diff --git "a/expression/combination_500_value1000-10000/base6_depth4.jsonl" "b/expression/combination_500_value1000-10000/base6_depth4.jsonl" new file mode 100644--- /dev/null +++ "b/expression/combination_500_value1000-10000/base6_depth4.jsonl" @@ -0,0 +1,1000 @@ +{"id":1,"expression_no_base_symbol":"⫶⊄≣(⪫⨮⊛($8925$⨻⩈⩔$3805$⪍↜⋙$1642$⋛$3838$))","expression":"⫶⊄≣(⪫⨮⊛(↹⩛105153⨻⩈⩔↹⩛25341⪍↜⋙↹⩛11334⋛↹⩛25434))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":109684784,"operation_count":5,"complexity_ratio":21936956.8,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":8925,"base":6},"right_expr":{"type":"numeric_atoms","value":3805,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1642,"base":6},"right_expr":{"type":"numeric_atoms","value":3838,"base":6}}}}},"used_operators":["wxb3vTeyAj","w5FWba1tyO","L05ObWFQCd","nEsXyWgiOK","YbUVn0Rbpy"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8925","layer":4},{"info":"number node, value=3805","layer":4},{"info":"compute binary expreesion, left_input=8925, right_input=3805, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=62999","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=3838","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=3838, 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=-117414","layer":3},{"info":"compute binary expreesion, left_input=62999, right_input=-117414, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=360826","layer":2},{"info":"compute unary expreesion, input=360826, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫶⊄≣(⪫⨮⊛(↹⩛105153⨻⩈⩔↹⩛25341⪍↜⋙↹⩛11334⋛↹⩛25434))=NaN","reverse_text":"NaN=⫶⊄≣(⪫⨮⊛(↹⩛105153⨻⩈⩔↹⩛25341⪍↜⋙↹⩛11334⋛↹⩛25434))","cot":[{"info":"↹⩛105153⨻⩈⩔↹⩛25341=↹⩛1203355","layer":3},{"info":"↹⩛11334⋛↹⩛25434=↹⩛-2303330","layer":3},{"info":"↹⩛1203355⪍↜⋙↹⩛-2303330=↹⩛11422254","layer":2},{"info":"⪫⨮⊛↹⩛11422254=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]} +{"id":2,"expression_no_base_symbol":"+⊝⨔(≦∁($1886$≀⩗∶$4637$)≄⊠(↑$3917$))","expression":"+⊝⨔(≦∁(↹⩛12422≀⩗∶↹⩛33245)≄⊠(↑↹⩛30045))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":173,"operation_count":5,"complexity_ratio":34.6,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1886,"base":6},"right_expr":{"type":"numeric_atoms","value":4637,"base":6}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3917,"base":6}}}}},"used_operators":["DhbWaqg5eL","9ICcGScMcE","vXNesLlMH1","8INZBEW696","tR7O2zTn5j"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"↹⩛11014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=4637, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"number node, value=3917","layer":4},{"info":"compute unary expreesion, input=3917, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=192, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1500","layer":1},{"info":"compute unary expreesion, input=1500, 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":6,"result_base":6,"text":"+⊝⨔(≦∁(↹⩛12422≀⩗∶↹⩛33245)≄⊠(↑↹⩛30045))=↹⩛11014","reverse_text":"↹⩛11014=+⊝⨔(≦∁(↹⩛12422≀⩗∶↹⩛33245)≄⊠(↑↹⩛30045))","cot":[{"info":"↹⩛12422≀⩗∶↹⩛33245=↹⩛-10","layer":3},{"info":"↑↹⩛30045=↹⩛520","layer":3},{"info":"↹⩛-10≄⊠↹⩛520=↹⩛10540","layer":2},{"info":"≦∁↹⩛10540=↹⩛10540","layer":1},{"info":"+⊝⨔↹⩛10540=↹⩛11014","layer":0}]} +{"id":3,"expression_no_base_symbol":"⪡⇡≛(($5622$∷$1795$)⪍↜⋙(≪$3897$)⫃⨇(($8903$⊓⋫)⊉≛↸($3006$∲⫓$6971$)))","expression":"⪡⇡≛((↹⩛42010∷↹⩛12151)⪍↜⋙(≪↹⩛30013)⫃⨇((↹⩛105115⊓⋫)⊉≛↸(↹⩛21530∲⫓↹⩛52135)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":134,"operation_count":8,"complexity_ratio":16.75,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":5622,"base":6},"right_expr":{"type":"numeric_atoms","value":1795,"base":6}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3897,"base":6}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":8903,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3006,"base":6},"right_expr":{"type":"numeric_atoms","value":6971,"base":6}}}}},"used_operators":["qL4PrbW1Dq","09Ly4LVMIf","L05ObWFQCd","D3AQDKkPcf","Qtd6bqUJcN","DZ8iAZOCBD","IqGBaFP0uj","i8ToyICDmI"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-52","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5622","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=5622, right_input=1795, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1795","layer":3},{"info":"number node, value=3897","layer":4},{"info":"compute unary expreesion, input=3897, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=1795, right_input=913, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1764","layer":2},{"info":"number node, value=8903","layer":4},{"info":"compute unary expreesion, input=8903, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-9031","layer":3},{"info":"number node, value=3006","layer":4},{"info":"number node, value=6971","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=6971, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9031, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1764, right_input=0, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-32","layer":1},{"info":"compute unary expreesion, input=-32, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-32","layer":0}],"base":6,"result_base":6,"text":"⪡⇡≛((↹⩛42010∷↹⩛12151)⪍↜⋙(≪↹⩛30013)⫃⨇((↹⩛105115⊓⋫)⊉≛↸(↹⩛21530∲⫓↹⩛52135)))=↹⩛-52","reverse_text":"↹⩛-52=⪡⇡≛((↹⩛42010∷↹⩛12151)⪍↜⋙(≪↹⩛30013)⫃⨇((↹⩛105115⊓⋫)⊉≛↸(↹⩛21530∲⫓↹⩛52135)))","cot":[{"info":"↹⩛42010∷↹⩛12151=↹⩛12151","layer":3},{"info":"≪↹⩛30013=↹⩛4121","layer":3},{"info":"↹⩛12151⪍↜⋙↹⩛4121=↹⩛12100","layer":2},{"info":"↹⩛105115⊓⋫=↹⩛-105451","layer":3},{"info":"↹⩛21530∲⫓↹⩛52135=↹⩛0","layer":3},{"info":"↹⩛-105451⊉≛↸↹⩛0=↹⩛0","layer":2},{"info":"↹⩛12100⫃⨇↹⩛0=↹⩛-52","layer":1},{"info":"⪡⇡≛↹⩛-52=↹⩛-52","layer":0}]} +{"id":4,"expression_no_base_symbol":"(⨴⫝($2703$⋥≓≎$1683$)⊲⩕⊾$2532$⪒⊣⊆$3559$)∳⫺(($5629$⨒$3407$⪒$5399$≎⊠⪸$1222$)⨫⇇↔(⇜⊴$5755$⩍⋽⫝̸$4978$))","expression":"(⨴⫝(↹⩛20303⋥≓≎↹⩛11443)⊲⩕⊾↹⩛15420⪒⊣⊆↹⩛24251)∳⫺((↹⩛42021⨒↹⩛23435⪒↹⩛40555≎⊠⪸↹⩛5354)⨫⇇↔(⇜⊴↹⩛42351⩍⋽⫝̸↹⩛35014))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2295,"operation_count":11,"complexity_ratio":208.63636363636363,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2703,"base":6},"right_expr":{"type":"numeric_atoms","value":1683,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2532,"base":6},"right_expr":{"type":"numeric_atoms","value":3559,"base":6}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5629,"base":6},"right_expr":{"type":"numeric_atoms","value":3407,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5399,"base":6},"right_expr":{"type":"numeric_atoms","value":1222,"base":6}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5755,"base":6},"right_expr":{"type":"numeric_atoms","value":4978,"base":6}}}}},"used_operators":["AzXXKTstlj","SVb2v531z1","DmTXOeWf9t","Qy55tPpLXF","eRqsBgTDFp","LXhwmt4mBO","f6k1SAg4EE","y75s1iXyHd","bJkvcejdHO","XwDhCwWbUn","BiWNJpBvwn"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛-1112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2703","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=1683, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=696","layer":3},{"info":"number node, value=2532","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3559, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5064","layer":3},{"info":"compute binary expreesion, left_input=696, right_input=5064, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-58406","layer":2},{"info":"compute unary expreesion, input=-58406, 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=5629","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=5629, right_input=3407, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-33402","layer":3},{"info":"number node, value=5399","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=5399, right_input=1222, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1397868","layer":3},{"info":"compute binary expreesion, left_input=-33402, right_input=1397868, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1364466","layer":2},{"info":"number node, value=5755","layer":4},{"info":"number node, value=4978","layer":4},{"info":"compute binary expreesion, left_input=5755, right_input=4978, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4032","layer":3},{"info":"compute unary expreesion, input=4032, 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=-937838","layer":2},{"info":"compute binary expreesion, left_input=-1364466, right_input=-937838, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=2828198, right_input=-527, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":6,"result_base":6,"text":"(⨴⫝(↹⩛20303⋥≓≎↹⩛11443)⊲⩕⊾↹⩛15420⪒⊣⊆↹⩛24251)∳⫺((↹⩛42021⨒↹⩛23435⪒↹⩛40555≎⊠⪸↹⩛5354)⨫⇇↔(⇜⊴↹⩛42351⩍⋽⫝̸↹⩛35014))=↹⩛-1112","reverse_text":"↹⩛-1112=(⨴⫝(↹⩛20303⋥≓≎↹⩛11443)⊲⩕⊾↹⩛15420⪒⊣⊆↹⩛24251)∳⫺((↹⩛42021⨒↹⩛23435⪒↹⩛40555≎⊠⪸↹⩛5354)⨫⇇↔(⇜⊴↹⩛42351⩍⋽⫝̸↹⩛35014))","cot":[{"info":"↹⩛20303⋥≓≎↹⩛11443=↹⩛3120","layer":3},{"info":"↹⩛15420⪒⊣⊆↹⩛24251=↹⩛35240","layer":3},{"info":"↹⩛3120⊲⩕⊾↹⩛35240=↹⩛-1130222","layer":2},{"info":"⨴⫝↹⩛-1130222=↹⩛140341302","layer":1},{"info":"↹⩛42021⨒↹⩛23435=↹⩛-414350","layer":3},{"info":"↹⩛40555≎⊠⪸↹⩛5354=↹⩛45543340","layer":3},{"info":"↹⩛-414350⪒↹⩛45543340=↹⩛-45124550","layer":2},{"info":"↹⩛42351⩍⋽⫝̸↹⩛35014=↹⩛30400","layer":3},{"info":"⇜⊴↹⩛30400=↹⩛-32033502","layer":2},{"info":"↹⩛-45124550⨫⇇↔↹⩛-32033502=↹⩛-2235","layer":1},{"info":"↹⩛140341302∳⫺↹⩛-2235=↹⩛-1112","layer":0}]} +{"id":5,"expression_no_base_symbol":"⊖∈($1268$⪡$1488$)≨($3108$≨$5423$)⇌⫙⪟($2007$⪨⊡$2194$⨳⩥⨓($8515$⇔⨋))","expression":"⊖∈(↹⩛5512⪡↹⩛10520)≨(↹⩛22220≨↹⩛41035)⇌⫙⪟(↹⩛13143⪨⊡↹⩛14054⨳⩥⨓(↹⩛103231⇔⨋))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":253,"operation_count":8,"complexity_ratio":31.625,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1268,"base":6},"right_expr":{"type":"numeric_atoms","value":1488,"base":6}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3108,"base":6},"right_expr":{"type":"numeric_atoms","value":5423,"base":6}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2007,"base":6},"right_expr":{"type":"numeric_atoms","value":2194,"base":6}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":8515,"base":6}}}}},"used_operators":["YFxL8Sc2Zy","AFVx7xoS7T","0KMCeP1Jsh","oraRL2iQuh","nCS4ZIUYfx","kuIXHzHcAH","uBihLCJcMX"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛-23234","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1488, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=5423","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=5423, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28604","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-28604, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1406","layer":2},{"info":"number node, value=2007","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=2194, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=8515","layer":4},{"info":"compute unary expreesion, input=8515, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=50020","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=50020, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=50020","layer":2},{"info":"compute binary expreesion, left_input=1406, right_input=50020, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-3334","layer":0}],"base":6,"result_base":6,"text":"⊖∈(↹⩛5512⪡↹⩛10520)≨(↹⩛22220≨↹⩛41035)⇌⫙⪟(↹⩛13143⪨⊡↹⩛14054⨳⩥⨓(↹⩛103231⇔⨋))=↹⩛-23234","reverse_text":"↹⩛-23234=⊖∈(↹⩛5512⪡↹⩛10520)≨(↹⩛22220≨↹⩛41035)⇌⫙⪟(↹⩛13143⪨⊡↹⩛14054⨳⩥⨓(↹⩛103231⇔⨋))","cot":[{"info":"↹⩛5512⪡↹⩛10520=↹⩛255","layer":3},{"info":"↹⩛22220≨↹⩛41035=↹⩛-340232","layer":3},{"info":"↹⩛255≨↹⩛-340232=↹⩛10302","layer":2},{"info":"↹⩛13143⪨⊡↹⩛14054=↹⩛0","layer":3},{"info":"↹⩛103231⇔⨋=↹⩛1023324","layer":3},{"info":"↹⩛0⨳⩥⨓↹⩛1023324=↹⩛1023324","layer":2},{"info":"↹⩛10302⇌⫙⪟↹⩛1023324=↹⩛305","layer":1},{"info":"⊖∈↹⩛305=↹⩛-23234","layer":0}]} +{"id":6,"expression_no_base_symbol":"(⨦⪝(($1346$∷$4275$)⋛($4702$⪛⫼$2748$)))≚⋢","expression":"(⨦⪝((↹⩛10122∷↹⩛31443)⋛(↹⩛33434⪛⫼↹⩛20420)))≚⋢","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":561,"operation_count":5,"complexity_ratio":112.2,"tree":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1346,"base":6},"right_expr":{"type":"numeric_atoms","value":4275,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4702,"base":6},"right_expr":{"type":"numeric_atoms","value":2748,"base":6}}}}},"used_operators":["MahUMFw56D","SUjycxNXIR","YbUVn0Rbpy","D3AQDKkPcf","hyuBjUqXlG"],"dependent_operators":["3ViojmjbAp","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","NTOWxs364D","7j4O788W3g","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"↹⩛-225","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=4275, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4275","layer":3},{"info":"number node, value=4702","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=4702, right_input=2748, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=4275, right_input=968, 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=-93717","layer":2},{"info":"compute unary expreesion, input=-93717, 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 = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":0}],"base":6,"result_base":6,"text":"(⨦⪝((↹⩛10122∷↹⩛31443)⋛(↹⩛33434⪛⫼↹⩛20420)))≚⋢=↹⩛-225","reverse_text":"↹⩛-225=(⨦⪝((↹⩛10122∷↹⩛31443)⋛(↹⩛33434⪛⫼↹⩛20420)))≚⋢","cot":[{"info":"↹⩛10122∷↹⩛31443=↹⩛31443","layer":3},{"info":"↹⩛33434⪛⫼↹⩛20420=↹⩛4252","layer":3},{"info":"↹⩛31443⋛↹⩛4252=↹⩛-2001513","layer":2},{"info":"⨦⪝↹⩛-2001513=↹⩛-12420","layer":1},{"info":"↹⩛-12420≚⋢=↹⩛-225","layer":0}]} +{"id":7,"expression_no_base_symbol":"(≀↧⇸(∓⪦($1981$⇄$1424$)))⊕∕(($1164$↼⊘⨖$4062$⇴$6058$⊮⊟↴$5076$)⇤(≸≮($1456$≀⩗∶$6809$)))","expression":"(≀↧⇸(∓⪦(↹⩛13101⇄↹⩛10332)))⊕∕((↹⩛5220↼⊘⨖↹⩛30450⇴↹⩛44014⊮⊟↴↹⩛35300)⇤(≸≮(↹⩛10424≀⩗∶↹⩛51305)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":155,"operation_count":10,"complexity_ratio":15.5,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1981,"base":6},"right_expr":{"type":"numeric_atoms","value":1424,"base":6}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1164,"base":6},"right_expr":{"type":"numeric_atoms","value":4062,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6058,"base":6},"right_expr":{"type":"numeric_atoms","value":5076,"base":6}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1456,"base":6},"right_expr":{"type":"numeric_atoms","value":6809,"base":6}}}}},"used_operators":["9cloC0Ngie","ljTHtUsqzn","D309nIvmXG","3EYGwJThht","YSKBFp38Pu","4JB6nKBMSY","bPywburJMS","QDVgd2eftb","AljMvE3RRm","8INZBEW696"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","XPYlsWDdGa","23Mk6UjR3U","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛103124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=1424, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2119","layer":2},{"info":"compute unary expreesion, input=-2119, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8476","layer":1},{"info":"number node, value=1164","layer":4},{"info":"number node, value=4062","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=4062, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7902","layer":3},{"info":"number node, value=6058","layer":4},{"info":"number node, value=5076","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=5076, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7902, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=47026","layer":2},{"info":"number node, value=1456","layer":4},{"info":"number node, value=6809","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=6809, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-12","layer":3},{"info":"compute unary expreesion, input=-12, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-310","layer":2},{"info":"compute binary expreesion, left_input=47026, right_input=-310, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-230732","layer":1},{"info":"compute binary expreesion, left_input=8476, right_input=-230732, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=8476","layer":0}],"base":6,"result_base":6,"text":"(≀↧⇸(∓⪦(↹⩛13101⇄↹⩛10332)))⊕∕((↹⩛5220↼⊘⨖↹⩛30450⇴↹⩛44014⊮⊟↴↹⩛35300)⇤(≸≮(↹⩛10424≀⩗∶↹⩛51305)))=↹⩛103124","reverse_text":"↹⩛103124=(≀↧⇸(∓⪦(↹⩛13101⇄↹⩛10332)))⊕∕((↹⩛5220↼⊘⨖↹⩛30450⇴↹⩛44014⊮⊟↴↹⩛35300)⇤(≸≮(↹⩛10424≀⩗∶↹⩛51305)))","cot":[{"info":"↹⩛13101⇄↹⩛10332=↹⩛0","layer":3},{"info":"∓⪦↹⩛0=↹⩛-13451","layer":2},{"info":"≀↧⇸↹⩛-13451=↹⩛103124","layer":1},{"info":"↹⩛5220↼⊘⨖↹⩛30450=↹⩛100330","layer":3},{"info":"↹⩛44014⊮⊟↴↹⩛35300=↹⩛0","layer":3},{"info":"↹⩛100330⇴↹⩛0=↹⩛1001414","layer":2},{"info":"↹⩛10424≀⩗∶↹⩛51305=↹⩛-20","layer":3},{"info":"≸≮↹⩛-20=↹⩛-1234","layer":2},{"info":"↹⩛1001414⇤↹⩛-1234=↹⩛-4540112","layer":1},{"info":"↹⩛103124⊕∕↹⩛-4540112=↹⩛103124","layer":0}]} +{"id":8,"expression_no_base_symbol":"($2803$⋥⋵⩄$1033$⋥⋵⩄($1254$⊴$4690$))≴⪞⇿($2109$∺≝⩲$1062$≄⊠$3100$⨟⋌⩍$1112$)⊢((($2296$⫡⨏$3260$)≧⫂∧($2567$⫩⊇))↼⊘⨖$7170$⨿$3055$⊢(⊤⊝$1062$))","expression":"(↹⩛20551⋥⋵⩄↹⩛4441⋥⋵⩄(↹⩛5450⊴↹⩛33414))≴⪞⇿(↹⩛13433∺≝⩲↹⩛4530≄⊠↹⩛22204⨟⋌⩍↹⩛5052)⊢(((↹⩛14344⫡⨏↹⩛23032)≧⫂∧(↹⩛15515⫩⊇))↼⊘⨖↹⩛53110⨿↹⩛22051⊢(⊤⊝↹⩛4530))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5171,"operation_count":15,"complexity_ratio":344.73333333333335,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2803,"base":6},"right_expr":{"type":"numeric_atoms","value":1033,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1254,"base":6},"right_expr":{"type":"numeric_atoms","value":4690,"base":6}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2109,"base":6},"right_expr":{"type":"numeric_atoms","value":1062,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3100,"base":6},"right_expr":{"type":"numeric_atoms","value":1112,"base":6}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2296,"base":6},"right_expr":{"type":"numeric_atoms","value":3260,"base":6}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2567,"base":6}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":7170,"base":6},"right_expr":{"type":"numeric_atoms","value":3055,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1062,"base":6}}}}},"used_operators":["5twsqlHp2o","lvlrscuwVU","7t3wd0Fuz7","Nsiff2A1zJ","vXNesLlMH1","KPf6cnQVty","rGHVDoGpnC","bPywburJMS","Ph9nP6C5qx","QMFrweE19q","BjRHVeLaeN","abYXlopdE0","rXAclfmB4M"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","dWAJyo7jo9","14qkJME0vr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tcnh7f0tEr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2803","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=1033, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1254","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=4690, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=2109","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1062, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3100","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=3100, right_input=1112, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟��⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3260, 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=18783","layer":3},{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2525","layer":3},{"info":"compute binary expreesion, left_input=18783, right_input=-2525, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=21308","layer":2},{"info":"number node, value=7170","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=7170, right_input=3055, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=826","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=826, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=394","layer":2},{"info":"compute binary expreesion, left_input=21308, right_input=394, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=566","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=566, 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":6,"result_base":6,"text":"(↹⩛20551⋥⋵⩄↹⩛4441⋥⋵⩄(↹⩛5450⊴↹⩛33414))≴⪞⇿(↹⩛13433∺≝⩲↹⩛4530≄⊠↹⩛22204⨟⋌⩍↹⩛5052)⊢(((↹⩛14344⫡⨏↹⩛23032)≧⫂∧(↹⩛15515⫩⊇))↼⊘⨖↹⩛53110⨿↹⩛22051⊢(⊤⊝↹⩛4530))=NaN","reverse_text":"NaN=(↹⩛20551⋥⋵⩄↹⩛4441⋥⋵⩄(↹⩛5450⊴↹⩛33414))≴⪞⇿(↹⩛13433∺≝⩲↹⩛4530≄⊠↹⩛22204⨟⋌⩍↹⩛5052)⊢(((↹⩛14344⫡⨏↹⩛23032)≧⫂∧(↹⩛15515⫩⊇))↼⊘⨖↹⩛53110⨿↹⩛22051⊢(⊤⊝↹⩛4530))","cot":[{"info":"↹⩛20551⋥⋵⩄↹⩛4441=↹⩛305","layer":3},{"info":"↹⩛5450⊴↹⩛33414=NaN","layer":3},{"info":"↹⩛305⋥⋵⩄NaN=NaN","layer":2},{"info":"↹⩛13433∺≝⩲↹⩛4530=↹⩛424","layer":3},{"info":"↹⩛22204⨟⋌⩍↹⩛5052=NaN","layer":3},{"info":"↹⩛424≄⊠NaN=↹⩛10540","layer":2},{"info":"NaN≴⪞⇿↹⩛10540=NaN","layer":1},{"info":"↹⩛14344⫡⨏↹⩛23032=↹⩛222543","layer":3},{"info":"↹⩛15515⫩⊇=↹⩛-15405","layer":3},{"info":"↹⩛222543≧⫂∧↹⩛-15405=↹⩛242352","layer":2},{"info":"↹⩛53110⨿↹⩛22051=↹⩛-1251","layer":3},{"info":"⊤⊝↹⩛4530=↹⩛3454","layer":3},{"info":"↹⩛-1251⊢↹⩛3454=↹⩛1454","layer":2},{"info":"↹⩛242352↼⊘⨖↹⩛1454=↹⩛2342","layer":1},{"info":"NaN⊢↹⩛2342=NaN","layer":0}]} +{"id":9,"expression_no_base_symbol":"(((⨵$1255$)+⇶⊼($3977$%$2574$))∀⊥⇻)⋅⇍(∨∊⋏($1563$⊍⩺⋍$2176$))⇌⫙⪟$4416$↤⩊$2195$⨑⩅≇(⋃$3507$)","expression":"(((⨵↹⩛5451)+⇶⊼(↹⩛30225%↹⩛15530))∀⊥⇻)⋅⇍(∨∊⋏(↹⩛11123⊍⩺⋍↹⩛14024))⇌⫙⪟↹⩛32240↤⩊↹⩛14055⨑⩅≇(⋃↹⩛24123)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":636,"operation_count":11,"complexity_ratio":57.81818181818182,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1255,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3977,"base":6},"right_expr":{"type":"numeric_atoms","value":2574,"base":6}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⊍���⋍","left_expr":{"type":"numeric_atoms","value":1563,"base":6},"right_expr":{"type":"numeric_atoms","value":2176,"base":6}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4416,"base":6},"right_expr":{"type":"numeric_atoms","value":2195,"base":6}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3507,"base":6}}}}},"used_operators":["AdZkA7nFnk","k4iM1060OG","TpPTUOHfaN","Tl3Y52tvF8","k8jYdgA6NY","AFVx7xoS7T","R5aXW34M0v","OXDGMFPWZM","h92wMvzauj","13rbtpv6ld","3mBM5G4a3l"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","AHs5Up7iyr","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rysDP5nf3Z","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-11249","layer":3},{"info":"number node, value=3977","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=2574, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1403","layer":3},{"info":"compute binary expreesion, left_input=-11249, right_input=1403, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":1},{"info":"number node, value=1563","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2176, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":2},{"info":"number node, value=4416","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=4416, right_input=2195, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3507","layer":4},{"info":"compute unary expreesion, input=3507, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=7116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7116, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((⨵↹⩛5451)+⇶⊼(↹⩛30225%↹⩛15530))∀⊥⇻)⋅⇍(∨∊⋏(↹⩛11123⊍⩺⋍↹⩛14024))⇌⫙⪟↹⩛32240↤⩊↹⩛14055⨑⩅≇(⋃↹⩛24123)=NaN","reverse_text":"NaN=(((⨵↹⩛5451)+⇶⊼(↹⩛30225%↹⩛15530))∀⊥⇻)⋅⇍(∨∊⋏(↹⩛11123⊍⩺⋍↹⩛14024))⇌⫙⪟↹⩛32240↤⩊↹⩛14055⨑⩅≇(⋃↹⩛24123)","cot":[{"info":"⨵↹⩛5451=↹⩛-124025","layer":3},{"info":"↹⩛30225%↹⩛15530=↹⩛10255","layer":3},{"info":"↹⩛-124025+⇶⊼↹⩛10255=NaN","layer":2},{"info":"NaN∀⊥⇻=NaN","layer":1},{"info":"↹⩛11123⊍⩺⋍↹⩛14024=NaN","layer":3},{"info":"∨∊⋏NaN=NaN","layer":2},{"info":"↹⩛32240↤⩊↹⩛14055=NaN","layer":3},{"info":"⋃↹⩛24123=↹⩛52540","layer":3},{"info":"NaN⨑⩅≇↹⩛52540=↹⩛4155","layer":2},{"info":"NaN⇌⫙⪟↹⩛4155=NaN","layer":1},{"info":"NaN⋅⇍NaN=NaN","layer":0}]} +{"id":10,"expression_no_base_symbol":"⇈(($2074$⩘$4140$∪⫐$7933$≀⫉$3373$)⫸⊐($4043$⇌⫙⪟$8163$∙∹∝$3928$⪚$5306$))","expression":"⇈((↹⩛13334⩘↹⩛31100∪⫐↹⩛100421≀⫉↹⩛23341)⫸⊐(↹⩛30415⇌⫙⪟↹⩛101443∙∹∝↹⩛30104⪚↹⩛40322))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1324,"operation_count":8,"complexity_ratio":165.5,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2074,"base":6},"right_expr":{"type":"numeric_atoms","value":4140,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7933,"base":6},"right_expr":{"type":"numeric_atoms","value":3373,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4043,"base":6},"right_expr":{"type":"numeric_atoms","value":8163,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3928,"base":6},"right_expr":{"type":"numeric_atoms","value":5306,"base":6}}}}},"used_operators":["SLLxy00UIr","mqXw5SEYmG","7YooWSwCyH","cHh1gJQ2o6","oZj3VtZNQx","HmxsFra2vL","AFVx7xoS7T","HrjLwUk87U"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2074","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=4140, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=7933","layer":4},{"info":"number node, value=3373","layer":4},{"info":"compute binary expreesion, left_input=7933, right_input=3373, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2822, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=160","layer":2},{"info":"number node, value=4043","layer":4},{"info":"number node, value=8163","layer":4},{"info":"compute binary expreesion, left_input=4043, right_input=8163, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=3928","layer":4},{"info":"number node, value=5306","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=5306, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3112","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-3112, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":1},{"info":"compute unary expreesion, input=320, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"⇈((↹⩛13334⩘↹⩛31100∪⫐↹⩛100421≀⫉↹⩛23341)⫸⊐(↹⩛30415⇌⫙⪟↹⩛101443∙∹∝↹⩛30104⪚↹⩛40322))=↹⩛-2023","reverse_text":"↹⩛-2023=⇈((↹⩛13334⩘↹⩛31100∪⫐↹⩛100421≀⫉↹⩛23341)⫸⊐(↹⩛30415⇌⫙⪟↹⩛101443∙∹∝↹⩛30104⪚↹⩛40322))","cot":[{"info":"↹⩛13334⩘↹⩛31100=↹⩛424","layer":3},{"info":"↹⩛100421≀⫉↹⩛23341=↹⩛21022","layer":3},{"info":"↹⩛424∪⫐↹⩛21022=↹⩛424","layer":2},{"info":"↹⩛30415⇌⫙⪟↹⩛101443=↹⩛305","layer":3},{"info":"↹⩛30104⪚↹⩛40322=↹⩛-22224","layer":3},{"info":"↹⩛305∙∹∝↹⩛-22224=↹⩛0","layer":2},{"info":"↹⩛424⫸⊐↹⩛0=↹⩛1252","layer":1},{"info":"⇈↹⩛1252=↹⩛-2023","layer":0}]} +{"id":11,"expression_no_base_symbol":"(≋(⇜⊴$3926$))⩼⇪↪((⩦⩻⨪$2443$)⪨⊡(⪹$6333$))⩼⇪↪(≪($8160$≀⫉$3542$∲⫓$5645$∓⋝$1068$))","expression":"(≋(⇜⊴↹⩛30102))⩼⇪↪((⩦⩻⨪↹⩛15151)⪨⊡(⪹↹⩛45153))⩼⇪↪(≪(↹⩛101440≀⫉↹⩛24222∲⫓↹⩛42045∓⋝↹⩛4540))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":368,"operation_count":11,"complexity_ratio":33.45454545454545,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3926,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2443,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":6333,"base":6}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8160,"base":6},"right_expr":{"type":"numeric_atoms","value":3542,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5645,"base":6},"right_expr":{"type":"numeric_atoms","value":1068,"base":6}}}}},"used_operators":["ocnLzx9CaJ","61wBmkZwlr","XwDhCwWbUn","kuIXHzHcAH","2td37pGCOC","USyYr0JgAa","Qtd6bqUJcN","i8ToyICDmI","oZj3VtZNQx","PoHhknlbAi"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","7j4O788W3g","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"↹⩛-222022534","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3926","layer":4},{"info":"compute unary expreesion, input=3926, 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=-912822","layer":3},{"info":"compute unary expreesion, input=-912822, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-912822","layer":2},{"info":"number node, value=2443","layer":4},{"info":"compute unary expreesion, input=2443, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2443","layer":3},{"info":"number node, value=6333","layer":4},{"info":"compute unary expreesion, input=6333, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-6153","layer":3},{"info":"compute binary expreesion, left_input=2443, right_input=-6153, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=25401","layer":2},{"info":"compute binary expreesion, left_input=-912822, right_input=25401, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2004234","layer":1},{"info":"number node, value=8160","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=8160, right_input=3542, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5645","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=5645, right_input=1068, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=67, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, 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=-2004234, right_input=913, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4015642","layer":0}],"base":6,"result_base":6,"text":"(≋(⇜⊴↹⩛30102))⩼⇪↪((⩦⩻⨪↹⩛15151)⪨⊡(⪹↹⩛45153))⩼⇪↪(≪(↹⩛101440≀⫉↹⩛24222∲⫓↹⩛42045∓⋝↹⩛4540))=↹⩛-222022534","reverse_text":"↹⩛-222022534=(≋(⇜⊴↹⩛30102))⩼⇪↪((⩦⩻⨪↹⩛15151)⪨⊡(⪹↹⩛45153))⩼⇪↪(≪(↹⩛101440≀⫉↹⩛24222∲⫓↹⩛42045∓⋝↹⩛4540))","cot":[{"info":"⇜⊴↹⩛30102=↹⩛-31322010","layer":3},{"info":"≋↹⩛-31322010=↹⩛-31322010","layer":2},{"info":"⩦⩻⨪↹⩛15151=↹⩛15151","layer":3},{"info":"⪹↹⩛45153=↹⩛-44253","layer":3},{"info":"↹⩛15151⪨⊡↹⩛-44253=↹⩛313333","layer":2},{"info":"↹⩛-31322010⩼⇪↪↹⩛313333=↹⩛-110542510","layer":1},{"info":"↹⩛101440≀⫉↹⩛24222=↹⩛21022","layer":3},{"info":"↹⩛42045∓⋝↹⩛4540=↹⩛151","layer":3},{"info":"↹⩛21022∲⫓↹⩛151=↹⩛21022","layer":2},{"info":"≪↹⩛21022=↹⩛4121","layer":1},{"info":"↹⩛-110542510⩼⇪↪↹⩛4121=↹⩛-222022534","layer":0}]} +{"id":12,"expression_no_base_symbol":"(∑⇻≧(⩎⋉($4033$≚⊃≕$4096$)))⊝","expression":"(∑⇻≧(⩎⋉(↹⩛30401≚⊃≕↹⩛30544)))⊝","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":101,"operation_count":4,"complexity_ratio":25.25,"tree":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4033,"base":6},"right_expr":{"type":"numeric_atoms","value":4096,"base":6}}}}},"used_operators":["O6EZ0fifGK","l1M9WJ3V7u","FlXk3pOYe8","Bmrmz2XGnR"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛101222","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":4},{"info":"number node, value=4096","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=4096, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 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=-8252","layer":2},{"info":"compute unary expreesion, input=-8252, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=8078","layer":1},{"info":"compute unary expreesion, input=8078, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=8078","layer":0}],"base":6,"result_base":6,"text":"(∑⇻≧(⩎⋉(↹⩛30401≚⊃≕↹⩛30544)))⊝=↹⩛101222","reverse_text":"↹⩛101222=(∑⇻≧(⩎⋉(↹⩛30401≚⊃≕↹⩛30544)))⊝","cot":[{"info":"↹⩛30401≚⊃≕↹⩛30544=↹⩛151","layer":3},{"info":"⩎⋉↹⩛151=↹⩛-102112","layer":2},{"info":"∑⇻≧↹⩛-102112=↹⩛101222","layer":1},{"info":"↹⩛101222⊝=↹⩛101222","layer":0}]} +{"id":13,"expression_no_base_symbol":"(⇁⨣⪵($1592$⇽⩪)⊢($1174$⨳⩥⨓$2835$))⫁⪎($4317$⋕⪉⪜$1171$⪊≅)≝⊿(($1202$%$1300$)↙($1198$↺$2647$))","expression":"(⇁⨣⪵(↹⩛11212⇽⩪)⊢(↹⩛5234⨳⩥⨓↹⩛21043))⫁⪎(↹⩛31553⋕⪉⪜↹⩛5231⪊≅)≝⊿((↹⩛5322%↹⩛10004)↙(↹⩛5314↺↹⩛20131))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2756,"operation_count":11,"complexity_ratio":250.54545454545453,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1592,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1174,"base":6},"right_expr":{"type":"numeric_atoms","value":2835,"base":6}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4317,"base":6},"right_expr":{"type":"numeric_atoms","value":1171,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1202,"base":6},"right_expr":{"type":"numeric_atoms","value":1300,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1198,"base":6},"right_expr":{"type":"numeric_atoms","value":2647,"base":6}}}}},"used_operators":["xRrnTEsQ6j","inkyxCbjAn","5twsqlHp2o","FonBHBYJbU","nCS4ZIUYfx","OKKcZfAt5B","bjFbhXSADs","z6LnFrNh4i","yyfyN0ffXY","k8jYdgA6NY","7j4O788W3g"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","12rbrZMWeM","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3706","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2835, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1661","layer":3},{"info":"compute binary expreesion, left_input=3706, right_input=1661, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7656","layer":2},{"info":"compute unary expreesion, input=-7656, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=4317","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=4317, right_input=1171, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=1202","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1300, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1202","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2647, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2647","layer":3},{"info":"compute binary expreesion, left_input=1202, right_input=2647, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7941","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-7941, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=15349","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15349, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇁⨣⪵(↹⩛11212⇽⩪)⊢(↹⩛5234⨳⩥⨓↹⩛21043))⫁⪎(↹⩛31553⋕⪉⪜↹⩛5231⪊≅)≝⊿((↹⩛5322%↹⩛10004)↙(↹⩛5314↺↹⩛20131))=NaN","reverse_text":"NaN=(⇁⨣⪵(↹⩛11212⇽⩪)⊢(↹⩛5234⨳⩥⨓↹⩛21043))⫁⪎(↹⩛31553⋕⪉⪜↹⩛5231⪊≅)≝⊿((↹⩛5322%↹⩛10004)↙(↹⩛5314↺↹⩛20131))","cot":[{"info":"↹⩛11212⇽⩪=↹⩛25054","layer":3},{"info":"↹⩛5234⨳⩥⨓↹⩛21043=↹⩛11405","layer":3},{"info":"↹⩛25054⊢↹⩛11405=↹⩛-55240","layer":2},{"info":"⇁⨣⪵↹⩛-55240=NaN","layer":1},{"info":"↹⩛31553⋕⪉⪜↹⩛5231=↹⩛20550","layer":3},{"info":"↹⩛20550⪊≅=↹⩛0","layer":2},{"info":"↹⩛5322%↹⩛10004=↹⩛5322","layer":3},{"info":"↹⩛5314↺↹⩛20131=↹⩛20131","layer":3},{"info":"↹⩛5322↙↹⩛20131=↹⩛-100433","layer":2},{"info":"↹⩛0≝⊿↹⩛-100433=↹⩛155021","layer":1},{"info":"NaN⫁⪎↹⩛155021=NaN","layer":0}]} +{"id":14,"expression_no_base_symbol":"((⋗⩬⋾$3188$⪟⇏$7502$)⫳≱↱($4188$⊢$3289$)⫣⪄⊒(∮$1093$))⫲⨊","expression":"((⋗⩬⋾↹⩛22432⪟⇏↹⩛54422)⫳≱↱(↹⩛31220⊢↹⩛23121)⫣⪄⊒(∮↹⩛5021))⫲⨊","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":641,"operation_count":7,"complexity_ratio":91.57142857142857,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3188,"base":6},"right_expr":{"type":"numeric_atoms","value":7502,"base":6}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4188,"base":6},"right_expr":{"type":"numeric_atoms","value":3289,"base":6}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1093,"base":6}}}}},"used_operators":["CArV6hThFE","ZvLB05nZmT","DpFCA1CohY","GODebY97qR","RabNbG55vr","5twsqlHp2o","CqXKPLVYql"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛-1033","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3188","layer":4},{"info":"number node, value=7502","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=7502, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=3","layer":2},{"info":"number node, value=4188","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=3289, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8620","layer":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-8620, right_input=67, 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":2},{"info":"compute binary expreesion, left_input=3, right_input=160, 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 = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-237","layer":0}],"base":6,"result_base":6,"text":"((⋗⩬⋾↹⩛22432⪟⇏↹⩛54422)⫳≱↱(↹⩛31220⊢↹⩛23121)⫣⪄⊒(∮↹⩛5021))⫲⨊=↹⩛-1033","reverse_text":"↹⩛-1033=((⋗⩬⋾↹⩛22432⪟⇏↹⩛54422)⫳≱↱(↹⩛31220⊢↹⩛23121)⫣⪄⊒(∮↹⩛5021))⫲⨊","cot":[{"info":"↹⩛22432⪟⇏↹⩛54422=↹⩛-1","layer":3},{"info":"⋗⩬⋾↹⩛-1=↹⩛3","layer":2},{"info":"↹⩛31220⊢↹⩛23121=↹⩛-103524","layer":3},{"info":"∮↹⩛5021=↹⩛151","layer":3},{"info":"↹⩛-103524⫣⪄⊒↹⩛151=↹⩛424","layer":2},{"info":"↹⩛3⫳≱↱↹⩛424=↹⩛-540","layer":1},{"info":"↹⩛-540⫲⨊=↹⩛-1033","layer":0}]} +{"id":15,"expression_no_base_symbol":"(⇺⋃((↞≼$1212$)⨑≵⋬($2829$⫻⋑⊟)))⊱⇼⊻(($1695$⨚⇆$1071$)⨐(⩦⊞$1386$)⋣⋖(⫶⊄≣(⪸$1041$)))","expression":"(⇺⋃((↞≼↹⩛5340)⨑≵⋬(↹⩛21033⫻⋑⊟)))⊱⇼⊻((↹⩛11503⨚⇆↹⩛4543)⨐(⩦⊞↹⩛10230)⋣⋖(⫶⊄≣(⪸↹⩛4453)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29565,"operation_count":11,"complexity_ratio":2687.7272727272725,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1212,"base":6}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2829,"base":6}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1695,"base":6},"right_expr":{"type":"numeric_atoms","value":1071,"base":6}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1386,"base":6}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1041,"base":6}}}}},"used_operators":["FyVja0WsTP","E5v5B3UAjG","XnXgA4xnOs","DE7zCoGJt9","o575Zjdmzy","J0M6qkBnIM","Noe24qw2ks","lwHaAYXP2r","u7fv1HBiaC","wxb3vTeyAj","86A5ENbKR9"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=9282","layer":3},{"info":"number node, value=2829","layer":4},{"info":"compute unary expreesion, input=2829, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-5148","layer":3},{"info":"compute binary expreesion, left_input=9282, right_input=-5148, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=95153","layer":2},{"info":"compute unary expreesion, input=95153, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"number node, value=1695","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=1071, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1113, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":2},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-17488","layer":3},{"info":"compute unary expreesion, input=-17488, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇺⋃((↞≼↹⩛5340)⨑≵⋬(↹⩛21033⫻⋑⊟)))⊱⇼⊻((↹⩛11503⨚⇆↹⩛4543)⨐(⩦⊞↹⩛10230)⋣⋖(⫶⊄≣(⪸↹⩛4453)))=NaN","reverse_text":"NaN=(⇺⋃((↞≼↹⩛5340)⨑≵⋬(↹⩛21033⫻⋑⊟)))⊱⇼⊻((↹⩛11503⨚⇆↹⩛4543)⨐(⩦⊞↹⩛10230)⋣⋖(⫶⊄≣(⪸↹⩛4453)))","cot":[{"info":"↞≼↹⩛5340=↹⩛110550","layer":3},{"info":"↹⩛21033⫻⋑⊟=↹⩛-35500","layer":3},{"info":"↹⩛110550⨑≵⋬↹⩛-35500=↹⩛2012305","layer":2},{"info":"⇺⋃↹⩛2012305=NaN","layer":1},{"info":"↹⩛11503⨚⇆↹⩛4543=NaN","layer":3},{"info":"⩦⊞↹⩛10230=↹⩛-5053","layer":3},{"info":"NaN⨐↹⩛-5053=NaN","layer":2},{"info":"⪸↹⩛4453=↹⩛-212544","layer":3},{"info":"⫶⊄≣↹⩛-212544=Inf","layer":2},{"info":"NaN⋣⋖Inf=NaN","layer":1},{"info":"NaN⊱⇼⊻NaN=NaN","layer":0}]} +{"id":16,"expression_no_base_symbol":"((($1526$⊨$1379$)⊵↤)⩖⊿($5831$⊕∕$6263$⪭(↡$5636$)))⩦(($5726$↳≱$6193$⪬∳)↸($1055$⫩)⩼⇪↪(+⊝⨔$2664$))","expression":"(((↹⩛11022⊨↹⩛10215)⊵↤)⩖⊿(↹⩛42555⊕∕↹⩛44555⪭(↡↹⩛42032)))⩦((↹⩛42302↳≱↹⩛44401⪬∳)↸(↹⩛4515⫩)⩼⇪↪(+⊝⨔↹⩛20200))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1372,"operation_count":13,"complexity_ratio":105.53846153846153,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1526,"base":6},"right_expr":{"type":"numeric_atoms","value":1379,"base":6}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5831,"base":6},"right_expr":{"type":"numeric_atoms","value":6263,"base":6}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":5636,"base":6}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5726,"base":6},"right_expr":{"type":"numeric_atoms","value":6193,"base":6}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1055,"base":6}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2664,"base":6}}}}},"used_operators":["0kmYd0q39Y","RZ5CV9rWsJ","7IPrd9c3lf","vg4gO5BX6G","j9kHMeSvPp","9cloC0Ngie","MXaNJeIAZ3","1eCjFl0mb9","O9U3z1385E","JwTKLfZU96","ocnLzx9CaJ","6aG7x05OhS","DhbWaqg5eL"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","COABgblf1C","xUOZtlo3hN","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"↹⩛25344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1379, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7135","layer":3},{"info":"compute unary expreesion, input=7135, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"number node, value=5831","layer":4},{"info":"number node, value=6263","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=6263, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5831","layer":3},{"info":"number node, value=5636","layer":4},{"info":"compute unary expreesion, input=5636, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=50724","layer":3},{"info":"compute binary expreesion, left_input=5831, right_input=50724, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=5, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1904","layer":1},{"info":"number node, value=5726","layer":4},{"info":"number node, value=6193","layer":4},{"info":"compute binary expreesion, left_input=5726, right_input=6193, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2664","layer":4},{"info":"compute unary expreesion, input=2664, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=1904, right_input=-709, op_id = 0kmYd0q39Y binary_op_definition= 'a���b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3808","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛11022⊨↹⩛10215)⊵↤)⩖⊿(↹⩛42555⊕∕↹⩛44555⪭(↡↹⩛42032)))⩦((↹⩛42302↳≱↹⩛44401⪬∳)↸(↹⩛4515⫩)⩼⇪↪(+⊝⨔↹⩛20200))=↹⩛25344","reverse_text":"↹⩛25344=(((↹⩛11022⊨↹⩛10215)⊵↤)⩖⊿(↹⩛42555⊕∕↹⩛44555⪭(↡↹⩛42032)))⩦((↹⩛42302↳≱↹⩛44401⪬∳)↸(↹⩛4515⫩)⩼⇪↪(+⊝⨔↹⩛20200))","cot":[{"info":"↹⩛11022⊨↹⩛10215=↹⩛53011","layer":3},{"info":"↹⩛53011⊵↤=↹⩛151","layer":2},{"info":"↹⩛42555⊕∕↹⩛44555=↹⩛42555","layer":3},{"info":"↡↹⩛42032=↹⩛1030500","layer":3},{"info":"↹⩛42555⪭↹⩛1030500=↹⩛5","layer":2},{"info":"↹⩛151⩖⊿↹⩛5=↹⩛12452","layer":1},{"info":"↹⩛42302↳≱↹⩛44401=↹⩛0","layer":3},{"info":"↹⩛0⪬∳=↹⩛-3141","layer":2},{"info":"↹⩛4515⫩=NaN","layer":3},{"info":"+⊝⨔↹⩛20200=↹⩛11014","layer":3},{"info":"NaN⩼⇪↪↹⩛11014=NaN","layer":2},{"info":"↹⩛-3141↸NaN=↹⩛-3141","layer":1},{"info":"↹⩛12452⩦↹⩛-3141=↹⩛25344","layer":0}]} +{"id":17,"expression_no_base_symbol":"(↽≂($1024$⋾⨃∁$3072$)≚⊃≕($1577$∧))⩧⪆(($2075$⨐⩸⫘$2615$)≎⊠⪸($7163$⫌⩉⩟$1114$))⨪↰⇹(≯(⩎⋉$1132$))","expression":"(↽≂(↹⩛4424⋾⨃∁↹⩛22120)≚⊃≕(↹⩛11145∧))⩧⪆((↹⩛13335⨐⩸⫘↹⩛20035)≎⊠⪸(↹⩛53055⫌⩉⩟↹⩛5054))⨪↰⇹(≯(⩎⋉↹⩛5124))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8455,"operation_count":11,"complexity_ratio":768.6363636363636,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1024,"base":6},"right_expr":{"type":"numeric_atoms","value":3072,"base":6}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1577,"base":6}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2075,"base":6},"right_expr":{"type":"numeric_atoms","value":2615,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":7163,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1132,"base":6}}}}},"used_operators":["Ikt5ks8PT7","u6S6b8DprG","Bmrmz2XGnR","212REbPD9h","z63VuFQld9","tmPS8pqC7x","bJkvcejdHO","fu6greOZ01","XIIwhv8d0m","keWfFq85dY","FlXk3pOYe8"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g55IO6H4Gj","JLbD19bQDL","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=3072, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=94334882","layer":3},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=94334882, 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=-377342922","layer":2},{"info":"compute unary expreesion, input=-377342922, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=754685844","layer":1},{"info":"number node, value=2075","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=2615, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7163","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=7163, right_input=1114, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=754685844, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↽≂(↹⩛4424⋾⨃∁↹⩛22120)≚⊃≕(↹⩛11145∧))⩧⪆((↹⩛13335⨐⩸⫘↹⩛20035)≎⊠⪸(↹⩛53055⫌⩉⩟↹⩛5054))⨪↰⇹(≯(⩎⋉↹⩛5124))=NaN","reverse_text":"NaN=(↽≂(↹⩛4424⋾⨃∁↹⩛22120)≚⊃≕(↹⩛11145∧))⩧⪆((↹⩛13335⨐⩸⫘↹⩛20035)≎⊠⪸(↹⩛53055⫌⩉⩟↹⩛5054))⨪↰⇹(≯(⩎⋉↹⩛5124))","cot":[{"info":"↹⩛4424⋾⨃∁↹⩛22120=↹⩛13205531322","layer":3},{"info":"↹⩛11145∧=NaN","layer":3},{"info":"↹⩛13205531322≚⊃≕NaN=↹⩛-101235433550","layer":2},{"info":"↽≂↹⩛-101235433550=↹⩛202515311540","layer":1},{"info":"↹⩛13335⨐⩸⫘↹⩛20035=NaN","layer":3},{"info":"↹⩛53055⫌⩉⩟↹⩛5054=↹⩛-122","layer":3},{"info":"NaN≎⊠⪸↹⩛-122=NaN","layer":2},{"info":"⩎⋉↹⩛5124=↹⩛11350","layer":3},{"info":"≯↹⩛11350=↹⩛0","layer":2},{"info":"NaN⨪↰⇹↹⩛0=NaN","layer":1},{"info":"↹⩛202515311540⩧⪆NaN=NaN","layer":0}]} +{"id":18,"expression_no_base_symbol":"∤↝(($5304$⫔⩽⩺$5502$)⪔($1352$⨽$2114$))⫘(($6715$⫰⋱$2076$)⪭≯(∑⇻≧$1530$))","expression":"∤↝((↹⩛40320⫔⩽⩺↹⩛41250)⪔(↹⩛10132⨽↹⩛13442))⫘((↹⩛51031⫰⋱↹⩛13340)⪭≯(∑⇻≧↹⩛11030))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7988,"operation_count":8,"complexity_ratio":998.5,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5304,"base":6},"right_expr":{"type":"numeric_atoms","value":5502,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1352,"base":6},"right_expr":{"type":"numeric_atoms","value":2114,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6715,"base":6},"right_expr":{"type":"numeric_atoms","value":2076,"base":6}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1530,"base":6}}}}},"used_operators":["3UMq87Qwqg","48vC8HMD2b","GjBEYRfMaF","i9eR4S00cU","8HhzD0ZcuI","XAx5wpdLa6","6o9Blt3TJ6","l1M9WJ3V7u"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Tw270M8GLb","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5304","layer":4},{"info":"number node, value=5502","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=5502, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=2114, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5488740","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5488740, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=6715","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=6715, right_input=2076, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6682","layer":3},{"info":"number node, value=1530","layer":4},{"info":"compute unary expreesion, input=1530, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-6682, right_input=-852, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∤↝((↹⩛40320⫔⩽⩺↹⩛41250)⪔(↹⩛10132⨽↹⩛13442))⫘((↹⩛51031⫰⋱↹⩛13340)⪭≯(∑⇻≧↹⩛11030))=NaN","reverse_text":"NaN=∤↝((↹⩛40320⫔⩽⩺↹⩛41250)⪔(↹⩛10132⨽↹⩛13442))⫘((↹⩛51031⫰⋱↹⩛13340)⪭≯(∑⇻≧↹⩛11030))","cot":[{"info":"↹⩛40320⫔⩽⩺↹⩛41250=NaN","layer":3},{"info":"↹⩛10132⨽↹⩛13442=↹⩛-313350500","layer":3},{"info":"NaN⪔↹⩛-313350500=NaN","layer":2},{"info":"↹⩛51031⫰⋱↹⩛13340=↹⩛-50534","layer":3},{"info":"∑⇻≧↹⩛11030=↹⩛-3540","layer":3},{"info":"↹⩛-50534⪭≯↹⩛-3540=NaN","layer":2},{"info":"NaN⫘NaN=NaN","layer":1},{"info":"∤↝NaN=NaN","layer":0}]} +{"id":19,"expression_no_base_symbol":"(↨⩢⫨($3488$⊬⨰$1867$⩧⪆($1173$⫳≱↱$4326$)))⊕∕(($1247$≧⫂∧$4386$⪄$2744$⊲⩕⊾$1460$)⇽⩪)","expression":"(↨⩢⫨(↹⩛24052⊬⨰↹⩛12351⩧⪆(↹⩛5233⫳≱↱↹⩛32010)))⊕∕((↹⩛5435≧⫂∧↹⩛32150⪄↹⩛20412⊲⩕⊾↹⩛10432)⇽⩪)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":530,"operation_count":9,"complexity_ratio":58.888888888888886,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3488,"base":6},"right_expr":{"type":"numeric_atoms","value":1867,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1173,"base":6},"right_expr":{"type":"numeric_atoms","value":4326,"base":6}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1247,"base":6},"right_expr":{"type":"numeric_atoms","value":4386,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2744,"base":6},"right_expr":{"type":"numeric_atoms","value":1460,"base":6}}}}},"used_operators":["9cloC0Ngie","Z5CJsN7DuW","Ikt5ks8PT7","s3Fd5m9Dh2","ZvLB05nZmT","FonBHBYJbU","SUmda5xLS4","Ph9nP6C5qx","DmTXOeWf9t"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3488","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=1867, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9900","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=4326, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=9900, right_input=-204, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1247","layer":4},{"info":"number node, value=4386","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=4386, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3913","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=1460, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-55134","layer":3},{"info":"compute binary expreesion, left_input=3913, right_input=-55134, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-354677","layer":2},{"info":"compute unary expreesion, input=-354677, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=708844","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=708844, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↨⩢⫨(↹⩛24052⊬⨰↹⩛12351⩧⪆(↹⩛5233⫳≱↱↹⩛32010)))⊕∕((↹⩛5435≧⫂∧↹⩛32150⪄↹⩛20412⊲⩕⊾↹⩛10432)⇽⩪)=↹⩛0","reverse_text":"↹⩛0=(↨⩢⫨(↹⩛24052⊬⨰↹⩛12351⩧⪆(↹⩛5233⫳≱↱↹⩛32010)))⊕∕((↹⩛5435≧⫂∧↹⩛32150⪄↹⩛20412⊲⩕⊾↹⩛10432)⇽⩪)","cot":[{"info":"↹⩛24052⊬⨰↹⩛12351=↹⩛113500","layer":3},{"info":"↹⩛5233⫳≱↱↹⩛32010=↹⩛-540","layer":3},{"info":"↹⩛113500⩧⪆↹⩛-540=↹⩛540","layer":2},{"info":"↨⩢⫨↹⩛540=↹⩛0","layer":1},{"info":"↹⩛5435≧⫂∧↹⩛32150=↹⩛30041","layer":3},{"info":"↹⩛20412⊲⩕⊾↹⩛10432=↹⩛-1103130","layer":3},{"info":"↹⩛30041⪄↹⩛-1103130=↹⩛-11334005","layer":2},{"info":"↹⩛-11334005⇽⩪=↹⩛23105404","layer":1},{"info":"↹⩛0⊕∕↹⩛23105404=↹⩛0","layer":0}]} +{"id":20,"expression_no_base_symbol":"(($1186$⊨$1693$⨑≵⋬($2641$%$1732$))∛(⨈⪑$1385$⨟⋌⩍$2007$))≹⇙⪍(((⇜$2691$)⩵∡$1039$⪟⇏$3518$)→⨶⪴(($2462$⨘⋶⪀)⇴($2180$⋩≍≻)))","expression":"((↹⩛5254⊨↹⩛11501⨑≵⋬(↹⩛20121%↹⩛12004))∛(⨈⪑↹⩛10225⨟⋌⩍↹⩛13143))≹⇙⪍(((⇜↹⩛20243)⩵∡↹⩛4451⪟⇏↹⩛24142)→⨶⪴((↹⩛15222⨘⋶⪀)⇴(↹⩛14032⋩≍≻)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":612,"operation_count":14,"complexity_ratio":43.714285714285715,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1186,"base":6},"right_expr":{"type":"numeric_atoms","value":1693,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2641,"base":6},"right_expr":{"type":"numeric_atoms","value":1732,"base":6}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1385,"base":6},"right_expr":{"type":"numeric_atoms","value":2007,"base":6}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2691,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1039,"base":6},"right_expr":{"type":"numeric_atoms","value":3518,"base":6}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2462,"base":6}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2180,"base":6}}}}},"used_operators":["AHs5Up7iyr","w2537kitQq","XnXgA4xnOs","vg4gO5BX6G","k8jYdgA6NY","mp94q5OcYM","rGHVDoGpnC","bF6eod5Gvf","Y7wcNGrDQJ","lFBm8KRb8F","GODebY97qR","4JB6nKBMSY","XVKwrhznBb","WYd1w68Nbz"],"dependent_operators":["dWAJyo7jo9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","Tcnh7f0tEr","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","glklzrTFfD","tifHPKVTfV","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","NTOWxs364D","COABgblf1C","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1693, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5775","layer":3},{"info":"number node, value=2641","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=1732, op_id = k8jYdgA6NY binary_op_definition= 'None', output=909","layer":3},{"info":"compute binary expreesion, left_input=5775, right_input=909, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=23891","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=2007, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23891, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-21936","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3518, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-21936, right_input=-1, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=65686","layer":2},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=2180","layer":4},{"info":"compute unary expreesion, input=2180, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=65686, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, 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":6,"result_base":6,"text":"((↹⩛5254⊨↹⩛11501⨑≵⋬(↹⩛20121%↹⩛12004))∛(⨈⪑↹⩛10225⨟⋌⩍↹⩛13143))≹⇙⪍(((⇜↹⩛20243)⩵∡↹⩛4451⪟⇏↹⩛24142)→⨶⪴((↹⩛15222⨘⋶⪀)⇴(↹⩛14032⋩≍≻)))=NaN","reverse_text":"NaN=((↹⩛5254⊨↹⩛11501⨑≵⋬(↹⩛20121%↹⩛12004))∛(⨈⪑↹⩛10225⨟⋌⩍↹⩛13143))≹⇙⪍(((⇜↹⩛20243)⩵∡↹⩛4451⪟⇏↹⩛24142)→⨶⪴((↹⩛15222⨘⋶⪀)⇴(↹⩛14032⋩≍≻)))","cot":[{"info":"↹⩛5254⊨↹⩛11501=↹⩛42423","layer":3},{"info":"↹⩛20121%↹⩛12004=↹⩛4113","layer":3},{"info":"↹⩛42423⨑≵⋬↹⩛4113=↹⩛302335","layer":2},{"info":"↹⩛10225⨟⋌⩍↹⩛13143=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"↹⩛302335∛NaN=↹⩛151","layer":1},{"info":"⇜↹⩛20243=↹⩛-245320","layer":3},{"info":"↹⩛4451⪟⇏↹⩛24142=↹⩛-1","layer":3},{"info":"↹⩛-245320⩵∡↹⩛-1=↹⩛1224034","layer":2},{"info":"↹⩛15222⨘⋶⪀=NaN","layer":3},{"info":"↹⩛14032⋩≍≻=↹⩛-131","layer":3},{"info":"NaN⇴↹⩛-131=NaN","layer":2},{"info":"↹⩛1224034→⨶⪴NaN=NaN","layer":1},{"info":"↹⩛151≹⇙⪍NaN=NaN","layer":0}]} +{"id":21,"expression_no_base_symbol":"(↸⊣($1637$≌$3737$≠≀$1373$⫣⪄⊒$3342$))∌(($4035$⊟⇱)⋾⨃∁$6372$↳∿���$2370$)≌($4442$⊠≄⫣)↤⩊($3426$⪁$4362$)","expression":"(↸⊣(↹⩛11325≌↹⩛25145≠≀↹⩛10205⫣⪄⊒↹⩛23250))∌((↹⩛30403⊟⇱)⋾⨃∁↹⩛45300↳∿⪆↹⩛14550)≌(↹⩛32322⊠≄⫣)↤⩊(↹⩛23510⪁↹⩛32110)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":275600000,"operation_count":12,"complexity_ratio":22966666.666666668,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1637,"base":6},"right_expr":{"type":"numeric_atoms","value":3737,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1373,"base":6},"right_expr":{"type":"numeric_atoms","value":3342,"base":6}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":4035,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6372,"base":6},"right_expr":{"type":"numeric_atoms","value":2370,"base":6}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4442,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3426,"base":6},"right_expr":{"type":"numeric_atoms","value":4362,"base":6}}}}},"used_operators":["8cLx32lpNA","wztAlM01eG","IwW236VD4Y","lyWz822IDG","RabNbG55vr","212REbPD9h","03sUfWo75k","Cw4SuJJGHO","13rbtpv6ld","DIvbN7qnHd","I7sXao9hZE"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=3737, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=3342, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-17818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17818, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":1},{"info":"number node, value=4035","layer":4},{"info":"compute unary expreesion, input=4035, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=8386","layer":3},{"info":"number node, value=6372","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=6372, right_input=2370, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8386, 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":2},{"info":"number node, value=4442","layer":4},{"info":"compute unary expreesion, input=4442, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=4362, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↸⊣(↹⩛11325≌↹⩛25145≠≀↹⩛10205⫣⪄⊒↹⩛23250))∌((↹⩛30403⊟⇱)⋾⨃∁↹⩛45300↳∿⪆↹⩛14550)≌(↹⩛32322⊠≄⫣)↤⩊(↹⩛23510⪁↹⩛32110)=NaN","reverse_text":"NaN=(↸⊣(↹⩛11325≌↹⩛25145≠≀↹⩛10205⫣⪄⊒↹⩛23250))∌((↹⩛30403⊟⇱)⋾⨃∁↹⩛45300↳∿⪆↹⩛14550)≌(↹⩛32322⊠≄⫣)↤⩊(↹⩛23510⪁↹⩛32110)","cot":[{"info":"↹⩛11325≌↹⩛25145=NaN","layer":3},{"info":"↹⩛10205⫣⪄⊒↹⩛23250=↹⩛-214254","layer":3},{"info":"NaN≠≀↹⩛-214254=NaN","layer":2},{"info":"↸⊣NaN=NaN","layer":1},{"info":"↹⩛30403⊟⇱=↹⩛102454","layer":3},{"info":"↹⩛45300↳∿⪆↹⩛14550=NaN","layer":3},{"info":"↹⩛102454⋾⨃∁NaN=NaN","layer":2},{"info":"↹⩛32322⊠≄⫣=↹⩛0","layer":3},{"info":"↹⩛23510⪁↹⩛32110=NaN","layer":3},{"info":"↹⩛0↤⩊NaN=NaN","layer":2},{"info":"NaN≌NaN=NaN","layer":1},{"info":"NaN∌NaN=NaN","layer":0}]} +{"id":22,"expression_no_base_symbol":"((↩$2030$)⊔($1991$⊉≛↸$1078$))⋕⪉⪜($2518$≬⋮$2739$∙∹∝$4826$⫞⩸⩒$8367$)⩍⋽⫝̸(⨴⫝$4850$⊢$2058$⇍⊗(⋎⨆$1274$))","expression":"((↩↹⩛13222)⊔(↹⩛13115⊉≛↸↹⩛4554))⋕⪉⪜(↹⩛15354≬⋮↹⩛20403∙∹∝↹⩛34202⫞⩸⩒↹⩛102423)⩍⋽⫝̸(⨴⫝↹⩛34242⊢↹⩛13310⇍⊗(⋎⨆↹⩛5522))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2432,"operation_count":12,"complexity_ratio":202.66666666666666,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2030,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1991,"base":6},"right_expr":{"type":"numeric_atoms","value":1078,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2518,"base":6},"right_expr":{"type":"numeric_atoms","value":2739,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4826,"base":6},"right_expr":{"type":"numeric_atoms","value":8367,"base":6}}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4850,"base":6},"right_expr":{"type":"numeric_atoms","value":2058,"base":6}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1274,"base":6}}}}},"used_operators":["BiWNJpBvwn","z6LnFrNh4i","E4l6HwMY31","jLgFTUHLKL","DZ8iAZOCBD","HmxsFra2vL","kbkesczE7y","XGcMNugi78","SVb2v531z1","5uvYHDjeKN","5twsqlHp2o","E64sFOc4tB"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"↹⩛140333044","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2030","layer":4},{"info":"compute unary expreesion, input=2030, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13460","layer":3},{"info":"number node, value=1991","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=1078, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3982","layer":3},{"info":"compute binary expreesion, left_input=-13460, right_input=3982, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=64076","layer":2},{"info":"number node, value=2518","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=2739, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4826","layer":4},{"info":"number node, value=8367","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=8367, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=8367","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=8367, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=64076, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=4850","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=4850, right_input=2058, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9944","layer":3},{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9944, right_input=0, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = 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 binary expreesion, left_input=2802, right_input=2828198, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2827252","layer":0}],"base":6,"result_base":6,"text":"((↩↹⩛13222)⊔(↹⩛13115⊉≛↸↹⩛4554))⋕⪉⪜(↹⩛15354≬⋮↹⩛20403∙∹∝↹⩛34202⫞⩸⩒↹⩛102423)⩍⋽⫝̸(⨴⫝↹⩛34242⊢↹⩛13310⇍⊗(⋎⨆↹⩛5522))=↹⩛140333044","reverse_text":"↹⩛140333044=((↩↹⩛13222)⊔(↹⩛13115⊉≛↸↹⩛4554))⋕⪉⪜(↹⩛15354≬⋮↹⩛20403∙∹∝↹⩛34202⫞⩸⩒↹⩛102423)⩍⋽⫝̸(⨴⫝↹⩛34242⊢↹⩛13310⇍⊗(⋎⨆↹⩛5522))","cot":[{"info":"↩↹⩛13222=↹⩛-142152","layer":3},{"info":"↹⩛13115⊉≛↸↹⩛4554=↹⩛30234","layer":3},{"info":"↹⩛-142152⊔↹⩛30234=↹⩛1212352","layer":2},{"info":"↹⩛15354≬⋮↹⩛20403=↹⩛4004","layer":3},{"info":"↹⩛34202⫞⩸⩒↹⩛102423=↹⩛102423","layer":3},{"info":"↹⩛4004∙∹∝↹⩛102423=↹⩛0","layer":2},{"info":"↹⩛1212352⋕⪉⪜↹⩛0=↹⩛20550","layer":1},{"info":"↹⩛34242⊢↹⩛13310=↹⩛-114012","layer":3},{"info":"⋎⨆↹⩛5522=↹⩛0","layer":3},{"info":"↹⩛-114012⇍⊗↹⩛0=↹⩛-1044","layer":2},{"info":"⨴⫝↹⩛-1044=↹⩛140341302","layer":1},{"info":"↹⩛20550⩍⋽⫝̸↹⩛140341302=↹⩛140333044","layer":0}]} +{"id":23,"expression_no_base_symbol":"⊤⊝($1284$↢$8602$⋷$1279$⫔⩽⩺$1417$)⇍⊗($5449$≴⪞⇿$1190$↬⩅∪)","expression":"⊤⊝(↹⩛5540↢↹⩛103454⋷↹⩛5531⫔⩽⩺↹⩛10321)⇍⊗(↹⩛41121≴⪞⇿↹⩛5302↬⩅∪)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5725,"operation_count":7,"complexity_ratio":817.8571428571429,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1284,"base":6},"right_expr":{"type":"numeric_atoms","value":8602,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1279,"base":6},"right_expr":{"type":"numeric_atoms","value":1417,"base":6}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5449,"base":6},"right_expr":{"type":"numeric_atoms","value":1190,"base":6}}}}},"used_operators":["rXAclfmB4M","5uvYHDjeKN","23Mk6UjR3U","WR6HLWljOP","i9eR4S00cU","VJ330n2nnx","lvlrscuwVU"],"dependent_operators":["sdazOOVcIp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Tw270M8GLb","fu6greOZ01","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛-12134","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"number node, value=8602","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=8602, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=800","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1417, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=800, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=5449","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=5449, right_input=1190, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=53582186","layer":3},{"info":"compute unary expreesion, input=53582186, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-160746558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-160746558, 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 = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1786","layer":0}],"base":6,"result_base":6,"text":"⊤⊝(↹⩛5540↢↹⩛103454⋷↹⩛5531⫔⩽⩺↹⩛10321)⇍⊗(↹⩛41121≴⪞⇿↹⩛5302↬⩅∪)=↹⩛-12134","reverse_text":"↹⩛-12134=⊤⊝(↹⩛5540↢↹⩛103454⋷↹⩛5531⫔⩽⩺↹⩛10321)⇍⊗(↹⩛41121≴⪞⇿↹⩛5302↬⩅∪)","cot":[{"info":"↹⩛5540↢↹⩛103454=↹⩛3412","layer":3},{"info":"↹⩛5531⫔⩽⩺↹⩛10321=NaN","layer":3},{"info":"↹⩛3412⋷NaN=NaN","layer":2},{"info":"↹⩛41121≴⪞⇿↹⩛5302=↹⩛5152241402","layer":3},{"info":"↹⩛5152241402↬⩅∪=↹⩛-23541205010","layer":2},{"info":"NaN⇍⊗↹⩛-23541205010=↹⩛-1044","layer":1},{"info":"⊤⊝↹⩛-1044=↹⩛-12134","layer":0}]} +{"id":24,"expression_no_base_symbol":"((↘$1151$)∳⫺(↞≼$1680$)↡⊰⫅($3465$⩢≌)⪛⫼$2169$+⇶⊼$4395$)∛((($1604$≧⫂∧$1510$)↠)⇟⨁⪰)","expression":"((↘↹⩛5155)∳⫺(↞≼↹⩛11440)↡⊰⫅(↹⩛24013⩢≌)⪛⫼↹⩛14013+⇶⊼↹⩛32203)∛(((↹⩛11232≧⫂∧↹⩛10554)↠)⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":478,"operation_count":11,"complexity_ratio":43.45454545454545,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1151,"base":6}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1680,"base":6}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3465,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2169,"base":6},"right_expr":{"type":"numeric_atoms","value":4395,"base":6}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1604,"base":6},"right_expr":{"type":"numeric_atoms","value":1510,"base":6}}}}},"used_operators":["w2537kitQq","VCtxkLNOzz","AzXXKTstlj","LdNpr8hQHL","DE7zCoGJt9","hyuBjUqXlG","D617RFjZIq","TpPTUOHfaN","BX1lVwlMe0","LBdsKIvxzf","Ph9nP6C5qx"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","uFcxV4UQCh","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","hTbEZDJLEm","o20kRiQErp","AHs5Up7iyr","2DDjHMKMc0","xUOZtlo3hN","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=367","layer":3},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=13026","layer":3},{"info":"compute binary expreesion, left_input=367, right_input=13026, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-24522","layer":2},{"info":"number node, value=3465","layer":4},{"info":"compute unary expreesion, input=3465, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=2169","layer":4},{"info":"number node, value=4395","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=4395, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24522, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=1604","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1510, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1037","layer":3},{"info":"compute unary expreesion, input=1037, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=273","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=273, 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":6,"result_base":6,"text":"((↘↹⩛5155)∳⫺(↞≼↹⩛11440)↡⊰⫅(↹⩛24013⩢≌)⪛⫼↹⩛14013+⇶⊼↹⩛32203)∛(((↹⩛11232≧⫂∧↹⩛10554)↠)⇟⨁⪰)=↹⩛151","reverse_text":"↹⩛151=((↘↹⩛5155)∳⫺(↞≼↹⩛11440)↡⊰⫅(↹⩛24013⩢≌)⪛⫼↹⩛14013+⇶⊼↹⩛32203)∛(((↹⩛11232≧⫂∧↹⩛10554)↠)⇟⨁⪰)","cot":[{"info":"↘↹⩛5155=↹⩛1411","layer":3},{"info":"↞≼↹⩛11440=↹⩛140150","layer":3},{"info":"↹⩛1411∳⫺↹⩛140150=↹⩛-305310","layer":2},{"info":"↹⩛24013⩢≌=↹⩛305","layer":3},{"info":"↹⩛14013+⇶⊼↹⩛32203=NaN","layer":3},{"info":"↹⩛305⪛⫼NaN=NaN","layer":2},{"info":"↹⩛-305310↡⊰⫅NaN=NaN","layer":1},{"info":"↹⩛11232≧⫂∧↹⩛10554=↹⩛4445","layer":3},{"info":"↹⩛4445↠=↹⩛-2023","layer":2},{"info":"↹⩛-2023⇟⨁⪰=↹⩛1133","layer":1},{"info":"NaN∛↹⩛1133=↹⩛151","layer":0}]} +{"id":25,"expression_no_base_symbol":"(⨂⪏⇭($6563$≨$4633$⊲⩕⊾($8486$⨭⪣$5424$)))≧⫂∧((↨⩢⫨$1769$⇻⋧≁$1461$)≥⨤⩑(⫎≠⋺($3989$≑≱⪘)))","expression":"(⨂⪏⇭(↹⩛50215≨↹⩛33241⊲⩕⊾(↹⩛103142⨭⪣↹⩛41040)))≧⫂∧((↨⩢⫨↹⩛12105⇻⋧≁↹⩛10433)≥⨤⩑(⫎≠⋺(↹⩛30245≑≱⪘)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2143,"operation_count":10,"complexity_ratio":214.3,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6563,"base":6},"right_expr":{"type":"numeric_atoms","value":4633,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":8486,"base":6},"right_expr":{"type":"numeric_atoms","value":5424,"base":6}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1769,"base":6},"right_expr":{"type":"numeric_atoms","value":1461,"base":6}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":3989,"base":6}}}}},"used_operators":["Ph9nP6C5qx","AYdpE9sXAk","DmTXOeWf9t","0KMCeP1Jsh","kn8WO9XteQ","gJLn6v0xnP","Z5CJsN7DuW","jCPkEVoL5K","LYeZOJ0nQG","tGSeddj7UK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"↹⩛3305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6563","layer":4},{"info":"number node, value=4633","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=4633, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-63154","layer":3},{"info":"number node, value=8486","layer":4},{"info":"number node, value=5424","layer":4},{"info":"compute binary expreesion, left_input=8486, right_input=5424, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=7207","layer":3},{"info":"compute binary expreesion, left_input=-63154, right_input=7207, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-151682","layer":2},{"info":"compute unary expreesion, input=-151682, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-456025","layer":1},{"info":"number node, value=1769","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=1461, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=3989","layer":4},{"info":"compute unary expreesion, input=3989, 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=100079","layer":3},{"info":"compute unary expreesion, input=100079, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-456025, right_input=1234, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=761","layer":0}],"base":6,"result_base":6,"text":"(⨂⪏⇭(↹⩛50215≨↹⩛33241⊲⩕⊾(↹⩛103142⨭⪣↹⩛41040)))≧⫂∧((↨⩢⫨↹⩛12105⇻⋧≁↹⩛10433)≥⨤⩑(⫎≠⋺(↹⩛30245≑≱⪘)))=↹⩛3305","reverse_text":"↹⩛3305=(⨂⪏⇭(↹⩛50215≨↹⩛33241⊲⩕⊾(↹⩛103142⨭⪣↹⩛41040)))≧⫂∧((↨⩢⫨↹⩛12105⇻⋧≁↹⩛10433)≥⨤⩑(⫎≠⋺(↹⩛30245≑≱⪘)))","cot":[{"info":"↹⩛50215≨↹⩛33241=↹⩛-1204214","layer":3},{"info":"↹⩛103142⨭⪣↹⩛41040=↹⩛53211","layer":3},{"info":"↹⩛-1204214⊲⩕⊾↹⩛53211=↹⩛-3130122","layer":2},{"info":"⨂⪏⇭↹⩛-3130122=↹⩛-13435121","layer":1},{"info":"↹⩛12105⇻⋧≁↹⩛10433=↹⩛-2023","layer":3},{"info":"↨⩢⫨↹⩛-2023=↹⩛0","layer":2},{"info":"↹⩛30245≑≱⪘=↹⩛2051155","layer":3},{"info":"⫎≠⋺↹⩛2051155=↹⩛0","layer":2},{"info":"↹⩛0≥⨤⩑↹⩛0=↹⩛5414","layer":1},{"info":"↹⩛-13435121≧⫂∧↹⩛5414=↹⩛3305","layer":0}]} +{"id":26,"expression_no_base_symbol":"(⊆⋠(($1083$∛$1062$)⪥($3249$∛$1267$)))⊚⫡⫭","expression":"(⊆⋠((↹⩛5003∛↹⩛4530)⪥(↹⩛23013∛↹⩛5511)))⊚⫡⫭","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":279,"operation_count":5,"complexity_ratio":55.8,"tree":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1083,"base":6},"right_expr":{"type":"numeric_atoms","value":1062,"base":6}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3249,"base":6},"right_expr":{"type":"numeric_atoms","value":1267,"base":6}}}}},"used_operators":["SpZWOsLKZJ","EBhcHTkKd8","QbnwKVWMIQ","w2537kitQq"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"↹⩛-52320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=1062, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3249","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=3249, right_input=1267, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute unary expreesion, input=-1798, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-7032","layer":0}],"base":6,"result_base":6,"text":"(⊆⋠((↹⩛5003∛↹⩛4530)⪥(↹⩛23013∛↹⩛5511)))⊚⫡⫭=↹⩛-52320","reverse_text":"↹⩛-52320=(⊆⋠((↹⩛5003∛↹⩛4530)⪥(↹⩛23013∛↹⩛5511)))⊚⫡⫭","cot":[{"info":"↹⩛5003∛↹⩛4530=↹⩛151","layer":3},{"info":"↹⩛23013∛↹⩛5511=↹⩛151","layer":3},{"info":"↹⩛151⪥↹⩛151=↹⩛-12154","layer":2},{"info":"⊆⋠↹⩛-12154=↹⩛30231","layer":1},{"info":"↹⩛30231⊚⫡⫭=↹⩛-52320","layer":0}]} +{"id":27,"expression_no_base_symbol":"(($2717$⪥$4239$⪒(⋣$5529$))≎⊠⪸($6746$⇌⫙⪟$6063$⪒$1854$⪛$1895$))⩱","expression":"((↹⩛20325⪥↹⩛31343⪒(⋣↹⩛41333))≎⊠⪸(↹⩛51122⇌⫙⪟↹⩛44023⪒↹⩛12330⪛↹⩛12435))⩱","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":248,"operation_count":8,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2717,"base":6},"right_expr":{"type":"numeric_atoms","value":4239,"base":6}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":5529,"base":6}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":6746,"base":6},"right_expr":{"type":"numeric_atoms","value":6063,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1854,"base":6},"right_expr":{"type":"numeric_atoms","value":1895,"base":6}}}}},"used_operators":["uyq1hVkAcj","bJkvcejdHO","f6k1SAg4EE","QbnwKVWMIQ","zQWRhDnn8F","AFVx7xoS7T","uFcxV4UQCh"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"↹⩛-3004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=4239, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15520","layer":3},{"info":"number node, value=5529","layer":4},{"info":"compute unary expreesion, input=5529, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1625431","layer":3},{"info":"compute binary expreesion, left_input=15520, right_input=-1625431, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1609911","layer":2},{"info":"number node, value=6746","layer":4},{"info":"number node, value=6063","layer":4},{"info":"compute binary expreesion, left_input=6746, right_input=6063, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1895, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1854","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1854, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1967","layer":2},{"info":"compute binary expreesion, left_input=1609911, right_input=-1967, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-652","layer":0}],"base":6,"result_base":6,"text":"((↹⩛20325⪥↹⩛31343⪒(⋣↹⩛41333))≎⊠⪸(↹⩛51122⇌⫙⪟↹⩛44023⪒↹⩛12330⪛↹⩛12435))⩱=↹⩛-3004","reverse_text":"↹⩛-3004=((↹⩛20325⪥↹⩛31343⪒(⋣↹⩛41333))≎⊠⪸(↹⩛51122⇌⫙⪟↹⩛44023⪒↹⩛12330⪛↹⩛12435))⩱","cot":[{"info":"↹⩛20325⪥↹⩛31343=↹⩛155504","layer":3},{"info":"⋣↹⩛41333=↹⩛-54501051","layer":3},{"info":"↹⩛155504⪒↹⩛-54501051=↹⩛54301143","layer":2},{"info":"↹⩛51122⇌⫙⪟↹⩛44023=↹⩛305","layer":3},{"info":"↹⩛12330⪛↹⩛12435=↹⩛12330","layer":3},{"info":"↹⩛305⪒↹⩛12330=↹⩛-13035","layer":2},{"info":"↹⩛54301143≎⊠⪸↹⩛-13035=↹⩛151","layer":1},{"info":"↹⩛151⩱=↹⩛-3004","layer":0}]} +{"id":28,"expression_no_base_symbol":"((→⩰$5696$)⫁$3762$⨑⩅≇$1685$⨪↰⇹(($1252$⇯⋐)⊨$1285$⨑⩅≇$1096$))↹⊜(($1230$≭$1172$⋳⪒($8679$⨳⩥⨓$3997$))⋾⨃∁($2355$⋅⇍$3016$⩢≌))","expression":"((→⩰↹⩛42212)⫁↹⩛25230⨑⩅≇↹⩛11445⨪↰⇹((↹⩛5444⇯⋐)⊨↹⩛5541⨑⩅≇↹⩛5024))↹⊜((↹⩛5410≭↹⩛5232⋳⪒(↹⩛104103⨳⩥⨓↹⩛30301))⋾⨃∁(↹⩛14523⋅⇍↹⩛21544⩢≌))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":43507,"operation_count":14,"complexity_ratio":3107.6428571428573,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":5696,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3762,"base":6},"right_expr":{"type":"numeric_atoms","value":1685,"base":6}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1252,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1285,"base":6},"right_expr":{"type":"numeric_atoms","value":1096,"base":6}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":1172,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8679,"base":6},"right_expr":{"type":"numeric_atoms","value":3997,"base":6}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2355,"base":6},"right_expr":{"type":"numeric_atoms","value":3016,"base":6}}}}},"used_operators":["9bazX3JMtO","tmPS8pqC7x","0ajvFaJAv0","o8Pngz0Tml","h92wMvzauj","vg4gO5BX6G","LkLIoiE525","212REbPD9h","12rbrZMWeM","rxpJgHHUmx","nCS4ZIUYfx","D617RFjZIq","AdZkA7nFnk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","hTbEZDJLEm","o20kRiQErp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"↹⩛-33352000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5696","layer":4},{"info":"compute unary expreesion, input=5696, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=3762","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=1685, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11286, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4634","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=1096, 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=-3855","layer":3},{"info":"compute binary expreesion, left_input=4634, right_input=-3855, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19567","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=19567, 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":1},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1172, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=8679","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=8679, right_input=3997, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4682","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4682, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2355","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=3016, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=126240","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=126240, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1010016","layer":0}],"base":6,"result_base":6,"text":"((→⩰↹⩛42212)⫁↹⩛25230⨑⩅≇↹⩛11445⨪↰⇹((↹⩛5444⇯⋐)⊨↹⩛5541⨑⩅≇↹⩛5024))↹⊜((↹⩛5410≭↹⩛5232⋳⪒(↹⩛104103⨳⩥⨓↹⩛30301))⋾⨃∁(↹⩛14523⋅⇍↹⩛21544⩢≌))=↹⩛-33352000","reverse_text":"↹⩛-33352000=((→⩰↹⩛42212)⫁↹⩛25230⨑⩅≇↹⩛11445⨪↰⇹((↹⩛5444⇯⋐)⊨↹⩛5541⨑⩅≇↹⩛5024))↹⊜((↹⩛5410≭↹⩛5232⋳⪒(↹⩛104103⨳⩥⨓↹⩛30301))⋾⨃∁(↹⩛14523⋅⇍↹⩛21544⩢≌))","cot":[{"info":"→⩰↹⩛42212=NaN","layer":3},{"info":"↹⩛25230⨑⩅≇↹⩛11445=↹⩛-124130","layer":3},{"info":"NaN⫁↹⩛-124130=↹⩛424","layer":2},{"info":"↹⩛5444⇯⋐=↹⩛33242","layer":3},{"info":"↹⩛5541⨑⩅≇↹⩛5024=↹⩛-25503","layer":3},{"info":"↹⩛33242⊨↹⩛-25503=↹⩛230331","layer":2},{"info":"↹⩛424⨪↰⇹↹⩛230331=↹⩛424","layer":1},{"info":"↹⩛5410≭↹⩛5232=NaN","layer":3},{"info":"↹⩛104103⨳⩥⨓↹⩛30301=↹⩛-33402","layer":3},{"info":"NaN⋳⪒↹⩛-33402=NaN","layer":2},{"info":"↹⩛14523⋅⇍↹⩛21544=↹⩛-34","layer":3},{"info":"↹⩛-34⩢≌=↹⩛305","layer":2},{"info":"NaN⋾⨃∁↹⩛305=↹⩛2412240","layer":1},{"info":"↹⩛424↹⊜↹⩛2412240=↹⩛-33352000","layer":0}]} +{"id":29,"expression_no_base_symbol":"(⊵⊁($2812$⊲⩕⊾$5198$))≦↸(⇜⊴$5304$⪎↠$4127$)⫔⩽⩺(∷≠$1969$⨂≜$6122$)⊹∫⫚($2089$⨔≚≋$1526$)⫒⫫$1035$⋣⋖$2117$","expression":"(⊵⊁(↹⩛21004⊲⩕⊾↹⩛40022))≦↸(⇜⊴↹⩛40320⪎↠↹⩛31035)⫔⩽⩺(∷≠↹⩛13041⨂≜↹⩛44202)⊹∫⫚(↹⩛13401⨔≚≋↹⩛11022)⫒⫫↹⩛4443⋣⋖↹⩛13445","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2236,"operation_count":12,"complexity_ratio":186.33333333333334,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2812,"base":6},"right_expr":{"type":"numeric_atoms","value":5198,"base":6}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5304,"base":6},"right_expr":{"type":"numeric_atoms","value":4127,"base":6}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1969,"base":6},"right_expr":{"type":"numeric_atoms","value":6122,"base":6}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2089,"base":6},"right_expr":{"type":"numeric_atoms","value":1526,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1035,"base":6},"right_expr":{"type":"numeric_atoms","value":2117,"base":6}}}}},"used_operators":["i9eR4S00cU","RygbFNSyEJ","AvED76WdY7","DmTXOeWf9t","XwDhCwWbUn","3tVxb0NHM4","uWAJUKEvyW","QiR2Oyf5Xj","k1SHOSEABc","6Ko8hGgeMq","Z57zeUYC9z","J0M6qkBnIM"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","uBihLCJcMX","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","7j4O788W3g","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2812","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=5198, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-93602","layer":3},{"info":"compute unary expreesion, input=-93602, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=5304","layer":4},{"info":"number node, value=4127","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=4127, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=1434","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1434, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-2187","layer":1},{"info":"number node, value=1969","layer":4},{"info":"number node, value=6122","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=6122, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=1526, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=2117, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1035","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=1035, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2187, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊵⊁(↹⩛21004⊲⩕⊾↹⩛40022))≦↸(⇜⊴↹⩛40320⪎↠↹⩛31035)⫔⩽⩺(∷≠↹⩛13041⨂≜↹⩛44202)⊹∫⫚(↹⩛13401⨔≚≋↹⩛11022)⫒⫫↹⩛4443⋣⋖↹⩛13445=NaN","reverse_text":"NaN=(⊵⊁(↹⩛21004⊲⩕⊾↹⩛40022))≦↸(⇜⊴↹⩛40320⪎↠↹⩛31035)⫔⩽⩺(∷≠↹⩛13041⨂≜↹⩛44202)⊹∫⫚(↹⩛13401⨔≚≋↹⩛11022)⫒⫫↹⩛4443⋣⋖↹⩛13445","cot":[{"info":"↹⩛21004⊲⩕⊾↹⩛40022=↹⩛-2001202","layer":3},{"info":"⊵⊁↹⩛-2001202=↹⩛0","layer":2},{"info":"↹⩛40320⪎↠↹⩛31035=↹⩛424","layer":3},{"info":"⇜⊴↹⩛424=↹⩛10350","layer":2},{"info":"↹⩛0≦↸↹⩛10350=↹⩛-14043","layer":1},{"info":"↹⩛13041⨂≜↹⩛44202=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"↹⩛13401⨔≚≋↹⩛11022=↹⩛113412","layer":3},{"info":"↹⩛4443⋣⋖↹⩛13445=↹⩛4443","layer":3},{"info":"↹⩛113412⫒⫫↹⩛4443=NaN","layer":2},{"info":"NaN⊹∫⫚NaN=NaN","layer":1},{"info":"↹⩛-14043⫔⩽⩺NaN=NaN","layer":0}]} +{"id":30,"expression_no_base_symbol":"($1076$∑⇟⊟$4630$≬⋮$2266$⨔⇊$2704$)+⪬∐($3123$∑⇟⊟$3137$)⫁⪎($4418$≃⋄)⨚(($3037$≦↸$2196$)∴($1219$⪚$1293$)⫒⫫($5761$⨓$1464$⫡⨏$2809$⪄$6187$))","expression":"(↹⩛4552∑⇟⊟↹⩛33234≬⋮↹⩛14254⨔⇊↹⩛20304)+⪬∐(↹⩛22243∑⇟⊟↹⩛22305)⫁⪎(↹⩛32242≃⋄)⨚((↹⩛22021≦↸↹⩛14100)∴(↹⩛5351⪚↹⩛5553)⫒⫫(↹⩛42401⨓↹⩛10440⫡⨏↹⩛21001⪄↹⩛44351))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1708,"operation_count":15,"complexity_ratio":113.86666666666666,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1076,"base":6},"right_expr":{"type":"numeric_atoms","value":4630,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2266,"base":6},"right_expr":{"type":"numeric_atoms","value":2704,"base":6}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3123,"base":6},"right_expr":{"type":"numeric_atoms","value":3137,"base":6}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":4418,"base":6}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3037,"base":6},"right_expr":{"type":"numeric_atoms","value":2196,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1219,"base":6},"right_expr":{"type":"numeric_atoms","value":1293,"base":6}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5761,"base":6},"right_expr":{"type":"numeric_atoms","value":1464,"base":6}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2809,"base":6},"right_expr":{"type":"numeric_atoms","value":6187,"base":6}}}}},"used_operators":["nREPSIbpBE","2GS7woTJqF","kbkesczE7y","U7g4x0WXJJ","JclMnS0uGI","xRrnTEsQ6j","aN9a90urxU","6Ko8hGgeMq","hrf7POJlIJ","RygbFNSyEJ","HrjLwUk87U","QMFrweE19q","3ViojmjbAp","SUmda5xLS4"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","uFcxV4UQCh","jLgFTUHLKL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"↹⩛-422341002","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=4630, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2266","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=2704, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2704, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3123","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=3137, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4418","layer":4},{"info":"compute unary expreesion, input=4418, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=764, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-2604","layer":1},{"info":"number node, value=3037","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=2196, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9785","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1293, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-504","layer":3},{"info":"compute binary expreesion, left_input=-9785, right_input=-504, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-17922","layer":2},{"info":"number node, value=5761","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=5761, right_input=1464, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1467","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=6187","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=6187, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-436569","layer":3},{"info":"compute binary expreesion, left_input=-1467, right_input=-436569, 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=-879690","layer":2},{"info":"compute binary expreesion, left_input=-17922, right_input=-879690, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=1849026","layer":1},{"info":"compute binary expreesion, left_input=-2604, right_input=1849026, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7400378","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4552∑⇟⊟↹⩛33234≬⋮↹⩛14254⨔⇊↹⩛20304)+⪬∐(↹⩛22243∑⇟⊟↹⩛22305)⫁⪎(↹⩛32242≃⋄)⨚((↹⩛22021≦↸↹⩛14100)∴(↹⩛5351⪚↹⩛5553)⫒⫫(↹⩛42401⨓↹⩛10440⫡⨏↹⩛21001⪄↹⩛44351))=↹⩛-422341002","reverse_text":"↹⩛-422341002=(↹⩛4552∑⇟⊟↹⩛33234≬⋮↹⩛14254⨔⇊↹⩛20304)+⪬∐(↹⩛22243∑⇟⊟↹⩛22305)⫁⪎(↹⩛32242≃⋄)⨚((↹⩛22021≦↸↹⩛14100)∴(↹⩛5351⪚↹⩛5553)⫒⫫(↹⩛42401⨓↹⩛10440⫡⨏↹⩛21001⪄↹⩛44351))","cot":[{"info":"↹⩛4552∑⇟⊟↹⩛33234=NaN","layer":3},{"info":"↹⩛14254⨔⇊↹⩛20304=↹⩛20304","layer":3},{"info":"NaN≬⋮↹⩛20304=↹⩛4004","layer":2},{"info":"↹⩛22243∑⇟⊟↹⩛22305=NaN","layer":3},{"info":"↹⩛32242≃⋄=↹⩛3312","layer":3},{"info":"NaN⫁⪎↹⩛3312=NaN","layer":2},{"info":"↹⩛4004+⪬∐NaN=↹⩛-20020","layer":1},{"info":"↹⩛22021≦↸↹⩛14100=↹⩛-113145","layer":3},{"info":"↹⩛5351⪚↹⩛5553=↹⩛-2200","layer":3},{"info":"↹⩛-113145∴↹⩛-2200=↹⩛-214550","layer":2},{"info":"↹⩛42401⨓↹⩛10440=↹⩛-10443","layer":3},{"info":"↹⩛21001⪄↹⩛44351=↹⩛-13205053","layer":3},{"info":"↹⩛-10443⫡⨏↹⩛-13205053=↹⩛-30504350","layer":2},{"info":"↹⩛-214550⫒⫫↹⩛-30504350=↹⩛103344150","layer":1},{"info":"↹⩛-20020⨚↹⩛103344150=↹⩛-422341002","layer":0}]} +{"id":31,"expression_no_base_symbol":"($2941$⫣⪄⊒$1066$⊾⪯⋞$1808$⋾⨃∁$5993$⫃⨇(⊆⋠$3316$↳≱$2521$))⇤($2249$∝$1096$⫌⩉⩟$1619$*$6175$)⇻⋧≁((⊙↵-$1558$)⫠)","expression":"(↹⩛21341⫣⪄⊒↹⩛4534⊾⪯⋞↹⩛12212⋾⨃∁↹⩛43425⫃⨇(⊆⋠↹⩛23204↳≱↹⩛15401))⇤(↹⩛14225∝↹⩛5024⫌⩉⩟↹⩛11255*↹⩛44331)⇻⋧≁((⊙↵-↹⩛11114)⫠)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20003883,"operation_count":13,"complexity_ratio":1538760.2307692308,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2941,"base":6},"right_expr":{"type":"numeric_atoms","value":1066,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1808,"base":6},"right_expr":{"type":"numeric_atoms","value":5993,"base":6}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3316,"base":6},"right_expr":{"type":"numeric_atoms","value":2521,"base":6}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2249,"base":6},"right_expr":{"type":"numeric_atoms","value":1096,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1619,"base":6},"right_expr":{"type":"numeric_atoms","value":6175,"base":6}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1558,"base":6}}}}},"used_operators":["YSKBFp38Pu","09Ly4LVMIf","HK0tfVPux8","RabNbG55vr","212REbPD9h","EBhcHTkKd8","JwTKLfZU96","jCPkEVoL5K","XIIwhv8d0m","cTDWOvIxvz","9HNa5Wba9A","6SnOT2rOjz","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2941","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=2941, right_input=1066, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1026","layer":3},{"info":"number node, value=1808","layer":4},{"info":"number node, value=5993","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=5993, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=359088480","layer":3},{"info":"compute binary expreesion, left_input=-1026, right_input=359088480, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=3316","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2521, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=348, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=2249","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=1096, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2254","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=6175","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=6175, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9997325","layer":3},{"info":"compute binary expreesion, left_input=2254, right_input=9997325, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1558","layer":4},{"info":"compute unary expreesion, input=1558, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21341⫣⪄⊒↹⩛4534⊾⪯⋞↹⩛12212⋾⨃∁↹⩛43425⫃⨇(⊆⋠↹⩛23204↳≱↹⩛15401))⇤(↹⩛14225∝↹⩛5024⫌⩉⩟↹⩛11255*↹⩛44331)⇻⋧≁((⊙↵-↹⩛11114)⫠)=NaN","reverse_text":"NaN=(↹⩛21341⫣⪄⊒↹⩛4534⊾⪯⋞↹⩛12212⋾⨃∁↹⩛43425⫃⨇(⊆⋠↹⩛23204↳≱↹⩛15401))⇤(↹⩛14225∝↹⩛5024⫌⩉⩟↹⩛11255*↹⩛44331)⇻⋧≁((⊙↵-↹⩛11114)⫠)","cot":[{"info":"↹⩛21341⫣⪄⊒↹⩛4534=↹⩛-4430","layer":3},{"info":"↹⩛12212⋾⨃∁↹⩛43425=↹⩛55344302400","layer":3},{"info":"↹⩛-4430⊾⪯⋞↹⩛55344302400=NaN","layer":2},{"info":"↹⩛23204↳≱↹⩛15401=↹⩛0","layer":3},{"info":"⊆⋠↹⩛0=↹⩛1340","layer":2},{"info":"NaN⫃⨇↹⩛1340=NaN","layer":1},{"info":"↹⩛14225∝↹⩛5024=↹⩛14234","layer":3},{"info":"↹⩛11255*↹⩛44331=↹⩛554135525","layer":3},{"info":"↹⩛14234⫌⩉⩟↹⩛554135525=↹⩛-122","layer":2},{"info":"⊙↵-↹⩛11114=↹⩛-1","layer":3},{"info":"↹⩛-1⫠=↹⩛0","layer":2},{"info":"↹⩛-122⇻⋧≁↹⩛0=↹⩛-2023","layer":1},{"info":"NaN⇤↹⩛-2023=NaN","layer":0}]} +{"id":32,"expression_no_base_symbol":"(($5860$∌$2427$⇆⨓≜)⋳⪒(⇾⩊⇾$4618$⪬$6922$))∇⊂⋱(($1127$⩚⊴⇥$2347$)⇗⋫)⫘(($1565$⨶)↑)","expression":"((↹⩛43044∌↹⩛15123⇆⨓≜)⋳⪒(⇾⩊⇾↹⩛33214⪬↹⩛52014))∇⊂⋱((↹⩛5115⩚⊴⇥↹⩛14511)⇗⋫)⫘((↹⩛11125⨶)↑)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":852,"operation_count":11,"complexity_ratio":77.45454545454545,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5860,"base":6},"right_expr":{"type":"numeric_atoms","value":2427,"base":6}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4618,"base":6},"right_expr":{"type":"numeric_atoms","value":6922,"base":6}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1127,"base":6},"right_expr":{"type":"numeric_atoms","value":2347,"base":6}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1565,"base":6}}}}},"used_operators":["nhYeJWJD5X","12rbrZMWeM","KvvgdUaMHJ","8cLx32lpNA","bx9Z9DAK5y","Ez1Nq5fNfI","48vC8HMD2b","hpqmaQFPrd","NTOWxs364D","BThhyOhh10","rFxw8gIMmB"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rxpJgHHUmx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","f6k1SAg4EE","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5860","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=5860, right_input=2427, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2427","layer":3},{"info":"compute unary expreesion, input=-2427, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=4618","layer":4},{"info":"number node, value=6922","layer":4},{"info":"compute binary expreesion, left_input=4618, right_input=6922, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-17592","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17592, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=2347, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3595","layer":3},{"info":"compute unary expreesion, input=-3595, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1384","layer":3},{"info":"compute unary expreesion, input=1384, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛43044∌↹⩛15123⇆⨓≜)⋳⪒(⇾⩊⇾↹⩛33214⪬↹⩛52014))∇⊂⋱((↹⩛5115⩚⊴⇥↹⩛14511)⇗⋫)⫘((↹⩛11125⨶)↑)=NaN","reverse_text":"NaN=((↹⩛43044∌↹⩛15123⇆⨓≜)⋳⪒(⇾⩊⇾↹⩛33214⪬↹⩛52014))∇⊂⋱((↹⩛5115⩚⊴⇥↹⩛14511)⇗⋫)⫘((↹⩛11125⨶)↑)","cot":[{"info":"↹⩛43044∌↹⩛15123=↹⩛-15123","layer":3},{"info":"↹⩛-15123⇆⨓≜=NaN","layer":2},{"info":"↹⩛33214⪬↹⩛52014=↹⩛5414","layer":3},{"info":"⇾⩊⇾↹⩛5414=↹⩛-213240","layer":2},{"info":"NaN⋳⪒↹⩛-213240=NaN","layer":1},{"info":"↹⩛5115⩚⊴⇥↹⩛14511=↹⩛-24351","layer":3},{"info":"↹⩛-24351⇗⋫=NaN","layer":2},{"info":"↹⩛11125⨶=↹⩛10224","layer":3},{"info":"↹⩛10224↑=↹⩛1010","layer":2},{"info":"NaN⫘↹⩛1010=NaN","layer":1},{"info":"NaN∇⊂⋱NaN=NaN","layer":0}]} +{"id":33,"expression_no_base_symbol":"(≑⋹(($4256$⫒⫫$4555$)⨔⇊($1573$⋷$9006$)))⨪↰⇹($1916$⨐⩸⫘$2876$*(∓⪦$1096$)∐⫣)","expression":"(≑⋹((↹⩛31412⫒⫫↹⩛33031)⨔⇊(↹⩛11141⋷↹⩛105410)))⨪↰⇹(↹⩛12512⨐⩸⫘↹⩛21152*(∓⪦↹⩛5024)∐⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1802,"operation_count":9,"complexity_ratio":200.22222222222223,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4256,"base":6},"right_expr":{"type":"numeric_atoms","value":4555,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1573,"base":6},"right_expr":{"type":"numeric_atoms","value":9006,"base":6}}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1916,"base":6},"right_expr":{"type":"numeric_atoms","value":2876,"base":6}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1096,"base":6}}}}},"used_operators":["tmPS8pqC7x","6B9nyZLogK","JclMnS0uGI","6Ko8hGgeMq","23Mk6UjR3U","4CyGpkTkEk","9HNa5Wba9A","fu6greOZ01","D309nIvmXG"],"dependent_operators":["rJVOvQCfKK","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","W4YGzv6Whe","3ViojmjbAp","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"↹⩛11350","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4256","layer":4},{"info":"number node, value=4555","layer":4},{"info":"compute binary expreesion, left_input=4256, right_input=4555, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=9006","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=9006, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16439","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16439, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=16439","layer":2},{"info":"compute unary expreesion, input=16439, 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=1916","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=2876, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=688","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=688, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1650","layer":0}],"base":6,"result_base":6,"text":"(≑⋹((↹⩛31412⫒⫫↹⩛33031)⨔⇊(↹⩛11141⋷↹⩛105410)))⨪↰⇹(↹⩛12512⨐⩸⫘↹⩛21152*(∓⪦↹⩛5024)∐⫣)=↹⩛11350","reverse_text":"↹⩛11350=(≑⋹((↹⩛31412⫒⫫↹⩛33031)⨔⇊(↹⩛11141⋷↹⩛105410)))⨪↰⇹(↹⩛12512⨐⩸⫘↹⩛21152*(∓⪦↹⩛5024)∐⫣)","cot":[{"info":"↹⩛31412⫒⫫↹⩛33031=NaN","layer":3},{"info":"↹⩛11141⋷↹⩛105410=↹⩛204035","layer":3},{"info":"NaN⨔⇊↹⩛204035=↹⩛204035","layer":2},{"info":"≑⋹↹⩛204035=↹⩛11350","layer":1},{"info":"↹⩛12512⨐⩸⫘↹⩛21152=NaN","layer":3},{"info":"∓⪦↹⩛5024=↹⩛3104","layer":3},{"info":"NaN*↹⩛3104=NaN","layer":2},{"info":"NaN∐⫣=NaN","layer":1},{"info":"↹⩛11350⨪↰⇹NaN=↹⩛11350","layer":0}]} +{"id":34,"expression_no_base_symbol":"($1190$⋝⋈⪟$4900$⨵⪆($6051$⫻⋑⊟))⫲≸⪮(⊑(⊖$6465$))⊭↱(⋃((⇁⨣⪵$2634$)↪⪝))","expression":"(↹⩛5302⋝⋈⪟↹⩛34404⨵⪆(↹⩛44003⫻⋑⊟))⫲≸⪮(⊑(⊖↹⩛45533))⊭↱(⋃((⇁⨣⪵↹⩛20110)↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":618,"operation_count":10,"complexity_ratio":61.8,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1190,"base":6},"right_expr":{"type":"numeric_atoms","value":4900,"base":6}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":6051,"base":6}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":6465,"base":6}}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2634,"base":6}}}}},"used_operators":["COABgblf1C","P3lXMJvFrc","2DQ55sFlQl","2DDjHMKMc0","o575Zjdmzy","IkUmn0D7oy","U6pG0PXrV3","3mBM5G4a3l","l07mrZUIn9","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","g55IO6H4Gj","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"number node, value=4900","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=4900, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1190","layer":3},{"info":"number node, value=6051","layer":4},{"info":"compute unary expreesion, input=6051, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-11592","layer":3},{"info":"compute binary expreesion, left_input=1190, right_input=-11592, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6465","layer":4},{"info":"compute unary expreesion, input=6465, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=192, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=160","layer":1},{"info":"number node, value=2634","layer":4},{"info":"compute unary expreesion, input=2634, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5302⋝⋈⪟↹⩛34404⨵⪆(↹⩛44003⫻⋑⊟))⫲≸⪮(⊑(⊖↹⩛45533))⊭↱(⋃((⇁⨣⪵↹⩛20110)↪⪝))=NaN","reverse_text":"NaN=(↹⩛5302⋝⋈⪟↹⩛34404⨵⪆(↹⩛44003⫻⋑⊟))⫲≸⪮(⊑(⊖↹⩛45533))⊭↱(⋃((⇁⨣⪵↹⩛20110)↪⪝))","cot":[{"info":"↹⩛5302⋝⋈⪟↹⩛34404=↹⩛5302","layer":3},{"info":"↹⩛44003⫻⋑⊟=↹⩛-125400","layer":3},{"info":"↹⩛5302⨵⪆↹⩛-125400=↹⩛424","layer":2},{"info":"⊖↹⩛45533=↹⩛0","layer":3},{"info":"⊑↹⩛0=↹⩛520","layer":2},{"info":"↹⩛424⫲≸⪮↹⩛520=↹⩛424","layer":1},{"info":"⇁⨣⪵↹⩛20110=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⋃NaN=NaN","layer":1},{"info":"↹⩛424⊭↱NaN=NaN","layer":0}]} +{"id":35,"expression_no_base_symbol":"($1003$⊚⫡⫭)⫰⋱$3678$≒∊$1169$⫸⊐((↥$6654$)⫑)⋷($1313$≑≱⪘)+⪬∐($4432$↠)∝(∐⩳⋚$2051$)≴⪞⇿($2071$⊭↱$1081$)","expression":"(↹⩛4351⊚⫡⫭)⫰⋱↹⩛25010≒∊↹⩛5225⫸⊐((↥↹⩛50450)⫑)⋷(↹⩛10025≑≱⪘)+⪬∐(↹⩛32304↠)∝(∐⩳⋚↹⩛13255)≴⪞⇿(↹⩛13331⊭↱↹⩛5001)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":291705,"operation_count":14,"complexity_ratio":20836.071428571428,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1003,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3678,"base":6},"right_expr":{"type":"numeric_atoms","value":1169,"base":6}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6654,"base":6}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1313,"base":6}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":4432,"base":6}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2051,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2071,"base":6},"right_expr":{"type":"numeric_atoms","value":1081,"base":6}}}}},"used_operators":["23Mk6UjR3U","mqXw5SEYmG","6o9Blt3TJ6","SpZWOsLKZJ","5KTvxBwnZo","CgIo77xlM2","A8NUZmVepG","cTDWOvIxvz","2GS7woTJqF","tGSeddj7UK","LBdsKIvxzf","lvlrscuwVU","SL6IHkK8vl","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","k8jYdgA6NY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1080","layer":3},{"info":"number node, value=3678","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=3678, right_input=1169, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3194","layer":3},{"info":"compute binary expreesion, left_input=-1080, right_input=-3194, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4341","layer":2},{"info":"number node, value=6654","layer":4},{"info":"compute unary expreesion, input=6654, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":3},{"info":"compute unary expreesion, input=24, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=4341, right_input=3979, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15791","layer":1},{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, 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=30503","layer":3},{"info":"number node, value=4432","layer":4},{"info":"compute unary expreesion, input=4432, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=30503, right_input=-447, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-91509","layer":2},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=291318","layer":3},{"info":"number node, value=2071","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=2071, right_input=1081, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1975","layer":3},{"info":"compute binary expreesion, left_input=291318, right_input=-1975, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-91509, right_input=inf, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15791, 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":6,"result_base":6,"text":"(↹⩛4351⊚⫡⫭)⫰⋱↹⩛25010≒∊↹⩛5225⫸⊐((↥↹⩛50450)⫑)⋷(↹⩛10025≑≱⪘)+⪬∐(↹⩛32304↠)∝(∐⩳⋚↹⩛13255)≴⪞⇿(↹⩛13331⊭↱↹⩛5001)=NaN","reverse_text":"NaN=(↹⩛4351⊚⫡⫭)⫰⋱↹⩛25010≒∊↹⩛5225⫸⊐((↥↹⩛50450)⫑)⋷(↹⩛10025≑≱⪘)+⪬∐(↹⩛32304↠)∝(∐⩳⋚↹⩛13255)≴⪞⇿(↹⩛13331⊭↱↹⩛5001)","cot":[{"info":"↹⩛4351⊚⫡⫭=↹⩛-5000","layer":3},{"info":"↹⩛25010≒∊↹⩛5225=↹⩛-22442","layer":3},{"info":"↹⩛-5000⫰⋱↹⩛-22442=↹⩛32033","layer":2},{"info":"↥↹⩛50450=↹⩛40","layer":3},{"info":"↹⩛40⫑=↹⩛30231","layer":2},{"info":"↹⩛32033⫸⊐↹⩛30231=↹⩛201035","layer":1},{"info":"↹⩛10025≑≱⪘=↹⩛353115","layer":3},{"info":"↹⩛32304↠=↹⩛-2023","layer":3},{"info":"↹⩛353115+⪬∐↹⩛-2023=↹⩛-1543353","layer":2},{"info":"∐⩳⋚↹⩛13255=↹⩛10124410","layer":3},{"info":"↹⩛13331⊭↱↹⩛5001=↹⩛-13051","layer":3},{"info":"↹⩛10124410≴⪞⇿↹⩛-13051=Inf","layer":2},{"info":"↹⩛-1543353∝Inf=NaN","layer":1},{"info":"↹⩛201035⋷NaN=NaN","layer":0}]} +{"id":36,"expression_no_base_symbol":"(⊽($2245$⊾⪯⋞$2302$⫔⩽⩺($1090$⋩≍≻)))+⇶⊼($3808$∴$1376$⫲≸⪮$4380$≌$2085$%$2547$↙$1263$⋻⩜⩜$5776$⨔⇊$8055$)","expression":"(⊽(↹⩛14221⊾⪯⋞↹⩛14354⫔⩽⩺(↹⩛5014⋩≍≻)))+⇶⊼(↹⩛25344∴↹⩛10212⫲≸⪮↹⩛32140≌↹⩛13353%↹⩛15443↙↹⩛5503⋻⩜⩜↹⩛42424⨔⇊↹⩛101143)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17188,"operation_count":12,"complexity_ratio":1432.3333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2245,"base":6},"right_expr":{"type":"numeric_atoms","value":2302,"base":6}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1090,"base":6}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3808,"base":6},"right_expr":{"type":"numeric_atoms","value":1376,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4380,"base":6},"right_expr":{"type":"numeric_atoms","value":2085,"base":6}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2547,"base":6},"right_expr":{"type":"numeric_atoms","value":1263,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5776,"base":6},"right_expr":{"type":"numeric_atoms","value":8055,"base":6}}}}},"used_operators":["TpPTUOHfaN","QxG7OkqoLX","i9eR4S00cU","HK0tfVPux8","WYd1w68Nbz","k8jYdgA6NY","P3lXMJvFrc","hrf7POJlIJ","lyWz822IDG","oDCm7WA9JY","yyfyN0ffXY","JclMnS0uGI"],"dependent_operators":["AHs5Up7iyr","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Tw270M8GLb","fu6greOZ01","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2245","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=2302, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4178","layer":3},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=4178, right_input=-55, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"number node, value=3808","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=1376, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9264","layer":3},{"info":"number node, value=4380","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=4380, right_input=2085, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9264, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=9264","layer":2},{"info":"number node, value=2547","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1263, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3789","layer":3},{"info":"number node, value=5776","layer":4},{"info":"number node, value=8055","layer":4},{"info":"compute binary expreesion, left_input=5776, right_input=8055, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=8055","layer":3},{"info":"compute binary expreesion, left_input=-3789, right_input=8055, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=17080","layer":2},{"info":"compute binary expreesion, left_input=9264, right_input=17080, op_id = k8jYdgA6NY binary_op_definition= 'None', output=9264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9264, 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":6,"result_base":6,"text":"(⊽(↹⩛14221⊾⪯⋞↹⩛14354⫔⩽⩺(↹⩛5014⋩≍≻)))+⇶⊼(↹⩛25344∴↹⩛10212⫲≸⪮↹⩛32140≌↹⩛13353%↹⩛15443↙↹⩛5503⋻⩜⩜↹⩛42424⨔⇊↹⩛101143)=NaN","reverse_text":"NaN=(⊽(↹⩛14221⊾⪯⋞↹⩛14354⫔⩽⩺(↹⩛5014⋩≍≻)))+⇶⊼(↹⩛25344∴↹⩛10212⫲≸⪮↹⩛32140≌↹⩛13353%↹⩛15443↙↹⩛5503⋻⩜⩜↹⩛42424⨔⇊↹⩛101143)","cot":[{"info":"↹⩛14221⊾⪯⋞↹⩛14354=↹⩛31202","layer":3},{"info":"↹⩛5014⋩≍≻=↹⩛-131","layer":3},{"info":"↹⩛31202⫔⩽⩺↹⩛-131=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"↹⩛25344∴↹⩛10212=↹⩛110520","layer":3},{"info":"↹⩛32140≌↹⩛13353=NaN","layer":3},{"info":"↹⩛110520⫲≸⪮NaN=↹⩛110520","layer":2},{"info":"↹⩛15443↙↹⩛5503=↹⩛-25313","layer":3},{"info":"↹⩛42424⨔⇊↹⩛101143=↹⩛101143","layer":3},{"info":"↹⩛-25313⋻⩜⩜↹⩛101143=↹⩛211024","layer":2},{"info":"↹⩛110520%↹⩛211024=↹⩛110520","layer":1},{"info":"NaN+⇶⊼↹⩛110520=NaN","layer":0}]} +{"id":37,"expression_no_base_symbol":"↑(($1861$⫯⪬∳$1465$≥⨤⩑$7599$⪨⊡$1189$)∧)","expression":"↑((↹⩛12341⫯⪬∳↹⩛10441≥⨤⩑↹⩛55103⪨⊡↹⩛5301)∧)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":82,"operation_count":5,"complexity_ratio":16.4,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1861,"base":6},"right_expr":{"type":"numeric_atoms","value":1465,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7599,"base":6},"right_expr":{"type":"numeric_atoms","value":1189,"base":6}}}}},"used_operators":["tR7O2zTn5j","z63VuFQld9","gJLn6v0xnP","d7ASUq0ydm","kuIXHzHcAH"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1861","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1465, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7873","layer":3},{"info":"number node, value=7599","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=7599, right_input=1189, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7873, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↑((↹⩛12341⫯⪬∳↹⩛10441≥⨤⩑↹⩛55103⪨⊡↹⩛5301)∧)=NaN","reverse_text":"NaN=↑((↹⩛12341⫯⪬∳↹⩛10441≥⨤⩑↹⩛55103⪨⊡↹⩛5301)∧)","cot":[{"info":"↹⩛12341⫯⪬∳↹⩛10441=↹⩛100241","layer":3},{"info":"↹⩛55103⪨⊡↹⩛5301=↹⩛0","layer":3},{"info":"↹⩛100241≥⨤⩑↹⩛0=↹⩛5414","layer":2},{"info":"↹⩛5414∧=NaN","layer":1},{"info":"↑NaN=NaN","layer":0}]} +{"id":38,"expression_no_base_symbol":"((↞≼$2269$)≁($4165$-$1556$)↢(($3647$⨔≚≋$1780$)⪡($1118$≥⨤⩑$5326$)))⫑%∭","expression":"((↞≼↹⩛14301)≁(↹⩛31141-↹⩛11112)↢((↹⩛24515⨔≚≋↹⩛12124)⪡(↹⩛5102≥⨤⩑↹⩛40354)))⫑%∭","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1139,"operation_count":8,"complexity_ratio":142.375,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2269,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4165,"base":6},"right_expr":{"type":"numeric_atoms","value":1556,"base":6}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3647,"base":6},"right_expr":{"type":"numeric_atoms","value":1780,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1118,"base":6},"right_expr":{"type":"numeric_atoms","value":5326,"base":6}}}}},"used_operators":["xUx7qlDO4z","WR6HLWljOP","8N2wDY1A35","DE7zCoGJt9","rysDP5nf3Z","oraRL2iQuh","Z57zeUYC9z","gJLn6v0xnP"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2269","layer":4},{"info":"compute unary expreesion, input=2269, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=17738","layer":3},{"info":"number node, value=4165","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=4165, right_input=1556, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2609","layer":3},{"info":"compute binary expreesion, left_input=17738, right_input=2609, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=49415","layer":2},{"info":"number node, value=3647","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=1780, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=5326","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=5326, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=1234, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=49415, right_input=107, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=48931","layer":1},{"info":"compute unary expreesion, input=48931, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↞≼↹⩛14301)≁(↹⩛31141-↹⩛11112)↢((↹⩛24515⨔≚≋↹⩛12124)⪡(↹⩛5102≥⨤⩑↹⩛40354)))⫑%∭=NaN","reverse_text":"NaN=((↞≼↹⩛14301)≁(↹⩛31141-↹⩛11112)↢((↹⩛24515⨔≚≋↹⩛12124)⪡(↹⩛5102≥⨤⩑↹⩛40354)))⫑%∭","cot":[{"info":"↞≼↹⩛14301=↹⩛214042","layer":3},{"info":"↹⩛31141-↹⩛11112=↹⩛20025","layer":3},{"info":"↹⩛214042≁↹⩛20025=↹⩛1020435","layer":2},{"info":"↹⩛24515⨔≚≋↹⩛12124=↹⩛113412","layer":3},{"info":"↹⩛5102≥⨤⩑↹⩛40354=↹⩛5414","layer":3},{"info":"↹⩛113412⪡↹⩛5414=↹⩛255","layer":2},{"info":"↹⩛1020435↢↹⩛255=↹⩛1014311","layer":1},{"info":"↹⩛1014311⫑%∭=NaN","layer":0}]} +{"id":39,"expression_no_base_symbol":"($3366$∊∟⩊$5339$⊱⇼⊻($7344$⪚$1387$)∙∹∝($1417$⋝⋈⪟$1858$⫦⪉(↸⊣$2984$)))≌(($3491$→⨶⪴$1880$)≌($1526$⪘⫢$1885$)⫯⪬∳($5371$⫯⪬∳$1036$⩵∡$6658$↳∿⪆$1164$))","expression":"(↹⩛23330∊∟⩊↹⩛40415⊱⇼⊻(↹⩛54000⪚↹⩛10231)∙∹∝(↹⩛10321⋝⋈⪟↹⩛12334⫦⪉(↸⊣↹⩛21452)))≌((↹⩛24055→⨶⪴↹⩛12412)≌(↹⩛11022⪘⫢↹⩛12421)⫯⪬∳(↹⩛40511⫯⪬∳↹⩛4444⩵∡↹⩛50454↳∿⪆↹⩛5220))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5657,"operation_count":15,"complexity_ratio":377.1333333333333,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3366,"base":6},"right_expr":{"type":"numeric_atoms","value":5339,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":7344,"base":6},"right_expr":{"type":"numeric_atoms","value":1387,"base":6}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1417,"base":6},"right_expr":{"type":"numeric_atoms","value":1858,"base":6}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2984,"base":6}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3491,"base":6},"right_expr":{"type":"numeric_atoms","value":1880,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1526,"base":6},"right_expr":{"type":"numeric_atoms","value":1885,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":5371,"base":6},"right_expr":{"type":"numeric_atoms","value":1036,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6658,"base":6},"right_expr":{"type":"numeric_atoms","value":1164,"base":6}}}}},"used_operators":["lyWz822IDG","HmxsFra2vL","FyVja0WsTP","ddLRYrp01A","HrjLwUk87U","wscyQdcy20","2DDjHMKMc0","wztAlM01eG","d7ASUq0ydm","bF6eod5Gvf","oacrs7FA3X","Y7wcNGrDQJ","Cw4SuJJGHO"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","8w2t5hMYqp","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3366","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=5339, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5339","layer":3},{"info":"number node, value=7344","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=7344, right_input=1387, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=11558","layer":3},{"info":"compute binary expreesion, left_input=5339, right_input=11558, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"number node, value=1417","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=1858, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1417","layer":3},{"info":"number node, value=2984","layer":4},{"info":"compute unary expreesion, input=2984, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2697","layer":3},{"info":"compute binary expreesion, left_input=1417, right_input=-2697, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2066","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=2066, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=3491","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=3491, right_input=1880, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5640","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1885, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2928","layer":3},{"info":"compute binary expreesion, left_input=-5640, right_input=2928, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=5371","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=1036, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=25852","layer":3},{"info":"number node, value=6658","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=6658, right_input=1164, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=25852, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23330∊∟⩊↹⩛40415⊱⇼⊻(↹⩛54000⪚↹⩛10231)∙∹∝(↹⩛10321⋝⋈⪟↹⩛12334⫦⪉(↸⊣↹⩛21452)))≌((↹⩛24055→⨶⪴↹⩛12412)≌(↹⩛11022⪘⫢↹⩛12421)⫯⪬∳(↹⩛40511⫯⪬∳↹⩛4444⩵∡↹⩛50454↳∿⪆↹⩛5220))=NaN","reverse_text":"NaN=(↹⩛23330∊∟⩊↹⩛40415⊱⇼⊻(↹⩛54000⪚↹⩛10231)∙∹∝(↹⩛10321⋝⋈⪟↹⩛12334⫦⪉(↸⊣↹⩛21452)))≌((↹⩛24055→⨶⪴↹⩛12412)≌(↹⩛11022⪘⫢↹⩛12421)⫯⪬∳(↹⩛40511⫯⪬∳↹⩛4444⩵∡↹⩛50454↳∿⪆↹⩛5220))","cot":[{"info":"↹⩛23330∊∟⩊↹⩛40415=↹⩛40415","layer":3},{"info":"↹⩛54000⪚↹⩛10231=↹⩛125302","layer":3},{"info":"↹⩛40415⊱⇼⊻↹⩛125302=↹⩛2002","layer":2},{"info":"↹⩛10321⋝⋈⪟↹⩛12334=↹⩛10321","layer":3},{"info":"↸⊣↹⩛21452=↹⩛-20253","layer":3},{"info":"↹⩛10321⫦⪉↹⩛-20253=↹⩛13322","layer":2},{"info":"↹⩛2002∙∹∝↹⩛13322=↹⩛0","layer":1},{"info":"↹⩛24055→⨶⪴↹⩛12412=↹⩛-42040","layer":3},{"info":"↹⩛11022⪘⫢↹⩛12421=↹⩛21320","layer":3},{"info":"↹⩛-42040≌↹⩛21320=NaN","layer":2},{"info":"↹⩛40511⫯⪬∳↹⩛4444=↹⩛315404","layer":3},{"info":"↹⩛50454↳∿⪆↹⩛5220=NaN","layer":3},{"info":"↹⩛315404⩵∡NaN=NaN","layer":2},{"info":"NaN⫯⪬∳NaN=NaN","layer":1},{"info":"↹⩛0≌NaN=NaN","layer":0}]} +{"id":40,"expression_no_base_symbol":"((($2178$∝$1510$)⊵↤)↸$2479$∺≝⩲$5258$⪕$5213$⨽∌$3728$)⇷((⨵($2021$⊾⪯⋞$7863$))⇪⋭)","expression":"(((↹⩛14030∝↹⩛10554)⊵↤)↸↹⩛15251∺≝⩲↹⩛40202⪕↹⩛40045⨽∌↹⩛25132)⇷((⨵(↹⩛13205⊾⪯⋞↹⩛100223))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1270,"operation_count":10,"complexity_ratio":127.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2178,"base":6},"right_expr":{"type":"numeric_atoms","value":1510,"base":6}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2479,"base":6},"right_expr":{"type":"numeric_atoms","value":5258,"base":6}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5213,"base":6},"right_expr":{"type":"numeric_atoms","value":3728,"base":6}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2021,"base":6},"right_expr":{"type":"numeric_atoms","value":7863,"base":6}}}}},"used_operators":["mp7IySMOzn","1eCjFl0mb9","7IPrd9c3lf","cTDWOvIxvz","umQnsF7QlU","KPf6cnQVty","9samAPKr6k","Z8Yg6dlDSp","Tl3Y52tvF8","HK0tfVPux8"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2178","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=1510, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2183","layer":3},{"info":"compute unary expreesion, input=2183, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"number node, value=2479","layer":4},{"info":"number node, value=5258","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=5258, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5213","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=5213, right_input=3728, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1221","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1221, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=67","layer":1},{"info":"number node, value=2021","layer":4},{"info":"number node, value=7863","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=7863, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=15300","layer":3},{"info":"compute unary expreesion, input=15300, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-123609","layer":2},{"info":"compute unary expreesion, input=-123609, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛14030∝↹⩛10554)⊵↤)↸↹⩛15251∺≝⩲↹⩛40202⪕↹⩛40045⨽∌↹⩛25132)⇷((⨵(↹⩛13205⊾⪯⋞↹⩛100223))⇪⋭)=NaN","reverse_text":"NaN=(((↹⩛14030∝↹⩛10554)⊵↤)↸↹⩛15251∺≝⩲↹⩛40202⪕↹⩛40045⨽∌↹⩛25132)⇷((⨵(↹⩛13205⊾⪯⋞↹⩛100223))⇪⋭)","cot":[{"info":"↹⩛14030∝↹⩛10554=↹⩛14035","layer":3},{"info":"↹⩛14035⊵↤=↹⩛151","layer":2},{"info":"↹⩛15251∺≝⩲↹⩛40202=↹⩛424","layer":3},{"info":"↹⩛40045⨽∌↹⩛25132=↹⩛0","layer":3},{"info":"↹⩛424⪕↹⩛0=↹⩛5353","layer":2},{"info":"↹⩛151↸↹⩛5353=↹⩛151","layer":1},{"info":"↹⩛13205⊾⪯⋞↹⩛100223=↹⩛154500","layer":3},{"info":"⨵↹⩛154500=↹⩛-2352133","layer":2},{"info":"↹⩛-2352133⇪⋭=NaN","layer":1},{"info":"↹⩛151⇷NaN=NaN","layer":0}]} +{"id":41,"expression_no_base_symbol":"(∓⪦(($1063$≀⩗∶$4511$)⪐))⨂≜((↩$3206$∳⫺$2013$)∋(⨵≀≌$1040$)↞⋁($4565$⫔⩽⩺$4701$))","expression":"(∓⪦((↹⩛4531≀⩗∶↹⩛32515)⪐))⨂≜((↩↹⩛22502∳⫺↹⩛13153)∋(⨵≀≌↹⩛4452)↞⋁(↹⩛33045⫔⩽⩺↹⩛33433))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2591,"operation_count":10,"complexity_ratio":259.1,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1063,"base":6},"right_expr":{"type":"numeric_atoms","value":4511,"base":6}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3206,"base":6},"right_expr":{"type":"numeric_atoms","value":2013,"base":6}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1040,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4565,"base":6},"right_expr":{"type":"numeric_atoms","value":4701,"base":6}}}}},"used_operators":["k1SHOSEABc","D309nIvmXG","eH2TOUuTDT","8INZBEW696","ukq6epAj5P","jLgFTUHLKL","AzXXKTstlj","RqrPlJkxDo","srAu1WTS94","i9eR4S00cU"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=4511, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-12","layer":3},{"info":"compute unary expreesion, input=-12, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-24","layer":2},{"info":"compute unary expreesion, input=-24, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2191","layer":1},{"info":"number node, value=3206","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=2013, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3660","layer":2},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3120","layer":3},{"info":"number node, value=4565","layer":4},{"info":"number node, value=4701","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=4701, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3120, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3660, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-69264","layer":1},{"info":"compute binary expreesion, left_input=-2191, right_input=-69264, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∓⪦((↹⩛4531≀⩗∶↹⩛32515)⪐))⨂≜((↩↹⩛22502∳⫺↹⩛13153)∋(⨵≀≌↹⩛4452)↞⋁(↹⩛33045⫔⩽⩺↹⩛33433))=NaN","reverse_text":"NaN=(∓⪦((↹⩛4531≀⩗∶↹⩛32515)⪐))⨂≜((↩↹⩛22502∳⫺↹⩛13153)∋(⨵≀≌↹⩛4452)↞⋁(↹⩛33045⫔⩽⩺↹⩛33433))","cot":[{"info":"↹⩛4531≀⩗∶↹⩛32515=↹⩛-20","layer":3},{"info":"↹⩛-20⪐=↹⩛-40","layer":2},{"info":"∓⪦↹⩛-40=↹⩛-14051","layer":1},{"info":"↹⩛22502∳⫺↹⩛13153=↹⩛-1112","layer":3},{"info":"↩↹⩛-1112=↹⩛24540","layer":2},{"info":"⨵≀≌↹⩛4452=↹⩛-22240","layer":3},{"info":"↹⩛33045⫔⩽⩺↹⩛33433=NaN","layer":3},{"info":"↹⩛-22240↞⋁NaN=NaN","layer":2},{"info":"↹⩛24540∋NaN=↹⩛-1252400","layer":1},{"info":"↹⩛-14051⨂≜↹⩛-1252400=NaN","layer":0}]} +{"id":42,"expression_no_base_symbol":"≑⋹(($2452$≳⇉$4579$⫸⊐$1746$⇴$1660$)≎⊠⪸(($1394$⩧⪆$1650$)⩏))","expression":"≑⋹((↹⩛15204≳⇉↹⩛33111⫸⊐↹⩛12030⇴↹⩛11404)≎⊠⪸((↹⩛10242⩧⪆↹⩛11350)⩏))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":199540132,"operation_count":7,"complexity_ratio":28505733.14285714,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2452,"base":6},"right_expr":{"type":"numeric_atoms","value":4579,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1746,"base":6},"right_expr":{"type":"numeric_atoms","value":1660,"base":6}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1394,"base":6},"right_expr":{"type":"numeric_atoms","value":1650,"base":6}}}}},"used_operators":["6B9nyZLogK","bJkvcejdHO","mqXw5SEYmG","V0kx6qeWkN","4JB6nKBMSY","iA2gmKZ3Wj","Ikt5ks8PT7"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","sdazOOVcIp","NTOWxs364D","COABgblf1C","z6LnFrNh4i","Tcnh7f0tEr","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2452","layer":4},{"info":"number node, value=4579","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=4579, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1746","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=1660, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=13410","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13410, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1394","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1650, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1650","layer":3},{"info":"compute unary expreesion, input=-1650, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≑⋹((↹⩛15204≳⇉↹⩛33111⫸⊐↹⩛12030⇴↹⩛11404)≎⊠⪸((↹⩛10242⩧⪆↹⩛11350)⩏))=NaN","reverse_text":"NaN=≑⋹((↹⩛15204≳⇉↹⩛33111⫸⊐↹⩛12030⇴↹⩛11404)≎⊠⪸((↹⩛10242⩧⪆↹⩛11350)⩏))","cot":[{"info":"↹⩛15204≳⇉↹⩛33111=NaN","layer":3},{"info":"↹⩛12030⇴↹⩛11404=↹⩛142030","layer":3},{"info":"NaN⫸⊐↹⩛142030=NaN","layer":2},{"info":"↹⩛10242⩧⪆↹⩛11350=↹⩛-11350","layer":3},{"info":"↹⩛-11350⩏=↹⩛0","layer":2},{"info":"NaN≎⊠⪸↹⩛0=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]} +{"id":43,"expression_no_base_symbol":"∤(($2716$∑⇟⊟$5604$)↼⊘⨖($1419$⫌⩉⩟$1523$))↢((↽≂$8505$)%$6980$*$2670$)","expression":"∤((↹⩛20324∑⇟⊟↹⩛41540)↼⊘⨖(↹⩛10323⫌⩉⩟↹⩛11015))↢((↽≂↹⩛103213)%↹⩛52152*↹⩛20210)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10084,"operation_count":8,"complexity_ratio":1260.5,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2716,"base":6},"right_expr":{"type":"numeric_atoms","value":5604,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1419,"base":6},"right_expr":{"type":"numeric_atoms","value":1523,"base":6}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8505,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6980,"base":6},"right_expr":{"type":"numeric_atoms","value":2670,"base":6}}}}},"used_operators":["k2HlF1dBQh","WR6HLWljOP","bPywburJMS","U7g4x0WXJJ","XIIwhv8d0m","k8jYdgA6NY","u6S6b8DprG","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"↹⩛13","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2716","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=5604, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1523, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-322","layer":2},{"info":"number node, value=8505","layer":4},{"info":"compute unary expreesion, input=8505, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-17010","layer":3},{"info":"number node, value=6980","layer":4},{"info":"number node, value=2670","layer":4},{"info":"compute binary expreesion, left_input=6980, right_input=2670, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18636600","layer":3},{"info":"compute binary expreesion, left_input=-17010, right_input=18636600, op_id = k8jYdgA6NY binary_op_definition= 'None', output=18619590","layer":2},{"info":"compute binary expreesion, left_input=-322, right_input=18619590, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=37238536","layer":1},{"info":"compute unary expreesion, input=37238536, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":6,"result_base":6,"text":"∤((↹⩛20324∑⇟⊟↹⩛41540)↼⊘⨖(↹⩛10323⫌⩉⩟↹⩛11015))↢((↽≂↹⩛103213)%↹⩛52152*↹⩛20210)=↹⩛13","reverse_text":"↹⩛13=∤((↹⩛20324∑⇟⊟↹⩛41540)↼⊘⨖(↹⩛10323⫌⩉⩟↹⩛11015))↢((↽≂↹⩛103213)%↹⩛52152*↹⩛20210)","cot":[{"info":"↹⩛20324∑⇟⊟↹⩛41540=NaN","layer":3},{"info":"↹⩛10323⫌⩉⩟↹⩛11015=↹⩛-122","layer":3},{"info":"NaN↼⊘⨖↹⩛-122=↹⩛-1254","layer":2},{"info":"↽≂↹⩛103213=↹⩛-210430","layer":3},{"info":"↹⩛52152*↹⩛20210=↹⩛1503240320","layer":3},{"info":"↹⩛-210430%↹⩛1503240320=↹⩛1503025450","layer":2},{"info":"↹⩛-1254↢↹⩛1503025450=↹⩛3410052344","layer":1},{"info":"∤↹⩛3410052344=↹⩛13","layer":0}]} +{"id":44,"expression_no_base_symbol":"(($1714$∝$4087$)⪨⊡$4328$⪔$6853$∖$1322$⇻⋧≁$3648$⨐⩸⫘$1575$⩦$1369$)∓⋝((⇤←$1285$≁$4407$)∷($1209$≓∲$1578$)⇴∐(∷≠$1153$))","expression":"((↹⩛11534∝↹⩛30531)⪨⊡↹⩛32012⪔↹⩛51421∖↹⩛10042⇻⋧≁↹⩛24520⨐⩸⫘↹⩛11143⩦↹⩛10201)∓⋝((⇤←↹⩛5541≁↹⩛32223)∷(↹⩛5333≓∲↹⩛11150)⇴∐(∷≠↹⩛5201))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8722,"operation_count":14,"complexity_ratio":623.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1714,"base":6},"right_expr":{"type":"numeric_atoms","value":4087,"base":6}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4328,"base":6},"right_expr":{"type":"numeric_atoms","value":6853,"base":6}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1322,"base":6},"right_expr":{"type":"numeric_atoms","value":3648,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1575,"base":6},"right_expr":{"type":"numeric_atoms","value":1369,"base":6}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1285,"base":6},"right_expr":{"type":"numeric_atoms","value":4407,"base":6}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1209,"base":6},"right_expr":{"type":"numeric_atoms","value":1578,"base":6}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1153,"base":6}}}}},"used_operators":["PoHhknlbAi","tXD093vOjl","kuIXHzHcAH","cTDWOvIxvz","GjBEYRfMaF","fu6greOZ01","jCPkEVoL5K","0kmYd0q39Y","D3AQDKkPcf","jfAgQ2OQeM","8N2wDY1A35","HnzytWxmAO","s1XTVnmDOJ","QiR2Oyf5Xj"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","3ViojmjbAp","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","7j4O788W3g"],"result":"↹⩛321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=4087, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1719","layer":3},{"info":"number node, value=4328","layer":4},{"info":"number node, value=6853","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=6853, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=1719, right_input=450, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1322","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=3648, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1369, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3150","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3150, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=1285","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4407, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=92567","layer":3},{"info":"compute unary expreesion, input=92567, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-461469","layer":2},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1578, 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=12873","layer":3},{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1153","layer":3},{"info":"compute binary expreesion, left_input=12873, right_input=1153, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-461469, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11534∝↹⩛30531)⪨⊡↹⩛32012⪔↹⩛51421∖↹⩛10042⇻⋧≁↹⩛24520⨐⩸⫘↹⩛11143⩦↹⩛10201)∓⋝((⇤←↹⩛5541≁↹⩛32223)∷(↹⩛5333≓∲↹⩛11150)⇴∐(∷≠↹⩛5201))=↹⩛321","reverse_text":"↹⩛321=((↹⩛11534∝↹⩛30531)⪨⊡↹⩛32012⪔↹⩛51421∖↹⩛10042⇻⋧≁↹⩛24520⨐⩸⫘↹⩛11143⩦↹⩛10201)∓⋝((⇤←↹⩛5541≁↹⩛32223)∷(↹⩛5333≓∲↹⩛11150)⇴∐(∷≠↹⩛5201))","cot":[{"info":"↹⩛11534∝↹⩛30531=↹⩛11543","layer":3},{"info":"↹⩛32012⪔↹⩛51421=↹⩛2030","layer":3},{"info":"↹⩛11543⪨⊡↹⩛2030=↹⩛0","layer":2},{"info":"↹⩛10042⇻⋧≁↹⩛24520=↹⩛-2023","layer":3},{"info":"↹⩛11143⩦↹⩛10201=↹⩛22330","layer":3},{"info":"↹⩛-2023⨐⩸⫘↹⩛22330=NaN","layer":2},{"info":"↹⩛0∖NaN=↹⩛0","layer":1},{"info":"↹⩛5541≁↹⩛32223=↹⩛1552315","layer":3},{"info":"⇤←↹⩛1552315=↹⩛-13520233","layer":2},{"info":"↹⩛5333≓∲↹⩛11150=↹⩛135333","layer":3},{"info":"∷≠↹⩛5201=↹⩛5201","layer":3},{"info":"↹⩛135333⇴∐↹⩛5201=NaN","layer":2},{"info":"↹⩛-13520233∷NaN=NaN","layer":1},{"info":"↹⩛0∓⋝NaN=↹⩛321","layer":0}]} +{"id":45,"expression_no_base_symbol":"(⩏⊷≩($6864$∀⋜↑))↼⊘⨖(⊤⊝(∂$6353$))⋝���⪟(⫟((⨵$1545$)↦))","expression":"(⩏⊷≩(↹⩛51440∀⋜↑))↼⊘⨖(⊤⊝(∂↹⩛45225))⋝⋈⪟(⫟((⨵↹⩛11053)↦))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":613,"operation_count":9,"complexity_ratio":68.11111111111111,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":6864,"base":6}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6353,"base":6}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1545,"base":6}}}}},"used_operators":["2DDjHMKMc0","bPywburJMS","uOZ1tnYMDE","KipPnG1M2J","rXAclfmB4M","Uaa54Peajs","z4E1FaHLuy","fFznvYxMfW","Tl3Y52tvF8"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","sdazOOVcIp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6864","layer":4},{"info":"compute unary expreesion, input=6864, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute unary expreesion, input=-484, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2550","layer":2},{"info":"number node, value=6353","layer":4},{"info":"compute unary expreesion, input=6353, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2550, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-13569","layer":3},{"info":"compute unary expreesion, input=-13569, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-20","layer":2},{"info":"compute unary expreesion, input=-20, 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=967","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=967, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩏⊷≩(↹⩛51440∀⋜↑))↼⊘⨖(⊤⊝(∂↹⩛45225))⋝⋈⪟(⫟((⨵↹⩛11053)↦))=NaN","reverse_text":"NaN=(⩏⊷≩(↹⩛51440∀⋜↑))↼⊘⨖(⊤⊝(∂↹⩛45225))⋝⋈⪟(⫟((⨵↹⩛11053)↦))","cot":[{"info":"↹⩛51440∀⋜↑=↹⩛-2124","layer":3},{"info":"⩏⊷≩↹⩛-2124=↹⩛15450","layer":2},{"info":"∂↹⩛45225=NaN","layer":3},{"info":"⊤⊝NaN=NaN","layer":2},{"info":"↹⩛15450↼⊘⨖NaN=NaN","layer":1},{"info":"⨵↹⩛11053=↹⩛-142453","layer":3},{"info":"↹⩛-142453↦=↹⩛-32","layer":2},{"info":"⫟↹⩛-32=↹⩛4251","layer":1},{"info":"NaN⋝⋈⪟↹⩛4251=NaN","layer":0}]} +{"id":46,"expression_no_base_symbol":"$6658$⪝$2590$≦↸$1883$⨿$4151$⊢($7132$⫸⇳$5302$⩭)-($2829$↳∿⪆$3241$)⫘$1182$⋥⋵⩄$2229$⫲≸⪮(⊈(∤↝$2632$))","expression":"↹⩛50454⪝↹⩛15554≦↸↹⩛12415⨿↹⩛31115⊢(↹⩛53004⫸⇳↹⩛40314⩭)-(↹⩛21033↳∿⪆↹⩛23001)⫘↹⩛5250⋥⋵⩄↹⩛14153⫲≸⪮(⊈(∤↝↹⩛20104))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36364,"operation_count":13,"complexity_ratio":2797.230769230769,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6658,"base":6},"right_expr":{"type":"numeric_atoms","value":2590,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1883,"base":6},"right_expr":{"type":"numeric_atoms","value":4151,"base":6}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":7132,"base":6},"right_expr":{"type":"numeric_atoms","value":5302,"base":6}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2829,"base":6},"right_expr":{"type":"numeric_atoms","value":3241,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1182,"base":6},"right_expr":{"type":"numeric_atoms","value":2229,"base":6}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2632,"base":6}}}}},"used_operators":["rysDP5nf3Z","5twsqlHp2o","RygbFNSyEJ","wicAB68Tmb","abYXlopdE0","yIPP7u6H5x","gx7XJ7hdpj","P3lXMJvFrc","48vC8HMD2b","Cw4SuJJGHO","7t3wd0Fuz7","RHru8klgy8","3UMq87Qwqg"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","12rbrZMWeM","xUOZtlo3hN","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6658","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=6658, right_input=2590, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-16671","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=4151","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=4151, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-16671, right_input=-319, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=17352","layer":2},{"info":"number node, value=7132","layer":4},{"info":"number node, value=5302","layer":4},{"info":"compute binary expreesion, left_input=7132, right_input=5302, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=17352, right_input=450, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-34948","layer":1},{"info":"number node, value=2829","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=3241, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=2229, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"number node, value=2632","layer":4},{"info":"compute unary expreesion, input=2632, 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=2632","layer":3},{"info":"compute unary expreesion, input=2632, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2806","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2806, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-34948, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛50454⪝↹⩛15554≦↸↹⩛12415⨿↹⩛31115⊢(↹⩛53004⫸⇳↹⩛40314⩭)-(↹⩛21033↳∿⪆↹⩛23001)⫘↹⩛5250⋥⋵⩄↹⩛14153⫲≸⪮(⊈(∤↝↹⩛20104))=NaN","reverse_text":"NaN=↹⩛50454⪝↹⩛15554≦↸↹⩛12415⨿↹⩛31115⊢(↹⩛53004⫸⇳↹⩛40314⩭)-(↹⩛21033↳∿⪆↹⩛23001)⫘↹⩛5250⋥⋵⩄↹⩛14153⫲≸⪮(⊈(∤↝↹⩛20104))","cot":[{"info":"↹⩛50454⪝↹⩛15554=↹⩛-205103","layer":3},{"info":"↹⩛12415⨿↹⩛31115=↹⩛-1251","layer":3},{"info":"↹⩛-205103≦↸↹⩛-1251=↹⩛212200","layer":2},{"info":"↹⩛53004⫸⇳↹⩛40314=↹⩛0","layer":3},{"info":"↹⩛0⩭=↹⩛2030","layer":2},{"info":"↹⩛212200⊢↹⩛2030=↹⩛-425444","layer":1},{"info":"↹⩛21033↳∿⪆↹⩛23001=NaN","layer":3},{"info":"↹⩛5250⋥⋵⩄↹⩛14153=↹⩛305","layer":3},{"info":"NaN⫘↹⩛305=NaN","layer":2},{"info":"∤↝↹⩛20104=↹⩛20104","layer":3},{"info":"⊈↹⩛20104=↹⩛-20554","layer":2},{"info":"NaN⫲≸⪮↹⩛-20554=NaN","layer":1},{"info":"↹⩛-425444-NaN=NaN","layer":0}]} +{"id":47,"expression_no_base_symbol":"(⊵⊁($2125$⪨⊡$1154$∕⩚(⩎⋉$2410$)))⩺⋐⫨","expression":"(⊵⊁(↹⩛13501⪨⊡↹⩛5202∕⩚(⩎⋉↹⩛15054)))⩺⋐⫨","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":161,"operation_count":5,"complexity_ratio":32.2,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2125,"base":6},"right_expr":{"type":"numeric_atoms","value":1154,"base":6}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2410,"base":6}}}}},"used_operators":["yS9ePUuUdn","AvED76WdY7","z9ffQ9n5Zr","kuIXHzHcAH","FlXk3pOYe8"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","uBihLCJcMX","k8jYdgA6NY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2125","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=1154, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2410","layer":4},{"info":"compute unary expreesion, input=2410, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊵⊁(↹⩛13501⪨⊡↹⩛5202∕⩚(⩎⋉↹⩛15054)))⩺⋐⫨=NaN","reverse_text":"NaN=(⊵⊁(↹⩛13501⪨⊡↹⩛5202∕⩚(⩎⋉↹⩛15054)))⩺⋐⫨","cot":[{"info":"↹⩛13501⪨⊡↹⩛5202=↹⩛0","layer":3},{"info":"⩎⋉↹⩛15054=↹⩛11350","layer":3},{"info":"↹⩛0∕⩚↹⩛11350=NaN","layer":2},{"info":"⊵⊁NaN=NaN","layer":1},{"info":"NaN⩺⋐⫨=NaN","layer":0}]} +{"id":48,"expression_no_base_symbol":"(⪹(≇⪴(↔$3849$)))⪷","expression":"(⪹(≇⪴(↔↹⩛25453)))⪷","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14513,"operation_count":4,"complexity_ratio":3628.25,"tree":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3849,"base":6}}}}},"used_operators":["Qctrpi3WzA","USyYr0JgAa","zoVPnxeHJ3","ruOEQAzv1W"],"dependent_operators":["Nsiff2A1zJ","tifHPKVTfV","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3849","layer":4},{"info":"compute unary expreesion, input=3849, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3576","layer":3},{"info":"compute unary expreesion, input=-3576, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-14304","layer":2},{"info":"compute unary expreesion, input=-14304, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=14484","layer":1},{"info":"compute unary expreesion, input=14484, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪹(≇⪴(↔↹⩛25453)))⪷=NaN","reverse_text":"NaN=(⪹(≇⪴(↔↹⩛25453)))⪷","cot":[{"info":"↔↹⩛25453=↹⩛-24320","layer":3},{"info":"≇⪴↹⩛-24320=↹⩛-150120","layer":2},{"info":"⪹↹⩛-150120=↹⩛151020","layer":1},{"info":"↹⩛151020⪷=NaN","layer":0}]} +{"id":49,"expression_no_base_symbol":"(≯($3653$↞⋁$5055$)⊕∕($2236$⫃⨇$1278$))≎⪠(($5923$⋥⋵⩄$5934$)⩣⫁∢($6707$∴≳≥)∀⇚≩$3300$∊∟⩊$6567$⋥⋵⩄($4357$⇴∐$2431$))","expression":"(≯(↹⩛24525↞⋁↹⩛35223)⊕∕(↹⩛14204⫃⨇↹⩛5530))≎⪠((↹⩛43231⋥⋵⩄↹⩛43250)⩣⫁∢(↹⩛51015∴≳≥)∀⇚≩↹⩛23140∊∟⩊↹⩛50223⋥⋵⩄(↹⩛32101⇴∐↹⩛15131))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19862,"operation_count":12,"complexity_ratio":1655.1666666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3653,"base":6},"right_expr":{"type":"numeric_atoms","value":5055,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2236,"base":6},"right_expr":{"type":"numeric_atoms","value":1278,"base":6}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5923,"base":6},"right_expr":{"type":"numeric_atoms","value":5934,"base":6}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":6707,"base":6}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3300,"base":6},"right_expr":{"type":"numeric_atoms","value":6567,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4357,"base":6},"right_expr":{"type":"numeric_atoms","value":2431,"base":6}}}}},"used_operators":["aNhz54LH3e","keWfFq85dY","9cloC0Ngie","RqrPlJkxDo","09Ly4LVMIf","LRNGc0VcxI","JDUIKTTSIa","7t3wd0Fuz7","a3N2hFLK0J","ddLRYrp01A","HnzytWxmAO"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","g55IO6H4Gj","JLbD19bQDL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","X99M06cbEe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3653","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=5055, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2236","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=1278, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5144","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5144, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=5923","layer":4},{"info":"number node, value=5934","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=5934, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=6707","layer":4},{"info":"compute unary expreesion, input=6707, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=26828","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=26828, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-65","layer":2},{"info":"number node, value=3300","layer":4},{"info":"number node, value=6567","layer":4},{"info":"compute binary expreesion, left_input=3300, right_input=6567, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6567","layer":3},{"info":"number node, value=4357","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=4357, right_input=2431, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6567, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-65, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(≯(↹⩛24525↞⋁↹⩛35223)⊕∕(↹⩛14204⫃⨇↹⩛5530))≎⪠((↹⩛43231⋥⋵⩄↹⩛43250)⩣⫁∢(↹⩛51015∴≳≥)∀⇚≩↹⩛23140∊∟⩊↹⩛50223⋥⋵⩄(↹⩛32101⇴∐↹⩛15131))=↹⩛230314","reverse_text":"↹⩛230314=(≯(↹⩛24525↞⋁↹⩛35223)⊕∕(↹⩛14204⫃⨇↹⩛5530))≎⪠((↹⩛43231⋥⋵⩄↹⩛43250)⩣⫁∢(↹⩛51015∴≳≥)∀⇚≩↹⩛23140∊∟⩊↹⩛50223⋥⋵⩄(↹⩛32101⇴∐↹⩛15131))","cot":[{"info":"↹⩛24525↞⋁↹⩛35223=NaN","layer":3},{"info":"↹⩛14204⫃⨇↹⩛5530=↹⩛-35452","layer":3},{"info":"NaN⊕∕↹⩛-35452=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"↹⩛43231⋥⋵⩄↹⩛43250=↹⩛305","layer":3},{"info":"↹⩛51015∴≳≥=↹⩛324112","layer":3},{"info":"↹⩛305⩣⫁∢↹⩛324112=↹⩛-145","layer":2},{"info":"↹⩛23140∊∟⩊↹⩛50223=↹⩛50223","layer":3},{"info":"↹⩛32101⇴∐↹⩛15131=NaN","layer":3},{"info":"↹⩛50223⋥⋵⩄NaN=NaN","layer":2},{"info":"↹⩛-145∀⇚≩NaN=NaN","layer":1},{"info":"NaN≎⪠NaN=↹⩛230314","layer":0}]} +{"id":50,"expression_no_base_symbol":"(($2027$∌↝$6767$⩚⊴⇥($1878$*$2093$))⫞⩸⩒(⇜⊴$1621$≒∊$2010$))⪃⊛⇣((⫛⫱⨽($1792$⊹∫⫚$2854$))⫃⨇(↯⪼(⨩∲⋌$1736$)))","expression":"((↹⩛13215∌↝↹⩛51155⩚⊴⇥(↹⩛12410*↹⩛13405))⫞⩸⩒(⇜⊴↹⩛11301≒∊↹⩛13150))⪃⊛⇣((⫛⫱⨽(↹⩛12144⊹∫⫚↹⩛21114))⫃⨇(↯⪼(⨩∲⋌↹⩛12012)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3602,"operation_count":12,"complexity_ratio":300.1666666666667,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2027,"base":6},"right_expr":{"type":"numeric_atoms","value":6767,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1878,"base":6},"right_expr":{"type":"numeric_atoms","value":2093,"base":6}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1621,"base":6},"right_expr":{"type":"numeric_atoms","value":2010,"base":6}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1792,"base":6},"right_expr":{"type":"numeric_atoms","value":2854,"base":6}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1736,"base":6}}}}},"used_operators":["rrgAzCduG9","XGcMNugi78","NTOWxs364D","9Isq31Ruls","9HNa5Wba9A","XwDhCwWbUn","5KTvxBwnZo","09Ly4LVMIf","DlLNRPXxWL","uWAJUKEvyW","8jW3W4yZS5","aSik1wnThz"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rGHVDoGpnC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=6767","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=6767, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1878","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=2093, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3930654","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3930654, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3930775","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=2010, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1137","layer":3},{"info":"compute unary expreesion, input=-1137, 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=-30020","layer":2},{"info":"compute binary expreesion, left_input=-3930775, right_input=-30020, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-3930775","layer":1},{"info":"number node, value=1792","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=2854, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-68","layer":3},{"info":"compute unary expreesion, input=-68, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2259","layer":3},{"info":"compute unary expreesion, input=-2259, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=3601","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3601, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-14436","layer":1},{"info":"compute binary expreesion, left_input=-3930775, right_input=-14436, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13215∌↝↹⩛51155⩚⊴⇥(↹⩛12410*↹⩛13405))⫞⩸⩒(⇜⊴↹⩛11301≒∊↹⩛13150))⪃⊛⇣((⫛⫱⨽(↹⩛12144⊹∫⫚↹⩛21114))⫃⨇(↯⪼(⨩∲⋌↹⩛12012)))=↹⩛5414","reverse_text":"↹⩛5414=((↹⩛13215∌↝↹⩛51155⩚⊴⇥(↹⩛12410*↹⩛13405))⫞⩸⩒(⇜⊴↹⩛11301≒∊↹⩛13150))⪃⊛⇣((⫛⫱⨽(↹⩛12144⊹∫⫚↹⩛21114))⫃⨇(↯⪼(⨩∲⋌↹⩛12012)))","cot":[{"info":"↹⩛13215∌↝↹⩛51155=↹⩛0","layer":3},{"info":"↹⩛12410*↹⩛13405=↹⩛220125250","layer":3},{"info":"↹⩛0⩚⊴⇥↹⩛220125250=↹⩛-220130011","layer":2},{"info":"↹⩛11301≒∊↹⩛13150=↹⩛-5133","layer":3},{"info":"⇜⊴↹⩛-5133=↹⩛-350552","layer":2},{"info":"↹⩛-220130011⫞⩸⩒↹⩛-350552=↹⩛-220130011","layer":1},{"info":"↹⩛12144⊹∫⫚↹⩛21114=↹⩛-152","layer":3},{"info":"⫛⫱⨽↹⩛-152=↹⩛0","layer":2},{"info":"⨩∲⋌↹⩛12012=↹⩛-14243","layer":3},{"info":"↯⪼↹⩛-14243=↹⩛24401","layer":2},{"info":"↹⩛0⫃⨇↹⩛24401=↹⩛-150500","layer":1},{"info":"↹⩛-220130011⪃⊛⇣↹⩛-150500=↹⩛5414","layer":0}]} +{"id":51,"expression_no_base_symbol":"(($1937$↳≱$3147$⫳≱↱$1294$⊱⇼⊻$9355$)∛≔)≧⫂∧(($1404$-$1662$)∊∟⩊($1707$↸$2772$)≬⋮($1029$⫿)+⪬∐(⨈⫕$5532$))","expression":"((↹⩛12545↳��↹⩛22323⫳≱↱↹⩛5554⊱⇼⊻↹⩛111151)∛≔)≧⫂∧((↹⩛10300-↹⩛11410)∊∟⩊(↹⩛11523↸↹⩛20500)≬⋮(↹⩛4433⫿)+⪬∐(⨈⫕↹⩛41340))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3056,"operation_count":12,"complexity_ratio":254.66666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1937,"base":6},"right_expr":{"type":"numeric_atoms","value":3147,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1294,"base":6},"right_expr":{"type":"numeric_atoms","value":9355,"base":6}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1404,"base":6},"right_expr":{"type":"numeric_atoms","value":1662,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1707,"base":6},"right_expr":{"type":"numeric_atoms","value":2772,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1029,"base":6}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5532,"base":6}}}}},"used_operators":["Ph9nP6C5qx","mGnSCrte3L","ZvLB05nZmT","JwTKLfZU96","FyVja0WsTP","kbkesczE7y","ddLRYrp01A","rysDP5nf3Z","1eCjFl0mb9","2GS7woTJqF","9tKT6PmtkH","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"↹⩛1455","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1937","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=3147, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1294","layer":4},{"info":"number node, value=9355","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=9355, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=434, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute unary expreesion, input=-204, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1662, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-258","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=2772, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1707","layer":3},{"info":"compute binary expreesion, left_input=-258, right_input=1707, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1707","layer":2},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1029","layer":3},{"info":"number node, value=5532","layer":4},{"info":"compute unary expreesion, input=5532, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=1029, right_input=-21, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3087","layer":2},{"info":"compute binary expreesion, left_input=1707, right_input=-3087, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-305287, right_input=868, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=395","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12545↳≱↹⩛22323⫳≱↱↹⩛5554⊱⇼⊻↹⩛111151)∛≔)≧⫂∧((↹⩛10300-↹⩛11410)∊∟⩊(↹⩛11523↸↹⩛20500)≬⋮(↹⩛4433⫿)+⪬∐(⨈⫕↹⩛41340))=↹⩛1455","reverse_text":"↹⩛1455=((↹⩛12545↳≱↹⩛22323⫳≱↱↹⩛5554⊱⇼⊻↹⩛111151)∛≔)≧⫂∧((↹⩛10300-↹⩛11410)∊∟⩊(↹⩛11523↸↹⩛20500)≬⋮(↹⩛4433⫿)+⪬∐(⨈⫕↹⩛41340))","cot":[{"info":"↹⩛12545↳≱↹⩛22323=↹⩛0","layer":3},{"info":"↹⩛5554⊱⇼⊻↹⩛111151=↹⩛2002","layer":3},{"info":"↹⩛0⫳≱↱↹⩛2002=↹⩛-540","layer":2},{"info":"↹⩛-540∛≔=↹⩛-10313211","layer":1},{"info":"↹⩛10300-↹⩛11410=↹⩛-1110","layer":3},{"info":"↹⩛11523↸↹⩛20500=↹⩛11523","layer":3},{"info":"↹⩛-1110∊∟⩊↹⩛11523=↹⩛11523","layer":2},{"info":"↹⩛4433⫿=↹⩛4433","layer":3},{"info":"⨈⫕↹⩛41340=↹⩛-33","layer":3},{"info":"↹⩛4433+⪬∐↹⩛-33=↹⩛-22143","layer":2},{"info":"↹⩛11523≬⋮↹⩛-22143=↹⩛4004","layer":1},{"info":"↹⩛-10313211≧⫂∧↹⩛4004=↹⩛1455","layer":0}]} +{"id":52,"expression_no_base_symbol":"⩦⩻⨪(⪁⇼(⩦⩻⨪$3678$))⪍↜⋙($3795$≧⫂∧$1046$⨔≚≋$3219$∳⫺$2506$)","expression":"⩦⩻⨪(⪁⇼(⩦⩻⨪↹⩛25010))⪍↜⋙(↹⩛25323≧⫂∧↹⩛4502⨔≚≋↹⩛22523∳⫺↹⩛15334)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":134,"operation_count":7,"complexity_ratio":19.142857142857142,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3678,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3795,"base":6},"right_expr":{"type":"numeric_atoms","value":1046,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3219,"base":6},"right_expr":{"type":"numeric_atoms","value":2506,"base":6}}}}},"used_operators":["2td37pGCOC","L05ObWFQCd","ZNVVrZ94lY","Z57zeUYC9z","Ph9nP6C5qx","AzXXKTstlj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"↹⩛-252445","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3678","layer":4},{"info":"compute unary expreesion, input=3678, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3678","layer":3},{"info":"compute unary expreesion, input=3678, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=3795","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3795, right_input=1046, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=573","layer":3},{"info":"number node, value=3219","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=2506, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=573, right_input=-260, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=9872, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-22637","layer":1},{"info":"compute unary expreesion, input=-22637, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-22637","layer":0}],"base":6,"result_base":6,"text":"⩦⩻⨪(⪁⇼(⩦⩻⨪↹⩛25010))⪍↜⋙(↹⩛25323≧⫂∧↹⩛4502⨔≚≋↹⩛22523∳⫺↹⩛15334)=↹⩛-252445","reverse_text":"↹⩛-252445=⩦⩻⨪(⪁⇼(⩦⩻⨪↹⩛25010))⪍↜⋙(↹⩛25323≧⫂∧↹⩛4502⨔≚≋↹⩛22523∳⫺↹⩛15334)","cot":[{"info":"⩦⩻⨪↹⩛25010=↹⩛25010","layer":3},{"info":"⪁⇼↹⩛25010=↹⩛1542","layer":2},{"info":"↹⩛25323≧⫂∧↹⩛4502=↹⩛2353","layer":3},{"info":"↹⩛22523∳⫺↹⩛15334=↹⩛-1112","layer":3},{"info":"↹⩛2353⨔≚≋↹⩛-1112=↹⩛113412","layer":2},{"info":"↹⩛1542⪍↜⋙↹⩛113412=↹⩛-252445","layer":1},{"info":"⩦⩻⨪↹⩛-252445=↹⩛-252445","layer":0}]} +{"id":53,"expression_no_base_symbol":"(⨞⊢($2177$⫲≸⪮$2611$)↤⩊($1820$%$7351$))⨫⇇↔(($7022$⪮%⊝$5306$)≨$3945$⩼⇪↪$1129$⫢⨠($6482$⨽$1349$*$1353$⊱⇼⊻$1541$))","expression":"(⨞⊢(↹⩛14025⫲≸⪮↹⩛20031)↤⩊(↹⩛12232%↹⩛54011))⨫⇇↔((↹⩛52302⪮%⊝↹⩛40322)≨↹⩛30133⩼⇪↪↹⩛5121⫢⨠(↹⩛50002⨽↹⩛10125*↹⩛10133⊱⇼⊻↹⩛11045))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9450,"operation_count":12,"complexity_ratio":787.5,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2177,"base":6},"right_expr":{"type":"numeric_atoms","value":2611,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1820,"base":6},"right_expr":{"type":"numeric_atoms","value":7351,"base":6}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7022,"base":6},"right_expr":{"type":"numeric_atoms","value":5306,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3945,"base":6},"right_expr":{"type":"numeric_atoms","value":1129,"base":6}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6482,"base":6},"right_expr":{"type":"numeric_atoms","value":1349,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1353,"base":6},"right_expr":{"type":"numeric_atoms","value":1541,"base":6}}}}},"used_operators":["LXhwmt4mBO","xUOZtlo3hN","13rbtpv6ld","P3lXMJvFrc","k8jYdgA6NY","xlXykHWxX1","0KMCeP1Jsh","IWmyXbctLI","ocnLzx9CaJ","9HNa5Wba9A","8HhzD0ZcuI","FyVja0WsTP"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"↹⩛-2235","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2177","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=2611, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2177","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=7351","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=7351, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1820","layer":3},{"info":"compute binary expreesion, left_input=2177, right_input=1820, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=7022","layer":4},{"info":"number node, value=5306","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=5306, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14360","layer":3},{"info":"number node, value=3945","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=1129, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-796","layer":3},{"info":"compute binary expreesion, left_input=14360, right_input=-796, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-141124","layer":2},{"info":"number node, value=6482","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=6482, right_input=1349, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-126051705","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1541, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-126051705, right_input=434, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-141124, right_input=-inf, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":6,"result_base":6,"text":"(⨞⊢(↹⩛14025⫲≸⪮↹⩛20031)↤⩊(↹⩛12232%↹⩛54011))⨫⇇↔((↹⩛52302⪮%⊝↹⩛40322)≨↹⩛30133⩼⇪↪↹⩛5121⫢⨠(↹⩛50002⨽↹⩛10125*↹⩛10133⊱⇼⊻↹⩛11045))=↹⩛-2235","reverse_text":"↹⩛-2235=(⨞⊢(↹⩛14025⫲≸⪮↹⩛20031)↤⩊(↹⩛12232%↹⩛54011))⨫⇇↔((↹⩛52302⪮%⊝↹⩛40322)≨↹⩛30133⩼⇪↪↹⩛5121⫢⨠(↹⩛50002⨽↹⩛10125*↹⩛10133⊱⇼⊻↹⩛11045))","cot":[{"info":"↹⩛14025⫲≸⪮↹⩛20031=↹⩛14025","layer":3},{"info":"↹⩛12232%↹⩛54011=↹⩛12232","layer":3},{"info":"↹⩛14025↤⩊↹⩛12232=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"↹⩛52302⪮%⊝↹⩛40322=↹⩛150252","layer":3},{"info":"↹⩛30133⩼⇪↪↹⩛5121=↹⩛-3404","layer":3},{"info":"↹⩛150252≨↹⩛-3404=↹⩛-3005204","layer":2},{"info":"↹⩛50002⨽↹⩛10125=↹⩛-20301420413","layer":3},{"info":"↹⩛10133⊱⇼⊻↹⩛11045=↹⩛2002","layer":3},{"info":"↹⩛-20301420413*↹⩛2002=-Inf","layer":2},{"info":"↹⩛-3005204⫢⨠-Inf=NaN","layer":1},{"info":"NaN⨫⇇↔NaN=↹⩛-2235","layer":0}]} +{"id":54,"expression_no_base_symbol":"(($1686$∋$1439$⩁)⋫)⇼⇔∾((↸⊣$4016$)⩚⊴⇥($2925$≃$6517$))⪝($1095$⨐⩸⫘$1086$∷)","expression":"((↹⩛11450∋↹⩛10355⩁)⋫)⇼⇔∾((↸⊣↹⩛30332)⩚⊴⇥(↹⩛21313≃↹⩛50101))⪝(↹⩛5023⨐⩸⫘↹⩛5010∷)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":594,"operation_count":10,"complexity_ratio":59.4,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1686,"base":6},"right_expr":{"type":"numeric_atoms","value":1439,"base":6}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":4016,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2925,"base":6},"right_expr":{"type":"numeric_atoms","value":6517,"base":6}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1095,"base":6},"right_expr":{"type":"numeric_atoms","value":1086,"base":6}}}}},"used_operators":["tifHPKVTfV","JL8yIekQnl","5GqDbVmqXU","ukq6epAj5P","wicAB68Tmb","NTOWxs364D","wztAlM01eG","YbVcJGFEVW","nFAOW8KTqp","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=1439, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3015608","layer":3},{"info":"compute unary expreesion, input=3015608, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-24122084","layer":2},{"info":"compute unary expreesion, input=-24122084, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"number node, value=4016","layer":4},{"info":"compute unary expreesion, input=4016, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3729","layer":3},{"info":"number node, value=2925","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=6517, 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=-11740","layer":3},{"info":"compute binary expreesion, left_input=-3729, right_input=-11740, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=15348","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1086, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15348, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11450∋↹⩛10355⩁)⋫)⇼⇔∾((↸⊣↹⩛30332)⩚⊴⇥(↹⩛21313≃↹⩛50101))⪝(↹⩛5023⨐⩸⫘↹⩛5010∷)=NaN","reverse_text":"NaN=((↹⩛11450∋↹⩛10355⩁)⋫)⇼⇔∾((↸⊣↹⩛30332)⩚⊴⇥(↹⩛21313≃↹⩛50101))⪝(↹⩛5023⨐⩸⫘↹⩛5010∷)","cot":[{"info":"↹⩛11450∋↹⩛10355=↹⩛144345052","layer":3},{"info":"↹⩛144345052⩁=↹⩛-2221004152","layer":2},{"info":"↹⩛-2221004152⋫=NaN","layer":1},{"info":"↸⊣↹⩛30332=↹⩛-25133","layer":3},{"info":"↹⩛21313≃↹⩛50101=↹⩛-130204","layer":3},{"info":"↹⩛-25133⩚⊴⇥↹⩛-130204=↹⩛155020","layer":2},{"info":"↹⩛5023⨐⩸⫘↹⩛5010=NaN","layer":3},{"info":"NaN∷=NaN","layer":2},{"info":"↹⩛155020⪝NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]} +{"id":55,"expression_no_base_symbol":"($5160$⪛$4451$⨐⩸⫘($1152$⨳⩥⨓$4006$))≁(($1704$⊿∆)⩖⊿(-$8607$))⩹(⪛⨧(⫟$2382$)⋹⋡⊁($6610$↳≱$1790$))","expression":"(↹⩛35520⪛↹⩛32335⨐⩸⫘(↹⩛5200⨳⩥⨓↹⩛30314))≁((↹⩛11520⊿∆)⩖⊿(-↹⩛103503))⩹(⪛⨧(⫟↹⩛15010)⋹⋡⊁(↹⩛50334↳≱↹⩛12142))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":205,"operation_count":12,"complexity_ratio":17.083333333333332,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5160,"base":6},"right_expr":{"type":"numeric_atoms","value":4451,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1152,"base":6},"right_expr":{"type":"numeric_atoms","value":4006,"base":6}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1704,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":8607,"base":6}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2382,"base":6}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6610,"base":6},"right_expr":{"type":"numeric_atoms","value":1790,"base":6}}}}},"used_operators":["2Wsdkap16l","8N2wDY1A35","fu6greOZ01","uFcxV4UQCh","nCS4ZIUYfx","RZ5CV9rWsJ","fv3ZujxkQL","t8gj7n24qd","6NJAcO2OWT","As8RqfVLgs","z4E1FaHLuy","JwTKLfZU96"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"↹⩛4144203","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5160","layer":4},{"info":"number node, value=4451","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=4451, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=709","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4006, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2854","layer":3},{"info":"compute binary expreesion, left_input=709, right_input=2854, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3529","layer":3},{"info":"number node, value=8607","layer":4},{"info":"compute unary expreesion, input=8607, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8607","layer":3},{"info":"compute binary expreesion, left_input=-3529, right_input=-8607, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19128","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19128, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=2382","layer":4},{"info":"compute unary expreesion, input=2382, 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=-6239","layer":3},{"info":"number node, value=6610","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=6610, right_input=1790, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6239, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=99562","layer":2},{"info":"compute unary expreesion, input=99562, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=200525","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=200525, 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=200523","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35520⪛↹⩛32335⨐⩸⫘(↹⩛5200⨳⩥⨓↹⩛30314))≁((↹⩛11520⊿∆)⩖⊿(-↹⩛103503))⩹(⪛⨧(⫟↹⩛15010)⋹⋡⊁(↹⩛50334↳≱↹⩛12142))=↹⩛4144203","reverse_text":"↹⩛4144203=(↹⩛35520⪛↹⩛32335⨐⩸⫘(↹⩛5200⨳⩥⨓↹⩛30314))≁((↹⩛11520⊿∆)⩖⊿(-↹⩛103503))⩹(⪛⨧(⫟↹⩛15010)⋹⋡⊁(↹⩛50334↳≱↹⩛12142))","cot":[{"info":"↹⩛35520⪛↹⩛32335=↹⩛3141","layer":3},{"info":"↹⩛5200⨳⩥⨓↹⩛30314=↹⩛21114","layer":3},{"info":"↹⩛3141⨐⩸⫘↹⩛21114=NaN","layer":2},{"info":"↹⩛11520⊿∆=↹⩛-24201","layer":3},{"info":"-↹⩛103503=↹⩛-103503","layer":3},{"info":"↹⩛-24201⩖⊿↹⩛-103503=↹⩛224320","layer":2},{"info":"NaN≁↹⩛224320=NaN","layer":1},{"info":"⫟↹⩛15010=↹⩛-44515","layer":3},{"info":"↹⩛50334↳≱↹⩛12142=↹⩛0","layer":3},{"info":"↹⩛-44515⋹⋡⊁↹⩛0=↹⩛2044534","layer":2},{"info":"⪛⨧↹⩛2044534=↹⩛4144205","layer":1},{"info":"NaN⩹↹⩛4144205=↹⩛4144203","layer":0}]} +{"id":56,"expression_no_base_symbol":"((⩩$1075$)⨫⇇↔$3480$⪝$1143$)⪪($4136$⨿$1016$⇯⋐)⩇∃⫛($2067$⫡⨏$1575$)⨐($5761$⨔⇊$2474$)∳⫺($2418$⋓$1019$)⊮⊟↴($7210$∇⊂⋱$3435$)","expression":"((⩩↹⩛4551)⨫⇇↔↹⩛24040⪝↹⩛5143)⪪(↹⩛31052⨿↹⩛4412⇯⋐)⩇∃⫛(↹⩛13323⫡⨏↹⩛11143)⨐(↹⩛42401⨔⇊↹⩛15242)∳⫺(↹⩛15110⋓↹⩛4415)⊮⊟↴(↹⩛53214∇⊂⋱↹⩛23523)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3179,"operation_count":14,"complexity_ratio":227.07142857142858,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1075,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3480,"base":6},"right_expr":{"type":"numeric_atoms","value":1143,"base":6}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4136,"base":6},"right_expr":{"type":"numeric_atoms","value":1016,"base":6}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2067,"base":6},"right_expr":{"type":"numeric_atoms","value":1575,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5761,"base":6},"right_expr":{"type":"numeric_atoms","value":2474,"base":6}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2418,"base":6},"right_expr":{"type":"numeric_atoms","value":1019,"base":6}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7210,"base":6},"right_expr":{"type":"numeric_atoms","value":3435,"base":6}}}}},"used_operators":["1aApVXNlOP","xD69zh8xqp","LXhwmt4mBO","kMhfGuqI2H","wicAB68Tmb","LkLIoiE525","abYXlopdE0","AzXXKTstlj","Noe24qw2ks","QMFrweE19q","JclMnS0uGI","QDVgd2eftb","T2fj7uvVaJ","nhYeJWJD5X"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","FU0Cs4j7VP","JclMnS0uGI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"↹⩛-44422","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=3480","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=1143, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-9747","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9747, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=4136","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=4136, right_input=1016, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=10","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=10, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"number node, value=2067","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1575, 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=14268","layer":3},{"info":"number node, value=5761","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=5761, right_input=2474, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2474","layer":3},{"info":"compute binary expreesion, left_input=14268, right_input=2474, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-28536","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1019, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=7210","layer":4},{"info":"number node, value=3435","layer":4},{"info":"compute binary expreesion, left_input=7210, right_input=3435, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13874","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13874, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-28536, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-114082","layer":1},{"info":"compute binary expreesion, left_input=-6206, right_input=-114082, 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=-6206","layer":0}],"base":6,"result_base":6,"text":"((⩩↹⩛4551)⨫⇇↔↹⩛24040⪝↹⩛5143)⪪(↹⩛31052⨿↹⩛4412⇯⋐)⩇∃⫛(↹⩛13323⫡⨏↹⩛11143)⨐(↹⩛42401⨔⇊↹⩛15242)∳⫺(↹⩛15110⋓↹⩛4415)⊮⊟↴(↹⩛53214∇⊂⋱↹⩛23523)=↹⩛-44422","reverse_text":"↹⩛-44422=((⩩↹⩛4551)⨫⇇↔↹⩛24040⪝↹⩛5143)⪪(↹⩛31052⨿↹⩛4412⇯⋐)⩇∃⫛(↹⩛13323⫡⨏↹⩛11143)⨐(↹⩛42401⨔⇊↹⩛15242)∳⫺(↹⩛15110⋓↹⩛4415)⊮⊟↴(↹⩛53214∇⊂⋱↹⩛23523)","cot":[{"info":"⩩↹⩛4551=NaN","layer":3},{"info":"↹⩛24040⪝↹⩛5143=↹⩛-113043","layer":3},{"info":"NaN⨫⇇↔↹⩛-113043=↹⩛-2235","layer":2},{"info":"↹⩛31052⨿↹⩛4412=↹⩛-1251","layer":3},{"info":"↹⩛-1251⇯⋐=↹⩛14","layer":2},{"info":"↹⩛-2235⪪↹⩛14=↹⩛-44422","layer":1},{"info":"↹⩛13323⫡⨏↹⩛11143=↹⩛150020","layer":3},{"info":"↹⩛42401⨔⇊↹⩛15242=↹⩛15242","layer":3},{"info":"↹⩛150020⨐↹⩛15242=↹⩛-340040","layer":2},{"info":"↹⩛15110⋓↹⩛4415=↹⩛0","layer":3},{"info":"↹⩛53214∇⊂⋱↹⩛23523=↹⩛144122","layer":3},{"info":"↹⩛0⊮⊟↴↹⩛144122=↹⩛0","layer":2},{"info":"↹⩛-340040∳⫺↹⩛0=↹⩛-2240054","layer":1},{"info":"↹⩛-44422⩇∃⫛↹⩛-2240054=↹⩛-44422","layer":0}]} +{"id":57,"expression_no_base_symbol":"(($1108$⫳≱↱$4712$)⪛⫼($1563$⩵∡$2606$)↙($3419$↳≱$4635$⫡⨏(⪓⩚$2386$)))⊹∫⫚((↪⫪⫘$4829$)≚⊃≕$6816$⫁$1253$⋻⩜⩜((-$4705$)↱$3915$⫢⨠$6226$))","expression":"((↹⩛5044⫳≱↱↹⩛33452)⪛⫼(↹⩛11123⩵∡↹⩛20022)↙(↹⩛23455↳≱↹⩛33243⫡⨏(⪓⩚↹⩛15014)))⊹∫⫚((↪⫪⫘↹⩛34205)≚⊃≕↹⩛51320⫁↹⩛5445⋻⩜⩜((-↹⩛33441)↱↹⩛30043⫢⨠↹⩛44454))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4619,"operation_count":15,"complexity_ratio":307.93333333333334,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1108,"base":6},"right_expr":{"type":"numeric_atoms","value":4712,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1563,"base":6},"right_expr":{"type":"numeric_atoms","value":2606,"base":6}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3419,"base":6},"right_expr":{"type":"numeric_atoms","value":4635,"base":6}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2386,"base":6}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4829,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6816,"base":6},"right_expr":{"type":"numeric_atoms","value":1253,"base":6}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4705,"base":6}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3915,"base":6},"right_expr":{"type":"numeric_atoms","value":6226,"base":6}}}}},"used_operators":["uWAJUKEvyW","yyfyN0ffXY","hyuBjUqXlG","ZvLB05nZmT","Y7wcNGrDQJ","QMFrweE19q","JwTKLfZU96","u0R0Locfp2","oDCm7WA9JY","Bmrmz2XGnR","9dWsAM3GFt","0ajvFaJAv0","SR5kFfdi6N","t8gj7n24qd","xlXykHWxX1"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","tmPS8pqC7x","DpFCA1CohY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","cHh1gJQ2o6","AHs5Up7iyr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"↹⩛-552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=4712, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1563","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2606, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-641","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-641, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1405","layer":2},{"info":"number node, value=3419","layer":4},{"info":"number node, value=4635","layer":4},{"info":"compute binary expreesion, left_input=3419, right_input=4635, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=426, 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=1635","layer":2},{"info":"compute binary expreesion, left_input=-1405, right_input=1635, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1405","layer":1},{"info":"number node, value=4829","layer":4},{"info":"compute unary expreesion, input=4829, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=6816","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=6816, right_input=1253, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=160, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3936","layer":2},{"info":"number node, value=4705","layer":4},{"info":"compute unary expreesion, input=4705, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4705","layer":3},{"info":"number node, value=3915","layer":4},{"info":"number node, value=6226","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=6226, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-4705, right_input=160, 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=16630","layer":2},{"info":"compute binary expreesion, left_input=-3936, right_input=16630, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=17668","layer":1},{"info":"compute binary expreesion, left_input=-1405, right_input=17668, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5044⫳≱↱↹⩛33452)⪛⫼(↹⩛11123⩵∡↹⩛20022)↙(↹⩛23455↳≱↹⩛33243⫡⨏(⪓⩚↹⩛15014)))⊹∫⫚((↪⫪⫘↹⩛34205)≚⊃≕↹⩛51320⫁↹⩛5445⋻⩜⩜((-↹⩛33441)↱↹⩛30043⫢⨠↹⩛44454))=↹⩛-552","reverse_text":"↹⩛-552=((↹⩛5044⫳≱↱↹⩛33452)⪛⫼(↹⩛11123⩵∡↹⩛20022)↙(↹⩛23455↳≱↹⩛33243⫡⨏(⪓⩚↹⩛15014)))⊹∫⫚((↪⫪⫘↹⩛34205)≚⊃≕↹⩛51320⫁↹⩛5445⋻⩜⩜((-↹⩛33441)↱↹⩛30043⫢⨠↹⩛44454))","cot":[{"info":"↹⩛5044⫳≱↱↹⩛33452=↹⩛-540","layer":3},{"info":"↹⩛11123⩵∡↹⩛20022=↹⩛-2545","layer":3},{"info":"↹⩛-540⪛⫼↹⩛-2545=↹⩛-10301","layer":2},{"info":"↹⩛23455↳≱↹⩛33243=↹⩛0","layer":3},{"info":"⪓⩚↹⩛15014=↹⩛1550","layer":3},{"info":"↹⩛0⫡⨏↹⩛1550=↹⩛11323","layer":2},{"info":"↹⩛-10301↙↹⩛11323=↹⩛-10301","layer":1},{"info":"↪⫪⫘↹⩛34205=↹⩛32","layer":3},{"info":"↹⩛51320⫁↹⩛5445=↹⩛424","layer":3},{"info":"↹⩛32≚⊃≕↹⩛424=↹⩛-30120","layer":2},{"info":"-↹⩛33441=↹⩛-33441","layer":3},{"info":"↹⩛30043⫢⨠↹⩛44454=↹⩛424","layer":3},{"info":"↹⩛-33441↱↹⩛424=↹⩛204554","layer":2},{"info":"↹⩛-30120⋻⩜⩜↹⩛204554=↹⩛213444","layer":1},{"info":"↹⩛-10301⊹∫⫚↹⩛213444=↹⩛-552","layer":0}]} +{"id":58,"expression_no_base_symbol":"((⋗⩴⪓$1152$)⫗⊷⫓($3245$⨥⫆$5662$)∲⫓$1374$⩌⋺$2212$⇌⫙⪟($1230$≀⩗∶$2271$))⩒⫫($4537$⊍⩺⋍$5988$)⩼⇪↪($6096$⋅⇍$1286$)⨚⇆($6065$⫁$1722$⊍⩺⋍(∟⋨$1374$))","expression":"((⋗⩴⪓↹⩛5200)⫗⊷⫓(↹⩛23005⨥⫆↹⩛42114)∲⫓↹⩛10210⩌⋺↹⩛14124⇌⫙⪟(↹⩛5410≀⩗∶↹⩛14303))⩒⫫(↹⩛33001⊍⩺⋍↹⩛43420)⩼⇪↪(↹⩛44120⋅⇍↹⩛5542)⨚⇆(↹⩛44025⫁↹⩛11550⊍⩺⋍(∟⋨↹⩛10210))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4063,"operation_count":15,"complexity_ratio":270.8666666666667,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1152,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3245,"base":6},"right_expr":{"type":"numeric_atoms","value":5662,"base":6}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1374,"base":6},"right_expr":{"type":"numeric_atoms","value":2212,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":2271,"base":6}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4537,"base":6},"right_expr":{"type":"numeric_atoms","value":5988,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6096,"base":6},"right_expr":{"type":"numeric_atoms","value":1286,"base":6}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6065,"base":6},"right_expr":{"type":"numeric_atoms","value":1722,"base":6}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1374,"base":6}}}}},"used_operators":["KFSx94NKJn","i8ToyICDmI","zashukvMKz","nOKPl9n5zu","yXekIHxTD4","AFVx7xoS7T","g7Hmc5v1ko","8INZBEW696","lwHaAYXP2r","ocnLzx9CaJ","OXDGMFPWZM","AdZkA7nFnk","0ajvFaJAv0","ctOc4cKSDt"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"compute unary expreesion, input=1152, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-239","layer":3},{"info":"number node, value=3245","layer":4},{"info":"number node, value=5662","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=5662, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=11200","layer":3},{"info":"compute binary expreesion, left_input=-239, right_input=11200, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1374","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=2212, 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=-3707","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2271, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-3707, right_input=-3, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=113, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-134","layer":1},{"info":"number node, value=4537","layer":4},{"info":"number node, value=5988","layer":4},{"info":"compute binary expreesion, left_input=4537, right_input=5988, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=6096","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=6096, right_input=1286, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=6065","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=6065, right_input=1722, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1374","layer":4},{"info":"compute unary expreesion, input=1374, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-890","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-890, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-134, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⋗⩴⪓↹⩛5200)⫗⊷⫓(↹⩛23005⨥⫆↹⩛42114)∲⫓↹⩛10210⩌⋺↹⩛14124⇌⫙⪟(↹⩛5410≀⩗∶↹⩛14303))⩒⫫(↹⩛33001⊍⩺⋍↹⩛43420)⩼⇪↪(↹⩛44120⋅⇍↹⩛5542)⨚⇆(↹⩛44025⫁↹⩛11550⊍⩺⋍(∟⋨↹⩛10210))=NaN","reverse_text":"NaN=((⋗⩴⪓↹⩛5200)⫗⊷⫓(↹⩛23005⨥⫆↹⩛42114)∲⫓↹⩛10210⩌⋺↹⩛14124⇌⫙⪟(↹⩛5410≀⩗∶↹⩛14303))⩒⫫(↹⩛33001⊍⩺⋍↹⩛43420)⩼⇪↪(↹⩛44120⋅⇍↹⩛5542)⨚⇆(↹⩛44025⫁↹⩛11550⊍⩺⋍(∟⋨↹⩛10210))","cot":[{"info":"⋗⩴⪓↹⩛5200=↹⩛-1035","layer":3},{"info":"↹⩛23005⨥⫆↹⩛42114=↹⩛123504","layer":3},{"info":"↹⩛-1035⫗⊷⫓↹⩛123504=↹⩛-342","layer":2},{"info":"↹⩛10210⩌⋺↹⩛14124=↹⩛-25055","layer":3},{"info":"↹⩛5410≀⩗∶↹⩛14303=↹⩛-3","layer":3},{"info":"↹⩛-25055⇌⫙⪟↹⩛-3=↹⩛305","layer":2},{"info":"↹⩛-342∲⫓↹⩛305=↹⩛-342","layer":1},{"info":"↹⩛33001⊍⩺⋍↹⩛43420=NaN","layer":3},{"info":"↹⩛44120⋅⇍↹⩛5542=↹⩛-34","layer":3},{"info":"NaN⩼⇪↪↹⩛-34=NaN","layer":2},{"info":"↹⩛44025⫁↹⩛11550=↹⩛424","layer":3},{"info":"∟⋨↹⩛10210=↹⩛-4042","layer":3},{"info":"↹⩛424⊍⩺⋍↹⩛-4042=NaN","layer":2},{"info":"NaN⨚⇆NaN=NaN","layer":1},{"info":"↹⩛-342⩒⫫NaN=NaN","layer":0}]} +{"id":59,"expression_no_base_symbol":"(⨈⪑($4344$⋳⪒$4839$⫡⨏$1538$⊬⨰$1039$))⨹","expression":"(⨈⪑(↹⩛32040⋳⪒↹⩛34223⫡⨏↹⩛11042⊬⨰↹⩛4451))⨹","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3315,"operation_count":5,"complexity_ratio":663.0,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4344,"base":6},"right_expr":{"type":"numeric_atoms","value":4839,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1538,"base":6},"right_expr":{"type":"numeric_atoms","value":1039,"base":6}}}}},"used_operators":["UnCoSGIALn","mp94q5OcYM","QMFrweE19q","12rbrZMWeM","s3Fd5m9Dh2"],"dependent_operators":["mp7IySMOzn","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛12012","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4344","layer":4},{"info":"number node, value=4839","layer":4},{"info":"compute binary expreesion, left_input=4344, right_input=4839, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3562","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=1039, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4638","layer":3},{"info":"compute binary expreesion, left_input=3562, right_input=4638, 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=27869","layer":2},{"info":"compute unary expreesion, input=27869, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=1736","layer":0}],"base":6,"result_base":6,"text":"(⨈⪑(↹⩛32040⋳⪒↹⩛34223⫡⨏↹⩛11042⊬⨰↹⩛4451))⨹=↹⩛12012","reverse_text":"↹⩛12012=(⨈⪑(↹⩛32040⋳⪒↹⩛34223⫡⨏↹⩛11042⊬⨰↹⩛4451))⨹","cot":[{"info":"↹⩛32040⋳⪒↹⩛34223=↹⩛24254","layer":3},{"info":"↹⩛11042⊬⨰↹⩛4451=↹⩛33250","layer":3},{"info":"↹⩛24254⫡⨏↹⩛33250=↹⩛333005","layer":2},{"info":"⨈⪑↹⩛333005=↹⩛4004","layer":1},{"info":"↹⩛4004⨹=↹⩛12012","layer":0}]} +{"id":60,"expression_no_base_symbol":"⇙⪊(($4032$∛$1017$↺$6512$⇤$1728$)⨘⋶⪀)","expression":"⇙⪊((↹⩛30400∛↹⩛4413↺↹⩛50052⇤↹⩛12000)⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":174,"operation_count":5,"complexity_ratio":34.8,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4032,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6512,"base":6},"right_expr":{"type":"numeric_atoms","value":1728,"base":6}}}}},"used_operators":["pB6Fcnrjim","XVKwrhznBb","7j4O788W3g","w2537kitQq","YSKBFp38Pu"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4032","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=1017, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=6512","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=6512, right_input=1728, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-38352","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-38352, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-38352","layer":2},{"info":"compute unary expreesion, input=-38352, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇙⪊((↹⩛30400∛↹⩛4413↺↹⩛50052⇤↹⩛12000)⨘⋶⪀)=NaN","reverse_text":"NaN=⇙⪊((↹⩛30400∛↹⩛4413↺↹⩛50052⇤↹⩛12000)⨘⋶⪀)","cot":[{"info":"↹⩛30400∛↹⩛4413=↹⩛151","layer":3},{"info":"↹⩛50052⇤↹⩛12000=↹⩛-453320","layer":3},{"info":"↹⩛151↺↹⩛-453320=↹⩛-453320","layer":2},{"info":"↹⩛-453320⨘⋶⪀=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]} +{"id":61,"expression_no_base_symbol":"(($4977$⨼⩣$2680$⪒(≛$3802$))-($8239$⪎↠$1979$⇆⨓≜))∇⊂⋱(↯⪼($1720$+⇶⊼$1094$)≌($3734$⊴$8868$))","expression":"((↹⩛35013⨼⩣↹⩛20224⪒(≛↹⩛25334))-(↹⩛102051⪎↠↹⩛13055⇆⨓≜))∇⊂⋱(↯⪼(↹⩛11544+⇶⊼↹⩛5022)≌(↹⩛25142⊴↹⩛105020))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9585,"operation_count":11,"complexity_ratio":871.3636363636364,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4977,"base":6},"right_expr":{"type":"numeric_atoms","value":2680,"base":6}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3802,"base":6}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":8239,"base":6},"right_expr":{"type":"numeric_atoms","value":1979,"base":6}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1720,"base":6},"right_expr":{"type":"numeric_atoms","value":1094,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3734,"base":6},"right_expr":{"type":"numeric_atoms","value":8868,"base":6}}}}},"used_operators":["nhYeJWJD5X","rysDP5nf3Z","f6k1SAg4EE","JxwMv5le6e","W7eaUhjymW","KvvgdUaMHJ","3tVxb0NHM4","8jW3W4yZS5","lyWz822IDG","TpPTUOHfaN","Nsiff2A1zJ"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","Uaa54Peajs","KYD54nUTWz","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4977","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=4977, right_input=2680, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3802","layer":4},{"info":"compute unary expreesion, input=3802, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=8239","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=8239, right_input=1979, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1094, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3734","layer":4},{"info":"number node, value=8868","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=8868, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=nan, right_input=-21, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛35013⨼⩣↹⩛20224⪒(≛↹⩛25334))-(↹⩛102051⪎↠↹⩛13055⇆⨓≜))∇⊂⋱(↯⪼(↹⩛11544+⇶⊼↹⩛5022)≌(↹⩛25142⊴↹⩛105020))=NaN","reverse_text":"NaN=((↹⩛35013⨼⩣↹⩛20224⪒(≛↹⩛25334))-(↹⩛102051⪎↠↹⩛13055⇆⨓≜))∇⊂⋱(↯⪼(↹⩛11544+⇶⊼↹⩛5022)≌(↹⩛25142⊴↹⩛105020))","cot":[{"info":"↹⩛35013⨼⩣↹⩛20224=NaN","layer":3},{"info":"≛↹���25334=↹⩛-14","layer":3},{"info":"NaN⪒↹⩛-14=NaN","layer":2},{"info":"↹⩛102051⪎↠↹⩛13055=↹⩛424","layer":3},{"info":"↹⩛424⇆⨓≜=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"↹⩛11544+⇶⊼↹⩛5022=NaN","layer":3},{"info":"↹⩛25142⊴↹⩛105020=NaN","layer":3},{"info":"NaN≌NaN=NaN","layer":2},{"info":"↯⪼NaN=↹⩛-33","layer":1},{"info":"NaN∇⊂⋱↹⩛-33=NaN","layer":0}]} +{"id":62,"expression_no_base_symbol":"(⊽($5792$∣$1074$∠⫱$2604$⋕⪉⪜$2611$))⨰((⊖$5729$)⊭↱(≸≮$5029$)⊉≛↸(⨵≀≌$1428$≥⨤⩑$2351$))","expression":"(⊽(↹⩛42452∣↹⩛4550∠⫱↹⩛20020⋕⪉⪜↹⩛20031))⨰((⊖↹⩛42305)⊭↱(≸≮↹⩛35141)⊉≛↸(⨵≀≌↹⩛10340≥⨤⩑↹⩛14515))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16680,"operation_count":11,"complexity_ratio":1516.3636363636363,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5792,"base":6},"right_expr":{"type":"numeric_atoms","value":1074,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2604,"base":6},"right_expr":{"type":"numeric_atoms","value":2611,"base":6}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":5729,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":5029,"base":6}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1428,"base":6},"right_expr":{"type":"numeric_atoms","value":2351,"base":6}}}}},"used_operators":["eewbuw0ToL","QxG7OkqoLX","QvoQhV0rrE","PPChnnnBFF","z6LnFrNh4i","DZ8iAZOCBD","COABgblf1C","U6pG0PXrV3","AljMvE3RRm","srAu1WTS94","gJLn6v0xnP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5792","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=5792, right_input=1074, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5792","layer":3},{"info":"number node, value=2604","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=2604, right_input=2611, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=5792, right_input=2802, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3990","layer":1},{"info":"number node, value=5729","layer":4},{"info":"compute unary expreesion, input=5729, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=5029","layer":4},{"info":"compute unary expreesion, input=5029, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=2351, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3702","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3702, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3990, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊽(↹⩛42452∣↹⩛4550∠⫱↹⩛20020⋕⪉⪜↹⩛20031))⨰((⊖↹⩛42305)⊭↱(≸≮↹⩛35141)⊉≛↸(⨵≀≌↹⩛10340≥⨤⩑↹⩛14515))=NaN","reverse_text":"NaN=(⊽(↹⩛42452∣↹⩛4550∠⫱↹⩛20020⋕⪉⪜↹⩛20031))⨰((⊖↹⩛42305)⊭↱(≸≮↹⩛35141)⊉≛↸(⨵≀≌↹⩛10340≥⨤⩑↹⩛14515))","cot":[{"info":"↹⩛42452∣↹⩛4550=↹⩛42452","layer":3},{"info":"↹⩛20020⋕⪉⪜↹⩛20031=↹⩛20550","layer":3},{"info":"↹⩛42452∠⫱↹⩛20550=↹⩛5414","layer":2},{"info":"⊽↹⩛5414=↹⩛30250","layer":1},{"info":"⊖↹⩛42305=↹⩛0","layer":3},{"info":"≸≮↹⩛35141=NaN","layer":3},{"info":"↹⩛0⊭↱NaN=NaN","layer":2},{"info":"↹⩛10340≥⨤⩑↹⩛14515=↹⩛5414","layer":3},{"info":"⨵≀≌↹⩛5414=↹⩛-25050","layer":2},{"info":"NaN⊉≛↸↹⩛-25050=NaN","layer":1},{"info":"↹⩛30250⨰NaN=NaN","layer":0}]} +{"id":63,"expression_no_base_symbol":"(($8108$⨳⩥⨓$2005$⨳⩥⨓$1456$⋥⋵⩄$4436$)⩌⋺(⩪∧⨌(⨵≀≌$7325$)))⇤($2366$∛$7019$⪢$1075$≝⊿$1739$*($3564$⩖⊿$1143$⊾⪯⋞$1552$⊱⇼⊻$2709$))","expression":"((↹⩛101312⨳⩥⨓↹⩛13141⨳⩥⨓↹⩛10424⋥⋵⩄↹⩛32312)⩌⋺(⩪∧⨌(⨵≀≌↹⩛53525)))⇤(↹⩛14542∛↹⩛52255⪢↹⩛4551≝⊿↹⩛12015*(↹⩛24300⩖⊿↹⩛5143⊾⪯⋞↹⩛11104⊱⇼⊻↹⩛20313))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5355,"operation_count":14,"complexity_ratio":382.5,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8108,"base":6},"right_expr":{"type":"numeric_atoms","value":2005,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1456,"base":6},"right_expr":{"type":"numeric_atoms","value":4436,"base":6}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7325,"base":6}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2366,"base":6},"right_expr":{"type":"numeric_atoms","value":7019,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1075,"base":6},"right_expr":{"type":"numeric_atoms","value":1739,"base":6}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3564,"base":6},"right_expr":{"type":"numeric_atoms","value":1143,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1552,"base":6},"right_expr":{"type":"numeric_atoms","value":2709,"base":6}}}}},"used_operators":["YSKBFp38Pu","g7Hmc5v1ko","nCS4ZIUYfx","7t3wd0Fuz7","6iOiAJX1F8","srAu1WTS94","9HNa5Wba9A","dWAJyo7jo9","w2537kitQq","OKKcZfAt5B","HK0tfVPux8","RZ5CV9rWsJ","FyVja0WsTP"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","12rbrZMWeM","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8108","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=8108, right_input=2005, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6103","layer":3},{"info":"number node, value=1456","layer":4},{"info":"number node, value=4436","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=4436, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-6103, right_input=113, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6216","layer":2},{"info":"number node, value=7325","layer":4},{"info":"compute unary expreesion, input=7325, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-21975","layer":3},{"info":"compute unary expreesion, input=-21975, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-219750","layer":2},{"info":"compute binary expreesion, left_input=6216, right_input=-219750, 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=213413","layer":1},{"info":"number node, value=2366","layer":4},{"info":"number node, value=7019","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=7019, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1739, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5086","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-5086, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3564","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=1143, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-5194","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=2709, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-5194, right_input=434, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-818, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=213413, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛101312⨳⩥⨓↹⩛13141⨳⩥⨓↹⩛10424⋥⋵⩄↹⩛32312)⩌⋺(⩪∧⨌(⨵≀≌↹⩛53525)))⇤(↹⩛14542∛↹⩛52255⪢↹⩛4551≝⊿↹⩛12015*(↹⩛24300⩖⊿↹⩛5143⊾⪯⋞↹⩛11104⊱⇼⊻↹⩛20313))=NaN","reverse_text":"NaN=((↹⩛101312⨳⩥⨓↹⩛13141⨳⩥⨓↹⩛10424⋥⋵⩄↹⩛32312)⩌⋺(⩪∧⨌(⨵≀≌↹⩛53525)))⇤(↹⩛14542∛↹⩛52255⪢↹⩛4551≝⊿↹⩛12015*(↹⩛24300⩖⊿↹⩛5143⊾⪯⋞↹⩛11104⊱⇼⊻↹⩛20313))","cot":[{"info":"↹⩛101312⨳⩥⨓↹⩛13141=↹⩛-44131","layer":3},{"info":"↹⩛10424⋥⋵⩄↹⩛32312=↹⩛305","layer":3},{"info":"↹⩛-44131⨳⩥⨓↹⩛305=↹⩛44440","layer":2},{"info":"⨵≀≌↹⩛53525=↹⩛-245423","layer":3},{"info":"⩪∧⨌↹⩛-245423=↹⩛-4413210","layer":2},{"info":"↹⩛44440⩌⋺↹⩛-4413210=↹⩛4324005","layer":1},{"info":"↹⩛14542∛↹⩛52255=↹⩛-3034","layer":3},{"info":"↹⩛4551≝⊿↹⩛12015=↹⩛-35314","layer":3},{"info":"↹⩛-3034⪢↹⩛-35314=NaN","layer":2},{"info":"↹⩛24300⩖⊿↹⩛5143=↹⩛-40014","layer":3},{"info":"↹⩛11104⊱⇼⊻↹⩛20313=↹⩛2002","layer":3},{"info":"↹⩛-40014⊾⪯⋞↹⩛2002=↹⩛-3442","layer":2},{"info":"NaN*↹⩛-3442=NaN","layer":1},{"info":"↹⩛4324005⇤NaN=NaN","layer":0}]} +{"id":64,"expression_no_base_symbol":"((($3236$⫸⊐$1141$)∀⊥⇻)∀⊥⇻)⪛($1007$⪟⇏$4569$)⪝($4000$∪⫐$4048$)∊∟⩊(($1297$⊫∞)⊝)","expression":"(((↹⩛22552⫸⊐↹⩛5141)∀⊥⇻)∀⊥⇻)⪛(↹⩛4355⪟⇏↹⩛33053)⪝(↹⩛30304∪⫐↹⩛30424)∊∟⩊((↹⩛10001⊫∞)⊝)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23679,"operation_count":10,"complexity_ratio":2367.9,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3236,"base":6},"right_expr":{"type":"numeric_atoms","value":1141,"base":6}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1007,"base":6},"right_expr":{"type":"numeric_atoms","value":4569,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4000,"base":6},"right_expr":{"type":"numeric_atoms","value":4048,"base":6}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1297,"base":6}}}}},"used_operators":["uFcxV4UQCh","k4iM1060OG","mqXw5SEYmG","ddLRYrp01A","wicAB68Tmb","GODebY97qR","7YooWSwCyH","O6EZ0fifGK","pABnYW3G3E"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rJVOvQCfKK","2DDjHMKMc0","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3236","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=1141, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4439","layer":3},{"info":"compute unary expreesion, input=4439, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"number node, value=1007","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=4569, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4000","layer":4},{"info":"number node, value=4048","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=4048, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4000","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=4000, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=237, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=33","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=33, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛22552⫸⊐↹⩛5141)∀⊥⇻)∀⊥⇻)⪛(↹⩛4355⪟⇏↹⩛33053)⪝(↹⩛30304∪⫐↹⩛30424)∊∟⩊((↹⩛10001⊫∞)⊝)=↹⩛0","reverse_text":"↹⩛0=(((↹⩛22552⫸⊐↹⩛5141)∀⊥⇻)∀⊥⇻)⪛(↹⩛4355⪟⇏↹⩛33053)⪝(↹⩛30304∪⫐↹⩛30424)∊∟⩊((↹⩛10001⊫∞)⊝)","cot":[{"info":"↹⩛22552⫸⊐↹⩛5141=↹⩛32315","layer":3},{"info":"↹⩛32315∀⊥⇻=↹⩛0","layer":2},{"info":"↹⩛0∀⊥⇻=↹⩛0","layer":1},{"info":"↹⩛4355⪟⇏↹⩛33053=↹⩛-1","layer":3},{"info":"↹⩛30304∪⫐↹⩛30424=↹⩛30304","layer":3},{"info":"↹⩛-1⪝↹⩛30304=↹⩛1033","layer":2},{"info":"↹⩛10001⊫∞=↹⩛0","layer":3},{"info":"↹⩛0⊝=↹⩛0","layer":2},{"info":"↹⩛1033∊∟⩊↹⩛0=↹⩛53","layer":1},{"info":"↹⩛0⪛↹⩛53=↹⩛0","layer":0}]} +{"id":65,"expression_no_base_symbol":"($1463$⪃⊛⇣$4456$⋩≍≻)⫥∨⫟($2743$∀⇚≩$3943$)⪎↠($1141$≫≃)⫚↹⊑(($6744$⨘⋶⪀)⫡⨏($5478$∀⋜↑))⩣⫁∢(($4026$⨪↰⇹$3391$)⫩)","expression":"(↹⩛10435⪃⊛⇣↹⩛32344⋩≍≻)⫥∨⫟(↹⩛20411∀⇚≩↹⩛30131)⪎↠(↹⩛5141≫≃)⫚↹⊑((↹⩛51120⨘⋶⪀)⫡⨏(↹⩛41210∀⋜↑))⩣⫁∢((↹⩛30350⨪↰⇹↹⩛23411)⫩)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28132,"operation_count":13,"complexity_ratio":2164.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1463,"base":6},"right_expr":{"type":"numeric_atoms","value":4456,"base":6}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2743,"base":6},"right_expr":{"type":"numeric_atoms","value":3943,"base":6}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1141,"base":6}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":6744,"base":6}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":5478,"base":6}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4026,"base":6},"right_expr":{"type":"numeric_atoms","value":3391,"base":6}}}}},"used_operators":["dfKe02y8D2","KYD54nUTWz","WYd1w68Nbz","rrgAzCduG9","3tVxb0NHM4","LRNGc0VcxI","X99M06cbEe","JDUIKTTSIa","QMFrweE19q","XVKwrhznBb","KipPnG1M2J","6aG7x05OhS","tmPS8pqC7x"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","X99M06cbEe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","dWAJyo7jo9","rJVOvQCfKK"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=4456, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":2},{"info":"number node, value=2743","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=3943, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3683","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3683, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6744","layer":4},{"info":"compute unary expreesion, input=6744, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=5478","layer":4},{"info":"compute unary expreesion, input=5478, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=4026","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=3391, 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=4026","layer":3},{"info":"compute unary expreesion, input=4026, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10435⪃⊛⇣↹⩛32344⋩≍≻)⫥∨⫟(↹⩛20411∀⇚≩↹⩛30131)⪎↠(↹⩛5141≫≃)⫚↹⊑((↹⩛51120⨘⋶⪀)⫡⨏(↹⩛41210∀⋜↑))⩣⫁∢((↹⩛30350⨪↰⇹↹⩛23411)⫩)=↹⩛-2023","reverse_text":"↹⩛-2023=(↹⩛10435⪃⊛⇣↹⩛32344⋩≍≻)⫥∨⫟(↹⩛20411∀⇚≩↹⩛30131)⪎↠(↹⩛5141≫≃)⫚↹⊑((↹⩛51120⨘⋶⪀)⫡⨏(↹⩛41210∀⋜↑))⩣⫁∢((↹⩛30350⨪↰⇹↹⩛23411)⫩)","cot":[{"info":"↹⩛10435⪃⊛⇣↹⩛32344=↹⩛5414","layer":3},{"info":"↹⩛5414⋩≍≻=↹⩛-131","layer":2},{"info":"↹⩛20411∀⇚≩↹⩛30131=NaN","layer":3},{"info":"↹⩛5141≫≃=↹⩛25015","layer":3},{"info":"NaN⪎↠↹⩛25015=NaN","layer":2},{"info":"↹⩛-131⫥∨⫟NaN=NaN","layer":1},{"info":"↹⩛51120⨘⋶⪀=NaN","layer":3},{"info":"↹⩛41210∀⋜↑=↹⩛-2124","layer":3},{"info":"NaN⫡⨏↹⩛-2124=NaN","layer":2},{"info":"↹⩛30350⨪↰⇹↹⩛23411=↹⩛30350","layer":3},{"info":"↹⩛30350⫩=NaN","layer":2},{"info":"NaN⩣⫁∢NaN=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=↹⩛-2023","layer":0}]} +{"id":66,"expression_no_base_symbol":"((($1932$⫲)*(↨$1404$))⊔$3849$↞⋁$4492$+⪬∐($2683$→⨶⪴$7617$))⨜⨶(↥≼⋛($1260$⊬⨰$4513$⪥⨬⪅))","expression":"(((↹⩛12540⫲)*(↨↹⩛10300))⊔↹⩛25453↞⋁↹⩛32444+⪬∐(↹⩛20231→⨶⪴↹⩛55133))⨜⨶(↥≼⋛(↹⩛5500⊬⨰↹⩛32521⪥⨬⪅))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":514,"operation_count":11,"complexity_ratio":46.72727272727273,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1932,"base":6}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1404,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3849,"base":6},"right_expr":{"type":"numeric_atoms","value":4492,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2683,"base":6},"right_expr":{"type":"numeric_atoms","value":7617,"base":6}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1260,"base":6},"right_expr":{"type":"numeric_atoms","value":4513,"base":6}}}}},"used_operators":["HiPekx5b7W","E4l6HwMY31","9HNa5Wba9A","9xnGDUPbC6","jiX4gk2v2Q","2GS7woTJqF","RqrPlJkxDo","bF6eod5Gvf","x5lMkHmzsq","zNRQejTB5A","s3Fd5m9Dh2"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rGHVDoGpnC","oZj3VtZNQx","g55IO6H4Gj","D4vGDi5EA2","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1659","layer":3},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1659, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3849","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=4492, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=7617","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=7617, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22851","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22851, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=1260","layer":4},{"info":"number node, value=4513","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=4513, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=18256","layer":3},{"info":"compute unary expreesion, input=18256, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-440","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-440, 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":6,"result_base":6,"text":"(((↹⩛12540⫲)*(↨↹⩛10300))⊔↹⩛25453↞⋁↹⩛32444+⪬∐(↹⩛20231→⨶⪴↹⩛55133))⨜⨶(↥≼⋛(↹⩛5500⊬⨰↹⩛32521⪥⨬⪅))=NaN","reverse_text":"NaN=(((↹⩛12540⫲)*(↨↹⩛10300))⊔↹⩛25453↞⋁↹⩛32444+⪬∐(↹⩛20231→⨶⪴↹⩛55133))⨜⨶(↥≼⋛(↹⩛5500⊬⨰↹⩛32521⪥⨬⪅))","cot":[{"info":"↹⩛12540⫲=↹⩛11403","layer":3},{"info":"↨↹⩛10300=NaN","layer":3},{"info":"↹⩛11403*NaN=NaN","layer":2},{"info":"↹⩛25453↞⋁↹⩛32444=NaN","layer":3},{"info":"↹⩛20231→⨶⪴↹⩛55133=↹⩛-253443","layer":3},{"info":"NaN+⪬∐↹⩛-253443=NaN","layer":2},{"info":"NaN⊔NaN=NaN","layer":1},{"info":"↹⩛5500⊬⨰↹⩛32521=↹⩛220304","layer":3},{"info":"↹⩛220304⪥⨬⪅=↹⩛-2105","layer":2},{"info":"↥≼⋛↹⩛-2105=↹⩛-2012","layer":1},{"info":"NaN⨜⨶↹⩛-2012=NaN","layer":0}]} +{"id":67,"expression_no_base_symbol":"(↨⩢⫨($1404$⪭$1085$))⪡($2222$⪡$8858$⊿∆)⇄($4690$⨜⨶$2866$⇄$1266$⩦$1918$)↳∿⪆((≘$1409$)⪄$3986$⫘$1724$)","expression":"(↨⩢⫨(↹⩛10300⪭↹⩛5005))⪡(↹⩛14142⪡↹⩛105002⊿∆)⇄(↹⩛33414⨜⨶↹⩛21134⇄↹⩛5510⩦↹⩛12514)↳∿⪆((≘↹⩛10305)⪄↹⩛30242⫘↹⩛11552)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9393149,"operation_count":13,"complexity_ratio":722549.9230769231,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1404,"base":6},"right_expr":{"type":"numeric_atoms","value":1085,"base":6}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2222,"base":6},"right_expr":{"type":"numeric_atoms","value":8858,"base":6}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4690,"base":6},"right_expr":{"type":"numeric_atoms","value":2866,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1266,"base":6},"right_expr":{"type":"numeric_atoms","value":1918,"base":6}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1409,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3986,"base":6},"right_expr":{"type":"numeric_atoms","value":1724,"base":6}}}}},"used_operators":["3EYGwJThht","oraRL2iQuh","Z5CJsN7DuW","j9kHMeSvPp","fv3ZujxkQL","Cw4SuJJGHO","HiPekx5b7W","0kmYd0q39Y","SUmda5xLS4","tcjXMdvYtA","48vC8HMD2b"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","COABgblf1C","xUOZtlo3hN","NTOWxs364D","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1085, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=2222","layer":4},{"info":"number node, value=8858","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=8858, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-335","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-335, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":1},{"info":"number node, value=4690","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=4690, right_input=2866, 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=-5476","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1918, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2532","layer":3},{"info":"compute binary expreesion, left_input=-5476, right_input=2532, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2048","layer":2},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3107629","layer":3},{"info":"number node, value=3986","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=1724, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4691941","layer":3},{"info":"compute binary expreesion, left_input=3107629, right_input=4691941, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-478692945","layer":2},{"info":"compute binary expreesion, left_input=-2048, right_input=-478692945, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1936, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↨⩢⫨(↹⩛10300⪭↹⩛5005))⪡(↹⩛14142⪡↹⩛105002⊿∆)⇄(↹⩛33414⨜⨶↹⩛21134⇄↹⩛5510⩦↹⩛12514)↳∿⪆((≘↹⩛10305)⪄↹⩛30242⫘↹⩛11552)=NaN","reverse_text":"NaN=(↨⩢⫨(↹⩛10300⪭↹⩛5005))⪡(↹⩛14142⪡↹⩛105002⊿∆)⇄(↹⩛33414⨜⨶↹⩛21134⇄↹⩛5510⩦↹⩛12514)↳∿⪆((≘↹⩛10305)⪄↹⩛30242⫘↹⩛11552)","cot":[{"info":"↹⩛10300⪭↹⩛5005=↹⩛5","layer":3},{"info":"↨⩢⫨↹⩛5=↹⩛0","layer":2},{"info":"↹⩛14142⪡↹⩛105002=↹⩛255","layer":3},{"info":"↹⩛255⊿∆=↹⩛-1315","layer":2},{"info":"↹⩛0⪡↹⩛-1315=↹⩛-12544","layer":1},{"info":"↹⩛33414⨜⨶↹⩛21134=↹⩛-41204","layer":3},{"info":"↹⩛5510⩦↹⩛12514=↹⩛15420","layer":3},{"info":"↹⩛-41204⇄↹⩛15420=↹⩛-13252","layer":2},{"info":"≘↹⩛10305=↹⩛150335101","layer":3},{"info":"↹⩛30242⫘↹⩛11552=↹⩛244321541","layer":3},{"info":"↹⩛150335101⪄↹⩛244321541=↹⩛-115300015013","layer":2},{"info":"↹⩛-13252↳∿⪆↹⩛-115300015013=NaN","layer":1},{"info":"↹⩛-12544⇄NaN=NaN","layer":0}]} +{"id":68,"expression_no_base_symbol":"($4198$⋣⋖$1836$⪛⫼($3555$⨑≵⋬$2965$))⩍⋽⫝̸(⫎≠⋺$6456$)⩣⫁∢($1734$⨓$5768$)⊔($1229$∌$1391$+$1007$⫁⪎$2149$+($2775$↢$1186$)≁($8942$∪⫐$7469$))","expression":"(↹⩛31234⋣⋖↹⩛12300⪛⫼(↹⩛24243⨑≵⋬↹⩛21421))⩍⋽⫝̸(⫎≠⋺↹⩛45520)⩣⫁∢(↹⩛12010⨓↹⩛42412)⊔(↹⩛5405∌↹⩛10235+↹⩛4355⫁⪎↹⩛13541+(↹⩛20503↢↹⩛5254)≁(↹⩛105222∪⫐↹⩛54325))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6120,"operation_count":15,"complexity_ratio":408.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4198,"base":6},"right_expr":{"type":"numeric_atoms","value":1836,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3555,"base":6},"right_expr":{"type":"numeric_atoms","value":2965,"base":6}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":6456,"base":6}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1734,"base":6},"right_expr":{"type":"numeric_atoms","value":5768,"base":6}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1229,"base":6},"right_expr":{"type":"numeric_atoms","value":1391,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1007,"base":6},"right_expr":{"type":"numeric_atoms","value":2149,"base":6}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2775,"base":6},"right_expr":{"type":"numeric_atoms","value":1186,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":8942,"base":6},"right_expr":{"type":"numeric_atoms","value":7469,"base":6}}}}},"used_operators":["E4l6HwMY31","BiWNJpBvwn","hyuBjUqXlG","J0M6qkBnIM","XnXgA4xnOs","JDUIKTTSIa","LYeZOJ0nQG","3ViojmjbAp","W4YGzv6Whe","8cLx32lpNA","xRrnTEsQ6j","8N2wDY1A35","WR6HLWljOP","7YooWSwCyH"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0"],"result":"↹⩛20441024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4198","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=1836, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4198","layer":3},{"info":"number node, value=3555","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=2965, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1601","layer":3},{"info":"compute binary expreesion, left_input=4198, right_input=-1601, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1153","layer":2},{"info":"number node, value=6456","layer":4},{"info":"compute unary expreesion, input=6456, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1734","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=5768, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5771","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5771, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":2},{"info":"compute binary expreesion, left_input=-1153, right_input=161, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-370","layer":1},{"info":"number node, value=1229","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=1391, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1391","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2149, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1142","layer":3},{"info":"compute binary expreesion, left_input=-1391, right_input=-1142, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2533","layer":2},{"info":"number node, value=2775","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=1186, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2291","layer":3},{"info":"number node, value=8942","layer":4},{"info":"number node, value=7469","layer":4},{"info":"compute binary expreesion, left_input=8942, right_input=7469, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=8942","layer":3},{"info":"compute binary expreesion, left_input=2291, right_input=8942, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=201407","layer":2},{"info":"compute binary expreesion, left_input=-2533, right_input=201407, op_id = W4YGzv6Whe binary_op_definition= 'None', output=198874","layer":1},{"info":"compute binary expreesion, left_input=-370, right_input=198874, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=596392","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31234⋣⋖↹⩛12300⪛⫼(↹⩛24243⨑≵⋬↹⩛21421))⩍⋽⫝̸(⫎≠⋺↹⩛45520)⩣⫁∢(↹⩛12010⨓↹⩛42412)⊔(↹⩛5405∌↹⩛10235+↹⩛4355⫁⪎↹⩛13541+(↹⩛20503↢↹⩛5254)≁(↹⩛105222∪⫐↹⩛54325))=↹⩛20441024","reverse_text":"↹⩛20441024=(↹⩛31234⋣⋖↹⩛12300⪛⫼(↹⩛24243⨑≵⋬↹⩛21421))⩍⋽⫝̸(⫎≠⋺↹⩛45520)⩣⫁∢(↹⩛12010⨓↹⩛42412)⊔(↹⩛5405∌↹⩛10235+↹⩛4355⫁⪎↹⩛13541+(↹⩛20503↢↹⩛5254)≁(↹⩛105222∪⫐↹⩛54325))","cot":[{"info":"↹⩛31234⋣⋖↹⩛12300=↹⩛31234","layer":3},{"info":"↹⩛24243⨑≵⋬↹⩛21421=↹⩛-11225","layer":3},{"info":"↹⩛31234⪛⫼↹⩛-11225=↹⩛-5201","layer":2},{"info":"⫎≠⋺↹⩛45520=↹⩛0","layer":3},{"info":"↹⩛12010⨓↹⩛42412=↹⩛-42415","layer":3},{"info":"↹⩛0⩣⫁∢↹⩛-42415=↹⩛425","layer":2},{"info":"↹⩛-5201⩍⋽⫝̸↹⩛425=↹⩛-1414","layer":1},{"info":"↹⩛5405∌↹⩛10235=↹⩛-10235","layer":3},{"info":"↹⩛4355⫁⪎↹⩛13541=↹⩛-5142","layer":3},{"info":"↹⩛-10235+↹⩛-5142=↹⩛-15421","layer":2},{"info":"↹⩛20503↢↹⩛5254=↹⩛14335","layer":3},{"info":"↹⩛105222∪⫐↹⩛54325=↹⩛105222","layer":3},{"info":"↹⩛14335≁↹⩛105222=↹⩛4152235","layer":2},{"info":"↹⩛-15421+↹⩛4152235=↹⩛4132414","layer":1},{"info":"↹⩛-1414⊔↹⩛4132414=↹⩛20441024","layer":0}]} +{"id":69,"expression_no_base_symbol":"(⨦⪝((⋗⩬⋾$1093$)⩘))⊱⇼⊻(≦∁($1036$⫢⨠$2494$∽$5029$↙$5296$))","expression":"(⨦⪝((⋗⩬⋾↹⩛5021)⩘))⊱⇼⊻(≦∁(↹⩛4444⫢⨠↹⩛15314∽↹⩛35141↙↹⩛40304))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6088,"operation_count":8,"complexity_ratio":761.0,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1093,"base":6}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1036,"base":6},"right_expr":{"type":"numeric_atoms","value":2494,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5029,"base":6},"right_expr":{"type":"numeric_atoms","value":5296,"base":6}}}}},"used_operators":["FyVja0WsTP","SUjycxNXIR","wvHyciQT5X","DpFCA1CohY","9ICcGScMcE","y4ImoPnbV5","xlXykHWxX1","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9ICcGScMcE","dfKe02y8D2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","NTOWxs364D","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛55500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3279","layer":3},{"info":"compute unary expreesion, input=-3279, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, 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=1036","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2494, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=5029","layer":4},{"info":"number node, value=5296","layer":4},{"info":"compute binary expreesion, left_input=5029, right_input=5296, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15888","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-15888, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=47042","layer":2},{"info":"compute unary expreesion, input=47042, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=47042","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=47042, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7740","layer":0}],"base":6,"result_base":6,"text":"(⨦⪝((⋗⩬⋾↹⩛5021)⩘))⊱⇼⊻(≦∁(↹⩛4444⫢⨠↹⩛15314∽↹⩛35141↙↹⩛40304))=↹⩛55500","reverse_text":"↹⩛55500=(⨦⪝((⋗⩬⋾↹⩛5021)⩘))⊱⇼⊻(≦∁(↹⩛4444⫢⨠↹⩛15314∽↹⩛35141↙↹⩛40304))","cot":[{"info":"⋗⩬⋾↹⩛5021=↹⩛-23103","layer":3},{"info":"↹⩛-23103⩘=↹⩛151","layer":2},{"info":"⨦⪝↹⩛151=↹⩛-12420","layer":1},{"info":"↹⩛4444⫢⨠↹⩛15314=↹⩛424","layer":3},{"info":"↹⩛35141↙↹⩛40304=↹⩛-201320","layer":3},{"info":"↹⩛424∽↹⩛-201320=↹⩛1001442","layer":2},{"info":"≦∁↹⩛1001442=↹⩛1001442","layer":1},{"info":"↹⩛-12420⊱⇼⊻↹⩛1001442=↹⩛55500","layer":0}]} +{"id":70,"expression_no_base_symbol":"((⊵⊁($4761$⋭≵$5160$))⇮⋭(⩪∧⨌$6133$⩘$1480$))⨥⫆(⫓⪴$3234$⊋$3749$↼⊘⨖$2979$⇤$3423$)","expression":"((⊵⊁(↹⩛34013⋭≵↹⩛35520))⇮⋭(⩪∧⨌↹⩛44221⩘↹⩛10504))⨥⫆(⫓⪴↹⩛22550⊋↹⩛25205↼⊘⨖↹⩛21443⇤↹⩛23503)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59785,"operation_count":10,"complexity_ratio":5978.5,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4761,"base":6},"right_expr":{"type":"numeric_atoms","value":5160,"base":6}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6133,"base":6},"right_expr":{"type":"numeric_atoms","value":1480,"base":6}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3234,"base":6},"right_expr":{"type":"numeric_atoms","value":3749,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2979,"base":6},"right_expr":{"type":"numeric_atoms","value":3423,"base":6}}}}},"used_operators":["yXekIHxTD4","vkpjKywKVM","AvED76WdY7","jBncVCNhdl","6iOiAJX1F8","cHh1gJQ2o6","eLxqMNBOBk","bPywburJMS","W4tP9CfskL","YSKBFp38Pu"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","uBihLCJcMX","k8jYdgA6NY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4761","layer":4},{"info":"number node, value=5160","layer":4},{"info":"compute binary expreesion, left_input=4761, right_input=5160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=622","layer":2},{"info":"number node, value=6133","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=1480, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=1600","layer":2},{"info":"compute binary expreesion, left_input=622, right_input=1600, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=3234","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=3749, 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=-13969648","layer":3},{"info":"number node, value=2979","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=3423, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-29162","layer":3},{"info":"compute binary expreesion, left_input=-13969648, right_input=-29162, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-58546","layer":2},{"info":"compute unary expreesion, input=-58546, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=inf, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((⊵⊁(↹⩛34013⋭≵↹⩛35520))⇮⋭(⩪∧⨌↹⩛44221⩘↹⩛10504))⨥⫆(⫓⪴↹⩛22550⊋↹⩛25205↼⊘⨖↹⩛21443⇤↹⩛23503)=↹⩛0","reverse_text":"↹⩛0=((⊵⊁(↹⩛34013⋭≵↹⩛35520))⇮⋭(⩪∧⨌↹⩛44221⩘↹⩛10504))⨥⫆(⫓⪴↹⩛22550⊋↹⩛25205↼⊘⨖↹⩛21443⇤↹⩛23503)","cot":[{"info":"↹⩛34013⋭≵↹⩛35520=↹⩛151","layer":3},{"info":"⊵⊁↹⩛151=↹⩛2514","layer":2},{"info":"↹⩛44221⩘↹⩛10504=↹⩛424","layer":3},{"info":"⩪∧⨌↹⩛424=↹⩛11224","layer":2},{"info":"↹⩛2514⇮⋭↹⩛11224=↹⩛-2105","layer":1},{"info":"↹⩛22550⊋↹⩛25205=↹⩛-1215230144","layer":3},{"info":"↹⩛21443⇤↹⩛23503=↹⩛-343002","layer":3},{"info":"↹⩛-1215230144↼⊘⨖↹⩛-343002=↹⩛-1131014","layer":2},{"info":"⫓⪴↹⩛-1131014=Inf","layer":1},{"info":"↹⩛-2105⨥⫆Inf=↹⩛0","layer":0}]} +{"id":71,"expression_no_base_symbol":"⊤⊝(($4158$⊉≛↸$2079$)↡⊰⫅$4118$∌$1382$)⫞⩸⩒($4817$⩁⩘$1430$⇞)","expression":"⊤⊝((↹⩛31130⊉≛↸↹⩛13343)↡⊰⫅↹⩛31022∌↹⩛10222)⫞⩸⩒(↹⩛34145⩁⩘↹⩛10342⇞)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19410,"operation_count":7,"complexity_ratio":2772.8571428571427,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4158,"base":6},"right_expr":{"type":"numeric_atoms","value":2079,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4118,"base":6},"right_expr":{"type":"numeric_atoms","value":1382,"base":6}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4817,"base":6},"right_expr":{"type":"numeric_atoms","value":1430,"base":6}}}}},"used_operators":["rXAclfmB4M","XGcMNugi78","VCtxkLNOzz","DZ8iAZOCBD","8cLx32lpNA","5JYyxRJd4f","gub5Cegaqo"],"dependent_operators":["sdazOOVcIp","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4158","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=2079, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8316","layer":3},{"info":"number node, value=4118","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=1382, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1382","layer":3},{"info":"compute binary expreesion, left_input=8316, right_input=-1382, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=4817","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=4817, right_input=1430, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6668","layer":3},{"info":"compute unary expreesion, input=6668, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡��(a⊉≛↸(a⇼⇔∾a))) , else }', output=26585","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26585, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊤⊝((↹⩛31130⊉≛↸↹⩛13343)↡⊰⫅↹⩛31022∌↹⩛10222)⫞⩸⩒(↹⩛34145⩁⩘↹⩛10342⇞)=NaN","reverse_text":"NaN=⊤⊝((↹⩛31130⊉≛↸↹⩛13343)↡⊰⫅↹⩛31022∌↹⩛10222)⫞⩸⩒(↹⩛34145⩁⩘↹⩛10342⇞)","cot":[{"info":"↹⩛31130⊉≛↸↹⩛13343=↹⩛102300","layer":3},{"info":"↹⩛31022∌↹⩛10222=↹⩛-10222","layer":3},{"info":"↹⩛102300↡⊰⫅↹⩛-10222=NaN","layer":2},{"info":"↹⩛34145⩁⩘↹⩛10342=↹⩛50512","layer":3},{"info":"↹⩛50512⇞=↹⩛323025","layer":2},{"info":"NaN⫞⩸⩒↹⩛323025=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]} +{"id":72,"expression_no_base_symbol":"⩏⊷≩((⇺⋃$2763$)⨘⋶⪀)⫰⋱(↓⇌$5500$)∊∟⩊(≛$3002$)","expression":"⩏⊷≩((⇺⋃↹⩛20443)⨘⋶⪀)⫰⋱(↓⇌↹⩛41244)∊∟⩊(≛↹⩛21522)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":290,"operation_count":7,"complexity_ratio":41.42857142857143,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2763,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":5500,"base":6}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3002,"base":6}}}}},"used_operators":["uOZ1tnYMDE","6o9Blt3TJ6","XVKwrhznBb","E5v5B3UAjG","ddLRYrp01A","PxpmPgHHJV","W7eaUhjymW"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2763","layer":4},{"info":"compute unary expreesion, input=2763, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=5500","layer":4},{"info":"compute unary expreesion, input=5500, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5500","layer":3},{"info":"number node, value=3002","layer":4},{"info":"compute unary expreesion, input=3002, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=5500, right_input=-10, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=43","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=43, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎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":6,"result_base":6,"text":"⩏⊷≩((⇺⋃↹⩛20443)⨘⋶⪀)⫰⋱(↓⇌↹⩛41244)∊∟⩊(≛↹⩛21522)=NaN","reverse_text":"NaN=⩏⊷≩((⇺⋃↹⩛20443)⨘⋶⪀)⫰⋱(↓⇌↹⩛41244)∊∟⩊(≛↹⩛21522)","cot":[{"info":"⇺⋃↹⩛20443=NaN","layer":3},{"info":"NaN⨘⋶⪀=NaN","layer":2},{"info":"↓⇌↹⩛41244=↹⩛41244","layer":3},{"info":"≛↹⩛21522=↹⩛-14","layer":3},{"info":"↹⩛41244∊∟⩊↹⩛-14=↹⩛111","layer":2},{"info":"NaN⫰⋱↹⩛111=NaN","layer":1},{"info":"⩏⊷≩NaN=NaN","layer":0}]} +{"id":73,"expression_no_base_symbol":"(⪡⇡≛($2022$∝$6733$))↸(⫡⇟⇯$1190$∼$1803$)⇼⇔∾(↣≠⋷($4003$≬⇓$2463$)⩌⋺($2434$⪛⫼$3724$))","expression":"(⪡⇡≛(↹⩛13210∝↹⩛51101))↸(⫡⇟⇯↹⩛5302∼↹⩛12203)⇼⇔∾(↣≠⋷(↹⩛30311≬⇓↹⩛15223)⩌⋺(↹⩛15134⪛⫼↹⩛25124))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":215,"operation_count":10,"complexity_ratio":21.5,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2022,"base":6},"right_expr":{"type":"numeric_atoms","value":6733,"base":6}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1190,"base":6},"right_expr":{"type":"numeric_atoms","value":1803,"base":6}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4003,"base":6},"right_expr":{"type":"numeric_atoms","value":2463,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2434,"base":6},"right_expr":{"type":"numeric_atoms","value":3724,"base":6}}}}},"used_operators":["tifHPKVTfV","1eCjFl0mb9","qL4PrbW1Dq","cTDWOvIxvz","qWUSsah53b","DyGG3AbaNP","Asc51vEJeQ","g7Hmc5v1ko","jWTQ2TZYIH","hyuBjUqXlG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DZ8iAZOCBD","P8v4zCKN1o","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":4},{"info":"number node, value=6733","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=6733, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2027","layer":3},{"info":"compute unary expreesion, input=2027, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2027","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1803, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2027, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-2027","layer":1},{"info":"number node, value=4003","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=2463, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2434","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=2434, right_input=3724, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=968, 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=-1067","layer":2},{"info":"compute unary expreesion, input=-1067, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2027, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪡⇡≛(↹⩛13210∝↹⩛51101))↸(⫡⇟⇯↹⩛5302∼↹⩛12203)⇼⇔∾(↣≠⋷(↹⩛30311≬⇓↹⩛15223)⩌⋺(↹⩛15134⪛⫼↹⩛25124))=NaN","reverse_text":"NaN=(⪡⇡≛(↹⩛13210∝↹⩛51101))↸(⫡⇟⇯↹⩛5302∼↹⩛12203)⇼⇔∾(↣≠⋷(↹⩛30311≬⇓↹⩛15223)⩌⋺(↹⩛15134⪛⫼↹⩛25124))","cot":[{"info":"↹⩛13210∝↹⩛51101=↹⩛13215","layer":3},{"info":"⪡⇡≛↹⩛13215=↹⩛-13215","layer":2},{"info":"↹⩛5302∼↹⩛12203=NaN","layer":3},{"info":"⫡⇟⇯NaN=NaN","layer":2},{"info":"↹⩛-13215↸NaN=↹⩛-13215","layer":1},{"info":"↹⩛30311≬⇓↹⩛15223=↹⩛-34","layer":3},{"info":"↹⩛15134⪛⫼↹⩛25124=↹⩛4252","layer":3},{"info":"↹⩛-34⩌⋺↹⩛4252=↹⩛-4535","layer":2},{"info":"↣≠⋷↹⩛-4535=NaN","layer":1},{"info":"↹⩛-13215⇼⇔∾NaN=NaN","layer":0}]} +{"id":74,"expression_no_base_symbol":"($1460$∥⊢⊲$3451$⪭($1005$⪡$1958$))⊴($7305$⇣⩺⋵$1537$≓∲$1492$≠≀$1197$)⫌⩹⨱","expression":"(↹⩛10432∥⊢⊲↹⩛23551⪭(↹⩛4353⪡↹⩛13022))⊴(↹⩛53453⇣⩺⋵↹⩛11041≓∲↹⩛10524≠≀↹⩛5313)⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":259,"operation_count":8,"complexity_ratio":32.375,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1460,"base":6},"right_expr":{"type":"numeric_atoms","value":3451,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1005,"base":6},"right_expr":{"type":"numeric_atoms","value":1958,"base":6}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":7305,"base":6},"right_expr":{"type":"numeric_atoms","value":1537,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1492,"base":6},"right_expr":{"type":"numeric_atoms","value":1197,"base":6}}}}},"used_operators":["EBcxylXtPf","Nsiff2A1zJ","j9kHMeSvPp","v1UQAVDJRr","oraRL2iQuh","s1XTVnmDOJ","F4yD0voBRQ","IwW236VD4Y"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","COABgblf1C","xUOZtlo3hN","EBcxylXtPf","rGHVDoGpnC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1460","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=3451, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1958, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=7305","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=7305, right_input=1537, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1197, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2678","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-2678, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=67, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10432∥⊢⊲↹⩛23551⪭(↹⩛4353⪡↹⩛13022))⊴(↹⩛53453⇣⩺⋵↹⩛11041≓∲↹⩛10524≠≀↹⩛5313)⫌⩹⨱=NaN","reverse_text":"NaN=(↹⩛10432∥⊢⊲↹⩛23551⪭(↹⩛4353⪡↹⩛13022))⊴(↹⩛53453⇣⩺⋵↹⩛11041≓∲↹⩛10524≠≀↹⩛5313)⫌⩹⨱","cot":[{"info":"↹⩛10432∥⊢⊲↹⩛23551=NaN","layer":3},{"info":"↹⩛4353⪡↹⩛13022=↹⩛255","layer":3},{"info":"NaN⪭↹⩛255=↹⩛5","layer":2},{"info":"↹⩛53453⇣⩺⋵↹⩛11041=↹⩛-1112","layer":3},{"info":"↹⩛10524≠≀↹⩛5313=↹⩛-20222","layer":3},{"info":"↹⩛-1112≓∲↹⩛-20222=↹⩛151","layer":2},{"info":"↹⩛5⊴↹⩛151=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]} +{"id":75,"expression_no_base_symbol":"((($7758$⫌⩹⨱)⫲)⪥($3485$⨐$1535$⋣⋖(⊲⪭$2340$)))⋥⋵⩄((⨮↦↱$1881$⪝$5692$)⪮%⊝(($1422$⪠⩆⊳)⨔≚≋(↡$5127$)))","expression":"(((↹⩛55530⫌⩹⨱)⫲)��(↹⩛24045⨐↹⩛11035⋣⋖(⊲⪭↹⩛14500)))⋥⋵⩄((⨮↦↱↹⩛12413⪝↹⩛42204)⪮%⊝((↹⩛10330⪠⩆⊳)⨔≚≋(↡↹⩛35423)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4510,"operation_count":13,"complexity_ratio":346.9230769230769,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":7758,"base":6}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3485,"base":6},"right_expr":{"type":"numeric_atoms","value":1535,"base":6}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2340,"base":6}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1881,"base":6},"right_expr":{"type":"numeric_atoms","value":5692,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1422,"base":6}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":5127,"base":6}}}}},"used_operators":["7t3wd0Fuz7","QbnwKVWMIQ","9xnGDUPbC6","EBcxylXtPf","J0M6qkBnIM","Noe24qw2ks","k7HXdKtiEU","IWmyXbctLI","sYcpBQ0cFf","wicAB68Tmb","Z57zeUYC9z","JLbD19bQDL","MXaNJeIAZ3"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"↹⩛1210012012","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7758","layer":4},{"info":"compute unary expreesion, input=7758, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=16917","layer":3},{"info":"compute unary expreesion, input=16917, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=16644","layer":2},{"info":"number node, value=3485","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=1535, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6970","layer":3},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2514","layer":3},{"info":"compute binary expreesion, left_input=-6970, right_input=-2514, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=16644, right_input=-527, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=71228","layer":1},{"info":"number node, value=1881","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=5692, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-693288","layer":2},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=5127","layer":4},{"info":"compute unary expreesion, input=5127, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=46143","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=46143, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-371904","layer":2},{"info":"compute binary expreesion, left_input=-693288, right_input=-371904, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1386260","layer":1},{"info":"compute binary expreesion, left_input=71228, right_input=-1386260, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=13718600","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛55530⫌⩹⨱)⫲)⪥(↹⩛24045⨐↹⩛11035⋣⋖(⊲⪭↹⩛14500)))⋥⋵⩄((⨮↦↱↹⩛12413⪝↹⩛42204)⪮%⊝((↹⩛10330⪠⩆⊳)⨔≚≋(↡↹⩛35423)))=↹⩛1210012012","reverse_text":"↹⩛1210012012=(((↹⩛55530⫌⩹⨱)⫲)⪥(↹⩛24045⨐↹⩛11035⋣⋖(⊲⪭↹⩛14500)))⋥⋵⩄((⨮↦↱↹⩛12413⪝↹⩛42204)⪮%⊝((↹⩛10330⪠⩆⊳)⨔≚≋(↡↹⩛35423)))","cot":[{"info":"↹⩛55530⫌⩹⨱=↹⩛210153","layer":3},{"info":"↹⩛210153⫲=↹⩛205020","layer":2},{"info":"↹⩛24045⨐↹⩛11035=↹⩛-52134","layer":3},{"info":"⊲⪭↹⩛14500=↹⩛-15350","layer":3},{"info":"↹⩛-52134⋣⋖↹⩛-15350=↹⩛-2235","layer":2},{"info":"↹⩛205020⪥↹⩛-2235=↹⩛1305432","layer":1},{"info":"↹⩛12413⪝↹⩛42204=↹⩛1033","layer":3},{"info":"⨮↦↱↹⩛1033=↹⩛-22505400","layer":2},{"info":"↹⩛10330⪠⩆⊳=↹⩛0","layer":3},{"info":"↡↹⩛35423=↹⩛553343","layer":3},{"info":"↹⩛0⨔≚≋↹⩛553343=↹⩛-11545440","layer":2},{"info":"↹⩛-22505400⪮%⊝↹⩛-11545440=↹⩛-45413512","layer":1},{"info":"↹⩛1305432⋥⋵⩄↹⩛-45413512=↹⩛1210012012","layer":0}]} +{"id":76,"expression_no_base_symbol":"($1260$⨳⩥⨓$1304$∲⫓$3617$↞⋁$3446$)⊕∕(⋣($4222$≦≮≮))⊮⊟↴(≤/(($1516$≑≱⪘)⨝⩣∺))","expression":"(↹⩛5500⨳⩥⨓↹⩛10012∲⫓↹⩛24425↞⋁↹⩛23542)⊕∕(⋣(↹⩛31314≦≮≮))⊮⊟↴(≤/((↹⩛11004≑≱⪘)⨝⩣∺))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":507,"operation_count":10,"complexity_ratio":50.7,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1260,"base":6},"right_expr":{"type":"numeric_atoms","value":1304,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3617,"base":6},"right_expr":{"type":"numeric_atoms","value":3446,"base":6}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4222,"base":6}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1516,"base":6}}}}},"used_operators":["QDVgd2eftb","9cloC0Ngie","i8ToyICDmI","nCS4ZIUYfx","RqrPlJkxDo","zQWRhDnn8F","D4vGDi5EA2","eLAdDNolq6","ancx8kZcWl","tGSeddj7UK"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","t8gj7n24qd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1304, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=44","layer":3},{"info":"number node, value=3617","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=3446, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=44, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=4222","layer":4},{"info":"compute unary expreesion, input=4222, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12666","layer":3},{"info":"compute unary expreesion, input=-12666, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"number node, value=1516","layer":4},{"info":"compute unary expreesion, input=1516, 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=35781","layer":3},{"info":"compute unary expreesion, input=35781, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-71562","layer":2},{"info":"compute unary expreesion, input=-71562, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=72046","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=72046, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5500⨳⩥⨓↹⩛10012∲⫓↹⩛24425↞⋁↹⩛23542)⊕∕(⋣(↹⩛31314≦≮≮))⊮⊟↴(≤/((↹⩛11004≑≱⪘)⨝⩣∺))=↹⩛0","reverse_text":"↹⩛0=(↹⩛5500⨳⩥⨓↹⩛10012∲⫓↹⩛24425↞⋁↹⩛23542)⊕∕(⋣(↹⩛31314≦≮≮))⊮⊟↴(≤/((↹⩛11004≑≱⪘)⨝⩣∺))","cot":[{"info":"↹⩛5500⨳⩥⨓↹⩛10012=↹⩛112","layer":3},{"info":"↹⩛24425↞⋁↹⩛23542=NaN","layer":3},{"info":"↹⩛112∲⫓NaN=NaN","layer":2},{"info":"↹⩛31314≦≮≮=↹⩛-134350","layer":3},{"info":"⋣↹⩛-134350=↹⩛-305","layer":2},{"info":"NaN⊕∕↹⩛-305=NaN","layer":1},{"info":"↹⩛11004≑≱⪘=↹⩛433353","layer":3},{"info":"↹⩛433353⨝⩣∺=↹⩛-1311150","layer":2},{"info":"≤/↹⩛-1311150=↹⩛1313314","layer":1},{"info":"NaN⊮⊟↴↹⩛1313314=↹⩛0","layer":0}]} +{"id":77,"expression_no_base_symbol":"(($1693$⊝⪿⪼$2643$⨒(⇐$1932$))≀⩗∶$1611$⪘⫢$2030$⪇≇⋚(≱⇩⩕$1304$))∓⋝(($2427$⊾⪯⋞$2558$)∊∟⩊($6249$∲⫓$5659$))⫣⪄⊒(($1194$↡⊰⫅$2264$)⪨⊡(↡$1082$))","expression":"((↹⩛11501⊝⪿⪼↹⩛20123⨒(⇐↹⩛12540))≀⩗∶↹⩛11243⪘⫢↹⩛13222⪇≇⋚(≱⇩⩕↹⩛10012))∓⋝((↹⩛15123⊾⪯⋞↹⩛15502)∊∟⩊(↹⩛44533∲⫓↹⩛42111))⫣⪄⊒((↹⩛5310↡⊰⫅↹⩛14252)⪨⊡(↡↹⩛5002))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32116,"operation_count":15,"complexity_ratio":2141.0666666666666,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1693,"base":6},"right_expr":{"type":"numeric_atoms","value":2643,"base":6}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1932,"base":6}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1611,"base":6},"right_expr":{"type":"numeric_atoms","value":2030,"base":6}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1304,"base":6}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2427,"base":6},"right_expr":{"type":"numeric_atoms","value":2558,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6249,"base":6},"right_expr":{"type":"numeric_atoms","value":5659,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1194,"base":6},"right_expr":{"type":"numeric_atoms","value":2264,"base":6}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1082,"base":6}}}}},"used_operators":["PoHhknlbAi","8INZBEW696","y75s1iXyHd","3Oe9XWJUTD","nmZMaaE0Q9","3sJ7IOPOlU","oacrs7FA3X","3DZMoQKiUl","RabNbG55vr","ddLRYrp01A","HK0tfVPux8","i8ToyICDmI","kuIXHzHcAH","VCtxkLNOzz","MXaNJeIAZ3"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"↹⩛321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=2643, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=35327","layer":3},{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4678","layer":3},{"info":"compute binary expreesion, left_input=35327, right_input=4678, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-211590","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=2030, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3098","layer":3},{"info":"number node, value=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=3098, right_input=113, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-211590, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=2427","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=2558, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4690","layer":3},{"info":"number node, value=6249","layer":4},{"info":"number node, value=5659","layer":4},{"info":"compute binary expreesion, left_input=6249, right_input=5659, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4690, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=49","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=2264, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4528","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=9738","layer":3},{"info":"compute binary expreesion, left_input=4528, right_input=9738, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=49, right_input=0, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11501⊝⪿⪼↹⩛20123⨒(⇐↹⩛12540))≀⩗∶↹⩛11243⪘⫢↹⩛13222⪇≇⋚(≱⇩⩕↹⩛10012))∓⋝((↹⩛15123⊾⪯⋞↹⩛15502)∊∟⩊(↹⩛44533∲⫓↹⩛42111))⫣⪄⊒((↹⩛5310↡⊰⫅↹⩛14252)⪨⊡(↡↹⩛5002))=↹⩛321","reverse_text":"↹⩛321=((↹⩛11501⊝⪿⪼↹⩛20123⨒(⇐↹⩛12540))≀⩗∶↹⩛11243⪘⫢↹⩛13222⪇≇⋚(≱⇩⩕↹⩛10012))∓⋝((↹⩛15123⊾⪯⋞↹⩛15502)∊∟⩊(↹⩛44533∲⫓↹⩛42111))⫣⪄⊒((↹⩛5310↡⊰⫅↹⩛14252)⪨⊡(↡↹⩛5002))","cot":[{"info":"↹⩛11501⊝⪿⪼↹⩛20123=↹⩛431315","layer":3},{"info":"⇐↹⩛12540=↹⩛33354","layer":3},{"info":"↹⩛431315⨒↹⩛33354=↹⩛-4311330","layer":2},{"info":"↹⩛11243⪘⫢↹⩛13222=↹⩛22202","layer":3},{"info":"≱⇩⩕↹⩛10012=↹⩛305","layer":3},{"info":"↹⩛22202⪇≇⋚↹⩛305=↹⩛0","layer":2},{"info":"↹⩛-4311330≀⩗∶↹⩛0=↹⩛0","layer":1},{"info":"↹⩛15123⊾⪯⋞↹⩛15502=↹⩛33414","layer":3},{"info":"↹⩛44533∲⫓↹⩛42111=↹⩛0","layer":3},{"info":"↹⩛33414∊∟⩊↹⩛0=↹⩛121","layer":2},{"info":"↹⩛5310↡⊰⫅↹⩛14252=↹⩛32544","layer":3},{"info":"↡↹⩛5002=↹⩛113030","layer":3},{"info":"↹⩛32544⪨⊡↹⩛113030=↹⩛0","layer":2},{"info":"↹⩛121⫣⪄⊒↹⩛0=↹⩛424","layer":1},{"info":"↹⩛0∓⋝↹⩛424=↹⩛321","layer":0}]} +{"id":78,"expression_no_base_symbol":"($5723$⊜)⨐($1356$+⇶⊼$1499$)+⪬∐($1428$∠↢$5806$∲⫓$2392$⪪$5978$)-(($1075$⊴⇁⪶)⋝⋈⪟($1993$⊹∫⫚$4690$))≝⊿($3986$↳∿⪆$1036$⊭∹↮)","expression":"(↹⩛42255⊜)⨐(↹⩛10140+⇶⊼↹⩛10535)+⪬∐(↹⩛10340∠↢↹⩛42514∲⫓↹⩛15024⪪↹⩛43402)-((↹⩛4551⊴⇁⪶)⋝⋈⪟(↹⩛13121⊹∫⫚↹⩛33414))≝⊿(↹⩛30242↳∿⪆↹⩛4444⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11037,"operation_count":14,"complexity_ratio":788.3571428571429,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":5723,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1356,"base":6},"right_expr":{"type":"numeric_atoms","value":1499,"base":6}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1428,"base":6},"right_expr":{"type":"numeric_atoms","value":5806,"base":6}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2392,"base":6},"right_expr":{"type":"numeric_atoms","value":5978,"base":6}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1075,"base":6}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1993,"base":6},"right_expr":{"type":"numeric_atoms","value":4690,"base":6}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3986,"base":6},"right_expr":{"type":"numeric_atoms","value":1036,"base":6}}}}},"used_operators":["rysDP5nf3Z","2GS7woTJqF","Noe24qw2ks","Eev2Q7dYIw","TpPTUOHfaN","i8ToyICDmI","KbjG8mgYpV","xD69zh8xqp","OKKcZfAt5B","2DDjHMKMc0","oo9mF6JIpo","uWAJUKEvyW","xNBdhnnwKq","Cw4SuJJGHO"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5723","layer":4},{"info":"compute unary expreesion, input=5723, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-21156","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=1499, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21156, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=42312","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5806, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-85914","layer":3},{"info":"number node, value=2392","layer":4},{"info":"number node, value=5978","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=5978, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-357281","layer":3},{"info":"compute binary expreesion, left_input=-85914, right_input=-357281, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-85914","layer":2},{"info":"compute binary expreesion, left_input=42312, right_input=-85914, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-126936","layer":1},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, 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=15972","layer":3},{"info":"number node, value=1993","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=4690, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-248","layer":3},{"info":"compute binary expreesion, left_input=15972, right_input=-248, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=15972","layer":2},{"info":"number node, value=3986","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=1036, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15972, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-126936, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42255⊜)⨐(↹⩛10140+⇶⊼↹⩛10535)+⪬∐(↹⩛10340∠↢↹⩛42514∲⫓↹⩛15024⪪↹⩛43402)-((↹⩛4551⊴⇁⪶)⋝⋈⪟(↹⩛13121⊹∫⫚↹⩛33414))≝⊿(↹⩛30242↳∿⪆↹⩛4444⊭∹↮)=NaN","reverse_text":"NaN=(↹⩛42255⊜)⨐(↹⩛10140+⇶⊼↹⩛10535)+⪬∐(↹⩛10340∠↢↹⩛42514∲⫓↹⩛15024⪪↹⩛43402)-((↹⩛4551⊴⇁⪶)⋝⋈⪟(↹⩛13121⊹∫⫚↹⩛33414))≝⊿(↹⩛30242↳∿⪆↹⩛4444⊭∹↮)","cot":[{"info":"↹⩛42255⊜=↹⩛-241540","layer":3},{"info":"↹⩛10140+⇶⊼↹⩛10535=NaN","layer":3},{"info":"↹⩛-241540⨐NaN=↹⩛523520","layer":2},{"info":"↹⩛10340∠↢↹⩛42514=↹⩛-1501430","layer":3},{"info":"↹⩛15024⪪↹⩛43402=↹⩛-11354025","layer":3},{"info":"↹⩛-1501430∲⫓↹⩛-11354025=↹⩛-1501430","layer":2},{"info":"↹⩛523520+⪬∐↹⩛-1501430=↹⩛-2415400","layer":1},{"info":"↹⩛4551⊴⇁⪶=↹⩛201540","layer":3},{"info":"↹⩛13121⊹∫⫚↹⩛33414=↹⩛-1052","layer":3},{"info":"↹⩛201540⋝⋈⪟↹⩛-1052=↹⩛201540","layer":2},{"info":"↹⩛30242↳∿⪆↹⩛4444=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"↹⩛201540≝⊿NaN=NaN","layer":1},{"info":"↹⩛-2415400-NaN=NaN","layer":0}]} +{"id":79,"expression_no_base_symbol":"((≯$7174$∇⊂⋱$2384$)⫳≱↱($1666$∠⫱$2057$)⨪↰⇹$1394$≚⊃≕$3121$)⩦((⋎⨆$1126$↺$2711$)≒∊($5837$⇴$2626$+(⨛$1187$)))","expression":"((≯↹⩛53114∇⊂⋱↹⩛15012)⫳≱↱(↹⩛11414∠⫱↹⩛13305)⨪↰⇹↹⩛10242≚⊃≕↹⩛22241)⩦((⋎⨆↹⩛5114↺↹⩛20315)≒∊(↹⩛43005⇴↹⩛20054+(⨛↹⩛5255)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1709,"operation_count":13,"complexity_ratio":131.46153846153845,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7174,"base":6},"right_expr":{"type":"numeric_atoms","value":2384,"base":6}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1666,"base":6},"right_expr":{"type":"numeric_atoms","value":2057,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1394,"base":6},"right_expr":{"type":"numeric_atoms","value":3121,"base":6}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1126,"base":6},"right_expr":{"type":"numeric_atoms","value":2711,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":5837,"base":6},"right_expr":{"type":"numeric_atoms","value":2626,"base":6}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1187,"base":6}}}}},"used_operators":["0kmYd0q39Y","ZvLB05nZmT","keWfFq85dY","nhYeJWJD5X","tmPS8pqC7x","QvoQhV0rrE","Bmrmz2XGnR","5KTvxBwnZo","E64sFOc4tB","7j4O788W3g","W4YGzv6Whe","4JB6nKBMSY","CoMdbyAt7R"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7174","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=7174, right_input=2384, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13802","layer":3},{"info":"compute unary expreesion, input=13802, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1666","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=2057, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1394","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=3121, 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=-10071","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-10071, 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=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2711, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2711","layer":3},{"info":"compute unary expreesion, input=2711, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"number node, value=5837","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=5837, right_input=2626, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=39888","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=39888, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≯↹⩛53114∇⊂⋱↹⩛15012)⫳≱↱(↹⩛11414∠⫱↹⩛13305)⨪↰⇹↹⩛10242≚⊃≕↹⩛22241)⩦((⋎⨆↹⩛5114↺↹⩛20315)≒∊(↹⩛43005⇴↹⩛20054+(⨛↹⩛5255)))=NaN","reverse_text":"NaN=((≯↹⩛53114∇⊂⋱↹⩛15012)⫳≱↱(↹⩛11414∠⫱↹⩛13305)⨪↰⇹↹⩛10242≚⊃≕↹⩛22241)⩦((⋎⨆↹⩛5114↺↹⩛20315)≒∊(↹⩛43005⇴↹⩛20054+(⨛↹⩛5255)))","cot":[{"info":"↹⩛53114∇⊂⋱↹⩛15012=↹⩛143522","layer":3},{"info":"≯↹⩛143522=↹⩛0","layer":2},{"info":"↹⩛11414∠⫱↹⩛13305=↹⩛5414","layer":3},{"info":"↹⩛10242≚⊃≕↹⩛22241=↹⩛-114343","layer":3},{"info":"↹⩛5414⨪↰⇹↹⩛-114343=↹⩛5414","layer":2},{"info":"↹⩛0⫳≱↱↹⩛5414=↹⩛-540","layer":1},{"info":"↹⩛5114↺↹⩛20315=↹⩛20315","layer":3},{"info":"⋎⨆↹⩛20315=↹⩛0","layer":2},{"info":"↹⩛43005⇴↹⩛20054=↹⩛504400","layer":3},{"info":"⨛↹⩛5255=NaN","layer":3},{"info":"↹⩛504400+NaN=NaN","layer":2},{"info":"↹⩛0≒∊NaN=NaN","layer":1},{"info":"↹⩛-540⩦NaN=NaN","layer":0}]} +{"id":80,"expression_no_base_symbol":"((↴⪽⋼$2795$)∷$3815$⨻⩈⩔$3675$)≄⊠($1022$⩼⇪↪$5402$↫)⪒(⩏⊷≩(∑⇻≧$1013$)≎⊠⪸(⨛$1174$))","expression":"((↴⪽⋼↹⩛20535)∷↹⩛25355⨻⩈⩔↹⩛25003)≄⊠(↹⩛4422⩼⇪↪↹⩛41002↫)⪒(⩏⊷≩(∑⇻≧↹⩛4405)≎⊠⪸(⨛↹⩛5234))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":284,"operation_count":11,"complexity_ratio":25.818181818181817,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2795,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3815,"base":6},"right_expr":{"type":"numeric_atoms","value":3675,"base":6}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1022,"base":6},"right_expr":{"type":"numeric_atoms","value":5402,"base":6}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1013,"base":6}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1174,"base":6}}}}},"used_operators":["f6k1SAg4EE","vXNesLlMH1","D3AQDKkPcf","5TUYCnJO6w","nEsXyWgiOK","uPb5QRN0te","ocnLzx9CaJ","uOZ1tnYMDE","bJkvcejdHO","l1M9WJ3V7u","CoMdbyAt7R"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"↹⩛-12314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2795","layer":3},{"info":"number node, value=3815","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=3675, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=22119","layer":3},{"info":"compute binary expreesion, left_input=2795, right_input=22119, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=22119","layer":2},{"info":"number node, value=1022","layer":4},{"info":"number node, value=5402","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=5402, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-36553","layer":3},{"info":"compute unary expreesion, input=-36553, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-36553","layer":2},{"info":"compute binary expreesion, left_input=22119, right_input=-36553, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=346","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1846","layer":0}],"base":6,"result_base":6,"text":"((↴⪽⋼↹⩛20535)∷↹⩛25355⨻⩈⩔↹⩛25003)≄⊠(↹⩛4422⩼⇪↪↹⩛41002↫)⪒(⩏⊷≩(∑⇻≧↹⩛4405)≎⊠⪸(⨛↹⩛5234))=↹⩛-12314","reverse_text":"↹⩛-12314=((↴⪽⋼↹⩛20535)∷↹⩛25355⨻⩈⩔↹⩛25003)≄⊠(↹⩛4422⩼⇪↪↹⩛41002↫)⪒(⩏⊷≩(∑⇻≧↹⩛4405)≎⊠⪸(⨛↹⩛5234))","cot":[{"info":"↴⪽⋼↹⩛20535=↹⩛20535","layer":3},{"info":"↹⩛25355⨻⩈⩔↹⩛25003=↹⩛250223","layer":3},{"info":"↹⩛20535∷↹⩛250223=↹⩛250223","layer":2},{"info":"↹⩛4422⩼⇪↪↹⩛41002=↹⩛-441121","layer":3},{"info":"↹⩛-441121↫=↹⩛-441121","layer":2},{"info":"↹⩛250223≄⊠↹⩛-441121=↹⩛10540","layer":1},{"info":"∑⇻≧↹⩛4405=↹⩛-3540","layer":3},{"info":"⨛↹⩛5234=NaN","layer":3},{"info":"↹⩛-3540≎⊠⪸NaN=↹⩛151","layer":2},{"info":"⩏⊷≩↹⩛151=↹⩛1334","layer":1},{"info":"↹⩛10540⪒↹⩛1334=↹⩛-12314","layer":0}]} +{"id":81,"expression_no_base_symbol":"∓(⇋↷(↩($1686$⪎⩰)))","expression":"∓(⇋↷(↩(↹⩛11450⪎⩰)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":50,"operation_count":4,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1686,"base":6}}}}},"used_operators":["OwUj7dcsQK","SWo3A1KBJH","jLgFTUHLKL","2ufhKmSs5H"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"↹⩛-21340200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute unary expreesion, input=-34, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5252","layer":2},{"info":"compute unary expreesion, input=5252, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=42016","layer":1},{"info":"compute unary expreesion, input=42016, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-635112","layer":0}],"base":6,"result_base":6,"text":"∓(⇋↷(↩(↹⩛11450⪎⩰)))=↹⩛-21340200","reverse_text":"↹⩛-21340200=∓(⇋↷(↩(↹⩛11450⪎⩰)))","cot":[{"info":"↹⩛11450⪎⩰=↹⩛-54","layer":3},{"info":"↩↹⩛-54=↹⩛40152","layer":2},{"info":"⇋↷↹⩛40152=↹⩛522304","layer":1},{"info":"∓↹⩛522304=↹⩛-21340200","layer":0}]} +{"id":82,"expression_no_base_symbol":"∮($1323$≓∲$2592$∕⩚($7287$⪑⩈))↢($2213$→⨶⪴$8374$)↞⋁($1304$⇋≉)","expression":"∮(↹⩛10043≓∲↹⩛20000∕⩚(↹⩛53423⪑⩈))↢(↹⩛14125→⨶⪴↹⩛102434)↞⋁(↹⩛10012⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14323,"operation_count":8,"complexity_ratio":1790.375,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1323,"base":6},"right_expr":{"type":"numeric_atoms","value":2592,"base":6}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":7287,"base":6}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2213,"base":6},"right_expr":{"type":"numeric_atoms","value":8374,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1304,"base":6}}}}},"used_operators":["CqXKPLVYql","WR6HLWljOP","z9ffQ9n5Zr","s1XTVnmDOJ","C6VvDP6HwP","RqrPlJkxDo","bF6eod5Gvf","XIabStNQrY"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=2592, 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=14013","layer":3},{"info":"number node, value=7287","layer":4},{"info":"compute unary expreesion, input=7287, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=52599","layer":3},{"info":"compute binary expreesion, left_input=14013, right_input=52599, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-14016","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=8374","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=8374, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-25122","layer":3},{"info":"number node, value=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2510","layer":3},{"info":"compute binary expreesion, left_input=-25122, right_input=2510, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14016, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∮(↹⩛10043≓∲↹⩛20000∕⩚(↹⩛53423⪑⩈))↢(↹⩛14125→⨶⪴↹⩛102434)↞⋁(↹⩛10012⇋≉)=NaN","reverse_text":"NaN=∮(↹⩛10043≓∲↹⩛20000∕⩚(↹⩛53423⪑⩈))↢(↹⩛14125→⨶⪴↹⩛102434)↞⋁(↹⩛10012⇋≉)","cot":[{"info":"↹⩛10043≓∲↹⩛20000=↹⩛144513","layer":3},{"info":"↹⩛53423⪑⩈=↹⩛1043303","layer":3},{"info":"↹⩛144513∕⩚↹⩛1043303=↹⩛-144520","layer":2},{"info":"↹⩛14125→⨶⪴↹⩛102434=↹⩛-312150","layer":3},{"info":"↹⩛10012⇋≉=↹⩛15342","layer":3},{"info":"↹⩛-312150↞⋁↹⩛15342=NaN","layer":2},{"info":"↹⩛-144520↢NaN=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]} +{"id":83,"expression_no_base_symbol":"(⪡⇡≛(⇋⊎⋝$3995$))≁($2219$↺$2187$)⨑⩅≇($2414$∽$5811$)⇐≅","expression":"(⪡⇡≛(⇋⊎⋝↹⩛30255))≁(↹⩛14135↺↹⩛14043)⨑⩅≇(↹⩛15102∽↹⩛42523)⇐≅","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33445,"operation_count":7,"complexity_ratio":4777.857142857143,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3995,"base":6}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2219,"base":6},"right_expr":{"type":"numeric_atoms","value":2187,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2414,"base":6},"right_expr":{"type":"numeric_atoms","value":5811,"base":6}}}}},"used_operators":["wEfv7U73WA","8N2wDY1A35","qL4PrbW1Dq","CzM2PEoXns","h92wMvzauj","7j4O788W3g","y4ImoPnbV5"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","dWAJyo7jo9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3995","layer":4},{"info":"compute unary expreesion, input=3995, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"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":2},{"info":"number node, value=2219","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=2187, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2187","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=5811","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=5811, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-29325","layer":3},{"info":"compute binary expreesion, left_input=2187, right_input=-29325, 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=-6561","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6561, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪡⇡≛(⇋⊎⋝↹⩛30255))≁(↹⩛14135↺↹⩛14043)⨑⩅≇(↹⩛15102∽↹⩛42523)⇐≅=NaN","reverse_text":"NaN=(⪡⇡≛(⇋⊎⋝↹⩛30255))≁(↹⩛14135↺↹⩛14043)⨑⩅≇(↹⩛15102∽↹⩛42523)⇐≅","cot":[{"info":"⇋⊎⋝↹⩛30255=NaN","layer":3},{"info":"⪡⇡≛NaN=NaN","layer":2},{"info":"↹⩛14135↺↹⩛14043=↹⩛14043","layer":3},{"info":"↹⩛15102∽↹⩛42523=↹⩛-343433","layer":3},{"info":"↹⩛14043⨑⩅≇↹⩛-343433=↹⩛-50213","layer":2},{"info":"NaN≁↹⩛-50213=NaN","layer":1},{"info":"NaN⇐≅=NaN","layer":0}]} +{"id":84,"expression_no_base_symbol":"($1864$⇴$1403$⇌⫙⪟($2813$∑⇟⊟$1630$))⨥⫆(⨈⫕($1542$↸$1933$))⨔≚≋($7320$⨎$1073$⪛⫼(≱⇩⩕$1994$)∙∹∝(($2895$⪨⊡$7054$)⫭))","expression":"(↹⩛12344⇴↹⩛10255⇌⫙⪟(↹⩛21005∑⇟⊟↹⩛11314))⨥⫆(⨈⫕(↹⩛11050↸↹⩛12541))⨔≚≋(↹⩛53520⨎↹⩛4545⪛⫼(≱⇩⩕↹⩛13122)∙∹∝((↹⩛21223⪨⊡↹⩛52354)⫭))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2170,"operation_count":13,"complexity_ratio":166.92307692307693,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1864,"base":6},"right_expr":{"type":"numeric_atoms","value":1403,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2813,"base":6},"right_expr":{"type":"numeric_atoms","value":1630,"base":6}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1542,"base":6},"right_expr":{"type":"numeric_atoms","value":1933,"base":6}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7320,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1994,"base":6}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2895,"base":6},"right_expr":{"type":"numeric_atoms","value":7054,"base":6}}}}},"used_operators":["Z57zeUYC9z","yXekIHxTD4","AFVx7xoS7T","4JB6nKBMSY","U7g4x0WXJJ","megm06wKyl","1eCjFl0mb9","HmxsFra2vL","hyuBjUqXlG","rJVOvQCfKK","3DZMoQKiUl","t4WUHVGj7f","kuIXHzHcAH"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1864","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1403, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=13604","layer":3},{"info":"number node, value=2813","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=1630, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13604, 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":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1933, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1542","layer":3},{"info":"compute unary expreesion, input=1542, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=7320","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=7320, right_input=1073, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1073","layer":3},{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=1073, right_input=113, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=2895","layer":4},{"info":"number node, value=7054","layer":4},{"info":"compute binary expreesion, left_input=2895, right_input=7054, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=241","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=241, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12344⇴↹⩛10255⇌⫙⪟(↹⩛21005∑⇟⊟↹⩛11314))⨥⫆(⨈⫕(↹⩛11050↸↹⩛12541))⨔≚≋(↹⩛53520⨎↹⩛4545⪛⫼(≱⇩⩕↹⩛13122)∙∹∝((↹⩛21223⪨⊡↹⩛52354)⫭))=NaN","reverse_text":"NaN=(↹⩛12344⇴↹⩛10255⇌⫙⪟(↹⩛21005∑⇟⊟↹⩛11314))⨥⫆(⨈⫕(↹⩛11050↸↹⩛12541))⨔≚≋(↹⩛53520⨎↹⩛4545⪛⫼(≱⇩⩕↹⩛13122)∙∹∝((↹⩛21223⪨⊡↹⩛52354)⫭))","cot":[{"info":"↹⩛12344⇴↹⩛10255=↹⩛142552","layer":3},{"info":"↹⩛21005∑⇟⊟↹⩛11314=NaN","layer":3},{"info":"↹⩛142552⇌⫙⪟NaN=NaN","layer":2},{"info":"↹⩛11050↸↹⩛12541=↹⩛11050","layer":3},{"info":"⨈⫕↹⩛11050=↹⩛-33","layer":2},{"info":"NaN⨥⫆↹⩛-33=NaN","layer":1},{"info":"↹⩛53520⨎↹⩛4545=↹⩛4545","layer":3},{"info":"≱⇩⩕↹⩛13122=↹⩛305","layer":3},{"info":"↹⩛4545⪛⫼↹⩛305=↹⩛4252","layer":2},{"info":"↹⩛21223⪨⊡↹⩛52354=↹⩛0","layer":3},{"info":"↹⩛0⫭=↹⩛1041","layer":2},{"info":"↹⩛4252∙∹∝↹⩛1041=↹⩛0","layer":1},{"info":"NaN⨔≚≋↹⩛0=NaN","layer":0}]} +{"id":85,"expression_no_base_symbol":"((≘(⇠$2473$))↓(⩎⋉($2261$≌$8314$)))∺≝⩲(⋠∜($1480$↼⊘⨖$1114$)⨑⩅≇($1992$⨪↰⇹$3699$))","expression":"((≘(⇠↹⩛15241))↓(⩎⋉(↹⩛14245≌↹⩛102254)))∺≝⩲(⋠∜(↹⩛10504↼⊘⨖↹⩛5054)⨑⩅≇(↹⩛13120⨪↰⇹↹⩛25043))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13056,"operation_count":10,"complexity_ratio":1305.6,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2473,"base":6}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2261,"base":6},"right_expr":{"type":"numeric_atoms","value":8314,"base":6}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1480,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1992,"base":6},"right_expr":{"type":"numeric_atoms","value":3699,"base":6}}}}},"used_operators":["KPf6cnQVty","Af076pWI7l","tcjXMdvYtA","18saOjeKKm","FlXk3pOYe8","lyWz822IDG","ZJpFhNJr3x","h92wMvzauj","bPywburJMS","tmPS8pqC7x"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rJVOvQCfKK"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2231","layer":3},{"info":"compute unary expreesion, input=-2231, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=1311566","layer":2},{"info":"number node, value=2261","layer":4},{"info":"number node, value=8314","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=8314, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1311566, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1114, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2006","layer":3},{"info":"number node, value=1992","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=3699, 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=1992","layer":3},{"info":"compute binary expreesion, left_input=2006, right_input=1992, 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=-6018","layer":2},{"info":"compute unary expreesion, input=-6018, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-21788","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-21788, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((≘(⇠↹⩛15241))↓(⩎⋉(↹⩛14245≌↹⩛102254)))∺≝⩲(⋠∜(↹⩛10504↼⊘⨖↹⩛5054)⨑⩅≇(↹⩛13120⨪↰⇹↹⩛25043))=↹⩛424","reverse_text":"↹⩛424=((≘(⇠↹⩛15241))↓(⩎⋉(↹⩛14245≌↹⩛102254)))∺≝⩲(⋠∜(↹⩛10504↼⊘⨖↹⩛5054)⨑⩅≇(↹⩛13120⨪↰⇹↹⩛25043))","cot":[{"info":"⇠↹⩛15241=↹⩛-14155","layer":3},{"info":"≘↹⩛-14155=↹⩛44040022","layer":2},{"info":"↹⩛14245≌↹⩛102254=NaN","layer":3},{"info":"⩎⋉NaN=NaN","layer":2},{"info":"↹⩛44040022↓NaN=↹⩛-342","layer":1},{"info":"↹⩛10504↼⊘⨖↹⩛5054=↹⩛13142","layer":3},{"info":"↹⩛13120⨪↰⇹↹⩛25043=↹⩛13120","layer":3},{"info":"↹⩛13142⨑⩅≇↹⩛13120=↹⩛-43510","layer":2},{"info":"⋠∜↹⩛-43510=↹⩛-244512","layer":1},{"info":"↹⩛-342∺≝⩲↹⩛-244512=↹⩛424","layer":0}]} +{"id":86,"expression_no_base_symbol":"($3439$≀⫉$2405$↡⊰⫅$2696$∑⇟⊟$1100$)≀⫉($2316$⨓$2331$)⨚($2788$≬⋮$1253$)∠↢(($3395$↛⩡⫤)⩺⪪($6860$⋹))⪛⫼(≔(⨵$2569$))","expression":"(↹⩛23531≀⫉↹⩛15045↡⊰⫅↹⩛20252∑⇟⊟↹⩛5032)≀⫉(↹⩛14420⨓↹⩛14443)⨚(↹⩛20524≬⋮↹⩛5445)∠↢((↹⩛23415↛⩡⫤)⩺⪪(↹⩛51432⋹))⪛⫼(≔(⨵↹⩛15521))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13424,"operation_count":14,"complexity_ratio":958.8571428571429,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3439,"base":6},"right_expr":{"type":"numeric_atoms","value":2405,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2696,"base":6},"right_expr":{"type":"numeric_atoms","value":1100,"base":6}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2316,"base":6},"right_expr":{"type":"numeric_atoms","value":2331,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2788,"base":6},"right_expr":{"type":"numeric_atoms","value":1253,"base":6}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3395,"base":6}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":6860,"base":6}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2569,"base":6}}}}},"used_operators":["KbjG8mgYpV","oZj3VtZNQx","VCtxkLNOzz","U7g4x0WXJJ","nREPSIbpBE","3ViojmjbAp","kbkesczE7y","hyuBjUqXlG","uvdQJvN4PV","FU0Cs4j7VP","opAxDRczMr","8FLs4eVsLt","Tl3Y52tvF8"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","BjRHVeLaeN","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3439","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=2405, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2696","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=1100, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=2316","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=2331, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2334","layer":3},{"info":"number node, value=2788","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=1253, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-2334, right_input=868, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7206","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7206, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"number node, value=3395","layer":4},{"info":"compute unary expreesion, input=3395, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-508734","layer":3},{"info":"number node, value=6860","layer":4},{"info":"compute unary expreesion, input=6860, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=-508734, right_input=-20, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=2569","layer":4},{"info":"compute unary expreesion, input=2569, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-21761","layer":3},{"info":"compute unary expreesion, input=-21761, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=610602","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=610602, 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=nan, right_input=968, 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":6,"result_base":6,"text":"(↹⩛23531≀⫉↹⩛15045↡⊰⫅↹⩛20252∑⇟⊟↹⩛5032)≀⫉(↹⩛14420⨓↹⩛14443)⨚(↹⩛20524≬⋮↹⩛5445)∠↢((↹⩛23415↛⩡⫤)⩺⪪(↹⩛51432⋹))⪛⫼(≔(⨵↹⩛15521))=NaN","reverse_text":"NaN=(↹⩛23531≀⫉↹⩛15045↡⊰⫅↹⩛20252∑⇟⊟↹⩛5032)≀⫉(↹⩛14420⨓↹⩛14443)⨚(↹⩛20524≬⋮↹⩛5445)∠↢((↹⩛23415↛⩡⫤)⩺⪪(↹⩛51432⋹))⪛⫼(≔(⨵↹⩛15521))","cot":[{"info":"↹⩛23531≀⫉↹⩛15045=↹⩛21022","layer":3},{"info":"↹⩛20252∑⇟⊟↹⩛5032=NaN","layer":3},{"info":"↹⩛21022↡⊰⫅NaN=NaN","layer":2},{"info":"↹⩛14420⨓↹⩛14443=↹⩛-14450","layer":3},{"info":"↹⩛20524≬⋮↹⩛5445=↹⩛4004","layer":3},{"info":"↹⩛-14450⨚↹⩛4004=↹⩛-53210","layer":2},{"info":"NaN≀⫉↹⩛-53210=NaN","layer":1},{"info":"↹⩛23415↛⩡⫤=↹⩛-14523130","layer":3},{"info":"↹⩛51432⋹=↹⩛-32","layer":3},{"info":"↹⩛-14523130⩺⪪↹⩛-32=↹⩛-12230","layer":2},{"info":"⨵↹⩛15521=↹⩛-244425","layer":3},{"info":"≔↹⩛-244425=↹⩛21030510","layer":2},{"info":"↹⩛-12230⪛⫼↹⩛21030510=↹⩛4252","layer":1},{"info":"NaN∠↢↹⩛4252=NaN","layer":0}]} +{"id":87,"expression_no_base_symbol":"(⪭⩑⪱$4425$∌$4531$)⇍⊗(⇖($1646$⫩))⪮%⊝(($4081$⨑⩅≇$4501$⪨≂$6248$+⪬∐$3425$)≄⊠(∮(∮$2835$)))","expression":"(⪭⩑⪱↹⩛32253∌↹⩛32551)⇍⊗(⇖(↹⩛11342⫩))⪮%⊝((↹⩛30521⨑⩅≇↹⩛32501⪨≂↹⩛44532+⪬∐↹⩛23505)≄⊠(∮(∮↹⩛21043)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70072,"operation_count":12,"complexity_ratio":5839.333333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4425,"base":6},"right_expr":{"type":"numeric_atoms","value":4531,"base":6}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1646,"base":6}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4081,"base":6},"right_expr":{"type":"numeric_atoms","value":4501,"base":6}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6248,"base":6},"right_expr":{"type":"numeric_atoms","value":3425,"base":6}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2835,"base":6}}}}},"used_operators":["IWmyXbctLI","5uvYHDjeKN","SIgE0bArFf","8cLx32lpNA","tfWHHpNKUN","6aG7x05OhS","vXNesLlMH1","sdazOOVcIp","h92wMvzauj","2GS7woTJqF","CqXKPLVYql"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","2DQ55sFlQl","dWAJyo7jo9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛-444","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4425","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=4531, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4531","layer":3},{"info":"compute unary expreesion, input=-4531, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=160, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=4081","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=4081, right_input=4501, 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=-12243","layer":3},{"info":"number node, value=6248","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=6248, right_input=3425, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-18744","layer":3},{"info":"compute binary expreesion, left_input=-12243, right_input=-18744, 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=13104","layer":2},{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238069","layer":2},{"info":"compute binary expreesion, left_input=13104, right_input=-238069, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=1500, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-172","layer":0}],"base":6,"result_base":6,"text":"(⪭⩑⪱↹⩛32253∌↹⩛32551)⇍⊗(⇖(↹⩛11342⫩))⪮%⊝((↹⩛30521⨑⩅≇↹⩛32501⪨≂↹⩛44532+⪬∐↹⩛23505)≄⊠(∮(∮↹⩛21043)))=↹⩛-444","reverse_text":"↹⩛-444=(⪭⩑⪱↹⩛32253∌↹⩛32551)⇍⊗(⇖(↹⩛11342⫩))⪮%⊝((↹⩛30521⨑⩅≇↹⩛32501⪨≂↹⩛44532+⪬∐↹⩛23505)≄⊠(∮(∮↹⩛21043)))","cot":[{"info":"↹⩛32253∌↹⩛32551=↹⩛-32551","layer":3},{"info":"⪭⩑⪱↹⩛-32551=↹⩛454202000","layer":2},{"info":"↹⩛11342⫩=NaN","layer":3},{"info":"⇖NaN=↹⩛424","layer":2},{"info":"↹⩛454202000⇍⊗↹⩛424=↹⩛-1044","layer":1},{"info":"↹⩛30521⨑⩅≇↹⩛32501=↹⩛-132403","layer":3},{"info":"↹⩛44532+⪬∐↹⩛23505=↹⩛-222440","layer":3},{"info":"↹⩛-132403⪨≂↹⩛-222440=↹⩛140400","layer":2},{"info":"∮↹⩛21043=↹⩛151","layer":3},{"info":"∮↹⩛151=↹⩛-5034101","layer":2},{"info":"↹⩛140400≄⊠↹⩛-5034101=↹⩛10540","layer":1},{"info":"↹⩛-1044⪮%⊝↹⩛10540=↹⩛-444","layer":0}]} +{"id":88,"expression_no_base_symbol":"(($1045$⇚⪠)+⇶⊼$1422$⨜⨶$1210$⋳⪒(⨩∲⋌($3592$⊉↱≁$1705$)))⪕(($2549$⫚↹⊑$1055$)⫸⇳(⫟$2963$)⩹(≪$4516$)↺$9679$⫲≸⪮$3556$)","expression":"((↹⩛4501⇚⪠)+⇶⊼↹⩛10330⨜⨶↹⩛5334⋳⪒(⨩∲⋌(↹⩛24344⊉↱≁↹⩛11521)))⪕((↹⩛15445⫚↹⊑↹⩛4515)⫸⇳(⫟↹⩛21415)⩹(≪↹⩛32524)↺↹⩛112451⫲≸⪮↹⩛24244)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10931,"operation_count":14,"complexity_ratio":780.7857142857143,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1045,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1422,"base":6},"right_expr":{"type":"numeric_atoms","value":1210,"base":6}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3592,"base":6},"right_expr":{"type":"numeric_atoms","value":1705,"base":6}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2549,"base":6},"right_expr":{"type":"numeric_atoms","value":1055,"base":6}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2963,"base":6}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":4516,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":9679,"base":6},"right_expr":{"type":"numeric_atoms","value":3556,"base":6}}}}},"used_operators":["umQnsF7QlU","12rbrZMWeM","TpPTUOHfaN","Loh9y4A90B","HiPekx5b7W","aSik1wnThz","w2P8NbNXyL","2Wsdkap16l","gx7XJ7hdpj","dfKe02y8D2","z4E1FaHLuy","7j4O788W3g","Qtd6bqUJcN","P3lXMJvFrc"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=2184050","layer":3},{"info":"number node, value=1422","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=1210, 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=-2164","layer":3},{"info":"compute binary expreesion, left_input=2184050, right_input=-2164, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3592","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=1705, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=25638","layer":3},{"info":"compute unary expreesion, input=25638, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-26161","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26161, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=2549","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=1055, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2963","layer":4},{"info":"compute unary expreesion, input=2963, 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=-7982","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-7982, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=4516","layer":4},{"info":"compute unary expreesion, input=4516, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=9679","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=9679, right_input=3556, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=9679","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=9679, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9679","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9679, 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=9677","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9677, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4501⇚⪠)+⇶⊼↹⩛10330⨜⨶↹⩛5334⋳⪒(⨩∲⋌(↹⩛24344⊉↱≁↹⩛11521)))⪕((↹⩛15445⫚↹⊑↹⩛4515)⫸⇳(⫟↹⩛21415)⩹(≪↹⩛32524)↺↹⩛112451⫲≸⪮↹⩛24244)=NaN","reverse_text":"NaN=((↹⩛4501⇚⪠)+⇶⊼↹⩛10330⨜⨶↹⩛5334⋳⪒(⨩∲⋌(↹⩛24344⊉↱≁↹⩛11521)))⪕((↹⩛15445⫚↹⊑↹⩛4515)⫸⇳(⫟↹⩛21415)⩹(≪↹⩛32524)↺↹⩛112451⫲≸⪮↹⩛24244)","cot":[{"info":"↹⩛4501⇚⪠=↹⩛114451202","layer":3},{"info":"↹⩛10330⨜⨶↹⩛5334=↹⩛-14004","layer":3},{"info":"↹⩛114451202+⇶⊼↹⩛-14004=NaN","layer":2},{"info":"↹⩛24344⊉↱≁↹⩛11521=↹⩛314410","layer":3},{"info":"⨩∲⋌↹⩛314410=↹⩛-321041","layer":2},{"info":"NaN⋳⪒↹⩛-321041=NaN","layer":1},{"info":"↹⩛15445⫚↹⊑↹⩛4515=↹⩛-2023","layer":3},{"info":"⫟↹⩛21415=↹⩛-100542","layer":3},{"info":"↹⩛-2023⫸⇳↹⩛-100542=↹⩛0","layer":2},{"info":"≪↹⩛32524=↹⩛4121","layer":3},{"info":"↹⩛112451⫲≸⪮↹⩛24244=↹⩛112451","layer":3},{"info":"↹⩛4121↺↹⩛112451=↹⩛112451","layer":2},{"info":"↹⩛0⩹↹⩛112451=↹⩛112445","layer":1},{"info":"NaN⪕↹⩛112445=NaN","layer":0}]} +{"id":89,"expression_no_base_symbol":"⇠(∓(⊲⪭$5227$)⨂≜($2214$⨽$2491$))","expression":"⇠(∓(⊲⪭↹⩛40111)⨂≜(↹⩛14130⨽↹⩛15311))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7690,"operation_count":5,"complexity_ratio":1538.0,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":5227,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2214,"base":6},"right_expr":{"type":"numeric_atoms","value":2491,"base":6}}}}},"used_operators":["18saOjeKKm","OwUj7dcsQK","k1SHOSEABc","k7HXdKtiEU","8HhzD0ZcuI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","i8ToyICDmI","xUOZtlo3hN","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5227","layer":4},{"info":"compute unary expreesion, input=5227, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-5401","layer":3},{"info":"number node, value=2214","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=2491, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14711547","layer":3},{"info":"compute binary expreesion, left_input=-5401, right_input=-14711547, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇠(∓(⊲⪭↹⩛40111)⨂≜(↹⩛14130⨽↹⩛15311))=NaN","reverse_text":"NaN=⇠(∓(⊲⪭↹⩛40111)⨂≜(↹⩛14130⨽↹⩛15311))","cot":[{"info":"⊲⪭↹⩛40111=↹⩛-41001","layer":3},{"info":"↹⩛14130⨽↹⩛15311=↹⩛-1243153003","layer":3},{"info":"↹⩛-41001⨂≜↹⩛-1243153003=NaN","layer":2},{"info":"∓NaN=NaN","layer":1},{"info":"⇠NaN=NaN","layer":0}]} +{"id":90,"expression_no_base_symbol":"((⋗⩬⋾($2341$⨵⪆$1372$))⇼⇔∾($2813$≠≀$5215$)⫣⪄⊒($3496$⨰$1073$))⨐(⇨($3933$⋹⋡⊁$4563$)⪃⊛⇣($2933$⪛⫼$5391$))","expression":"((⋗⩬⋾(↹⩛14501⨵⪆↹⩛10204))⇼⇔∾(↹⩛21005≠≀↹⩛40051)⫣⪄⊒(↹⩛24104⨰↹⩛4545))⨐(⇨(↹⩛30113⋹⋡⊁↹⩛33043)⪃⊛⇣(↹⩛21325⪛⫼↹⩛40543))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":63301,"operation_count":11,"complexity_ratio":5754.636363636364,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2341,"base":6},"right_expr":{"type":"numeric_atoms","value":1372,"base":6}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2813,"base":6},"right_expr":{"type":"numeric_atoms","value":5215,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3496,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3933,"base":6},"right_expr":{"type":"numeric_atoms","value":4563,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2933,"base":6},"right_expr":{"type":"numeric_atoms","value":5391,"base":6}}}}},"used_operators":["Noe24qw2ks","tifHPKVTfV","DpFCA1CohY","2DQ55sFlQl","RabNbG55vr","IwW236VD4Y","eewbuw0ToL","G9tJMlZ94a","rrgAzCduG9","As8RqfVLgs","hyuBjUqXlG"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"↹⩛231052","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2341","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=1372, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":2},{"info":"number node, value=2813","layer":4},{"info":"number node, value=5215","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=5215, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5320","layer":3},{"info":"number node, value=3496","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=3496, right_input=1073, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2433","layer":3},{"info":"compute binary expreesion, left_input=-5320, right_input=2433, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10324","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-10324, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-9844","layer":1},{"info":"number node, value=3933","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=4563, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5313","layer":3},{"info":"number node, value=2933","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=5391, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=5313, right_input=968, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-9844, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=19688","layer":0}],"base":6,"result_base":6,"text":"((⋗⩬⋾(↹⩛14501⨵⪆↹⩛10204))⇼⇔∾(↹⩛21005≠≀↹⩛40051)⫣⪄⊒(↹⩛24104⨰↹⩛4545))⨐(⇨(↹⩛30113⋹⋡⊁↹⩛33043)⪃⊛⇣(↹⩛21325⪛⫼↹⩛40543))=↹⩛231052","reverse_text":"↹⩛231052=((⋗⩬⋾(↹⩛14501⨵⪆↹⩛10204))⇼⇔∾(↹⩛21005≠≀↹⩛40051)⫣⪄⊒(↹⩛24104⨰↹⩛4545))⨐(⇨(↹⩛30113⋹⋡⊁↹⩛33043)⪃⊛⇣(↹⩛21325⪛⫼↹⩛40543))","cot":[{"info":"↹⩛14501⨵⪆↹⩛10204=↹⩛424","layer":3},{"info":"⋗⩬⋾↹⩛424=↹⩛-2120","layer":2},{"info":"↹⩛21005≠≀↹⩛40051=↹⩛-40344","layer":3},{"info":"↹⩛24104⨰��⩛4545=↹⩛15133","layer":3},{"info":"↹⩛-40344⫣⪄⊒↹⩛15133=↹⩛-115444","layer":2},{"info":"↹⩛-2120⇼⇔∾↹⩛-115444=↹⩛-113324","layer":1},{"info":"↹⩛30113⋹⋡⊁↹⩛33043=↹⩛40333","layer":3},{"info":"↹⩛21325⪛⫼↹⩛40543=↹⩛4252","layer":3},{"info":"↹⩛40333⪃⊛⇣↹⩛4252=↹⩛5414","layer":2},{"info":"⇨↹⩛5414=↹⩛0","layer":1},{"info":"↹⩛-113324⨐↹⩛0=↹⩛231052","layer":0}]} +{"id":91,"expression_no_base_symbol":"((↞≼($3448$∙⊟$3471$))+(∑⇻≧$6095$≭$1163$))∊∟⩊(⨛($4893$⊍⩺⋍$3903$)⨥⫆($2843$⩵∡$2475$))","expression":"((↞≼(↹⩛23544∙⊟↹⩛24023))+(∑⇻≧↹⩛44115≭↹⩛5215))∊∟⩊(⨛(↹⩛34353⊍⩺⋍↹⩛30023)⨥⫆(↹⩛21055⩵∡↹⩛15243))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12361,"operation_count":10,"complexity_ratio":1236.1,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3448,"base":6},"right_expr":{"type":"numeric_atoms","value":3471,"base":6}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6095,"base":6},"right_expr":{"type":"numeric_atoms","value":1163,"base":6}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4893,"base":6},"right_expr":{"type":"numeric_atoms","value":3903,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2843,"base":6},"right_expr":{"type":"numeric_atoms","value":2475,"base":6}}}}},"used_operators":["ddLRYrp01A","W4YGzv6Whe","DE7zCoGJt9","SxTAKzQCrw","l1M9WJ3V7u","rxpJgHHUmx","CoMdbyAt7R","yXekIHxTD4","OXDGMFPWZM","Y7wcNGrDQJ"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","AHs5Up7iyr","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"↹⩛112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3448","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=3448, right_input=3471, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=54670","layer":3},{"info":"compute unary expreesion, input=54670, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=436946","layer":2},{"info":"number node, value=6095","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=6095, right_input=1163, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=436946, right_input=-852, op_id = W4YGzv6Whe binary_op_definition= 'None', output=436094","layer":1},{"info":"number node, value=4893","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=3903, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2843","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=2475, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3332, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=436094, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=44","layer":0}],"base":6,"result_base":6,"text":"((↞≼(↹⩛23544∙⊟↹⩛24023))+(∑⇻≧↹⩛44115��↹⩛5215))∊∟⩊(⨛(↹⩛34353⊍⩺⋍↹⩛30023)⨥⫆(↹⩛21055⩵∡↹⩛15243))=↹⩛112","reverse_text":"↹⩛112=((↞≼(↹⩛23544∙⊟↹⩛24023))+(∑⇻≧↹⩛44115≭↹⩛5215))∊∟⩊(⨛(↹⩛34353⊍⩺⋍↹⩛30023)⨥⫆(↹⩛21055⩵∡↹⩛15243))","cot":[{"info":"↹⩛23544∙⊟↹⩛24023=↹⩛1101034","layer":3},{"info":"↞≼↹⩛1101034=↹⩛13210522","layer":2},{"info":"↹⩛44115≭↹⩛5215=NaN","layer":3},{"info":"∑⇻≧NaN=↹⩛-3540","layer":2},{"info":"↹⩛13210522+↹⩛-3540=↹⩛13202542","layer":1},{"info":"↹⩛34353⊍⩺⋍↹⩛30023=NaN","layer":3},{"info":"↹⩛21055⩵∡↹⩛15243=↹⩛-23232","layer":3},{"info":"NaN⨥⫆↹⩛-23232=NaN","layer":2},{"info":"⨛NaN=NaN","layer":1},{"info":"↹⩛13202542∊∟⩊NaN=↹⩛112","layer":0}]} +{"id":92,"expression_no_base_symbol":"⋎⨆(⨩∲⋌($2853$≎⊠⪸$1534$)⊕∕($1219$-$2836$))","expression":"⋎⨆(⨩∲⋌(↹⩛21113≎⊠⪸↹⩛11034)⊕∕(↹⩛5351-↹⩛21044))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":518,"operation_count":5,"complexity_ratio":103.6,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2853,"base":6},"right_expr":{"type":"numeric_atoms","value":1534,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1219,"base":6},"right_expr":{"type":"numeric_atoms","value":2836,"base":6}}}}},"used_operators":["E64sFOc4tB","aSik1wnThz","9cloC0Ngie","bJkvcejdHO","rysDP5nf3Z"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2853","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=1534, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=738454","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2836, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1617","layer":3},{"info":"compute binary expreesion, left_input=738454, right_input=-1617, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=738454","layer":2},{"info":"compute unary expreesion, input=738454, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-738977","layer":1},{"info":"compute unary expreesion, input=-738977, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⋎⨆(⨩∲⋌(↹⩛21113≎⊠⪸↹⩛11034)⊕∕(↹⩛5351-↹⩛21044))=↹⩛454202000","reverse_text":"↹⩛454202000=⋎⨆(⨩∲⋌(↹⩛21113≎⊠⪸↹⩛11034)⊕∕(↹⩛5351-↹⩛21044))","cot":[{"info":"↹⩛21113≎⊠⪸↹⩛11034=↹⩛23454434","layer":3},{"info":"↹⩛5351-↹⩛21044=↹⩛-11253","layer":3},{"info":"↹⩛23454434⊕∕↹⩛-11253=↹⩛23454434","layer":2},{"info":"⨩∲⋌↹⩛23454434=↹⩛-23501105","layer":1},{"info":"⋎⨆↹⩛-23501105=↹⩛454202000","layer":0}]} +{"id":93,"expression_no_base_symbol":"(($4741$↙$2253$+($1340$+$6888$))⩨($9067$∀⇚≩$9641$)∥⊢⊲$1237$⩣⫁∢$7916$)⫒⫫(∤($3571$∟)⪟⇏(⨰⫟⨤$1212$))","expression":"((↹⩛33541↙↹⩛14233+(↹⩛10112+↹⩛51520))⩨(↹⩛105551∀⇚≩↹⩛112345)∥⊢⊲↹⩛5421⩣⫁∢↹⩛100352)⫒⫫(∤(↹⩛24311∟)⪟⇏(⨰⫟⨤↹⩛5340))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69861,"operation_count":12,"complexity_ratio":5821.75,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4741,"base":6},"right_expr":{"type":"numeric_atoms","value":2253,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1340,"base":6},"right_expr":{"type":"numeric_atoms","value":6888,"base":6}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9067,"base":6},"right_expr":{"type":"numeric_atoms","value":9641,"base":6}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1237,"base":6},"right_expr":{"type":"numeric_atoms","value":7916,"base":6}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":3571,"base":6}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1212,"base":6}}}}},"used_operators":["6Ko8hGgeMq","2DlMacCsIx","W4YGzv6Whe","yyfyN0ffXY","v1UQAVDJRr","LRNGc0VcxI","JDUIKTTSIa","k2HlF1dBQh","GODebY97qR","hTbEZDJLEm","Tw270M8GLb"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","EBcxylXtPf","rGHVDoGpnC","X99M06cbEe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4741","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=4741, right_input=2253, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6759","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=6888","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=6888, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8228","layer":3},{"info":"compute binary expreesion, left_input=-6759, right_input=8228, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1469","layer":2},{"info":"number node, value=9067","layer":4},{"info":"number node, value=9641","layer":4},{"info":"compute binary expreesion, left_input=9067, right_input=9641, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=7916","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=7916, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2313","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2313, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-2313","layer":2},{"info":"compute binary expreesion, left_input=1469, right_input=-2313, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":1},{"info":"number node, value=3571","layer":4},{"info":"compute unary expreesion, input=3571, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=9, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":0}],"base":6,"result_base":6,"text":"((↹⩛33541↙↹⩛14233+(↹⩛10112+↹⩛51520))⩨(↹⩛105551∀⇚≩↹⩛112345)∥⊢⊲↹⩛5421⩣⫁∢↹⩛100352)⫒⫫(∤(↹⩛24311∟)⪟⇏(⨰⫟⨤↹⩛5340))=↹⩛305","reverse_text":"↹⩛305=((↹⩛33541↙↹⩛14233+(↹⩛10112+↹⩛51520))⩨(↹⩛105551∀⇚≩↹⩛112345)∥⊢⊲↹⩛5421⩣⫁∢↹⩛100352)⫒⫫(∤(↹⩛24311∟)⪟⇏(⨰⫟⨤↹⩛5340))","cot":[{"info":"↹⩛33541↙↹⩛14233=↹⩛-51143","layer":3},{"info":"↹⩛10112+↹⩛51520=↹⩛102032","layer":3},{"info":"↹⩛-51143+↹⩛102032=↹⩛10445","layer":2},{"info":"↹⩛105551∀⇚≩↹⩛112345=NaN","layer":3},{"info":"↹⩛5421⩣⫁∢↹⩛100352=↹⩛-14413","layer":3},{"info":"NaN∥⊢⊲↹⩛-14413=↹⩛-14413","layer":2},{"info":"↹⩛10445⩨↹⩛-14413=↹⩛10","layer":1},{"info":"↹⩛24311∟=↹⩛305","layer":3},{"info":"⨰⫟⨤↹⩛5340=NaN","layer":3},{"info":"↹⩛305⪟⇏NaN=↹⩛0","layer":2},{"info":"∤↹⩛0=↹⩛13","layer":1},{"info":"↹⩛10⫒⫫↹⩛13=↹⩛305","layer":0}]} +{"id":94,"expression_no_base_symbol":"(($3221$⩚⊴⇥$1851$⫡⨏$2086$⊾⪯⋞$1627$)⊹∫⫚(($4933$⩺⪪$1681$)⫚⫇))⩁⩘(≇⪴$1058$⨽∌$2434$)⊉↱≁(↪⫪⫘$1030$)∊∟⩊($3737$∠⫱$3741$)","expression":"((↹⩛22525⩚⊴⇥↹⩛12323⫡⨏↹⩛13354⊾⪯⋞↹⩛11311)⊹∫⫚((↹⩛34501⩺⪪↹⩛11441)⫚⫇))⩁⩘(≇⪴↹⩛4522⨽∌↹⩛15134)⊉↱≁(↪⫪⫘↹⩛4434)∊∟⩊(↹⩛25145∠⫱↹⩛25153)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":415,"operation_count":13,"complexity_ratio":31.923076923076923,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3221,"base":6},"right_expr":{"type":"numeric_atoms","value":1851,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2086,"base":6},"right_expr":{"type":"numeric_atoms","value":1627,"base":6}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4933,"base":6},"right_expr":{"type":"numeric_atoms","value":1681,"base":6}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1058,"base":6},"right_expr":{"type":"numeric_atoms","value":2434,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1030,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3737,"base":6},"right_expr":{"type":"numeric_atoms","value":3741,"base":6}}}}},"used_operators":["gub5Cegaqo","uWAJUKEvyW","QMFrweE19q","NTOWxs364D","HK0tfVPux8","SdCjLnB6rR","uvdQJvN4PV","w2P8NbNXyL","zoVPnxeHJ3","9samAPKr6k","ddLRYrp01A","9dWsAM3GFt","QvoQhV0rrE"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"↹⩛-413204","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3221","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=1851, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5193","layer":3},{"info":"number node, value=2086","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=1627, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2828","layer":3},{"info":"compute binary expreesion, left_input=-5193, right_input=2828, 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=-19526","layer":2},{"info":"number node, value=4933","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=1681, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-52930","layer":3},{"info":"compute unary expreesion, input=-52930, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"compute binary expreesion, left_input=-19526, right_input=-522, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-108","layer":1},{"info":"number node, value=1058","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=2434, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=0","layer":2},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=3737","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=3741, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=1234, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-8518","layer":1},{"info":"compute binary expreesion, left_input=-108, right_input=-8518, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-33124","layer":0}],"base":6,"result_base":6,"text":"((↹⩛22525⩚⊴⇥↹⩛12323⫡⨏↹⩛13354⊾⪯⋞↹⩛11311)⊹∫⫚((↹⩛34501⩺⪪↹⩛11441)⫚⫇))⩁⩘(≇⪴↹⩛4522⨽∌↹⩛15134)⊉↱≁(↪⫪⫘↹⩛4434)∊∟⩊(↹⩛25145∠⫱↹⩛25153)=↹⩛-413204","reverse_text":"↹⩛-413204=((↹⩛22525⩚⊴⇥↹⩛12323⫡⨏↹⩛13354⊾⪯⋞↹⩛11311)⊹∫⫚((↹⩛34501⩺⪪↹⩛11441)⫚⫇))⩁⩘(≇⪴↹⩛4522⨽∌↹⩛15134)⊉↱≁(↪⫪⫘↹⩛4434)∊∟⩊(↹⩛25145∠⫱↹⩛25153)","cot":[{"info":"↹⩛22525⩚⊴⇥↹⩛12323=↹⩛-40013","layer":3},{"info":"↹⩛13354⊾⪯⋞↹⩛11311=↹⩛21032","layer":3},{"info":"↹⩛-40013⫡⨏↹⩛21032=↹⩛-230222","layer":2},{"info":"↹⩛34501⩺⪪↹⩛11441=↹⩛-1045014","layer":3},{"info":"↹⩛-1045014⫚⫇=↹⩛-2230","layer":2},{"info":"↹⩛-230222⊹∫⫚↹⩛-2230=↹⩛-300","layer":1},{"info":"↹⩛4522⨽∌↹⩛15134=↹⩛0","layer":3},{"info":"≇⪴↹⩛0=↹⩛0","layer":2},{"info":"↪⫪⫘↹⩛4434=↹⩛32","layer":3},{"info":"↹⩛25145∠⫱↹⩛25153=↹⩛5414","layer":3},{"info":"↹⩛32∊∟⩊↹⩛5414=↹⩛5414","layer":2},{"info":"↹⩛0⊉↱≁↹⩛5414=↹⩛-103234","layer":1},{"info":"↹⩛-300⩁⩘↹⩛-103234=↹⩛-413204","layer":0}]} +{"id":95,"expression_no_base_symbol":"($1020$⪎↠$3750$↳∿⪆($1208$⨻⩈⩔$1028$)⇼⇔∾(⫛⫱⨽$4699$⊮⊟↴$3250$))⪚((≛($3973$⋻⩜⩜$1021$))⪍↜⋙(⪫⨮⊛($1063$⫣⪄⊒$1820$)))","expression":"(↹⩛4420⪎↠↹⩛25210↳∿⪆(↹⩛5332⨻⩈⩔↹⩛4432)⇼⇔∾(⫛⫱⨽↹⩛33431⊮⊟↴↹⩛23014))⪚((≛(↹⩛30221⋻⩜⩜↹⩛4421))⪍↜⋙(⪫⨮⊛(↹⩛4531⫣⪄⊒↹⩛12232)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":200603,"operation_count":12,"complexity_ratio":16716.916666666668,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1020,"base":6},"right_expr":{"type":"numeric_atoms","value":3750,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1208,"base":6},"right_expr":{"type":"numeric_atoms","value":1028,"base":6}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4699,"base":6},"right_expr":{"type":"numeric_atoms","value":3250,"base":6}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3973,"base":6},"right_expr":{"type":"numeric_atoms","value":1021,"base":6}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1063,"base":6},"right_expr":{"type":"numeric_atoms","value":1820,"base":6}}}}},"used_operators":["HrjLwUk87U","tifHPKVTfV","Cw4SuJJGHO","3tVxb0NHM4","nEsXyWgiOK","DlLNRPXxWL","QDVgd2eftb","L05ObWFQCd","W7eaUhjymW","oDCm7WA9JY","w5FWba1tyO","RabNbG55vr"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rGHVDoGpnC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3750, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1028, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-174, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=4699","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=3250, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3973","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=1021, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7946","layer":3},{"info":"compute unary expreesion, input=7946, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1820, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9306","layer":3},{"info":"compute unary expreesion, input=-9306, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4420⪎↠↹⩛25210↳∿⪆(↹⩛5332⨻⩈⩔↹⩛4432)⇼⇔∾(⫛⫱⨽↹⩛33431⊮⊟↴↹⩛23014))⪚((≛(↹⩛30221⋻⩜⩜↹⩛4421))⪍↜⋙(⪫⨮⊛(↹⩛4531⫣⪄⊒↹⩛12232)))=NaN","reverse_text":"NaN=(↹⩛4420⪎↠↹⩛25210↳∿⪆(↹⩛5332⨻⩈⩔↹⩛4432)⇼⇔∾(⫛⫱⨽↹⩛33431⊮⊟↴↹⩛23014))⪚((≛(↹⩛30221⋻⩜⩜↹⩛4421))⪍↜⋙(⪫⨮⊛(↹⩛4531⫣⪄⊒↹⩛12232)))","cot":[{"info":"↹⩛4420⪎↠↹⩛25210=↹⩛424","layer":3},{"info":"↹⩛5332⨻⩈⩔↹⩛4432=↹⩛-450","layer":3},{"info":"↹⩛424↳∿⪆↹⩛-450=NaN","layer":2},{"info":"↹⩛33431⊮⊟↴↹⩛23014=↹⩛0","layer":3},{"info":"⫛⫱⨽↹⩛0=↹⩛0","layer":2},{"info":"NaN⇼⇔∾↹⩛0=NaN","layer":1},{"info":"↹⩛30221⋻⩜⩜↹⩛4421=↹⩛100442","layer":3},{"info":"≛↹⩛100442=↹⩛-14","layer":2},{"info":"↹⩛4531⫣⪄⊒↹⩛12232=↹⩛-111030","layer":3},{"info":"⪫⨮⊛↹⩛-111030=NaN","layer":2},{"info":"↹⩛-14⪍↜⋙NaN=NaN","layer":1},{"info":"NaN⪚NaN=NaN","layer":0}]} +{"id":96,"expression_no_base_symbol":"↸⊣(≛(⋗⩴⪓$5744$)≒∊$7614$≌$1908$)","expression":"↸⊣(≛(⋗⩴⪓↹⩛42332)≒∊↹⩛55130≌↹⩛12500)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7867,"operation_count":5,"complexity_ratio":1573.4,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":5744,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7614,"base":6},"right_expr":{"type":"numeric_atoms","value":1908,"base":6}}}}},"used_operators":["wztAlM01eG","W7eaUhjymW","5KTvxBwnZo","nOKPl9n5zu","lyWz822IDG"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5744","layer":4},{"info":"compute unary expreesion, input=5744, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4831","layer":3},{"info":"number node, value=7614","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=7614, right_input=1908, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4831, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↸⊣(≛(⋗⩴⪓↹⩛42332)≒∊↹⩛55130≌↹⩛12500)=NaN","reverse_text":"NaN=↸⊣(≛(⋗⩴⪓↹⩛42332)≒∊↹⩛55130≌↹⩛12500)","cot":[{"info":"⋗⩴⪓↹⩛42332=↹⩛-34211","layer":3},{"info":"↹⩛55130≌↹⩛12500=NaN","layer":3},{"info":"↹⩛-34211≒∊NaN=NaN","layer":2},{"info":"≛NaN=NaN","layer":1},{"info":"↸⊣NaN=NaN","layer":0}]} +{"id":97,"expression_no_base_symbol":"(($2436$⩦$1236$⫔⩽⩺$2611$∠↢$1723$)⫸⊐$4752$≝⊿$5731$⨫⇇↔$7730$⨿$1026$)⇮⋭(($4073$⋹)∧)⪬($2185$∺≝⩲$4819$)⪃⊛⇣(≤/$7114$)","expression":"((↹⩛15140⩦↹⩛5420⫔⩽⩺↹⩛20031∠↢↹⩛11551)⫸⊐↹⩛34000≝⊿↹⩛42311⨫⇇↔↹⩛55442⨿↹⩛4430)⇮⋭((↹⩛30505⋹)∧)⪬(↹⩛14041∺≝⩲↹⩛34151)⪃⊛⇣(≤/↹⩛52534)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27293,"operation_count":14,"complexity_ratio":1949.5,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2436,"base":6},"right_expr":{"type":"numeric_atoms","value":1236,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2611,"base":6},"right_expr":{"type":"numeric_atoms","value":1723,"base":6}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4752,"base":6},"right_expr":{"type":"numeric_atoms","value":5731,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":7730,"base":6},"right_expr":{"type":"numeric_atoms","value":1026,"base":6}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":4073,"base":6}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2185,"base":6},"right_expr":{"type":"numeric_atoms","value":4819,"base":6}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7114,"base":6}}}}},"used_operators":["vkpjKywKVM","mqXw5SEYmG","i9eR4S00cU","0kmYd0q39Y","KbjG8mgYpV","LXhwmt4mBO","OKKcZfAt5B","abYXlopdE0","Ez1Nq5fNfI","z63VuFQld9","opAxDRczMr","rrgAzCduG9","KPf6cnQVty","eLAdDNolq6"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tw270M8GLb","fu6greOZ01","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","12rbrZMWeM","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2436","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=1236, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4872","layer":3},{"info":"number node, value=2611","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=1723, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-33484","layer":3},{"info":"compute binary expreesion, left_input=4872, right_input=-33484, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=4752","layer":4},{"info":"number node, value=5731","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=5731, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16747","layer":3},{"info":"number node, value=7730","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=7730, right_input=1026, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-16747, right_input=-319, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=4073","layer":4},{"info":"compute unary expreesion, input=4073, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute unary expreesion, input=-20, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=40","layer":2},{"info":"number node, value=2185","layer":4},{"info":"number node, value=4819","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=4819, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=7114","layer":4},{"info":"compute unary expreesion, input=7114, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6630","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-6630, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=40, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15140⩦↹⩛5420⫔⩽⩺↹⩛20031∠↢↹⩛11551)⫸⊐↹⩛34000≝⊿↹⩛42311⨫⇇↔↹⩛55442⨿↹⩛4430)⇮⋭((↹⩛30505⋹)∧)⪬(↹⩛14041∺≝⩲↹⩛34151)⪃⊛⇣(≤/↹⩛52534)=↹⩛151","reverse_text":"↹⩛151=((↹⩛15140⩦↹⩛5420⫔⩽⩺↹⩛20031∠↢↹⩛11551)⫸⊐↹⩛34000≝⊿↹⩛42311⨫⇇↔↹⩛55442⨿↹⩛4430)⇮⋭((↹⩛30505⋹)∧)⪬(↹⩛14041∺≝⩲↹⩛34151)⪃⊛⇣(≤/↹⩛52534)","cot":[{"info":"↹⩛15140⩦↹⩛5420=↹⩛34320","layer":3},{"info":"↹⩛20031∠↢↹⩛11551=↹⩛-415004","layer":3},{"info":"↹⩛34320⫔⩽⩺↹⩛-415004=NaN","layer":2},{"info":"↹⩛34000≝⊿↹⩛42311=↹⩛-205311","layer":3},{"info":"↹⩛55442⨿↹⩛4430=↹⩛-1251","layer":3},{"info":"↹⩛-205311⨫⇇↔↹⩛-1251=↹⩛-2235","layer":2},{"info":"NaN⫸⊐↹⩛-2235=NaN","layer":1},{"info":"↹⩛30505⋹=↹⩛-32","layer":3},{"info":"↹⩛-32∧=↹⩛104","layer":2},{"info":"↹⩛14041∺≝⩲↹⩛34151=↹⩛424","layer":3},{"info":"≤/↹⩛52534=↹⩛-50410","layer":3},{"info":"↹⩛424⪃⊛⇣↹⩛-50410=↹⩛5414","layer":2},{"info":"���⩛104⪬↹⩛5414=↹⩛5414","layer":1},{"info":"NaN⇮⋭↹⩛5414=↹⩛151","layer":0}]} +{"id":98,"expression_no_base_symbol":"⨝⨆($1913$∝$4285$⨒$1799$⨔⇊$1118$⫔⩽⩺($2567$↯⫤)⫸⇳$4433$↞⋁$1310$)","expression":"⨝⨆(↹⩛12505∝↹⩛31501⨒↹⩛12155⨔⇊↹⩛5102⫔⩽⩺(↹⩛15515↯⫤)⫸⇳↹⩛32305↞⋁↹⩛10022)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":45670,"operation_count":8,"complexity_ratio":5708.75,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1913,"base":6},"right_expr":{"type":"numeric_atoms","value":4285,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1799,"base":6},"right_expr":{"type":"numeric_atoms","value":1118,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":2567,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4433,"base":6},"right_expr":{"type":"numeric_atoms","value":1310,"base":6}}}}},"used_operators":["bQ67fsrMVf","i9eR4S00cU","y75s1iXyHd","cTDWOvIxvz","JclMnS0uGI","gx7XJ7hdpj","VwlE7vj6HS","RqrPlJkxDo"],"dependent_operators":["tifHPKVTfV","Tw270M8GLb","fu6greOZ01","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=4285, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1918","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=1118, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1118","layer":3},{"info":"compute binary expreesion, left_input=1918, right_input=1118, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-11136","layer":2},{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=4433","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=4433, right_input=1310, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-11136, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨝⨆(↹⩛12505∝↹⩛31501⨒↹⩛12155⨔⇊↹⩛5102⫔⩽⩺(↹⩛15515↯⫤)⫸⇳↹⩛32305↞⋁↹⩛10022)=NaN","reverse_text":"NaN=⨝⨆(↹⩛12505∝↹⩛31501⨒↹⩛12155⨔⇊↹⩛5102⫔⩽⩺(↹⩛15515↯⫤)⫸⇳↹⩛32305↞⋁↹⩛10022)","cot":[{"info":"↹⩛12505∝↹⩛31501=↹⩛12514","layer":3},{"info":"↹⩛12155⨔⇊↹⩛5102=↹⩛5102","layer":3},{"info":"↹⩛12514⨒↹⩛5102=↹⩛-123320","layer":2},{"info":"↹⩛15515↯⫤=↹⩛0","layer":3},{"info":"↹⩛32305↞⋁↹⩛10022=NaN","layer":3},{"info":"↹⩛0⫸⇳NaN=↹⩛0","layer":2},{"info":"↹⩛-123320⫔⩽⩺↹⩛0=NaN","layer":1},{"info":"⨝⨆NaN=NaN","layer":0}]} +{"id":99,"expression_no_base_symbol":"⇖⫷⫕(⇖⫷⫕($1525$∛$1919$)⊉↱≁($6931$∌$5690$))","expression":"⇖⫷⫕(⇖⫷⫕(↹⩛11021∛↹⩛12515)⊉↱≁(↹⩛52031∌↹⩛42202))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2126,"operation_count":5,"complexity_ratio":425.2,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1525,"base":6},"right_expr":{"type":"numeric_atoms","value":1919,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6931,"base":6},"right_expr":{"type":"numeric_atoms","value":5690,"base":6}}}}},"used_operators":["UHmRx3INFg","w2P8NbNXyL","w2537kitQq","8cLx32lpNA"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=1919, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=6931","layer":4},{"info":"number node, value=5690","layer":4},{"info":"compute binary expreesion, left_input=6931, right_input=5690, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5690","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-5690, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=27388","layer":2},{"info":"compute unary expreesion, input=27388, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"⇖⫷⫕(⇖⫷⫕(↹⩛11021∛↹⩛12515)⊉↱≁(↹⩛52031∌↹⩛42202))=↹⩛21022","reverse_text":"↹⩛21022=⇖⫷⫕(⇖⫷⫕(↹⩛11021∛↹⩛12515)⊉↱≁(↹⩛52031∌↹⩛42202))","cot":[{"info":"↹⩛11021∛↹⩛12515=↹⩛-3034","layer":3},{"info":"↹⩛52031∌↹⩛42202=↹⩛-42202","layer":3},{"info":"↹⩛-3034⊉↱≁↹⩛-42202=↹⩛330444","layer":2},{"info":"⇖⫷⫕↹⩛330444=↹⩛21022","layer":1},{"info":"⇖⫷⫕↹⩛21022=↹⩛21022","layer":0}]} +{"id":100,"expression_no_base_symbol":"↨⩢⫨(≔(($2532$⇯⋐)⊝⪿⪼($3202$/$2553$)))","expression":"↨⩢⫨(≔((↹⩛15420⇯⋐)⊝⪿⪼(↹⩛22454/↹⩛15453)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":133,"operation_count":5,"complexity_ratio":26.6,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2532,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3202,"base":6},"right_expr":{"type":"numeric_atoms","value":2553,"base":6}}}}},"used_operators":["Z5CJsN7DuW","8FLs4eVsLt","3Oe9XWJUTD","LkLIoiE525","XhwjNDsVaA"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2532","layer":4},{"info":"compute unary expreesion, input=2532, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=8474","layer":3},{"info":"number node, value=3202","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=2553, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=8474, right_input=1, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=120004","layer":2},{"info":"compute unary expreesion, input=120004, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-3358818","layer":1},{"info":"compute unary expreesion, input=-3358818, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↨⩢⫨(≔((↹⩛15420⇯⋐)⊝⪿⪼(↹⩛22454/↹⩛15453)))=↹⩛0","reverse_text":"↹⩛0=↨⩢⫨(≔((↹⩛15420⇯⋐)⊝⪿⪼(↹⩛22454/↹⩛15453)))","cot":[{"info":"↹⩛15420⇯⋐=↹⩛103122","layer":3},{"info":"↹⩛22454/↹⩛15453=↹⩛1","layer":3},{"info":"↹⩛103122⊝⪿⪼↹⩛1=↹⩛2323324","layer":2},{"info":"≔↹⩛2323324=↹⩛-155554030","layer":1},{"info":"↨⩢⫨↹⩛-155554030=↹⩛0","layer":0}]} +{"id":101,"expression_no_base_symbol":"⨴⫝(($3176$∲⫓$3718$)⨼⩣(⊙↵-$2246$)∖(⊖$2922$⇴$1190$))","expression":"⨴⫝((↹⩛22412∲⫓↹⩛25114)⨼⩣(⊙↵-↹⩛14222)∖(⊖↹⩛21310⇴↹⩛5302))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4654,"operation_count":7,"complexity_ratio":664.8571428571429,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3176,"base":6},"right_expr":{"type":"numeric_atoms","value":3718,"base":6}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2246,"base":6}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2922,"base":6},"right_expr":{"type":"numeric_atoms","value":1190,"base":6}}}}},"used_operators":["SVb2v531z1","tXD093vOjl","JxwMv5le6e","i8ToyICDmI","oWn0xqSxBt","U6pG0PXrV3","4JB6nKBMSY"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛140341302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3176","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=3176, right_input=3718, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2246","layer":4},{"info":"compute unary expreesion, input=2246, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1190, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=19526","layer":3},{"info":"compute unary expreesion, input=19526, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":6,"result_base":6,"text":"⨴⫝((↹⩛22412∲⫓↹⩛25114)⨼⩣(⊙↵-↹⩛14222)∖(⊖↹⩛21310⇴↹⩛5302))=↹⩛140341302","reverse_text":"↹⩛140341302=⨴⫝((↹⩛22412∲⫓↹⩛25114)⨼⩣(⊙↵-↹⩛14222)∖(⊖↹⩛21310⇴↹⩛5302))","cot":[{"info":"↹⩛22412∲⫓↹⩛25114=↹⩛0","layer":3},{"info":"⊙↵-↹⩛14222=↹⩛-1","layer":3},{"info":"↹⩛0⨼⩣↹⩛-1=NaN","layer":2},{"info":"↹⩛21310⇴↹⩛5302=↹⩛230222","layer":3},{"info":"⊖↹⩛230222=↹⩛0","layer":2},{"info":"NaN∖↹⩛0=↹⩛0","layer":1},{"info":"⨴⫝↹⩛0=↹⩛140341302","layer":0}]} +{"id":102,"expression_no_base_symbol":"((∤↝$1957$)≀⩗∶$2478$⪮%⊝$2559$)⪔⊥($1155$⨘)≁↽≥($1656$⫦⪉$2389$)≨($1518$⨑⩅≇$3425$⪮%⊝($2419$⋳⪒$1914$))⫣⪄⊒(($2967$⨸⪁$2059$)⨪↰⇹($7737$≥⨤⩑$8200$))","expression":"((∤↝↹⩛13021)≀⩗∶↹⩛15250⪮%⊝↹⩛15503)⪔⊥(↹⩛5203⨘)≁↽≥(↹⩛11400⫦⪉↹⩛15021)≨(↹⩛11010⨑⩅≇↹⩛23505⪮%⊝(↹⩛15111⋳⪒↹⩛12510))⫣⪄⊒((↹⩛21423⨸⪁↹⩛13311)⨪↰⇹(↹⩛55453≥⨤⩑↹⩛101544))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14898,"operation_count":15,"complexity_ratio":993.2,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1957,"base":6}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2478,"base":6},"right_expr":{"type":"numeric_atoms","value":2559,"base":6}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1155,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1656,"base":6},"right_expr":{"type":"numeric_atoms","value":2389,"base":6}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1518,"base":6},"right_expr":{"type":"numeric_atoms","value":3425,"base":6}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2419,"base":6},"right_expr":{"type":"numeric_atoms","value":1914,"base":6}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2967,"base":6},"right_expr":{"type":"numeric_atoms","value":2059,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7737,"base":6},"right_expr":{"type":"numeric_atoms","value":8200,"base":6}}}}},"used_operators":["0KMCeP1Jsh","HJ9erzHUuu","8INZBEW696","3UMq87Qwqg","IWmyXbctLI","ncHt1X6cMc","ljcfZBUpm8","wscyQdcy20","RabNbG55vr","h92wMvzauj","12rbrZMWeM","tmPS8pqC7x","g55IO6H4Gj","gJLn6v0xnP"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","oWn0xqSxBt","3Oe9XWJUTD","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"↹⩛-41450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":4},{"info":"compute unary expreesion, input=1957, 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=1957","layer":3},{"info":"number node, value=2478","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=2559, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5272","layer":3},{"info":"compute binary expreesion, left_input=1957, right_input=5272, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":2},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-8860","layer":3},{"info":"number node, value=1656","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=2389, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1588","layer":3},{"info":"compute binary expreesion, left_input=-8860, right_input=1588, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-122968","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=-122968, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=805","layer":1},{"info":"number node, value=1518","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=3425, 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=-4554","layer":3},{"info":"number node, value=2419","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=1914, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2637","layer":3},{"info":"compute binary expreesion, left_input=-4554, right_input=2637, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8792","layer":2},{"info":"number node, value=2967","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=2059, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10052","layer":3},{"info":"number node, value=7737","layer":4},{"info":"number node, value=8200","layer":4},{"info":"compute binary expreesion, left_input=7737, right_input=8200, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=10052, right_input=1234, 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=10052","layer":2},{"info":"compute binary expreesion, left_input=-8792, right_input=10052, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-17268","layer":1},{"info":"compute binary expreesion, left_input=805, right_input=-17268, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-5574","layer":0}],"base":6,"result_base":6,"text":"((∤↝↹⩛13021)≀⩗∶↹⩛15250⪮%⊝↹⩛15503)⪔⊥(↹⩛5203⨘)≁↽≥(↹⩛11400⫦⪉↹⩛15021)≨(↹⩛11010⨑⩅≇↹⩛23505⪮%⊝(↹⩛15111⋳⪒↹⩛12510))⫣⪄⊒((↹⩛21423⨸⪁↹⩛13311)⨪↰⇹(↹⩛55453≥⨤⩑↹⩛101544))=↹⩛-41450","reverse_text":"↹⩛-41450=((∤↝↹⩛13021)≀⩗∶↹⩛15250⪮%⊝↹⩛15503)⪔⊥(↹⩛5203⨘)≁↽≥(↹⩛11400⫦⪉↹⩛15021)≨(↹⩛11010⨑⩅≇↹⩛23505⪮%⊝(↹⩛15111⋳⪒↹⩛12510))⫣⪄⊒((↹⩛21423⨸⪁↹⩛13311)⨪↰⇹(↹⩛55453≥⨤⩑↹⩛101544))","cot":[{"info":"∤↝↹⩛13021=↹⩛13021","layer":3},{"info":"↹⩛15250⪮%⊝↹⩛15503=↹⩛40224","layer":3},{"info":"↹⩛13021≀⩗∶↹⩛40224=↹⩛-10","layer":2},{"info":"↹⩛5203⨘=↹⩛-105004","layer":3},{"info":"↹⩛11400⫦⪉↹⩛15021=↹⩛11204","layer":3},{"info":"↹⩛-105004≁↽≥↹⩛11204=↹⩛-2345144","layer":2},{"info":"↹⩛-10⪔⊥↹⩛-2345144=↹⩛3421","layer":1},{"info":"↹⩛11010⨑⩅≇↹⩛23505=↹⩛-33030","layer":3},{"info":"↹⩛15111⋳⪒↹⩛12510=↹⩛20113","layer":3},{"info":"↹⩛-33030⪮%⊝↹⩛20113=↹⩛-104412","layer":2},{"info":"↹⩛21423⨸⪁↹⩛13311=↹⩛114312","layer":3},{"info":"↹⩛55453≥⨤⩑↹⩛101544=↹⩛5414","layer":3},{"info":"↹⩛114312⨪↰⇹↹⩛5414=↹⩛114312","layer":2},{"info":"↹⩛-104412⫣⪄⊒↹⩛114312=↹⩛-211540","layer":1},{"info":"↹⩛3421≨↹⩛-211540=↹⩛-41450","layer":0}]} +{"id":103,"expression_no_base_symbol":"⊄⩳↩(↑(+⊝⨔(↩⪖$4252$)))","expression":"⊄⩳↩(↑(+⊝⨔(↩⪖↹⩛31404)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":87,"operation_count":4,"complexity_ratio":21.75,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":4252,"base":6}}}}},"used_operators":["8w2t5hMYqp","tR7O2zTn5j","DhbWaqg5eL","fG6uBQFnGz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛-2400","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4252","layer":4},{"info":"compute unary expreesion, input=4252, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-28494","layer":3},{"info":"compute unary expreesion, input=-28494, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-576","layer":0}],"base":6,"result_base":6,"text":"⊄⩳↩(��(+⊝⨔(↩⪖↹⩛31404)))=↹⩛-2400","reverse_text":"↹⩛-2400=⊄⩳↩(↑(+⊝⨔(↩⪖↹⩛31404)))","cot":[{"info":"↩⪖↹⩛31404=↹⩛-335530","layer":3},{"info":"+⊝⨔↹⩛-335530=↹⩛11014","layer":2},{"info":"↑↹⩛11014=↹⩛520","layer":1},{"info":"⊄⩳↩↹⩛520=↹⩛-2400","layer":0}]} +{"id":104,"expression_no_base_symbol":"((($3293$⩨$2528$)⇯⋐)+(⇁⨣⪵$1510$)⨸($3380$⪚$3448$))*(($5511$∖$3213$)⪄$6116$≎⊠⪸$1128$)⫥∨⫟($3872$⊝⪿⪼$3573$⨵⪆$4974$⊮⊟↴$2066$)","expression":"(((↹⩛23125⩨↹⩛15412)⇯⋐)+(⇁⨣⪵↹⩛10554)⨸(↹⩛23352⪚↹⩛23544))*((↹⩛41303∖↹⩛22513)⪄↹⩛44152≎⊠⪸↹⩛5120)⫥∨⫟(↹⩛25532⊝⪿⪼↹⩛24313⨵⪆↹⩛35010⊮⊟↴↹⩛13322)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1116,"operation_count":14,"complexity_ratio":79.71428571428571,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3293,"base":6},"right_expr":{"type":"numeric_atoms","value":2528,"base":6}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1510,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3380,"base":6},"right_expr":{"type":"numeric_atoms","value":3448,"base":6}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5511,"base":6},"right_expr":{"type":"numeric_atoms","value":3213,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6116,"base":6},"right_expr":{"type":"numeric_atoms","value":1128,"base":6}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3872,"base":6},"right_expr":{"type":"numeric_atoms","value":3573,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4974,"base":6},"right_expr":{"type":"numeric_atoms","value":2066,"base":6}}}}},"used_operators":["9HNa5Wba9A","W4YGzv6Whe","LkLIoiE525","2DlMacCsIx","KmoU8R5UQR","inkyxCbjAn","HrjLwUk87U","KYD54nUTWz","SUmda5xLS4","tXD093vOjl","bJkvcejdHO","2DQ55sFlQl","3Oe9XWJUTD","QDVgd2eftb"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","B5M0gjZbta","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3293","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=3293, right_input=2528, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=878","layer":2},{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3380","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=3448, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-492","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-492, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=878, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5511","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=5511, right_input=3213, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6116","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=6116, right_input=1128, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1583571","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1583571, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-6330373","layer":2},{"info":"number node, value=3872","layer":4},{"info":"number node, value=3573","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=3573, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=53034","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=2066, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=53034, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-6330373, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛23125⩨↹⩛15412)⇯⋐)+(⇁⨣⪵↹⩛10554)⨸(↹⩛23352⪚↹⩛23544))*((↹⩛41303∖↹⩛22513)⪄↹⩛44152≎⊠⪸↹⩛5120)⫥∨⫟(↹⩛25532⊝⪿⪼↹⩛24313⨵⪆↹⩛35010⊮⊟↴↹⩛13322)=NaN","reverse_text":"NaN=(((↹⩛23125⩨↹⩛15412)⇯⋐)+(⇁⨣⪵↹⩛10554)⨸(↹⩛23352⪚↹⩛23544))*((↹⩛41303∖↹⩛22513)⪄↹⩛44152≎⊠⪸↹⩛5120)⫥∨⫟(↹⩛25532⊝⪿⪼↹⩛24313⨵⪆↹⩛35010⊮⊟↴↹⩛13322)","cot":[{"info":"↹⩛23125⩨↹⩛15412=↹⩛0","layer":3},{"info":"↹⩛0⇯⋐=↹⩛4022","layer":2},{"info":"⇁⨣⪵↹⩛10554=NaN","layer":3},{"info":"↹⩛23352⪚↹⩛23544=↹⩛-2140","layer":3},{"info":"NaN⨸↹⩛-2140=NaN","layer":2},{"info":"↹⩛4022+NaN=NaN","layer":1},{"info":"↹⩛41303∖↹⩛22513=↹⩛0","layer":3},{"info":"↹⩛44152≎⊠⪸↹⩛5120=↹⩛53535203","layer":3},{"info":"↹⩛0⪄↹⩛53535203=↹⩛-343403141","layer":2},{"info":"↹⩛25532⊝⪿⪼↹⩛24313=↹⩛1045310","layer":3},{"info":"↹⩛35010⊮⊟↴↹⩛13322=↹⩛0","layer":3},{"info":"↹⩛1045310⨵⪆↹⩛0=↹⩛424","layer":2},{"info":"↹⩛-343403141⫥∨⫟↹⩛424=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]} +{"id":105,"expression_no_base_symbol":"∜⨇((($5177$⨌↪)∽(∨∊⋏$1254$))⨫⇇↔(⨆≐≲($3126$⪇≇⋚$2093$)))","expression":"∜⨇(((↹⩛35545⨌↪)∽(∨∊⋏↹⩛5450))⨫⇇↔(⨆≐≲(↹⩛22250⪇≇⋚↹⩛13405)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2831,"operation_count":7,"complexity_ratio":404.42857142857144,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":5177,"base":6}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1254,"base":6}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3126,"base":6},"right_expr":{"type":"numeric_atoms","value":2093,"base":6}}}}},"used_operators":["uFPyJr306J","LXhwmt4mBO","y4ImoPnbV5","cWQsF5MvuD","R5aXW34M0v","Bi9z9uYZqW","3sJ7IOPOlU"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5177","layer":4},{"info":"compute unary expreesion, input=5177, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=16895","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=16895, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-48107","layer":2},{"info":"number node, value=3126","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=2093, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":2},{"info":"compute binary expreesion, left_input=-48107, right_input=-166100, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, 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":6,"result_base":6,"text":"∜⨇(((↹⩛35545⨌↪)∽(∨∊⋏↹⩛5450))⨫⇇↔(⨆≐≲(↹⩛22250⪇≇⋚↹⩛13405)))=↹⩛0","reverse_text":"↹⩛0=∜⨇(((↹⩛35545⨌↪)∽(∨∊⋏↹⩛5450))⨫⇇↔(⨆≐≲(↹⩛22250⪇≇⋚↹⩛13405)))","cot":[{"info":"↹⩛35545⨌↪=↹⩛-2120","layer":3},{"info":"∨∊⋏↹⩛5450=↹⩛210115","layer":3},{"info":"↹⩛-2120∽↹⩛210115=↹⩛-1010415","layer":2},{"info":"↹⩛22250⪇≇⋚↹⩛13405=↹⩛0","layer":3},{"info":"⨆≐≲↹⩛0=↹⩛-3320552","layer":2},{"info":"↹⩛-1010415⨫⇇↔↹⩛-3320552=↹⩛-2235","layer":1},{"info":"∜⨇↹⩛-2235=↹⩛0","layer":0}]} +{"id":106,"expression_no_base_symbol":"(($7315$⩼⇪↪$1182$⨎(⫖→$2224$))⩍⋽⫝̸($1542$⋥⋵⩄$6983$≎⊠⪸(⨣⨃⇪$4600$)))⪒⊣⊆((⪡⇡≛$1071$)∊∟⩊$1873$⇻⋧≁$5211$)⨔⇊(⪨⨬($3298$⊭↱$2885$))","expression":"((↹⩛53511⩼⇪↪↹⩛5250⨎(⫖→↹⩛14144))⩍⋽⫝̸(↹⩛11050⋥⋵⩄↹⩛52155≎⊠⪸(⨣⨃⇪↹⩛33144)))⪒⊣⊆((⪡⇡≛↹⩛4543)∊∟⩊↹⩛12401⇻⋧≁↹⩛40043)⨔⇊(⪨⨬(↹⩛23134⊭↱↹⩛21205))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4610,"operation_count":14,"complexity_ratio":329.2857142857143,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":7315,"base":6},"right_expr":{"type":"numeric_atoms","value":1182,"base":6}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2224,"base":6}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1542,"base":6},"right_expr":{"type":"numeric_atoms","value":6983,"base":6}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4600,"base":6}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1071,"base":6}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1873,"base":6},"right_expr":{"type":"numeric_atoms","value":5211,"base":6}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3298,"base":6},"right_expr":{"type":"numeric_atoms","value":2885,"base":6}}}}},"used_operators":["eRqsBgTDFp","BiWNJpBvwn","rJVOvQCfKK","ocnLzx9CaJ","U4ylXWHChL","bJkvcejdHO","7t3wd0Fuz7","AcOhelriW5","JclMnS0uGI","ddLRYrp01A","qL4PrbW1Dq","jCPkEVoL5K","5obUd6DV38","COABgblf1C"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛1105504","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7315","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=7315, right_input=1182, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=5573","layer":3},{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a���↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=5573, right_input=177, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=177","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=6983","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=6983, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4600","layer":4},{"info":"compute unary expreesion, input=4600, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1405, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=28794","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=28794, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=27848","layer":1},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1071","layer":3},{"info":"number node, value=1873","layer":4},{"info":"number node, value=5211","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=5211, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1071, right_input=-447, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":2},{"info":"number node, value=3298","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=2885, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-821","layer":3},{"info":"compute unary expreesion, input=-821, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-526, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=27848, right_input=67, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=55696","layer":0}],"base":6,"result_base":6,"text":"((↹⩛53511⩼⇪↪↹⩛5250⨎(⫖→↹⩛14144))⩍⋽⫝̸(↹⩛11050⋥⋵⩄↹⩛52155≎⊠⪸(⨣⨃⇪↹⩛33144)))⪒⊣⊆((⪡⇡≛↹⩛4543)∊∟⩊↹⩛12401⇻⋧≁↹⩛40043)⨔⇊(⪨⨬(↹⩛23134⊭↱↹⩛21205))=↹⩛1105504","reverse_text":"↹⩛1105504=((↹⩛53511⩼⇪↪↹⩛5250⨎(⫖→↹⩛14144))⩍⋽⫝̸(↹⩛11050⋥⋵⩄↹⩛52155≎⊠⪸(⨣⨃⇪↹⩛33144)))⪒⊣⊆((⪡⇡≛↹⩛4543)∊∟⩊↹⩛12401⇻⋧≁↹⩛40043)⨔⇊(⪨⨬(↹⩛23134⊭↱↹⩛21205))","cot":[{"info":"↹⩛53511⩼⇪↪↹⩛5250=↹⩛41445","layer":3},{"info":"⫖→↹⩛14144=↹⩛453","layer":3},{"info":"↹⩛41445⨎↹⩛453=↹⩛453","layer":2},{"info":"↹⩛11050⋥⋵⩄↹⩛52155=↹⩛305","layer":3},{"info":"⨣⨃⇪↹⩛33144=↹⩛10301","layer":3},{"info":"↹⩛305≎⊠⪸↹⩛10301=↹⩛341150","layer":2},{"info":"↹⩛453⩍⋽⫝̸↹⩛341150=↹⩛332532","layer":1},{"info":"⪡⇡≛↹⩛4543=↹⩛-4543","layer":3},{"info":"↹⩛12401⇻⋧≁↹⩛40043=↹⩛-2023","layer":3},{"info":"↹⩛-4543∊∟⩊↹⩛-2023=↹⩛0","layer":2},{"info":"↹⩛23134⊭↱↹⩛21205=↹⩛-3445","layer":3},{"info":"⪨⨬↹⩛-3445=↹⩛-2234","layer":2},{"info":"↹⩛0⨔⇊↹⩛-2234=↹⩛151","layer":1},{"info":"↹⩛332532⪒⊣⊆↹⩛151=↹⩛1105504","layer":0}]} +{"id":107,"expression_no_base_symbol":"($4883$⪶≀⋏$5255$⪨⊡($2942$⇩))∓⋝($4354$⨜⨶$3131$⇮⋭($3739$⊧↖))⨀⨒","expression":"(↹⩛34335⪶≀⋏↹⩛40155⪨⊡(↹⩛21342⇩))∓⋝(↹⩛32054⨜⨶↹⩛22255⇮⋭(↹⩛25151⊧↖))⨀⨒","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3936,"operation_count":8,"complexity_ratio":492.0,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4883,"base":6},"right_expr":{"type":"numeric_atoms","value":5255,"base":6}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":2942,"base":6}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4354,"base":6},"right_expr":{"type":"numeric_atoms","value":3131,"base":6}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3739,"base":6}}}}},"used_operators":["j6NVkjMzuk","PoHhknlbAi","kuIXHzHcAH","zR4jO40bMj","vRio1gEz1j","vkpjKywKVM","HiPekx5b7W","EKiFHuOFxO"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"↹⩛-15040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4883","layer":4},{"info":"number node, value=5255","layer":4},{"info":"compute binary expreesion, left_input=4883, right_input=5255, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-25391","layer":3},{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=3035","layer":3},{"info":"compute binary expreesion, left_input=-25391, right_input=3035, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=4354","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=3131, 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=-6006","layer":3},{"info":"number node, value=3739","layer":4},{"info":"compute unary expreesion, input=3739, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=83900288","layer":3},{"info":"compute binary expreesion, left_input=-6006, right_input=83900288, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"compute unary expreesion, input=121, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2400","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34335⪶≀⋏↹⩛40155⪨⊡(↹⩛21342⇩))∓⋝(↹⩛32054⨜⨶↹⩛22255⇮⋭(↹⩛25151⊧↖))⨀⨒=↹⩛-15040","reverse_text":"↹⩛-15040=(↹⩛34335⪶≀⋏↹⩛40155⪨⊡(↹⩛21342⇩))∓⋝(↹⩛32054⨜⨶↹⩛22255⇮⋭(↹⩛25151⊧↖))⨀⨒","cot":[{"info":"↹⩛34335⪶≀⋏↹⩛40155=↹⩛-313315","layer":3},{"info":"↹⩛21342⇩=↹⩛22015","layer":3},{"info":"↹⩛-313315⪨⊡↹⩛22015=↹⩛0","layer":2},{"info":"↹⩛32054⨜⨶↹⩛22255=↹⩛-43450","layer":3},{"info":"↹⩛25151⊧↖=↹⩛12154135132","layer":3},{"info":"↹⩛-43450⇮⋭↹⩛12154135132=↹⩛151","layer":2},{"info":"↹⩛0∓⋝↹⩛151=↹⩛321","layer":1},{"info":"↹⩛321⨀⨒=↹⩛-15040","layer":0}]} +{"id":108,"expression_no_base_symbol":"((⪡⇡≛$3456$)⊔(-$6814$)⋳⪒($6922$≴⪞⇿$2359$⩨($1000$≬⋮$1437$)))⪛($1836$⪥$2103$⨚($1458$⪮%⊝$3886$)⊉≛↸($5825$⫦⪉$1395$)⋳⪒$3982$⩒⫫$1114$)","expression":"((⪡⇡≛↹⩛24000)⊔(-↹⩛51314)⋳⪒(↹⩛52014≴⪞⇿↹⩛14531⩨(↹⩛4344≬⋮↹⩛10353)))⪛(↹⩛12300⪥↹⩛13423⨚(↹⩛10430⪮%⊝↹⩛25554)⊉≛↸(↹⩛42545⫦⪉↹⩛10243)⋳⪒↹⩛30234⩒⫫↹⩛5054)","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6870,"operation_count":15,"complexity_ratio":458.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3456,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6814,"base":6}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6922,"base":6},"right_expr":{"type":"numeric_atoms","value":2359,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":1437,"base":6}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1836,"base":6},"right_expr":{"type":"numeric_atoms","value":2103,"base":6}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1458,"base":6},"right_expr":{"type":"numeric_atoms","value":3886,"base":6}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5825,"base":6},"right_expr":{"type":"numeric_atoms","value":1395,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3982,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}}}}},"used_operators":["uFcxV4UQCh","12rbrZMWeM","E4l6HwMY31","qL4PrbW1Dq","t8gj7n24qd","2DlMacCsIx","lvlrscuwVU","kbkesczE7y","DZ8iAZOCBD","nREPSIbpBE","QbnwKVWMIQ","IWmyXbctLI","wscyQdcy20","KFSx94NKJn"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛100423","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":4},{"info":"compute unary expreesion, input=3456, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3456","layer":3},{"info":"number node, value=6814","layer":4},{"info":"compute unary expreesion, input=6814, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6814","layer":3},{"info":"compute binary expreesion, left_input=-3456, right_input=-6814, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=28107","layer":2},{"info":"number node, value=6922","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=6922, right_input=2359, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=88418636","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1437, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=88418636, right_input=868, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=28107, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=55927","layer":1},{"info":"number node, value=1836","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=2103, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11996","layer":3},{"info":"number node, value=1458","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=3886, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3232","layer":3},{"info":"compute binary expreesion, left_input=11996, right_input=3232, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=11998","layer":2},{"info":"number node, value=5825","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=5825, right_input=1395, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6750","layer":3},{"info":"number node, value=3982","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=3982, right_input=1114, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3680","layer":3},{"info":"compute binary expreesion, left_input=-6750, right_input=3680, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-17467","layer":2},{"info":"compute binary expreesion, left_input=11998, right_input=-17467, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=23996","layer":1},{"info":"compute binary expreesion, left_input=55927, right_input=23996, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=7935","layer":0}],"base":6,"result_base":6,"text":"((⪡⇡≛↹⩛24000)⊔(-↹⩛51314)⋳⪒(↹⩛52014≴⪞⇿↹⩛14531⩨(↹⩛4344≬⋮↹⩛10353)))⪛(↹⩛12300⪥↹⩛13423⨚(↹⩛10430⪮%⊝↹⩛25554)⊉≛↸(↹⩛42545⫦⪉↹⩛10243)⋳⪒↹⩛30234⩒⫫↹⩛5054)=↹⩛100423","reverse_text":"↹⩛100423=((⪡⇡≛↹⩛24000)⊔(-↹⩛51314)⋳⪒(↹⩛52014≴⪞⇿↹⩛14531⩨(↹⩛4344≬⋮↹⩛10353)))⪛(↹⩛12300⪥↹⩛13423⨚(↹⩛10430⪮%⊝↹⩛25554)⊉≛↸(↹⩛42545⫦⪉↹⩛10243)⋳⪒↹⩛30234⩒⫫↹⩛5054)","cot":[{"info":"⪡⇡≛↹⩛24000=↹⩛-24000","layer":3},{"info":"-↹⩛51314=↹⩛-51314","layer":3},{"info":"↹⩛-24000⊔↹⩛-51314=↹⩛334043","layer":2},{"info":"↹⩛52014≴⪞⇿↹⩛14531=↹⩛12435041312","layer":3},{"info":"↹⩛4344≬⋮↹⩛10353=↹⩛4004","layer":3},{"info":"↹⩛12435041312⩨↹⩛4004=↹⩛0","layer":2},{"info":"↹⩛334043⋳⪒↹⩛0=↹⩛1110531","layer":1},{"info":"↹⩛12300⪥↹⩛13423=↹⩛131312","layer":3},{"info":"↹⩛10430⪮%⊝↹⩛25554=↹⩛22544","layer":3},{"info":"↹⩛131312⨚↹⩛22544=↹⩛131314","layer":2},{"info":"↹⩛42545⫦⪉↹⩛10243=↹⩛-51130","layer":3},{"info":"↹⩛30234⩒⫫↹⩛5054=↹⩛25012","layer":3},{"info":"↹⩛-51130⋳⪒↹⩛25012=↹⩛-212511","layer":2},{"info":"↹⩛131314⊉≛↸↹⩛-212511=↹⩛303032","layer":1},{"info":"↹⩛1110531⪛↹⩛303032=↹⩛100423","layer":0}]} +{"id":109,"expression_no_base_symbol":"($4035$∑⇟⊟$1201$)⪥($4335$⋓$2254$)⊔(∓⪦($1012$⨽$1343$))∟","expression":"(↹⩛30403∑⇟⊟↹⩛5321)⪥(↹⩛32023⋓↹⩛14234)⊔(∓⪦(↹⩛4404⨽↹⩛10115))∟","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1938,"operation_count":7,"complexity_ratio":276.85714285714283,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4035,"base":6},"right_expr":{"type":"numeric_atoms","value":1201,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4335,"base":6},"right_expr":{"type":"numeric_atoms","value":2254,"base":6}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1012,"base":6},"right_expr":{"type":"numeric_atoms","value":1343,"base":6}}}}},"used_operators":["hTbEZDJLEm","E4l6HwMY31","QbnwKVWMIQ","U7g4x0WXJJ","T2fj7uvVaJ","D309nIvmXG","8HhzD0ZcuI"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=1201, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4335","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=4335, right_input=2254, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1343, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3075147","layer":3},{"info":"compute unary expreesion, input=-3075147, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))��(∥⊫(343⪨≂a))) }', output=-6151940","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-6151940, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-267","layer":1},{"info":"compute unary expreesion, input=-267, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30403∑⇟⊟↹⩛5321)⪥(↹⩛32023⋓↹⩛14234)⊔(∓⪦(↹⩛4404⨽↹⩛10115))∟=↹⩛305","reverse_text":"↹⩛305=(↹⩛30403∑⇟⊟↹⩛5321)⪥(↹⩛32023⋓↹⩛14234)⊔(∓⪦(↹⩛4404⨽↹⩛10115))∟","cot":[{"info":"↹⩛30403∑⇟⊟↹⩛5321=NaN","layer":3},{"info":"↹⩛32023⋓↹⩛14234=↹⩛0","layer":3},{"info":"NaN⪥↹⩛0=↹⩛-312","layer":2},{"info":"↹⩛4404⨽↹⩛10115=↹⩛-145524443","layer":3},{"info":"∓⪦↹⩛-145524443=↹⩛-335505112","layer":2},{"info":"↹⩛-312⊔↹⩛-335505112=↹⩛-1123","layer":1},{"info":"↹⩛-1123∟=↹⩛305","layer":0}]} +{"id":110,"expression_no_base_symbol":"(≸((⋃$1318$)⨐⩸⫘$5359$⨎$2234$))↱((⇺⋃$7755$)⫏⊷)⊢(($3464$⨪↰⇹$1197$)⊴($2858$⇴$3903$))","expression":"(≸((⋃↹⩛10034)⨐⩸⫘↹⩛40451⨎↹⩛14202))↱((⇺⋃↹⩛55523)⫏⊷)⊢((↹⩛24012⨪↰⇹↹⩛5313)⊴(↹⩛21122⇴↹⩛30023))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28359,"operation_count":11,"complexity_ratio":2578.090909090909,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1318,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5359,"base":6},"right_expr":{"type":"numeric_atoms","value":2234,"base":6}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":7755,"base":6}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3464,"base":6},"right_expr":{"type":"numeric_atoms","value":1197,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2858,"base":6},"right_expr":{"type":"numeric_atoms","value":3903,"base":6}}}}},"used_operators":["SR5kFfdi6N","eOf03JbCpp","fu6greOZ01","3mBM5G4a3l","rJVOvQCfKK","5twsqlHp2o","dcShxvzhyw","E5v5B3UAjG","Nsiff2A1zJ","tmPS8pqC7x","4JB6nKBMSY"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","3ViojmjbAp","g55IO6H4Gj","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2738","layer":3},{"info":"number node, value=5359","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=5359, right_input=2234, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2234","layer":3},{"info":"compute binary expreesion, left_input=2738, right_input=2234, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":1},{"info":"number node, value=7755","layer":4},{"info":"compute unary expreesion, input=7755, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":2},{"info":"number node, value=3464","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=1197, 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=3464","layer":3},{"info":"number node, value=2858","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=2858, right_input=3903, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24568","layer":3},{"info":"compute binary expreesion, left_input=3464, right_input=24568, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":6,"result_base":6,"text":"(≸((⋃↹⩛10034)⨐⩸⫘↹⩛40451⨎↹⩛14202))↱((⇺⋃↹⩛55523)⫏⊷)⊢((↹⩛24012⨪↰⇹↹⩛5313)⊴(↹⩛21122⇴↹⩛30023))=NaN","reverse_text":"NaN=(≸((⋃↹⩛10034)⨐⩸⫘↹⩛40451⨎↹⩛14202))↱((⇺⋃↹⩛55523)⫏⊷)⊢((↹⩛24012⨪↰⇹↹⩛5313)⊴(↹⩛21122⇴↹⩛30023))","cot":[{"info":"⋃↹⩛10034=↹⩛20402","layer":3},{"info":"↹⩛40451⨎↹⩛14202=↹⩛14202","layer":3},{"info":"↹⩛20402⨐⩸⫘↹⩛14202=NaN","layer":2},{"info":"≸NaN=NaN","layer":1},{"info":"⇺⋃↹⩛55523=NaN","layer":3},{"info":"NaN⫏⊷=NaN","layer":2},{"info":"↹⩛24012⨪↰⇹↹⩛5313=↹⩛24012","layer":3},{"info":"↹⩛21122⇴↹⩛30023=↹⩛305424","layer":3},{"info":"↹⩛24012⊴↹⩛305424=NaN","layer":2},{"info":"NaN⊢NaN=NaN","layer":1},{"info":"NaN↱NaN=NaN","layer":0}]} +{"id":111,"expression_no_base_symbol":"(↑((⊿$3635$)∣($1361$↰)))⪃⊛⇣((($4470$≳⇉$2680$)⪘⫢(⊢≑≆$5815$))⩠)","expression":"(↑((⊿↹⩛24455)∣(↹⩛10145↰)))⪃⊛⇣(((↹⩛32410≳⇉↹⩛20224)⪘⫢(⊢≑≆↹⩛42531))⩠)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":104917910,"operation_count":9,"complexity_ratio":11657545.555555556,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3635,"base":6}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1361,"base":6}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4470,"base":6},"right_expr":{"type":"numeric_atoms","value":2680,"base":6}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":5815,"base":6}}}}},"used_operators":["rrgAzCduG9","tR7O2zTn5j","PPChnnnBFF","DO4fhlbJSI","bl5wxAcryP","sJAwomhLZr","oacrs7FA3X","V0kx6qeWkN","27wFxooxGf"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","nCS4ZIUYfx","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3635","layer":4},{"info":"compute unary expreesion, input=3635, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-15278","layer":3},{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1260","layer":3},{"info":"compute binary expreesion, left_input=-15278, right_input=1260, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-15278","layer":2},{"info":"compute unary expreesion, input=-15278, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=4470","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=2680, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=5815","layer":4},{"info":"compute unary expreesion, input=5815, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=23712","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23712, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, 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":6,"result_base":6,"text":"(↑((⊿↹⩛24455)∣(↹⩛10145↰)))⪃⊛⇣(((↹⩛32410≳⇉↹⩛20224)⪘⫢(⊢≑≆↹⩛42531))⩠)=↹⩛5414","reverse_text":"↹⩛5414=(↑((⊿↹⩛24455)∣(↹⩛10145↰)))⪃⊛⇣(((↹⩛32410≳⇉↹⩛20224)⪘⫢(⊢≑≆↹⩛42531))⩠)","cot":[{"info":"⊿↹⩛24455=↹⩛-154422","layer":3},{"info":"↹⩛10145↰=↹⩛5500","layer":3},{"info":"↹⩛-154422∣↹⩛5500=↹⩛-154422","layer":2},{"info":"↑↹⩛-154422=↹⩛520","layer":1},{"info":"↹⩛32410≳⇉↹⩛20224=NaN","layer":3},{"info":"⊢≑≆↹⩛42531=↹⩛301440","layer":3},{"info":"NaN⪘⫢↹⩛301440=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"↹⩛520⪃⊛⇣NaN=↹⩛5414","layer":0}]} +{"id":112,"expression_no_base_symbol":"(($1433$⪚$2775$-$3929$∺≝⩲$4846$)⩘($8020$⫌⩉⩟$5551$)→⨶⪴($1132$⇉⇱⇎))⨼⩣($1597$⇻⋧≁$2985$⨐($6562$↳∿⪆$1686$)⪉⨛(→⩰$1528$)⪶≀⋏($5002$≣⋋))","expression":"((↹⩛10345⪚↹⩛20503-↹⩛30105∺≝⩲↹⩛34234)⩘(↹⩛101044⫌⩉⩟↹⩛41411)→⨶⪴(↹⩛5124⇉⇱⇎))⨼⩣(↹⩛11221⇻⋧≁↹⩛21453⨐(↹⩛50214↳∿⪆↹⩛11450)⪉⨛(→⩰↹⩛11024)⪶≀⋏(↹⩛35054≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44945,"operation_count":15,"complexity_ratio":2996.3333333333335,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1433,"base":6},"right_expr":{"type":"numeric_atoms","value":2775,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3929,"base":6},"right_expr":{"type":"numeric_atoms","value":4846,"base":6}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":8020,"base":6},"right_expr":{"type":"numeric_atoms","value":5551,"base":6}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1132,"base":6}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1597,"base":6},"right_expr":{"type":"numeric_atoms","value":2985,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6562,"base":6},"right_expr":{"type":"numeric_atoms","value":1686,"base":6}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1528,"base":6}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5002,"base":6}}}}},"used_operators":["JxwMv5le6e","cHh1gJQ2o6","rysDP5nf3Z","HrjLwUk87U","KPf6cnQVty","bF6eod5Gvf","XIIwhv8d0m","MRPaB8lBjK","EWw2JM7wp4","Noe24qw2ks","jCPkEVoL5K","Cw4SuJJGHO","zR4jO40bMj","o8Pngz0Tml","Tcnh7f0tEr"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","8w2t5hMYqp","9FxExcQeMw","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1433","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=2775, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3040","layer":3},{"info":"number node, value=3929","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=4846, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3040, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3200","layer":2},{"info":"number node, value=8020","layer":4},{"info":"number node, value=5551","layer":4},{"info":"compute binary expreesion, left_input=8020, right_input=5551, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-914","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-914, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=1696","layer":2},{"info":"compute binary expreesion, left_input=-3200, right_input=1696, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1597","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=2985, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=6562","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=6562, right_input=1686, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=894","layer":2},{"info":"number node, value=1528","layer":4},{"info":"compute unary expreesion, input=1528, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=5002","layer":4},{"info":"compute unary expreesion, input=5002, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=894, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10345⪚↹⩛20503-↹⩛30105∺≝⩲↹⩛34234)⩘(↹⩛101044⫌⩉⩟↹⩛41411)→⨶⪴(↹⩛5124⇉⇱⇎))⨼⩣(↹⩛11221⇻⋧≁↹⩛21453⨐(↹⩛50214↳∿⪆↹⩛11450)⪉⨛(→⩰↹⩛11024)⪶≀⋏(↹⩛35054≣⋋))=NaN","reverse_text":"NaN=((↹⩛10345⪚↹⩛20503-↹⩛30105∺≝⩲↹⩛34234)⩘(↹⩛101044⫌⩉⩟↹⩛41411)→⨶⪴(↹⩛5124⇉⇱⇎))⨼⩣(↹⩛11221⇻⋧≁↹⩛21453⨐(↹⩛50214↳∿⪆↹⩛11450)⪉⨛(→⩰↹⩛11024)⪶≀⋏(↹⩛35054≣⋋))","cot":[{"info":"↹⩛10345⪚↹⩛20503=↹⩛-22024","layer":3},{"info":"↹⩛30105∺≝⩲↹⩛34234=↹⩛424","layer":3},{"info":"↹⩛-22024-↹⩛424=↹⩛-22452","layer":2},{"info":"↹⩛101044⫌⩉⩟↹⩛41411=↹⩛-122","layer":3},{"info":"↹⩛5124⇉⇱⇎=↹⩛-4122","layer":3},{"info":"↹⩛-122→⨶⪴↹⩛-4122=↹⩛11504","layer":2},{"info":"↹⩛-22452⩘↹⩛11504=↹⩛424","layer":1},{"info":"↹⩛11221⇻⋧≁↹⩛21453=↹⩛-2023","layer":3},{"info":"↹⩛50214↳∿⪆↹⩛11450=NaN","layer":3},{"info":"↹⩛-2023⨐NaN=↹⩛4050","layer":2},{"info":"→⩰↹⩛11024=NaN","layer":3},{"info":"↹⩛35054≣⋋=↹⩛0","layer":3},{"info":"NaN⪶≀⋏↹⩛0=NaN","layer":2},{"info":"↹⩛4050⪉⨛NaN=NaN","layer":1},{"info":"↹⩛424⨼⩣NaN=NaN","layer":0}]} +{"id":113,"expression_no_base_symbol":"(($2072$≳⇉$1468$)∊∟⩊($3152$≎⊠⪸$1207$)∑⇟⊟(($8688$⫸⇳$3581$)⪔(⊈$1817$)))⩘(⇁⨣⪵(∓$1639$)≨($3112$⪍↜⋙$1199$))","expression":"((↹⩛13332≳⇉↹⩛10444)∊∟⩊(↹⩛22332≎⊠⪸↹⩛5331)∑⇟⊟((↹⩛104120⫸⇳↹⩛24325)⪔(⊈↹⩛12225)))⩘(⇁⨣⪵(∓↹⩛11331)≨(↹⩛22224⪍↜⋙↹⩛5315))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20046751,"operation_count":12,"complexity_ratio":1670562.5833333333,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2072,"base":6},"right_expr":{"type":"numeric_atoms","value":1468,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3152,"base":6},"right_expr":{"type":"numeric_atoms","value":1207,"base":6}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":8688,"base":6},"right_expr":{"type":"numeric_atoms","value":3581,"base":6}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1817,"base":6}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1639,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3112,"base":6},"right_expr":{"type":"numeric_atoms","value":1199,"base":6}}}}},"used_operators":["cHh1gJQ2o6","U7g4x0WXJJ","ddLRYrp01A","V0kx6qeWkN","bJkvcejdHO","GjBEYRfMaF","gx7XJ7hdpj","RHru8klgy8","inkyxCbjAn","0KMCeP1Jsh","OwUj7dcsQK","L05ObWFQCd"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","12rbrZMWeM","xUOZtlo3hN","B5M0gjZbta","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1468, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3152","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=3152, right_input=1207, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=815895","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=815895, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=815895","layer":2},{"info":"number node, value=8688","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=8688, right_input=3581, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1991","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1991, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=815895, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-29457","layer":3},{"info":"number node, value=3112","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=1199, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3826","layer":3},{"info":"compute binary expreesion, left_input=-29457, right_input=3826, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=59570","layer":2},{"info":"compute unary expreesion, input=59570, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13332≳⇉↹⩛10444)∊∟⩊(↹⩛22332≎⊠⪸↹⩛5331)∑⇟⊟((↹⩛104120⫸⇳↹⩛24325)⪔(⊈↹⩛12225)))⩘(⇁⨣⪵(∓↹⩛11331)≨(↹⩛22224⪍↜⋙↹⩛5315))=↹⩛424","reverse_text":"↹⩛424=((↹⩛13332≳⇉↹⩛10444)∊∟⩊(↹⩛22332≎⊠⪸↹⩛5331)∑⇟⊟((↹⩛104120⫸⇳↹⩛24325)⪔(⊈↹⩛12225)))⩘(⇁⨣⪵(∓↹⩛11331)≨(↹⩛22224⪍↜⋙↹⩛5315))","cot":[{"info":"↹⩛13332≳⇉↹⩛10444=NaN","layer":3},{"info":"↹⩛22332≎⊠⪸↹⩛5331=↹⩛25253143","layer":3},{"info":"NaN∊∟⩊↹⩛25253143=↹⩛25253143","layer":2},{"info":"↹⩛104120⫸⇳↹⩛24325=↹⩛0","layer":3},{"info":"⊈↹⩛12225=↹⩛-13115","layer":3},{"info":"↹⩛0⪔↹⩛-13115=NaN","layer":2},{"info":"↹⩛25253143∑⇟⊟NaN=NaN","layer":1},{"info":"∓↹⩛11331=↹⩛-344213","layer":3},{"info":"↹⩛22224⪍↜⋙↹⩛5315=↹⩛25414","layer":3},{"info":"↹⩛-344213≨↹⩛25414=↹⩛1135442","layer":2},{"info":"⇁⨣⪵↹⩛1135442=NaN","layer":1},{"info":"NaN⩘NaN=↹⩛424","layer":0}]} +{"id":114,"expression_no_base_symbol":"(($4072$⋳⪒$1726$)⪭≯($5427$⫌⩉⩟$1278$))∼(($1465$∠↢$2233$)≎⊠⪸$1709$⊕∕$2857$)⋥≓≎((⊑($5691$≬⋮$2947$))⨉)","expression":"((↹⩛30504⋳⪒↹⩛11554)⪭≯(↹⩛41043⫌⩉⩟↹⩛5530))∼((↹⩛10441∠↢↹⩛14201)≎⊠⪸↹⩛11525⊕∕↹⩛21121)⋥≓≎((⊑(↹⩛42203≬⋮↹⩛21351))⨉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8923,"operation_count":11,"complexity_ratio":811.1818181818181,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4072,"base":6},"right_expr":{"type":"numeric_atoms","value":1726,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5427,"base":6},"right_expr":{"type":"numeric_atoms","value":1278,"base":6}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1465,"base":6},"right_expr":{"type":"numeric_atoms","value":2233,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1709,"base":6},"right_expr":{"type":"numeric_atoms","value":2857,"base":6}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5691,"base":6},"right_expr":{"type":"numeric_atoms","value":2947,"base":6}}}}},"used_operators":["Qy55tPpLXF","DyGG3AbaNP","XAx5wpdLa6","12rbrZMWeM","XIIwhv8d0m","bJkvcejdHO","KbjG8mgYpV","9cloC0Ngie","aMUSaJuDRU","IkUmn0D7oy","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4072","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=4072, right_input=1726, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6131","layer":3},{"info":"number node, value=5427","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=5427, right_input=1278, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=6131, right_input=-50, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1465","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=2233, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-36040","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=2857, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1709","layer":3},{"info":"compute binary expreesion, left_input=-36040, right_input=1709, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=9334360","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9334360, 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=5691","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=5691, right_input=2947, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2712","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2712, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"((↹⩛30504⋳⪒↹⩛11554)⪭≯(↹⩛41043⫌⩉⩟↹⩛5530))∼((↹⩛10441∠↢↹⩛14201)≎⊠⪸↹⩛11525⊕∕↹⩛21121)⋥≓≎((⊑(↹⩛42203≬⋮↹⩛21351))⨉)=↹⩛151","reverse_text":"↹⩛151=((↹⩛30504⋳⪒↹⩛11554)⪭≯(↹⩛41043⫌⩉⩟↹⩛5530))∼((↹⩛10441∠↢↹⩛14201)≎⊠⪸↹⩛11525⊕∕↹⩛21121)⋥≓≎((⊑(↹⩛42203≬⋮↹⩛21351))⨉)","cot":[{"info":"↹⩛30504⋳⪒↹⩛11554=↹⩛44215","layer":3},{"info":"↹⩛41043⫌⩉⩟↹⩛5530=↹⩛-122","layer":3},{"info":"↹⩛44215⪭≯↹⩛-122=NaN","layer":2},{"info":"↹⩛10441∠↢↹⩛14201=↹⩛-434504","layer":3},{"info":"↹⩛11525⊕∕↹⩛21121=↹⩛11525","layer":3},{"info":"↹⩛-434504≎⊠⪸↹⩛11525=↹⩛532022344","layer":2},{"info":"NaN∼↹⩛532022344=NaN","layer":1},{"info":"↹⩛42203≬⋮↹⩛21351=↹⩛4004","layer":3},{"info":"⊑↹⩛4004=↹⩛520","layer":2},{"info":"↹⩛520⨉=↹⩛20320","layer":1},{"info":"NaN⋥≓≎↹⩛20320=↹⩛151","layer":0}]} +{"id":115,"expression_no_base_symbol":"($2286$⊾⪯⋞$3648$)⫗⊷⫓($2986$⇴∐$1643$)⋹⋡⊁((⫓⪴$1094$)∖$4491$⩒⫫$2515$)↓((⇺⋃$4420$)⨥⫆(⩏⊷≩$3772$)⩍⋽⫝̸($4859$∇⊂⋱$1839$⩵∡$8399$→⨶⪴$1894$))","expression":"(↹⩛14330⊾⪯⋞↹⩛24520)⫗⊷⫓(↹⩛21454⇴∐↹⩛11335)⋹⋡⊁((⫓⪴↹⩛5022)∖↹⩛32443⩒⫫↹⩛15351)↓((⇺⋃↹⩛32244)⨥⫆(⩏⊷≩↹⩛25244)⩍⋽⫝̸(↹⩛34255∇⊂⋱↹⩛12303⩵∡↹⩛102515→⨶⪴↹⩛12434))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2513,"operation_count":15,"complexity_ratio":167.53333333333333,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2286,"base":6},"right_expr":{"type":"numeric_atoms","value":3648,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2986,"base":6},"right_expr":{"type":"numeric_atoms","value":1643,"base":6}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1094,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4491,"base":6},"right_expr":{"type":"numeric_atoms","value":2515,"base":6}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":4420,"base":6}},"right_expr":{"type":"unary","operator":"⩏⊷���","unary_expr":{"type":"numeric_atoms","value":3772,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4859,"base":6},"right_expr":{"type":"numeric_atoms","value":1839,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":8399,"base":6},"right_expr":{"type":"numeric_atoms","value":1894,"base":6}}}}},"used_operators":["Af076pWI7l","As8RqfVLgs","zashukvMKz","HK0tfVPux8","HnzytWxmAO","tXD093vOjl","eLxqMNBOBk","KFSx94NKJn","BiWNJpBvwn","yXekIHxTD4","E5v5B3UAjG","uOZ1tnYMDE","Y7wcNGrDQJ","nhYeJWJD5X","bF6eod5Gvf"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9HNa5Wba9A","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Ph9nP6C5qx","xUOZtlo3hN","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","23Mk6UjR3U","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2286","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=3648, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6870","layer":3},{"info":"number node, value=2986","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1643, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6870, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1196836","layer":3},{"info":"number node, value=4491","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=2515, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4189","layer":3},{"info":"compute binary expreesion, left_input=1196836, right_input=4189, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1882","layer":1},{"info":"number node, value=4420","layer":4},{"info":"compute unary expreesion, input=4420, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=3772","layer":4},{"info":"compute unary expreesion, input=3772, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=7243","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7243, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=4859","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=4859, right_input=1839, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9172","layer":3},{"info":"number node, value=8399","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=8399, right_input=1894, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5682","layer":3},{"info":"compute binary expreesion, left_input=9172, right_input=-5682, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b��⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-24147","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24147, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1882, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14330⊾⪯⋞↹⩛24520)⫗⊷⫓(↹⩛21454⇴∐↹⩛11335)⋹⋡⊁((⫓⪴↹⩛5022)∖↹⩛32443⩒⫫↹⩛15351)↓((⇺⋃↹⩛32244)⨥⫆(⩏⊷≩↹⩛25244)⩍⋽⫝̸(↹⩛34255∇⊂⋱↹⩛12303⩵∡↹⩛102515→⨶⪴↹⩛12434))=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛14330⊾⪯⋞↹⩛24520)⫗⊷⫓(↹⩛21454⇴∐↹⩛11335)⋹⋡⊁((⫓⪴↹⩛5022)∖↹⩛32443⩒⫫↹⩛15351)↓((⇺⋃↹⩛32244)⨥⫆(⩏⊷≩↹⩛25244)⩍⋽⫝̸(↹⩛34255∇⊂⋱↹⩛12303⩵∡↹⩛102515→⨶⪴↹⩛12434))","cot":[{"info":"↹⩛14330⊾⪯⋞↹⩛24520=↹⩛51450","layer":3},{"info":"↹⩛21454⇴∐↹⩛11335=NaN","layer":3},{"info":"↹⩛51450⫗⊷⫓NaN=↹⩛-342","layer":2},{"info":"⫓⪴↹⩛5022=↹⩛41352524","layer":3},{"info":"↹⩛32443⩒⫫↹⩛15351=↹⩛31221","layer":3},{"info":"↹⩛41352524∖↹⩛31221=↹⩛0","layer":2},{"info":"↹⩛-342⋹⋡⊁↹⩛0=↹⩛12414","layer":1},{"info":"⇺⋃↹⩛32244=NaN","layer":3},{"info":"⩏⊷≩↹⩛25244=↹⩛53311","layer":3},{"info":"NaN⨥⫆↹⩛53311=NaN","layer":2},{"info":"↹⩛34255∇⊂⋱↹⩛12303=↹⩛110244","layer":3},{"info":"↹⩛102515→⨶⪴↹⩛12434=↹⩛-42150","layer":3},{"info":"↹⩛110244⩵∡↹⩛-42150=↹⩛-303443","layer":2},{"info":"NaN⩍⋽⫝̸↹⩛-303443=NaN","layer":1},{"info":"↹⩛12414↓NaN=↹⩛-342","layer":0}]} +{"id":116,"expression_no_base_symbol":"($4815$⨂≜$1520$⩇∃⫛($3885$∲⫓$4625$)⪡($1094$⋾⨃∁$2098$)⨜⨶(⇜⊴$4096$))≴⪞⇿((∂$8412$)⇌⫙⪟$6571$⩘$3186$⇽⩪)","expression":"(↹⩛34143⨂≜↹⩛11012⩇∃⫛(↹⩛25553∲⫓↹⩛33225)⪡(↹⩛5022⋾⨃∁↹⩛13414)⨜⨶(⇜⊴↹⩛30544))≴⪞⇿((∂↹⩛102540)⇌⫙⪟↹⩛50231⩘↹⩛22430⇽⩪)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7264,"operation_count":12,"complexity_ratio":605.3333333333334,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4815,"base":6},"right_expr":{"type":"numeric_atoms","value":1520,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3885,"base":6},"right_expr":{"type":"numeric_atoms","value":4625,"base":6}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1094,"base":6},"right_expr":{"type":"numeric_atoms","value":2098,"base":6}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4096,"base":6}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8412,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6571,"base":6},"right_expr":{"type":"numeric_atoms","value":3186,"base":6}}}}},"used_operators":["lvlrscuwVU","oraRL2iQuh","1aApVXNlOP","k1SHOSEABc","i8ToyICDmI","HiPekx5b7W","212REbPD9h","XwDhCwWbUn","FonBHBYJbU","AFVx7xoS7T","Uaa54Peajs","cHh1gJQ2o6"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4815","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=4815, right_input=1520, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3885","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=4625, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"number node, value=1094","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2098, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=43990770","layer":3},{"info":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, 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=-952942","layer":3},{"info":"compute binary expreesion, left_input=43990770, right_input=-952942, 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=434190831","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=434190831, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=8412","layer":4},{"info":"compute unary expreesion, input=8412, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=6571","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=6571, right_input=3186, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34143⨂≜↹⩛11012⩇∃⫛(↹⩛25553∲⫓↹⩛33225)⪡(↹⩛5022⋾⨃∁↹⩛13414)⨜⨶(⇜⊴↹⩛30544))≴⪞⇿((∂↹⩛102540)⇌⫙⪟↹⩛50231⩘↹⩛22430⇽⩪)=NaN","reverse_text":"NaN=(↹⩛34143⨂≜↹⩛11012⩇∃⫛(↹⩛25553∲⫓↹⩛33225)⪡(↹⩛5022⋾⨃∁↹⩛13414)⨜⨶(⇜⊴↹⩛30544))≴⪞⇿((∂↹⩛102540)⇌⫙⪟↹⩛50231⩘↹⩛22430⇽⩪)","cot":[{"info":"↹⩛34143⨂≜↹⩛11012=NaN","layer":3},{"info":"↹⩛25553∲⫓↹⩛33225=↹⩛0","layer":3},{"info":"NaN⩇∃⫛↹⩛0=NaN","layer":2},{"info":"↹⩛5022⋾⨃∁↹⩛13414=↹⩛4210512550","layer":3},{"info":"⇜⊴↹⩛30544=↹⩛-32231434","layer":3},{"info":"↹⩛4210512550⨜⨶↹⩛-32231434=↹⩛111030114423","layer":2},{"info":"NaN⪡↹⩛111030114423=NaN","layer":1},{"info":"∂↹⩛102540=NaN","layer":3},{"info":"↹⩛50231⩘↹⩛22430=↹⩛424","layer":3},{"info":"NaN⇌⫙⪟↹⩛424=NaN","layer":2},{"info":"NaN⇽⩪=NaN","layer":1},{"info":"NaN≴⪞⇿NaN=NaN","layer":0}]} +{"id":117,"expression_no_base_symbol":"(∷≠($2652$⇣⩺⋵$2469$)⫞⩸⩒(⩦⩻⨪$1007$))⪕((≦∁$1334$⨚$3771$)∙⊟(≑⋹$4590$)⋹⋡⊁($1356$⊔$4643$))","expression":"(∷≠(↹⩛20140⇣⩺⋵↹⩛15233)⫞⩸⩒(⩦⩻⨪↹⩛4355))⪕((≦∁↹⩛10102⨚↹⩛25243)∙⊟(≑⋹↹⩛33130)⋹⋡⊁(↹⩛10140⊔↹⩛33255))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62934,"operation_count":11,"complexity_ratio":5721.272727272727,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2652,"base":6},"right_expr":{"type":"numeric_atoms","value":2469,"base":6}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1007,"base":6}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1334,"base":6},"right_expr":{"type":"numeric_atoms","value":3771,"base":6}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":4590,"base":6}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1356,"base":6},"right_expr":{"type":"numeric_atoms","value":4643,"base":6}}}}},"used_operators":["umQnsF7QlU","QiR2Oyf5Xj","XGcMNugi78","F4yD0voBRQ","2td37pGCOC","SxTAKzQCrw","9ICcGScMcE","nREPSIbpBE","As8RqfVLgs","6B9nyZLogK","E4l6HwMY31"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","7j4O788W3g","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛-131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2652","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=2469, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1007","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1007, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-260","layer":1},{"info":"number node, value=1334","layer":4},{"info":"number node, value=3771","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3771, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-11482","layer":3},{"info":"compute unary expreesion, input=-11482, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=4590","layer":4},{"info":"compute unary expreesion, input=4590, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=4643","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=4643, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=23527","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=23527, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=24277","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=24277, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21414","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=21414, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":6,"result_base":6,"text":"(∷≠(↹⩛20140⇣⩺⋵↹⩛15233)⫞⩸⩒(⩦⩻⨪↹⩛4355))⪕((≦∁↹⩛10102⨚↹⩛25243)∙⊟(≑⋹↹⩛33130)⋹⋡⊁(↹⩛10140⊔↹⩛33255))=↹⩛-131","reverse_text":"↹⩛-131=(∷≠(↹⩛20140⇣⩺⋵↹⩛15233)⫞⩸⩒(⩦⩻⨪↹⩛4355))⪕((≦∁↹⩛10102⨚↹⩛25243)∙⊟(≑⋹↹⩛33130)⋹⋡⊁(↹⩛10140⊔↹⩛33255))","cot":[{"info":"↹⩛20140⇣⩺⋵↹⩛15233=↹⩛-1112","layer":3},{"info":"⩦⩻⨪↹⩛4355=↹⩛4355","layer":3},{"info":"↹⩛-1112⫞⩸⩒↹⩛4355=↹⩛-1112","layer":2},{"info":"∷≠↹⩛-1112=↹⩛-1112","layer":1},{"info":"↹⩛10102⨚↹⩛25243=↹⩛-125054","layer":3},{"info":"≦∁↹⩛-125054=↹⩛151","layer":2},{"info":"≑⋹↹⩛33130=↹⩛11350","layer":3},{"info":"↹⩛10140⊔↹⩛33255=↹⩛300531","layer":3},{"info":"↹⩛11350⋹⋡⊁↹⩛300531=↹⩛304221","layer":2},{"info":"↹⩛151∙⊟↹⩛304221=↹⩛243050","layer":1},{"info":"↹⩛-1112⪕↹⩛243050=↹⩛-131","layer":0}]} +{"id":118,"expression_no_base_symbol":"≻⋜(($1166$∺≝⩲$3067$⪄($1144$⋫))⫘($1903$⩘$3297$)⪟⇏($1094$⨻⩈⩔$2047$))","expression":"≻⋜((↹⩛5222∺≝⩲↹⩛22111⪄(↹⩛5144⋫))⫘(↹⩛12451⩘↹⩛23133)⪟⇏(↹⩛5022⨻⩈⩔↹⩛13251))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57293478,"operation_count":8,"complexity_ratio":7161684.75,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1166,"base":6},"right_expr":{"type":"numeric_atoms","value":3067,"base":6}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1144,"base":6}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1903,"base":6},"right_expr":{"type":"numeric_atoms","value":3297,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1094,"base":6},"right_expr":{"type":"numeric_atoms","value":2047,"base":6}}}}},"used_operators":["3tj9sqzovi","48vC8HMD2b","SUmda5xLS4","KPf6cnQVty","JL8yIekQnl","GODebY97qR","cHh1gJQ2o6","nEsXyWgiOK"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tmPS8pqC7x","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=3067, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1144","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1144, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-24345","layer":2},{"info":"number node, value=1903","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=3297, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2047, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-174, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-24345, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=28634125","layer":1},{"info":"compute unary expreesion, input=28634125, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≻⋜((↹⩛5222∺≝⩲↹⩛22111⪄(↹⩛5144⋫))⫘(↹⩛12451⩘↹⩛23133)⪟⇏(↹⩛5022⨻⩈⩔↹⩛13251))=NaN","reverse_text":"NaN=≻⋜((↹⩛5222∺≝⩲↹⩛22111⪄(↹⩛5144⋫))⫘(↹⩛12451⩘↹⩛23133)⪟⇏(↹⩛5022⨻⩈⩔↹⩛13251))","cot":[{"info":"↹⩛5222∺≝⩲↹⩛22111=↹⩛424","layer":3},{"info":"↹⩛5144⋫=↹⩛5144","layer":3},{"info":"↹⩛424⪄↹⩛5144=↹⩛-304413","layer":2},{"info":"↹⩛12451⩘↹⩛23133=↹⩛424","layer":3},{"info":"↹⩛5022⨻⩈⩔↹⩛13251=↹⩛-450","layer":3},{"info":"↹⩛424⪟⇏↹⩛-450=↹⩛0","layer":2},{"info":"↹⩛-304413⫘↹⩛0=↹⩛2501421221","layer":1},{"info":"≻⋜↹⩛2501421221=NaN","layer":0}]} +{"id":119,"expression_no_base_symbol":"((⋗⩴⪓($3359$≚⋢))⋛(⇜$1373$∊∟⩊$6268$))⫁⪎((⫯(⊵⊁$3596$))⇋≉)","expression":"((⋗⩴⪓(↹⩛23315≚⋢))⋛(⇜↹⩛10205∊∟⩊↹⩛45004))⫁⪎((⫯(⊵⊁↹⩛24352))⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":587,"operation_count":9,"complexity_ratio":65.22222222222223,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":3359,"base":6}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1373,"base":6},"right_expr":{"type":"numeric_atoms","value":6268,"base":6}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3596,"base":6}}}}},"used_operators":["xRrnTEsQ6j","YbUVn0Rbpy","nOKPl9n5zu","MahUMFw56D","lFBm8KRb8F","ddLRYrp01A","XIabStNQrY","H6BK1Evt7c","AvED76WdY7"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","3ViojmjbAp","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","uBihLCJcMX","k8jYdgA6NY"],"result":"↹⩛53014543","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3359","layer":4},{"info":"compute unary expreesion, input=3359, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=5912","layer":2},{"info":"number node, value=1373","layer":4},{"info":"number node, value=6268","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=6268, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6268","layer":3},{"info":"compute unary expreesion, input=6268, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-50552","layer":2},{"info":"compute binary expreesion, left_input=5912, right_input=-50552, 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=-151011","layer":1},{"info":"number node, value=3596","layer":4},{"info":"compute unary expreesion, input=3596, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=20506","layer":3},{"info":"compute unary expreesion, input=20506, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-846464","layer":2},{"info":"compute unary expreesion, input=-846464, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1693026","layer":1},{"info":"compute binary expreesion, left_input=-151011, right_input=-1693026, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1542015","layer":0}],"base":6,"result_base":6,"text":"((⋗⩴⪓(↹⩛23315≚⋢))⋛(⇜↹⩛10205∊∟⩊↹⩛45004))⫁⪎((⫯(⊵⊁↹⩛24352))⇋≉)=↹⩛53014543","reverse_text":"↹⩛53014543=((⋗⩴⪓(↹⩛23315≚⋢))⋛(⇜↹⩛10205∊∟⩊↹⩛45004))⫁⪎((⫯(⊵⊁↹⩛24352))⇋≉)","cot":[{"info":"↹⩛23315≚⋢=↹⩛-225","layer":3},{"info":"⋗⩴⪓↹⩛-225=↹⩛43212","layer":2},{"info":"↹⩛10205∊∟⩊↹⩛45004=↹⩛45004","layer":3},{"info":"⇜↹⩛45004=↹⩛-1030012","layer":2},{"info":"↹⩛43212⋛↹⩛-1030012=↹⩛-3123043","layer":1},{"info":"⊵⊁↹⩛24352=↹⩛234534","layer":3},{"info":"⫯↹⩛234534=↹⩛-30050452","layer":2},{"info":"↹⩛-30050452⇋≉=↹⩛-100142030","layer":1},{"info":"↹⩛-3123043⫁⪎↹⩛-100142030=↹⩛53014543","layer":0}]} +{"id":120,"expression_no_base_symbol":"(($5099$⪟⇏$1734$⪟⇏($2047$≎⊠⪸$1127$))⪗)%($1420$∳⫺$2911$⋅⇍($2260$⪓⨏))+⪬∐($2013$⫒⫫$2931$)↳≱($3840$⇴$3135$)","expression":"((↹⩛35335⪟⇏↹⩛12010⪟⇏(↹⩛13251≎⊠⪸↹⩛5115))⪗)%(↹⩛10324∳⫺↹⩛21251⋅⇍(↹⩛14244⪓⨏))+⪬∐(↹⩛13153⫒⫫↹⩛21323)↳≱(↹⩛25440⇴↹⩛22303)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2921,"operation_count":12,"complexity_ratio":243.41666666666666,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5099,"base":6},"right_expr":{"type":"numeric_atoms","value":1734,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2047,"base":6},"right_expr":{"type":"numeric_atoms","value":1127,"base":6}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1420,"base":6},"right_expr":{"type":"numeric_atoms","value":2911,"base":6}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":2260,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2013,"base":6},"right_expr":{"type":"numeric_atoms","value":2931,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3840,"base":6},"right_expr":{"type":"numeric_atoms","value":3135,"base":6}}}}},"used_operators":["k8jYdgA6NY","VEQNXA0ZBg","GODebY97qR","bJkvcejdHO","2GS7woTJqF","AdZkA7nFnk","AzXXKTstlj","4X9JU4Jbn6","JwTKLfZU96","6Ko8hGgeMq","4JB6nKBMSY"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","g55IO6H4Gj","D4vGDi5EA2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5099","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=5099, right_input=1734, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2047","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=1127, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=529700","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=529700, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=0","layer":1},{"info":"number node, value=1420","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=2911, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2260","layer":4},{"info":"compute unary expreesion, input=2260, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-313","layer":2},{"info":"number node, value=2013","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=2931, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3840","layer":4},{"info":"number node, value=3135","layer":4},{"info":"compute binary expreesion, left_input=3840, right_input=3135, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=28924","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=28924, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-313, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=939","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=939, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛35335⪟⇏↹⩛12010⪟⇏(↹⩛13251≎⊠⪸↹⩛5115))⪗)%(↹⩛10324∳⫺↹⩛21251⋅⇍(↹⩛14244⪓⨏))+⪬∐(↹⩛13153⫒⫫↹⩛21323)↳≱(↹⩛25440⇴↹⩛22303)=↹⩛0","reverse_text":"↹⩛0=((↹⩛35335⪟⇏↹⩛12010⪟⇏(↹⩛13251≎⊠⪸↹⩛5115))⪗)%(↹⩛10324∳⫺↹⩛21251⋅⇍(↹⩛14244⪓⨏))+⪬∐(↹⩛13153⫒⫫↹⩛21323)↳≱(↹⩛25440⇴↹⩛22303)","cot":[{"info":"↹⩛35335⪟⇏↹⩛12010=↹⩛-1","layer":3},{"info":"↹⩛13251≎⊠⪸↹⩛5115=↹⩛15204152","layer":3},{"info":"↹⩛-1⪟⇏↹⩛15204152=↹⩛0","layer":2},{"info":"↹⩛0⪗=↹⩛0","layer":1},{"info":"↹⩛10324∳⫺↹⩛21251=↹⩛-1112","layer":3},{"info":"↹⩛14244⪓⨏=NaN","layer":3},{"info":"↹⩛-1112⋅⇍NaN=↹⩛-1241","layer":2},{"info":"↹⩛13153⫒⫫↹⩛21323=NaN","layer":3},{"info":"↹⩛25440⇴↹⩛22303=↹⩛341524","layer":3},{"info":"NaN↳≱↹⩛341524=↹⩛0","layer":2},{"info":"↹⩛-1241+⪬∐↹⩛0=↹⩛4203","layer":1},{"info":"↹⩛0%↹⩛4203=↹⩛0","layer":0}]} +{"id":121,"expression_no_base_symbol":"((≑⋹($2743$⩇∃⫛$4618$))≬⋮($2611$∼$3084$)∴($1671$*$2592$))⪢(≔($1763$⩣⫁∢$3361$≨(-$3318$)))","expression":"((≑⋹(↹⩛20411⩇∃⫛↹⩛33214))≬⋮(↹⩛20031∼↹⩛22140)∴(↹⩛11423*↹⩛20000))⪢(≔(↹⩛12055⩣⫁∢↹⩛23321≨(-↹⩛23210)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":228341,"operation_count":11,"complexity_ratio":20758.272727272728,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2743,"base":6},"right_expr":{"type":"numeric_atoms","value":4618,"base":6}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2611,"base":6},"right_expr":{"type":"numeric_atoms","value":3084,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1671,"base":6},"right_expr":{"type":"numeric_atoms","value":2592,"base":6}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1763,"base":6},"right_expr":{"type":"numeric_atoms","value":3361,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3318,"base":6}}}}},"used_operators":["dWAJyo7jo9","kbkesczE7y","6B9nyZLogK","1aApVXNlOP","hrf7POJlIJ","DyGG3AbaNP","9HNa5Wba9A","8FLs4eVsLt","0KMCeP1Jsh","JDUIKTTSIa","t8gj7n24qd"],"dependent_operators":["k8jYdgA6NY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2743","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=4618, 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=2348","layer":3},{"info":"compute unary expreesion, input=2348, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=3084","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=3084, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=2592, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4331232","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4331232, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=1763","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=3361, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3365","layer":3},{"info":"number node, value=3318","layer":4},{"info":"compute unary expreesion, input=3318, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3318","layer":3},{"info":"compute binary expreesion, left_input=-3365, right_input=-3318, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=7386","layer":2},{"info":"compute unary expreesion, input=7386, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-205514","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-205514, 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":6,"result_base":6,"text":"((≑⋹(↹⩛20411⩇∃⫛↹⩛33214))≬⋮(↹⩛20031∼↹⩛22140)∴(↹⩛11423*↹⩛20000))⪢(≔(↹⩛12055⩣⫁∢↹⩛23321≨(-↹⩛23210)))=NaN","reverse_text":"NaN=((≑⋹(↹⩛20411⩇∃⫛↹⩛33214))≬⋮(↹⩛20031∼↹⩛22140)∴(↹⩛11423*↹⩛20000))⪢(≔(↹⩛12055⩣⫁∢↹⩛23321≨(-↹⩛23210)))","cot":[{"info":"↹⩛20411⩇∃⫛↹⩛33214=↹⩛14512","layer":3},{"info":"≑⋹↹⩛14512=↹⩛11350","layer":2},{"info":"↹⩛20031∼↹⩛22140=NaN","layer":3},{"info":"↹⩛11423*↹⩛20000=↹⩛232500000","layer":3},{"info":"NaN∴↹⩛232500000=NaN","layer":2},{"info":"↹⩛11350≬⋮NaN=NaN","layer":1},{"info":"↹⩛12055⩣⫁∢↹⩛23321=↹⩛-23325","layer":3},{"info":"-↹⩛23210=↹⩛-23210","layer":3},{"info":"↹⩛-23325≨↹⩛-23210=↹⩛54110","layer":2},{"info":"≔↹⩛54110=↹⩛-4223242","layer":1},{"info":"NaN⪢↹⩛-4223242=NaN","layer":0}]} +{"id":122,"expression_no_base_symbol":"((∷≠$1415$)⨚$1846$≎⪠$5544$⊢)↹⊜(((-$1008$)∛≔)⪒($1977$⩚⊴⇥$1378$)⪝($3120$∙∹∝$1547$))","expression":"((∷≠↹⩛10315)⨚↹⩛12314≎⪠↹⩛41400⊢)↹⊜(((-↹⩛4400)∛≔)⪒(↹⩛13053⩚⊴⇥↹⩛10214)⪝(↹⩛22240∙∹∝↹⩛11055))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20928,"operation_count":11,"complexity_ratio":1902.5454545454545,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1415,"base":6}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1846,"base":6},"right_expr":{"type":"numeric_atoms","value":5544,"base":6}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1008,"base":6}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1977,"base":6},"right_expr":{"type":"numeric_atoms","value":1378,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3120,"base":6},"right_expr":{"type":"numeric_atoms","value":1547,"base":6}}}}},"used_operators":["9bazX3JMtO","40aOVDgCDB","nREPSIbpBE","QiR2Oyf5Xj","aNhz54LH3e","f6k1SAg4EE","mGnSCrte3L","t8gj7n24qd","wicAB68Tmb","NTOWxs364D","HmxsFra2vL"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","BjRHVeLaeN","12rbrZMWeM","7j4O788W3g","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛-134035320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1415","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=5544","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=5544, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=1415, right_input=19558, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-74468","layer":2},{"info":"compute unary expreesion, input=-74468, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-74468","layer":1},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1008","layer":3},{"info":"compute unary expreesion, input=-1008, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=1977","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=1378, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3476","layer":3},{"info":"number node, value=3120","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=3120, right_input=1547, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3476, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-33593","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=-33593, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=338880","layer":1},{"info":"compute binary expreesion, left_input=-74468, right_input=338880, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2711136","layer":0}],"base":6,"result_base":6,"text":"((∷≠↹⩛10315)⨚↹⩛12314≎⪠↹⩛41400⊢)↹⊜(((-↹⩛4400)∛≔)⪒(↹⩛13053⩚⊴⇥↹⩛10214)⪝(↹⩛22240∙∹∝↹⩛11055))=↹⩛-134035320","reverse_text":"↹⩛-134035320=((∷≠↹⩛10315)⨚↹⩛12314≎⪠↹⩛41400⊢)↹⊜(((-↹⩛4400)∛≔)⪒(↹⩛13053⩚⊴⇥↹⩛10214)⪝(↹⩛22240∙∹∝↹⩛11055))","cot":[{"info":"∷≠↹⩛10315=↹⩛10315","layer":3},{"info":"↹⩛12314≎⪠↹⩛41400=↹⩛230314","layer":3},{"info":"↹⩛10315⨚↹⩛230314=↹⩛-1332432","layer":2},{"info":"↹⩛-1332432⊢=↹⩛-1332432","layer":1},{"info":"-↹⩛4400=↹⩛-4400","layer":3},{"info":"↹⩛-4400∛≔=↹⩛-10313211","layer":2},{"info":"↹⩛13053⩚⊴⇥↹⩛10214=↹⩛-24032","layer":3},{"info":"↹⩛22240∙∹∝↹⩛11055=↹⩛0","layer":3},{"info":"↹⩛-24032⪝↹⩛0=↹⩛-415305","layer":2},{"info":"↹⩛-10313211⪒↹⩛-415305=↹⩛11132520","layer":1},{"info":"↹⩛-1332432↹⊜↹⩛11132520=↹⩛-134035320","layer":0}]} +{"id":123,"expression_no_base_symbol":"($3181$⪘⫢$1025$≧⫂∧(↸⊣$1688$))⪟⇏($4956$≨$1537$⪭≯(⊵⊁$1333$))+($1152$/$5449$)⩌⋺($1112$⫸⊐$2101$)⪔(($5586$⊭↱$5362$)⫢⨠($1577$≓∲$4751$))","expression":"(↹⩛22421⪘⫢↹⩛4425≧⫂∧(↸⊣↹⩛11452))⪟⇏(↹⩛34540≨↹⩛11041⪭≯(⊵⊁↹⩛10101))+(↹⩛5200/↹⩛41121)⩌⋺(↹⩛5052⫸⊐↹⩛13421)⪔((↹⩛41510⊭↱↹⩛40454)⫢⨠(↹⩛11145≓∲↹⩛33555))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8286,"operation_count":15,"complexity_ratio":552.4,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3181,"base":6},"right_expr":{"type":"numeric_atoms","value":1025,"base":6}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1688,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4956,"base":6},"right_expr":{"type":"numeric_atoms","value":1537,"base":6}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1333,"base":6}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1152,"base":6},"right_expr":{"type":"numeric_atoms","value":5449,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1112,"base":6},"right_expr":{"type":"numeric_atoms","value":2101,"base":6}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5586,"base":6},"right_expr":{"type":"numeric_atoms","value":5362,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1577,"base":6},"right_expr":{"type":"numeric_atoms","value":4751,"base":6}}}}},"used_operators":["W4YGzv6Whe","GODebY97qR","Ph9nP6C5qx","oacrs7FA3X","wztAlM01eG","XAx5wpdLa6","0KMCeP1Jsh","AvED76WdY7","GjBEYRfMaF","g7Hmc5v1ko","XhwjNDsVaA","mqXw5SEYmG","xlXykHWxX1","COABgblf1C","s1XTVnmDOJ"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","uBihLCJcMX","k8jYdgA6NY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛2025","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3181","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=1025, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6238","layer":3},{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1401","layer":3},{"info":"compute binary expreesion, left_input=6238, right_input=-1401, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7639","layer":2},{"info":"number node, value=4956","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=4956, right_input=1537, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-47084","layer":3},{"info":"number node, value=1333","layer":4},{"info":"compute unary expreesion, input=1333, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=6928","layer":3},{"info":"compute binary expreesion, left_input=-47084, right_input=6928, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7639, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=1152","layer":4},{"info":"number node, value=5449","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=5449, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1112","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=2101, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8279","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8279, 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=-8400","layer":2},{"info":"number node, value=5586","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=5586, right_input=5362, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-443","layer":3},{"info":"number node, value=1577","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=4751, 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=16553","layer":3},{"info":"compute binary expreesion, left_input=-443, right_input=16553, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-8400, right_input=160, 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=-1, right_input=450, op_id = W4YGzv6Whe binary_op_definition= 'None', output=449","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22421⪘⫢↹⩛4425≧⫂∧(↸⊣↹⩛11452))⪟⇏(↹⩛34540≨↹⩛11041⪭≯(⊵⊁↹⩛10101))+(↹⩛5200/↹⩛41121)⩌⋺(↹⩛5052⫸⊐↹⩛13421)⪔((↹⩛41510⊭↱↹⩛40454)⫢⨠(↹⩛11145≓∲↹⩛33555))=↹⩛2025","reverse_text":"↹⩛2025=(↹⩛22421⪘⫢↹⩛4425≧⫂∧(↸⊣↹⩛11452))⪟⇏(↹⩛34540≨↹⩛11041⪭≯(⊵⊁↹⩛10101))+(↹⩛5200/↹⩛41121)⩌⋺(↹⩛5052⫸⊐↹⩛13421)⪔((↹⩛41510⊭↱↹⩛40454)⫢⨠(↹⩛11145≓∲↹⩛33555))","cot":[{"info":"↹⩛22421⪘⫢↹⩛4425=↹⩛44514","layer":3},{"info":"↸⊣↹⩛11452=↹⩛-10253","layer":3},{"info":"↹⩛44514≧⫂∧↹⩛-10253=↹⩛55211","layer":2},{"info":"↹⩛34540≨↹⩛11041=↹⩛-1001552","layer":3},{"info":"⊵⊁↹⩛10101=↹⩛52024","layer":3},{"info":"↹⩛-1001552⪭≯↹⩛52024=NaN","layer":2},{"info":"↹⩛55211⪟⇏NaN=↹⩛-1","layer":1},{"info":"↹⩛5200/↹⩛41121=↹⩛0","layer":3},{"info":"↹⩛5052⫸⊐↹⩛13421=↹⩛102155","layer":3},{"info":"↹⩛0⩌⋺↹⩛102155=↹⩛-102520","layer":2},{"info":"↹⩛41510⊭↱↹⩛40454=↹⩛-2015","layer":3},{"info":"↹⩛11145≓∲↹⩛33555=↹⩛204345","layer":3},{"info":"↹⩛-2015⫢⨠↹⩛204345=↹⩛424","layer":2},{"info":"↹⩛-102520⪔↹⩛424=↹⩛2030","layer":1},{"info":"↹⩛-1+↹⩛2030=↹⩛2025","layer":0}]} +{"id":124,"expression_no_base_symbol":"((-$7378$)⊉↱≁$6586$≌$1440$⫸⇳($7566$⪝$2886$⊬⫿⊭))⪕(($1643$⫸⊐$4030$)↤⩊($1560$⨑≵⋬$1576$)⋝⋈⪟(($1139$⩹$5501$)⋅⇍$4539$≹⇙⪍$1761$))","expression":"((-↹⩛54054)⊉↱≁↹⩛50254≌↹⩛10400⫸⇳(↹⩛55010⪝↹⩛21210⊬⫿⊭))⪕((↹⩛11335⫸⊐↹⩛30354)↤⩊(↹⩛11120⨑≵⋬↹⩛11144)⋝⋈⪟((↹⩛5135⩹↹⩛41245)⋅⇍↹⩛33003≹⇙⪍↹⩛12053))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2288,"operation_count":14,"complexity_ratio":163.42857142857142,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":7378,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":6586,"base":6},"right_expr":{"type":"numeric_atoms","value":1440,"base":6}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7566,"base":6},"right_expr":{"type":"numeric_atoms","value":2886,"base":6}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1643,"base":6},"right_expr":{"type":"numeric_atoms","value":4030,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1560,"base":6},"right_expr":{"type":"numeric_atoms","value":1576,"base":6}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1139,"base":6},"right_expr":{"type":"numeric_atoms","value":5501,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4539,"base":6},"right_expr":{"type":"numeric_atoms","value":1761,"base":6}}}}},"used_operators":["umQnsF7QlU","gx7XJ7hdpj","w2P8NbNXyL","t8gj7n24qd","lyWz822IDG","v0DYgG9ikt","wicAB68Tmb","2DDjHMKMc0","13rbtpv6ld","mqXw5SEYmG","XnXgA4xnOs","AdZkA7nFnk","2Wsdkap16l","AHs5Up7iyr"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","dWAJyo7jo9"],"result":"↹⩛4155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7378","layer":4},{"info":"compute unary expreesion, input=7378, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7378","layer":3},{"info":"number node, value=6586","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=6586, right_input=1440, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7378, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=7566","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=7566, right_input=2886, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-19119","layer":3},{"info":"compute unary expreesion, input=-19119, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=19331","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19331, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"number node, value=1643","layer":4},{"info":"number node, value=4030","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=4030, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15995","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=1576, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1853","layer":3},{"info":"compute binary expreesion, left_input=15995, right_input=-1853, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=5501","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=5501, 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=5499","layer":3},{"info":"number node, value=4539","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=4539, right_input=1761, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5499, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-6072","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6072, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":6,"result_base":6,"text":"((-↹⩛54054)⊉↱≁↹⩛50254≌↹⩛10400⫸⇳(↹⩛55010⪝↹⩛21210⊬⫿⊭))⪕((↹⩛11335⫸⊐↹⩛30354)↤⩊(↹⩛11120⨑≵⋬↹⩛11144)⋝⋈⪟((↹⩛5135⩹↹⩛41245)⋅⇍↹⩛33003≹⇙⪍↹⩛12053))=↹⩛4155","reverse_text":"↹⩛4155=((-↹⩛54054)⊉↱≁↹⩛50254≌↹⩛10400⫸⇳(↹⩛55010⪝↹⩛21210⊬⫿⊭))⪕((↹⩛11335⫸⊐↹⩛30354)↤⩊(↹⩛11120⨑≵⋬↹⩛11144)⋝⋈⪟((↹⩛5135⩹↹⩛41245)⋅⇍↹⩛33003≹⇙⪍↹⩛12053))","cot":[{"info":"-↹⩛54054=↹⩛-54054","layer":3},{"info":"↹⩛50254≌↹⩛10400=NaN","layer":3},{"info":"↹⩛-54054⊉↱≁NaN=NaN","layer":2},{"info":"↹⩛55010⪝↹⩛21210=↹⩛-224303","layer":3},{"info":"↹⩛-224303⊬⫿⊭=↹⩛225255","layer":2},{"info":"NaN⫸⇳↹⩛225255=NaN","layer":1},{"info":"↹⩛11335⫸⊐↹⩛30354=↹⩛202015","layer":3},{"info":"↹⩛11120⨑≵⋬↹⩛11144=↹⩛-12325","layer":3},{"info":"↹⩛202015↤⩊↹⩛-12325=NaN","layer":2},{"info":"↹⩛5135⩹↹⩛41245=↹⩛41243","layer":3},{"info":"↹⩛33003≹⇙⪍↹⩛12053=NaN","layer":3},{"info":"↹⩛41243⋅⇍NaN=↹⩛-44040","layer":2},{"info":"NaN⋝⋈⪟↹⩛-44040=NaN","layer":1},{"info":"NaN⪕NaN=↹⩛4155","layer":0}]} +{"id":125,"expression_no_base_symbol":"(($1573$⫌⩉⩟$2328$)⨪↰⇹$3482$⨐$1602$)⊋($1072$∥⊢⊲$4038$∑⇟⊟$2680$⨸$4380$)⇌⫙⪟(+⊝⨔(($3900$⨉)⩹$2598$⊉≛↸$4241$))","expression":"((↹⩛11141⫌⩉⩟↹⩛14440)⨪↰⇹↹���24042⨐↹⩛11230)⊋(↹⩛4544∥⊢⊲↹⩛30410∑⇟⊟↹⩛20224⨸↹⩛32140)⇌⫙⪟(+⊝⨔((↹⩛30020⨉)⩹↹⩛20010⊉≛↸↹⩛31345))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23828,"operation_count":12,"complexity_ratio":1985.6666666666667,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1573,"base":6},"right_expr":{"type":"numeric_atoms","value":2328,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3482,"base":6},"right_expr":{"type":"numeric_atoms","value":1602,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1072,"base":6},"right_expr":{"type":"numeric_atoms","value":4038,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2680,"base":6},"right_expr":{"type":"numeric_atoms","value":4380,"base":6}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":3900,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2598,"base":6},"right_expr":{"type":"numeric_atoms","value":4241,"base":6}}}}},"used_operators":["AFVx7xoS7T","W4tP9CfskL","tmPS8pqC7x","XIIwhv8d0m","Noe24qw2ks","U7g4x0WXJJ","v1UQAVDJRr","KmoU8R5UQR","DhbWaqg5eL","2Wsdkap16l","aMUSaJuDRU","DZ8iAZOCBD"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rJVOvQCfKK","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1573","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=2328, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3482","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=1602, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6964","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-6964, 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=-50","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=4038, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=4380","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=4380, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5360","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5360, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"number node, value=3900","layer":4},{"info":"compute unary expreesion, input=3900, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=10128","layer":3},{"info":"number node, value=2598","layer":4},{"info":"number node, value=4241","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=4241, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5196","layer":3},{"info":"compute binary expreesion, left_input=10128, right_input=5196, 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=5194","layer":2},{"info":"compute unary expreesion, input=5194, 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=nan, right_input=1522, 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":6,"result_base":6,"text":"((↹⩛11141⫌⩉⩟↹⩛14440)⨪↰⇹↹⩛24042⨐↹⩛11230)⊋(↹⩛4544∥⊢⊲↹⩛30410∑⇟⊟↹⩛20224⨸↹⩛32140)⇌⫙⪟(+⊝⨔((↹⩛30020⨉)⩹↹⩛20010⊉≛↸↹⩛31345))=NaN","reverse_text":"NaN=((↹⩛11141⫌⩉⩟↹⩛14440)⨪↰⇹↹⩛24042⨐↹⩛11230)⊋(↹⩛4544∥⊢⊲↹⩛30410∑⇟⊟↹⩛20224⨸↹⩛32140)⇌⫙⪟(+⊝⨔((↹⩛30020⨉)⩹↹⩛20010⊉≛↸↹⩛31345))","cot":[{"info":"↹⩛11141⫌⩉⩟↹⩛14440=↹⩛-122","layer":3},{"info":"↹⩛24042⨐↹⩛11230=↹⩛-52124","layer":3},{"info":"↹⩛-122⨪↰⇹↹⩛-52124=↹⩛-122","layer":2},{"info":"↹⩛4544∥⊢⊲↹⩛30410=NaN","layer":3},{"info":"↹⩛20224⨸↹⩛32140=↹⩛40452","layer":3},{"info":"NaN∑⇟⊟↹⩛40452=NaN","layer":2},{"info":"↹⩛-122⊋NaN=NaN","layer":1},{"info":"↹⩛30020⨉=↹⩛114520","layer":3},{"info":"↹⩛20010⊉≛↸↹⩛31345=↹⩛40020","layer":3},{"info":"↹⩛114520⩹↹⩛40020=↹⩛40014","layer":2},{"info":"+⊝⨔↹⩛40014=↹⩛11014","layer":1},{"info":"NaN⇌⫙⪟↹⩛11014=NaN","layer":0}]} +{"id":126,"expression_no_base_symbol":"(↯⪼$6001$)⪬($3349$⊴$1659$)⫒⫫($1699$∺≝⩲$1208$⩏)⋖∅⋲","expression":"(↯⪼↹⩛43441)⪬(↹⩛23301⊴↹⩛11403)⫒⫫(↹⩛11511∺≝⩲↹⩛5332⩏)⋖∅⋲","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6301,"operation_count":7,"complexity_ratio":900.1428571428571,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6001,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3349,"base":6},"right_expr":{"type":"numeric_atoms","value":1659,"base":6}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1699,"base":6},"right_expr":{"type":"numeric_atoms","value":1208,"base":6}}}}},"used_operators":["L95AwlJzhO","6Ko8hGgeMq","Ez1Nq5fNfI","8jW3W4yZS5","Nsiff2A1zJ","iA2gmKZ3Wj","KPf6cnQVty"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","z6LnFrNh4i","Tcnh7f0tEr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6001","layer":4},{"info":"compute unary expreesion, input=6001, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=3349","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=1659, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1699","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=1208, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=0, 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 = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↯⪼↹⩛43441)⪬(↹⩛23301⊴↹⩛11403)⫒⫫(↹⩛11511∺≝⩲↹⩛5332⩏)⋖∅⋲=NaN","reverse_text":"NaN=(↯⪼↹⩛43441)⪬(↹⩛23301⊴↹⩛11403)⫒⫫(↹⩛11511∺≝⩲↹⩛5332⩏)⋖∅⋲","cot":[{"info":"↯⪼↹⩛43441=↹⩛-33","layer":3},{"info":"↹⩛23301⊴↹⩛11403=NaN","layer":3},{"info":"↹⩛-33⪬NaN=↹⩛5414","layer":2},{"info":"↹⩛11511∺≝⩲↹⩛5332=↹⩛424","layer":3},{"info":"↹⩛424⩏=↹⩛0","layer":2},{"info":"↹⩛5414⫒⫫↹⩛0=NaN","layer":1},{"info":"NaN⋖∅⋲=NaN","layer":0}]} +{"id":127,"expression_no_base_symbol":"(($1191$⨪↰⇹$1362$)⊱⇼⊻($1551$⊿∆)↸($1527$%$2498$)≒∊(↽≂$8739$))⊔((⇙⪊$7832$)≦↸($1347$⋓$6048$))≦↸($4423$⋣⋖$1234$⩒⫫$2798$⪟⇏$6264$)","expression":"((↹⩛5303⨪↰⇹↹⩛10150)⊱⇼⊻(↹⩛11103⊿∆)↸(↹⩛11023%↹⩛15322)≒∊(↽≂↹⩛104243))⊔((⇙⪊↹⩛100132)≦↸(↹⩛10123⋓↹⩛44000))≦↸(↹⩛32251⋣⋖↹⩛5414⩒⫫↹⩛20542⪟⇏↹⩛45000)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2401,"operation_count":15,"complexity_ratio":160.06666666666666,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1191,"base":6},"right_expr":{"type":"numeric_atoms","value":1362,"base":6}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1551,"base":6}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1527,"base":6},"right_expr":{"type":"numeric_atoms","value":2498,"base":6}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8739,"base":6}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":7832,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1347,"base":6},"right_expr":{"type":"numeric_atoms","value":6048,"base":6}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4423,"base":6},"right_expr":{"type":"numeric_atoms","value":1234,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2798,"base":6},"right_expr":{"type":"numeric_atoms","value":6264,"base":6}}}}},"used_operators":["E4l6HwMY31","1eCjFl0mb9","FyVja0WsTP","tmPS8pqC7x","fv3ZujxkQL","5KTvxBwnZo","k8jYdgA6NY","u6S6b8DprG","RygbFNSyEJ","pB6Fcnrjim","T2fj7uvVaJ","KFSx94NKJn","J0M6qkBnIM","GODebY97qR"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rJVOvQCfKK","NTOWxs364D","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"↹⩛153521","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1191","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1362, 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=1191","layer":3},{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3223","layer":3},{"info":"compute binary expreesion, left_input=1191, right_input=-3223, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7566","layer":2},{"info":"number node, value=1527","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=2498, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1527","layer":3},{"info":"number node, value=8739","layer":4},{"info":"compute unary expreesion, input=8739, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-17478","layer":3},{"info":"compute binary expreesion, left_input=1527, right_input=-17478, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1043","layer":2},{"info":"compute binary expreesion, left_input=7566, right_input=-1043, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=7566","layer":1},{"info":"number node, value=7832","layer":4},{"info":"compute unary expreesion, input=7832, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=6048","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=6048, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=681","layer":2},{"info":"number node, value=4423","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=1234, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4423","layer":3},{"info":"number node, value=2798","layer":4},{"info":"number node, value=6264","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=6264, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4423, right_input=-1, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4121","layer":2},{"info":"compute binary expreesion, left_input=681, right_input=4121, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8923","layer":1},{"info":"compute binary expreesion, left_input=7566, right_input=-8923, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15097","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5303⨪↰⇹↹⩛10150)⊱⇼⊻(↹⩛11103⊿∆)↸(↹⩛11023%↹⩛15322)≒∊(↽≂↹⩛104243))⊔((⇙⪊↹⩛100132)≦↸(↹⩛10123⋓↹⩛44000))≦↸(↹⩛32251⋣⋖↹⩛5414⩒⫫↹⩛20542⪟⇏↹⩛45000)=↹⩛153521","reverse_text":"↹⩛153521=((↹⩛5303⨪↰⇹↹⩛10150)⊱⇼⊻(↹⩛11103⊿∆)↸(↹⩛11023%↹⩛15322)≒∊(↽≂↹⩛104243))⊔((⇙⪊↹⩛100132)≦↸(↹⩛10123⋓↹⩛44000))≦↸(↹⩛32251⋣⋖↹⩛5414⩒⫫↹⩛20542⪟⇏↹⩛45000)","cot":[{"info":"↹⩛5303⨪↰⇹↹⩛10150=↹⩛5303","layer":3},{"info":"↹⩛11103⊿∆=↹⩛-22531","layer":3},{"info":"↹⩛5303⊱⇼⊻↹⩛-22531=↹⩛55010","layer":2},{"info":"↹⩛11023%↹⩛15322=↹⩛11023","layer":3},{"info":"↽≂↹⩛104243=↹⩛-212530","layer":3},{"info":"↹⩛11023≒∊↹⩛-212530=↹⩛-4455","layer":2},{"info":"↹⩛55010↸↹⩛-4455=↹⩛55010","layer":1},{"info":"⇙⪊↹⩛100132=↹⩛0","layer":3},{"info":"↹⩛10123⋓↹⩛44000=↹⩛0","layer":3},{"info":"↹⩛0≦↸↹⩛0=↹⩛3053","layer":2},{"info":"↹⩛32251⋣⋖↹⩛5414=↹⩛32251","layer":3},{"info":"↹⩛20542⪟⇏↹⩛45000=↹⩛-1","layer":3},{"info":"↹⩛32251⩒⫫↹⩛-1=↹⩛31025","layer":2},{"info":"↹⩛3053≦↸↹⩛31025=↹⩛-105151","layer":1},{"info":"↹⩛55010⊔↹⩛-105151=↹⩛153521","layer":0}]} +{"id":128,"expression_no_base_symbol":"(⨝⨆(≱⇩⩕$9414$))⊝⪿⪼($1535$⫑)≹⇙⪍($5854$⊨$3039$)⫦⪉($1369$∠↢$1359$)⪮%⊝$5021$⊕∕$6769$∑⇟⊟($5166$⊨$2216$+⇶⊼($7321$⊢))","expression":"(⨝⨆(≱⇩⩕↹⩛111330))⊝⪿⪼(↹⩛11035⫑)≹⇙⪍(↹⩛43034⊨↹⩛22023)⫦⪉(↹⩛10201∠↢↹⩛10143)⪮%⊝↹⩛35125⊕∕↹⩛51201∑⇟⊟(↹⩛35530⊨↹⩛14132+⇶⊼(↹⩛53521⊢))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":266,"operation_count":14,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":9414,"base":6}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1535,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5854,"base":6},"right_expr":{"type":"numeric_atoms","value":3039,"base":6}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1369,"base":6},"right_expr":{"type":"numeric_atoms","value":1359,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5021,"base":6},"right_expr":{"type":"numeric_atoms","value":6769,"base":6}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5166,"base":6},"right_expr":{"type":"numeric_atoms","value":2216,"base":6}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":7321,"base":6}}}}},"used_operators":["wscyQdcy20","3Oe9XWJUTD","bQ67fsrMVf","3DZMoQKiUl","AHs5Up7iyr","CgIo77xlM2","vg4gO5BX6G","U7g4x0WXJJ","IWmyXbctLI","KbjG8mgYpV","9cloC0Ngie","TpPTUOHfaN","40aOVDgCDB"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tifHPKVTfV","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","dWAJyo7jo9","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","AHs5Up7iyr","NTOWxs364D"],"result":"↹⩛-131540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9414","layer":4},{"info":"compute unary expreesion, input=9414, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-96","layer":2},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=5854","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=5854, right_input=3039, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24447","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=24447, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-96, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=8492","layer":1},{"info":"number node, value=1369","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1359, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-23420","layer":3},{"info":"number node, value=5021","layer":4},{"info":"number node, value=6769","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=6769, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5021","layer":3},{"info":"compute binary expreesion, left_input=-23420, right_input=5021, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-46524","layer":2},{"info":"number node, value=5166","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=5166, right_input=2216, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=21695","layer":3},{"info":"number node, value=7321","layer":4},{"info":"compute unary expreesion, input=7321, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-7568","layer":3},{"info":"compute binary expreesion, left_input=21695, right_input=-7568, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-46524, right_input=nan, 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=8492, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-12084","layer":0}],"base":6,"result_base":6,"text":"(⨝⨆(≱⇩⩕↹⩛111330))⊝⪿⪼(↹⩛11035⫑)≹⇙⪍(↹⩛43034⊨↹⩛22023)⫦⪉(↹⩛10201∠↢↹⩛10143)⪮%⊝↹⩛35125⊕∕↹⩛51201∑⇟⊟(↹⩛35530⊨↹⩛14132+⇶⊼(↹⩛53521⊢))=↹⩛-131540","reverse_text":"↹⩛-131540=(⨝⨆(≱⇩⩕↹⩛111330))⊝⪿⪼(↹⩛11035⫑)≹⇙⪍(↹⩛43034⊨↹⩛22023)⫦⪉(↹⩛10201∠↢↹⩛10143)⪮%⊝↹⩛35125⊕∕↹⩛51201∑⇟⊟(↹⩛35530⊨↹⩛14132+⇶⊼(↹⩛53521⊢))","cot":[{"info":"≱⇩⩕↹⩛111330=↹⩛305","layer":3},{"info":"⨝⨆↹⩛305=↹⩛-240","layer":2},{"info":"↹⩛11035⫑=↹⩛30231","layer":3},{"info":"↹⩛43034⊨↹⩛22023=↹⩛305103","layer":3},{"info":"↹⩛30231≹⇙⪍↹⩛305103=NaN","layer":2},{"info":"↹⩛-240⊝⪿⪼NaN=↹⩛103152","layer":1},{"info":"↹⩛10201∠↢↹⩛10143=↹⩛-300232","layer":3},{"info":"↹⩛35125⊕∕↹⩛51201=↹⩛35125","layer":3},{"info":"↹⩛-300232⪮%⊝↹⩛35125=↹⩛-555220","layer":2},{"info":"↹⩛35530⊨↹⩛14132=↹⩛244235","layer":3},{"info":"↹⩛53521⊢=↹⩛-55012","layer":3},{"info":"↹⩛244235+⇶⊼↹⩛-55012=NaN","layer":2},{"info":"↹⩛-555220∑⇟⊟NaN=NaN","layer":1},{"info":"↹⩛103152⫦⪉NaN=↹⩛-131540","layer":0}]} +{"id":129,"expression_no_base_symbol":"(((↪⫪⫘$5199$)⊟⇱)⋖∅⋲)⩘","expression":"(((↪⫪⫘↹⩛40023)⊟⇱)⋖∅⋲)⩘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":457,"operation_count":4,"complexity_ratio":114.25,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5199,"base":6}}}}},"used_operators":["wvHyciQT5X","L95AwlJzhO","03sUfWo75k","9dWsAM3GFt"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","IWmyXbctLI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5199","layer":4},{"info":"compute unary expreesion, input=5199, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=356","layer":2},{"info":"compute unary expreesion, input=356, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"compute unary expreesion, input=-384231, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(((↪⫪⫘↹⩛40023)⊟⇱)⋖∅⋲)⩘=↹⩛151","reverse_text":"↹⩛151=(((↪⫪⫘↹⩛40023)⊟⇱)⋖∅⋲)⩘","cot":[{"info":"↪⫪⫘↹⩛40023=↹⩛32","layer":3},{"info":"↹⩛32⊟⇱=↹⩛1352","layer":2},{"info":"↹⩛1352⋖∅⋲=↹⩛-12122503","layer":1},{"info":"↹⩛-12122503⩘=↹⩛151","layer":0}]} +{"id":130,"expression_no_base_symbol":"⊽((⊊≼∋(↩⪖$2123$))%(⪡⇡≛(⇖⫷⫕$2229$)))","expression":"⊽((⊊≼∋(↩⪖↹⩛13455))%(⪡⇡≛(⇖⫷⫕↹⩛14153)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":811,"operation_count":6,"complexity_ratio":135.16666666666666,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2123,"base":6}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2229,"base":6}}}}},"used_operators":["QxG7OkqoLX","k8jYdgA6NY","FWz7pXsQhA","fG6uBQFnGz","qL4PrbW1Dq","UHmRx3INFg"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2123","layer":4},{"info":"compute unary expreesion, input=2123, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-15720","layer":3},{"info":"compute unary expreesion, input=-15720, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=2229","layer":4},{"info":"compute unary expreesion, input=2229, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2822, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊽((⊊≼∋(↩⪖↹⩛13455))%(⪡⇡≛(⇖⫷⫕↹⩛14153)))=NaN","reverse_text":"NaN=⊽((⊊≼∋(↩⪖↹⩛13455))%(⪡⇡≛(⇖⫷⫕↹⩛14153)))","cot":[{"info":"↩⪖↹⩛13455=↹⩛-200440","layer":3},{"info":"⊊≼∋↹⩛-200440=NaN","layer":2},{"info":"⇖⫷⫕↹⩛14153=↹⩛21022","layer":3},{"info":"⪡⇡≛↹⩛21022=↹⩛-21022","layer":2},{"info":"NaN%↹⩛-21022=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]} +{"id":131,"expression_no_base_symbol":"(($7048$≃⋄)⇐≅)⨑⩅≇((⫛⫱⨽$3052$)↼⊘⨖$3816$⫘$1244$)∌(($2694$⋾⨃∁$2180$)⪭$2005$∥⊢⊲$1362$⪨≂(⋗⩬⋾($1359$⨒$7347$)))","expression":"((↹⩛52344≃⋄)⇐≅)⨑⩅≇((⫛⫱⨽↹⩛22044)↼⊘⨖↹⩛25400⫘↹⩛5432)∌((↹⩛20250⋾⨃∁↹⩛14032)⪭↹⩛13141∥⊢⊲↹⩛10150⪨≂(⋗⩬⋾(↹⩛10143⨒↹⩛54003)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8991620,"operation_count":13,"complexity_ratio":691663.0769230769,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":7048,"base":6}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3052,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3816,"base":6},"right_expr":{"type":"numeric_atoms","value":1244,"base":6}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2694,"base":6},"right_expr":{"type":"numeric_atoms","value":2180,"base":6}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2005,"base":6},"right_expr":{"type":"numeric_atoms","value":1362,"base":6}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1359,"base":6},"right_expr":{"type":"numeric_atoms","value":7347,"base":6}}}}},"used_operators":["8cLx32lpNA","h92wMvzauj","wEfv7U73WA","aN9a90urxU","bPywburJMS","DlLNRPXxWL","48vC8HMD2b","sdazOOVcIp","j9kHMeSvPp","212REbPD9h","v1UQAVDJRr","DpFCA1CohY","y75s1iXyHd"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","uFcxV4UQCh","jLgFTUHLKL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rGHVDoGpnC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"↹⩛-51220","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7048","layer":4},{"info":"compute unary expreesion, input=7048, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=2260","layer":2},{"info":"number node, value=3052","layer":4},{"info":"compute unary expreesion, input=3052, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3816","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=1244, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4492021","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4492021, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8983820","layer":2},{"info":"compute binary expreesion, left_input=2260, right_input=8983820, 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=-6780","layer":1},{"info":"number node, value=2694","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=2180, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=47497746","layer":3},{"info":"number node, value=2005","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=1362, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=47497746, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":2},{"info":"number node, value=1359","layer":4},{"info":"number node, value=7347","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=7347, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7782","layer":3},{"info":"compute unary expreesion, input=-7782, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=23346","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23346, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6780, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6780","layer":0}],"base":6,"result_base":6,"text":"((↹⩛52344≃⋄)⇐≅)⨑⩅≇((⫛⫱⨽↹⩛22044)↼⊘⨖↹⩛25400⫘↹⩛5432)∌((↹⩛20250⋾⨃∁↹⩛14032)⪭↹⩛13141∥⊢⊲↹⩛10150⪨≂(⋗⩬⋾(↹⩛10143⨒↹⩛54003)))=↹⩛-51220","reverse_text":"↹⩛-51220=((↹⩛52344≃⋄)⇐≅)⨑⩅≇((⫛⫱⨽↹⩛22044)↼⊘⨖↹⩛25400⫘↹⩛5432)∌((↹⩛20250⋾⨃∁↹⩛14032)⪭↹⩛13141∥⊢⊲↹⩛10150⪨≂(⋗⩬⋾(↹⩛10143⨒↹⩛54003)))","cot":[{"info":"↹⩛52344≃⋄=↹⩛3312","layer":3},{"info":"↹⩛3312⇐≅=↹⩛14244","layer":2},{"info":"⫛⫱⨽↹⩛22044=↹⩛0","layer":3},{"info":"↹⩛25400⫘↹⩛5432=↹⩛240140221","layer":3},{"info":"↹⩛0↼⊘⨖↹⩛240140221=↹⩛520315432","layer":2},{"info":"↹⩛14244⨑⩅≇↹⩛520315432=↹⩛-51220","layer":1},{"info":"↹⩛20250⋾⨃∁↹⩛14032=↹⩛4414012550","layer":3},{"info":"↹⩛13141∥⊢⊲↹⩛10150=NaN","layer":3},{"info":"↹⩛4414012550⪭NaN=NaN","layer":2},{"info":"↹⩛10143⨒↹⩛54003=↹⩛-100010","layer":3},{"info":"⋗⩬⋾↹⩛-100010=↹⩛300030","layer":2},{"info":"NaN⪨≂↹⩛300030=NaN","layer":1},{"info":"↹⩛-51220∌NaN=↹⩛-51220","layer":0}]} +{"id":132,"expression_no_base_symbol":"((⨰⫟⨤$7033$)⪕($7751$⫔⩽⩺$1129$))∺≝⩲(⊆⋠$3342$↤⩊$2351$)⩍⋽⫝̸(($1613$⫸⊐$1046$)⫥∨⫟($3861$⨒$7506$))⪟⇏(($1732$⋓$4545$)∋$2020$⪃⊛⇣$1315$)","expression":"((⨰⫟⨤↹⩛52321)⪕(↹⩛55515⫔⩽⩺↹⩛5121))∺≝⩲(⊆⋠↹⩛23250↤⩊↹⩛14515)⩍⋽⫝̸((↹⩛11245⫸⊐↹⩛4502)⫥∨⫟(↹⩛25513⨒↹⩛54430))⪟⇏((↹⩛12004⋓↹⩛33013)∋↹⩛13204⪃⊛⇣↹⩛10031)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":28474,"operation_count":14,"complexity_ratio":2033.857142857143,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7033,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7751,"base":6},"right_expr":{"type":"numeric_atoms","value":1129,"base":6}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3342,"base":6},"right_expr":{"type":"numeric_atoms","value":2351,"base":6}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1613,"base":6},"right_expr":{"type":"numeric_atoms","value":1046,"base":6}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3861,"base":6},"right_expr":{"type":"numeric_atoms","value":7506,"base":6}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1732,"base":6},"right_expr":{"type":"numeric_atoms","value":4545,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2020,"base":6},"right_expr":{"type":"numeric_atoms","value":1315,"base":6}}}}},"used_operators":["BiWNJpBvwn","KPf6cnQVty","umQnsF7QlU","Tw270M8GLb","i9eR4S00cU","EBhcHTkKd8","13rbtpv6ld","GODebY97qR","KYD54nUTWz","mqXw5SEYmG","y75s1iXyHd","ukq6epAj5P","T2fj7uvVaJ","rrgAzCduG9"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tw270M8GLb","fu6greOZ01","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7033","layer":4},{"info":"compute unary expreesion, input=7033, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=7751","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=7751, right_input=1129, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=3342","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=2351, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=3979, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1613","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=1046, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4059","layer":3},{"info":"number node, value=3861","layer":4},{"info":"number node, value=7506","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=7506, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-22794","layer":3},{"info":"compute binary expreesion, left_input=4059, right_input=-22794, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1732","layer":4},{"info":"number node, value=4545","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=4545, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1315, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2503176","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2503176, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⨰⫟⨤↹⩛52321)⪕(↹⩛55515⫔⩽⩺↹⩛5121))∺≝⩲(⊆⋠↹⩛23250↤⩊↹⩛14515)⩍⋽⫝̸((↹⩛11245⫸⊐↹⩛4502)⫥∨⫟(↹⩛25513⨒↹⩛54430))⪟⇏((↹⩛12004⋓↹⩛33013)∋↹⩛13204⪃⊛⇣↹⩛10031)=NaN","reverse_text":"NaN=((⨰⫟⨤↹⩛52321)⪕(↹⩛55515⫔⩽⩺↹⩛5121))∺≝⩲(⊆⋠↹⩛23250↤⩊↹⩛14515)⩍⋽⫝̸((↹⩛11245⫸⊐↹⩛4502)⫥∨⫟(↹⩛25513⨒↹⩛54430))⪟⇏((↹⩛12004⋓↹⩛33013)∋↹⩛13204⪃⊛⇣↹⩛10031)","cot":[{"info":"⨰⫟⨤↹⩛52321=NaN","layer":3},{"info":"↹⩛55515⫔⩽⩺↹⩛5121=NaN","layer":3},{"info":"NaN⪕NaN=↹⩛4155","layer":2},{"info":"↹⩛23250↤⩊↹⩛14515=NaN","layer":3},{"info":"⊆⋠NaN=↹⩛30231","layer":2},{"info":"↹⩛4155∺≝⩲↹⩛30231=↹⩛424","layer":1},{"info":"↹⩛11245⫸⊐↹⩛4502=↹⩛30443","layer":3},{"info":"↹⩛25513⨒↹⩛54430=↹⩛-253310","layer":3},{"info":"↹⩛30443⫥∨⫟↹⩛-253310=NaN","layer":2},{"info":"↹⩛12004⋓↹⩛33013=↹⩛0","layer":3},{"info":"↹⩛13204⪃⊛⇣↹⩛10031=↹⩛5414","layer":3},{"info":"↹⩛0∋↹⩛5414=↹⩛125352440","layer":2},{"info":"NaN⪟⇏↹⩛125352440=NaN","layer":1},{"info":"↹⩛424⩍⋽⫝̸NaN=NaN","layer":0}]} +{"id":133,"expression_no_base_symbol":"∮(($1524$⫸⊐$6158$)⪢($1503$∙⊟$3573$)⨔≚≋($4776$∠↢$2188$⪉⨛$6803$⪒⊣⊆$1541$))","expression":"∮((↹⩛11020⫸⊐↹⩛44302)⪢(↹⩛10543∙⊟↹⩛24313)⨔≚≋(↹⩛34040∠↢↹⩛14044⪉⨛↹⩛51255⪒⊣⊆↹⩛11045))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31079,"operation_count":8,"complexity_ratio":3884.875,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1524,"base":6},"right_expr":{"type":"numeric_atoms","value":6158,"base":6}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1503,"base":6},"right_expr":{"type":"numeric_atoms","value":3573,"base":6}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4776,"base":6},"right_expr":{"type":"numeric_atoms","value":2188,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":6803,"base":6},"right_expr":{"type":"numeric_atoms","value":1541,"base":6}}}}},"used_operators":["CqXKPLVYql","Z57zeUYC9z","dWAJyo7jo9","mqXw5SEYmG","SxTAKzQCrw","EWw2JM7wp4","KbjG8mgYpV","eRqsBgTDFp"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=6158","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=6158, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24507","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=3573","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=3573, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29385","layer":3},{"info":"compute binary expreesion, left_input=24507, right_input=29385, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4776","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=4776, right_input=2188, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-48654","layer":3},{"info":"number node, value=6803","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=6803, right_input=1541, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13606","layer":3},{"info":"compute binary expreesion, left_input=-48654, right_input=13606, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-186565","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-186565, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∮((↹⩛11020⫸⊐↹⩛44302)⪢(↹⩛10543∙⊟↹⩛24313)⨔≚≋(↹⩛34040∠↢↹⩛14044⪉⨛↹⩛51255⪒⊣⊆↹⩛11045))=NaN","reverse_text":"NaN=∮((↹⩛11020⫸⊐↹⩛44302)⪢(↹⩛10543∙⊟↹⩛24313)⨔≚≋(↹⩛34040∠↢↹⩛14044⪉⨛↹⩛51255⪒⊣⊆↹⩛11045))","cot":[{"info":"↹⩛11020⫸⊐↹⩛44302=↹⩛305243","layer":3},{"info":"↹⩛10543∙⊟↹⩛24313=↹⩛344013","layer":3},{"info":"↹⩛305243⪢↹⩛344013=NaN","layer":2},{"info":"↹⩛34040∠↢↹⩛14044=↹⩛-1013130","layer":3},{"info":"↹⩛51255⪒⊣⊆↹⩛11045=↹⩛142554","layer":3},{"info":"↹⩛-1013130⪉⨛↹⩛142554=↹⩛-3555421","layer":2},{"info":"NaN⨔≚≋↹⩛-3555421=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]} +{"id":134,"expression_no_base_symbol":"((↥$1203$)≝⊿($3645$⋥⋵⩄$8424$)⩼⇪↪(($2609$∽$4362$)⪛($3238$≀⫉$7244$)))⫞⩸⩒(($2230$⊲⩕⊾$2398$)⪟⇏($1982$⊝⪿⪼$3290$)⫃⨇$1949$⪔$2933$+⇶⊼(⨭⩧⫛$1454$))","expression":"((↥↹⩛5323)≝⊿(↹⩛24513⋥⋵⩄↹⩛103000)⩼⇪↪((↹⩛20025∽↹⩛32110)⪛(↹⩛22554≀⫉↹⩛53312)))⫞⩸⩒((↹⩛14154⊲⩕⊾↹⩛15034)⪟⇏(↹⩛13102⊝⪿⪼↹⩛23122)⫃⨇↹⩛13005⪔↹⩛21325+⇶⊼(⨭⩧⫛↹⩛10422))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3411,"operation_count":15,"complexity_ratio":227.4,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1203,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3645,"base":6},"right_expr":{"type":"numeric_atoms","value":8424,"base":6}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2609,"base":6},"right_expr":{"type":"numeric_atoms","value":4362,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3238,"base":6},"right_expr":{"type":"numeric_atoms","value":7244,"base":6}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2230,"base":6},"right_expr":{"type":"numeric_atoms","value":2398,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1982,"base":6},"right_expr":{"type":"numeric_atoms","value":3290,"base":6}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1949,"base":6},"right_expr":{"type":"numeric_atoms","value":2933,"base":6}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1454,"base":6}}}}},"used_operators":["XGcMNugi78","ocnLzx9CaJ","OKKcZfAt5B","A8NUZmVepG","7t3wd0Fuz7","uFcxV4UQCh","y4ImoPnbV5","oZj3VtZNQx","09Ly4LVMIf","GODebY97qR","DmTXOeWf9t","3Oe9XWJUTD","TpPTUOHfaN","GjBEYRfMaF","g21JL6JxX7"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","12rbrZMWeM","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","AHs5Up7iyr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"↹⩛-220222","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":3},{"info":"number node, value=3645","layer":4},{"info":"number node, value=8424","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=8424, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=30, right_input=113, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-789","layer":2},{"info":"number node, value=2609","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=4362, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-25953","layer":3},{"info":"number node, value=3238","layer":4},{"info":"number node, value=7244","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=7244, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-25953, right_input=2822, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2267","layer":2},{"info":"compute binary expreesion, left_input=-789, right_input=2267, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-18230","layer":1},{"info":"number node, value=2230","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=2398, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-56290","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=3290, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=39662","layer":3},{"info":"compute binary expreesion, left_input=-56290, right_input=39662, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1949","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=2933, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18230, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-18230","layer":0}],"base":6,"result_base":6,"text":"((↥↹⩛5323)≝⊿(↹⩛24513⋥⋵⩄↹⩛103000)⩼⇪↪((↹⩛20025∽↹⩛32110)⪛(↹⩛22554≀⫉↹⩛53312)))⫞⩸⩒((↹⩛14154⊲⩕⊾↹⩛15034)⪟⇏(↹⩛13102⊝⪿⪼↹⩛23122)⫃⨇↹⩛13005⪔↹⩛21325+⇶⊼(⨭⩧⫛↹⩛10422))=↹⩛-220222","reverse_text":"↹⩛-220222=((↥↹⩛5323)≝⊿(↹⩛24513⋥⋵⩄↹⩛103000)⩼⇪↪((↹⩛20025∽↹⩛32110)⪛(↹⩛22554≀⫉↹⩛53312)))⫞⩸⩒((↹⩛14154⊲⩕⊾↹⩛15034)⪟⇏(↹⩛13102⊝⪿⪼↹⩛23122)⫃⨇↹⩛13005⪔↹⩛21325+⇶⊼(⨭⩧⫛↹⩛10422))","cot":[{"info":"↥↹⩛5323=↹⩛50","layer":3},{"info":"↹⩛24513⋥⋵⩄↹⩛103000=↹⩛305","layer":3},{"info":"↹⩛50≝⊿↹⩛305=↹⩛-3353","layer":2},{"info":"↹⩛20025∽↹⩛32110=↹⩛-320053","layer":3},{"info":"↹⩛22554≀⫉↹⩛53312=↹⩛21022","layer":3},{"info":"↹⩛-320053⪛↹⩛21022=↹⩛14255","layer":2},{"info":"↹⩛-3353⩼⇪↪↹⩛14255=↹⩛-220222","layer":1},{"info":"↹⩛14154⊲⩕⊾↹⩛15034=↹⩛-1112334","layer":3},{"info":"↹⩛13102⊝⪿⪼↹⩛23122=↹⩛503342","layer":3},{"info":"↹⩛-1112334⪟⇏↹⩛503342=↹⩛0","layer":2},{"info":"↹⩛13005⪔↹⩛21325=↹⩛2030","layer":3},{"info":"⨭⩧⫛↹⩛10422=NaN","layer":3},{"info":"↹⩛2030+⇶⊼NaN=NaN","layer":2},{"info":"↹⩛0⫃⨇NaN=NaN","layer":1},{"info":"↹⩛-220222⫞⩸⩒NaN=↹⩛-220222","layer":0}]} +{"id":135,"expression_no_base_symbol":"((⨙⪌($2865$⋻⩜⩜$1308$))⊨($2116$⪭$1103$≣⋋))⪒⊣⊆($3630$⫡⨏$2281$)⇻���≁($3957$⪟⇏$1017$)⫁((⩏⊷≩$1972$)⨽($1942$↙$1892$))","expression":"((⨙⪌(↹⩛21133⋻⩜⩜↹⩛10020))⊨(↹⩛13444⪭↹⩛5035≣⋋))⪒⊣⊆(↹⩛24450⫡⨏↹⩛14321)⇻⋧≁(↹⩛30153⪟⇏↹⩛4413)⫁((⩏⊷≩↹⩛13044)⨽(↹⩛12554↙↹⩛12432))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":119436469,"operation_count":13,"complexity_ratio":9187420.692307692,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2865,"base":6},"right_expr":{"type":"numeric_atoms","value":1308,"base":6}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2116,"base":6},"right_expr":{"type":"numeric_atoms","value":1103,"base":6}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3630,"base":6},"right_expr":{"type":"numeric_atoms","value":2281,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3957,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1972,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1942,"base":6},"right_expr":{"type":"numeric_atoms","value":1892,"base":6}}}}},"used_operators":["eRqsBgTDFp","vg4gO5BX6G","vEGLkm4Z2k","oDCm7WA9JY","Tcnh7f0tEr","j9kHMeSvPp","0ajvFaJAv0","jCPkEVoL5K","QMFrweE19q","GODebY97qR","8HhzD0ZcuI","uOZ1tnYMDE","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","COABgblf1C","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛105410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2865","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=1308, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5730","layer":3},{"info":"compute unary expreesion, input=5730, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=2116","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=1103, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=4503","layer":1},{"info":"number node, value=3630","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=2281, 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=23495","layer":3},{"info":"number node, value=3957","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=1017, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=23495, right_input=-1, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1972","layer":4},{"info":"compute unary expreesion, input=1972, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=3643","layer":3},{"info":"number node, value=1942","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1892, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5676","layer":3},{"info":"compute binary expreesion, left_input=3643, right_input=-5676, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-39796005","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-39796005, 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=4503, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9006","layer":0}],"base":6,"result_base":6,"text":"((⨙⪌(↹⩛21133⋻⩜⩜↹⩛10020))⊨(↹⩛13444⪭↹⩛5035≣⋋))⪒⊣⊆(↹⩛24450⫡⨏↹⩛14321)⇻⋧≁(↹⩛30153⪟⇏↹⩛4413)⫁((⩏⊷≩↹⩛13044)⨽(↹⩛12554↙↹⩛12432))=↹⩛105410","reverse_text":"↹⩛105410=((⨙⪌(↹⩛21133⋻⩜⩜↹⩛10020))⊨(↹⩛13444⪭↹⩛5035≣⋋))⪒⊣⊆(↹⩛24450⫡⨏↹⩛14321)⇻⋧≁(↹⩛30153⪟⇏↹⩛4413)⫁((⩏⊷≩↹⩛13044)⨽(↹⩛12554↙↹⩛12432))","cot":[{"info":"↹⩛21133⋻⩜⩜↹⩛10020=↹⩛42310","layer":3},{"info":"⨙⪌↹⩛42310=↹⩛4004","layer":2},{"info":"↹⩛13444⪭↹⩛5035=↹⩛5","layer":3},{"info":"↹⩛5≣⋋=↹⩛0","layer":2},{"info":"↹⩛4004⊨↹⩛0=↹⩛32503","layer":1},{"info":"↹⩛24450⫡⨏↹⩛14321=↹⩛300435","layer":3},{"info":"↹⩛30153⪟⇏↹⩛4413=↹⩛-1","layer":3},{"info":"↹⩛300435⇻⋧≁↹⩛-1=↹⩛-2023","layer":2},{"info":"⩏⊷≩↹⩛13044=↹⩛24511","layer":3},{"info":"↹⩛12554↙↹⩛12432=↹⩛-42140","layer":3},{"info":"↹⩛24511⨽↹⩛-42140=↹⩛-3540544433","layer":2},{"info":"↹⩛-2023⫁↹⩛-3540544433=↹⩛424","layer":1},{"info":"↹⩛32503⪒⊣⊆↹⩛424=↹⩛105410","layer":0}]} +{"id":136,"expression_no_base_symbol":"(⇨($1222$≥⨤⩑$2193$))≭($2563$⪄$2282$)↓($2171$⩺⪪$2564$)-($1000$≨$1337$⨐⩸⫘(≸≮$2589$))⨭⪣($1808$⋝⋈⪟$3818$)⪭($1853$⪭≯$2904$)","expression":"(⇨(↹⩛5354≥⨤⩑↹⩛14053))≭(↹⩛15511⪄↹⩛14322)↓(↹⩛14015⩺⪪↹⩛15512)-(↹⩛4344≨↹⩛10105⨐⩸⫘(≸≮↹⩛15553))⨭⪣(↹⩛12212⋝⋈⪟↹⩛25402)⪭(↹⩛12325⪭≯↹⩛21240)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36182,"operation_count":14,"complexity_ratio":2584.4285714285716,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1222,"base":6},"right_expr":{"type":"numeric_atoms","value":2193,"base":6}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2563,"base":6},"right_expr":{"type":"numeric_atoms","value":2282,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2171,"base":6},"right_expr":{"type":"numeric_atoms","value":2564,"base":6}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":1337,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2589,"base":6}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1808,"base":6},"right_expr":{"type":"numeric_atoms","value":3818,"base":6}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1853,"base":6},"right_expr":{"type":"numeric_atoms","value":2904,"base":6}}}}},"used_operators":["rysDP5nf3Z","rxpJgHHUmx","G9tJMlZ94a","gJLn6v0xnP","Af076pWI7l","SUmda5xLS4","uvdQJvN4PV","kn8WO9XteQ","fu6greOZ01","0KMCeP1Jsh","AljMvE3RRm","j9kHMeSvPp","2DDjHMKMc0","XAx5wpdLa6"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","3ViojmjbAp","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=2193, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=2563","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=2282, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-384541","layer":3},{"info":"number node, value=2171","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=2564, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=-384541, right_input=-1818, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-134, 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=1000","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1337, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-7524","layer":3},{"info":"number node, value=2589","layer":4},{"info":"compute unary expreesion, input=2589, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7524, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1808","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=3818, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1808","layer":3},{"info":"number node, value=1853","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=2904, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1808, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇨(↹⩛5354≥⨤⩑↹⩛14053))≭(↹⩛15511⪄↹⩛14322)↓(↹⩛14015⩺⪪↹⩛15512)-(↹⩛4344≨↹⩛10105⨐⩸⫘(≸≮↹⩛15553))⨭⪣(↹⩛12212⋝⋈⪟↹⩛25402)⪭(↹⩛12325⪭≯↹⩛21240)=NaN","reverse_text":"NaN=(⇨(↹⩛5354≥⨤⩑↹⩛14053))≭(↹⩛15511⪄↹⩛14322)↓(↹⩛14015⩺⪪↹⩛15512)-(↹⩛4344≨↹⩛10105⨐⩸⫘(≸≮↹⩛15553))⨭⪣(↹⩛12212⋝⋈⪟↹⩛25402)⪭(↹⩛12325⪭≯↹⩛21240)","cot":[{"info":"↹⩛5354≥⨤⩑↹⩛14053=↹⩛5414","layer":3},{"info":"⇨↹⩛5414=↹⩛0","layer":2},{"info":"↹⩛15511⪄↹⩛14322=↹⩛-12124141","layer":3},{"info":"↹⩛14015⩺⪪↹⩛15512=↹⩛-12230","layer":3},{"info":"↹⩛-12124141↓↹⩛-12230=↹⩛-342","layer":2},{"info":"↹⩛0≭↹⩛-342=NaN","layer":1},{"info":"↹⩛4344≨↹⩛10105=↹⩛-54500","layer":3},{"info":"≸≮↹⩛15553=NaN","layer":3},{"info":"↹⩛-54500⨐⩸⫘NaN=NaN","layer":2},{"info":"↹⩛12212⋝⋈⪟↹⩛25402=↹⩛12212","layer":3},{"info":"↹⩛12325⪭≯↹⩛21240=NaN","layer":3},{"info":"↹⩛12212⪭NaN=NaN","layer":2},{"info":"NaN⨭⪣NaN=↹⩛-33","layer":1},{"info":"NaN-↹⩛-33=NaN","layer":0}]} +{"id":137,"expression_no_base_symbol":"(($1286$⇽⩪)⪍↜⋙$3599$⨑⩅≇$3991$↙$1598$⋣⋖$1554$⊹∫⫚($2114$⋷$1373$))⩷∴(⊢≑≆(⩩($9283$⨵⪆$2222$)))","expression":"((↹⩛5542⇽⩪)⪍↜⋙↹⩛24355⨑⩅≇↹⩛30251↙↹⩛11222⋣⋖↹⩛11110⊹∫⫚(↹⩛13442⋷↹⩛10205))⩷∴(⊢≑≆(⩩(↹⩛110551⨵⪆↹⩛14142)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31058,"operation_count":11,"complexity_ratio":2823.4545454545455,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1286,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3599,"base":6},"right_expr":{"type":"numeric_atoms","value":3991,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1598,"base":6},"right_expr":{"type":"numeric_atoms","value":1554,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2114,"base":6},"right_expr":{"type":"numeric_atoms","value":1373,"base":6}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9283,"base":6},"right_expr":{"type":"numeric_atoms","value":2222,"base":6}}}}},"used_operators":["9FxExcQeMw","yyfyN0ffXY","L05ObWFQCd","FonBHBYJbU","h92wMvzauj","uWAJUKEvyW","J0M6qkBnIM","23Mk6UjR3U","27wFxooxGf","kMhfGuqI2H","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3094","layer":3},{"info":"number node, value=3599","layer":4},{"info":"number node, value=3991","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=3991, 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=-10797","layer":3},{"info":"compute binary expreesion, left_input=3094, right_input=-10797, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=27782","layer":2},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1554, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1598","layer":3},{"info":"number node, value=2114","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=1373, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=632","layer":3},{"info":"compute binary expreesion, left_input=1598, right_input=632, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=27782, right_input=-244, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=732","layer":1},{"info":"number node, value=9283","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=9283, right_input=2222, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=732, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5542⇽⩪)⪍↜⋙↹⩛24355⨑⩅≇↹⩛30251↙↹⩛11222⋣⋖↹⩛11110⊹∫⫚(↹⩛13442⋷↹⩛10205))⩷∴(⊢≑≆(⩩(↹⩛110551⨵⪆↹⩛14142)))=NaN","reverse_text":"NaN=((↹⩛5542⇽⩪)⪍↜⋙↹⩛24355⨑⩅≇↹⩛30251↙↹⩛11222⋣⋖↹⩛11110⊹∫⫚(↹⩛13442⋷↹⩛10205))⩷∴(⊢≑≆(⩩(↹⩛110551⨵⪆↹⩛14142)))","cot":[{"info":"↹⩛5542⇽⩪=↹⩛22154","layer":3},{"info":"↹⩛24355⨑⩅≇↹⩛30251=↹⩛-121553","layer":3},{"info":"↹⩛22154⪍↜⋙↹⩛-121553=↹⩛332342","layer":2},{"info":"↹⩛11222⋣⋖↹⩛11110=↹⩛11222","layer":3},{"info":"↹⩛13442⋷↹⩛10205=↹⩛2532","layer":3},{"info":"↹⩛11222⊹∫⫚↹⩛2532=↹⩛-1044","layer":2},{"info":"↹⩛332342↙↹⩛-1044=↹⩛3220","layer":1},{"info":"↹⩛110551⨵⪆↹⩛14142=↹⩛424","layer":3},{"info":"⩩↹⩛424=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"↹⩛3220⩷∴NaN=NaN","layer":0}]} +{"id":138,"expression_no_base_symbol":"≛(⪛⨧(⨂⪏⇭($2849$⋷$3315$)))","expression":"≛(⪛⨧(⨂⪏⇭(↹⩛21105⋷↹⩛23203)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":4,"complexity_ratio":12.25,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2849,"base":6},"right_expr":{"type":"numeric_atoms","value":3315,"base":6}}}}},"used_operators":["W7eaUhjymW","6NJAcO2OWT","AYdpE9sXAk","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-14","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2849","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=3315, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3781","layer":3},{"info":"compute unary expreesion, input=3781, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=10364","layer":2},{"info":"compute unary expreesion, input=10364, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=22129","layer":1},{"info":"compute unary expreesion, input=22129, 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":6,"result_base":6,"text":"≛(⪛⨧(⨂⪏⇭(↹⩛21105⋷↹⩛23203)))=↹⩛-14","reverse_text":"↹⩛-14=≛(⪛⨧(⨂⪏⇭(↹⩛21105⋷↹⩛23203)))","cot":[{"info":"↹⩛21105⋷↹⩛23203=↹⩛25301","layer":3},{"info":"⨂⪏⇭↹⩛25301=↹⩛115552","layer":2},{"info":"⪛⨧↹⩛115552=↹⩛250241","layer":1},{"info":"≛↹⩛250241=↹⩛-14","layer":0}]} +{"id":139,"expression_no_base_symbol":"($4801$⪪$4009$≬⇓(⨴⫝$4132$)⩨(⨰⫟⨤$9013$)⩷∴(∐⩳⋚$1561$))∈","expression":"(↹⩛34121⪪↹⩛30321≬⇓(⨴⫝↹⩛31044)⩨(⨰⫟⨤↹⩛105421)⩷∴(∐⩳⋚↹⩛11121))∈","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2215052,"operation_count":8,"complexity_ratio":276881.5,"tree":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4801,"base":6},"right_expr":{"type":"numeric_atoms","value":4009,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":4132,"base":6}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":9013,"base":6}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1561,"base":6}}}}},"used_operators":["ztP7wcbY7m","2DlMacCsIx","jWTQ2TZYIH","xD69zh8xqp","SVb2v531z1","9FxExcQeMw","Tw270M8GLb","SL6IHkK8vl"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","FU0Cs4j7VP","JclMnS0uGI","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4801","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=4009, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-721040","layer":3},{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=-721040, right_input=2828198, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"number node, value=9013","layer":4},{"info":"compute unary expreesion, input=9013, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=217328","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=217328, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34121⪪↹⩛30321≬⇓(⨴⫝↹⩛31044)⩨(⨰⫟⨤↹⩛105421)⩷∴(∐⩳⋚↹⩛11121))∈=NaN","reverse_text":"NaN=(↹⩛34121⪪↹⩛30321≬⇓(⨴⫝↹⩛31044)⩨(⨰⫟⨤↹⩛105421)⩷∴(∐⩳⋚↹⩛11121))∈","cot":[{"info":"↹⩛34121⪪↹⩛30321=↹⩛-23242052","layer":3},{"info":"⨴⫝↹⩛31044=↹⩛140341302","layer":3},{"info":"↹⩛-23242052≬⇓↹⩛140341302=Inf","layer":2},{"info":"⨰⫟⨤↹⩛105421=NaN","layer":3},{"info":"∐⩳⋚↹⩛11121=↹⩛4354052","layer":3},{"info":"NaN⩷∴↹⩛4354052=NaN","layer":2},{"info":"Inf⩨NaN=NaN","layer":1},{"info":"NaN∈=NaN","layer":0}]} +{"id":140,"expression_no_base_symbol":"(↴⪽⋼$1056$∑⇟⊟$2782$)↬($2828$⇼⇔∾$2586$)↞⋁($2486$⪨≂$1412$)⫢⨠($2099$⋕⪉⪜$2407$⫢⨠$3221$⩇∃⫛$5312$)⪥((⫡⇟⇯$5700$)≹⇙⪍$3115$⫁$1970$)","expression":"(↴⪽⋼↹⩛4520∑⇟⊟↹⩛20514)↬(↹⩛21032⇼⇔∾↹⩛15550)↞⋁(↹⩛15302⪨≂↹⩛10312)⫢⨠(↹⩛13415⋕⪉⪜↹⩛15051⫢⨠↹⩛22525⩇∃⫛↹⩛40332)⪥((⫡⇟⇯↹⩛42220)≹⇙⪍↹⩛22231⫁↹⩛13042)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30690,"operation_count":14,"complexity_ratio":2192.1428571428573,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1056,"base":6},"right_expr":{"type":"numeric_atoms","value":2782,"base":6}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2828,"base":6},"right_expr":{"type":"numeric_atoms","value":2586,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2486,"base":6},"right_expr":{"type":"numeric_atoms","value":1412,"base":6}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2099,"base":6},"right_expr":{"type":"numeric_atoms","value":2407,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3221,"base":6},"right_expr":{"type":"numeric_atoms","value":5312,"base":6}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":5700,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3115,"base":6},"right_expr":{"type":"numeric_atoms","value":1970,"base":6}}}}},"used_operators":["xlXykHWxX1","B5M0gjZbta","5TUYCnJO6w","U7g4x0WXJJ","RqrPlJkxDo","tifHPKVTfV","sdazOOVcIp","QbnwKVWMIQ","z6LnFrNh4i","1aApVXNlOP","AHs5Up7iyr","qWUSsah53b","0ajvFaJAv0"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rGHVDoGpnC","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","DZ8iAZOCBD","P8v4zCKN1o","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1056","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=2782, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":2},{"info":"number node, value=2828","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=2586, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-242","layer":3},{"info":"number node, value=2486","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=1412, 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=2250","layer":3},{"info":"compute binary expreesion, left_input=-242, right_input=2250, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2099","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=2407, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=3221","layer":4},{"info":"number node, value=5312","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=5312, 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=2564","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=2564, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=5700","layer":4},{"info":"compute unary expreesion, input=5700, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=12268","layer":3},{"info":"number node, value=3115","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=1970, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=12268, right_input=160, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=5292","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5292, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↴⪽⋼↹⩛4520∑⇟⊟↹⩛20514)↬(↹⩛21032⇼⇔∾↹⩛15550)↞⋁(↹⩛15302⪨≂↹⩛10312)⫢⨠(↹⩛13415⋕⪉⪜↹⩛15051⫢⨠↹⩛22525⩇∃⫛↹⩛40332)⪥((⫡⇟⇯↹⩛42220)≹⇙⪍↹⩛22231⫁↹⩛13042)=NaN","reverse_text":"NaN=(↴⪽⋼↹⩛4520∑⇟⊟↹⩛20514)↬(↹⩛21032⇼⇔∾↹⩛15550)↞⋁(↹⩛15302⪨≂↹⩛10312)⫢⨠(↹⩛13415⋕⪉⪜↹⩛15051⫢⨠↹⩛22525⩇∃⫛↹⩛40332)⪥((⫡⇟⇯↹⩛42220)≹⇙⪍↹⩛22231⫁↹⩛13042)","cot":[{"info":"↹⩛4520∑⇟⊟↹⩛20514=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"↹⩛21032⇼⇔∾↹⩛15550=↹⩛-1042","layer":3},{"info":"↹⩛15302⪨≂↹⩛10312=↹⩛14230","layer":3},{"info":"↹⩛-1042↞⋁↹⩛14230=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"↹⩛13415⋕⪉⪜↹���15051=↹⩛20550","layer":3},{"info":"↹⩛22525⩇∃⫛↹⩛40332=↹⩛15512","layer":3},{"info":"↹⩛20550⫢⨠↹⩛15512=↹⩛424","layer":2},{"info":"⫡⇟⇯↹⩛42220=↹⩛132444","layer":3},{"info":"↹⩛22231⫁↹⩛13042=↹⩛424","layer":3},{"info":"↹⩛132444≹⇙⪍↹⩛424=NaN","layer":2},{"info":"↹⩛424⪥NaN=↹⩛40300","layer":1},{"info":"NaN⫢⨠↹⩛40300=NaN","layer":0}]} +{"id":141,"expression_no_base_symbol":"⫟($1927$≬⋮$6780$*$1366$≄⊠$2751$)⊴(≉$3746$)∺≝⩲(⊽$5582$)","expression":"⫟(↹⩛12531≬⋮↹⩛51220*↹⩛10154≄⊠↹⩛20423)⊴(≉↹⩛25202)∺≝⩲(⊽↹⩛41502)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":642548,"operation_count":8,"complexity_ratio":80318.5,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1927,"base":6},"right_expr":{"type":"numeric_atoms","value":6780,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1366,"base":6},"right_expr":{"type":"numeric_atoms","value":2751,"base":6}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3746,"base":6}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":5582,"base":6}}}}},"used_operators":["z4E1FaHLuy","Nsiff2A1zJ","9HNa5Wba9A","kbkesczE7y","vXNesLlMH1","KPf6cnQVty","e1ybzncUwg","QxG7OkqoLX"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1927","layer":4},{"info":"number node, value=6780","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=6780, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=2751, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=48684","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=48684, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=42257712","layer":2},{"info":"number node, value=3746","layer":4},{"info":"compute unary expreesion, input=3746, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4277","layer":3},{"info":"number node, value=5582","layer":4},{"info":"compute unary expreesion, input=5582, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=12686","layer":3},{"info":"compute binary expreesion, left_input=4277, right_input=12686, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=42257712, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫟(↹⩛12531≬⋮↹⩛51220*↹⩛10154≄⊠↹⩛20423)⊴(≉↹⩛25202)∺≝⩲(⊽↹⩛41502)=NaN","reverse_text":"NaN=⫟(↹⩛12531≬⋮↹⩛51220*↹⩛10154≄⊠↹⩛20423)⊴(≉↹⩛25202)∺≝⩲(⊽↹⩛41502)","cot":[{"info":"↹⩛12531≬⋮↹⩛51220=↹⩛4004","layer":3},{"info":"↹⩛10154≄⊠↹⩛20423=↹⩛1013220","layer":3},{"info":"↹⩛4004*↹⩛1013220=↹⩛4105421320","layer":2},{"info":"≉↹⩛25202=↹⩛31445","layer":3},{"info":"⊽↹⩛41502=↹⩛134422","layer":3},{"info":"↹⩛31445∺≝⩲↹⩛134422=↹⩛424","layer":2},{"info":"↹⩛4105421320⊴↹⩛424=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]} +{"id":142,"expression_no_base_symbol":"⋼∭⪍(($2911$⨒$4403$/(↥$4026$))⪘⫢(⊵⊁$3573$)≴⪞⇿($5220$⩭))","expression":"⋼∭⪍((↹⩛21251⨒↹⩛32215/(↥↹⩛30350))⪘⫢(⊵⊁↹⩛24313)≴⪞⇿(↹⩛40100⩭))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38768,"operation_count":8,"complexity_ratio":4846.0,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2911,"base":6},"right_expr":{"type":"numeric_atoms","value":4403,"base":6}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4026,"base":6}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3573,"base":6}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":5220,"base":6}}}}},"used_operators":["DbCuESL50I","oacrs7FA3X","XhwjNDsVaA","y75s1iXyHd","A8NUZmVepG","lvlrscuwVU","AvED76WdY7","yIPP7u6H5x"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","k8jYdgA6NY","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","uBihLCJcMX","k8jYdgA6NY","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"↹⩛4214","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":4},{"info":"number node, value=4403","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=4403, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-17094","layer":3},{"info":"number node, value=4026","layer":4},{"info":"compute unary expreesion, input=4026, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":3},{"info":"compute binary expreesion, left_input=-17094, right_input=48, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-357","layer":2},{"info":"number node, value=3573","layer":4},{"info":"compute unary expreesion, input=3573, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=20368","layer":3},{"info":"number node, value=5220","layer":4},{"info":"compute unary expreesion, input=5220, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20368, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=807618284","layer":2},{"info":"compute binary expreesion, left_input=-357, right_input=807618284, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":0}],"base":6,"result_base":6,"text":"⋼∭⪍((↹⩛21251⨒↹⩛32215/(↥↹⩛30350))⪘⫢(⊵⊁↹⩛24313)≴⪞⇿(↹⩛40100⩭))=↹⩛4214","reverse_text":"↹⩛4214=⋼∭⪍((↹⩛21251⨒↹⩛32215/(↥↹⩛30350))⪘⫢(⊵⊁↹⩛24313)≴⪞⇿(↹⩛40100⩭))","cot":[{"info":"↹⩛21251⨒↹⩛32215=↹⩛-211050","layer":3},{"info":"↥↹⩛30350=↹⩛120","layer":3},{"info":"↹⩛-211050/↹⩛120=↹⩛-1353","layer":2},{"info":"⊵⊁↹⩛24313=↹⩛234144","layer":3},{"info":"↹⩛40100⩭=NaN","layer":3},{"info":"↹⩛234144≴⪞⇿NaN=↹⩛212050021312","layer":2},{"info":"↹⩛-1353⪘⫢↹⩛212050021312=↹⩛0","layer":1},{"info":"⋼∭⪍↹⩛0=↹⩛4214","layer":0}]} +{"id":143,"expression_no_base_symbol":"⊊≼∋(($5771$⫥∨⫟$1441$)⪮%⊝$1670$⫞⩸⩒$1036$⪠⩆⊳)","expression":"⊊≼∋((↹⩛42415⫥∨⫟↹⩛10401)⪮%⊝↹⩛11422⫞⩸⩒↹⩛4444⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":214,"operation_count":5,"complexity_ratio":42.8,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5771,"base":6},"right_expr":{"type":"numeric_atoms","value":1441,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1670,"base":6},"right_expr":{"type":"numeric_atoms","value":1036,"base":6}}}}},"used_operators":["FWz7pXsQhA","JLbD19bQDL","IWmyXbctLI","KYD54nUTWz","XGcMNugi78"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5771","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=5771, right_input=1441, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1036, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1036","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1036, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊊≼∋((↹⩛42415⫥∨⫟↹⩛10401)⪮%⊝↹⩛11422⫞⩸⩒↹⩛4444⪠⩆⊳)=NaN","reverse_text":"NaN=⊊≼∋((↹⩛42415⫥∨⫟↹⩛10401)⪮%⊝↹⩛11422⫞⩸⩒↹⩛4444⪠⩆⊳)","cot":[{"info":"↹⩛42415⫥∨⫟↹⩛10401=NaN","layer":3},{"info":"↹⩛11422⫞⩸⩒↹⩛4444=↹⩛4444","layer":3},{"info":"NaN⪮%⊝↹⩛4444=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]} +{"id":144,"expression_no_base_symbol":"((($2609$⩹$6978$)⨲)⪕($1446$∛$5858$)⨽∌($2217$∛≔))⫉⨲⊜($3536$⇤$3737$)⇡⇂($1842$/$1593$)↹⊜((≪$1978$)∌($1872$⊝))","expression":"(((↹⩛20025⩹↹⩛52150)⨲)⪕(↹⩛10410∛↹⩛43042)⨽∌(↹⩛14133∛≔))⫉⨲⊜(↹⩛24212⇤↹⩛25145)⇡⇂(↹⩛12310/↹⩛11213)↹⊜((≪↹⩛13054)∌(↹⩛12400⊝))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5804490,"operation_count":14,"complexity_ratio":414606.4285714286,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2609,"base":6},"right_expr":{"type":"numeric_atoms","value":6978,"base":6}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1446,"base":6},"right_expr":{"type":"numeric_atoms","value":5858,"base":6}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":2217,"base":6}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3536,"base":6},"right_expr":{"type":"numeric_atoms","value":3737,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1842,"base":6},"right_expr":{"type":"numeric_atoms","value":1593,"base":6}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1978,"base":6}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1872,"base":6}}}}},"used_operators":["WhqkvtTD3t","umQnsF7QlU","nLYMGWM7L8","2Wsdkap16l","9samAPKr6k","w2537kitQq","mGnSCrte3L","9bazX3JMtO","UMwdvZNt44","YSKBFp38Pu","XhwjNDsVaA","8cLx32lpNA","Qtd6bqUJcN","O6EZ0fifGK"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2609","layer":4},{"info":"number node, value=6978","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=6978, 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=6976","layer":3},{"info":"compute unary expreesion, input=6976, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":2},{"info":"number node, value=1446","layer":4},{"info":"number node, value=5858","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=5858, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-871310669","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-871310669, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":1},{"info":"number node, value=3536","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=3737, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-33517","layer":3},{"info":"number node, value=1842","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1593, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-33517, right_input=1, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=1978","layer":4},{"info":"compute unary expreesion, input=1978, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1872","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=1872, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1872, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛20025⩹↹⩛52150)⨲)⪕(↹⩛10410∛↹⩛43042)⨽∌(↹⩛14133∛≔))⫉⨲⊜(↹⩛24212⇤↹⩛25145)⇡⇂(↹⩛12310/↹⩛11213)↹⊜((≪↹⩛13054)∌(↹⩛12400⊝))=NaN","reverse_text":"NaN=(((↹⩛20025⩹↹⩛52150)⨲)⪕(↹⩛10410∛↹⩛43042)⨽∌(↹⩛14133∛≔))⫉⨲⊜(↹⩛24212⇤↹⩛25145)⇡⇂(↹⩛12310/↹⩛11213)↹⊜((≪↹⩛13054)∌(↹⩛12400⊝))","cot":[{"info":"↹⩛20025⩹↹⩛52150=↹⩛52144","layer":3},{"info":"↹⩛52144⨲=NaN","layer":2},{"info":"↹⩛10410∛↹⩛43042=↹⩛-3034","layer":3},{"info":"↹⩛14133∛≔=↹⩛-222243113405","layer":3},{"info":"↹⩛-3034⨽∌↹⩛-222243113405=↹⩛0","layer":2},{"info":"NaN⪕↹⩛0=NaN","layer":1},{"info":"↹⩛24212⇤↹⩛25145=↹⩛-415101","layer":3},{"info":"↹⩛12310/↹⩛11213=↹⩛1","layer":3},{"info":"↹⩛-415101⇡⇂↹⩛1=NaN","layer":2},{"info":"≪↹⩛13054=↹⩛4121","layer":3},{"info":"↹⩛12400⊝=↹⩛12400","layer":3},{"info":"↹⩛4121∌↹⩛12400=↹⩛-12400","layer":2},{"info":"NaN↹⊜↹⩛-12400=NaN","layer":1},{"info":"NaN⫉⨲⊜NaN=NaN","layer":0}]} +{"id":145,"expression_no_base_symbol":"((⋃$2799$↢$1583$)⇐≅)⪍↜⋙(⋠∜($1592$⪭$3994$⫲≸⪮$1684$⪚$1107$))","expression":"((⋃↹⩛20543↢↹⩛11155)⇐≅)⪍↜⋙(⋠∜(↹⩛11212⪭↹⩛30254⫲≸⪮↹⩛11444⪚↹⩛5043))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":96,"operation_count":8,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2799,"base":6},"right_expr":{"type":"numeric_atoms","value":1583,"base":6}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1592,"base":6},"right_expr":{"type":"numeric_atoms","value":3994,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1684,"base":6},"right_expr":{"type":"numeric_atoms","value":1107,"base":6}}}}},"used_operators":["L05ObWFQCd","wEfv7U73WA","3mBM5G4a3l","WR6HLWljOP","ZJpFhNJr3x","P3lXMJvFrc","j9kHMeSvPp","HrjLwUk87U"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"↹⩛301452","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2799","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=2799, right_input=1583, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2315","layer":3},{"info":"compute unary expreesion, input=2315, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=4732","layer":2},{"info":"compute unary expreesion, input=4732, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=14164","layer":1},{"info":"number node, value=1592","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=3994, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1107, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=798","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=798, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2304","layer":1},{"info":"compute binary expreesion, left_input=14164, right_input=2304, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=23720","layer":0}],"base":6,"result_base":6,"text":"((⋃↹⩛20543↢↹⩛11155)⇐≅)⪍↜⋙(⋠∜(↹⩛11212⪭↹⩛30254⫲≸⪮↹⩛11444⪚↹⩛5043))=↹⩛301452","reverse_text":"↹⩛301452=((⋃↹⩛20543↢↹⩛11155)⇐≅)⪍↜⋙(⋠∜(↹⩛11212⪭↹⩛30254⫲≸⪮↹⩛11444⪚↹⩛5043))","cot":[{"info":"↹⩛20543↢↹⩛11155=↹⩛14415","layer":3},{"info":"⋃↹⩛14415=↹⩛33524","layer":2},{"info":"↹⩛33524⇐≅=↹⩛145324","layer":1},{"info":"↹⩛11212⪭↹⩛30254=↹⩛5","layer":3},{"info":"↹⩛11444⪚↹⩛5043=↹⩛3410","layer":3},{"info":"↹⩛5⫲≸⪮↹⩛3410=↹⩛5","layer":2},{"info":"⋠∜↹⩛5=↹⩛14400","layer":1},{"info":"↹⩛145324⪍↜⋙↹⩛14400=↹⩛301452","layer":0}]} +{"id":146,"expression_no_base_symbol":"(($4618$⊾⪯⋞$7516$)⫯⪬∳(≀↧⇸$7803$)⩺⪪($1098$⫸⊐$5606$)⊝⪿⪼($8428$⩷∴$7244$))⪭($1192$↞⋁$1131$⨸($1918$≓∲$1400$)∀⇚≩($1001$≝⊿$3429$⫳≱↱($1080$-$5252$)))","expression":"((↹⩛33214⊾⪯⋞↹⩛54444)⫯⪬∳(≀↧⇸↹⩛100043)⩺⪪(↹⩛5030⫸⊐↹⩛41542)⊝⪿⪼(↹⩛103004⩷∴↹⩛53312))⪭(↹⩛5304↞⋁↹⩛5123⨸(↹⩛12514≓∲↹⩛10252)∀⇚≩(↹⩛4345≝⊿↹⩛23513⫳≱↱(↹⩛5000-↹⩛40152)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":658,"operation_count":15,"complexity_ratio":43.86666666666667,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4618,"base":6},"right_expr":{"type":"numeric_atoms","value":7516,"base":6}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7803,"base":6}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1098,"base":6},"right_expr":{"type":"numeric_atoms","value":5606,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8428,"base":6},"right_expr":{"type":"numeric_atoms","value":7244,"base":6}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1192,"base":6},"right_expr":{"type":"numeric_atoms","value":1131,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1918,"base":6},"right_expr":{"type":"numeric_atoms","value":1400,"base":6}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1001,"base":6},"right_expr":{"type":"numeric_atoms","value":3429,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1080,"base":6},"right_expr":{"type":"numeric_atoms","value":5252,"base":6}}}}},"used_operators":["j9kHMeSvPp","uvdQJvN4PV","d7ASUq0ydm","HK0tfVPux8","ljTHtUsqzn","3Oe9XWJUTD","mqXw5SEYmG","9FxExcQeMw","LRNGc0VcxI","KmoU8R5UQR","RqrPlJkxDo","s1XTVnmDOJ","ZvLB05nZmT","OKKcZfAt5B","rysDP5nf3Z"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","XPYlsWDdGa","23Mk6UjR3U","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","X99M06cbEe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","12rbrZMWeM"],"result":"↹⩛11340","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4618","layer":4},{"info":"number node, value=7516","layer":4},{"info":"compute binary expreesion, left_input=4618, right_input=7516, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=14606","layer":3},{"info":"number node, value=7803","layer":4},{"info":"compute unary expreesion, input=7803, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=15606","layer":3},{"info":"compute binary expreesion, left_input=14606, right_input=15606, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=57457","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=5606, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22299","layer":3},{"info":"number node, value=8428","layer":4},{"info":"number node, value=7244","layer":4},{"info":"compute binary expreesion, left_input=8428, right_input=7244, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2336","layer":3},{"info":"compute binary expreesion, left_input=22299, right_input=2336, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=295059","layer":2},{"info":"compute binary expreesion, left_input=57457, right_input=295059, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1131, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1918","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=1400, 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=19963","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19963, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=3429","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3429, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8392","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=5252","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=5252, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4172","layer":3},{"info":"compute binary expreesion, left_input=-8392, right_input=-4172, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2802, 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=-1818, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1644","layer":0}],"base":6,"result_base":6,"text":"((↹⩛33214⊾⪯⋞↹⩛54444)⫯⪬∳(≀↧⇸↹⩛100043)⩺⪪(↹⩛5030⫸⊐↹⩛41542)⊝⪿⪼(↹⩛103004⩷∴↹⩛53312))⪭(↹⩛5304↞⋁↹⩛5123⨸(↹⩛12514≓∲↹⩛10252)∀⇚≩(↹⩛4345≝⊿↹⩛23513⫳≱↱(↹⩛5000-↹⩛40152)))=↹⩛11340","reverse_text":"↹⩛11340=((↹⩛33214⊾⪯⋞↹⩛54444)⫯⪬∳(≀↧⇸↹⩛100043)⩺⪪(↹⩛5030⫸⊐↹⩛41542)⊝⪿⪼(↹⩛103004⩷∴↹⩛53312))⪭(↹⩛5304↞⋁↹⩛5123⨸(↹⩛12514≓∲↹⩛10252)∀⇚≩(↹⩛4345≝⊿↹⩛23513⫳≱↱(↹⩛5000-↹⩛40152)))","cot":[{"info":"↹⩛33214⊾⪯⋞↹⩛54444=↹⩛151342","layer":3},{"info":"≀↧⇸↹⩛100043=↹⩛200130","layer":3},{"info":"↹⩛151342⫯⪬∳↹⩛200130=↹⩛1122001","layer":2},{"info":"↹⩛5030⫸⊐↹⩛41542=↹⩛251123","layer":3},{"info":"↹⩛103004⩷∴↹⩛53312=↹⩛14452","layer":3},{"info":"↹⩛251123⊝⪿⪼↹⩛14452=↹⩛10154003","layer":2},{"info":"↹⩛1122001⩺⪪↹⩛10154003=↹⩛-12230","layer":1},{"info":"↹⩛5304↞⋁↹⩛5123=NaN","layer":3},{"info":"↹⩛12514≓∲↹⩛10252=↹⩛232231","layer":3},{"info":"NaN⨸↹⩛232231=NaN","layer":2},{"info":"↹⩛4345≝⊿↹⩛23513=↹⩛-102504","layer":3},{"info":"↹⩛5000-↹⩛40152=↹⩛-31152","layer":3},{"info":"↹⩛-102504⫳≱↱↹⩛-31152=↹⩛-20550","layer":2},{"info":"NaN∀⇚≩↹⩛-20550=NaN","layer":1},{"info":"↹⩛-12230⪭NaN=↹⩛11340","layer":0}]} +{"id":147,"expression_no_base_symbol":"(⩦⩻⨪($5603$∽$5403$))⋓(⨡↴$6729$→⨶⪴$3772$)⫌⩉⩟($6327$≁$5966$⫽⇹≛)⪄(⇖⫷⫕$7812$)+⪬∐(⩒∊$2195$)","expression":"(⩦⩻⨪(↹⩛41535∽↹⩛41003))⋓(⨡↴↹⩛51053→⨶⪴↹⩛25244)⫌⩉⩟(↹⩛45143≁↹⩛43342⫽⇹≛)⪄(⇖⫷⫕↹⩛100100)+⪬∐(⩒∊↹⩛14055)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19733,"operation_count":12,"complexity_ratio":1644.4166666666667,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5603,"base":6},"right_expr":{"type":"numeric_atoms","value":5403,"base":6}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6729,"base":6},"right_expr":{"type":"numeric_atoms","value":3772,"base":6}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":6327,"base":6},"right_expr":{"type":"numeric_atoms","value":5966,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":7812,"base":6}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2195,"base":6}}}}},"used_operators":["XIIwhv8d0m","T2fj7uvVaJ","2td37pGCOC","y4ImoPnbV5","liw5iZPkLH","bF6eod5Gvf","SUmda5xLS4","NNaDxxp6OQ","8N2wDY1A35","2GS7woTJqF","UHmRx3INFg","qazvmhNBbN"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","8w2t5hMYqp","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","g55IO6H4Gj","D4vGDi5EA2","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"↹⩛-122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5603","layer":4},{"info":"number node, value=5403","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=5403, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-44046","layer":3},{"info":"compute unary expreesion, input=-44046, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-44046","layer":2},{"info":"number node, value=6729","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=6729, right_input=3772, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11316","layer":3},{"info":"compute unary expreesion, input=-11316, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-44046, right_input=-55, 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=6327","layer":4},{"info":"number node, value=5966","layer":4},{"info":"compute binary expreesion, left_input=6327, right_input=5966, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=129983","layer":3},{"info":"compute unary expreesion, input=129983, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=7812","layer":4},{"info":"compute unary expreesion, input=7812, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=3633","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=3633, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8466","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=-8466, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2481","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2481, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪(↹⩛41535∽↹⩛41003))⋓(⨡↴↹⩛51053→⨶⪴↹⩛25244)⫌⩉⩟(↹⩛45143≁↹⩛43342⫽⇹≛)⪄(⇖⫷⫕↹⩛100100)+⪬∐(⩒∊↹⩛14055)=↹⩛-122","reverse_text":"↹⩛-122=(⩦⩻⨪(↹⩛41535∽↹⩛41003))⋓(⨡↴↹⩛51053→⨶⪴↹⩛25244)⫌⩉⩟(↹⩛45143≁↹⩛43342⫽⇹≛)⪄(⇖⫷⫕↹⩛100100)+⪬∐(⩒∊↹⩛14055)","cot":[{"info":"↹⩛41535∽↹⩛41003=↹⩛-535530","layer":3},{"info":"⩦⩻⨪↹⩛-535530=↹⩛-535530","layer":2},{"info":"↹⩛51053→⨶⪴↹⩛25244=↹⩛-124220","layer":3},{"info":"⨡↴↹⩛-124220=↹⩛-131","layer":2},{"info":"↹⩛-535530⋓↹⩛-131=↹⩛0","layer":1},{"info":"↹⩛45143≁↹⩛43342=↹⩛2441435","layer":3},{"info":"↹⩛2441435⫽⇹≛=↹⩛1132","layer":2},{"info":"⇖⫷⫕↹⩛100100=↹⩛21022","layer":3},{"info":"⩒∊↹⩛14055=↹⩛24453","layer":3},{"info":"↹⩛21022+⪬∐↹⩛24453=↹⩛-103110","layer":2},{"info":"↹⩛1132⪄↹⩛-103110=↹⩛-15253","layer":1},{"info":"↹⩛0⫌⩉⩟↹⩛-15253=↹⩛-122","layer":0}]} +{"id":148,"expression_no_base_symbol":"(($1067$*$1205$)∌↝($1132$∷$1091$)↡⊰⫅(⊗$1064$)⪕($6969$⊭↱$1186$))⊢(($5739$⨳⩥⨓$4137$)⪮%⊝($3738$⪍↜⋙$1707$)↺($6109$≴⪞⇿$6755$∙⊟$3144$≌$8091$))","expression":"((↹⩛4535*↹⩛5325)∌↝(↹⩛5124∷↹⩛5015)↡⊰⫅(⊗↹⩛4532)⪕(↹⩛52133⊭↱↹⩛5254))⊢((↹⩛42323⨳⩥⨓↹⩛31053)⪮%⊝(↹⩛25150⪍↜⋙↹⩛11523)↺(↹⩛44141≴⪞⇿↹⩛51135∙⊟↹⩛22320≌↹⩛101243))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28450,"operation_count":15,"complexity_ratio":1896.6666666666667,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1067,"base":6},"right_expr":{"type":"numeric_atoms","value":1205,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1132,"base":6},"right_expr":{"type":"numeric_atoms","value":1091,"base":6}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1064,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6969,"base":6},"right_expr":{"type":"numeric_atoms","value":1186,"base":6}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5739,"base":6},"right_expr":{"type":"numeric_atoms","value":4137,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3738,"base":6},"right_expr":{"type":"numeric_atoms","value":1707,"base":6}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6109,"base":6},"right_expr":{"type":"numeric_atoms","value":6755,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3144,"base":6},"right_expr":{"type":"numeric_atoms","value":8091,"base":6}}}}},"used_operators":["5twsqlHp2o","VCtxkLNOzz","9Isq31Ruls","9HNa5Wba9A","D3AQDKkPcf","umQnsF7QlU","RhiyfpczSx","COABgblf1C","7j4O788W3g","IWmyXbctLI","nCS4ZIUYfx","L05ObWFQCd","SxTAKzQCrw","lvlrscuwVU","lyWz822IDG"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"↹⩛-30240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1205, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1285735","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1091, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1091","layer":3},{"info":"compute binary expreesion, left_input=1285735, right_input=1091, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2128","layer":3},{"info":"number node, value=6969","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=6969, right_input=1186, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11561","layer":3},{"info":"compute binary expreesion, left_input=-2128, right_input=-11561, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=935, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=1870","layer":1},{"info":"number node, value=5739","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=5739, right_input=4137, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1602","layer":3},{"info":"number node, value=3738","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=3738, right_input=1707, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4062","layer":3},{"info":"compute binary expreesion, left_input=-1602, right_input=4062, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-2888","layer":2},{"info":"number node, value=6109","layer":4},{"info":"number node, value=6755","layer":4},{"info":"compute binary expreesion, left_input=6109, right_input=6755, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=68118026","layer":3},{"info":"number node, value=3144","layer":4},{"info":"number node, value=8091","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=8091, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=68118026, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=885544184","layer":2},{"info":"compute binary expreesion, left_input=-2888, right_input=885544184, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=885544184","layer":1},{"info":"compute binary expreesion, left_input=1870, right_input=885544184, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3984","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4535*↹⩛5325)∌↝(↹⩛5124∷↹⩛5015)↡⊰⫅(⊗↹⩛4532)⪕(↹⩛52133⊭↱↹⩛5254))⊢((↹⩛42323⨳⩥⨓↹⩛31053)⪮%⊝(↹⩛25150⪍↜⋙↹⩛11523)↺(↹⩛44141≴⪞⇿↹⩛51135∙⊟↹⩛22320≌↹⩛101243))=↹⩛-30240","reverse_text":"↹⩛-30240=((↹⩛4535*↹⩛5325)∌↝(↹⩛5124∷↹⩛5015)↡⊰⫅(⊗↹⩛4532)⪕(↹⩛52133⊭↱↹⩛5254))⊢((↹⩛42323⨳⩥⨓↹⩛31053)⪮%⊝(↹⩛25150⪍↜⋙↹⩛11523)↺(↹⩛44141≴⪞⇿↹⩛51135∙⊟↹⩛22320≌↹⩛101243))","cot":[{"info":"↹⩛4535*↹⩛5325=↹⩛43320251","layer":3},{"info":"↹⩛5124∷↹⩛5015=↹⩛5015","layer":3},{"info":"↹⩛43320251∌↝↹⩛5015=↹⩛0","layer":2},{"info":"⊗↹⩛4532=↹⩛-13504","layer":3},{"info":"↹⩛52133⊭↱↹⩛5254=↹⩛-125305","layer":3},{"info":"↹⩛-13504⪕↹⩛-125305=↹⩛4155","layer":2},{"info":"↹⩛0↡⊰⫅↹⩛4155=↹⩛12354","layer":1},{"info":"↹⩛42323⨳⩥⨓↹⩛31053=↹⩛-11230","layer":3},{"info":"↹⩛25150⪍↜⋙↹⩛11523=↹⩛30450","layer":3},{"info":"↹⩛-11230⪮%⊝↹⩛30450=↹⩛-21212","layer":2},{"info":"↹⩛44141≴⪞⇿↹⩛51135=↹⩛10432001122","layer":3},{"info":"↹⩛22320≌↹⩛101243=NaN","layer":3},{"info":"↹⩛10432001122∙⊟NaN=↹⩛223512141332","layer":2},{"info":"↹⩛-21212↺↹⩛223512141332=↹⩛223512141332","layer":1},{"info":"↹⩛12354⊢↹⩛223512141332=↹⩛-30240","layer":0}]} +{"id":149,"expression_no_base_symbol":"⨣⨃⇪(($3396$⪹)⪉⨛$1465$⨓$4356$↱(($1224$⪓⨏)⩟))","expression":"⨣⨃⇪((↹⩛23420⪹)⪉⨛↹⩛10441⨓↹⩛32100↱((↹⩛5400⪓⨏)⩟))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5867,"operation_count":7,"complexity_ratio":838.1428571428571,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3396,"base":6}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1465,"base":6},"right_expr":{"type":"numeric_atoms","value":4356,"base":6}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1224,"base":6}}}}},"used_operators":["AcOhelriW5","SR5kFfdi6N","EWw2JM7wp4","B3sABdIn96","3ViojmjbAp","fOIeswaMU4","4X9JU4Jbn6"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"↹⩛10301","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3396","layer":4},{"info":"compute unary expreesion, input=3396, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=11284","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=4356, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4359","layer":3},{"info":"compute binary expreesion, left_input=11284, right_input=-4359, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=38426","layer":2},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=38426, 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":1},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":6,"result_base":6,"text":"⨣⨃⇪((↹⩛23420⪹)⪉⨛↹⩛10441⨓↹⩛32100↱((↹⩛5400⪓⨏)⩟))=↹⩛10301","reverse_text":"↹⩛10301=⨣⨃⇪((↹⩛23420⪹)⪉⨛↹⩛10441⨓↹⩛32100↱((↹⩛5400⪓⨏)⩟))","cot":[{"info":"↹⩛23420⪹=↹⩛124124","layer":3},{"info":"↹⩛10441⨓↹⩛32100=↹⩛-32103","layer":3},{"info":"↹⩛124124⪉⨛↹⩛-32103=↹⩛453522","layer":2},{"info":"↹⩛5400⪓⨏=NaN","layer":3},{"info":"NaN⩟=NaN","layer":2},{"info":"↹⩛453522↱NaN=NaN","layer":1},{"info":"⨣⨃⇪NaN=↹⩛10301","layer":0}]} +{"id":150,"expression_no_base_symbol":"⩦⩻⨪((↥≼⋛$1447$)∇⊂⋱($1142$⫰⋱$1398$))⪃⊛⇣(∨∊⋏($1168$⪨≂$3126$))","expression":"⩦⩻⨪((↥≼⋛↹⩛10411)∇⊂⋱(↹⩛5142⫰⋱↹⩛10250))⪃⊛⇣(∨∊⋏(↹⩛5224⪨≂↹⩛22250))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":692,"operation_count":7,"complexity_ratio":98.85714285714286,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1447,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1142,"base":6},"right_expr":{"type":"numeric_atoms","value":1398,"base":6}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1168,"base":6},"right_expr":{"type":"numeric_atoms","value":3126,"base":6}}}}},"used_operators":["2td37pGCOC","rrgAzCduG9","nhYeJWJD5X","x5lMkHmzsq","6o9Blt3TJ6","R5aXW34M0v","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1398, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1109","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-1109, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2218","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=3126, 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=-3814","layer":3},{"info":"compute unary expreesion, input=-3814, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-117281","layer":2},{"info":"compute binary expreesion, left_input=2218, right_input=-117281, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"⩦⩻⨪((↥≼⋛↹⩛10411)∇⊂⋱(↹⩛5142⫰⋱↹⩛10250))⪃⊛⇣(∨∊⋏(↹⩛5224⪨≂↹⩛22250))=↹⩛5414","reverse_text":"↹⩛5414=⩦⩻⨪((↥≼⋛↹⩛10411)∇⊂⋱(↹⩛5142⫰⋱↹⩛10250))⪃⊛⇣(∨∊⋏(↹⩛5224⪨≂↹⩛22250))","cot":[{"info":"↥≼⋛↹⩛10411=↹⩛-305","layer":3},{"info":"↹⩛5142⫰⋱↹⩛10250=↹⩛-5045","layer":3},{"info":"↹⩛-305∇⊂⋱↹⩛-5045=↹⩛14134","layer":2},{"info":"↹⩛5224⪨≂↹⩛22250=↹⩛-25354","layer":3},{"info":"∨∊⋏↹⩛-25354=↹⩛-2302545","layer":2},{"info":"↹⩛14134⪃⊛⇣↹⩛-2302545=↹⩛5414","layer":1},{"info":"⩦⩻��↹⩛5414=↹⩛5414","layer":0}]} +{"id":151,"expression_no_base_symbol":"((($3342$⇮⋭$2097$)∝$4813$⨽∌$6909$)⋹)%(⪲⇎(⨮↦↱($5058$⪍↜⋙$4356$)))","expression":"(((↹⩛23250⇮⋭↹⩛13413)∝↹⩛34141⨽∌↹⩛51553)⋹)%(⪲⇎(⨮↦↱(↹⩛35230⪍↜⋙↹⩛32100)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1158,"operation_count":8,"complexity_ratio":144.75,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3342,"base":6},"right_expr":{"type":"numeric_atoms","value":2097,"base":6}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4813,"base":6},"right_expr":{"type":"numeric_atoms","value":6909,"base":6}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5058,"base":6},"right_expr":{"type":"numeric_atoms","value":4356,"base":6}}}}},"used_operators":["k8jYdgA6NY","opAxDRczMr","cTDWOvIxvz","vkpjKywKVM","9samAPKr6k","XPYlsWDdGa","sYcpBQ0cFf","L05ObWFQCd"],"dependent_operators":["rysDP5nf3Z","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛-32","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3342","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=2097, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4813","layer":4},{"info":"number node, value=6909","layer":4},{"info":"compute binary expreesion, left_input=4813, right_input=6909, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-468","layer":2},{"info":"compute unary expreesion, input=-468, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"number node, value=5058","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=5058, right_input=4356, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1404","layer":3},{"info":"compute unary expreesion, input=1404, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2480706","layer":2},{"info":"compute unary expreesion, input=-2480706, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4961412","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=-4961412, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-20","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛23250⇮⋭↹⩛13413)∝↹⩛34141⨽∌↹⩛51553)⋹)%(⪲⇎(⨮↦↱(↹⩛35230⪍↜⋙↹⩛32100)))=↹⩛-32","reverse_text":"↹⩛-32=(((↹⩛23250⇮⋭↹⩛13413)∝↹⩛34141⨽∌↹⩛51553)⋹)%(⪲⇎(⨮↦↱(↹⩛35230⪍↜⋙↹⩛32100)))","cot":[{"info":"↹⩛23250⇮⋭↹⩛13413=↹⩛-2105","layer":3},{"info":"↹⩛34141⨽∌↹⩛51553=↹⩛0","layer":3},{"info":"↹⩛-2105∝↹⩛0=↹⩛-2100","layer":2},{"info":"↹⩛-2100⋹=↹⩛-32","layer":1},{"info":"↹⩛35230⪍↜⋙↹⩛32100=↹⩛10300","layer":3},{"info":"⨮↦↱↹⩛10300=↹⩛-125100430","layer":2},{"info":"⪲⇎↹⩛-125100430=↹⩛-254201300","layer":1},{"info":"↹⩛-32%↹⩛-254201300=↹⩛-32","layer":0}]} +{"id":152,"expression_no_base_symbol":"(($1855$⋝⋈⪟$2388$⊾⪯⋞$2219$⫢⨠$3145$)⊟⇱)⩘(($4791$⩵∡$1202$)⊹∫⫚$2090$⪟⇏$1114$⋭≵((-$7218$)∙∹∝$5701$⨟⋌⩍$2949$))","expression":"((↹⩛12331⋝⋈⪟↹⩛15020⊾⪯⋞↹⩛14135⫢⨠↹⩛22321)⊟⇱)⩘((↹⩛34103⩵∡↹⩛5322)⊹∫⫚↹⩛13402⪟⇏↹⩛5054⋭≵((-↹⩛53230)∙∹∝↹⩛42221⨟⋌⩍↹⩛21353))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4264,"operation_count":12,"complexity_ratio":355.3333333333333,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1855,"base":6},"right_expr":{"type":"numeric_atoms","value":2388,"base":6}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2219,"base":6},"right_expr":{"type":"numeric_atoms","value":3145,"base":6}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4791,"base":6},"right_expr":{"type":"numeric_atoms","value":1202,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2090,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":7218,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5701,"base":6},"right_expr":{"type":"numeric_atoms","value":2949,"base":6}}}}},"used_operators":["cHh1gJQ2o6","03sUfWo75k","HK0tfVPux8","2DDjHMKMc0","xlXykHWxX1","jBncVCNhdl","uWAJUKEvyW","Y7wcNGrDQJ","GODebY97qR","HmxsFra2vL","t8gj7n24qd","rGHVDoGpnC"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","IWmyXbctLI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=2388, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1855","layer":3},{"info":"number node, value=2219","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=3145, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1855, right_input=160, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute unary expreesion, input=-818, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-1320","layer":1},{"info":"number node, value=4791","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=1202, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-8501","layer":3},{"info":"number node, value=2090","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1114, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-8501, right_input=-1, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-4","layer":2},{"info":"number node, value=7218","layer":4},{"info":"compute unary expreesion, input=7218, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7218","layer":3},{"info":"number node, value=5701","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=5701, right_input=2949, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7218, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4, right_input=0, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=42","layer":1},{"info":"compute binary expreesion, left_input=-1320, right_input=42, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12331⋝⋈⪟↹⩛15020⊾⪯⋞↹⩛14135⫢⨠↹⩛22321)⊟⇱)⩘((↹⩛34103⩵∡↹⩛5322)⊹∫⫚↹⩛13402⪟⇏↹⩛5054⋭≵((-↹⩛53230)∙∹∝↹⩛42221⨟⋌⩍↹⩛21353))=↹⩛424","reverse_text":"↹⩛424=((↹⩛12331⋝⋈⪟↹⩛15020⊾⪯⋞↹⩛14135⫢⨠↹⩛22321)⊟⇱)⩘((↹⩛34103⩵∡↹⩛5322)⊹∫⫚↹⩛13402⪟⇏↹⩛5054⋭≵((-↹⩛53230)∙∹∝↹⩛42221⨟⋌⩍↹⩛21353))","cot":[{"info":"↹⩛12331⋝⋈⪟↹⩛15020=↹⩛12331","layer":3},{"info":"↹⩛14135⫢⨠↹⩛22321=↹⩛424","layer":3},{"info":"↹⩛12331⊾⪯⋞↹⩛424=↹⩛-3442","layer":2},{"info":"↹⩛-3442⊟⇱=↹⩛-10040","layer":1},{"info":"↹⩛34103⩵∡↹⩛5322=↹⩛-103205","layer":3},{"info":"↹⩛13402⪟⇏↹⩛5054=↹⩛-1","layer":3},{"info":"↹⩛-103205⊹∫⫚↹⩛-1=↹⩛-4","layer":2},{"info":"-↹⩛53230=↹⩛-53230","layer":3},{"info":"↹⩛42221⨟⋌⩍↹⩛21353=NaN","layer":3},{"info":"↹⩛-53230∙∹∝NaN=↹⩛0","layer":2},{"info":"↹⩛-4⋭≵↹⩛0=↹⩛110","layer":1},{"info":"↹⩛-10040⩘↹⩛110=↹⩛424","layer":0}]} +{"id":153,"expression_no_base_symbol":"($1168$⪕$6560$⫰⋱$5319$⩚⊴⇥$6716$)⨼⩣(↞≼($2546$∑⇟⊟$1489$))⇴∐((⪓⩚$1936$)⪘⫢($6642$⊨$4573$)⋓(⇈($4353$⨽∌$3025$)))","expression":"(↹⩛5224⪕↹⩛50212⫰⋱↹⩛40343⩚⊴⇥↹⩛51032)⨼⩣(↞≼(↹⩛15442∑⇟⊟↹⩛10521))⇴∐((⪓⩚↹⩛12544)⪘⫢(↹⩛50430⊨↹⩛33101)⋓(⇈(↹⩛32053⨽∌↹⩛22001)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4923,"operation_count":13,"complexity_ratio":378.6923076923077,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1168,"base":6},"right_expr":{"type":"numeric_atoms","value":6560,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5319,"base":6},"right_expr":{"type":"numeric_atoms","value":6716,"base":6}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2546,"base":6},"right_expr":{"type":"numeric_atoms","value":1489,"base":6}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1936,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6642,"base":6},"right_expr":{"type":"numeric_atoms","value":4573,"base":6}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4353,"base":6},"right_expr":{"type":"numeric_atoms","value":3025,"base":6}}}}},"used_operators":["HnzytWxmAO","JxwMv5le6e","6o9Blt3TJ6","umQnsF7QlU","NTOWxs364D","DE7zCoGJt9","U7g4x0WXJJ","T2fj7uvVaJ","oacrs7FA3X","u0R0Locfp2","vg4gO5BX6G","SLLxy00UIr","9samAPKr6k"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"↹⩛33312","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=6560","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=6560, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=5319","layer":4},{"info":"number node, value=6716","layer":4},{"info":"compute binary expreesion, left_input=5319, right_input=6716, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12156","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-12156, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=12278","layer":2},{"info":"number node, value=2546","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=1489, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12278, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=6642","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=6642, right_input=4573, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=27599","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=27599, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=728","layer":2},{"info":"number node, value=4353","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=4353, right_input=3025, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=728, right_input=-447, 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=nan, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5224⪕↹⩛50212⫰⋱↹⩛40343⩚⊴⇥↹⩛51032)⨼⩣(↞≼(↹⩛15442∑⇟⊟↹⩛10521))⇴∐((⪓⩚↹⩛12544)⪘⫢(↹⩛50430⊨↹⩛33101)⋓(⇈(↹⩛32053⨽∌↹⩛22001)))=↹⩛33312","reverse_text":"↹⩛33312=(↹⩛5224⪕↹⩛50212⫰⋱↹⩛40343⩚⊴⇥↹⩛51032)⨼⩣(↞≼(↹⩛15442∑⇟⊟↹⩛10521))⇴∐((⪓⩚↹⩛12544)⪘⫢(↹⩛50430⊨↹⩛33101)⋓(⇈(↹⩛32053⨽∌↹⩛22001)))","cot":[{"info":"↹⩛5224⪕↹⩛50212=↹⩛-131","layer":3},{"info":"↹⩛40343⩚⊴⇥↹⩛51032=↹⩛-132140","layer":3},{"info":"↹⩛-131⫰⋱↹⩛-132140=↹⩛132502","layer":2},{"info":"↹⩛15442∑⇟⊟↹⩛10521=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"↹⩛132502⨼⩣NaN=NaN","layer":1},{"info":"⪓⩚↹⩛12544=↹⩛1550","layer":3},{"info":"↹⩛50430⊨↹⩛33101=↹⩛331435","layer":3},{"info":"↹⩛1550⪘⫢↹⩛331435=↹⩛3212","layer":2},{"info":"↹⩛32053⨽∌↹⩛22001=↹⩛0","layer":3},{"info":"⇈↹⩛0=↹⩛-2023","layer":2},{"info":"↹⩛3212⋓↹⩛-2023=↹⩛0","layer":1},{"info":"NaN⇴∐↹⩛0=↹⩛33312","layer":0}]} +{"id":154,"expression_no_base_symbol":"⫡⇟⇯(≉($3774$∴$2863$⋷$1659$⫸⇳$5426$))","expression":"⫡⇟⇯(≉(↹⩛25250∴↹⩛21131⋷↹⩛11403⫸⇳↹⩛41042))","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31,"operation_count":5,"complexity_ratio":6.2,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3774,"base":6},"right_expr":{"type":"numeric_atoms","value":2863,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1659,"base":6},"right_expr":{"type":"numeric_atoms","value":5426,"base":6}}}}},"used_operators":["qWUSsah53b","e1ybzncUwg","23Mk6UjR3U","hrf7POJlIJ","gx7XJ7hdpj"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛114332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3774","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=2863, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9196","layer":3},{"info":"number node, value=1659","layer":4},{"info":"number node, value=5426","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=5426, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9196, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-9196","layer":2},{"info":"compute unary expreesion, input=-9196, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-9196","layer":1},{"info":"compute unary expreesion, input=-9196, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=10064","layer":0}],"base":6,"result_base":6,"text":"⫡⇟⇯(≉(↹⩛25250∴↹⩛21131⋷↹⩛11403⫸⇳↹⩛41042))=↹⩛114332","reverse_text":"↹⩛114332=⫡⇟⇯(≉(↹⩛25250∴↹⩛21131⋷↹⩛11403⫸⇳↹⩛41042))","cot":[{"info":"↹⩛25250∴↹⩛21131=↹⩛110324","layer":3},{"info":"↹⩛11403⫸⇳↹⩛41042=↹⩛0","layer":3},{"info":"↹⩛110324⋷↹⩛0=↹⩛-110324","layer":2},{"info":"≉↹⩛-110324=↹⩛-110324","layer":1},{"info":"⫡⇟⇯↹⩛-110324=↹⩛114332","layer":0}]} +{"id":155,"expression_no_base_symbol":"(($1375$⪉⨛$1022$)⨝⩣∺)⨼⩣($3691$⪭≯$3206$)⩼⇪↪($1952$⇣⩺⋵$2186$)≭(($2577$⪇≇⋚$1864$)⇌⫙⪟($2238$⇴$4476$)∝(⨈⪑(⇉-⫰$1027$)))","expression":"((↹⩛10211⪉⨛↹⩛4422)⨝⩣∺)⨼⩣(↹⩛25031⪭≯↹⩛22502)⩼⇪↪(↹⩛13012⇣⩺⋵↹⩛14042)≭((↹⩛15533⪇≇⋚↹⩛12344)⇌⫙⪟(↹⩛14210⇴↹⩛32420)∝(⨈⪑(⇉-⫰↹⩛4431)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":766,"operation_count":13,"complexity_ratio":58.92307692307692,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1375,"base":6},"right_expr":{"type":"numeric_atoms","value":1022,"base":6}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3691,"base":6},"right_expr":{"type":"numeric_atoms","value":3206,"base":6}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1952,"base":6},"right_expr":{"type":"numeric_atoms","value":2186,"base":6}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2577,"base":6},"right_expr":{"type":"numeric_atoms","value":1864,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2238,"base":6},"right_expr":{"type":"numeric_atoms","value":4476,"base":6}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1027,"base":6}}}}},"used_operators":["rxpJgHHUmx","JxwMv5le6e","ancx8kZcWl","EWw2JM7wp4","ocnLzx9CaJ","XAx5wpdLa6","F4yD0voBRQ","cTDWOvIxvz","AFVx7xoS7T","3sJ7IOPOlU","4JB6nKBMSY","mp94q5OcYM","IGFM8TAlm9"],"dependent_operators":["AHs5Up7iyr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DZ8iAZOCBD","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1022, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3318","layer":3},{"info":"compute unary expreesion, input=3318, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-6636","layer":2},{"info":"number node, value=3691","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=3691, right_input=3206, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1952","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=2186, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6636, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=2577","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=1864, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2238","layer":4},{"info":"number node, value=4476","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=4476, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21994","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=21994, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=868, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=118, 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":6,"result_base":6,"text":"((↹⩛10211⪉⨛↹⩛4422)⨝⩣∺)⨼⩣(↹⩛25031⪭≯↹⩛22502)⩼⇪↪(↹⩛13012⇣⩺⋵↹⩛14042)≭((↹⩛15533⪇≇⋚↹⩛12344)⇌⫙⪟(↹⩛14210⇴↹⩛32420)∝(⨈⪑(⇉-⫰↹⩛4431)))=NaN","reverse_text":"NaN=((↹⩛10211⪉⨛↹⩛4422)⨝⩣∺)⨼⩣(↹⩛25031⪭≯↹⩛22502)⩼⇪↪(↹⩛13012⇣⩺⋵↹⩛14042)≭((↹⩛15533⪇≇⋚↹⩛12344)⇌⫙⪟(↹⩛14210⇴↹⩛32420)∝(⨈⪑(⇉-⫰↹⩛4431)))","cot":[{"info":"↹⩛10211⪉⨛↹⩛4422=↹⩛23210","layer":3},{"info":"↹⩛23210⨝⩣∺=↹⩛-50420","layer":2},{"info":"↹⩛25031⪭≯↹⩛22502=NaN","layer":3},{"info":"↹⩛13012⇣⩺⋵↹⩛14042=↹⩛-1112","layer":3},{"info":"NaN⩼⇪↪↹⩛-1112=NaN","layer":2},{"info":"↹⩛-50420⨼⩣NaN=NaN","layer":1},{"info":"↹⩛15533⪇≇⋚↹⩛12344=↹⩛0","layer":3},{"info":"↹⩛14210⇴↹⩛32420=↹⩛245454","layer":3},{"info":"↹⩛0⇌⫙⪟↹⩛245454=↹⩛305","layer":2},{"info":"⇉-⫰↹⩛4431=↹⩛32","layer":3},{"info":"⨈⪑↹⩛32=↹⩛4004","layer":2},{"info":"↹⩛305∝↹⩛4004=↹⩛314","layer":1},{"info":"NaN≭↹⩛314=NaN","layer":0}]} +{"id":156,"expression_no_base_symbol":"(≋(⇐$1601$)⩣⫁∢($2974$⨽$1811$))⩧⪆((($4184$⩉⊫⨁)⪐)⫌⩉⩟(⇵⪽($4096$⊅)))","expression":"(≋(⇐↹⩛11225)⩣⫁∢(↹⩛21434⨽↹⩛12215))⩧⪆(((↹⩛31212⩉⊫⨁)⪐)⫌⩉⩟(⇵⪽(↹⩛30544⊅)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33950,"operation_count":10,"complexity_ratio":3395.0,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1601,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2974,"base":6},"right_expr":{"type":"numeric_atoms","value":1811,"base":6}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":4184,"base":6}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":4096,"base":6}}}}},"used_operators":["Ikt5ks8PT7","61wBmkZwlr","JDUIKTTSIa","nmZMaaE0Q9","8HhzD0ZcuI","XIIwhv8d0m","eH2TOUuTDT","7qqUquhhSb","ZGCBLdVRRX","7p6YLioM7f"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","7j4O788W3g","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","U7g4x0WXJJ","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"↹⩛122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":4},{"info":"compute unary expreesion, input=1601, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=1368","layer":3},{"info":"number node, value=2974","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=1811, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26538147","layer":3},{"info":"compute binary expreesion, left_input=1368, right_input=-26538147, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2575","layer":2},{"info":"compute unary expreesion, input=-2575, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-2575","layer":1},{"info":"number node, value=4184","layer":4},{"info":"compute unary expreesion, input=4184, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=4184","layer":3},{"info":"compute unary expreesion, input=4184, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8368","layer":2},{"info":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8368, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=-2575, right_input=-50, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=50","layer":0}],"base":6,"result_base":6,"text":"(≋(⇐↹⩛11225)⩣⫁∢(↹⩛21434⨽↹⩛12215))⩧⪆(((↹⩛31212⩉⊫⨁)⪐)⫌⩉⩟(⇵⪽(↹⩛30544⊅)))=↹⩛122","reverse_text":"↹⩛122=(≋(⇐↹⩛11225)⩣⫁∢(↹⩛21434⨽↹⩛12215))⩧⪆(((↹⩛31212⩉⊫⨁)⪐)⫌⩉⩟(⇵⪽(↹⩛30544⊅)))","cot":[{"info":"⇐↹⩛11225=↹⩛10200","layer":3},{"info":"↹⩛21434⨽↹⩛12215=↹⩛-2344445443","layer":3},{"info":"↹⩛10200⩣⫁∢↹⩛-2344445443=↹⩛-15531","layer":2},{"info":"≋↹⩛-15531=↹⩛-15531","layer":1},{"info":"↹⩛31212⩉⊫⨁=↹⩛31212","layer":3},{"info":"↹⩛31212⪐=↹⩛102424","layer":2},{"info":"↹⩛30544⊅=↹⩛-450","layer":3},{"info":"⇵⪽↹⩛-450=NaN","layer":2},{"info":"↹⩛102424⫌⩉⩟NaN=↹⩛-122","layer":1},{"info":"↹⩛-15531⩧⪆↹⩛-122=↹⩛122","layer":0}]} +{"id":157,"expression_no_base_symbol":"((⨣⨃⇪(≪$1630$))↸(∡$4319$)⪃⊛⇣($1236$⨎⋸⪻))∛(($4235$≠≀$2691$)∇⊂⋱($5480$⋅⇍$5280$)+($8014$⩍⋽⫝̸$4876$)↳≱($3871$≬⋮$1122$))","expression":"((⨣⨃⇪(≪↹⩛11314))↸(∡↹⩛31555)⪃⊛⇣(↹⩛5420⨎⋸⪻))∛((↹⩛31335≠≀↹⩛20243)∇⊂⋱(↹⩛41212⋅⇍↹⩛40240)+(↹⩛101034⩍⋽⫝̸↹⩛34324)↳≱(↹⩛25531≬⋮↹⩛5110))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2055,"operation_count":14,"complexity_ratio":146.78571428571428,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1630,"base":6}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":4319,"base":6}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1236,"base":6}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4235,"base":6},"right_expr":{"type":"numeric_atoms","value":2691,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5480,"base":6},"right_expr":{"type":"numeric_atoms","value":5280,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":8014,"base":6},"right_expr":{"type":"numeric_atoms","value":4876,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3871,"base":6},"right_expr":{"type":"numeric_atoms","value":1122,"base":6}}}}},"used_operators":["w2537kitQq","1eCjFl0mb9","AcOhelriW5","Qtd6bqUJcN","rrgAzCduG9","pRsWfj4Fpp","Dk5vyLCiGd","W4YGzv6Whe","nhYeJWJD5X","IwW236VD4Y","AdZkA7nFnk","JwTKLfZU96","BiWNJpBvwn","kbkesczE7y"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Ph9nP6C5qx","xUOZtlo3hN","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=4319","layer":4},{"info":"compute unary expreesion, input=4319, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-4319","layer":3},{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2788","layer":3},{"info":"compute binary expreesion, left_input=-4319, right_input=2788, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=1234, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1405","layer":1},{"info":"number node, value=4235","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=4235, right_input=2691, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8164","layer":3},{"info":"number node, value=5480","layer":4},{"info":"number node, value=5280","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=5280, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-8164, right_input=-22, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=44","layer":2},{"info":"number node, value=8014","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=8014, right_input=4876, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3930","layer":3},{"info":"number node, value=3871","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=1122, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=3930, right_input=868, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=44, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=44","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=44, 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":6,"result_base":6,"text":"((⨣⨃⇪(≪↹⩛11314))↸(∡↹⩛31555)⪃⊛⇣(↹⩛5420⨎⋸⪻))∛((↹⩛31335≠≀↹⩛20243)∇⊂⋱(↹⩛41212⋅⇍↹⩛40240)+(↹⩛101034⩍⋽⫝̸↹⩛34324)↳≱(↹⩛25531≬⋮↹⩛5110))=↹⩛151","reverse_text":"↹⩛151=((⨣⨃⇪(≪↹⩛11314))↸(∡↹⩛31555)⪃⊛⇣(↹⩛5420⨎⋸⪻))∛((↹⩛31335≠≀↹⩛20243)∇⊂⋱(↹⩛41212⋅⇍↹⩛40240)+(↹⩛101034⩍⋽⫝̸↹⩛34324)↳≱(↹⩛25531≬⋮↹⩛5110))","cot":[{"info":"≪↹⩛11314=↹⩛4121","layer":3},{"info":"⨣⨃⇪↹⩛4121=↹⩛10301","layer":2},{"info":"∡↹⩛31555=↹⩛-31555","layer":3},{"info":"↹⩛5420⨎⋸⪻=↹⩛20524","layer":3},{"info":"↹⩛-31555⪃⊛⇣↹⩛20524=↹⩛5414","layer":2},{"info":"↹⩛10301↸↹⩛5414=↹⩛10301","layer":1},{"info":"↹⩛31335≠≀↹⩛20243=↹⩛-101444","layer":3},{"info":"↹⩛41212⋅⇍↹⩛40240=↹⩛-34","layer":3},{"info":"↹⩛-101444∇⊂⋱↹⩛-34=↹⩛112","layer":2},{"info":"↹⩛101034⩍⋽⫝̸↹⩛34324=↹⩛30110","layer":3},{"info":"↹⩛25531≬⋮↹⩛5110=↹⩛4004","layer":3},{"info":"↹⩛30110↳≱↹⩛4004=↹⩛0","layer":2},{"info":"↹⩛112+↹⩛0=↹⩛112","layer":1},{"info":"↹⩛10301∛↹⩛112=↹⩛151","layer":0}]} +{"id":158,"expression_no_base_symbol":"⊊≼∋(↔($1233$+⇶⊼$2580$))⋹⋡⊁(⋎⨆$1298$∌$2799$)","expression":"⊊≼∋(↔(↹⩛5413+⇶⊼↹⩛15540))⋹⋡⊁(⋎⨆↹⩛10002∌↹⩛20543)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8384329,"operation_count":6,"complexity_ratio":1397388.1666666667,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1233,"base":6},"right_expr":{"type":"numeric_atoms","value":2580,"base":6}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1298,"base":6},"right_expr":{"type":"numeric_atoms","value":2799,"base":6}}}}},"used_operators":["FWz7pXsQhA","As8RqfVLgs","ruOEQAzv1W","TpPTUOHfaN","E64sFOc4tB","8cLx32lpNA"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=2580, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1298","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=2799, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2799","layer":3},{"info":"compute unary expreesion, input=-2799, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=8320752, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8321502","layer":1},{"info":"compute unary expreesion, input=8321502, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":0}],"base":6,"result_base":6,"text":"⊊≼∋(↔(↹⩛5413+⇶⊼↹⩛15540))⋹⋡⊁(⋎⨆↹⩛10002∌↹⩛20543)=↹⩛-2023","reverse_text":"↹⩛-2023=⊊≼∋(↔(↹⩛5413+⇶⊼↹⩛15540))⋹⋡⊁(⋎⨆↹⩛10002∌↹⩛20543)","cot":[{"info":"↹⩛5413+⇶⊼↹⩛15540=NaN","layer":3},{"info":"↔NaN=↹⩛-342","layer":2},{"info":"↹⩛10002∌↹⩛20543=↹⩛-20543","layer":3},{"info":"⋎⨆↹⩛-20543=↹⩛454202000","layer":2},{"info":"↹⩛-342⋹⋡⊁↹⩛454202000=↹⩛454205250","layer":1},{"info":"⊊≼∋↹⩛454205250=↹⩛-2023","layer":0}]} +{"id":159,"expression_no_base_symbol":"⩦⊞((⫓⪴$3070$)⋳⪒$1734$⋹⋡⊁$2824$⨳⩥⨓$4066$∑⇟⊟$1464$∝$3432$⨻⩈⩔$3854$)","expression":"⩦⊞((⫓⪴↹⩛22114)⋳⪒↹⩛12010⋹⋡⊁↹⩛21024⨳⩥⨓↹⩛30454∑⇟⊟↹⩛10440∝↹⩛23520⨻⩈⩔↹⩛25502)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65742,"operation_count":8,"complexity_ratio":8217.75,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3070,"base":6}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1734,"base":6},"right_expr":{"type":"numeric_atoms","value":2824,"base":6}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4066,"base":6},"right_expr":{"type":"numeric_atoms","value":1464,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3432,"base":6},"right_expr":{"type":"numeric_atoms","value":3854,"base":6}}}}},"used_operators":["u7fv1HBiaC","nCS4ZIUYfx","12rbrZMWeM","eLxqMNBOBk","As8RqfVLgs","cTDWOvIxvz","U7g4x0WXJJ","nEsXyWgiOK"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","7j4O788W3g","W4YGzv6Whe","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3070","layer":4},{"info":"compute unary expreesion, input=3070, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9424900","layer":3},{"info":"number node, value=1734","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=2824, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3574","layer":3},{"info":"compute binary expreesion, left_input=9424900, right_input=3574, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=18845939","layer":2},{"info":"number node, value=4066","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=1464, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3432","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=3854, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=19055","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19055, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=18845939, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩦⊞((⫓⪴↹⩛22114)⋳⪒↹⩛12010⋹⋡⊁↹⩛21024⨳⩥⨓↹⩛30454∑⇟⊟↹⩛10440∝↹⩛23520⨻⩈⩔↹⩛25502)=NaN","reverse_text":"NaN=⩦⊞((⫓⪴↹⩛22114)⋳⪒↹⩛12010⋹⋡⊁↹⩛21024⨳⩥⨓↹⩛30454∑⇟⊟↹⩛10440∝↹⩛23520⨻⩈⩔↹⩛25502)","cot":[{"info":"⫓⪴↹⩛22114=↹⩛534001444","layer":3},{"info":"↹⩛12010⋹⋡⊁↹⩛21024=↹⩛24314","layer":3},{"info":"↹⩛534001444⋳⪒↹⩛24314=↹⩛1511533415","layer":2},{"info":"↹⩛30454∑⇟⊟↹⩛10440=NaN","layer":3},{"info":"↹⩛23520⨻⩈⩔↹⩛25502=↹⩛224115","layer":3},{"info":"NaN∝↹⩛224115=NaN","layer":2},{"info":"↹⩛1511533415⨳⩥⨓NaN=NaN","layer":1},{"info":"⩦⊞NaN=NaN","layer":0}]} +{"id":160,"expression_no_base_symbol":"↥≼⋛((($2786$≚⊃≕$1314$)⨝⩣∺)⊍⩺⋍(⊖∈$8644$)⪮%⊝($1288$↙$1052$))","expression":"↥≼⋛(((↹⩛20522≚⊃≕↹⩛10030)⨝⩣∺)⊍⩺⋍(⊖∈↹⩛104004)⪮%⊝(↹⩛5544↙↹⩛4512))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1360,"operation_count":7,"complexity_ratio":194.28571428571428,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2786,"base":6},"right_expr":{"type":"numeric_atoms","value":1314,"base":6}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":8644,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1288,"base":6},"right_expr":{"type":"numeric_atoms","value":1052,"base":6}}}}},"used_operators":["x5lMkHmzsq","OXDGMFPWZM","ancx8kZcWl","Bmrmz2XGnR","IWmyXbctLI","YFxL8Sc2Zy","yyfyN0ffXY"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DZ8iAZOCBD","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛-305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2786","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=1314, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-134","layer":2},{"info":"number node, value=8644","layer":4},{"info":"compute unary expreesion, input=8644, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=167286","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=1052, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3156","layer":3},{"info":"compute binary expreesion, left_input=167286, right_input=-3156, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=334888","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=334888, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":6,"result_base":6,"text":"↥≼⋛(((↹⩛20522≚⊃≕↹⩛10030)⨝⩣∺)⊍⩺⋍(⊖∈↹⩛104004)⪮%⊝(↹⩛5544↙↹⩛4512))=↹⩛-305","reverse_text":"↹⩛-305=↥≼⋛(((↹⩛20522≚⊃≕↹⩛10030)⨝⩣∺)⊍⩺⋍(⊖∈↹⩛104004)⪮%⊝(↹⩛5544↙↹⩛4512))","cot":[{"info":"↹⩛20522≚⊃≕↹⩛10030=↹⩛151","layer":3},{"info":"↹⩛151⨝⩣∺=↹⩛-342","layer":2},{"info":"⊖∈↹⩛104004=↹⩛3330250","layer":3},{"info":"↹⩛5544↙↹⩛4512=↹⩛-22340","layer":3},{"info":"↹⩛3330250⪮%⊝↹⩛-22340=↹⩛11102224","layer":2},{"info":"↹⩛-342⊍⩺⋍↹⩛11102224=NaN","layer":1},{"info":"↥≼⋛NaN=↹⩛-305","layer":0}]} +{"id":161,"expression_no_base_symbol":"(⪛⨧($1753$↹⊜$1503$⩧⪆(⩩$1574$)))⪪(⨦⪝(⋗⩴⪓($3230$∑⇟⊟$4939$)))","expression":"(⪛⨧(↹⩛12041↹⊜↹⩛10543⩧⪆(⩩↹⩛11142)))⪪(⨦⪝(⋗⩴⪓(↹⩛22542∑⇟⊟↹⩛34511)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2684,"operation_count":8,"complexity_ratio":335.5,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1753,"base":6},"right_expr":{"type":"numeric_atoms","value":1503,"base":6}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1574,"base":6}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3230,"base":6},"right_expr":{"type":"numeric_atoms","value":4939,"base":6}}}}},"used_operators":["xD69zh8xqp","6NJAcO2OWT","Ikt5ks8PT7","9bazX3JMtO","kMhfGuqI2H","SUjycxNXIR","nOKPl9n5zu","U7g4x0WXJJ"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1753","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1503, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2602","layer":3},{"info":"number node, value=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2602, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":1},{"info":"number node, value=3230","layer":4},{"info":"number node, value=4939","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=4939, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1884, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪛⨧(↹⩛12041↹⊜↹⩛10543⩧⪆(⩩↹⩛11142)))⪪(⨦⪝(⋗⩴⪓(↹⩛22542∑⇟⊟↹⩛34511)))=NaN","reverse_text":"NaN=(⪛⨧(↹⩛12041↹⊜↹⩛10543⩧⪆(⩩↹⩛11142)))⪪(⨦⪝(⋗⩴⪓(↹⩛22542∑⇟⊟↹⩛34511)))","cot":[{"info":"↹⩛12041↹⊜↹⩛10543=↹⩛-20014","layer":3},{"info":"⩩↹⩛11142=NaN","layer":3},{"info":"↹⩛-20014⩧⪆NaN=NaN","layer":2},{"info":"⪛⨧NaN=NaN","layer":1},{"info":"↹⩛22542∑⇟⊟↹⩛34511=NaN","layer":3},{"info":"⋗⩴⪓NaN=NaN","layer":2},{"info":"⨦⪝NaN=↹⩛-12420","layer":1},{"info":"NaN⪪↹⩛-12420=NaN","layer":0}]} +{"id":162,"expression_no_base_symbol":"⊖(($1695$⨳⩥⨓$6549$)⫒⫫($7969$⪒$1805$))↹⊜(⪫⨮⊛($2981$⩌⋺$2363$))","expression":"⊖((↹⩛11503⨳⩥⨓↹⩛50153)⫒⫫(↹⩛100521⪒↹⩛12205))↹⊜(⪫⨮⊛(↹⩛21445⩌⋺↹⩛14535))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":113663,"operation_count":7,"complexity_ratio":16237.57142857143,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1695,"base":6},"right_expr":{"type":"numeric_atoms","value":6549,"base":6}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7969,"base":6},"right_expr":{"type":"numeric_atoms","value":1805,"base":6}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2981,"base":6},"right_expr":{"type":"numeric_atoms","value":2363,"base":6}}}}},"used_operators":["U6pG0PXrV3","9bazX3JMtO","6Ko8hGgeMq","nCS4ZIUYfx","f6k1SAg4EE","w5FWba1tyO","g7Hmc5v1ko"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"number node, value=6549","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=6549, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4854","layer":3},{"info":"number node, value=7969","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=7969, right_input=1805, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9774","layer":3},{"info":"compute binary expreesion, left_input=4854, right_input=-9774, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=2981","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=2363, 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=-5465","layer":3},{"info":"compute unary expreesion, input=-5465, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊖((↹⩛11503⨳⩥⨓↹⩛50153)⫒⫫(↹⩛100521⪒↹⩛12205))↹⊜(⪫⨮⊛(↹⩛21445⩌⋺↹⩛14535))=NaN","reverse_text":"NaN=⊖((↹⩛11503⨳⩥⨓↹⩛50153)⫒⫫(↹⩛100521⪒↹⩛12205))↹⊜(⪫⨮⊛(↹⩛21445⩌⋺↹⩛14535))","cot":[{"info":"↹⩛11503⨳⩥⨓↹⩛50153=↹⩛34250","layer":3},{"info":"↹⩛100521⪒↹⩛12205=↹⩛-113130","layer":3},{"info":"↹⩛34250⫒⫫↹⩛-113130=NaN","layer":2},{"info":"↹⩛21445⩌⋺↹⩛14535=↹⩛-41145","layer":3},{"info":"⪫⨮⊛↹⩛-41145=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"⊖NaN=NaN","layer":0}]} +{"id":163,"expression_no_base_symbol":"(⇉-⫰($2499$⊜)⪒⊣⊆($3951$⊍⩺⋍$7120$))⩘($1692$≌$7289$∼(⇋↷$2219$)∪⫐($1224$⩧⪆$5856$)≠≀$6373$⋥⋵⩄$7077$)","expression":"(⇉-⫰(↹⩛15323⊜)⪒⊣⊆(↹⩛30143⊍⩺⋍↹⩛52544))⩘(↹⩛11500≌↹⩛53425∼(⇋↷↹⩛14135)∪⫐(↹⩛5400⩧⪆↹⩛43040)≠≀↹⩛45301⋥⋵⩄↹⩛52433)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7772,"operation_count":12,"complexity_ratio":647.6666666666666,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2499,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3951,"base":6},"right_expr":{"type":"numeric_atoms","value":7120,"base":6}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1692,"base":6},"right_expr":{"type":"numeric_atoms","value":7289,"base":6}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2219,"base":6}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1224,"base":6},"right_expr":{"type":"numeric_atoms","value":5856,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":6373,"base":6},"right_expr":{"type":"numeric_atoms","value":7077,"base":6}}}}},"used_operators":["cHh1gJQ2o6","IGFM8TAlm9","eRqsBgTDFp","Eev2Q7dYIw","OXDGMFPWZM","7YooWSwCyH","DyGG3AbaNP","lyWz822IDG","SWo3A1KBJH","IwW236VD4Y","Ikt5ks8PT7","7t3wd0Fuz7"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rJVOvQCfKK","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eewbuw0ToL","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-8260","layer":3},{"info":"number node, value=3951","layer":4},{"info":"number node, value=7120","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=7120, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8260, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":1},{"info":"number node, value=1692","layer":4},{"info":"number node, value=7289","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=7289, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=17752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17752, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=5856","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=5856, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5856","layer":3},{"info":"number node, value=6373","layer":4},{"info":"number node, value=7077","layer":4},{"info":"compute binary expreesion, left_input=6373, right_input=7077, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-5856, right_input=113, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=5622","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5622, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⇉-⫰(↹⩛15323⊜)⪒⊣⊆(↹⩛30143⊍⩺⋍↹⩛52544))⩘(↹⩛11500≌↹⩛53425∼(⇋↷↹⩛14135)∪⫐(↹⩛5400⩧⪆↹⩛43040)≠≀↹⩛45301⋥⋵⩄↹⩛52433)=↹⩛424","reverse_text":"↹⩛424=(⇉-⫰(↹⩛15323⊜)⪒⊣⊆(↹⩛30143⊍⩺⋍↹⩛52544))⩘(↹⩛11500≌↹⩛53425∼(⇋↷↹⩛14135)∪⫐(↹⩛5400⩧⪆↹⩛43040)≠≀↹⩛45301⋥⋵⩄↹⩛52433)","cot":[{"info":"↹⩛15323⊜=↹⩛-102124","layer":3},{"info":"↹⩛30143⊍⩺⋍↹⩛52544=NaN","layer":3},{"info":"↹⩛-102124⪒⊣⊆NaN=NaN","layer":2},{"info":"⇉-⫰NaN=NaN","layer":1},{"info":"↹⩛11500≌↹⩛53425=NaN","layer":3},{"info":"⇋↷↹⩛14135=↹⩛214104","layer":3},{"info":"NaN∼↹⩛214104=NaN","layer":2},{"info":"↹⩛5400⩧⪆↹⩛43040=↹⩛-43040","layer":3},{"info":"↹⩛45301⋥⋵⩄↹⩛52433=↹⩛305","layer":3},{"info":"↹⩛-43040≠≀↹⩛305=↹⩛42010","layer":2},{"info":"NaN∪⫐↹⩛42010=NaN","layer":1},{"info":"NaN⩘NaN=↹⩛424","layer":0}]} +{"id":164,"expression_no_base_symbol":"(≘($3577$≚⊃≕$8025$))⨿(⊢≑≆(∥⊫$1733$))≦↸(($1080$⨴∎)↼⊘⨖$1592$⪮%⊝$1999$⊔(($3390$⨒$3407$)⋅⇍(⪛⨧$2077$)))","expression":"(≘(↹⩛24321≚⊃≕↹⩛101053))⨿(⊢≑≆(∥⊫↹⩛12005))≦↸((↹⩛5000⨴∎)↼⊘⨖↹⩛11212⪮%⊝↹⩛13131⊔((↹⩛23410⨒↹⩛23435)⋅⇍(⪛⨧↹⩛13341)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1662,"operation_count":13,"complexity_ratio":127.84615384615384,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3577,"base":6},"right_expr":{"type":"numeric_atoms","value":8025,"base":6}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1733,"base":6}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1080,"base":6}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1592,"base":6},"right_expr":{"type":"numeric_atoms","value":1999,"base":6}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3390,"base":6},"right_expr":{"type":"numeric_atoms","value":3407,"base":6}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2077,"base":6}}}}},"used_operators":["RygbFNSyEJ","abYXlopdE0","tcjXMdvYtA","Bmrmz2XGnR","27wFxooxGf","P8v4zCKN1o","E4l6HwMY31","bPywburJMS","CpSg5vQTgA","IWmyXbctLI","AdZkA7nFnk","y75s1iXyHd","6NJAcO2OWT"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"↹⩛-240101","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3577","layer":4},{"info":"number node, value=8025","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=8025, 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=-20417","layer":3},{"info":"compute unary expreesion, input=-20417, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=12004934","layer":2},{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2601","layer":3},{"info":"compute unary expreesion, input=2601, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=10856","layer":2},{"info":"compute binary expreesion, left_input=12004934, right_input=10856, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=1592","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=1999, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3500","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3500, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6778","layer":2},{"info":"number node, value=3390","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=3407, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19968","layer":3},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5555","layer":3},{"info":"compute binary expreesion, left_input=-19968, right_input=5555, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=6778, right_input=-22, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11046","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=11046, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20773","layer":0}],"base":6,"result_base":6,"text":"(≘(↹⩛24321≚⊃≕↹⩛101053))⨿(⊢≑≆(∥⊫↹⩛12005))≦↸((↹⩛5000⨴∎)↼⊘⨖↹⩛11212⪮%⊝↹⩛13131⊔((↹⩛23410⨒↹⩛23435)⋅⇍(⪛⨧↹⩛13341)))=↹⩛-240101","reverse_text":"↹⩛-240101=(≘(↹⩛24321≚⊃≕↹⩛101053))⨿(⊢≑≆(∥⊫↹⩛12005))≦↸((↹⩛5000⨴∎)↼⊘⨖↹⩛11212⪮%⊝↹⩛13131⊔((↹⩛23410⨒↹⩛23435)⋅⇍(⪛⨧↹⩛13341)))","cot":[{"info":"↹⩛24321≚⊃≕↹⩛101053=↹⩛-234305","layer":3},{"info":"≘↹⩛-234305=↹⩛1105150222","layer":2},{"info":"∥⊫↹⩛12005=↹⩛20013","layer":3},{"info":"⊢≑≆↹⩛20013=↹⩛122132","layer":2},{"info":"↹⩛1105150222⨿↹⩛122132=↹⩛-1251","layer":1},{"info":"↹⩛5000⨴∎=NaN","layer":3},{"info":"↹⩛11212⪮%⊝↹⩛13131=↹⩛24112","layer":3},{"info":"NaN↼⊘⨖↹⩛24112=↹⩛51214","layer":2},{"info":"↹⩛23410⨒↹⩛23435=↹⩛-232240","layer":3},{"info":"⪛⨧↹⩛13341=↹⩛41415","layer":3},{"info":"↹⩛-232240⋅⇍↹⩛41415=↹⩛-34","layer":2},{"info":"↹⩛51214⊔↹⩛-34=↹⩛123050","layer":1},{"info":"↹⩛-1251≦↸↹⩛123050=↹⩛-240101","layer":0}]} +{"id":165,"expression_no_base_symbol":"(↽≂$3995$⫘$5597$∌↝$1752$↓$2168$)≎⪠(($4226$⋥⋵⩄$3898$∪⫐$1194$⋛$5415$)∘($1777$⫞⩸⩒$3378$⊹≧⊝))","expression":"(↽≂↹⩛30255⫘↹⩛41525∌↝↹⩛12040↓↹⩛14012)≎⪠((↹⩛31322⋥⋵⩄↹⩛30014∪⫐↹⩛5310⋛↹⩛41023)∘(↹⩛12121⫞⩸⩒↹⩛23350⊹≧⊝))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":54317,"operation_count":11,"complexity_ratio":4937.909090909091,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3995,"base":6},"right_expr":{"type":"numeric_atoms","value":5597,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1752,"base":6},"right_expr":{"type":"numeric_atoms","value":2168,"base":6}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4226,"base":6},"right_expr":{"type":"numeric_atoms","value":3898,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1194,"base":6},"right_expr":{"type":"numeric_atoms","value":5415,"base":6}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1777,"base":6},"right_expr":{"type":"numeric_atoms","value":3378,"base":6}}}}},"used_operators":["aNhz54LH3e","u6S6b8DprG","9Isq31Ruls","48vC8HMD2b","Af076pWI7l","Z5m6OM72h2","7YooWSwCyH","7t3wd0Fuz7","YbUVn0Rbpy","LxFB4K6j0n","XGcMNugi78"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eH2TOUuTDT","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3995","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=3995, right_input=5597, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4702525","layer":3},{"info":"number node, value=1752","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=2168, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=4702525, right_input=-134, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"number node, value=4226","layer":4},{"info":"number node, value=3898","layer":4},{"info":"compute binary expreesion, left_input=4226, right_input=3898, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=5415","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=5415, 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=-121446","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-121446, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=113","layer":2},{"info":"number node, value=1777","layer":4},{"info":"number node, value=3378","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=3378, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3378","layer":3},{"info":"compute unary expreesion, input=3378, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-13512","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-13512, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=267","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=267, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(↽≂↹⩛30255⫘↹⩛41525∌↝↹⩛12040↓↹⩛14012)≎⪠((↹⩛31322⋥⋵⩄↹⩛30014∪⫐↹⩛5310⋛↹⩛41023)∘(↹⩛12121⫞⩸⩒↹⩛23350⊹≧⊝))=↹⩛230314","reverse_text":"↹⩛230314=(↽≂↹⩛30255⫘↹⩛41525∌↝↹⩛12040↓↹⩛14012)≎⪠((↹⩛31322⋥⋵⩄↹⩛30014∪⫐↹⩛5310⋛↹⩛41023)∘(↹⩛12121⫞⩸⩒↹⩛23350⊹≧⊝))","cot":[{"info":"↹⩛30255⫘↹⩛41525=↹⩛244442541","layer":3},{"info":"↹⩛12040↓↹⩛14012=↹⩛-342","layer":3},{"info":"↹⩛244442541∌↝↹⩛-342=↹⩛0","layer":2},{"info":"↽≂↹⩛0=↹⩛0","layer":1},{"info":"↹��31322⋥⋵⩄↹⩛30014=↹⩛305","layer":3},{"info":"↹⩛5310⋛↹⩛41023=↹⩛-2334130","layer":3},{"info":"↹⩛305∪⫐↹⩛-2334130=↹⩛305","layer":2},{"info":"↹⩛12121⫞⩸⩒↹⩛23350=↹⩛23350","layer":3},{"info":"↹⩛23350⊹≧⊝=↹⩛-142320","layer":2},{"info":"↹⩛305∘↹⩛-142320=↹⩛1123","layer":1},{"info":"↹⩛0≎⪠↹⩛1123=↹⩛230314","layer":0}]} +{"id":166,"expression_no_base_symbol":"((≛$2856$⊔$4248$)∠↢(⇋⊎⋝($4812$≓∲$5497$)))⊬⨰(⊲⪭(($1992$⊉≛↸$2340$)⊝⪿⪼($2962$+$5217$)))","expression":"((≛↹⩛21120⊔↹⩛31400)∠↢(⇋⊎⋝(↹⩛34140≓∲↹⩛41241)))⊬⨰(⊲⪭((↹⩛13120⊉≛↸↹⩛14500)⊝⪿⪼(↹⩛21414+↹⩛40053)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49042,"operation_count":10,"complexity_ratio":4904.2,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2856,"base":6},"right_expr":{"type":"numeric_atoms","value":4248,"base":6}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4812,"base":6},"right_expr":{"type":"numeric_atoms","value":5497,"base":6}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1992,"base":6},"right_expr":{"type":"numeric_atoms","value":2340,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2962,"base":6},"right_expr":{"type":"numeric_atoms","value":5217,"base":6}}}}},"used_operators":["s3Fd5m9Dh2","KbjG8mgYpV","W7eaUhjymW","E4l6HwMY31","CzM2PEoXns","s1XTVnmDOJ","k7HXdKtiEU","3Oe9XWJUTD","DZ8iAZOCBD","W4YGzv6Whe"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","i8ToyICDmI","xUOZtlo3hN","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2856","layer":4},{"info":"number node, value=4248","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=4248, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=24552","layer":3},{"info":"compute unary expreesion, input=24552, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=4812","layer":4},{"info":"number node, value=5497","layer":4},{"info":"compute binary expreesion, left_input=4812, right_input=5497, 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=48903","layer":3},{"info":"compute unary expreesion, input=48903, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=1992","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=2340, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3984","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=5217, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8179","layer":3},{"info":"compute binary expreesion, left_input=3984, right_input=8179, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=69692","layer":2},{"info":"compute unary expreesion, input=69692, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-69866","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-69866, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≛↹⩛21120⊔↹⩛31400)∠↢(⇋⊎⋝(↹⩛34140≓∲↹⩛41241)))⊬⨰(⊲⪭((↹⩛13120⊉≛↸↹⩛14500)⊝⪿⪼(↹⩛21414+↹⩛40053)))=NaN","reverse_text":"NaN=((≛↹⩛21120⊔↹⩛31400)∠↢(⇋⊎⋝(↹⩛34140≓∲↹⩛41241)))⊬⨰(⊲⪭((↹⩛13120⊉≛↸↹⩛14500)⊝⪿⪼(↹⩛21414+↹⩛40053)))","cot":[{"info":"↹⩛21120⊔↹⩛31400=↹⩛305400","layer":3},{"info":"≛↹⩛305400=↹⩛-14","layer":2},{"info":"↹⩛34140≓∲↹⩛41241=↹⩛1014223","layer":3},{"info":"⇋⊎⋝↹⩛1014223=NaN","layer":2},{"info":"↹⩛-14∠↢NaN=NaN","layer":1},{"info":"↹⩛13120⊉≛↸↹⩛14500=↹⩛30240","layer":3},{"info":"↹⩛21414+↹⩛40053=↹⩛101511","layer":3},{"info":"↹⩛30240⊝⪿⪼↹⩛101511=↹⩛1254352","layer":2},{"info":"⊲⪭↹⩛1254352=↹⩛-1255242","layer":1},{"info":"NaN⊬⨰↹⩛-1255242=NaN","layer":0}]} +{"id":167,"expression_no_base_symbol":"(($5750$∴≳≥)⊍⩺⋍$1096$⨿$1722$)⫯⪬∳(⇙⪊$4997$)⪝($1459$⫁⪎$1198$)⨐⩸⫘(($4491$*$3314$)⨹)⪃⊛⇣(($2310$∷$1911$)⫁($1636$∸))","expression":"((↹⩛42342∴≳≥)⊍⩺⋍↹⩛5024⨿↹⩛11550)⫯⪬∳(⇙⪊↹⩛35045)⪝(↹⩛10431⫁⪎↹⩛5314)⨐⩸⫘((↹⩛32443*↹⩛23202)⨹)⪃⊛⇣((↹⩛14410∷↹⩛12503)⫁(↹⩛11324∸))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8254,"operation_count":14,"complexity_ratio":589.5714285714286,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":5750,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1096,"base":6},"right_expr":{"type":"numeric_atoms","value":1722,"base":6}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4997,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1459,"base":6},"right_expr":{"type":"numeric_atoms","value":1198,"base":6}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4491,"base":6},"right_expr":{"type":"numeric_atoms","value":3314,"base":6}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2310,"base":6},"right_expr":{"type":"numeric_atoms","value":1911,"base":6}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1636,"base":6}}}}},"used_operators":["fu6greOZ01","d7ASUq0ydm","OXDGMFPWZM","a3N2hFLK0J","abYXlopdE0","wicAB68Tmb","pB6Fcnrjim","xRrnTEsQ6j","rrgAzCduG9","UnCoSGIALn","9HNa5Wba9A","0ajvFaJAv0","D3AQDKkPcf","o20kRiQErp"],"dependent_operators":["3ViojmjbAp","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","mp7IySMOzn","W4YGzv6Whe","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5750","layer":4},{"info":"compute unary expreesion, input=5750, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=23000","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1722, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=23000, right_input=-319, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4997","layer":4},{"info":"compute unary expreesion, input=4997, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=1198, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=261","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=261, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"number node, value=4491","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=3314, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14883174","layer":3},{"info":"compute unary expreesion, input=14883174, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=29766348","layer":2},{"info":"number node, value=2310","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=1911, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1911","layer":3},{"info":"number node, value=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1911, right_input=177, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=29766348, right_input=160, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 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":6,"result_base":6,"text":"((↹⩛42342∴≳≥)⊍⩺⋍↹⩛5024⨿↹⩛11550)⫯⪬∳(⇙⪊↹⩛35045)⪝(↹⩛10431⫁⪎↹⩛5314)⨐⩸⫘((↹⩛32443*↹⩛23202)⨹)⪃⊛⇣((↹⩛14410∷↹⩛12503)⫁(↹⩛11324∸))=NaN","reverse_text":"NaN=((↹⩛42342∴≳≥)⊍⩺⋍↹⩛5024⨿↹⩛11550)⫯⪬∳(⇙⪊↹⩛35045)⪝(↹⩛10431⫁⪎↹⩛5314)⨐⩸⫘((↹⩛32443*↹⩛23202)⨹)⪃⊛⇣((↹⩛14410∷↹⩛12503)⫁(↹⩛11324∸))","cot":[{"info":"↹⩛42342∴≳≥=↹⩛254252","layer":3},{"info":"↹⩛5024⨿↹⩛11550=↹⩛-1251","layer":3},{"info":"↹⩛254252⊍⩺⋍↹⩛-1251=NaN","layer":2},{"info":"⇙⪊↹⩛35045=↹⩛0","layer":3},{"info":"↹⩛10431⫁⪎↹⩛5314=↹⩛1113","layer":3},{"info":"↹⩛0⪝↹⩛1113=↹⩛1033","layer":2},{"info":"NaN⫯⪬∳↹⩛1033=NaN","layer":1},{"info":"↹⩛32443*↹⩛23202=↹⩛1250555330","layer":3},{"info":"↹⩛1250555330⨹=↹⩛2541555100","layer":2},{"info":"↹⩛14410∷↹⩛12503=↹⩛12503","layer":3},{"info":"↹⩛11324∸=↹⩛453","layer":3},{"info":"↹⩛12503⫁↹⩛453=↹⩛424","layer":2},{"info":"↹⩛2541555100⪃⊛⇣↹⩛424=↹⩛5414","layer":1},{"info":"NaN⨐⩸⫘↹⩛5414=NaN","layer":0}]} +{"id":168,"expression_no_base_symbol":"(⊁⨺(($2955$⋹⋡⊁$2339$)⫠))∙⊟($2279$≓∲$3122$↸(⨞⊢$1555$))⫰⋱($3798$⋝⋈⪟$2793$)⇻⋧≁($3406$↳∿⪆$1330$)","expression":"(⊁⨺((↹⩛21403⋹⋡⊁↹⩛14455)⫠))∙⊟(↹⩛14315≓∲↹⩛22242↸(⨞⊢↹⩛11111))⫰⋱(↹⩛25330⋝⋈⪟↹⩛20533)⇻⋧≁(↹⩛23434↳∿⪆↹⩛10054)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":115752,"operation_count":11,"complexity_ratio":10522.90909090909,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2955,"base":6},"right_expr":{"type":"numeric_atoms","value":2339,"base":6}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2279,"base":6},"right_expr":{"type":"numeric_atoms","value":3122,"base":6}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1555,"base":6}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3798,"base":6},"right_expr":{"type":"numeric_atoms","value":2793,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3406,"base":6},"right_expr":{"type":"numeric_atoms","value":1330,"base":6}}}}},"used_operators":["SxTAKzQCrw","PxiHyQbrIp","6SnOT2rOjz","As8RqfVLgs","6o9Blt3TJ6","1eCjFl0mb9","s1XTVnmDOJ","xUOZtlo3hN","jCPkEVoL5K","2DDjHMKMc0","Cw4SuJJGHO"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"↹⩛420343","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2955","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=2955, right_input=2339, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3089","layer":3},{"info":"compute unary expreesion, input=3089, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1845","layer":1},{"info":"number node, value=2279","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=3122, 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=23573","layer":3},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1729","layer":3},{"info":"compute binary expreesion, left_input=23573, right_input=-1729, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=23573","layer":2},{"info":"number node, value=3798","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=2793, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3798","layer":3},{"info":"number node, value=3406","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=1330, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3798, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=23573, right_input=-447, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-23059","layer":1},{"info":"compute binary expreesion, left_input=1845, right_input=-23059, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=33831","layer":0}],"base":6,"result_base":6,"text":"(⊁⨺((↹⩛21403⋹⋡⊁↹⩛14455)⫠))∙⊟(↹⩛14315≓∲↹⩛22242↸(⨞⊢↹⩛11111))⫰⋱(↹⩛25330⋝⋈⪟↹⩛20533)⇻⋧≁(↹⩛23434↳∿⪆↹⩛10054)=↹⩛420343","reverse_text":"↹⩛420343=(⊁⨺((↹⩛21403⋹⋡⊁↹⩛14455)⫠))∙⊟(↹⩛14315≓∲↹⩛22242↸(⨞⊢↹⩛11111))⫰⋱(↹⩛25330⋝⋈⪟↹⩛20533)⇻⋧≁(↹⩛23434↳∿⪆↹⩛10054)","cot":[{"info":"↹⩛21403⋹⋡⊁↹⩛14455=↹⩛22145","layer":3},{"info":"↹⩛22145⫠=↹⩛0","layer":2},{"info":"⊁⨺↹⩛0=↹⩛12313","layer":1},{"info":"↹⩛14315≓∲↹⩛22242=↹⩛301045","layer":3},{"info":"⨞⊢↹⩛11111=↹⩛-12001","layer":3},{"info":"↹⩛301045↸↹⩛-12001=↹⩛301045","layer":2},{"info":"↹⩛25330⋝⋈⪟↹⩛20533=↹⩛25330","layer":3},{"info":"↹⩛23434↳∿⪆↹⩛10054=NaN","layer":3},{"info":"↹⩛25330⇻⋧≁NaN=↹⩛-2023","layer":2},{"info":"↹⩛301045⫰⋱↹⩛-2023=↹⩛-254431","layer":1},{"info":"↹⩛12313∙⊟↹⩛-254431=↹⩛420343","layer":0}]} +{"id":169,"expression_no_base_symbol":"⨂⪏⇭($1185$⨸$1098$⪭≯(⇉-⫰$6709$)∪⫐($5274$∙⊟$6960$∟))","expression":"⨂⪏⇭(↹⩛5253⨸↹⩛5030⪭≯(⇉-⫰↹⩛51021)∪⫐(↹⩛40230∙⊟↹⩛52120∟))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6907,"operation_count":7,"complexity_ratio":986.7142857142857,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1185,"base":6},"right_expr":{"type":"numeric_atoms","value":1098,"base":6}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":6709,"base":6}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5274,"base":6},"right_expr":{"type":"numeric_atoms","value":6960,"base":6}}}}},"used_operators":["AYdpE9sXAk","7YooWSwCyH","XAx5wpdLa6","KmoU8R5UQR","IGFM8TAlm9","hTbEZDJLEm","SxTAKzQCrw"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rJVOvQCfKK","2DDjHMKMc0","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eH2TOUuTDT","eewbuw0ToL","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1098, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2370","layer":3},{"info":"number node, value=6709","layer":4},{"info":"compute unary expreesion, input=6709, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=2370, right_input=20, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=5274","layer":4},{"info":"number node, value=6960","layer":4},{"info":"compute binary expreesion, left_input=5274, right_input=6960, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=78408","layer":3},{"info":"compute unary expreesion, input=78408, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨂⪏⇭(↹⩛5253⨸↹⩛5030⪭≯(⇉-⫰↹⩛51021)∪⫐(↹⩛40230∙⊟↹⩛52120∟))=NaN","reverse_text":"NaN=⨂⪏⇭(↹⩛5253⨸↹⩛5030⪭≯(⇉-⫰↹⩛51021)∪⫐(↹⩛40230∙⊟↹⩛52120∟))","cot":[{"info":"↹⩛5253⨸↹⩛5030=↹⩛14550","layer":3},{"info":"⇉-⫰↹⩛51021=↹⩛32","layer":3},{"info":"↹⩛14550⪭≯↹⩛32=NaN","layer":2},{"info":"↹⩛40230∙⊟↹⩛52120=↹⩛1403000","layer":3},{"info":"↹⩛1403000∟=↹⩛305","layer":2},{"info":"NaN∪⫐↹⩛305=NaN","layer":1},{"info":"⨂⪏⇭NaN=NaN","layer":0}]} +{"id":170,"expression_no_base_symbol":"($2986$∛$1426$⪛⫼($3416$∐⫣)⫌⩉⩟(⊗$3036$)≥⨤⩑(≉$1600$))⊔($1230$⋣⋖$1579$⊹∫⫚($4951$⪇≇⋚$1074$))⇻⋧≁($6124$⇂≾⫗$6089$⇴(⊤⊝$1176$))","expression":"(↹⩛21454∛↹⩛10334⪛⫼(↹⩛23452∐⫣)⫌⩉⩟(⊗↹⩛22020)≥⨤⩑(≉↹⩛11224))⊔(↹⩛5410⋣⋖↹⩛11151⊹∫⫚(↹⩛34531⪇≇⋚↹⩛4550))⇻⋧≁(↹⩛44204⇂≾⫗↹⩛44105⇴(⊤⊝↹⩛5240))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":8115,"operation_count":15,"complexity_ratio":541.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2986,"base":6},"right_expr":{"type":"numeric_atoms","value":1426,"base":6}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3416,"base":6}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3036,"base":6}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1600,"base":6}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":1579,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4951,"base":6},"right_expr":{"type":"numeric_atoms","value":1074,"base":6}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6124,"base":6},"right_expr":{"type":"numeric_atoms","value":6089,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1176,"base":6}}}}},"used_operators":["E4l6HwMY31","XIIwhv8d0m","hyuBjUqXlG","w2537kitQq","4CyGpkTkEk","gJLn6v0xnP","RhiyfpczSx","e1ybzncUwg","jCPkEVoL5K","uWAJUKEvyW","J0M6qkBnIM","3sJ7IOPOlU","4JB6nKBMSY","aBQ6xLxuTc","rXAclfmB4M"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp"],"result":"↹⩛-343","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2986","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1426, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3416","layer":4},{"info":"compute unary expreesion, input=3416, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=551, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=3036","layer":4},{"info":"compute unary expreesion, input=3036, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6072","layer":3},{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2131","layer":3},{"info":"compute binary expreesion, left_input=-6072, right_input=2131, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=1234, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1579, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1230","layer":3},{"info":"number node, value=4951","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4951, right_input=1074, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1230, right_input=0, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":2},{"info":"number node, value=6124","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=6089, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1054","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=1054, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-2334","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2334, 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=-50, right_input=-447, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-135","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21454∛↹⩛10334⪛⫼(↹⩛23452∐⫣)⫌⩉⩟(⊗↹⩛22020)≥⨤⩑(≉↹⩛11224))⊔(↹⩛5410⋣⋖↹⩛11151⊹∫⫚(↹⩛34531⪇≇⋚↹⩛4550))⇻⋧≁(↹⩛44204⇂≾⫗↹⩛44105⇴(⊤⊝↹⩛5240))=↹⩛-343","reverse_text":"↹⩛-343=(↹⩛21454∛↹⩛10334⪛⫼(↹⩛23452∐⫣)⫌⩉⩟(⊗↹⩛22020)≥⨤⩑(≉↹⩛11224))⊔(↹⩛5410⋣⋖↹⩛11151⊹∫⫚(↹⩛34531⪇≇⋚↹⩛4550))⇻⋧≁(↹⩛44204⇂≾⫗↹⩛44105⇴(⊤⊝↹⩛5240))","cot":[{"info":"↹⩛21454∛↹⩛10334=↹⩛151","layer":3},{"info":"↹⩛23452∐⫣=↹⩛2315","layer":3},{"info":"↹⩛151⪛⫼↹⩛2315=↹⩛4252","layer":2},{"info":"⊗↹⩛22020=↹⩛-44040","layer":3},{"info":"≉↹⩛11224=↹⩛13511","layer":3},{"info":"↹⩛-44040≥⨤⩑↹⩛13511=↹⩛5414","layer":2},{"info":"↹⩛4252⫌⩉⩟↹⩛5414=↹⩛-122","layer":1},{"info":"↹⩛5410⋣⋖↹⩛11151=↹⩛5410","layer":3},{"info":"↹⩛34531⪇≇⋚↹⩛4550=↹⩛0","layer":3},{"info":"↹⩛5410⊹∫⫚↹⩛0=↹⩛0","layer":2},{"info":"↹⩛44204⇂≾⫗↹⩛44105=↹⩛-3044","layer":3},{"info":"⊤⊝↹⩛5240=↹⩛4514","layer":3},{"info":"↹⩛-3044⇴↹⩛4514=↹⩛-14450","layer":2},{"info":"↹⩛0⇻⋧≁↹⩛-14450=↹⩛-2023","layer":1},{"info":"↹⩛-122⊔↹⩛-2023=↹⩛-343","layer":0}]} +{"id":171,"expression_no_base_symbol":"(⇉-⫰(⊊≼∋($5846$∼$1385$)))⩏","expression":"(⇉-⫰(⊊≼∋(↹⩛43022∼↹⩛10225)))⩏","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":386,"operation_count":4,"complexity_ratio":96.5,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5846,"base":6},"right_expr":{"type":"numeric_atoms","value":1385,"base":6}}}}},"used_operators":["iA2gmKZ3Wj","IGFM8TAlm9","FWz7pXsQhA","DyGG3AbaNP"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","eH2TOUuTDT","eewbuw0ToL","B5M0gjZbta","jCPkEVoL5K","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5846","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=5846, right_input=1385, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⇉-⫰(⊊≼∋(↹⩛43022∼↹⩛10225)))⩏=↹⩛0","reverse_text":"↹⩛0=(⇉-⫰(⊊≼∋(↹⩛43022∼↹⩛10225)))⩏","cot":[{"info":"↹⩛43022∼↹⩛10225=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"⇉-⫰NaN=NaN","layer":1},{"info":"NaN⩏=↹⩛0","layer":0}]} +{"id":172,"expression_no_base_symbol":"⨈⫕(+⊝⨔($2617$⩼⇪↪$1432$)∴(⨛$2249$))","expression":"⨈⫕(+⊝⨔(↹⩛20041⩼⇪↪↹⩛10344)∴(⨛↹⩛14225))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":472,"operation_count":5,"complexity_ratio":94.4,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2617,"base":6},"right_expr":{"type":"numeric_atoms","value":1432,"base":6}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2249,"base":6}}}}},"used_operators":["megm06wKyl","DhbWaqg5eL","hrf7POJlIJ","ocnLzx9CaJ","CoMdbyAt7R"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1432, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5573","layer":3},{"info":"number node, value=2249","layer":4},{"info":"compute unary expreesion, input=2249, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5573, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-9498","layer":2},{"info":"compute unary expreesion, input=-9498, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":6,"result_base":6,"text":"⨈⫕(+⊝⨔(↹⩛20041⩼⇪↪↹⩛10344)∴(⨛↹⩛14225))=↹⩛-33","reverse_text":"↹⩛-33=⨈⫕(+⊝⨔(↹⩛20041⩼⇪↪↹⩛10344)∴(⨛↹⩛14225))","cot":[{"info":"↹⩛20041⩼⇪↪↹⩛10344=↹⩛-41445","layer":3},{"info":"⨛↹⩛14225=NaN","layer":3},{"info":"↹⩛-41445∴NaN=↹⩛-111550","layer":2},{"info":"+⊝⨔↹⩛-111550=↹⩛11014","layer":1},{"info":"⨈⫕↹⩛11014=↹⩛-33","layer":0}]} +{"id":173,"expression_no_base_symbol":"∓⪦((⫖→$2141$)⨌↪)∣((⇉-⫰$1678$)⇐≅)","expression":"∓⪦((⫖→↹⩛13525)⨌↪)∣((⇉-⫰↹⩛11434)⇐≅)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2404,"operation_count":6,"complexity_ratio":400.6666666666667,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2141,"base":6}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1678,"base":6}}}}},"used_operators":["D309nIvmXG","PPChnnnBFF","cWQsF5MvuD","U4ylXWHChL","wEfv7U73WA","IGFM8TAlm9"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","eH2TOUuTDT","eewbuw0ToL"],"result":"↹⩛2324","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2141","layer":4},{"info":"compute unary expreesion, input=2141, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=1678","layer":4},{"info":"compute unary expreesion, input=1678, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-493","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-493, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=964","layer":1},{"info":"compute unary expreesion, input=964, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=556","layer":0}],"base":6,"result_base":6,"text":"∓⪦((⫖→↹⩛13525)⨌↪)∣((⇉-⫰↹⩛11434)⇐≅)=↹⩛2324","reverse_text":"↹⩛2324=∓⪦((⫖→↹⩛13525)⨌↪)∣((⇉-⫰↹⩛11434)⇐≅)","cot":[{"info":"⫖→↹⩛13525=↹⩛453","layer":3},{"info":"↹⩛453⨌↪=↹⩛-2120","layer":2},{"info":"⇉-⫰↹⩛11434=↹⩛32","layer":3},{"info":"↹⩛32⇐≅=↹⩛-2141","layer":2},{"info":"↹⩛-2120∣↹⩛-2141=↹⩛4244","layer":1},{"info":"∓⪦↹⩛4244=↹⩛2324","layer":0}]} +{"id":174,"expression_no_base_symbol":"((↯⪼(≔$1699$))⇼⇔∾(⊈($8189$⊹∫⫚$5724$)))⪇≇⋚($1291$+⇶⊼$4106$⪨⊡($1965$⊹∫⫚$2155$))≹⇙⪍($2197$⪥$2715$⋓($2009$∖$2146$))","expression":"((↯⪼(≔↹⩛11511))⇼⇔∾(⊈(↹⩛101525⊹∫⫚↹⩛42300)))⪇≇⋚(↹⩛5551+⇶⊼↹⩛31002⪨⊡(↹⩛13033⊹∫⫚↹⩛13551))≹⇙⪍(↹⩛14101⪥↹⩛20323⋓(↹⩛13145∖↹⩛13534))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":568,"operation_count":13,"complexity_ratio":43.69230769230769,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1699,"base":6}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"���∫⫚","left_expr":{"type":"numeric_atoms","value":8189,"base":6},"right_expr":{"type":"numeric_atoms","value":5724,"base":6}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1291,"base":6},"right_expr":{"type":"numeric_atoms","value":4106,"base":6}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1965,"base":6},"right_expr":{"type":"numeric_atoms","value":2155,"base":6}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2197,"base":6},"right_expr":{"type":"numeric_atoms","value":2715,"base":6}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2009,"base":6},"right_expr":{"type":"numeric_atoms","value":2146,"base":6}}}}},"used_operators":["3sJ7IOPOlU","tifHPKVTfV","8jW3W4yZS5","8FLs4eVsLt","RHru8klgy8","uWAJUKEvyW","AHs5Up7iyr","kuIXHzHcAH","TpPTUOHfaN","T2fj7uvVaJ","QbnwKVWMIQ","tXD093vOjl"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","12rbrZMWeM","xUOZtlo3hN","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","dWAJyo7jo9","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1699","layer":4},{"info":"compute unary expreesion, input=1699, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-46278","layer":3},{"info":"compute unary expreesion, input=-46278, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=91639","layer":2},{"info":"number node, value=8189","layer":4},{"info":"number node, value=5724","layer":4},{"info":"compute binary expreesion, left_input=8189, right_input=5724, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-72","layer":3},{"info":"compute unary expreesion, input=-72, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-102","layer":2},{"info":"compute binary expreesion, left_input=91639, right_input=-102, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-91741","layer":1},{"info":"number node, value=1291","layer":4},{"info":"number node, value=4106","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=4106, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1965","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=2155, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-92","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-92, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1157","layer":2},{"info":"number node, value=2197","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=2715, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13440","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=2146, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=13440, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1157, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))���(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=1157","layer":1},{"info":"compute binary expreesion, left_input=-91741, right_input=1157, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↯⪼(≔↹⩛11511))⇼⇔∾(⊈(↹⩛101525⊹∫⫚↹⩛42300)))⪇≇⋚(↹⩛5551+⇶⊼↹⩛31002⪨⊡(↹⩛13033⊹∫⫚↹⩛13551))≹⇙⪍(↹⩛14101⪥↹⩛20323⋓(↹⩛13145∖↹⩛13534))=↹⩛0","reverse_text":"↹⩛0=((↯⪼(≔↹⩛11511))⇼⇔∾(⊈(↹⩛101525⊹∫⫚↹⩛42300)))⪇≇⋚(↹⩛5551+⇶⊼↹⩛31002⪨⊡(↹⩛13033⊹∫⫚↹⩛13551))≹⇙⪍(↹⩛14101⪥↹⩛20323⋓(↹⩛13145∖↹⩛13534))","cot":[{"info":"≔↹⩛11511=↹⩛-554130","layer":3},{"info":"↯⪼↹⩛-554130=↹⩛1544131","layer":2},{"info":"↹⩛101525⊹∫⫚↹⩛42300=↹⩛-200","layer":3},{"info":"⊈↹⩛-200=↹⩛-250","layer":2},{"info":"↹⩛1544131⇼⇔∾↹⩛-250=↹⩛-1544421","layer":1},{"info":"↹⩛5551+⇶⊼↹⩛31002=NaN","layer":3},{"info":"↹⩛13033⊹∫⫚↹⩛13551=↹⩛-232","layer":3},{"info":"NaN⪨⊡↹⩛-232=↹⩛5205","layer":2},{"info":"↹⩛14101⪥↹⩛20323=↹⩛142120","layer":3},{"info":"↹⩛13145∖↹⩛13534=↹⩛0","layer":3},{"info":"↹⩛142120⋓↹⩛0=↹⩛0","layer":2},{"info":"↹⩛5205≹⇙⪍↹⩛0=↹⩛5205","layer":1},{"info":"↹⩛-1544421⪇≇⋚↹⩛5205=↹⩛0","layer":0}]} +{"id":175,"expression_no_base_symbol":"($1508$≠≀$3239$)⨥⫆$1267$⋕⪉⪜$2859$⫢⨠($3415$∋$1100$⋭≵(≱⇩⩕$2593$))⨸⪁(⇺⋃($3418$⇼⇔∾$5503$)⋕⪉⪜($1764$∼$8620$))","expression":"(↹⩛10552≠≀↹⩛22555)⨥⫆↹⩛5511⋕⪉⪜↹⩛21123⫢⨠(↹⩛23451∋↹⩛5032⋭≵(≱⇩⩕↹⩛20001))⨸⪁(⇺⋃(↹⩛23454⇼⇔∾↹⩛41251)⋕⪉⪜(↹⩛12100∼↹⩛103524))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11655,"operation_count":12,"complexity_ratio":971.25,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1508,"base":6},"right_expr":{"type":"numeric_atoms","value":3239,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1267,"base":6},"right_expr":{"type":"numeric_atoms","value":2859,"base":6}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3415,"base":6},"right_expr":{"type":"numeric_atoms","value":1100,"base":6}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2593,"base":6}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3418,"base":6},"right_expr":{"type":"numeric_atoms","value":5503,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1764,"base":6},"right_expr":{"type":"numeric_atoms","value":8620,"base":6}}}}},"used_operators":["g55IO6H4Gj","xlXykHWxX1","yXekIHxTD4","IwW236VD4Y","z6LnFrNh4i","jBncVCNhdl","ukq6epAj5P","3DZMoQKiUl","E5v5B3UAjG","tifHPKVTfV","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"↹⩛20414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=3239","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=3239, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2710","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=2859, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=-2710, right_input=204, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=3415","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=1100, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2403108","layer":3},{"info":"number node, value=2593","layer":4},{"info":"compute unary expreesion, input=2593, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2403108, right_input=113, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=67, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=3418","layer":4},{"info":"number node, value=5503","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=5503, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2085","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=8620","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=8620, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2085, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1213","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1213, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2746","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10552≠≀↹⩛22555)⨥⫆↹⩛5511⋕⪉⪜↹⩛21123⫢⨠(↹⩛23451∋↹⩛5032⋭≵(≱⇩⩕↹⩛20001))⨸⪁(⇺⋃(↹⩛23454⇼⇔∾↹⩛41251)⋕⪉⪜(↹⩛12100∼↹⩛103524))=↹⩛20414","reverse_text":"↹⩛20414=(↹⩛10552≠≀↹⩛22555)⨥⫆↹⩛5511⋕⪉⪜↹⩛21123⫢⨠(↹⩛23451∋↹⩛5032⋭≵(≱⇩⩕↹⩛20001))⨸⪁(⇺⋃(↹⩛23454⇼⇔∾↹⩛41251)⋕⪉⪜(↹⩛12100∼↹⩛103524))","cot":[{"info":"↹⩛10552≠≀↹⩛22555=↹⩛-20314","layer":3},{"info":"↹⩛5511⋕⪉⪜↹⩛21123=↹⩛540","layer":3},{"info":"↹⩛-20314⨥⫆↹⩛540=↹⩛-1","layer":2},{"info":"↹⩛23451∋↹⩛5032=↹⩛123301300","layer":3},{"info":"≱⇩⩕↹⩛20001=↹⩛305","layer":3},{"info":"↹⩛123301300⋭≵↹⩛305=↹⩛151","layer":2},{"info":"↹⩛-1⫢⨠↹⩛151=↹⩛424","layer":1},{"info":"↹⩛23454⇼⇔∾↹⩛41251=↹⩛13353","layer":3},{"info":"↹⩛12100∼↹⩛103524=NaN","layer":3},{"info":"↹⩛13353⋕⪉⪜NaN=↹⩛540","layer":2},{"info":"⇺⋃↹⩛540=↹⩛5341","layer":1},{"info":"↹⩛424⨸⪁↹⩛5341=↹⩛20414","layer":0}]} +{"id":176,"expression_no_base_symbol":"⪹(($3894$⩘$1724$)≨($3070$⇐≅))⊮⊟↴(($8036$↺$1841$)⨟⋌⩍$1040$⪃⊛⇣$2772$)","expression":"⪹((↹⩛30010⩘↹⩛11552)≨(↹⩛22114⇐≅))⊮⊟↴((↹⩛101112↺↹⩛12305)⨟⋌⩍↹⩛4452⪃⊛⇣↹⩛20500)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":796,"operation_count":8,"complexity_ratio":99.5,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3894,"base":6},"right_expr":{"type":"numeric_atoms","value":1724,"base":6}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3070,"base":6}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8036,"base":6},"right_expr":{"type":"numeric_atoms","value":1841,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1040,"base":6},"right_expr":{"type":"numeric_atoms","value":2772,"base":6}}}}},"used_operators":["USyYr0JgAa","QDVgd2eftb","0KMCeP1Jsh","cHh1gJQ2o6","wEfv7U73WA","rGHVDoGpnC","7j4O788W3g","rrgAzCduG9"],"dependent_operators":["tifHPKVTfV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3894","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=3894, right_input=1724, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3070","layer":4},{"info":"compute unary expreesion, input=3070, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=9178","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9178, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":2},{"info":"number node, value=8036","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=8036, right_input=1841, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1841","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2772, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1841, right_input=1234, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=876, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⪹((↹⩛30010⩘↹⩛11552)≨(↹⩛22114⇐≅))⊮⊟↴((↹⩛101112↺↹⩛12305)⨟⋌⩍↹⩛4452⪃⊛⇣↹⩛20500)=NaN","reverse_text":"NaN=⪹((↹⩛30010⩘↹⩛11552)≨(↹⩛22114⇐≅))⊮⊟↴((↹⩛101112↺↹⩛12305)⨟⋌⩍↹⩛4452⪃⊛⇣↹⩛20500)","cot":[{"info":"↹⩛30010⩘↹⩛11552=↹⩛424","layer":3},{"info":"↹⩛22114⇐≅=↹⩛110254","layer":3},{"info":"↹⩛424≨↹⩛110254=↹⩛4020","layer":2},{"info":"↹⩛101112↺↹⩛12305=↹⩛12305","layer":3},{"info":"↹⩛4452⪃⊛⇣↹⩛20500=↹⩛5414","layer":3},{"info":"↹⩛12305⨟⋌⩍↹⩛5414=NaN","layer":2},{"info":"↹⩛4020⊮⊟↴NaN=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]} +{"id":177,"expression_no_base_symbol":"(($7226$⊉↱≁$3481$)≦↸($1450$⋝⋈⪟$4497$)↪⪝)⩌⋺($2454$⪝$2171$⊬⨰($6409$↺$2463$)∠↢($2986$⪨≂$1442$)⊕∕($2471$≥⨤⩑$4251$))","expression":"((↹⩛53242⊉↱≁↹⩛24041)≦↸(↹⩛10414⋝⋈⪟↹⩛32453)↪⪝)⩌⋺(↹⩛15210⪝↹⩛14015⊬⨰(↹⩛45401↺↹⩛15223)∠↢(↹⩛21454⪨≂↹⩛10402)⊕∕(↹⩛15235≥⨤⩑↹⩛31403))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1215,"operation_count":12,"complexity_ratio":101.25,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7226,"base":6},"right_expr":{"type":"numeric_atoms","value":3481,"base":6}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1450,"base":6},"right_expr":{"type":"numeric_atoms","value":4497,"base":6}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2454,"base":6},"right_expr":{"type":"numeric_atoms","value":2171,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6409,"base":6},"right_expr":{"type":"numeric_atoms","value":2463,"base":6}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2986,"base":6},"right_expr":{"type":"numeric_atoms","value":1442,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2471,"base":6},"right_expr":{"type":"numeric_atoms","value":4251,"base":6}}}}},"used_operators":["g7Hmc5v1ko","l07mrZUIn9","RygbFNSyEJ","w2P8NbNXyL","2DDjHMKMc0","KbjG8mgYpV","s3Fd5m9Dh2","wicAB68Tmb","7j4O788W3g","9cloC0Ngie","sdazOOVcIp","gJLn6v0xnP"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","2DDjHMKMc0","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7226","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=7226, right_input=3481, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=51322","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=4497","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=4497, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1450","layer":3},{"info":"compute binary expreesion, left_input=51322, right_input=1450, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-104863","layer":2},{"info":"compute unary expreesion, input=-104863, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":1},{"info":"number node, value=2454","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=2171, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1531","layer":3},{"info":"number node, value=6409","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=6409, right_input=2463, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2463","layer":3},{"info":"compute binary expreesion, left_input=-1531, right_input=2463, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6790","layer":2},{"info":"number node, value=2986","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1442, 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=3190","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=4251, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3190, right_input=1234, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3190","layer":2},{"info":"compute binary expreesion, left_input=6790, right_input=3190, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-70738","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-70738, 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":6,"result_base":6,"text":"((↹⩛53242⊉↱≁↹⩛24041)≦↸(↹⩛10414⋝⋈⪟↹⩛32453)↪⪝)⩌⋺(↹⩛15210⪝↹⩛14015⊬⨰(↹⩛45401↺↹⩛15223)∠↢(↹⩛21454⪨≂↹⩛10402)⊕∕(↹⩛15235≥⨤⩑↹⩛31403))=NaN","reverse_text":"NaN=((↹⩛53242⊉↱≁↹⩛24041)≦↸(↹⩛10414⋝⋈⪟↹⩛32453)↪⪝)⩌⋺(↹⩛15210⪝↹⩛14015⊬⨰(↹⩛45401↺↹⩛15223)∠↢(↹⩛21454⪨≂↹⩛10402)⊕∕(↹⩛15235≥⨤⩑↹⩛31403))","cot":[{"info":"↹⩛53242⊉↱≁↹⩛24041=↹⩛1033334","layer":3},{"info":"↹⩛10414⋝⋈⪟↹⩛32453=↹⩛10414","layer":3},{"info":"↹⩛1033334≦↸↹⩛10414=↹⩛-2125251","layer":2},{"info":"↹⩛-2125251↪⪝=-Inf","layer":1},{"info":"↹⩛15210⪝↹⩛14015=↹⩛-11031","layer":3},{"info":"↹⩛45401↺↹⩛15223=↹⩛15223","layer":3},{"info":"↹⩛-11031⊬⨰↹⩛15223=↹⩛51234","layer":2},{"info":"↹⩛21454⪨≂↹⩛10402=↹⩛22434","layer":3},{"info":"↹⩛15235≥⨤⩑↹⩛31403=↹⩛5414","layer":3},{"info":"↹⩛22434⊕∕↹⩛5414=↹⩛22434","layer":2},{"info":"↹⩛51234∠↢↹⩛22434=↹⩛-1303254","layer":1},{"info":"-Inf⩌⋺↹⩛-1303254=NaN","layer":0}]} +{"id":178,"expression_no_base_symbol":"(⊖$2910$⨥⫆$2571$⋾⨃∁($1619$⪨⊡$2593$))↞⋁(⩒∊($1320$∼$5216$⋝⋈⪟(≇⪴$4231$)))","expression":"(⊖↹⩛21250⨥⫆↹⩛15523⋾⨃∁(↹⩛11255⪨⊡↹⩛20001))↞⋁(⩒∊(↹⩛10040∼↹⩛40052⋝⋈⪟(≇⪴↹⩛31331)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":288,"operation_count":9,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2910,"base":6},"right_expr":{"type":"numeric_atoms","value":2571,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1619,"base":6},"right_expr":{"type":"numeric_atoms","value":2593,"base":6}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1320,"base":6},"right_expr":{"type":"numeric_atoms","value":5216,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4231,"base":6}}}}},"used_operators":["RqrPlJkxDo","U6pG0PXrV3","212REbPD9h","yXekIHxTD4","kuIXHzHcAH","qazvmhNBbN","2DDjHMKMc0","DyGG3AbaNP","zoVPnxeHJ3"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2910","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=2571, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5018","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=2593, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5018, 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":2},{"info":"compute unary expreesion, input=-94, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=282","layer":1},{"info":"number node, value=1320","layer":4},{"info":"number node, value=5216","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=5216, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4231","layer":4},{"info":"compute unary expreesion, input=4231, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11353","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11353, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=282, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊖↹⩛21250⨥⫆↹⩛15523⋾⨃∁(↹⩛11255⪨⊡↹⩛20001))↞⋁(⩒∊(↹⩛10040∼↹⩛40052⋝⋈⪟(≇⪴↹⩛31331)))=NaN","reverse_text":"NaN=(⊖↹⩛21250⨥⫆↹⩛15523⋾⨃∁(↹⩛11255⪨⊡↹⩛20001))↞⋁(⩒∊(↹⩛10040∼↹⩛40052⋝⋈⪟(≇⪴↹⩛31331)))","cot":[{"info":"↹⩛21250⨥⫆↹⩛15523=↹⩛35122","layer":3},{"info":"↹⩛11255⪨⊡↹⩛20001=↹⩛0","layer":3},{"info":"↹⩛35122⋾⨃∁↹⩛0=↹⩛-234","layer":2},{"info":"⊖↹⩛-234=↹⩛1150","layer":1},{"info":"↹⩛10040∼↹⩛40052=NaN","layer":3},{"info":"≇⪴↹⩛31331=↹⩛-124321","layer":3},{"info":"NaN⋝⋈⪟↹⩛-124321=NaN","layer":2},{"info":"⩒∊NaN=NaN","layer":1},{"info":"↹⩛1150↞⋁NaN=NaN","layer":0}]} +{"id":179,"expression_no_base_symbol":"(($1059$⩍⋽⫝̸$1274$⫚↹⊑$2212$⩁⩘$2641$)⫰⋱($2500$⪉⨛$1041$)⨟⋌⩍($1936$⊔$1033$))+⇶⊼($7500$≁$3652$⩺⪪$2153$↞⋁$1416$)⇂≾⫗(($2932$⫸⊐$1528$)≥⨤⩑$1019$⊕∕$1634$)","expression":"((↹⩛4523⩍⋽⫝̸↹⩛5522⫚↹⊑↹⩛14124⩁⩘↹⩛20121)⫰⋱(↹⩛15324⪉⨛↹⩛4453)⨟⋌⩍(↹⩛12544⊔↹⩛4441))+⇶⊼(↹⩛54420≁↹⩛24524⩺⪪↹⩛13545↞⋁↹⩛10320)⇂≾⫗((↹⩛21324⫸⊐↹⩛11024)≥⨤⩑↹⩛4415⊕∕↹⩛11322)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":546,"operation_count":15,"complexity_ratio":36.4,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1059,"base":6},"right_expr":{"type":"numeric_atoms","value":1274,"base":6}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2212,"base":6},"right_expr":{"type":"numeric_atoms","value":2641,"base":6}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2500,"base":6},"right_expr":{"type":"numeric_atoms","value":1041,"base":6}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1936,"base":6},"right_expr":{"type":"numeric_atoms","value":1033,"base":6}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7500,"base":6},"right_expr":{"type":"numeric_atoms","value":3652,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2153,"base":6},"right_expr":{"type":"numeric_atoms","value":1416,"base":6}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2932,"base":6},"right_expr":{"type":"numeric_atoms","value":1528,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1019,"base":6},"right_expr":{"type":"numeric_atoms","value":1634,"base":6}}}}},"used_operators":["TpPTUOHfaN","6o9Blt3TJ6","dfKe02y8D2","BiWNJpBvwn","gub5Cegaqo","rGHVDoGpnC","EWw2JM7wp4","E4l6HwMY31","aBQ6xLxuTc","uvdQJvN4PV","8N2wDY1A35","RqrPlJkxDo","gJLn6v0xnP","mqXw5SEYmG","9cloC0Ngie"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","IWmyXbctLI","Tcnh7f0tEr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1274, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=328","layer":3},{"info":"number node, value=2212","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=2641, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11512","layer":3},{"info":"compute binary expreesion, left_input=328, right_input=11512, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2500","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=1041, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6674","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1033, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6637","layer":3},{"info":"compute binary expreesion, left_input=6674, right_input=6637, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=7500","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=7500, right_input=3652, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=74447","layer":3},{"info":"number node, value=2153","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=1416, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=74447, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=2932","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=1528, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5987","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1634, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1019","layer":3},{"info":"compute binary expreesion, left_input=5987, right_input=1019, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":6,"result_base":6,"text":"((↹⩛4523⩍⋽⫝̸↹⩛5522⫚↹⊑↹⩛14124⩁⩘↹⩛20121)⫰⋱(↹⩛15324⪉⨛↹⩛4453)⨟⋌⩍(↹⩛12544⊔↹⩛4441))+⇶⊼(↹⩛54420≁↹⩛24524⩺⪪↹⩛13545↞⋁↹⩛10320)⇂≾⫗((↹⩛21324⫸⊐↹⩛11024)≥⨤⩑↹⩛4415⊕∕↹⩛11322)=NaN","reverse_text":"NaN=((↹⩛4523⩍⋽⫝̸↹⩛5522⫚↹⊑↹⩛14124⩁⩘↹⩛20121)⫰⋱(↹⩛15324⪉⨛↹⩛4453)⨟⋌⩍(↹⩛12544⊔↹⩛4441))+⇶⊼(↹⩛54420≁↹⩛24524⩺⪪↹⩛13545↞⋁↹⩛10320)⇂≾⫗((↹⩛21324⫸⊐↹⩛11024)≥⨤⩑↹⩛4415⊕∕↹⩛11322)","cot":[{"info":"↹⩛4523⩍⋽⫝̸↹⩛5522=↹⩛1304","layer":3},{"info":"↹⩛14124⩁⩘↹⩛20121=↹⩛125144","layer":3},{"info":"↹⩛1304⫚↹⊑↹⩛125144=↹⩛-2023","layer":2},{"info":"↹⩛15324⪉⨛↹⩛4453=↹⩛50522","layer":3},{"info":"↹⩛12544⊔↹⩛4441=↹⩛50421","layer":3},{"info":"↹⩛50522⨟⋌⩍↹⩛50421=NaN","layer":2},{"info":"↹⩛-2023⫰⋱NaN=NaN","layer":1},{"info":"↹⩛54420≁↹⩛24524=↹⩛1332355","layer":3},{"info":"↹⩛13545↞⋁↹⩛10320=NaN","layer":3},{"info":"↹⩛1332355⩺⪪NaN=NaN","layer":2},{"info":"↹⩛21324⫸⊐↹⩛11024=↹⩛43415","layer":3},{"info":"↹⩛4415⊕∕↹⩛11322=↹⩛4415","layer":3},{"info":"↹⩛43415≥⨤⩑↹⩛4415=↹⩛5414","layer":2},{"info":"NaN⇂≾⫗↹⩛5414=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]} +{"id":180,"expression_no_base_symbol":"($6669$⇻⋧≁$8566$∘$3552$≦↸$5308$⨟⋌⩍(∜⨇$7095$)⪬($6616$%$4698$))∳⫺(⩏⊷≩($1070$⪒⊣⊆$8341$⫔⩽⩺$2704$⇤$2411$))","expression":"(↹⩛50513⇻⋧≁↹⩛103354∘↹⩛24240≦↸↹⩛40324⨟⋌⩍(∜⨇↹⩛52503)⪬(↹⩛50344%↹⩛33430))∳⫺(⩏⊷≩(↹⩛4542⪒⊣⊆↹⩛102341⫔⩽⩺↹⩛20304⇤↹⩛15055))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7467,"operation_count":12,"complexity_ratio":622.25,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6669,"base":6},"right_expr":{"type":"numeric_atoms","value":8566,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3552,"base":6},"right_expr":{"type":"numeric_atoms","value":5308,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":7095,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6616,"base":6},"right_expr":{"type":"numeric_atoms","value":4698,"base":6}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1070,"base":6},"right_expr":{"type":"numeric_atoms","value":8341,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2704,"base":6},"right_expr":{"type":"numeric_atoms","value":2411,"base":6}}}}},"used_operators":["AzXXKTstlj","rGHVDoGpnC","Z5m6OM72h2","jCPkEVoL5K","RygbFNSyEJ","Ez1Nq5fNfI","uFPyJr306J","k8jYdgA6NY","uOZ1tnYMDE","i9eR4S00cU","eRqsBgTDFp","YSKBFp38Pu"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Tcnh7f0tEr","eH2TOUuTDT","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛-1112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6669","layer":4},{"info":"number node, value=8566","layer":4},{"info":"compute binary expreesion, left_input=6669, right_input=8566, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=3552","layer":4},{"info":"number node, value=5308","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=5308, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-17039","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-17039, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=827","layer":2},{"info":"number node, value=7095","layer":4},{"info":"compute unary expreesion, input=7095, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=6616","layer":4},{"info":"number node, value=4698","layer":4},{"info":"compute binary expreesion, left_input=6616, right_input=4698, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1918","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1918, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=827, right_input=1234, 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=1070","layer":4},{"info":"number node, value=8341","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=8341, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2140","layer":3},{"info":"number node, value=2704","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=2411, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22727","layer":3},{"info":"compute binary expreesion, left_input=2140, right_input=-22727, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50513⇻⋧≁↹⩛103354∘↹⩛24240≦↸↹⩛40324⨟⋌⩍(∜⨇↹⩛52503)⪬(↹⩛50344%↹⩛33430))∳⫺(⩏⊷≩(↹⩛4542⪒⊣⊆↹⩛102341⫔⩽⩺↹⩛20304⇤↹⩛15055))=↹⩛-1112","reverse_text":"↹⩛-1112=(↹⩛50513⇻⋧≁↹⩛103354∘↹⩛24240≦↸↹⩛40324⨟⋌⩍(∜⨇↹⩛52503)⪬(↹⩛50344%↹⩛33430))∳⫺(⩏⊷≩(↹⩛4542⪒⊣⊆↹⩛102341⫔⩽⩺↹⩛20304⇤↹⩛15055))","cot":[{"info":"↹⩛50513⇻⋧≁↹⩛103354=↹⩛-2023","layer":3},{"info":"↹⩛24240≦↸↹⩛40324=↹⩛-210515","layer":3},{"info":"↹⩛-2023∘↹⩛-210515=↹⩛3455","layer":2},{"info":"∜⨇↹⩛52503=NaN","layer":3},{"info":"↹⩛50344%↹⩛33430=↹⩛12514","layer":3},{"info":"NaN⪬↹⩛12514=↹⩛5414","layer":2},{"info":"↹⩛3455⨟⋌⩍↹⩛5414=NaN","layer":1},{"info":"↹⩛4542⪒⊣⊆↹⩛102341=↹⩛13524","layer":3},{"info":"↹⩛20304⇤↹⩛15055=↹⩛-253115","layer":3},{"info":"↹⩛13524⫔⩽⩺↹⩛-253115=NaN","layer":2},{"info":"⩏⊷≩NaN=NaN","layer":1},{"info":"NaN∳⫺NaN=↹⩛-1112","layer":0}]} +{"id":181,"expression_no_base_symbol":"(⪓⩚($1053$⇌⫙⪟$1642$)⇍⊗($1197$↸$1821$))⫿","expression":"(⪓⩚(↹⩛4513⇌⫙⪟↹⩛11334)⇍⊗(↹⩛5313↸↹⩛12233))⫿","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4623,"operation_count":5,"complexity_ratio":924.6,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1053,"base":6},"right_expr":{"type":"numeric_atoms","value":1642,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1197,"base":6},"right_expr":{"type":"numeric_atoms","value":1821,"base":6}}}}},"used_operators":["9tKT6PmtkH","u0R0Locfp2","5uvYHDjeKN","AFVx7xoS7T","1eCjFl0mb9"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"↹⩛1550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1642, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1821, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1197","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1197, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute unary expreesion, input=426, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=426","layer":0}],"base":6,"result_base":6,"text":"(⪓⩚(↹⩛4513⇌⫙⪟↹⩛11334)⇍⊗(↹⩛5313↸↹⩛12233))⫿=↹⩛1550","reverse_text":"↹⩛1550=(⪓⩚(↹⩛4513⇌⫙⪟↹⩛11334)⇍⊗(↹⩛5313↸↹⩛12233))⫿","cot":[{"info":"↹⩛4513⇌⫙⪟↹⩛11334=↹⩛305","layer":3},{"info":"↹⩛5313↸↹⩛12233=↹⩛5313","layer":3},{"info":"↹⩛305⇍⊗↹⩛5313=↹⩛-1044","layer":2},{"info":"⪓⩚↹⩛-1044=↹⩛1550","layer":1},{"info":"↹⩛1550⫿=↹⩛1550","layer":0}]} +{"id":182,"expression_no_base_symbol":"((⇋↷$2911$)⋅⇍(↨⩢⫨$1501$)∽($2407$↪⪝)⨪↰⇹($1465$∠↢$1134$))≚⋢","expression":"((⇋↷↹⩛21251)⋅⇍(↨⩢⫨↹⩛10541)∽(↹⩛15051↪⪝)⨪↰⇹(↹⩛10441∠↢↹⩛5130))≚⋢","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":895,"operation_count":8,"complexity_ratio":111.875,"tree":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2911,"base":6}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1501,"base":6}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2407,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1465,"base":6},"right_expr":{"type":"numeric_atoms","value":1134,"base":6}}}}},"used_operators":["MahUMFw56D","y4ImoPnbV5","AdZkA7nFnk","SWo3A1KBJH","Z5CJsN7DuW","tmPS8pqC7x","l07mrZUIn9","KbjG8mgYpV"],"dependent_operators":["3ViojmjbAp","NTOWxs364D","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rJVOvQCfKK","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"↹⩛-225","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":4},{"info":"compute unary expreesion, input=2911, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=23288","layer":3},{"info":"number node, value=1501","layer":4},{"info":"compute unary expreesion, input=1501, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=23288, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=2407","layer":4},{"info":"compute unary expreesion, input=2407, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=147265074","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1134, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-20654","layer":3},{"info":"compute binary expreesion, left_input=147265074, right_input=-20654, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":0}],"base":6,"result_base":6,"text":"((⇋↷↹⩛21251)⋅⇍(↨⩢⫨↹⩛10541)∽(↹⩛15051↪⪝)⨪↰⇹(↹⩛10441∠↢↹⩛5130))≚⋢=↹⩛-225","reverse_text":"↹⩛-225=((⇋↷↹⩛21251)⋅⇍(↨⩢⫨↹⩛10541)∽(↹⩛15051↪⪝)⨪↰⇹(↹⩛10441∠↢↹⩛5130))≚⋢","cot":[{"info":"⇋↷↹⩛21251=↹⩛255452","layer":3},{"info":"↨⩢⫨↹⩛10541=↹⩛0","layer":3},{"info":"↹⩛255452⋅⇍↹⩛0=↹⩛-34","layer":2},{"info":"↹⩛15051↪⪝=↹⩛22340222430","layer":3},{"info":"↹⩛10441∠↢↹⩛5130=↹⩛-235342","layer":3},{"info":"↹⩛22340222430⨪↰⇹↹⩛-235342=NaN","layer":2},{"info":"↹⩛-34∽NaN=NaN","layer":1},{"info":"NaN≚⋢=↹⩛-225","layer":0}]} +{"id":183,"expression_no_base_symbol":"≱⇩⩕(⩦⩻⨪(⊊≼∋$3831$)⊝⪿⪼(↘$1995$))","expression":"≱⇩⩕(⩦⩻⨪(⊊≼∋↹⩛25423)⊝⪿⪼(↘↹⩛13123))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3917,"operation_count":5,"complexity_ratio":783.4,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3831,"base":6}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1995,"base":6}}}}},"used_operators":["3DZMoQKiUl","2td37pGCOC","3Oe9XWJUTD","FWz7pXsQhA","LdNpr8hQHL"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","uFcxV4UQCh"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3831","layer":4},{"info":"compute unary expreesion, input=3831, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=35","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=35, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=3227","layer":2},{"info":"compute unary expreesion, input=3227, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3227","layer":1},{"info":"compute unary expreesion, input=3227, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":6,"result_base":6,"text":"≱⇩⩕(⩦⩻⨪(⊊≼∋↹⩛25423)⊝⪿⪼(↘↹⩛13123))=↹⩛305","reverse_text":"↹⩛305=≱⇩⩕(⩦⩻⨪(⊊≼∋↹⩛25423)⊝⪿⪼(↘↹⩛13123))","cot":[{"info":"⊊≼∋↹⩛25423=↹⩛-2023","layer":3},{"info":"↘↹⩛13123=↹⩛55","layer":3},{"info":"↹⩛-2023⊝⪿⪼↹⩛55=↹⩛22535","layer":2},{"info":"⩦⩻⨪↹⩛22535=↹⩛22535","layer":1},{"info":"≱⇩⩕↹⩛22535=↹⩛305","layer":0}]} +{"id":184,"expression_no_base_symbol":"(($2417$∝$4902$)∇⊂⋱(≸$1292$)∕⩚$3485$≁$8766$⨼⩣$3056$⩣⫁∢$3027$)≫≃","expression":"((↹⩛15105∝↹⩛34410)∇⊂⋱(≸↹⩛5552)∕⩚↹⩛24045≁↹⩛104330⨼⩣↹⩛22052⩣⫁∢↹⩛22003)≫≃","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19074,"operation_count":8,"complexity_ratio":2384.25,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2417,"base":6},"right_expr":{"type":"numeric_atoms","value":4902,"base":6}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1292,"base":6}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3485,"base":6},"right_expr":{"type":"numeric_atoms","value":8766,"base":6}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3056,"base":6},"right_expr":{"type":"numeric_atoms","value":3027,"base":6}}}}},"used_operators":["X99M06cbEe","z9ffQ9n5Zr","nhYeJWJD5X","cTDWOvIxvz","eOf03JbCpp","JxwMv5le6e","8N2wDY1A35","JDUIKTTSIa"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"↹⩛1551","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2417","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=4902, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2422","layer":3},{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=2422, right_input=58, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4298","layer":2},{"info":"number node, value=3485","layer":4},{"info":"number node, value=8766","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=8766, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=197183","layer":3},{"info":"number node, value=3056","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=3056, right_input=3027, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5951","layer":3},{"info":"compute binary expreesion, left_input=197183, right_input=-5951, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4298, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute unary expreesion, input=-487, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=427","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15105∝↹⩛34410)∇⊂⋱(≸↹⩛5552)∕⩚↹⩛24045≁↹⩛104330⨼⩣↹⩛22052⩣⫁∢↹⩛22003)≫≃=↹⩛1551","reverse_text":"↹⩛1551=((↹⩛15105∝↹⩛34410)∇⊂⋱(≸↹⩛5552)∕⩚↹⩛24045≁↹⩛104330⨼⩣↹⩛22052⩣⫁∢↹⩛22003)≫≃","cot":[{"info":"↹⩛15105∝↹⩛34410=↹⩛15114","layer":3},{"info":"≸↹⩛5552=↹⩛134","layer":3},{"info":"↹⩛15114∇⊂⋱↹⩛134=↹⩛31522","layer":2},{"info":"↹⩛24045≁↹⩛104330=↹⩛4120515","layer":3},{"info":"↹⩛22052⩣⫁∢↹⩛22003=↹⩛-43315","layer":3},{"info":"↹⩛4120515⨼⩣↹⩛-43315=NaN","layer":2},{"info":"↹⩛31522∕⩚NaN=↹⩛-2131","layer":1},{"info":"↹⩛-2131≫≃=↹⩛1551","layer":0}]} +{"id":185,"expression_no_base_symbol":"≇⪴(($2425$⨌↪)⊉↱≁$4501$⫣⪄⊒$1131$⊔(⇜$2507$⨼⩣$4071$))","expression":"≇⪴((↹⩛15121⨌↪)⊉↱≁↹⩛32501⫣⪄⊒↹⩛5123⊔(⇜↹⩛15335⨼⩣↹⩛30503))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1397,"operation_count":7,"complexity_ratio":199.57142857142858,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":2425,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4501,"base":6},"right_expr":{"type":"numeric_atoms","value":1131,"base":6}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2507,"base":6},"right_expr":{"type":"numeric_atoms","value":4071,"base":6}}}}},"used_operators":["zoVPnxeHJ3","E4l6HwMY31","w2P8NbNXyL","cWQsF5MvuD","RabNbG55vr","lFBm8KRb8F","JxwMv5le6e"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2425","layer":4},{"info":"compute unary expreesion, input=2425, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=4501","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=1131, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5910","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=-5910, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=30608","layer":2},{"info":"number node, value=2507","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=4071, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=30608, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≇⪴((↹⩛15121⨌↪)⊉↱≁↹⩛32501⫣⪄⊒↹⩛5123⊔(⇜↹⩛15335⨼⩣↹⩛30503))=NaN","reverse_text":"NaN=≇⪴((↹⩛15121⨌↪)⊉↱≁↹⩛32501⫣⪄⊒↹⩛5123⊔(⇜↹⩛15335⨼⩣↹⩛30503))","cot":[{"info":"↹⩛15121⨌↪=↹⩛-2120","layer":3},{"info":"↹⩛32501⫣⪄⊒↹⩛5123=↹⩛-43210","layer":3},{"info":"↹⩛-2120⊉↱≁↹⩛-43210=↹⩛353412","layer":2},{"info":"↹⩛15335⨼⩣↹⩛30503=NaN","layer":3},{"info":"⇜NaN=NaN","layer":2},{"info":"↹⩛353412⊔NaN=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]} +{"id":186,"expression_no_base_symbol":"(($2183$∛$3472$)⪬($1540$∠⫱$7619$)↬(⋎⨆(⊿$3441$)))⨸(($1208$⩦$5418$∙⊟$1932$⫁⪎$5361$)≠≀($4049$⊔$8791$)⊝⪿⪼$4705$∣$4516$)","expression":"((↹⩛14035∛↹⩛24024)⪬(↹⩛11044∠⫱↹⩛55135)↬(⋎⨆(⊿↹⩛23533)))⨸((↹⩛5332⩦↹⩛41030∙⊟↹⩛12540⫁⪎↹⩛40453)≠≀(↹⩛30425⊔↹⩛104411)⊝⪿⪼↹⩛33441∣↹⩛32524)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3616,"operation_count":14,"complexity_ratio":258.2857142857143,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2183,"base":6},"right_expr":{"type":"numeric_atoms","value":3472,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1540,"base":6},"right_expr":{"type":"numeric_atoms","value":7619,"base":6}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3441,"base":6}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1208,"base":6},"right_expr":{"type":"numeric_atoms","value":5418,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1932,"base":6},"right_expr":{"type":"numeric_atoms","value":5361,"base":6}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4049,"base":6},"right_expr":{"type":"numeric_atoms","value":8791,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4705,"base":6},"right_expr":{"type":"numeric_atoms","value":4516,"base":6}}}}},"used_operators":["KmoU8R5UQR","B5M0gjZbta","Ez1Nq5fNfI","w2537kitQq","QvoQhV0rrE","E64sFOc4tB","DO4fhlbJSI","IwW236VD4Y","SxTAKzQCrw","0kmYd0q39Y","xRrnTEsQ6j","3Oe9XWJUTD","E4l6HwMY31","PPChnnnBFF"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rGHVDoGpnC","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2183","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=3472, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1540","layer":4},{"info":"number node, value=7619","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=7619, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=3441","layer":4},{"info":"compute unary expreesion, input=3441, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-14502","layer":3},{"info":"compute unary expreesion, input=-14502, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=8320752, 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=1208","layer":4},{"info":"number node, value=5418","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=5418, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2416","layer":3},{"info":"number node, value=1932","layer":4},{"info":"number node, value=5361","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=5361, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3429","layer":3},{"info":"compute binary expreesion, left_input=2416, right_input=-3429, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=41254","layer":2},{"info":"number node, value=4049","layer":4},{"info":"number node, value=8791","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=8791, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=49653","layer":3},{"info":"number node, value=4705","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=4516, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4705","layer":3},{"info":"compute binary expreesion, left_input=49653, right_input=4705, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=645923","layer":2},{"info":"compute binary expreesion, left_input=41254, right_input=645923, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-82202","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-82202, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14035∛↹⩛24024)⪬(↹⩛11044∠⫱↹⩛55135)↬(⋎⨆(⊿↹⩛23533)))⨸((↹⩛5332⩦↹⩛41030∙⊟↹⩛12540⫁⪎↹⩛40453)≠≀(↹⩛30425⊔↹���104411)⊝⪿⪼↹⩛33441∣↹⩛32524)=NaN","reverse_text":"NaN=((↹⩛14035∛↹⩛24024)⪬(↹⩛11044∠⫱↹⩛55135)↬(⋎⨆(⊿↹⩛23533)))⨸((↹⩛5332⩦↹⩛41030∙⊟↹⩛12540⫁⪎↹⩛40453)≠≀(↹⩛30425⊔↹⩛104411)⊝⪿⪼↹⩛33441∣↹⩛32524)","cot":[{"info":"↹⩛14035∛↹⩛24024=↹⩛-3034","layer":3},{"info":"↹⩛11044∠⫱↹⩛55135=↹⩛5414","layer":3},{"info":"↹⩛-3034⪬↹⩛5414=↹⩛5414","layer":2},{"info":"⊿↹⩛23533=↹⩛-151050","layer":3},{"info":"⋎⨆↹⩛-151050=↹⩛454202000","layer":2},{"info":"↹⩛5414↬↹⩛454202000=NaN","layer":1},{"info":"↹⩛5332⩦↹⩛41030=↹⩛15104","layer":3},{"info":"↹⩛12540⫁⪎↹⩛40453=↹⩛-23513","layer":3},{"info":"↹⩛15104∙⊟↹⩛-23513=↹⩛514554","layer":2},{"info":"↹⩛30425⊔↹⩛104411=↹⩛1021513","layer":3},{"info":"↹⩛33441∣↹⩛32524=↹⩛33441","layer":3},{"info":"↹⩛1021513⊝⪿⪼↹⩛33441=↹⩛21502215","layer":2},{"info":"↹⩛514554≠≀↹⩛21502215=↹⩛-1432322","layer":1},{"info":"NaN⨸↹⩛-1432322=NaN","layer":0}]} +{"id":187,"expression_no_base_symbol":"(↩($5239$⩍⋽⫝̸$3524$⫃⨇$2328$≧⫂∧$3501$))⫰⋱($1649$⩧⪆$4744$∐⫣)⨓(($1008$⪨≂$1452$)∑⇟⊟($2305$∝$5341$))","expression":"(↩(↹⩛40131⩍⋽⫝̸↹⩛24152⫃⨇↹⩛14440≧⫂∧↹⩛24113))⫰⋱(↹⩛11345⩧⪆↹⩛33544∐⫣)⨓((↹⩛4400⪨≂↹⩛10420)∑⇟⊟(↹⩛14401∝↹⩛40421))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":76,"operation_count":11,"complexity_ratio":6.909090909090909,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5239,"base":6},"right_expr":{"type":"numeric_atoms","value":3524,"base":6}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2328,"base":6},"right_expr":{"type":"numeric_atoms","value":3501,"base":6}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1649,"base":6},"right_expr":{"type":"numeric_atoms","value":4744,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1008,"base":6},"right_expr":{"type":"numeric_atoms","value":1452,"base":6}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2305,"base":6},"right_expr":{"type":"numeric_atoms","value":5341,"base":6}}}}},"used_operators":["6o9Blt3TJ6","jLgFTUHLKL","09Ly4LVMIf","BiWNJpBvwn","Ph9nP6C5qx","3ViojmjbAp","4CyGpkTkEk","Ikt5ks8PT7","U7g4x0WXJJ","sdazOOVcIp","cTDWOvIxvz"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","eewbuw0ToL","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5239","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=3524, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2578","layer":3},{"info":"number node, value=2328","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=3501, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3028","layer":3},{"info":"compute binary expreesion, left_input=2578, right_input=3028, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-12144","layer":2},{"info":"compute unary expreesion, input=-12144, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=51196","layer":1},{"info":"number node, value=1649","layer":4},{"info":"number node, value=4744","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=4744, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4744","layer":3},{"info":"compute unary expreesion, input=-4744, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1452, 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=-786","layer":3},{"info":"number node, value=2305","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=5341, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2310","layer":3},{"info":"compute binary expreesion, left_input=-786, right_input=2310, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=551, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=51196, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↩(↹⩛40131⩍⋽⫝̸↹⩛24152⫃⨇↹⩛14440≧⫂∧↹⩛24113))⫰⋱(↹⩛11345⩧⪆↹⩛33544∐⫣)⨓((↹⩛4400⪨≂↹⩛10420)∑⇟⊟(↹⩛14401∝↹⩛40421))=NaN","reverse_text":"NaN=(↩(↹⩛40131⩍⋽⫝̸↹⩛24152⫃⨇↹⩛14440≧⫂∧↹⩛24113))⫰⋱(↹⩛11345⩧⪆↹⩛33544∐⫣)⨓((↹⩛4400⪨≂↹⩛10420)∑⇟⊟(↹⩛14401∝↹⩛40421))","cot":[{"info":"↹⩛40131⩍⋽⫝̸↹⩛24152=↹⩛15534","layer":3},{"info":"↹⩛14440≧⫂∧↹⩛24113=↹⩛22004","layer":3},{"info":"↹⩛15534⫃⨇↹⩛22004=↹⩛-132120","layer":2},{"info":"↩↹⩛-132120=↹⩛1033004","layer":1},{"info":"↹⩛11345⩧⪆↹⩛33544=↹⩛-33544","layer":3},{"info":"↹⩛-33544∐⫣=↹⩛2315","layer":2},{"info":"↹⩛4400⪨≂↹⩛10420=↹⩛-3350","layer":3},{"info":"↹⩛14401∝↹⩛40421=↹⩛14410","layer":3},{"info":"↹⩛-3350∑⇟⊟↹⩛14410=NaN","layer":2},{"info":"↹⩛2315⨓NaN=NaN","layer":1},{"info":"↹⩛1033004⫰⋱NaN=NaN","layer":0}]} +{"id":188,"expression_no_base_symbol":"((↥≼⋛$1320$⨪↰⇹$1838$)≋⫹)≓∲(↯⪼(⩦⊞$1375$⨼⩣$3378$))","expression":"((↥≼⋛↹⩛10040⨪↰⇹↹⩛12302)≋⫹)≓∲(↯⪼(⩦⊞↹⩛10211⨼⩣↹⩛23350))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1776,"operation_count":7,"complexity_ratio":253.71428571428572,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1320,"base":6},"right_expr":{"type":"numeric_atoms","value":1838,"base":6}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1375,"base":6},"right_expr":{"type":"numeric_atoms","value":3378,"base":6}}}}},"used_operators":["s1XTVnmDOJ","N41Kp7NANJ","x5lMkHmzsq","tmPS8pqC7x","8jW3W4yZS5","u7fv1HBiaC","JxwMv5le6e"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"↹⩛-131215","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1838, 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=1320","layer":3},{"info":"compute unary expreesion, input=1320, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=226","layer":1},{"info":"number node, value=1375","layer":4},{"info":"number node, value=3378","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=3378, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=226, right_input=-21, 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=-11963","layer":0}],"base":6,"result_base":6,"text":"((↥≼⋛↹⩛10040⨪↰⇹↹⩛12302)≋⫹)≓∲(↯⪼(⩦⊞↹⩛10211⨼⩣↹⩛23350))=↹⩛-131215","reverse_text":"↹⩛-131215=((↥≼⋛↹⩛10040⨪↰⇹↹⩛12302)≋⫹)≓∲(↯⪼(⩦⊞↹⩛10211⨼⩣↹⩛23350))","cot":[{"info":"↹⩛10040⨪↰⇹↹⩛12302=↹⩛10040","layer":3},{"info":"↥≼⋛↹⩛10040=↹⩛-305","layer":2},{"info":"↹⩛-305≋⫹=↹⩛1014","layer":1},{"info":"↹⩛10211⨼⩣↹⩛23350=NaN","layer":3},{"info":"⩦⊞NaN=NaN","layer":2},{"info":"↯⪼NaN=↹⩛-33","layer":1},{"info":"↹⩛1014≓∲↹⩛-33=↹⩛-131215","layer":0}]} +{"id":189,"expression_no_base_symbol":"(($5845$≒∊$1092$)⊴($1848$⪨≂$2849$))∣($1335$⨻⩈⩔$1890$⨓($1630$⇴∐$8590$))∠↢((⇜(⇨$5802$))↛⩡⫤)","expression":"((↹⩛43021≒∊↹⩛5020)⊴(↹⩛12320⪨≂↹⩛21105))∣(↹⩛10103⨻⩈⩔↹⩛12430⨓(↹⩛11314⇴∐↹⩛103434))∠↢((⇜(⇨↹⩛42510))↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5813,"operation_count":11,"complexity_ratio":528.4545454545455,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5845,"base":6},"right_expr":{"type":"numeric_atoms","value":1092,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1848,"base":6},"right_expr":{"type":"numeric_atoms","value":2849,"base":6}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1335,"base":6},"right_expr":{"type":"numeric_atoms","value":1890,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1630,"base":6},"right_expr":{"type":"numeric_atoms","value":8590,"base":6}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5802,"base":6}}}}},"used_operators":["KbjG8mgYpV","PPChnnnBFF","Nsiff2A1zJ","5KTvxBwnZo","sdazOOVcIp","3ViojmjbAp","nEsXyWgiOK","HnzytWxmAO","FU0Cs4j7VP","lFBm8KRb8F","G9tJMlZ94a"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5845","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=1092, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5361","layer":3},{"info":"number node, value=1848","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=2849, 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=-1900","layer":3},{"info":"compute binary expreesion, left_input=-5361, right_input=-1900, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1890, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=1630","layer":4},{"info":"number node, value=8590","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=8590, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=5802","layer":4},{"info":"compute unary expreesion, input=5802, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"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":2},{"info":"compute unary expreesion, input=232, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-31121","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-31121, 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":6,"result_base":6,"text":"((↹⩛43021≒∊↹⩛5020)⊴(↹⩛12320⪨≂↹⩛21105))∣(↹⩛10103⨻⩈⩔↹⩛12430⨓(↹⩛11314⇴∐↹⩛103434))∠↢((⇜(⇨↹⩛42510))↛⩡⫤)=NaN","reverse_text":"NaN=((↹⩛43021≒∊↹⩛5020)⊴(↹⩛12320⪨≂↹⩛21105))∣(↹⩛10103⨻⩈⩔↹⩛12430⨓(↹⩛11314⇴∐↹⩛103434))∠↢((⇜(⇨↹⩛42510))↛⩡⫤)","cot":[{"info":"↹⩛43021≒∊↹⩛5020=↹⩛-40453","layer":3},{"info":"↹⩛12320⪨≂↹⩛21105=↹⩛-12444","layer":3},{"info":"↹⩛-40453⊴↹⩛-12444=NaN","layer":2},{"info":"↹⩛10103⨻⩈⩔↹⩛12430=↹⩛-450","layer":3},{"info":"↹⩛11314⇴∐↹⩛103434=NaN","layer":3},{"info":"↹⩛-450⨓NaN=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"⇨↹⩛42510=↹⩛0","layer":3},{"info":"⇜↹⩛0=↹⩛1024","layer":2},{"info":"↹⩛1024↛⩡⫤=↹⩛-400025","layer":1},{"info":"NaN∠↢↹⩛-400025=NaN","layer":0}]} +{"id":190,"expression_no_base_symbol":"(($5050$⨒$5493$↛⩡⫤)⨒($8143$⩁⩘$3557$)⇻⋧≁($3762$⪟⇏$2506$))↙(⫇($1082$%$6393$))⪒⊣⊆(($4832$⩘)≬⋮$5600$∌$1766$)","expression":"((↹⩛35214⨒↹⩛41233↛⩡⫤)⨒(↹⩛101411⩁⩘↹⩛24245)⇻⋧≁(↹⩛25230⪟⇏↹⩛15334))↙(⫇(↹⩛5002%↹⩛45333))⪒⊣⊆((↹⩛34212⩘)≬⋮↹⩛41532∌↹⩛12102)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":105270,"operation_count":13,"complexity_ratio":8097.692307692308,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5050,"base":6},"right_expr":{"type":"numeric_atoms","value":5493,"base":6}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8143,"base":6},"right_expr":{"type":"numeric_atoms","value":3557,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3762,"base":6},"right_expr":{"type":"numeric_atoms","value":2506,"base":6}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1082,"base":6},"right_expr":{"type":"numeric_atoms","value":6393,"base":6}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":4832,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5600,"base":6},"right_expr":{"type":"numeric_atoms","value":1766,"base":6}}}}},"used_operators":["yyfyN0ffXY","y75s1iXyHd","FU0Cs4j7VP","jCPkEVoL5K","gub5Cegaqo","GODebY97qR","eRqsBgTDFp","YjI8oCXuph","k8jYdgA6NY","kbkesczE7y","wvHyciQT5X","8cLx32lpNA"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","IWmyXbctLI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9ICcGScMcE","dfKe02y8D2","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5050","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=5493, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-29928","layer":3},{"info":"compute unary expreesion, input=-29928, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰���(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1904","layer":2},{"info":"number node, value=8143","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=8143, right_input=3557, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15176","layer":3},{"info":"number node, value=3762","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=2506, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=15176, right_input=-1, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=1904, right_input=-447, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=6393, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1082","layer":3},{"info":"compute unary expreesion, input=1082, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-950","layer":2},{"info":"number node, value=4832","layer":4},{"info":"compute unary expreesion, input=4832, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=5600","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=5600, right_input=1766, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1766","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1766, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-950, right_input=868, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3738","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3738, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛35214⨒↹⩛41233↛⩡⫤)⨒(↹⩛101411⩁⩘↹⩛24245)⇻⋧≁(↹⩛25230⪟⇏↹⩛15334))↙(⫇(↹⩛5002%↹⩛45333))⪒⊣⊆((↹⩛34212⩘)≬⋮↹⩛41532∌↹⩛12102)=↹⩛0","reverse_text":"↹⩛0=((↹⩛35214⨒↹⩛41233↛⩡⫤)⨒(↹⩛101411⩁⩘↹⩛24245)⇻⋧≁(↹⩛25230⪟⇏↹⩛15334))↙(⫇(↹⩛5002%↹⩛45333))⪒⊣⊆((↹⩛34212⩘)≬⋮↹⩛41532∌↹⩛12102)","cot":[{"info":"↹⩛35214⨒↹⩛41233=↹⩛-350320","layer":3},{"info":"↹⩛-350320↛⩡⫤=↹⩛12452","layer":2},{"info":"↹⩛101411⩁⩘↹⩛24245=↹⩛154132","layer":3},{"info":"↹⩛25230⪟⇏↹⩛15334=↹⩛-1","layer":3},{"info":"↹⩛154132⇻⋧≁↹⩛-1=↹⩛-2023","layer":2},{"info":"↹⩛12452⨒↹⩛-2023=↹⩛0","layer":1},{"info":"↹⩛5002%↹⩛45333=↹⩛5002","layer":3},{"info":"⫇↹⩛5002=↹⩛-4222","layer":2},{"info":"↹⩛34212⩘=↹⩛151","layer":3},{"info":"↹⩛41532∌↹⩛12102=↹⩛-12102","layer":3},{"info":"↹⩛151≬⋮↹⩛-12102=↹⩛4004","layer":2},{"info":"↹⩛-4222⪒⊣⊆↹⩛4004=↹⩛25150","layer":1},{"info":"↹⩛0↙↹⩛25150=↹⩛0","layer":0}]} +{"id":191,"expression_no_base_symbol":"(($2204$⫭)⪔($3407$⫌⩉⩟$1266$)↡⊰⫅($2264$⫡⨏$4254$)∼$1523$⫁$4941$)⨻⩈⩔((⨞⊢$2092$⫥∨⫟$1332$)⇴∐(∓($1818$⨐⩸⫘$1796$)))","expression":"((↹⩛14112⫭)⪔(↹⩛23435⫌⩉⩟↹⩛5510)↡⊰⫅(↹⩛14252⫡⨏↹⩛31410)∼↹⩛11015⫁↹⩛34513)⨻⩈⩔((⨞⊢↹⩛13404⫥∨⫟↹⩛10100)⇴∐(∓(↹⩛12230⨐⩸⫘↹⩛12152)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10482,"operation_count":13,"complexity_ratio":806.3076923076923,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2204,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3407,"base":6},"right_expr":{"type":"numeric_atoms","value":1266,"base":6}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2264,"base":6},"right_expr":{"type":"numeric_atoms","value":4254,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1523,"base":6},"right_expr":{"type":"numeric_atoms","value":4941,"base":6}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2092,"base":6},"right_expr":{"type":"numeric_atoms","value":1332,"base":6}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1818,"base":6},"right_expr":{"type":"numeric_atoms","value":1796,"base":6}}}}},"used_operators":["nEsXyWgiOK","VCtxkLNOzz","GjBEYRfMaF","t4WUHVGj7f","XIIwhv8d0m","DyGG3AbaNP","QMFrweE19q","0ajvFaJAv0","HnzytWxmAO","xUOZtlo3hN","KYD54nUTWz","OwUj7dcsQK","fu6greOZ01"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2204","layer":4},{"info":"compute unary expreesion, input=2204, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=6853","layer":3},{"info":"number node, value=3407","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=1266, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=6853, right_input=-50, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2264","layer":4},{"info":"number node, value=4254","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=4254, 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=20611","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=4941","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=4941, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=20611, right_input=160, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":1},{"info":"number node, value=2092","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=1332, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1818","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=1796, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14112⫭)⪔(↹⩛23435⫌⩉⩟↹⩛5510)↡⊰⫅(↹⩛14252⫡⨏↹⩛31410)∼↹⩛11015⫁↹⩛34513)⨻⩈⩔((⨞⊢↹⩛13404⫥∨⫟↹⩛10100)⇴∐(∓(↹⩛12230⨐⩸⫘↹⩛12152)))=NaN","reverse_text":"NaN=((↹⩛14112⫭)⪔(↹⩛23435⫌⩉⩟↹⩛5510)↡⊰⫅(↹⩛14252⫡⨏↹⩛31410)∼↹⩛11015⫁↹⩛34513)⨻⩈⩔((⨞⊢↹⩛13404⫥∨⫟↹⩛10100)⇴∐(∓(↹⩛12230⨐⩸⫘↹⩛12152)))","cot":[{"info":"↹⩛14112⫭=↹⩛51421","layer":3},{"info":"↹⩛23435⫌⩉⩟↹⩛5510=↹⩛-122","layer":3},{"info":"↹⩛51421⪔↹⩛-122=↹⩛2030","layer":2},{"info":"↹⩛14252⫡⨏↹⩛31410=↹⩛235231","layer":3},{"info":"↹⩛11015⫁↹⩛34513=↹⩛424","layer":3},{"info":"↹⩛235231∼↹⩛424=↹⩛0","layer":2},{"info":"↹⩛2030↡⊰⫅↹⩛0=↹⩛0","layer":1},{"info":"↹⩛13404⫥∨⫟↹⩛10100=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"↹⩛12230⨐⩸⫘↹⩛12152=NaN","layer":3},{"info":"∓NaN=NaN","layer":2},{"info":"NaN⇴∐NaN=NaN","layer":1},{"info":"↹⩛0⨻⩈⩔NaN=NaN","layer":0}]} +{"id":192,"expression_no_base_symbol":"(($5818$⫲≸⪮$1239$⨰$5804$⩦$1405$)⩘((⇾⩊⇾$3379$)≎⊠⪸($4362$/$3294$)))∇⊂⋱(($7381$⫯⪬∳$1083$)⨑⩅≇($3461$⫲≸⪮$4052$)⪁($1243$⪕$2308$)⊴(≋$6442$))","expression":"((↹⩛42534⫲≸⪮↹⩛5423⨰↹⩛42512⩦↹⩛10301)⩘((⇾⩊⇾↹⩛23351)≎⊠⪸(↹⩛32110/↹⩛23130)))∇⊂⋱((↹⩛54101⫯⪬∳↹⩛5003)⨑⩅≇(↹⩛24005⫲≸⪮↹⩛30432)⪁(↹⩛5431⪕↹⩛14404)⊴(≋↹⩛45454))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":144609,"operation_count":15,"complexity_ratio":9640.6,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5818,"base":6},"right_expr":{"type":"numeric_atoms","value":1239,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5804,"base":6},"right_expr":{"type":"numeric_atoms","value":1405,"base":6}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3379,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4362,"base":6},"right_expr":{"type":"numeric_atoms","value":3294,"base":6}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":7381,"base":6},"right_expr":{"type":"numeric_atoms","value":1083,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3461,"base":6},"right_expr":{"type":"numeric_atoms","value":4052,"base":6}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1243,"base":6},"right_expr":{"type":"numeric_atoms","value":2308,"base":6}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":6442,"base":6}}}}},"used_operators":["nhYeJWJD5X","cHh1gJQ2o6","eewbuw0ToL","P3lXMJvFrc","0kmYd0q39Y","bJkvcejdHO","bx9Z9DAK5y","XhwjNDsVaA","I7sXao9hZE","h92wMvzauj","d7ASUq0ydm","Nsiff2A1zJ","umQnsF7QlU","61wBmkZwlr"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","14qkJME0vr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","7j4O788W3g"],"result":"↹⩛-1014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5818","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=5818, right_input=1239, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5818","layer":3},{"info":"number node, value=5804","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=5804, right_input=1405, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=11608","layer":3},{"info":"compute binary expreesion, left_input=5818, right_input=11608, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5780","layer":2},{"info":"number node, value=3379","layer":4},{"info":"compute unary expreesion, input=3379, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-36897","layer":3},{"info":"number node, value=4362","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=3294, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-36897, right_input=1, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=9556323","layer":2},{"info":"compute binary expreesion, left_input=-5780, right_input=9556323, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=7381","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=7381, right_input=1083, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=35855","layer":3},{"info":"number node, value=3461","layer":4},{"info":"number node, value=4052","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=4052, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3461","layer":3},{"info":"compute binary expreesion, left_input=35855, right_input=3461, 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=-107565","layer":2},{"info":"number node, value=1243","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=2308, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1079","layer":3},{"info":"number node, value=6442","layer":4},{"info":"compute unary expreesion, input=6442, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=6442","layer":3},{"info":"compute binary expreesion, left_input=1079, right_input=6442, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-107565, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":0}],"base":6,"result_base":6,"text":"((↹⩛42534⫲≸⪮↹⩛5423⨰↹⩛42512⩦↹⩛10301)⩘((⇾⩊⇾↹⩛23351)≎⊠⪸(↹⩛32110/↹⩛23130)))∇⊂⋱((↹⩛54101⫯⪬∳↹⩛5003)⨑⩅≇(↹⩛24005⫲≸⪮↹⩛30432)⪁(↹⩛5431⪕↹⩛14404)⊴(≋↹⩛45454))=↹⩛-1014","reverse_text":"↹⩛-1014=((↹⩛42534⫲≸⪮↹⩛5423⨰↹⩛42512⩦↹⩛10301)⩘((⇾⩊⇾↹⩛23351)≎⊠⪸(↹⩛32110/↹⩛23130)))∇⊂⋱((↹⩛54101⫯⪬∳↹⩛5003)⨑⩅≇(↹⩛24005⫲≸⪮↹⩛30432)⪁(↹⩛5431⪕↹⩛14404)⊴(≋↹⩛45454))","cot":[{"info":"↹⩛42534⫲≸⪮↹⩛5423=↹⩛42534","layer":3},{"info":"↹⩛42512⩦↹⩛10301=↹⩛125424","layer":3},{"info":"↹⩛42534⨰↹⩛125424=↹⩛-42432","layer":2},{"info":"⇾⩊⇾↹⩛23351=↹⩛-442453","layer":3},{"info":"↹⩛32110/↹⩛23130=↹⩛1","layer":3},{"info":"↹⩛-442453≎⊠⪸↹⩛1=↹⩛540454123","layer":2},{"info":"↹⩛-42432⩘↹⩛540454123=↹⩛424","layer":1},{"info":"↹⩛54101⫯⪬∳↹⩛5003=↹⩛433555","layer":3},{"info":"↹⩛24005⫲≸⪮↹⩛30432=↹⩛24005","layer":3},{"info":"↹⩛433555⨑⩅≇↹⩛24005=↹⩛-2145553","layer":2},{"info":"↹⩛5431⪕↹⩛14404=↹⩛4555","layer":3},{"info":"≋↹⩛45454=↹⩛45454","layer":3},{"info":"↹⩛4555⊴↹⩛45454=NaN","layer":2},{"info":"↹⩛-2145553⪁NaN=NaN","layer":1},{"info":"↹⩛424∇⊂⋱NaN=↹⩛-1014","layer":0}]} +{"id":193,"expression_no_base_symbol":"((⊥($5124$⪉⨛$2086$))↱($1918$⫲≸⪮$5464$⩹$1096$⪝$1197$))≝⊿(($3393$∕⩚$5451$)⪛$1944$⊕∕$3290$⇮⋭($2514$∛$1460$)⨽∌($1812$≝⊿$1884$))","expression":"((⊥(↹⩛35420⪉⨛↹⩛13354))↱(↹⩛12514⫲≸⪮↹⩛41144⩹↹⩛5024⪝↹⩛5313))≝⊿((↹⩛23413∕⩚↹⩛41123)⪛↹⩛13000⊕∕↹⩛23122⇮⋭(↹⩛15350∛↹⩛10432)⨽∌(↹⩛12220≝⊿↹⩛12420))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6096,"operation_count":14,"complexity_ratio":435.42857142857144,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5124,"base":6},"right_expr":{"type":"numeric_atoms","value":2086,"base":6}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1918,"base":6},"right_expr":{"type":"numeric_atoms","value":5464,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1096,"base":6},"right_expr":{"type":"numeric_atoms","value":1197,"base":6}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3393,"base":6},"right_expr":{"type":"numeric_atoms","value":5451,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1944,"base":6},"right_expr":{"type":"numeric_atoms","value":3290,"base":6}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2514,"base":6},"right_expr":{"type":"numeric_atoms","value":1460,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1812,"base":6},"right_expr":{"type":"numeric_atoms","value":1884,"base":6}}}}},"used_operators":["OKKcZfAt5B","SR5kFfdi6N","Q3PJZHRvZv","EWw2JM7wp4","2Wsdkap16l","P3lXMJvFrc","wicAB68Tmb","vkpjKywKVM","uFcxV4UQCh","z9ffQ9n5Zr","9cloC0Ngie","9samAPKr6k","w2537kitQq"],"dependent_operators":["12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","fu6greOZ01","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"↹⩛-205055","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5124","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=5124, right_input=2086, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13501","layer":3},{"info":"compute unary expreesion, input=13501, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1918","layer":4},{"info":"number node, value=5464","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=5464, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1918","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1197, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=1918, right_input=237, 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=235","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=235, 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=17080","layer":1},{"info":"number node, value=3393","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=5451, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3396","layer":3},{"info":"number node, value=1944","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=3290, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1944","layer":3},{"info":"compute binary expreesion, left_input=-3396, right_input=1944, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=492","layer":2},{"info":"number node, value=2514","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=1460, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1812","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=1884, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6113","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-6113, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=492, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=17080, right_input=-473, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16667","layer":0}],"base":6,"result_base":6,"text":"((⊥(↹⩛35420⪉⨛↹⩛13354))↱(↹⩛12514⫲≸⪮↹⩛41144⩹↹⩛5024⪝↹⩛5313))≝⊿((↹⩛23413∕⩚↹⩛41123)⪛↹⩛13000⊕∕↹⩛23122⇮⋭(↹⩛15350∛↹⩛10432)⨽∌(↹⩛12220≝⊿↹⩛12420))=↹⩛-205055","reverse_text":"↹⩛-205055=((⊥(↹⩛35420⪉⨛↹⩛13354))↱(↹⩛12514⫲≸⪮↹⩛41144⩹↹⩛5024⪝↹⩛5313))≝⊿((↹⩛23413∕⩚↹⩛41123)⪛↹⩛13000⊕∕↹⩛23122⇮⋭(↹⩛15350∛↹⩛10432)⨽∌(↹⩛12220≝⊿↹⩛12420))","cot":[{"info":"↹⩛35420⪉⨛↹⩛13354=↹⩛142301","layer":3},{"info":"⊥↹⩛142301=NaN","layer":2},{"info":"↹⩛12514⫲≸⪮↹⩛41144=↹⩛12514","layer":3},{"info":"↹⩛5024⪝↹⩛5313=↹⩛1033","layer":3},{"info":"↹⩛12514⩹↹⩛1033=↹⩛1031","layer":2},{"info":"NaN↱↹⩛1031=↹⩛211024","layer":1},{"info":"↹⩛23413∕⩚↹⩛41123=↹⩛-23420","layer":3},{"info":"↹⩛13000⊕∕↹⩛23122=↹⩛13000","layer":3},{"info":"↹⩛-23420⪛↹⩛13000=↹⩛2140","layer":2},{"info":"↹⩛15350∛↹⩛10432=↹⩛151","layer":3},{"info":"↹⩛12220≝⊿↹⩛12420=↹⩛-44145","layer":3},{"info":"↹⩛151⨽∌↹⩛-44145=↹⩛0","layer":2},{"info":"↹⩛2140⇮⋭↹⩛0=↹⩛-2105","layer":1},{"info":"↹⩛211024≝⊿↹⩛-2105=↹⩛-205055","layer":0}]} +{"id":194,"expression_no_base_symbol":"($2992$↞⋁$4582$∖(∂$2696$))≨(⪛⨧$3933$⪬$1538$)⨻⩈⩔(⩰(⊵⊁($6117$⨰$2138$)))","expression":"(↹⩛21504↞⋁↹⩛33114∖(∂↹⩛20252))≨(⪛⨧↹⩛30113⪬↹⩛11042)⨻⩈⩔(⩰(⊵⊁(↹⩛44153⨰↹⩛13522)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1122,"operation_count":10,"complexity_ratio":112.2,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2992,"base":6},"right_expr":{"type":"numeric_atoms","value":4582,"base":6}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2696,"base":6}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3933,"base":6},"right_expr":{"type":"numeric_atoms","value":1538,"base":6}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6117,"base":6},"right_expr":{"type":"numeric_atoms","value":2138,"base":6}}}}},"used_operators":["nEsXyWgiOK","0KMCeP1Jsh","tXD093vOjl","RqrPlJkxDo","Uaa54Peajs","6NJAcO2OWT","Ez1Nq5fNfI","WkeUrDK8WX","AvED76WdY7","eewbuw0ToL"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛124451","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2992","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=4582, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2696","layer":4},{"info":"compute unary expreesion, input=2696, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=3933","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=1538, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬���a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3869","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3869, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":1},{"info":"number node, value=6117","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=6117, right_input=2138, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3989","layer":3},{"info":"compute unary expreesion, input=3989, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=22864","layer":2},{"info":"compute unary expreesion, input=22864, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-23864","layer":1},{"info":"compute binary expreesion, left_input=2476, right_input=-23864, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=11407","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21504↞⋁↹⩛33114∖(∂↹⩛20252))≨(⪛⨧↹⩛30113⪬↹⩛11042)⨻⩈⩔(⩰(⊵⊁(↹⩛44153⨰↹⩛13522)))=↹⩛124451","reverse_text":"↹⩛124451=(↹⩛21504↞⋁↹⩛33114∖(∂↹⩛20252))≨(⪛⨧↹⩛30113⪬↹⩛11042)⨻⩈⩔(⩰(⊵⊁(↹⩛44153⨰↹⩛13522)))","cot":[{"info":"↹⩛21504↞⋁↹⩛33114=NaN","layer":3},{"info":"∂↹⩛20252=NaN","layer":3},{"info":"NaN∖NaN=↹⩛0","layer":2},{"info":"↹⩛30113⪬↹⩛11042=↹⩛5414","layer":3},{"info":"⪛⨧↹⩛5414=↹⩛25525","layer":2},{"info":"↹⩛0≨↹⩛25525=↹⩛15244","layer":1},{"info":"↹⩛44153⨰↹⩛13522=↹⩛30245","layer":3},{"info":"⊵⊁↹⩛30245=↹⩛253504","layer":2},{"info":"⩰↹⩛253504=↹⩛-302252","layer":1},{"info":"↹⩛15244⨻⩈⩔↹⩛-302252=↹⩛124451","layer":0}]} +{"id":195,"expression_no_base_symbol":"(($5885$⫥∨⫟$2261$)⋛($1233$⪕$9931$))∥⊢⊲(⨛(≪$4837$))∌(($1433$⇡⇂$1739$⊭∹↮)↑)","expression":"((↹⩛43125⫥∨⫟↹⩛14245)⋛(↹⩛5413⪕↹⩛113551))∥⊢⊲(⨛(≪↹⩛34221))∌((↹⩛10345⇡⇂↹⩛12015⊭∹↮)↑)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8980,"operation_count":10,"complexity_ratio":898.0,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5885,"base":6},"right_expr":{"type":"numeric_atoms","value":2261,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1233,"base":6},"right_expr":{"type":"numeric_atoms","value":9931,"base":6}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":4837,"base":6}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1433,"base":6},"right_expr":{"type":"numeric_atoms","value":1739,"base":6}}}}},"used_operators":["8cLx32lpNA","v1UQAVDJRr","YbUVn0Rbpy","KYD54nUTWz","umQnsF7QlU","CoMdbyAt7R","Qtd6bqUJcN","BThhyOhh10","xNBdhnnwKq","UMwdvZNt44"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5885","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=5885, right_input=2261, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=9931","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=9931, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"number node, value=4837","layer":4},{"info":"compute unary expreesion, input=4837, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1433","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1739, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛43125⫥∨⫟↹⩛14245)⋛(↹⩛5413⪕↹⩛113551))∥⊢⊲(⨛(≪↹⩛34221))∌((↹⩛10345⇡⇂↹⩛12015⊭∹↮)↑)=NaN","reverse_text":"NaN=((↹⩛43125⫥∨⫟↹⩛14245)⋛(↹⩛5413⪕↹⩛113551))∥⊢⊲(⨛(≪↹⩛34221))∌((↹⩛10345⇡⇂↹⩛12015⊭∹↮)↑)","cot":[{"info":"↹⩛43125⫥∨⫟↹⩛14245=NaN","layer":3},{"info":"↹⩛5413⪕↹⩛113551=↹⩛-131","layer":3},{"info":"NaN⋛↹⩛-131=NaN","layer":2},{"info":"≪↹⩛34221=↹⩛4121","layer":3},{"info":"⨛↹⩛4121=NaN","layer":2},{"info":"NaN∥⊢⊲NaN=NaN","layer":1},{"info":"↹⩛10345⇡⇂↹⩛12015=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"NaN↑=NaN","layer":1},{"info":"NaN∌NaN=NaN","layer":0}]} +{"id":196,"expression_no_base_symbol":"(($1145$⪢$7535$⫠↝⫳)⫦⪉($3853$⨸$3839$)⪟⇏(⋣$1667$))⫣⪄⊒($8041$⪮%⊝$4162$∪⫐$2443$∘$2359$)↞⋁(($8652$⫌⩉⩟$1051$)⨒$3682$⨫⇇↔$4344$)","expression":"((↹⩛5145⪢↹⩛54515⫠↝⫳)⫦⪉(↹⩛25501⨸↹⩛25435)⪟⇏(⋣↹⩛11415))⫣⪄⊒(↹⩛101121⪮%⊝↹⩛31134∪⫐↹⩛15151∘↹⩛14531)↞⋁((↹⩛104020⫌⩉⩟↹⩛4511)⨒↹⩛25014⨫⇇↔↹⩛32040)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17251,"operation_count":14,"complexity_ratio":1232.2142857142858,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":7535,"base":6}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3853,"base":6},"right_expr":{"type":"numeric_atoms","value":3839,"base":6}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1667,"base":6}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8041,"base":6},"right_expr":{"type":"numeric_atoms","value":4162,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2443,"base":6},"right_expr":{"type":"numeric_atoms","value":2359,"base":6}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":8652,"base":6},"right_expr":{"type":"numeric_atoms","value":1051,"base":6}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3682,"base":6},"right_expr":{"type":"numeric_atoms","value":4344,"base":6}}}}},"used_operators":["RabNbG55vr","wscyQdcy20","8n5YIzOsVS","dWAJyo7jo9","GODebY97qR","KmoU8R5UQR","zQWRhDnn8F","RqrPlJkxDo","7YooWSwCyH","IWmyXbctLI","Z5m6OM72h2","y75s1iXyHd","XIIwhv8d0m","LXhwmt4mBO"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eH2TOUuTDT","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":4},{"info":"number node, value=7535","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=7535, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":2},{"info":"number node, value=3853","layer":4},{"info":"number node, value=3839","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=3839, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7706","layer":3},{"info":"number node, value=1667","layer":4},{"info":"compute unary expreesion, input=1667, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-490003","layer":3},{"info":"compute binary expreesion, left_input=7706, right_input=-490003, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"number node, value=8041","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=8041, right_input=4162, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16398","layer":3},{"info":"number node, value=2443","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=2359, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4886","layer":3},{"info":"compute binary expreesion, left_input=16398, right_input=4886, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=16398","layer":2},{"info":"number node, value=8652","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=8652, right_input=1051, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3682","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=4344, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-527, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=16398, right_input=1, 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 = 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":6,"result_base":6,"text":"((↹⩛5145⪢↹⩛54515⫠↝⫳)⫦⪉(↹⩛25501⨸↹⩛25435)⪟⇏(⋣↹⩛11415))⫣⪄⊒(↹⩛101121⪮%⊝↹⩛31134∪⫐↹⩛15151∘↹⩛14531)↞⋁((↹⩛104020⫌⩉⩟↹⩛4511)⨒↹⩛25014⨫⇇↔↹⩛32040)=↹⩛424","reverse_text":"↹⩛424=((↹⩛5145⪢↹⩛54515⫠↝⫳)⫦⪉(↹⩛25501⨸↹⩛25435)⪟⇏(⋣↹⩛11415))⫣⪄⊒(↹⩛101121⪮%⊝↹⩛31134∪⫐↹⩛15151∘↹⩛14531)↞⋁((↹⩛104020⫌⩉⩟↹⩛4511)⨒↹⩛25014⨫⇇↔↹⩛32040)","cot":[{"info":"↹⩛5145⪢↹⩛54515=NaN","layer":3},{"info":"NaN⫠↝⫳=NaN","layer":2},{"info":"↹⩛25501⨸↹⩛25435=↹⩛55402","layer":3},{"info":"⋣↹⩛11415=↹⩛-14300311","layer":3},{"info":"↹⩛55402⪟⇏↹⩛-14300311=↹⩛-1","layer":2},{"info":"NaN⫦⪉↹⩛-1=NaN","layer":1},{"info":"↹⩛101121⪮%⊝↹⩛31134=↹⩛203530","layer":3},{"info":"↹⩛15151∘↹⩛14531=↹⩛34342","layer":3},{"info":"↹⩛203530∪⫐↹⩛34342=↹⩛203530","layer":2},{"info":"↹⩛104020⫌⩉⩟↹⩛4511=↹⩛-122","layer":3},{"info":"↹⩛25014⨫⇇↔��⩛32040=↹⩛-2235","layer":3},{"info":"↹⩛-122⨒↹⩛-2235=↹⩛1","layer":2},{"info":"↹⩛203530↞⋁↹⩛1=NaN","layer":1},{"info":"NaN⫣⪄⊒NaN=↹⩛424","layer":0}]} +{"id":197,"expression_no_base_symbol":"⋗⩴⪓(⨆≐≲($2678$∠↢$2112$))⪪($2325$≎⊠⪸$4038$↸$1193$→⨶⪴$1214$)","expression":"⋗⩴⪓(⨆≐≲(↹⩛20222∠↢↹⩛13440))⪪(↹⩛14433≎⊠⪸↹⩛30410↸↹⩛5305→⨶⪴↹⩛5342)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4430,"operation_count":7,"complexity_ratio":632.8571428571429,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2678,"base":6},"right_expr":{"type":"numeric_atoms","value":2112,"base":6}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2325,"base":6},"right_expr":{"type":"numeric_atoms","value":4038,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1193,"base":6},"right_expr":{"type":"numeric_atoms","value":1214,"base":6}}}}},"used_operators":["nOKPl9n5zu","xD69zh8xqp","Bi9z9uYZqW","KbjG8mgYpV","1eCjFl0mb9","bJkvcejdHO","bF6eod5Gvf"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","FU0Cs4j7VP","JclMnS0uGI","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛331020","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2678","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=2112, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-39198","layer":3},{"info":"compute unary expreesion, input=-39198, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"number node, value=2325","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=4038, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=601702","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=1214, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3642","layer":3},{"info":"compute binary expreesion, left_input=601702, right_input=-3642, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=601702","layer":2},{"info":"compute binary expreesion, left_input=-168548, right_input=601702, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute unary expreesion, input=-6206, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=27444","layer":0}],"base":6,"result_base":6,"text":"⋗⩴⪓(⨆≐≲(↹⩛20222∠↢↹⩛13440))⪪(↹⩛14433≎⊠⪸↹⩛30410↸↹⩛5305→⨶⪴↹⩛5342)=↹⩛331020","reverse_text":"↹⩛331020=⋗⩴⪓(⨆≐≲(↹⩛20222∠↢↹⩛13440))⪪(↹⩛14433≎⊠⪸↹⩛30410↸↹⩛5305→⨶⪴↹⩛5342)","cot":[{"info":"↹⩛20222∠↢↹⩛13440=↹⩛-501250","layer":3},{"info":"⨆≐≲↹⩛-501250=↹⩛-3340152","layer":2},{"info":"↹⩛14433≎⊠⪸↹⩛30410=↹⩛20521354","layer":3},{"info":"↹⩛5305→⨶⪴↹⩛5342=↹⩛-24510","layer":3},{"info":"↹⩛20521354↸↹⩛-24510=↹⩛20521354","layer":2},{"info":"↹⩛-3340152⪪↹⩛20521354=↹⩛-44422","layer":1},{"info":"⋗⩴⪓↹⩛-44422=↹⩛331020","layer":0}]} +{"id":198,"expression_no_base_symbol":"≦∁(≪(($1030$⨹)⫢⨠(→⩰$2269$)))","expression":"≦∁(≪((↹⩛4434⨹)⫢⨠(→⩰↹⩛14301)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5968,"operation_count":5,"complexity_ratio":1193.6,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1030,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2269,"base":6}}}}},"used_operators":["9ICcGScMcE","Qtd6bqUJcN","xlXykHWxX1","UnCoSGIALn","o8Pngz0Tml"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","mp7IySMOzn","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"↹⩛4121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2060","layer":3},{"info":"number node, value=2269","layer":4},{"info":"compute unary expreesion, input=2269, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2060, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"compute unary expreesion, input=913, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=913","layer":0}],"base":6,"result_base":6,"text":"≦∁(≪((↹⩛4434⨹)⫢⨠(→⩰↹⩛14301)))=↹⩛4121","reverse_text":"↹⩛4121=≦∁(≪((↹⩛4434⨹)⫢⨠(→⩰↹⩛14301)))","cot":[{"info":"↹⩛4434⨹=↹⩛13312","layer":3},{"info":"→⩰↹⩛14301=NaN","layer":3},{"info":"↹⩛13312⫢⨠NaN=NaN","layer":2},{"info":"≪NaN=↹⩛4121","layer":1},{"info":"≦∁↹⩛4121=↹⩛4121","layer":0}]} +{"id":199,"expression_no_base_symbol":"⨴⫝($1352$≬⋮$1547$⨸⪁$1282$≁$2019$)≀⩗∶($3536$⊧↖)⨑⩅≇($1760$⪡$1063$)","expression":"⨴⫝(↹⩛10132≬⋮↹⩛11055⨸⪁↹⩛5534≁↹⩛13203)≀⩗∶(↹⩛24212⊧↖)⨑⩅≇(↹⩛12052⪡↹⩛4531)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8783,"operation_count":8,"complexity_ratio":1097.875,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1352,"base":6},"right_expr":{"type":"numeric_atoms","value":1547,"base":6}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1282,"base":6},"right_expr":{"type":"numeric_atoms","value":2019,"base":6}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3536,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1760,"base":6},"right_expr":{"type":"numeric_atoms","value":1063,"base":6}}}}},"used_operators":["SVb2v531z1","8INZBEW696","g55IO6H4Gj","kbkesczE7y","8N2wDY1A35","h92wMvzauj","EKiFHuOFxO","oraRL2iQuh"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"↹⩛140341302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=1547, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1282","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=2019, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=35255","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=35255, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=72246","layer":2},{"info":"number node, value=3536","layer":4},{"info":"compute unary expreesion, input=3536, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=75038120","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1063, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=75038120, right_input=107, 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=-225114360","layer":2},{"info":"compute binary expreesion, left_input=72246, right_input=-225114360, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=9348","layer":1},{"info":"compute unary expreesion, input=9348, 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":0}],"base":6,"result_base":6,"text":"⨴⫝(↹⩛10132≬⋮↹⩛11055⨸⪁↹⩛5534≁↹⩛13203)≀⩗∶(↹⩛24212⊧↖)⨑⩅≇(↹⩛12052⪡↹⩛4531)=↹⩛140341302","reverse_text":"↹⩛140341302=⨴⫝(↹⩛10132≬⋮↹⩛11055⨸⪁↹⩛5534≁↹⩛13203)≀⩗∶(↹⩛24212⊧↖)⨑⩅≇(↹⩛12052⪡↹⩛4531)","cot":[{"info":"↹⩛10132≬⋮↹⩛11055=↹⩛4004","layer":3},{"info":"↹⩛5534≁↹⩛13203=↹⩛431115","layer":3},{"info":"↹⩛4004⨸⪁↹⩛431115=↹⩛1314250","layer":2},{"info":"↹⩛24212⊧↖=↹⩛11240154412","layer":3},{"info":"↹⩛12052⪡↹⩛4531=↹⩛255","layer":3},{"info":"↹⩛11240154412⨑⩅≇↹⩛255=↹⩛-34200552040","layer":2},{"info":"↹⩛1314250≀⩗∶↹⩛-34200552040=↹⩛111140","layer":1},{"info":"⨴⫝↹⩛111140=↹⩛140341302","layer":0}]} +{"id":200,"expression_no_base_symbol":"(($2931$∸)⋾⨃∁$1090$⋕⪉⪜$2271$)∺≝⩲($2974$∥⊢⊲$1846$↬($2665$⫭))≚⊃≕((($7563$≀⩗∶$3001$)⊀⩕)⨑≵⋬(∂⩏⊆(⩎⋉$1213$)))","expression":"((↹⩛21323∸)⋾⨃∁↹⩛5014⋕⪉⪜↹⩛14303)∺≝⩲(↹⩛21434∥⊢⊲↹⩛12314↬(↹⩛20201⫭))≚⊃≕(((↹⩛55003≀⩗∶↹⩛21521)⊀⩕)⨑≵⋬(∂⩏⊆(⩎⋉↹⩛5341)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1350,"operation_count":13,"complexity_ratio":103.84615384615384,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2931,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1090,"base":6},"right_expr":{"type":"numeric_atoms","value":2271,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2974,"base":6},"right_expr":{"type":"numeric_atoms","value":1846,"base":6}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2665,"base":6}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":7563,"base":6},"right_expr":{"type":"numeric_atoms","value":3001,"base":6}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1213,"base":6}}}}},"used_operators":["Bmrmz2XGnR","KPf6cnQVty","212REbPD9h","o20kRiQErp","z6LnFrNh4i","B5M0gjZbta","v1UQAVDJRr","t4WUHVGj7f","XnXgA4xnOs","r0FS3hW4cC","8INZBEW696","8WDwsbhb0R","FlXk3pOYe8"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","tmPS8pqC7x","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rGHVDoGpnC","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","nhYeJWJD5X","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","14qkJME0vr","eLAdDNolq6","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"↹⩛-3044452","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2931","layer":4},{"info":"compute unary expreesion, input=2931, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=2271, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=204, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=413618","layer":2},{"info":"number node, value=2974","layer":4},{"info":"number node, value=1846","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=1846, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2665","layer":4},{"info":"compute unary expreesion, input=2665, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=8236","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8236, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=413618, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=7563","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=7563, right_input=3001, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-5029","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5029, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=47672","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=47672, 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=-146192","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21323∸)⋾⨃∁↹⩛5014⋕⪉⪜↹⩛14303)∺≝⩲(↹⩛21434∥⊢⊲↹⩛12314↬(↹⩛20201⫭))≚⊃≕(((↹⩛55003≀⩗∶↹⩛21521)⊀⩕)⨑≵⋬(∂⩏⊆(⩎⋉↹⩛5341)))=↹⩛-3044452","reverse_text":"↹⩛-3044452=((↹⩛21323∸)⋾⨃∁↹⩛5014⋕⪉⪜↹⩛14303)∺≝⩲(↹⩛21434∥⊢⊲↹⩛12314↬(↹⩛20201⫭))≚⊃≕(((↹⩛55003≀⩗∶↹⩛21521)⊀⩕)⨑≵⋬(∂⩏⊆(⩎⋉↹⩛5341)))","cot":[{"info":"↹⩛21323∸=↹⩛453","layer":3},{"info":"↹⩛5014⋕⪉⪜↹⩛14303=↹⩛540","layer":3},{"info":"↹⩛453⋾⨃∁↹⩛540=↹⩛12510522","layer":2},{"info":"↹⩛21434∥⊢⊲↹⩛12314=NaN","layer":3},{"info":"↹⩛20201⫭=↹⩛102044","layer":3},{"info":"NaN↬↹⩛102044=NaN","layer":2},{"info":"↹⩛12510522∺≝⩲NaN=↹⩛424","layer":1},{"info":"↹⩛55003≀⩗∶↹⩛21521=↹⩛0","layer":3},{"info":"↹⩛0⊀⩕=↹⩛0","layer":2},{"info":"⩎⋉↹⩛5341=↹⩛11350","layer":3},{"info":"∂⩏⊆↹⩛11350=↹⩛-35141","layer":2},{"info":"↹⩛0⨑≵⋬↹⩛-35141=↹⩛1004412","layer":1},{"info":"↹⩛424≚⊃≕↹⩛1004412=↹⩛-3044452","layer":0}]} +{"id":201,"expression_no_base_symbol":"↨($2258$⊲⩕⊾$1308$⋝⋈⪟$7006$⨚⇆$3438$-($2293$⫳≱↱$1386$)↺$1064$⫸⇳$3649$)","expression":"↨(↹⩛14242⊲⩕⊾↹⩛10020⋝⋈⪟↹⩛52234⨚⇆↹⩛23530-(↹⩛14341⫳≱↱↹⩛10230)↺↹⩛4532⫸⇳↹⩛24521)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49569,"operation_count":8,"complexity_ratio":6196.125,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2258,"base":6},"right_expr":{"type":"numeric_atoms","value":1308,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7006,"base":6},"right_expr":{"type":"numeric_atoms","value":3438,"base":6}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2293,"base":6},"right_expr":{"type":"numeric_atoms","value":1386,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1064,"base":6},"right_expr":{"type":"numeric_atoms","value":3649,"base":6}}}}},"used_operators":["jiX4gk2v2Q","rysDP5nf3Z","2DDjHMKMc0","DmTXOeWf9t","lwHaAYXP2r","7j4O788W3g","ZvLB05nZmT","gx7XJ7hdpj"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2258","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2258, right_input=1308, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-45838","layer":3},{"info":"number node, value=7006","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=7006, right_input=3438, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-45838, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1386, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=3649, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↨(↹⩛14242⊲⩕⊾↹⩛10020⋝⋈⪟↹⩛52234⨚⇆↹⩛23530-(↹⩛14341⫳≱↱↹⩛10230)↺↹⩛4532⫸⇳↹⩛24521)=NaN","reverse_text":"NaN=↨(↹⩛14242⊲⩕⊾↹⩛10020⋝⋈⪟↹⩛52234⨚⇆↹⩛23530-(↹⩛14341⫳≱↱↹⩛10230)↺↹⩛4532⫸⇳↹⩛24521)","cot":[{"info":"↹⩛14242⊲⩕⊾↹⩛10020=↹⩛-552114","layer":3},{"info":"↹⩛52234⨚⇆↹⩛23530=NaN","layer":3},{"info":"↹⩛-552114⋝⋈⪟NaN=NaN","layer":2},{"info":"↹⩛14341⫳≱↱↹⩛10230=↹⩛-540","layer":3},{"info":"↹⩛4532⫸⇳↹⩛24521=↹⩛0","layer":3},{"info":"↹⩛-540↺↹⩛0=↹⩛0","layer":2},{"info":"NaN-↹⩛0=NaN","layer":1},{"info":"↨NaN=NaN","layer":0}]} +{"id":202,"expression_no_base_symbol":"((∟⋨$6153$)⇍⊗$2712$∇⊂⋱$2534$⩘((⊖$5765$)⫃⨇$1079$⊝⪿⪼$3293$))⨂≜((($1218$⩅⪻⪻)≬⋮$1409$⪭≯$1545$)⨟⋌⩍(⨵≀≌$2366$⨻⩈⩔$4346$))","expression":"((∟⋨↹⩛44253)⇍⊗↹⩛20320∇⊂⋱↹⩛15422⩘((⊖↹⩛42405)⫃⨇↹⩛4555⊝⪿⪼↹⩛23125))⨂≜(((↹⩛5350⩅⪻⪻)≬⋮↹⩛10305⪭≯↹⩛11053)⨟⋌⩍(⨵≀≌↹⩛14542⨻⩈⩔↹⩛32042))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7699,"operation_count":14,"complexity_ratio":549.9285714285714,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":6153,"base":6}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2712,"base":6},"right_expr":{"type":"numeric_atoms","value":2534,"base":6}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":5765,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1079,"base":6},"right_expr":{"type":"numeric_atoms","value":3293,"base":6}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1218,"base":6}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1409,"base":6},"right_expr":{"type":"numeric_atoms","value":1545,"base":6}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2366,"base":6},"right_expr":{"type":"numeric_atoms","value":4346,"base":6}}}}},"used_operators":["k1SHOSEABc","cHh1gJQ2o6","5uvYHDjeKN","ctOc4cKSDt","nhYeJWJD5X","09Ly4LVMIf","U6pG0PXrV3","3Oe9XWJUTD","rGHVDoGpnC","kbkesczE7y","kHoXpA7yos","XAx5wpdLa6","srAu1WTS94","nEsXyWgiOK"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","tmPS8pqC7x","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6153","layer":4},{"info":"compute unary expreesion, input=6153, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-5669","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=2534, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4878","layer":3},{"info":"compute binary expreesion, left_input=-5669, right_input=4878, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=5765","layer":4},{"info":"compute unary expreesion, input=5765, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=3293, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26117","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=26117, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-104500","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-104500, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-179689","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1545, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-179689, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=4346, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10527","layer":3},{"info":"compute unary expreesion, input=10527, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-31581","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-31581, 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=160, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((∟⋨↹⩛44253)⇍⊗↹⩛20320∇⊂⋱↹⩛15422⩘((⊖↹⩛42405)⫃⨇↹⩛4555⊝⪿⪼↹⩛23125))⨂≜(((↹⩛5350⩅⪻⪻)≬⋮↹⩛10305⪭≯↹⩛11053)⨟⋌⩍(⨵≀≌↹⩛14542⨻���⩔↹⩛32042))=NaN","reverse_text":"NaN=((∟⋨↹⩛44253)⇍⊗↹⩛20320∇⊂⋱↹⩛15422⩘((⊖↹⩛42405)⫃⨇↹⩛4555⊝⪿⪼↹⩛23125))⨂≜(((↹⩛5350⩅⪻⪻)≬⋮↹⩛10305⪭≯↹⩛11053)⨟⋌⩍(⨵≀≌↹⩛14542⨻⩈⩔↹⩛32042))","cot":[{"info":"∟⋨↹⩛44253=↹⩛-42125","layer":3},{"info":"↹⩛20320∇⊂⋱↹⩛15422=↹⩛34330","layer":3},{"info":"↹⩛-42125⇍⊗↹⩛34330=↹⩛-1044","layer":2},{"info":"⊖↹⩛42405=↹⩛0","layer":3},{"info":"↹⩛4555⊝⪿⪼↹⩛23125=↹⩛320525","layer":3},{"info":"↹⩛0⫃⨇↹⩛320525=↹⩛-2123444","layer":2},{"info":"↹⩛-1044⩘↹⩛-2123444=↹⩛424","layer":1},{"info":"↹⩛5350⩅⪻⪻=↹⩛-3503521","layer":3},{"info":"↹⩛10305⪭≯↹⩛11053=NaN","layer":3},{"info":"↹⩛-3503521≬⋮NaN=NaN","layer":2},{"info":"↹⩛14542⨻⩈⩔↹⩛32042=↹⩛120423","layer":3},{"info":"⨵≀≌↹⩛120423=↹⩛-402113","layer":2},{"info":"NaN⨟⋌⩍↹⩛-402113=NaN","layer":1},{"info":"↹⩛424⨂≜NaN=NaN","layer":0}]} +{"id":203,"expression_no_base_symbol":"((⊊≼∋($2868$⋫))⫣⪄⊒(≇⪴$1051$⇻⋧≁$4283$))≴⪞⇿((⊢≑≆$2861$)⊹∫⫚($6225$⪁$2247$)↱($1537$⨚⇆$2648$⨸⪁($6255$⩹$1840$)))","expression":"((⊊≼∋(↹⩛21140⋫))⫣⪄⊒(≇⪴↹⩛4511⇻⋧≁↹⩛31455))≴⪞⇿((⊢≑≆↹⩛21125)⊹∫⫚(↹⩛44453⪁↹⩛14223)↱(↹⩛11041⨚⇆↹⩛20132⨸⪁(↹⩛44543⩹↹⩛12304)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":91879051,"operation_count":13,"complexity_ratio":7067619.307692308,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2868,"base":6}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1051,"base":6},"right_expr":{"type":"numeric_atoms","value":4283,"base":6}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2861,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6225,"base":6},"right_expr":{"type":"numeric_atoms","value":2247,"base":6}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1537,"base":6},"right_expr":{"type":"numeric_atoms","value":2648,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6255,"base":6},"right_expr":{"type":"numeric_atoms","value":1840,"base":6}}}}},"used_operators":["lvlrscuwVU","RabNbG55vr","FWz7pXsQhA","JL8yIekQnl","zoVPnxeHJ3","jCPkEVoL5K","SR5kFfdi6N","uWAJUKEvyW","27wFxooxGf","I7sXao9hZE","g55IO6H4Gj","lwHaAYXP2r","2Wsdkap16l"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","B5M0gjZbta","jCPkEVoL5K","tmPS8pqC7x","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"↹⩛315152","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2868","layer":4},{"info":"compute unary expreesion, input=2868, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2868","layer":3},{"info":"compute unary expreesion, input=2868, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=4283, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1788","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-1788, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11896","layer":3},{"info":"number node, value=6225","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=6225, right_input=2247, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11896, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"number node, value=1537","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=2648, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=6255","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=6255, right_input=1840, 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=1838","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1838, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=25772","layer":0}],"base":6,"result_base":6,"text":"((⊊≼∋(↹⩛21140⋫))⫣⪄⊒(≇⪴↹⩛4511⇻⋧≁↹⩛31455))≴⪞⇿((⊢≑≆↹⩛21125)⊹∫⫚(↹⩛44453⪁↹⩛14223)↱(↹⩛11041⨚⇆↹⩛20132⨸⪁(↹⩛44543⩹↹⩛12304)))=↹⩛315152","reverse_text":"↹⩛315152=((⊊≼∋(↹⩛21140⋫))⫣⪄⊒(≇⪴↹⩛4511⇻⋧≁↹⩛31455))≴⪞⇿((⊢≑≆↹⩛21125)⊹∫⫚(↹⩛44453⪁↹⩛14223)↱(↹⩛11041⨚⇆↹⩛20132⨸⪁(↹⩛44543⩹↹⩛12304)))","cot":[{"info":"↹⩛21140⋫=↹⩛21140","layer":3},{"info":"⊊≼∋↹⩛21140=↹⩛-2023","layer":2},{"info":"↹⩛4511⇻⋧≁↹⩛31455=↹⩛-2023","layer":3},{"info":"≇⪴↹⩛-2023=↹⩛-12140","layer":2},{"info":"↹⩛-2023⫣⪄⊒↹⩛-12140=↹⩛424","layer":1},{"info":"⊢≑≆↹⩛21125=↹⩛131024","layer":3},{"info":"↹⩛44453⪁↹⩛14223=NaN","layer":3},{"info":"↹⩛131024⊹∫⫚NaN=NaN","layer":2},{"info":"↹⩛11041⨚⇆↹⩛20132=NaN","layer":3},{"info":"↹⩛44543⩹↹⩛12304=↹⩛12302","layer":3},{"info":"NaN⨸⪁↹⩛12302=NaN","layer":2},{"info":"NaN↱NaN=NaN","layer":1},{"info":"↹⩛424≴⪞⇿NaN=↹⩛315152","layer":0}]} +{"id":204,"expression_no_base_symbol":"(((⨝⨆$7468$)⪮%⊝$1003$⩖⊿$4711$)∴(⩎⋉($1366$⫸⊐$3326$)))≁(⨡↴(↩$1242$)⫸⇳$5849$⨐⩸⫘$9429$)","expression":"(((⨝⨆↹⩛54324)⪮%⊝↹⩛4351⩖⊿↹⩛33451)∴(⩎⋉(↹⩛10154⫸⊐↹⩛23222)))≁(⨡↴(↩↹⩛5430)⫸⇳↹⩛43025⨐⩸⫘↹⩛111353)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":250,"operation_count":11,"complexity_ratio":22.727272727272727,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":7468,"base":6}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1003,"base":6},"right_expr":{"type":"numeric_atoms","value":4711,"base":6}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1366,"base":6},"right_expr":{"type":"numeric_atoms","value":3326,"base":6}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1242,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5849,"base":6},"right_expr":{"type":"numeric_atoms","value":9429,"base":6}}}}},"used_operators":["8N2wDY1A35","hrf7POJlIJ","IWmyXbctLI","bQ67fsrMVf","RZ5CV9rWsJ","FlXk3pOYe8","mqXw5SEYmG","liw5iZPkLH","gx7XJ7hdpj","jLgFTUHLKL","fu6greOZ01"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp"],"result":"↹⩛131235","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7468","layer":4},{"info":"compute unary expreesion, input=7468, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=7259","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=4711","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4711, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=33594","layer":3},{"info":"compute binary expreesion, left_input=7259, right_input=33594, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14834","layer":2},{"info":"number node, value=1366","layer":4},{"info":"number node, value=3326","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=3326, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13179","layer":3},{"info":"compute unary expreesion, input=13179, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=14834, right_input=1650, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=31316","layer":1},{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7156","layer":3},{"info":"number node, value=5849","layer":4},{"info":"number node, value=9429","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=9429, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7156, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":1},{"info":"compute binary expreesion, left_input=31316, right_input=1049, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=11975","layer":0}],"base":6,"result_base":6,"text":"(((⨝⨆↹⩛54324)⪮%⊝↹⩛4351⩖⊿↹⩛33451)∴(⩎⋉(↹⩛10154⫸⊐↹⩛23222)))≁(⨡↴(↩↹⩛5430)⫸⇳↹⩛43025⨐⩸⫘↹⩛111353)=↹⩛131235","reverse_text":"↹⩛131235=(((⨝⨆↹⩛54324)⪮%⊝↹⩛4351⩖⊿↹⩛33451)∴(⩎⋉(↹⩛10154⫸⊐↹⩛23222)))≁(⨡↴(↩↹⩛5430)⫸⇳↹⩛43025⨐⩸⫘↹⩛111353)","cot":[{"info":"⨝⨆↹⩛54324=↹⩛53335","layer":3},{"info":"↹⩛4351⩖⊿↹⩛33451=↹⩛415310","layer":3},{"info":"↹⩛53335⪮%⊝↹⩛415310=↹⩛152402","layer":2},{"info":"↹⩛10154⫸⊐↹⩛23222=↹⩛141003","layer":3},{"info":"⩎⋉↹⩛141003=↹⩛11350","layer":2},{"info":"↹⩛152402∴↹⩛11350=↹⩛400552","layer":1},{"info":"↩↹⩛5430=↹⩛-53044","layer":3},{"info":"↹⩛43025⨐⩸⫘↹⩛111353=NaN","layer":3},{"info":"↹⩛-53044⫸⇳NaN=↹⩛0","layer":2},{"info":"⨡↴↹⩛0=↹⩛4505","layer":1},{"info":"↹⩛400552≁↹⩛4505=↹⩛131235","layer":0}]} +{"id":205,"expression_no_base_symbol":"($5781$∙∹∝$4699$)⫞⩸⩒($4953$⨐⩸⫘$3843$)≁(($6521$⪶≀⋏$1453$)+⪬∐($1085$⨵⪆$2145$))∽(∂⩏⊆(↽≂$3912$)⪭≯$3727$⫁$2370$)","expression":"(↹⩛42433∙∹∝↹⩛33431)⫞⩸⩒(↹⩛34533⨐⩸⫘↹⩛25443)≁((↹⩛50105⪶≀⋏↹⩛10421)+⪬∐(↹⩛5005⨵⪆↹⩛13533))∽(∂⩏⊆(↽≂↹⩛30040)⪭≯↹⩛25131⫁↹⩛14550)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8187,"operation_count":12,"complexity_ratio":682.25,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5781,"base":6},"right_expr":{"type":"numeric_atoms","value":4699,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4953,"base":6},"right_expr":{"type":"numeric_atoms","value":3843,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6521,"base":6},"right_expr":{"type":"numeric_atoms","value":1453,"base":6}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1085,"base":6},"right_expr":{"type":"numeric_atoms","value":2145,"base":6}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3912,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3727,"base":6},"right_expr":{"type":"numeric_atoms","value":2370,"base":6}}}}},"used_operators":["y4ImoPnbV5","8N2wDY1A35","XGcMNugi78","HmxsFra2vL","fu6greOZ01","2GS7woTJqF","zR4jO40bMj","2DQ55sFlQl","8WDwsbhb0R","XAx5wpdLa6","u6S6b8DprG","0ajvFaJAv0"],"dependent_operators":["NTOWxs364D","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","3ViojmjbAp","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5781","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=5781, right_input=4699, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4953","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=4953, right_input=3843, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=0","layer":2},{"info":"number node, value=6521","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=6521, right_input=1453, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-22701","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=2145, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-22701, right_input=160, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=68103","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=68103, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=3912","layer":4},{"info":"compute unary expreesion, input=3912, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7824","layer":3},{"info":"number node, value=3727","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=3727, right_input=2370, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-7824, right_input=160, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42433∙∹∝↹⩛33431)⫞⩸⩒(↹⩛34533⨐⩸⫘↹⩛25443)≁((↹⩛50105⪶≀⋏↹⩛10421)+⪬∐(↹⩛5005⨵⪆↹⩛13533))∽(∂⩏⊆(↽≂↹⩛30040)⪭≯↹⩛25131⫁↹⩛14550)=NaN","reverse_text":"NaN=(↹⩛42433∙∹∝↹⩛33431)⫞⩸⩒(↹⩛34533⨐⩸⫘↹⩛25443)≁((↹⩛50105⪶≀⋏↹⩛10421)+⪬∐(↹⩛5005⨵⪆↹⩛13533))∽(∂⩏⊆(↽≂↹⩛30040)⪭≯↹⩛25131⫁↹⩛14550)","cot":[{"info":"↹⩛42433∙∹∝↹⩛33431=↹⩛0","layer":3},{"info":"↹⩛34533⨐⩸⫘↹⩛25443=NaN","layer":3},{"info":"↹⩛0⫞⩸⩒NaN=↹⩛0","layer":2},{"info":"↹⩛50105⪶≀⋏↹⩛10421=↹⩛-253033","layer":3},{"info":"↹⩛5005⨵⪆↹⩛13533=↹⩛424","layer":3},{"info":"↹⩛-253033+⪬∐↹⩛424=↹⩛1243143","layer":2},{"info":"↹⩛0≁↹⩛1243143=NaN","layer":1},{"info":"↽≂↹⩛30040=↹⩛-100120","layer":3},{"info":"↹⩛25131⫁↹⩛14550=↹⩛424","layer":3},{"info":"↹⩛-100120⪭≯↹⩛424=NaN","layer":2},{"info":"∂⩏⊆NaN=NaN","layer":1},{"info":"NaN∽NaN=NaN","layer":0}]} +{"id":206,"expression_no_base_symbol":"((⨛(↣≠⋷$2288$))∠↢($3415$⊝⪿⪼$1834$)⨫⇇↔($3967$⋖∅⋲))⫥∨⫟(⫵↿$2762$⪒⊣⊆$1054$)∊∟⩊($1078$≳⇉$1095$)⊮⊟↴(∓$7256$)","expression":"((⨛(↣≠⋷↹⩛14332))∠↢(↹⩛23451⊝⪿⪼↹⩛12254)⨫⇇↔(↹⩛30211⋖∅⋲))⫥∨⫟(⫵↿↹⩛20442⪒⊣⊆↹⩛4514)∊∟⩊(↹⩛4554≳⇉↹⩛5023)⊮⊟↴(∓↹⩛53332)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25429351,"operation_count":13,"complexity_ratio":1956103.923076923,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2288,"base":6}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3415,"base":6},"right_expr":{"type":"numeric_atoms","value":1834,"base":6}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":3967,"base":6}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2762,"base":6},"right_expr":{"type":"numeric_atoms","value":1054,"base":6}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1078,"base":6},"right_expr":{"type":"numeric_atoms","value":1095,"base":6}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":7256,"base":6}}}}},"used_operators":["KYD54nUTWz","KbjG8mgYpV","CoMdbyAt7R","Asc51vEJeQ","LXhwmt4mBO","3Oe9XWJUTD","L95AwlJzhO","ddLRYrp01A","ivGwdmUAux","eRqsBgTDFp","QDVgd2eftb","V0kx6qeWkN","OwUj7dcsQK"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","XhwjNDsVaA","AHs5Up7iyr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","sdazOOVcIp","W4YGzv6Whe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=3415","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=1834, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=50571","layer":3},{"info":"number node, value=3967","layer":4},{"info":"compute unary expreesion, input=3967, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅�� = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=50571, right_input=-384231, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=2762","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=1054, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5524","layer":3},{"info":"compute unary expreesion, input=5524, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1095, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=7256","layer":4},{"info":"compute unary expreesion, input=7256, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-113712","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-113712, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=6783781","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=6783781, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6783781","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6783781, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⨛(↣≠⋷↹⩛14332))∠↢(↹⩛23451⊝⪿⪼↹⩛12254)⨫⇇↔(↹⩛30211⋖∅⋲))⫥∨⫟(⫵↿↹⩛20442⪒⊣⊆↹⩛4514)∊∟⩊(↹⩛4554≳⇉↹⩛5023)⊮⊟↴(∓↹⩛53332)=NaN","reverse_text":"NaN=((⨛(↣≠⋷↹⩛14332))∠↢(↹⩛23451⊝⪿⪼↹⩛12254)⨫⇇↔(↹⩛30211⋖∅⋲))⫥∨⫟(⫵↿↹⩛20442⪒⊣⊆↹⩛4514)∊∟⩊(↹⩛4554≳⇉↹⩛5023)⊮⊟↴(∓↹⩛53332)","cot":[{"info":"↣≠⋷↹⩛14332=NaN","layer":3},{"info":"⨛NaN=NaN","layer":2},{"info":"↹⩛23451⊝⪿⪼↹⩛12254=↹⩛1030043","layer":3},{"info":"↹⩛30211⋖∅⋲=↹⩛-12122503","layer":3},{"info":"↹⩛1030043⨫⇇↔↹⩛-12122503=↹⩛-2235","layer":2},{"info":"NaN∠↢↹⩛-2235=NaN","layer":1},{"info":"↹⩛20442⪒⊣⊆↹⩛4514=↹⩛41324","layer":3},{"info":"⫵↿↹⩛41324=↹⩛345","layer":2},{"info":"↹⩛4554≳⇉↹⩛5023=NaN","layer":3},{"info":"∓↹⩛53332=↹⩛-2234240","layer":3},{"info":"NaN⊮⊟↴↹⩛-2234240=↹⩛401222221","layer":2},{"info":"↹⩛345∊∟⩊↹⩛401222221=↹⩛401222221","layer":1},{"info":"NaN⫥∨⫟↹⩛401222221=NaN","layer":0}]} +{"id":207,"expression_no_base_symbol":"(((∨∊⋏$2051$)⋆⋳)⫸⊐$5064$⫘$1362$⨚($1439$∲⫓$2204$))⇯⋐","expression":"(((∨∊⋏↹⩛13255)⋆⋳)⫸⊐↹⩛35240⫘↹⩛10150⨚(↹⩛10355∲⫓↹⩛14112))⇯⋐","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5405,"operation_count":7,"complexity_ratio":772.1428571428571,"tree":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2051,"base":6}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5064,"base":6},"right_expr":{"type":"numeric_atoms","value":1362,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1439,"base":6},"right_expr":{"type":"numeric_atoms","value":2204,"base":6}}}}},"used_operators":["LkLIoiE525","mqXw5SEYmG","6MpZysEj17","R5aXW34M0v","nREPSIbpBE","48vC8HMD2b","i8ToyICDmI"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","BjRHVeLaeN","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛25302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=36023","layer":3},{"info":"compute unary expreesion, input=36023, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-72078","layer":2},{"info":"number node, value=5064","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=5064, right_input=1362, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5959669","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=2204, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5959669, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=11920272","layer":2},{"info":"compute binary expreesion, left_input=-72078, right_input=11920272, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=3782","layer":0}],"base":6,"result_base":6,"text":"(((∨∊⋏↹⩛13255)⋆⋳)⫸⊐↹⩛35240⫘↹⩛10150⨚(↹⩛10355∲⫓↹⩛14112))⇯⋐=↹⩛25302","reverse_text":"↹⩛25302=(((∨∊⋏↹⩛13255)⋆⋳)⫸⊐↹⩛35240⫘↹⩛10150⨚(↹⩛10355∲⫓↹⩛14112))⇯⋐","cot":[{"info":"∨∊⋏↹⩛13255=↹⩛434435","layer":3},{"info":"↹⩛434435⋆⋳=↹⩛-1313410","layer":2},{"info":"↹⩛35240⫘↹⩛10150=↹⩛331423021","layer":3},{"info":"↹⩛10355∲⫓↹⩛14112=↹⩛0","layer":3},{"info":"↹⩛331423021⨚↹⩛0=↹⩛1103254240","layer":2},{"info":"↹⩛-1313410⫸⊐↹⩛1103254240=↹⩛4252","layer":1},{"info":"↹⩛4252⇯⋐=↹⩛25302","layer":0}]} +{"id":208,"expression_no_base_symbol":"(($4548$∖$3492$)∼$5200$↤⩊$6522$⫦⪉(⨙⪌($1168$⊴$3000$)))⇌⫙⪟($2065$⊬⨰$4839$⫍⨯↯)⇡⇂(≱⇩⩕(≸$1958$))","expression":"((↹⩛33020∖↹⩛24100)∼↹⩛40024↤⩊↹⩛50110⫦⪉(⨙⪌(↹⩛5224⊴↹⩛21520)))⇌⫙⪟(↹⩛13321⊬⨰↹⩛34223⫍⨯↯)⇡⇂(≱⇩⩕(≸↹⩛13022))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5227,"operation_count":12,"complexity_ratio":435.5833333333333,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4548,"base":6},"right_expr":{"type":"numeric_atoms","value":3492,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5200,"base":6},"right_expr":{"type":"numeric_atoms","value":6522,"base":6}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1168,"base":6},"right_expr":{"type":"numeric_atoms","value":3000,"base":6}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2065,"base":6},"right_expr":{"type":"numeric_atoms","value":4839,"base":6}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1958,"base":6}}}}},"used_operators":["AFVx7xoS7T","wscyQdcy20","DyGG3AbaNP","tXD093vOjl","13rbtpv6ld","vEGLkm4Z2k","Nsiff2A1zJ","UMwdvZNt44","ZcwmYACASQ","s3Fd5m9Dh2","3DZMoQKiUl","eOf03JbCpp"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4548","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=3492, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5200","layer":4},{"info":"number node, value=6522","layer":4},{"info":"compute binary expreesion, left_input=5200, right_input=6522, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=3000, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"number node, value=2065","layer":4},{"info":"number node, value=4839","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=4839, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20365","layer":3},{"info":"compute unary expreesion, input=20365, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=20332","layer":2},{"info":"number node, value=1958","layer":4},{"info":"compute unary expreesion, input=1958, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=20332, right_input=113, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛33020∖↹⩛24100)∼↹⩛40024↤⩊↹⩛50110⫦⪉(⨙⪌(↹⩛5224⊴↹⩛21520)))⇌⫙⪟(↹⩛13321⊬⨰↹⩛34223⫍⨯↯)⇡⇂(≱⇩⩕(≸↹⩛13022))=NaN","reverse_text":"NaN=((↹⩛33020∖↹⩛24100)∼↹⩛40024↤⩊↹⩛50110⫦⪉(⨙⪌(↹⩛5224⊴↹⩛21520)))⇌⫙⪟(↹⩛13321⊬⨰↹⩛34223⫍⨯↯)⇡⇂(≱⇩⩕(≸↹⩛13022))","cot":[{"info":"↹⩛33020∖↹⩛24100=↹⩛0","layer":3},{"info":"↹⩛40024↤⩊↹⩛50110=NaN","layer":3},{"info":"↹⩛0∼NaN=NaN","layer":2},{"info":"↹⩛5224⊴↹⩛21520=NaN","layer":3},{"info":"⨙⪌NaN=NaN","layer":2},{"info":"NaN⫦⪉NaN=NaN","layer":1},{"info":"↹⩛13321⊬⨰↹⩛34223=↹⩛234141","layer":3},{"info":"↹⩛234141⫍⨯↯=↹⩛234044","layer":2},{"info":"≸↹⩛13022=↹⩛134","layer":3},{"info":"≱⇩⩕↹⩛134=↹⩛305","layer":2},{"info":"↹⩛234044⇡⇂↹⩛305=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]} +{"id":209,"expression_no_base_symbol":"∐⩳⋚((∓$5084$∌↝$1539$)⫡⨏($3489$⨓$4313$)↼⊘⨖$5742$⨜⨶$4677$)","expression":"∐⩳⋚((∓↹⩛35312∌↝↹⩛11043)⫡⨏(↹⩛24053⨓↹⩛31545)↼⊘⨖↹⩛42330⨜⨶↹⩛33353)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4570,"operation_count":7,"complexity_ratio":652.8571428571429,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5084,"base":6},"right_expr":{"type":"numeric_atoms","value":1539,"base":6}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3489,"base":6},"right_expr":{"type":"numeric_atoms","value":4313,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5742,"base":6},"right_expr":{"type":"numeric_atoms","value":4677,"base":6}}}}},"used_operators":["SL6IHkK8vl","QMFrweE19q","OwUj7dcsQK","9Isq31Ruls","bPywburJMS","3ViojmjbAp","HiPekx5b7W"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛-1424140232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5084","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=1539, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-4872","layer":2},{"info":"number node, value=3489","layer":4},{"info":"number node, value=4313","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=4313, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4316","layer":3},{"info":"number node, value=5742","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=5742, right_input=4677, 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=-9098","layer":3},{"info":"compute binary expreesion, left_input=-4316, right_input=-9098, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-18418","layer":2},{"info":"compute binary expreesion, left_input=-4872, right_input=-18418, 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=-60413","layer":1},{"info":"compute unary expreesion, input=-60413, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-17555708","layer":0}],"base":6,"result_base":6,"text":"∐⩳⋚((∓↹⩛35312∌↝↹⩛11043)⫡⨏(↹⩛24053⨓↹⩛31545)↼⊘⨖↹⩛42330⨜⨶↹⩛33353)=↹⩛-1424140232","reverse_text":"↹⩛-1424140232=∐⩳⋚((∓↹⩛35312∌↝↹⩛11043)⫡⨏(↹⩛24053⨓↹⩛31545)↼⊘⨖↹⩛42330⨜⨶↹⩛33353)","cot":[{"info":"↹⩛35312∌↝↹⩛11043=↹⩛0","layer":3},{"info":"∓↹⩛0=↹⩛-34320","layer":2},{"info":"↹⩛24053⨓↹⩛31545=↹⩛-31552","layer":3},{"info":"↹⩛42330⨜⨶↹⩛33353=↹⩛-110042","layer":3},{"info":"↹⩛-31552↼⊘⨖↹⩛-110042=↹⩛-221134","layer":2},{"info":"↹⩛-34320⫡⨏↹⩛-221134=↹⩛-1143405","layer":1},{"info":"∐⩳⋚↹⩛-1143405=↹⩛-1424140232","layer":0}]} +{"id":210,"expression_no_base_symbol":"(∐⩳⋚($1685$⨶)⨑⩅≇$3244$⇻⋧≁$2286$)↓⨍⋜","expression":"(∐⩳⋚(↹⩛11445⨶)⨑⩅≇↹⩛23004⇻⋧≁↹⩛14330)↓⨍⋜","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4223,"operation_count":5,"complexity_ratio":844.6,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1685,"base":6}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3244,"base":6},"right_expr":{"type":"numeric_atoms","value":2286,"base":6}}}}},"used_operators":["3DVzLFNsE9","SL6IHkK8vl","h92wMvzauj","rFxw8gIMmB","jCPkEVoL5K"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","f6k1SAg4EE","Qy55tPpLXF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"↹⩛13020050210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":4},{"info":"compute unary expreesion, input=1685, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1624","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=2286, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=1624, right_input=-447, 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=-4872","layer":2},{"info":"compute unary expreesion, input=-4872, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-1448818","layer":1},{"info":"compute unary expreesion, input=-1448818, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=91265694","layer":0}],"base":6,"result_base":6,"text":"(∐⩳⋚(↹⩛11445⨶)⨑⩅≇↹⩛23004⇻⋧≁↹⩛14330)↓⨍⋜=↹⩛13020050210","reverse_text":"↹⩛13020050210=(∐⩳⋚(↹⩛11445⨶)⨑⩅≇↹⩛23004⇻⋧≁↹⩛14330)↓⨍⋜","cot":[{"info":"↹⩛11445⨶=↹⩛11304","layer":3},{"info":"↹⩛23004⇻⋧≁↹⩛14330=↹⩛-2023","layer":3},{"info":"↹⩛11304⨑⩅≇↹⩛-2023=↹⩛-34320","layer":2},{"info":"∐⩳⋚↹⩛-34320=↹⩛-51015254","layer":1},{"info":"↹⩛-51015254↓⨍⋜=↹⩛13020050210","layer":0}]} +{"id":211,"expression_no_base_symbol":"↯⪼((($4351$⨽⪊≇)⨚⇆($2413$/$1764$))⪗)","expression":"↯⪼(((↹⩛32051⨽⪊≇)⨚⇆(↹⩛15101/↹⩛12100))⪗)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57300,"operation_count":5,"complexity_ratio":11460.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":4351,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2413,"base":6},"right_expr":{"type":"numeric_atoms","value":1764,"base":6}}}}},"used_operators":["8jW3W4yZS5","VEQNXA0ZBg","lwHaAYXP2r","nlCqmYiOvY","XhwjNDsVaA"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4351","layer":4},{"info":"compute unary expreesion, input=4351, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=8176","layer":3},{"info":"number node, value=2413","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=1764, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=8176, right_input=1, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":6,"result_base":6,"text":"↯⪼(((↹⩛32051⨽⪊≇)⨚⇆(↹⩛15101/↹⩛12100))⪗)=↹⩛-33","reverse_text":"↹⩛-33=↯⪼(((↹⩛32051⨽⪊≇)⨚⇆(↹⩛15101/↹⩛12100))⪗)","cot":[{"info":"↹⩛32051⨽⪊≇=↹⩛101504","layer":3},{"info":"↹⩛15101/↹⩛12100=↹⩛1","layer":3},{"info":"↹⩛101504⨚⇆↹⩛1=NaN","layer":2},{"info":"NaN⪗=NaN","layer":1},{"info":"↯⪼NaN=↹⩛-33","layer":0}]} +{"id":212,"expression_no_base_symbol":"⫛⫱⨽(⨣⨃⇪(⋂$3695$∺≝⩲$1793$))","expression":"⫛⫱⨽(⨣⨃⇪(⋂↹⩛25035∺≝⩲↹⩛12145))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1461,"operation_count":4,"complexity_ratio":365.25,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3695,"base":6},"right_expr":{"type":"numeric_atoms","value":1793,"base":6}}}}},"used_operators":["DlLNRPXxWL","AcOhelriW5","BUOGQAYlQx","KPf6cnQVty"],"dependent_operators":["rGHVDoGpnC","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3695","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=1793, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-1644","layer":2},{"info":"compute unary expreesion, input=-1644, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⫛⫱⨽(⨣⨃⇪(⋂↹⩛25035∺≝⩲↹⩛12145))=↹⩛0","reverse_text":"↹⩛0=⫛⫱⨽(⨣⨃⇪(⋂↹⩛25035∺≝⩲↹⩛12145))","cot":[{"info":"↹⩛25035∺≝⩲↹⩛12145=↹⩛424","layer":3},{"info":"⋂↹⩛424=↹⩛-11340","layer":2},{"info":"⨣⨃⇪↹⩛-11340=↹⩛10301","layer":1},{"info":"⫛⫱⨽↹⩛10301=↹⩛0","layer":0}]} +{"id":213,"expression_no_base_symbol":"($4218$↱$2680$)≭$1897$⨟⋌⩍$4980$⫌⩉⩟($6193$≥⨤⩑$3273$)⇌⫙⪟$1117$≹⇙⪍$1329$⫡⨏((↸⊣$5950$)⊴($6040$⇼⇔∾$1094$)⨵⪆($1030$⊨$2318$)⊝⪿⪼($2743$⫲≸⪮$1956$))","expression":"(↹⩛31310↱↹⩛20224)≭↹⩛12441⨟⋌⩍↹⩛35020⫌⩉⩟(↹⩛44401≥⨤⩑↹⩛23053)⇌⫙⪟↹⩛5101≹⇙⪍↹⩛10053⫡⨏((↸⊣↹⩛43314)⊴(↹⩛43544⇼⇔∾↹⩛5022)⨵⪆(↹⩛4434⊨↹⩛14422)⊝⪿⪼(↹⩛20411⫲≸⪮↹⩛13020))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9349,"operation_count":15,"complexity_ratio":623.2666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4218,"base":6},"right_expr":{"type":"numeric_atoms","value":2680,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1897,"base":6},"right_expr":{"type":"numeric_atoms","value":4980,"base":6}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6193,"base":6},"right_expr":{"type":"numeric_atoms","value":3273,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1117,"base":6},"right_expr":{"type":"numeric_atoms","value":1329,"base":6}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":5950,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6040,"base":6},"right_expr":{"type":"numeric_atoms","value":1094,"base":6}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1030,"base":6},"right_expr":{"type":"numeric_atoms","value":2318,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2743,"base":6},"right_expr":{"type":"numeric_atoms","value":1956,"base":6}}}}},"used_operators":["QMFrweE19q","XIIwhv8d0m","rxpJgHHUmx","SR5kFfdi6N","rGHVDoGpnC","AFVx7xoS7T","gJLn6v0xnP","AHs5Up7iyr","2DQ55sFlQl","Nsiff2A1zJ","wztAlM01eG","tifHPKVTfV","3Oe9XWJUTD","vg4gO5BX6G","P3lXMJvFrc"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tcnh7f0tEr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛3541","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4218","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=2680, 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=-7518","layer":3},{"info":"number node, value=1897","layer":4},{"info":"number node, value=4980","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=4980, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7518, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6193","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=6193, right_input=3273, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1329, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=5950","layer":4},{"info":"compute unary expreesion, input=5950, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-5663","layer":3},{"info":"number node, value=6040","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=6040, right_input=1094, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4946","layer":3},{"info":"compute binary expreesion, left_input=-5663, right_input=-4946, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2318, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5151","layer":3},{"info":"number node, value=2743","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=1956, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2743","layer":3},{"info":"compute binary expreesion, left_input=5151, right_input=2743, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=71321","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=71321, 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=-50, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=853","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31310↱↹⩛20224)≭↹⩛12441⨟⋌⩍↹⩛35020⫌⩉⩟(↹⩛44401≥⨤⩑↹⩛23053)⇌⫙⪟↹⩛5101≹⇙⪍↹⩛10053⫡⨏((↸⊣↹⩛43314)⊴(↹⩛43544⇼⇔∾↹⩛5022)⨵⪆(↹⩛4434⊨↹⩛14422)⊝⪿⪼(↹⩛20411⫲≸⪮↹⩛13020))=↹⩛3541","reverse_text":"↹⩛3541=(↹⩛31310↱↹⩛20224)≭↹⩛12441⨟⋌⩍↹⩛35020⫌⩉⩟(↹⩛44401≥⨤⩑↹⩛23053)⇌⫙⪟↹⩛5101≹⇙⪍↹⩛10053⫡⨏((↸⊣↹⩛43314)⊴(↹⩛43544⇼⇔∾↹⩛5022)⨵⪆(↹⩛4434⊨↹⩛14422)⊝⪿⪼(↹⩛20411⫲≸⪮↹⩛13020))","cot":[{"info":"↹⩛31310↱↹⩛20224=↹⩛-54450","layer":3},{"info":"↹⩛12441⨟⋌⩍↹⩛35020=NaN","layer":3},{"info":"↹⩛-54450≭NaN=NaN","layer":2},{"info":"↹⩛44401≥⨤⩑↹⩛23053=↹⩛5414","layer":3},{"info":"↹⩛5101≹⇙⪍↹⩛10053=NaN","layer":3},{"info":"↹⩛5414⇌⫙⪟NaN=NaN","layer":2},{"info":"NaN⫌⩉⩟NaN=↹⩛-122","layer":1},{"info":"↸⊣↹⩛43314=↹⩛-42115","layer":3},{"info":"↹⩛43544⇼⇔∾↹⩛5022=↹⩛-34522","layer":3},{"info":"↹⩛-42115⊴↹⩛-34522=NaN","layer":2},{"info":"↹⩛4434⊨↹⩛14422=↹⩛35503","layer":3},{"info":"↹⩛20411⫲≸⪮↹⩛13020=↹⩛20411","layer":3},{"info":"↹⩛35503⊝⪿⪼↹⩛20411=↹⩛1310105","layer":2},{"info":"NaN⨵⪆↹⩛1310105=↹⩛424","layer":1},{"info":"↹⩛-122⫡⨏↹⩛424=↹⩛3541","layer":0}]} +{"id":214,"expression_no_base_symbol":"(⪡⇡≛(⊈(⇋↷$2016$)))⪄(($1982$⊍⩺⋍$1587$)⋅⇍(∥⊫$7386$))⪚($8020$↤⩊$5076$)⨂≜($1981$⫡⨏$3057$)","expression":"(⪡⇡≛(⊈(⇋↷↹⩛13200)))⪄((↹⩛13102⊍⩺⋍↹⩛11203)⋅⇍(∥⊫↹⩛54110))⪚(↹⩛101044↤⩊↹⩛35300)⨂≜(↹⩛13101⫡⨏↹⩛22053)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":584,"operation_count":11,"complexity_ratio":53.09090909090909,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2016,"base":6}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1982,"base":6},"right_expr":{"type":"numeric_atoms","value":1587,"base":6}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7386,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":8020,"base":6},"right_expr":{"type":"numeric_atoms","value":5076,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1981,"base":6},"right_expr":{"type":"numeric_atoms","value":3057,"base":6}}}}},"used_operators":["SUmda5xLS4","qL4PrbW1Dq","RHru8klgy8","SWo3A1KBJH","HrjLwUk87U","AdZkA7nFnk","OXDGMFPWZM","P8v4zCKN1o","k1SHOSEABc","13rbtpv6ld","QMFrweE19q"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","12rbrZMWeM","xUOZtlo3hN","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2016","layer":4},{"info":"compute unary expreesion, input=2016, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=16128","layer":3},{"info":"compute unary expreesion, input=16128, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-16302","layer":2},{"info":"compute unary expreesion, input=-16302, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-16302","layer":1},{"info":"number node, value=1982","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=1587, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=7386","layer":4},{"info":"compute unary expreesion, input=7386, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8254, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=8020","layer":4},{"info":"number node, value=5076","layer":4},{"info":"compute binary expreesion, left_input=8020, right_input=5076, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=3057, 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=16802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16802, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16302, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳���320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":6,"result_base":6,"text":"(⪡⇡≛(⊈(⇋↷↹⩛13200)))⪄((↹⩛13102⊍⩺⋍↹⩛11203)⋅⇍(∥⊫↹⩛54110))⪚(↹⩛101044↤⩊↹⩛35300)⨂≜(↹⩛13101⫡⨏↹⩛22053)=↹⩛30231","reverse_text":"↹⩛30231=(⪡⇡≛(⊈(⇋↷↹⩛13200)))⪄((↹⩛13102⊍⩺⋍↹⩛11203)⋅⇍(∥⊫↹⩛54110))⪚(↹⩛101044↤⩊↹⩛35300)⨂≜(↹⩛13101⫡⨏↹⩛22053)","cot":[{"info":"⇋↷↹⩛13200=↹⩛202400","layer":3},{"info":"⊈↹⩛202400=↹⩛-203250","layer":2},{"info":"⪡⇡≛↹⩛-203250=↹⩛-203250","layer":1},{"info":"↹⩛13102⊍⩺⋍↹⩛11203=NaN","layer":3},{"info":"∥⊫↹⩛54110=↹⩛102114","layer":3},{"info":"NaN⋅⇍↹⩛102114=↹⩛-34","layer":2},{"info":"↹⩛101044↤⩊↹⩛35300=NaN","layer":3},{"info":"↹⩛13101⫡⨏↹⩛22053=↹⩛205442","layer":3},{"info":"NaN⨂≜↹⩛205442=NaN","layer":2},{"info":"↹⩛-34⪚NaN=NaN","layer":1},{"info":"↹⩛-203250⪄NaN=↹⩛30231","layer":0}]} +{"id":215,"expression_no_base_symbol":"(($2951$⪒⊣⊆$3299$⨭⪣(∤$3877$))⪕(⨡↴(⊄⩳↩$3264$)))⨑⩅≇((⇨$2042$)⪎↠(↩$4503$)⨟⋌⩍($3584$≳⇉$3893$*(⪭⩑⪱$7466$)))","expression":"((↹⩛21355⪒⊣⊆↹⩛23135⨭⪣(∤↹⩛25541))⪕(⨡↴(⊄⩳↩↹⩛23040)))⨑⩅≇((⇨↹⩛13242)⪎↠(↩↹⩛32503)⨟⋌⩍(↹⩛24332≳⇉↹⩛30005*(⪭⩑⪱↹⩛54322)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":212461487,"operation_count":14,"complexity_ratio":15175820.5,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2951,"base":6},"right_expr":{"type":"numeric_atoms","value":3299,"base":6}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3877,"base":6}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3264,"base":6}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2042,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4503,"base":6}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3584,"base":6},"right_expr":{"type":"numeric_atoms","value":3893,"base":6}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":7466,"base":6}}}}},"used_operators":["h92wMvzauj","umQnsF7QlU","kn8WO9XteQ","eRqsBgTDFp","k2HlF1dBQh","liw5iZPkLH","8w2t5hMYqp","rGHVDoGpnC","3tVxb0NHM4","G9tJMlZ94a","jLgFTUHLKL","9HNa5Wba9A","V0kx6qeWkN","SIgE0bArFf"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2951","layer":4},{"info":"number node, value=3299","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=3299, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5902","layer":3},{"info":"number node, value=3877","layer":4},{"info":"compute unary expreesion, input=3877, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=5902, right_input=9, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4623","layer":2},{"info":"number node, value=3264","layer":4},{"info":"compute unary expreesion, input=3264, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9792","layer":3},{"info":"compute unary expreesion, input=-9792, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=4623, right_input=-55, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=10202","layer":1},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=4503","layer":4},{"info":"compute unary expreesion, input=4503, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33244","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-33244, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"number node, value=3584","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=3584, right_input=3893, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=7466","layer":4},{"info":"compute unary expreesion, input=7466, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10202, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21355⪒⊣⊆↹⩛23135⨭⪣(∤↹⩛25541))⪕(⨡↴(⊄⩳↩↹⩛23040)))⨑⩅≇((⇨↹⩛13242)⪎↠(↩↹⩛32503)⨟⋌⩍(↹⩛24332≳⇉↹⩛30005*(⪭⩑⪱↹⩛54322)))=NaN","reverse_text":"NaN=((↹⩛21355⪒⊣⊆↹⩛23135⨭⪣(∤↹⩛25541))⪕(⨡↴(⊄⩳↩↹⩛23040)))⨑⩅≇((⇨↹⩛13242)⪎↠(↩↹⩛32503)⨟⋌⩍(↹⩛24332≳⇉↹⩛30005*(⪭⩑⪱↹⩛54322)))","cot":[{"info":"↹⩛21355⪒⊣⊆↹⩛23135=↹⩛43154","layer":3},{"info":"∤↹⩛25541=↹⩛13","layer":3},{"info":"↹⩛43154⨭⪣↹⩛13=↹⩛33223","layer":2},{"info":"⊄⩳↩↹⩛23040=↹⩛-113200","layer":3},{"info":"⨡↴↹⩛-113200=↹⩛-131","layer":2},{"info":"↹⩛33223⪕↹⩛-131=↹⩛115122","layer":1},{"info":"⇨↹⩛13242=↹⩛0","layer":3},{"info":"↩↹⩛32503=↹⩛-413524","layer":3},{"info":"↹⩛0⪎↠↹⩛-413524=↹⩛4004","layer":2},{"info":"↹⩛24332≳⇉↹⩛30005=NaN","layer":3},{"info":"⪭⩑⪱↹⩛54322=↹⩛454202000","layer":3},{"info":"NaN*↹⩛454202000=NaN","layer":2},{"info":"↹⩛4004⨟⋌⩍NaN=NaN","layer":1},{"info":"↹⩛115122⨑⩅≇NaN=NaN","layer":0}]} +{"id":216,"expression_no_base_symbol":"((($1502$↙$4140$)⊋(⋠∜$4616$))⫿)⨎(($1034$⇗⋫)⨐⩸⫘($2265$⫳≱↱$2031$))≎⊠⪸($1660$⪛$2259$≀⩗∶$1800$⫁⪎$4728$)","expression":"(((↹⩛10542↙↹⩛31100)⊋(⋠∜↹⩛33212))⫿)⨎((↹⩛4442⇗⋫)⨐⩸⫘(↹⩛14253⫳≱↱↹⩛13223))≎⊠⪸(↹⩛11404⪛↹⩛14243≀⩗∶↹⩛12200⫁⪎↹⩛33520)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":113844,"operation_count":12,"complexity_ratio":9487.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1502,"base":6},"right_expr":{"type":"numeric_atoms","value":4140,"base":6}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4616,"base":6}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1034,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2265,"base":6},"right_expr":{"type":"numeric_atoms","value":2031,"base":6}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1660,"base":6},"right_expr":{"type":"numeric_atoms","value":2259,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1800,"base":6},"right_expr":{"type":"numeric_atoms","value":4728,"base":6}}}}},"used_operators":["rJVOvQCfKK","9tKT6PmtkH","W4tP9CfskL","yyfyN0ffXY","ZJpFhNJr3x","bJkvcejdHO","fu6greOZ01","hpqmaQFPrd","ZvLB05nZmT","8INZBEW696","uFcxV4UQCh","xRrnTEsQ6j"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rxpJgHHUmx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"↹⩛1041003","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=4140, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12420","layer":3},{"info":"number node, value=4616","layer":4},{"info":"compute unary expreesion, input=4616, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=20748","layer":3},{"info":"compute binary expreesion, left_input=-12420, right_input=20748, 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":2},{"info":"compute unary expreesion, input=-inf, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=inf","layer":1},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=2265","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=2031, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = 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=-201","layer":2},{"info":"number node, value=1660","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=2259, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1660","layer":3},{"info":"number node, value=1800","layer":4},{"info":"number node, value=4728","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=4728, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2928","layer":3},{"info":"compute binary expreesion, left_input=1660, right_input=-2928, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":2},{"info":"compute binary expreesion, left_input=-201, right_input=6, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=52059","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=52059, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=52059","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛10542↙↹⩛31100)⊋(⋠∜↹⩛33212))⫿)⨎((↹⩛4442⇗⋫)⨐⩸⫘(↹⩛14253⫳≱↱↹⩛13223))≎⊠⪸(↹⩛11404⪛↹⩛14243≀⩗∶↹⩛12200⫁⪎↹⩛33520)=↹⩛1041003","reverse_text":"↹⩛1041003=(((↹⩛10542↙↹⩛31100)⊋(⋠∜↹⩛33212))⫿)⨎((↹⩛4442⇗⋫)⨐⩸⫘(↹⩛14253⫳≱↱↹⩛13223))≎⊠⪸(↹⩛11404⪛↹⩛14243≀⩗∶↹⩛12200⫁⪎↹⩛33520)","cot":[{"info":"↹⩛10542↙↹⩛31100=↹⩛-133300","layer":3},{"info":"⋠∜↹⩛33212=↹⩛240020","layer":3},{"info":"↹⩛-133300⊋↹⩛240020=-Inf","layer":2},{"info":"-Inf⫿=Inf","layer":1},{"info":"↹⩛4442⇗⋫=NaN","layer":3},{"info":"↹⩛14253⫳≱↱↹⩛13223=↹⩛-540","layer":3},{"info":"NaN⨐⩸⫘↹⩛-540=↹⩛-533","layer":2},{"info":"↹⩛11404⪛↹⩛14243=↹⩛11404","layer":3},{"info":"↹⩛12200⫁⪎↹⩛33520=↹⩛-21320","layer":3},{"info":"↹⩛11404≀⩗∶↹⩛-21320=↹⩛10","layer":2},{"info":"↹⩛-533≎⊠⪸↹⩛10=↹⩛1041003","layer":1},{"info":"Inf⨎↹⩛1041003=↹⩛1041003","layer":0}]} +{"id":217,"expression_no_base_symbol":"⨈⫕(⊢≑≆((↘$1825$)≬⋮$1828$⪇≇⋚$4624$))","expression":"⨈⫕(⊢≑≆((↘↹⩛12241)≬⋮↹⩛12244⪇≇⋚↹⩛33224))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":426,"operation_count":5,"complexity_ratio":85.2,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1825,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1828,"base":6},"right_expr":{"type":"numeric_atoms","value":4624,"base":6}}}}},"used_operators":["megm06wKyl","27wFxooxGf","kbkesczE7y","LdNpr8hQHL","3sJ7IOPOlU"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","uFcxV4UQCh","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=257","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=4624, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=257, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=3924","layer":1},{"info":"compute unary expreesion, input=3924, 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":6,"result_base":6,"text":"⨈⫕(⊢≑≆((↘↹⩛12241)≬⋮↹⩛12244⪇≇⋚↹⩛33224))=↹⩛-33","reverse_text":"↹⩛-33=⨈⫕(⊢≑≆((↘↹⩛12241)≬⋮↹⩛12244⪇≇⋚↹⩛33224))","cot":[{"info":"↘↹⩛12241=↹⩛1105","layer":3},{"info":"↹⩛12244⪇≇⋚↹⩛33224=↹⩛0","layer":3},{"info":"↹⩛1105≬⋮↹⩛0=↹⩛4004","layer":2},{"info":"⊢≑≆↹⩛4004=↹⩛30100","layer":1},{"info":"⨈⫕↹⩛30100=↹⩛-33","layer":0}]} +{"id":218,"expression_no_base_symbol":"($2225$⋥≓≎$1329$⩨$1906$⋕⪉⪜$5288$)∊∟⩊((≸$2542$)⫳≱↱$1307$⪢$1963$)⊢($3682$⪔⊥$3721$≀⫉(⨰⫟⨤$2106$)⪭≯($1250$⫲≸⪮$2904$)⨼⩣$2498$↓$4656$)","expression":"(↹⩛14145⋥≓≎↹⩛10053⩨↹⩛12454⋕⪉⪜↹⩛40252)∊∟⩊((≸↹⩛15434)⫳≱↱↹⩛10015⪢↹⩛13031)⊢(↹⩛25014⪔⊥↹⩛25121≀⫉(⨰⫟⨤↹⩛13430)⪭≯(↹⩛5442⫲≸⪮↹⩛21240)⨼⩣↹⩛15322↓↹⩛33320)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":77167,"operation_count":15,"complexity_ratio":5144.466666666666,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2225,"base":6},"right_expr":{"type":"numeric_atoms","value":1329,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1906,"base":6},"right_expr":{"type":"numeric_atoms","value":5288,"base":6}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2542,"base":6}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1307,"base":6},"right_expr":{"type":"numeric_atoms","value":1963,"base":6}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3682,"base":6},"right_expr":{"type":"numeric_atoms","value":3721,"base":6}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2106,"base":6}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1250,"base":6},"right_expr":{"type":"numeric_atoms","value":2904,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2498,"base":6},"right_expr":{"type":"numeric_atoms","value":4656,"base":6}}}}},"used_operators":["5twsqlHp2o","ddLRYrp01A","2DlMacCsIx","Qy55tPpLXF","z6LnFrNh4i","ZvLB05nZmT","eOf03JbCpp","dWAJyo7jo9","XAx5wpdLa6","oZj3VtZNQx","HJ9erzHUuu","Tw270M8GLb","JxwMv5le6e","P3lXMJvFrc","Af076pWI7l"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","k8jYdgA6NY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"↹⩛-1044","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2225","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=1329, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=466","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=5288","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=5288, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=466, right_input=204, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=2542","layer":4},{"info":"compute unary expreesion, input=2542, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=1307","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1963, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-204, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":1},{"info":"number node, value=3682","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=3721, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7087","layer":3},{"info":"number node, value=2106","layer":4},{"info":"compute unary expreesion, input=2106, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7087, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1250","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2904, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1250","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=4656","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=4656, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1250, right_input=-134, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14145⋥≓≎↹⩛10053⩨↹⩛12454⋕⪉⪜↹⩛40252)∊∟⩊((≸↹⩛15434)⫳≱↱↹⩛10015⪢↹⩛13031)⊢(↹⩛25014⪔⊥↹⩛25121≀⫉(⨰⫟⨤↹⩛13430)⪭≯(↹⩛5442⫲≸⪮↹⩛21240)⨼⩣↹⩛15322↓↹⩛33320)=↹⩛-1044","reverse_text":"↹⩛-1044=(↹⩛14145⋥≓≎↹⩛10053⩨↹⩛12454⋕⪉⪜↹⩛40252)∊∟⩊((≸↹⩛15434)⫳≱↱↹⩛10015⪢↹⩛13031)⊢(↹⩛25014⪔⊥↹⩛25121≀⫉(⨰⫟⨤↹⩛13430)⪭≯(↹⩛5442⫲≸⪮↹⩛21240)⨼⩣↹⩛15322↓↹⩛33320)","cot":[{"info":"↹⩛14145⋥≓≎↹⩛10053=↹⩛2054","layer":3},{"info":"↹⩛12454⋕⪉⪜↹⩛40252=↹⩛540","layer":3},{"info":"↹⩛2054⩨↹⩛540=↹⩛0","layer":2},{"info":"≸↹⩛15434=↹⩛134","layer":3},{"info":"↹⩛10015⪢↹⩛13031=NaN","layer":3},{"info":"↹⩛134⫳≱↱NaN=↹⩛-540","layer":2},{"info":"↹⩛0∊∟⩊↹⩛-540=↹⩛0","layer":1},{"info":"↹⩛25014⪔⊥↹⩛25121=↹⩛52451","layer":3},{"info":"⨰⫟⨤↹⩛13430=NaN","layer":3},{"info":"↹⩛52451≀⫉NaN=↹⩛21022","layer":2},{"info":"↹⩛5442⫲≸⪮↹⩛21240=↹⩛5442","layer":3},{"info":"↹⩛15322↓↹⩛33320=↹⩛-342","layer":3},{"info":"↹⩛5442⨼⩣↹⩛-342=NaN","layer":2},{"info":"↹⩛21022⪭≯NaN=NaN","layer":1},{"info":"↹⩛0⊢NaN=↹⩛-1044","layer":0}]} +{"id":219,"expression_no_base_symbol":"((⊄⩳↩$2193$)⨳⩥⨓(∓$6451$))≥⨤⩑(⫎≠⋺($2293$⫲≸⪮$5056$))⊝","expression":"((⊄⩳↩↹⩛14053)⨳⩥⨓(∓↹⩛45511))≥⨤⩑(⫎≠⋺(↹⩛14341⫲≸⪮↹⩛35224))⊝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2344,"operation_count":7,"complexity_ratio":334.85714285714283,"tree":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2193,"base":6}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":6451,"base":6}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2293,"base":6},"right_expr":{"type":"numeric_atoms","value":5056,"base":6}}}}},"used_operators":["O6EZ0fifGK","gJLn6v0xnP","nCS4ZIUYfx","8w2t5hMYqp","OwUj7dcsQK","LYeZOJ0nQG","P3lXMJvFrc"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6579","layer":3},{"info":"number node, value=6451","layer":4},{"info":"compute unary expreesion, input=6451, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-101637","layer":3},{"info":"compute binary expreesion, left_input=-6579, right_input=-101637, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-95058","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=5056","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=5056, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2293","layer":3},{"info":"compute unary expreesion, input=2293, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-95058, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"((⊄⩳↩↹⩛14053)⨳⩥⨓(∓↹⩛45511))≥⨤⩑(⫎≠⋺(↹⩛14341⫲≸⪮↹⩛35224))⊝=↹⩛5414","reverse_text":"↹⩛5414=((⊄⩳↩↹⩛14053)⨳⩥⨓(∓↹⩛45511))≥⨤⩑(⫎≠⋺(↹⩛14341⫲≸⪮↹⩛35224))⊝","cot":[{"info":"⊄⩳↩↹⩛14053=↹⩛-50243","layer":3},{"info":"∓↹⩛45511=↹⩛-2102313","layer":3},{"info":"↹⩛-50243⨳⩥⨓↹⩛-2102313=↹⩛-2012030","layer":2},{"info":"↹⩛14341⫲≸⪮↹⩛35224=↹⩛14341","layer":3},{"info":"⫎≠⋺↹⩛14341=↹⩛0","layer":2},{"info":"↹⩛-2012030≥⨤⩑↹⩛0=↹⩛5414","layer":1},{"info":"↹⩛5414⊝=↹⩛5414","layer":0}]} +{"id":220,"expression_no_base_symbol":"↩(($1794$⨒$2696$)⫸⇳(⪲⇎$2281$)⊭↱(⊬↢(⨑⩽⪐$3940$)))","expression":"↩((↹⩛12150⨒↹⩛20252)⫸⇳(⪲⇎↹⩛14321)⊭↱(⊬↢(⨑⩽⪐↹⩛30124)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2739,"operation_count":7,"complexity_ratio":391.2857142857143,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1794,"base":6},"right_expr":{"type":"numeric_atoms","value":2696,"base":6}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2281,"base":6}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3940,"base":6}}}}},"used_operators":["jLgFTUHLKL","COABgblf1C","gx7XJ7hdpj","y75s1iXyHd","XPYlsWDdGa","WPoGxAaPR1","AF7qkfDlqP"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"↹⩛44132","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=2696, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10392","layer":3},{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4562","layer":3},{"info":"compute binary expreesion, left_input=-10392, right_input=4562, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=3940","layer":4},{"info":"compute unary expreesion, input=3940, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3667","layer":3},{"info":"compute unary expreesion, input=-3667, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-55, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-105","layer":1},{"info":"compute unary expreesion, input=-105, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=6104","layer":0}],"base":6,"result_base":6,"text":"↩((↹⩛12150⨒↹⩛20252)⫸⇳(⪲⇎↹⩛14321)⊭↱(⊬↢(⨑⩽⪐↹⩛30124)))=↹⩛44132","reverse_text":"↹⩛44132=↩((↹⩛12150⨒↹⩛20252)⫸⇳(⪲⇎↹⩛14321)⊭↱(⊬↢(⨑⩽⪐↹⩛30124)))","cot":[{"info":"↹⩛12150⨒↹⩛20252=↹⩛-120040","layer":3},{"info":"⪲⇎↹⩛14321=↹⩛33042","layer":3},{"info":"↹⩛-120040⫸⇳↹⩛33042=↹⩛0","layer":2},{"info":"⨑⩽⪐↹⩛30124=↹⩛-24551","layer":3},{"info":"⊬↢↹⩛-24551=↹⩛-131","layer":2},{"info":"↹⩛0⊭↱↹⩛-131=↹⩛-253","layer":1},{"info":"↩↹⩛-253=↹⩛44132","layer":0}]} +{"id":221,"expression_no_base_symbol":"-(⇨$2406$⊢$9167$)⪡($2045$⩵∡$3528$)⇂≾⫗($2119$≌$3414$)","expression":"-(⇨↹⩛15050⊢↹⩛110235)⪡(↹⩛13245⩵∡↹⩛24200)⇂≾⫗(↹⩛13451≌↹⩛23450)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3651,"operation_count":7,"complexity_ratio":521.5714285714286,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2406,"base":6},"right_expr":{"type":"numeric_atoms","value":9167,"base":6}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2045,"base":6},"right_expr":{"type":"numeric_atoms","value":3528,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2119,"base":6},"right_expr":{"type":"numeric_atoms","value":3414,"base":6}}}}},"used_operators":["t8gj7n24qd","oraRL2iQuh","G9tJMlZ94a","5twsqlHp2o","aBQ6xLxuTc","Y7wcNGrDQJ","lyWz822IDG"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","glklzrTFfD","tifHPKVTfV","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"↹⩛12544","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2406","layer":4},{"info":"number node, value=9167","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=9167, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5056","layer":3},{"info":"compute unary expreesion, input=-5056, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=2045","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=3528, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-683","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=3414, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-683, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":1},{"info":"compute unary expreesion, input=-1936, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1936","layer":0}],"base":6,"result_base":6,"text":"-(⇨↹⩛15050⊢↹⩛110235)⪡(↹⩛13245⩵∡↹⩛24200)⇂≾⫗(↹⩛13451≌↹⩛23450)=↹⩛12544","reverse_text":"↹⩛12544=-(⇨↹⩛15050⊢↹⩛110235)⪡(↹⩛13245⩵∡↹⩛24200)⇂≾⫗(↹⩛13451≌↹⩛23450)","cot":[{"info":"↹⩛15050⊢↹⩛110235=↹⩛-35224","layer":3},{"info":"⇨↹⩛-35224=↹⩛0","layer":2},{"info":"↹⩛13245⩵∡↹⩛24200=↹⩛-3055","layer":3},{"info":"↹⩛13451≌↹⩛23450=NaN","layer":3},{"info":"↹⩛-3055⇂≾⫗NaN=NaN","layer":2},{"info":"↹⩛0⪡NaN=↹⩛-12544","layer":1},{"info":"-↹⩛-12544=↹⩛12544","layer":0}]} +{"id":222,"expression_no_base_symbol":"⨰⫟⨤(⪁⇼($7748$⫉⨲⊜$1046$))⊮⊟↴($4796$⫲≸⪮$1948$%(↯⪼$7444$))","expression":"⨰⫟⨤(⪁⇼(↹⩛55512⫉⨲⊜↹⩛4502))⊮⊟↴(↹⩛34112⫲≸⪮↹⩛13004%(↯⪼↹⩛54244))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6032,"operation_count":7,"complexity_ratio":861.7142857142857,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":7748,"base":6},"right_expr":{"type":"numeric_atoms","value":1046,"base":6}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4796,"base":6},"right_expr":{"type":"numeric_atoms","value":1948,"base":6}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":7444,"base":6}}}}},"used_operators":["Tw270M8GLb","QDVgd2eftb","ZNVVrZ94lY","WhqkvtTD3t","k8jYdgA6NY","P3lXMJvFrc","8jW3W4yZS5"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"↹⩛240143210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7748","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=7748, right_input=1046, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=4796","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1948, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4796","layer":3},{"info":"number node, value=7444","layer":4},{"info":"compute unary expreesion, input=7444, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=4796, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-13","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=-13, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":6,"result_base":6,"text":"⨰⫟⨤(⪁⇼(↹⩛55512⫉⨲⊜↹⩛4502))⊮⊟↴(↹⩛34112⫲≸⪮↹⩛13004%(↯⪼↹⩛54244))=↹⩛240143210","reverse_text":"↹⩛240143210=⨰⫟⨤(⪁⇼(↹⩛55512⫉⨲⊜↹⩛4502))⊮⊟↴(↹⩛34112⫲≸⪮↹⩛13004%(↯⪼↹⩛54244))","cot":[{"info":"↹⩛55512⫉⨲⊜↹⩛4502=↹⩛0","layer":3},{"info":"⪁⇼↹⩛0=↹⩛1542","layer":2},{"info":"↹⩛34112⫲≸⪮↹⩛13004=↹⩛34112","layer":3},{"info":"↯⪼↹⩛54244=↹⩛-33","layer":3},{"info":"↹⩛34112%↹⩛-33=↹⩛-21","layer":2},{"info":"↹⩛1542⊮⊟↴↹⩛-21=↹⩛0","layer":1},{"info":"⨰⫟⨤↹⩛0=↹⩛240143210","layer":0}]} +{"id":223,"expression_no_base_symbol":"⇉-⫰(((⇖⫷⫕$9657$)⋭≵$2458$⨭⪣$1975$)∠⫱($4731$⫸⊐$1344$)∋$5701$⫞⩸⩒$1220$)","expression":"⇉-⫰(((⇖⫷⫕↹⩛112413)⋭≵↹⩛15214⨭⪣↹⩛13051)∠⫱(↹⩛33523⫸⊐↹⩛10120)∋↹⩛42221⫞⩸⩒↹⩛5352)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1152,"operation_count":8,"complexity_ratio":144.0,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":9657,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2458,"base":6},"right_expr":{"type":"numeric_atoms","value":1975,"base":6}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4731,"base":6},"right_expr":{"type":"numeric_atoms","value":1344,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5701,"base":6},"right_expr":{"type":"numeric_atoms","value":1220,"base":6}}}}},"used_operators":["IGFM8TAlm9","QvoQhV0rrE","jBncVCNhdl","UHmRx3INFg","kn8WO9XteQ","ukq6epAj5P","mqXw5SEYmG","XGcMNugi78"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"↹⩛32","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9657","layer":4},{"info":"compute unary expreesion, input=9657, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=2458","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=1975, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1179","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1179, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=4731","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=4731, right_input=1344, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5251","layer":3},{"info":"number node, value=5701","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=5701, right_input=1220, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1220","layer":3},{"info":"compute binary expreesion, left_input=5251, right_input=1220, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2747220","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=2747220, 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 = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":6,"result_base":6,"text":"⇉-⫰(((⇖⫷⫕↹⩛112413)⋭≵↹⩛15214⨭⪣↹⩛13051)∠⫱(↹⩛33523⫸⊐↹⩛10120)∋↹⩛42221⫞⩸⩒↹⩛5352)=↹⩛32","reverse_text":"↹⩛32=⇉-⫰(((⇖⫷⫕↹⩛112413)⋭≵↹⩛15214⨭⪣↹⩛13051)∠⫱(↹⩛33523⫸⊐↹⩛10120)∋↹⩛42221⫞⩸⩒↹⩛5352)","cot":[{"info":"⇖⫷⫕↹⩛112413=↹⩛21022","layer":3},{"info":"↹⩛15214⨭⪣↹⩛13051=↹⩛5243","layer":3},{"info":"↹⩛21022⋭≵↹⩛5243=↹⩛151","layer":2},{"info":"↹⩛33523⫸⊐↹⩛10120=↹⩛40151","layer":3},{"info":"↹⩛42221⫞⩸⩒↹⩛5352=↹⩛5352","layer":3},{"info":"↹⩛40151∋↹⩛5352=↹⩛134514340","layer":2},{"info":"↹⩛151∠⫱↹⩛134514340=↹⩛5414","layer":1},{"info":"⇉-⫰↹⩛5414=↹⩛32","layer":0}]} +{"id":224,"expression_no_base_symbol":"($2312$⫯⪬∳$1152$⨒$7719$⫣⪄⊒$1803$)⋾⨃∁(($4837$⫦⪉$1806$)⪛⫼($1022$⊍⩺⋍$2042$))≒∊((⇉-⫰$1937$)⊋≦⊧($1636$∲⫓$1879$))≌($2695$⊉↱≁$4640$⩚⊴⇥$4874$⪔⊥$1872$)","expression":"(↹⩛14412⫯⪬∳↹⩛5200⨒↹⩛55423⫣⪄⊒↹⩛12203)⋾⨃∁((↹⩛34221⫦⪉↹⩛12210)⪛⫼(↹⩛4422⊍⩺⋍↹⩛13242))≒∊((⇉-⫰↹⩛12545)⊋≦⊧(↹⩛11324∲⫓↹⩛12411))≌(↹⩛20251⊉↱≁↹⩛33252⩚⊴⇥↹⩛34322⪔⊥↹⩛12400)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14857,"operation_count":15,"complexity_ratio":990.4666666666667,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2312,"base":6},"right_expr":{"type":"numeric_atoms","value":1152,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":7719,"base":6},"right_expr":{"type":"numeric_atoms","value":1803,"base":6}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4837,"base":6},"right_expr":{"type":"numeric_atoms","value":1806,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1022,"base":6},"right_expr":{"type":"numeric_atoms","value":2042,"base":6}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1937,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1636,"base":6},"right_expr":{"type":"numeric_atoms","value":1879,"base":6}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2695,"base":6},"right_expr":{"type":"numeric_atoms","value":4640,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4874,"base":6},"right_expr":{"type":"numeric_atoms","value":1872,"base":6}}}}},"used_operators":["5KTvxBwnZo","212REbPD9h","y75s1iXyHd","d7ASUq0ydm","RabNbG55vr","hyuBjUqXlG","wscyQdcy20","OXDGMFPWZM","lyWz822IDG","oRDoc9rAEX","IGFM8TAlm9","i8ToyICDmI","NTOWxs364D","w2P8NbNXyL","HJ9erzHUuu"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2312","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=1152, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=10441","layer":3},{"info":"number node, value=7719","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=7719, right_input=1803, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7538","layer":3},{"info":"compute binary expreesion, left_input=10441, right_input=-7538, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=4837","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=4837, right_input=1806, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4774","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2042, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4774, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=1937","layer":4},{"info":"compute unary expreesion, input=1937, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=1636","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1879, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=2695","layer":4},{"info":"number node, value=4640","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=4640, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-2004","layer":3},{"info":"number node, value=4874","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=4874, right_input=1872, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=15553","layer":3},{"info":"compute binary expreesion, left_input=-2004, right_input=15553, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13670","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-13670, 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=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14412⫯⪬∳↹⩛5200⨒↹⩛55423⫣⪄⊒↹⩛12203)⋾⨃∁((↹⩛34221⫦⪉↹⩛12210)⪛⫼(↹⩛4422⊍⩺⋍↹⩛13242))≒∊((⇉-⫰↹⩛12545)⊋≦⊧(↹⩛11324∲⫓↹⩛12411))≌(↹⩛20251⊉↱≁↹⩛33252⩚⊴⇥↹⩛34322⪔⊥↹⩛12400)=NaN","reverse_text":"NaN=(↹⩛14412⫯��∳↹⩛5200⨒↹⩛55423⫣⪄⊒↹⩛12203)⋾⨃∁((↹⩛34221⫦⪉↹⩛12210)⪛⫼(↹⩛4422⊍⩺⋍↹⩛13242))≒∊((⇉-⫰↹⩛12545)⊋≦⊧(↹⩛11324∲⫓↹⩛12411))≌(↹⩛20251⊉↱≁↹⩛33252⩚⊴⇥↹⩛34322⪔⊥↹⩛12400)","cot":[{"info":"↹⩛14412⫯⪬∳↹⩛5200=↹⩛120201","layer":3},{"info":"↹⩛55423⫣⪄⊒↹⩛12203=↹⩛-54522","layer":3},{"info":"↹⩛120201⨒↹⩛-54522=↹⩛0","layer":2},{"info":"↹⩛34221⫦⪉↹⩛12210=↹⩛-34034","layer":3},{"info":"↹⩛4422⊍⩺⋍↹⩛13242=NaN","layer":3},{"info":"↹⩛-34034⪛⫼NaN=NaN","layer":2},{"info":"↹⩛0⋾⨃∁NaN=NaN","layer":1},{"info":"⇉-⫰↹⩛12545=↹⩛32","layer":3},{"info":"↹⩛11324∲⫓↹⩛12411=↹⩛0","layer":3},{"info":"↹⩛32⊋≦⊧↹⩛0=↹⩛520","layer":2},{"info":"↹⩛20251⊉↱≁↹⩛33252=↹⩛-13140","layer":3},{"info":"↹⩛34322⪔⊥↹⩛12400=↹⩛200001","layer":3},{"info":"↹⩛-13140⩚⊴⇥↹⩛200001=↹⩛-143142","layer":2},{"info":"↹⩛520≌↹⩛-143142=NaN","layer":1},{"info":"NaN≒∊NaN=NaN","layer":0}]} +{"id":225,"expression_no_base_symbol":"⊑(⨣⨃⇪(($3678$⫸⊐$4902$)⪮%⊝($7401$⨐⩸⫘$1402$)))","expression":"⊑(⨣⨃⇪((↹⩛25010⫸⊐↹⩛34410)⪮%⊝(↹⩛54133⨐⩸⫘↹⩛10254)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":457,"operation_count":5,"complexity_ratio":91.4,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3678,"base":6},"right_expr":{"type":"numeric_atoms","value":4902,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7401,"base":6},"right_expr":{"type":"numeric_atoms","value":1402,"base":6}}}}},"used_operators":["IkUmn0D7oy","AcOhelriW5","IWmyXbctLI","mqXw5SEYmG","fu6greOZ01"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3678","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=3678, right_input=4902, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19483","layer":3},{"info":"number node, value=7401","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=7401, right_input=1402, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19483, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":6,"result_base":6,"text":"⊑(⨣⨃⇪((↹⩛25010⫸⊐↹⩛34410)⪮%⊝(↹⩛54133⨐⩸⫘↹⩛10254)))=↹⩛520","reverse_text":"↹⩛520=⊑(⨣⨃⇪((↹⩛25010⫸⊐↹⩛34410)⪮%⊝(↹⩛54133⨐⩸⫘↹⩛10254)))","cot":[{"info":"↹⩛25010⫸⊐↹⩛34410=↹⩛230111","layer":3},{"info":"↹⩛54133⨐⩸⫘↹⩛10254=NaN","layer":3},{"info":"↹⩛230111⪮%⊝NaN=NaN","layer":2},{"info":"⨣⨃⇪NaN=↹⩛10301","layer":1},{"info":"⊑↹⩛10301=↹⩛520","layer":0}]} +{"id":226,"expression_no_base_symbol":"(($2829$≧⫂∧$2725$⊍⩺⋍$2903$⫸⊐$1231$)≬⇓$4397$∣$5724$⩘(⇖⫷⫕$1213$))↳∿⪆(($4149$⪘⫢$7766$)∌($5542$⊟⇱)≚⋢)","expression":"((↹⩛21033≧⫂∧↹⩛20341⊍⩺⋍↹⩛21235⫸⊐↹⩛5411)≬⇓↹⩛32205∣↹⩛42300⩘(⇖⫷⫕↹⩛5341))↳∿⪆((↹⩛31113⪘⫢↹⩛55542)∌(↹⩛41354⊟⇱)≚⋢)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3568,"operation_count":12,"complexity_ratio":297.3333333333333,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2829,"base":6},"right_expr":{"type":"numeric_atoms","value":2725,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2903,"base":6},"right_expr":{"type":"numeric_atoms","value":1231,"base":6}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4397,"base":6},"right_expr":{"type":"numeric_atoms","value":5724,"base":6}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1213,"base":6}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4149,"base":6},"right_expr":{"type":"numeric_atoms","value":7766,"base":6}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":5542,"base":6}}}}},"used_operators":["Cw4SuJJGHO","jWTQ2TZYIH","OXDGMFPWZM","Ph9nP6C5qx","mqXw5SEYmG","cHh1gJQ2o6","PPChnnnBFF","UHmRx3INFg","MahUMFw56D","8cLx32lpNA","oacrs7FA3X","03sUfWo75k"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","3ViojmjbAp","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2829","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=2725, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2252","layer":3},{"info":"number node, value=2903","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=1231, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4799","layer":3},{"info":"compute binary expreesion, left_input=2252, right_input=4799, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4397","layer":4},{"info":"number node, value=5724","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=5724, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4397","layer":3},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=4397, right_input=2822, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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=4149","layer":4},{"info":"number node, value=7766","layer":4},{"info":"compute binary expreesion, left_input=4149, right_input=7766, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8174","layer":3},{"info":"number node, value=5542","layer":4},{"info":"compute unary expreesion, input=5542, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=11400","layer":3},{"info":"compute binary expreesion, left_input=8174, right_input=11400, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-11400","layer":2},{"info":"compute unary expreesion, input=-11400, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-89, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21033≧⫂∧↹⩛20341⊍⩺⋍↹⩛21235⫸⊐↹⩛5411)≬⇓↹⩛32205∣↹⩛42300⩘(⇖⫷⫕↹⩛5341))↳∿⪆((↹⩛31113⪘⫢↹⩛55542)∌(↹⩛41354⊟⇱)≚⋢)=NaN","reverse_text":"NaN=((↹⩛21033≧⫂∧↹⩛20341⊍⩺⋍↹⩛21235⫸⊐↹⩛5411)≬⇓↹⩛32205∣↹⩛42300⩘(⇖⫷⫕↹⩛5341))↳∿⪆((↹⩛31113⪘⫢↹⩛55542)∌(↹⩛41354⊟⇱)≚⋢)","cot":[{"info":"↹⩛21033≧⫂∧↹⩛20341=↹⩛14232","layer":3},{"info":"↹⩛21235⫸⊐↹⩛5411=↹⩛34115","layer":3},{"info":"↹⩛14232⊍⩺⋍↹⩛34115=NaN","layer":2},{"info":"↹⩛32205∣↹⩛42300=↹⩛32205","layer":3},{"info":"⇖⫷⫕↹⩛5341=↹⩛21022","layer":3},{"info":"↹⩛32205⩘↹⩛21022=↹⩛424","layer":2},{"info":"NaN≬⇓↹⩛424=↹⩛-34","layer":1},{"info":"↹⩛31113⪘⫢↹⩛55542=↹⩛101502","layer":3},{"info":"↹⩛41354⊟⇱=↹⩛124440","layer":3},{"info":"↹⩛101502∌↹⩛124440=↹⩛-124440","layer":2},{"info":"↹⩛-124440≚⋢=↹⩛-225","layer":1},{"info":"↹⩛-34↳∿⪆↹⩛-225=NaN","layer":0}]} +{"id":227,"expression_no_base_symbol":"⩩((($1097$/$1404$)⫘$5413$⪔⊥$5167$)⊢(∂⩏⊆(⨝⨆$3520$)))","expression":"⩩(((↹⩛5025/↹⩛10300)⫘↹⩛41021⪔⊥↹⩛35531)⊢(∂⩏⊆(⨝⨆↹⩛24144)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1059,"operation_count":7,"complexity_ratio":151.28571428571428,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1097,"base":6},"right_expr":{"type":"numeric_atoms","value":1404,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5413,"base":6},"right_expr":{"type":"numeric_atoms","value":5167,"base":6}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3520,"base":6}}}}},"used_operators":["kMhfGuqI2H","5twsqlHp2o","48vC8HMD2b","XhwjNDsVaA","HJ9erzHUuu","8WDwsbhb0R","bQ67fsrMVf"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","14qkJME0vr","eLAdDNolq6","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1404, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5413","layer":4},{"info":"number node, value=5167","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=5167, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=11119","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11119, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"number node, value=3520","layer":4},{"info":"compute unary expreesion, input=3520, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3311","layer":3},{"info":"compute unary expreesion, input=3311, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-10012","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10012, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩩(((↹⩛5025/↹⩛10300)⫘↹⩛41021⪔⊥↹⩛35531)⊢(∂⩏⊆(⨝⨆↹⩛24144)))=NaN","reverse_text":"NaN=⩩(((↹⩛5025/↹⩛10300)⫘↹⩛41021⪔⊥↹⩛35531)⊢(∂⩏⊆(⨝⨆↹⩛24144)))","cot":[{"info":"↹⩛5025/↹⩛10300=↹⩛0","layer":3},{"info":"↹⩛41021⪔⊥↹⩛35531=↹⩛123251","layer":3},{"info":"↹⩛0⫘↹⩛123251=NaN","layer":2},{"info":"⨝⨆↹⩛24144=↹⩛23155","layer":3},{"info":"∂⩏⊆↹⩛23155=↹⩛-114204","layer":2},{"info":"NaN⊢↹⩛-114204=NaN","layer":1},{"info":"⩩NaN=NaN","layer":0}]} +{"id":228,"expression_no_base_symbol":"((($2589$⨔≚≋$1507$)⩇∃⫛($1969$⊪))≁($5278$⪠⩆⊳)⨂≜($4354$⩁⩘$9213$))⊕∕(⩦⊞$2739$≁$1114$∣$7607$⊉↱≁$1817$)","expression":"(((↹⩛15553⨔≚≋↹⩛10551)⩇∃⫛(↹⩛13041⊪))≁(↹⩛40234⪠⩆⊳)⨂≜(↹⩛32054⩁⩘↹⩛110353))⊕∕(⩦⊞↹⩛20403≁↹⩛5054∣↹⩛55115⊉↱≁↹⩛12225)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":313,"operation_count":12,"complexity_ratio":26.083333333333332,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2589,"base":6},"right_expr":{"type":"numeric_atoms","value":1507,"base":6}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1969,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5278,"base":6}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4354,"base":6},"right_expr":{"type":"numeric_atoms","value":9213,"base":6}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2739,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7607,"base":6},"right_expr":{"type":"numeric_atoms","value":1817,"base":6}}}}},"used_operators":["9cloC0Ngie","8N2wDY1A35","1aApVXNlOP","Z57zeUYC9z","zVYPLywUTj","k1SHOSEABc","JLbD19bQDL","gub5Cegaqo","u7fv1HBiaC","PPChnnnBFF","w2P8NbNXyL"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=1507, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1969","layer":4},{"info":"compute unary expreesion, input=1969, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9872, 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=-9399","layer":2},{"info":"number node, value=5278","layer":4},{"info":"compute unary expreesion, input=5278, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=4354","layer":4},{"info":"number node, value=9213","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=9213, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=37800","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=37800, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9399, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=2739","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=1114, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=13535","layer":3},{"info":"number node, value=7607","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=7607, right_input=1817, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=65116","layer":3},{"info":"compute binary expreesion, left_input=13535, right_input=65116, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=13535","layer":2},{"info":"compute unary expreesion, input=13535, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-13262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13262, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛15553⨔≚≋↹⩛10551)⩇∃⫛(↹⩛13041⊪))≁(↹⩛40234⪠⩆⊳)⨂≜(↹⩛32054⩁⩘↹⩛110353))⊕∕(⩦⊞↹⩛20403≁↹⩛5054∣↹⩛55115⊉↱≁↹⩛12225)=NaN","reverse_text":"NaN=(((↹⩛15553⨔≚≋↹⩛10551)⩇∃⫛(↹⩛13041⊪))≁(↹⩛40234⪠⩆⊳)⨂≜(↹⩛32054⩁⩘↹⩛110353))⊕∕(⩦⊞↹⩛20403≁↹⩛5054∣↹⩛55115⊉↱≁↹⩛12225)","cot":[{"info":"↹⩛15553⨔≚≋↹⩛10551=↹⩛113412","layer":3},{"info":"↹⩛13041⊪=↹⩛0","layer":3},{"info":"↹⩛113412⩇∃⫛↹⩛0=↹⩛-111303","layer":2},{"info":"↹⩛40234⪠⩆⊳=↹⩛0","layer":3},{"info":"↹⩛32054⩁⩘↹⩛110353=↹⩛451000","layer":3},{"info":"↹⩛0⨂≜↹⩛451000=NaN","layer":2},{"info":"↹⩛-111303≁NaN=NaN","layer":1},{"info":"↹⩛20403≁↹⩛5054=↹⩛142355","layer":3},{"info":"↹⩛55115⊉↱≁↹⩛12225=↹⩛1221244","layer":3},{"info":"↹⩛142355∣↹⩛1221244=↹⩛142355","layer":2},{"info":"⩦⊞↹⩛142355=↹⩛-141222","layer":1},{"info":"NaN⊕∕↹⩛-141222=NaN","layer":0}]} +{"id":229,"expression_no_base_symbol":"(($1323$⋷$6271$)≭(→⩰$1021$)↙(↨⩢⫨$8094$)⨔≚≋($6339$⊟⇱))⩣⫁∢($3659$∇⊂⋱$1453$⩹(↘$2173$)⫡⨏$1073$⪝$2884$⊭↱$2409$⩷∴$2847$)","expression":"((↹⩛10043⋷↹⩛45011)≭(→⩰↹⩛4421)↙(↨⩢⫨↹⩛101250)⨔≚≋(↹⩛45203⊟⇱))⩣⫁∢(↹⩛24535∇⊂⋱↹⩛10421⩹(↘↹⩛14021)⫡⨏↹⩛4545⪝↹⩛21204⊭↱↹⩛15053⩷∴↹⩛21103)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2016,"operation_count":15,"complexity_ratio":134.4,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1323,"base":6},"right_expr":{"type":"numeric_atoms","value":6271,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1021,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":8094,"base":6}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":6339,"base":6}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3659,"base":6},"right_expr":{"type":"numeric_atoms","value":1453,"base":6}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2173,"base":6}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1073,"base":6},"right_expr":{"type":"numeric_atoms","value":2884,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2409,"base":6},"right_expr":{"type":"numeric_atoms","value":2847,"base":6}}}}},"used_operators":["JDUIKTTSIa","yyfyN0ffXY","rxpJgHHUmx","23Mk6UjR3U","o8Pngz0Tml","Z57zeUYC9z","Z5CJsN7DuW","03sUfWo75k","QMFrweE19q","2Wsdkap16l","nhYeJWJD5X","LdNpr8hQHL","COABgblf1C","wicAB68Tmb","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"number node, value=6271","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=6271, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11219","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11219, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=8094","layer":4},{"info":"compute unary expreesion, input=8094, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=6339","layer":4},{"info":"compute unary expreesion, input=6339, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=12994","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12994, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-106712","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-106712, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=3659","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=3659, right_input=1453, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6772","layer":3},{"info":"number node, value=2173","layer":4},{"info":"compute unary expreesion, input=2173, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=213","layer":3},{"info":"compute binary expreesion, left_input=6772, right_input=213, 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=211","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2884, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=2847, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-908","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=-908, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2285","layer":2},{"info":"compute binary expreesion, left_input=211, right_input=-2285, 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=-2732","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2732, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10043⋷↹⩛45011)≭(→⩰↹⩛4421)↙(↨⩢⫨↹⩛101250)⨔≚≋(↹⩛45203⊟⇱))⩣⫁∢(↹⩛24535∇⊂⋱↹⩛10421⩹(↘↹⩛14021)⫡⨏↹⩛4545⪝↹⩛21204⊭↱↹⩛15053⩷∴↹⩛21103)=NaN","reverse_text":"NaN=((↹⩛10043⋷↹⩛45011)≭(→⩰↹⩛4421)↙(↨⩢⫨↹⩛101250)⨔≚≋(↹⩛45203⊟⇱))⩣⫁∢(↹⩛24535∇⊂⋱↹⩛10421⩹(↘↹⩛14021)⫡⨏↹⩛4545⪝↹⩛21204⊭↱↹⩛15053⩷∴↹⩛21103)","cot":[{"info":"↹⩛10043⋷↹⩛45011=↹⩛123535","layer":3},{"info":"→⩰↹⩛4421=NaN","layer":3},{"info":"↹⩛123535≭NaN=NaN","layer":2},{"info":"↨⩢⫨↹⩛101250=↹⩛0","layer":3},{"info":"↹⩛45203⊟⇱=↹⩛140054","layer":3},{"info":"↹⩛0⨔≚≋↹⩛140054=↹⩛-2142012","layer":2},{"info":"NaN↙↹⩛-2142012=NaN","layer":1},{"info":"↹⩛24535∇⊂⋱↹⩛10421=↹⩛51204","layer":3},{"info":"↘↹⩛14021=↹⩛553","layer":3},{"info":"↹⩛51204⩹↹⩛553=↹⩛551","layer":2},{"info":"↹⩛4545⪝↹⩛21204=↹⩛1033","layer":3},{"info":"↹⩛15053⩷∴↹⩛21103=↹⩛-4112","layer":3},{"info":"↹⩛1033⊭↱↹⩛-4112=↹⩛-14325","layer":2},{"info":"↹⩛551⫡⨏↹⩛-14325=↹⩛-20352","layer":1},{"info":"NaN⩣⫁∢↹⩛-20352=NaN","layer":0}]} +{"id":230,"expression_no_base_symbol":"(($1178$⪕$1224$⨽($1050$∲⫓$1339$))⊔((⋗⩬⋾$1634$)⫦⪉($1086$⫔⩽⩺$4778$)))⨐(⇠(⊬↢$5068$⨽∌$4968$))","expression":"((↹⩛5242⪕↹⩛5400⨽(↹⩛4510∲⫓↹⩛10111))⊔((⋗⩬⋾↹⩛11322)⫦⪉(↹⩛5010⫔⩽⩺↹⩛34042)))⨐(⇠(⊬↢↹⩛35244⨽∌↹⩛35000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2251,"operation_count":11,"complexity_ratio":204.63636363636363,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1178,"base":6},"right_expr":{"type":"numeric_atoms","value":1224,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1050,"base":6},"right_expr":{"type":"numeric_atoms","value":1339,"base":6}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1634,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1086,"base":6},"right_expr":{"type":"numeric_atoms","value":4778,"base":6}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5068,"base":6},"right_expr":{"type":"numeric_atoms","value":4968,"base":6}}}}},"used_operators":["Noe24qw2ks","E4l6HwMY31","8HhzD0ZcuI","umQnsF7QlU","i8ToyICDmI","wscyQdcy20","DpFCA1CohY","i9eR4S00cU","18saOjeKKm","WPoGxAaPR1","9samAPKr6k"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"↹⩛-13503310320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1224, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2033","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1339, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2033, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12397953","layer":2},{"info":"number node, value=1634","layer":4},{"info":"compute unary expreesion, input=1634, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4902","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=4778, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4902, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=13642","layer":2},{"info":"compute binary expreesion, left_input=-12397953, right_input=13642, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=49631028","layer":1},{"info":"number node, value=5068","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=5068, right_input=4968, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-2584","layer":2},{"info":"compute unary expreesion, input=-2584, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=49631028, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-99262056","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5242⪕↹⩛5400⨽(↹⩛4510∲⫓↹⩛10111))⊔((⋗⩬⋾↹⩛11322)⫦⪉(↹⩛5010⫔⩽⩺↹⩛34042)))⨐(⇠(⊬↢↹⩛35244⨽∌↹⩛35000))=↹⩛-13503310320","reverse_text":"↹⩛-13503310320=((↹⩛5242⪕↹⩛5400⨽(↹⩛4510∲⫓↹⩛10111))⊔((⋗⩬⋾↹⩛11322)⫦⪉(↹⩛5010⫔⩽⩺↹⩛34042)))⨐(⇠(⊬↢↹⩛35244⨽∌↹⩛35000))","cot":[{"info":"↹⩛5242⪕↹⩛5400=↹⩛13225","layer":3},{"info":"↹⩛4510∲⫓↹⩛10111=↹⩛0","layer":3},{"info":"↹⩛13225⨽↹⩛0=↹⩛-1121421533","layer":2},{"info":"⋗⩬⋾↹⩛11322=↹⩛-34410","layer":3},{"info":"↹⩛5010⫔⩽⩺↹⩛34042=NaN","layer":3},{"info":"↹⩛-34410⫦⪉NaN=↹⩛143054","layer":2},{"info":"↹⩛-1121421533⊔↹⩛143054=↹⩛4531433140","layer":1},{"info":"↹⩛35244⨽∌↹⩛35000=↹⩛0","layer":3},{"info":"⊬↢↹⩛0=↹⩛-15544","layer":2},{"info":"⇠↹⩛-15544=↹⩛0","layer":1},{"info":"↹⩛4531433140⨐↹⩛0=↹⩛-13503310320","layer":0}]} +{"id":231,"expression_no_base_symbol":"((⪸$4708$)↤⩊($1966$⊝⪿⪼$1963$)⇯⋐)⫰⋱(⊲⪭(⇨$1757$))⊨(($2454$⊴$1451$)⫽⇹≛)","expression":"((⪸↹⩛33444)↤⩊(↹⩛13034⊝⪿⪼↹⩛13031)⇯⋐)⫰⋱(⊲⪭(⇨↹⩛12045))⊨((↹⩛15210⊴↹⩛10415)⫽⇹≛)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2339,"operation_count":10,"complexity_ratio":233.9,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4708,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1966,"base":6},"right_expr":{"type":"numeric_atoms","value":1963,"base":6}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1757,"base":6}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2454,"base":6},"right_expr":{"type":"numeric_atoms","value":1451,"base":6}}}}},"used_operators":["6o9Blt3TJ6","LkLIoiE525","13rbtpv6ld","86A5ENbKR9","3Oe9XWJUTD","vg4gO5BX6G","k7HXdKtiEU","G9tJMlZ94a","NNaDxxp6OQ","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","i8ToyICDmI","xUOZtlo3hN","k8jYdgA6NY","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4708","layer":4},{"info":"compute unary expreesion, input=4708, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-79827","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1963, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=31476","layer":3},{"info":"compute binary expreesion, left_input=-79827, right_input=31476, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":1},{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":2},{"info":"number node, value=2454","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=1451, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⪸↹⩛33444)↤⩊(↹⩛13034⊝⪿⪼↹⩛13031)⇯⋐)⫰⋱(⊲⪭(⇨↹⩛12045))⊨((↹⩛15210⊴↹⩛10415)⫽⇹≛)=NaN","reverse_text":"NaN=((⪸↹⩛33444)↤⩊(↹⩛13034⊝⪿⪼↹⩛13031)⇯⋐)⫰⋱(⊲⪭(⇨↹⩛12045))⊨((↹⩛15210⊴↹⩛10415)⫽⇹≛)","cot":[{"info":"⪸↹⩛33444=↹⩛-1413323","layer":3},{"info":"↹⩛13034⊝⪿⪼↹⩛13031=↹⩛401420","layer":3},{"info":"↹⩛-1413323↤⩊↹⩛401420=NaN","layer":2},{"info":"NaN⇯⋐=NaN","layer":1},{"info":"⇨↹⩛12045=↹⩛0","layer":3},{"info":"⊲⪭↹⩛0=↹⩛-450","layer":2},{"info":"↹⩛15210⊴↹⩛10415=NaN","layer":3},{"info":"NaN⫽⇹≛=NaN","layer":2},{"info":"↹⩛-450⊨NaN=NaN","layer":1},{"info":"NaN⫰⋱NaN=NaN","layer":0}]} +{"id":232,"expression_no_base_symbol":"⊁⨺(($1034$↡⊰⫅$4256$)⪡$2382$≀⫉$2178$)≌($1123$↸$1435$⊾⪯⋞$7521$⨻⩈⩔$3250$)","expression":"⊁⨺((↹⩛4442↡⊰⫅↹⩛31412)⪡↹⩛15010≀⫉↹⩛14030)≌(↹⩛5111↸↹⩛10351⊾⪯⋞↹⩛54453⨻⩈⩔↹⩛23014)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":164330,"operation_count":8,"complexity_ratio":20541.25,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1034,"base":6},"right_expr":{"type":"numeric_atoms","value":4256,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2382,"base":6},"right_expr":{"type":"numeric_atoms","value":2178,"base":6}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1123,"base":6},"right_expr":{"type":"numeric_atoms","value":1435,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":7521,"base":6},"right_expr":{"type":"numeric_atoms","value":3250,"base":6}}}}},"used_operators":["PxiHyQbrIp","lyWz822IDG","oraRL2iQuh","VCtxkLNOzz","oZj3VtZNQx","HK0tfVPux8","1eCjFl0mb9","nEsXyWgiOK"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=4256","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=4256, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8512","layer":3},{"info":"number node, value=2382","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=2178, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=8512, right_input=2822, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1435, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1123","layer":3},{"info":"number node, value=7521","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=7521, right_input=3250, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=51767","layer":3},{"info":"compute binary expreesion, left_input=1123, right_input=51767, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=103108","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=103108, 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 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":6,"result_base":6,"text":"⊁⨺((↹⩛4442↡⊰⫅↹⩛31412)⪡↹⩛15010≀⫉↹⩛14030)≌(↹⩛5111↸↹⩛10351⊾⪯⋞↹⩛54453⨻⩈⩔↹⩛23014)=NaN","reverse_text":"NaN=⊁⨺((↹⩛4442↡⊰⫅↹⩛31412)⪡↹⩛15010≀⫉↹⩛14030)≌(↹⩛5111↸↹⩛10351⊾⪯⋞↹⩛54453⨻⩈⩔↹⩛23014)","cot":[{"info":"↹⩛4442↡⊰⫅↹⩛31412=↹⩛103224","layer":3},{"info":"↹⩛15010≀⫉↹⩛14030=↹⩛21022","layer":3},{"info":"↹⩛103224⪡↹⩛21022=↹⩛255","layer":2},{"info":"↹⩛5111↸↹⩛10351=↹⩛5111","layer":3},{"info":"↹⩛54453⨻⩈⩔↹⩛23014=↹⩛1035355","layer":3},{"info":"↹⩛5111⊾⪯⋞↹⩛1035355=↹⩛2113204","layer":2},{"info":"↹⩛255≌↹⩛2113204=NaN","layer":1},{"info":"⊁⨺NaN=NaN","layer":0}]} +{"id":233,"expression_no_base_symbol":"⇨(($1017$⋻⩜⩜$1366$)⋾⨃∁$1074$∌$3289$)⪟⇏($8837$⪟⇏$1350$∴($4462$⨳⩥⨓$3941$))","expression":"⇨((↹⩛4413⋻⩜⩜↹⩛10154)⋾⨃∁↹⩛4550∌↹⩛23121)⪟⇏(↹⩛104525⪟⇏↹⩛10130∴(↹⩛32354⨳⩥⨓↹⩛30125))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22516,"operation_count":8,"complexity_ratio":2814.5,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1017,"base":6},"right_expr":{"type":"numeric_atoms","value":1366,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1074,"base":6},"right_expr":{"type":"numeric_atoms","value":3289,"base":6}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":8837,"base":6},"right_expr":{"type":"numeric_atoms","value":1350,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4462,"base":6},"right_expr":{"type":"numeric_atoms","value":3941,"base":6}}}}},"used_operators":["G9tJMlZ94a","GODebY97qR","212REbPD9h","oDCm7WA9JY","8cLx32lpNA","hrf7POJlIJ","nCS4ZIUYfx"],"dependent_operators":["k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1366, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2034","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=3289, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3289","layer":3},{"info":"compute binary expreesion, left_input=2034, right_input=-3289, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=108214584","layer":2},{"info":"number node, value=8837","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=8837, right_input=1350, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4462","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=3941, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-521","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-521, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1646","layer":2},{"info":"compute binary expreesion, left_input=108214584, right_input=1646, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇨((↹⩛4413⋻⩜⩜↹⩛10154)⋾⨃∁↹⩛4550∌↹⩛23121)⪟⇏(↹⩛104525⪟⇏↹⩛10130∴(↹⩛32354⨳⩥⨓↹⩛30125))=NaN","reverse_text":"NaN=⇨((↹⩛4413⋻⩜⩜↹⩛10154)⋾⨃∁↹⩛4550∌↹⩛23121)⪟⇏(↹⩛104525⪟⇏↹⩛10130∴(↹⩛32354⨳⩥⨓↹⩛30125))","cot":[{"info":"↹⩛4413⋻⩜⩜↹⩛10154=↹⩛13230","layer":3},{"info":"↹⩛4550∌↹⩛23121=↹⩛-23121","layer":3},{"info":"↹⩛13230⋾⨃∁↹⩛-23121=↹⩛14423225240","layer":2},{"info":"↹⩛104525⪟⇏↹⩛10130=↹⩛-1","layer":3},{"info":"↹⩛32354⨳⩥⨓↹⩛30125=↹⩛-2225","layer":3},{"info":"↹⩛-1∴↹⩛-2225=↹⩛11342","layer":2},{"info":"↹⩛14423225240⪟⇏↹⩛11342=↹⩛0","layer":1},{"info":"⇨↹⩛0=NaN","layer":0}]} +{"id":234,"expression_no_base_symbol":"((($5927$⇮⋭$4743$)⇡)∟)↡⊰⫅(($3972$≬⋮$1195$⫦⪉$1228$↺$1334$)⫩⊇)","expression":"(((↹⩛43235⇮⋭↹⩛33543)⇡)∟)↡⊰⫅((↹⩛30220≬⋮↹⩛5311⫦⪉↹⩛5404↺↹⩛10102)⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":52676,"operation_count":8,"complexity_ratio":6584.5,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5927,"base":6},"right_expr":{"type":"numeric_atoms","value":4743,"base":6}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3972,"base":6},"right_expr":{"type":"numeric_atoms","value":1195,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1228,"base":6},"right_expr":{"type":"numeric_atoms","value":1334,"base":6}}}}},"used_operators":["VCtxkLNOzz","hTbEZDJLEm","UqFzSgLMvQ","vkpjKywKVM","BjRHVeLaeN","wscyQdcy20","kbkesczE7y","7j4O788W3g"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5927","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=5927, right_input=4743, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute unary expreesion, input=-2917, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"number node, value=3972","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=3972, right_input=1195, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1228","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1334, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1334","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=1334, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3164","layer":2},{"info":"compute unary expreesion, input=3164, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3122","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-3122, 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":6,"result_base":6,"text":"(((↹⩛43235⇮⋭↹⩛33543)⇡)∟)↡⊰⫅((↹⩛30220≬⋮↹⩛5311⫦⪉↹⩛5404↺↹⩛10102)⫩⊇)=NaN","reverse_text":"NaN=(((↹⩛43235⇮⋭↹⩛33543)⇡)∟)↡⊰⫅((↹⩛30220≬⋮↹⩛5311⫦⪉↹⩛5404↺↹⩛10102)⫩⊇)","cot":[{"info":"↹⩛43235⇮⋭↹⩛33543=↹⩛-2105","layer":3},{"info":"↹⩛-2105⇡=↹⩛-21301","layer":2},{"info":"↹⩛-21301∟=↹⩛305","layer":1},{"info":"↹⩛30220≬⋮↹⩛5311=↹⩛4004","layer":3},{"info":"↹⩛5404↺↹⩛10102=↹⩛10102","layer":3},{"info":"↹⩛4004⫦⪉↹⩛10102=↹⩛22352","layer":2},{"info":"↹⩛22352⫩⊇=↹⩛-22242","layer":1},{"info":"↹⩛305↡⊰⫅↹⩛-22242=NaN","layer":0}]} +{"id":235,"expression_no_base_symbol":"(⨵≀≌$6907$+⪬∐$3482$⊝⪿⪼(↡$1465$))⨓(($1131$⫸⊐$1069$)⫍⨯↯)⫗⊷⫓($1568$⨽∌$2947$↺$5071$⪔⊥$6530$)","expression":"(⨵≀≌↹⩛51551+⪬∐↹⩛24042⊝⪿⪼(↡↹⩛10441))⨓((↹⩛5123⫸⊐↹⩛4541)⫍⨯↯)⫗⊷⫓(↹⩛11132⨽∌↹⩛21351↺↹⩛35251⪔⊥↹⩛50122)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":301827,"operation_count":11,"complexity_ratio":27438.81818181818,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6907,"base":6},"right_expr":{"type":"numeric_atoms","value":3482,"base":6}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1465,"base":6}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1131,"base":6},"right_expr":{"type":"numeric_atoms","value":1069,"base":6}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1568,"base":6},"right_expr":{"type":"numeric_atoms","value":2947,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5071,"base":6},"right_expr":{"type":"numeric_atoms","value":6530,"base":6}}}}},"used_operators":["3ViojmjbAp","srAu1WTS94","3Oe9XWJUTD","2GS7woTJqF","MXaNJeIAZ3","zashukvMKz","ZcwmYACASQ","mqXw5SEYmG","7j4O788W3g","9samAPKr6k","HJ9erzHUuu"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"↹⩛335","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6907","layer":4},{"info":"number node, value=3482","layer":4},{"info":"compute binary expreesion, left_input=6907, right_input=3482, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-20721","layer":3},{"info":"number node, value=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=13185","layer":3},{"info":"compute binary expreesion, left_input=-20721, right_input=13185, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-300883","layer":2},{"info":"compute unary expreesion, input=-300883, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":1},{"info":"number node, value=1131","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1069, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4151","layer":3},{"info":"compute unary expreesion, input=4151, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=4118","layer":2},{"info":"number node, value=1568","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=2947, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=5071","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=5071, right_input=6530, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7025","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7025, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7025","layer":2},{"info":"compute binary expreesion, left_input=4118, right_input=7025, 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=inf, right_input=-134, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=131","layer":0}],"base":6,"result_base":6,"text":"(⨵≀≌↹⩛51551+⪬∐↹⩛24042⊝⪿⪼(↡↹⩛10441))⨓((↹⩛5123⫸⊐↹⩛4541)⫍⨯↯)⫗⊷⫓(↹⩛11132⨽∌↹⩛21351↺↹⩛35251⪔⊥↹⩛50122)=↹⩛335","reverse_text":"↹⩛335=(⨵≀≌↹⩛51551+⪬∐↹⩛24042⊝⪿⪼(↡↹⩛10441))⨓((↹⩛5123⫸⊐↹⩛4541)⫍⨯↯)⫗⊷⫓(↹⩛11132⨽∌↹⩛21351↺↹⩛35251⪔⊥↹⩛50122)","cot":[{"info":"↹⩛51551+⪬∐↹⩛24042=↹⩛-235533","layer":3},{"info":"↡↹⩛10441=↹⩛141013","layer":3},{"info":"↹⩛-235533⊝⪿⪼↹⩛141013=↹⩛-10240551","layer":2},{"info":"⨵≀≌↹⩛-10240551=Inf","layer":1},{"info":"↹⩛5123⫸⊐↹⩛4541=↹⩛31115","layer":3},{"info":"↹⩛31115⫍⨯↯=↹⩛31022","layer":2},{"info":"↹⩛11132⨽∌↹⩛21351=↹⩛0","layer":3},{"info":"↹⩛35251⪔⊥↹⩛50122=↹⩛52305","layer":3},{"info":"↹⩛0↺↹⩛52305=↹⩛52305","layer":2},{"info":"↹⩛31022⫗⊷⫓↹⩛52305=↹⩛-342","layer":1},{"info":"Inf⨓↹⩛-342=↹⩛335","layer":0}]} +{"id":236,"expression_no_base_symbol":"(($1397$⨚⇆$1767$/(⩪∧⨌$5174$))⫲≸⪮(⋠∜(⊁⨺$4853$)))⪮%⊝(⨮↦↱($1785$⩍⋽⫝̸$1015$⨚(⨣⨃⇪$1723$)))","expression":"((↹⩛10245⨚⇆↹⩛12103/(⩪∧⨌↹⩛35542))⫲≸⪮(⋠∜(⊁⨺↹⩛34245)))⪮%⊝(⨮↦↱(↹⩛12133⩍⋽⫝̸↹⩛4411⨚(⨣⨃⇪↹⩛11551)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9944,"operation_count":11,"complexity_ratio":904.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1397,"base":6},"right_expr":{"type":"numeric_atoms","value":1767,"base":6}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":5174,"base":6}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4853,"base":6}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1785,"base":6},"right_expr":{"type":"numeric_atoms","value":1015,"base":6}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1723,"base":6}}}}},"used_operators":["IWmyXbctLI","P3lXMJvFrc","XhwjNDsVaA","lwHaAYXP2r","6iOiAJX1F8","ZJpFhNJr3x","PxiHyQbrIp","sYcpBQ0cFf","nREPSIbpBE","BiWNJpBvwn","AcOhelriW5"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","BjRHVeLaeN","12rbrZMWeM","Ph9nP6C5qx","xUOZtlo3hN","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1397","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1767, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5174","layer":4},{"info":"compute unary expreesion, input=5174, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=51740","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=51740, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4853","layer":4},{"info":"compute unary expreesion, input=4853, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2924","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2924, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=1785","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=1015, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=69","layer":3},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=69, right_input=1405, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4548","layer":2},{"info":"compute unary expreesion, input=-4548, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=56682","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=56682, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10245���⇆↹⩛12103/(⩪∧⨌↹⩛35542))⫲≸⪮(⋠∜(⊁⨺↹⩛34245)))⪮%⊝(⨮↦↱(↹⩛12133⩍⋽⫝̸↹⩛4411⨚(⨣⨃⇪↹⩛11551)))=NaN","reverse_text":"NaN=((↹⩛10245⨚⇆↹⩛12103/(⩪∧⨌↹⩛35542))⫲≸⪮(⋠∜(⊁⨺↹⩛34245)))⪮%⊝(⨮↦↱(↹⩛12133⩍⋽⫝̸↹⩛4411⨚(⨣⨃⇪↹⩛11551)))","cot":[{"info":"↹⩛10245⨚⇆↹⩛12103=NaN","layer":3},{"info":"⩪∧⨌↹⩛35542=↹⩛1035312","layer":3},{"info":"NaN/↹⩛1035312=NaN","layer":2},{"info":"⊁⨺↹⩛34245=↹⩛424","layer":3},{"info":"⋠∜↹⩛424=↹⩛21312","layer":2},{"info":"NaN⫲≸⪮↹⩛21312=NaN","layer":1},{"info":"↹⩛12133⩍⋽⫝̸↹⩛4411=↹⩛153","layer":3},{"info":"⨣⨃⇪↹⩛11551=↹⩛10301","layer":3},{"info":"↹⩛153⨚↹⩛10301=↹⩛-33020","layer":2},{"info":"⨮↦↱↹⩛-33020=↹⩛1114230","layer":1},{"info":"NaN⪮%⊝↹⩛1114230=NaN","layer":0}]} +{"id":237,"expression_no_base_symbol":"(($3250$⨽$1903$⨒($5075$⩏))⊭∹↮)⨁⊸⫻","expression":"((↹⩛23014⨽↹⩛12451⨒(↹⩛35255⩏))⊭∹↮)⨁⊸⫻","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3822,"operation_count":5,"complexity_ratio":764.4,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3250,"base":6},"right_expr":{"type":"numeric_atoms","value":1903,"base":6}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":5075,"base":6}}}}},"used_operators":["glklzrTFfD","xNBdhnnwKq","y75s1iXyHd","8HhzD0ZcuI","iA2gmKZ3Wj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","z6LnFrNh4i","Tcnh7f0tEr"],"result":"↹⩛2","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3250","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=1903, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-31691895","layer":3},{"info":"number node, value=5075","layer":4},{"info":"compute unary expreesion, input=5075, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-31691895, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2","layer":0}],"base":6,"result_base":6,"text":"((↹⩛23014⨽↹⩛12451⨒(↹⩛35255⩏))⊭∹↮)⨁⊸⫻=↹⩛2","reverse_text":"↹⩛2=((↹⩛23014⨽↹⩛12451⨒(↹⩛35255⩏))⊭∹↮)⨁⊸⫻","cot":[{"info":"↹⩛23014⨽↹⩛12451=↹⩛-3051133423","layer":3},{"info":"↹⩛35255⩏=↹⩛0","layer":3},{"info":"↹⩛-3051133423⨒↹⩛0=↹⩛1","layer":2},{"info":"↹⩛1⊭∹↮=↹⩛1","layer":1},{"info":"↹⩛1⨁⊸⫻=↹⩛2","layer":0}]} +{"id":238,"expression_no_base_symbol":"((-$4418$⊮⊟↴$1561$)⊟⇱)⫞⩸⩒(($2476$⪒$1178$)⋹⋡⊁($1827$⇤$5704$)⊲⩕⊾($4014$⨔⇊$1330$)⨸($5004$⨜⨶$1115$))","expression":"((-↹⩛32242⊮⊟↴↹⩛11121)⊟⇱)⫞⩸⩒((↹⩛15244⪒↹⩛5242)⋹⋡⊁(↹⩛12243⇤↹⩛42224)⊲⩕⊾(↹⩛30330⨔⇊↹⩛10054)⨸(↹⩛35100⨜⨶↹⩛5055))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1586,"operation_count":11,"complexity_ratio":144.1818181818182,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4418,"base":6},"right_expr":{"type":"numeric_atoms","value":1561,"base":6}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2476,"base":6},"right_expr":{"type":"numeric_atoms","value":1178,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1827,"base":6},"right_expr":{"type":"numeric_atoms","value":5704,"base":6}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4014,"base":6},"right_expr":{"type":"numeric_atoms","value":1330,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5004,"base":6},"right_expr":{"type":"numeric_atoms","value":1115,"base":6}}}}},"used_operators":["XGcMNugi78","03sUfWo75k","t8gj7n24qd","QDVgd2eftb","DmTXOeWf9t","As8RqfVLgs","f6k1SAg4EE","YSKBFp38Pu","KmoU8R5UQR","JclMnS0uGI","HiPekx5b7W"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","IWmyXbctLI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4418","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=1561, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=nan","layer":1},{"info":"number node, value=2476","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=1178, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3654","layer":3},{"info":"number node, value=1827","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=5704, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34807","layer":3},{"info":"compute binary expreesion, left_input=-3654, right_input=-34807, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=58202","layer":2},{"info":"number node, value=4014","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=1330, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1330","layer":3},{"info":"number node, value=5004","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=5004, right_input=1115, 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=-1974","layer":3},{"info":"compute binary expreesion, left_input=1330, right_input=-1974, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2660","layer":2},{"info":"compute binary expreesion, left_input=58202, right_input=2660, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-954462","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-954462, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((-↹⩛32242⊮⊟↴↹⩛11121)⊟⇱)⫞⩸⩒((↹⩛15244⪒↹⩛5242)⋹⋡⊁(↹⩛12243⇤↹⩛42224)⊲⩕⊾(↹⩛30330⨔⇊↹⩛10054)⨸(↹⩛35100⨜⨶↹⩛5055))=NaN","reverse_text":"NaN=((-↹⩛32242⊮⊟↴↹⩛11121)⊟⇱)⫞⩸⩒((↹⩛15244⪒↹⩛5242)⋹⋡⊁(↹⩛12243⇤↹⩛42224)⊲⩕⊾(↹⩛30330⨔⇊↹⩛10054)⨸(↹⩛35100⨜⨶↹⩛5055))","cot":[{"info":"↹⩛32242⊮⊟↴↹⩛11121=↹⩛0","layer":3},{"info":"-↹⩛0=↹⩛0","layer":2},{"info":"↹⩛0⊟⇱=NaN","layer":1},{"info":"↹⩛15244⪒↹⩛5242=↹⩛-24530","layer":3},{"info":"↹⩛12243⇤↹⩛42224=↹⩛-425051","layer":3},{"info":"↹⩛-24530⋹⋡⊁↹⩛-425051=↹⩛1125242","layer":2},{"info":"↹⩛30330⨔⇊↹⩛10054=↹⩛10054","layer":3},{"info":"↹⩛35100⨜⨶↹⩛5055=↹⩛-13050","layer":3},{"info":"↹⩛10054⨸↹⩛-13050=↹⩛20152","layer":2},{"info":"↹⩛1125242⊲⩕⊾↹⩛20152=↹⩛-32242450","layer":1},{"info":"NaN⫞⩸⩒↹⩛-32242450=NaN","layer":0}]} +{"id":239,"expression_no_base_symbol":"((⇉-⫰$1727$)⪶≀⋏($4034$≳⇉$1812$))≎⪠($1827$≝⊿$7201$⪭(⊢≑≆$1084$))⋾⨃∁(($5705$≥⨤⩑$2152$⪒$7533$⩵∡$3941$)⪒((⩏⊷≩$1275$)⫏⊷))","expression":"((⇉-⫰↹⩛11555)⪶≀⋏(↹⩛30402≳⇉↹⩛12220))≎⪠(↹⩛12243≝⊿↹⩛53201⪭(⊢≑≆↹⩛5004))⋾⨃∁((↹⩛42225≥⨤⩑↹⩛13544⪒↹⩛54513⩵∡↹⩛30125)⪒((⩏⊷≩↹⩛5523)⫏⊷))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":47372901,"operation_count":14,"complexity_ratio":3383778.6428571427,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1727,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4034,"base":6},"right_expr":{"type":"numeric_atoms","value":1812,"base":6}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1827,"base":6},"right_expr":{"type":"numeric_atoms","value":7201,"base":6}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1084,"base":6}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5705,"base":6},"right_expr":{"type":"numeric_atoms","value":2152,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":7533,"base":6},"right_expr":{"type":"numeric_atoms","value":3941,"base":6}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1275,"base":6}}}}},"used_operators":["212REbPD9h","aNhz54LH3e","zR4jO40bMj","IGFM8TAlm9","V0kx6qeWkN","j9kHMeSvPp","OKKcZfAt5B","27wFxooxGf","f6k1SAg4EE","gJLn6v0xnP","Y7wcNGrDQJ","dcShxvzhyw","uOZ1tnYMDE"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eH2TOUuTDT","eewbuw0ToL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","COABgblf1C","xUOZtlo3hN","12rbrZMWeM","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","23Mk6UjR3U","12rbrZMWeM"],"result":"↹⩛215504040522","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"compute unary expreesion, input=1727, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=4034","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=1812, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=1827","layer":4},{"info":"number node, value=7201","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=7201, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16762","layer":3},{"info":"number node, value=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4788","layer":3},{"info":"compute binary expreesion, left_input=-16762, right_input=4788, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=16588","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16588, 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=5705","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=2152, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=7533","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=7533, right_input=3941, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-11246","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-11246, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=10012","layer":2},{"info":"number node, value=1275","layer":4},{"info":"compute unary expreesion, input=1275, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2249","layer":3},{"info":"compute unary expreesion, input=2249, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=10012, right_input=-820, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9192","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-9192, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=845038850","layer":0}],"base":6,"result_base":6,"text":"((⇉-⫰↹⩛11555)⪶≀⋏(↹⩛30402≳⇉↹⩛12220))≎⪠(↹⩛12243≝⊿↹⩛53201⪭(⊢≑≆↹⩛5004))⋾⨃∁((↹⩛42225≥⨤⩑↹⩛13544⪒↹⩛54513⩵∡↹⩛30125)⪒((⩏⊷≩↹⩛5523)⫏⊷))=↹⩛215504040522","reverse_text":"↹⩛215504040522=((⇉-⫰↹⩛11555)⪶≀⋏(↹⩛30402≳⇉↹⩛12220))≎⪠(↹⩛12243≝⊿↹⩛53201⪭(⊢≑≆↹⩛5004))⋾⨃∁((↹⩛42225≥⨤⩑↹⩛13544⪒↹⩛54513⩵∡↹⩛30125)⪒((⩏⊷≩↹⩛5523)⫏⊷))","cot":[{"info":"⇉-⫰↹⩛11555=↹⩛32","layer":3},{"info":"↹⩛30402≳⇉↹⩛12220=NaN","layer":3},{"info":"↹⩛32⪶≀⋏NaN=NaN","layer":2},{"info":"↹⩛12243≝⊿↹⩛53201=↹⩛-205334","layer":3},{"info":"⊢≑≆↹⩛5004=↹⩛34100","layer":3},{"info":"↹⩛-205334⪭↹⩛34100=↹⩛204444","layer":2},{"info":"NaN≎⪠↹⩛204444=↹⩛230314","layer":1},{"info":"↹⩛42225≥⨤⩑↹⩛13544=↹⩛5414","layer":3},{"info":"↹⩛54513⩵∡↹⩛30125=↹⩛-124022","layer":3},{"info":"↹⩛5414⪒↹⩛-124022=↹⩛114204","layer":2},{"info":"⩏⊷≩↹⩛5523=↹⩛14225","layer":3},{"info":"↹⩛14225⫏⊷=↹⩛-3444","layer":2},{"info":"↹⩛114204⪒↹⩛-3444=↹⩛-110320","layer":1},{"info":"↹⩛230314⋾⨃∁↹⩛-110320=↹⩛215504040522","layer":0}]} +{"id":240,"expression_no_base_symbol":"(($2013$+⪬∐$4731$)∋($6356$⫁⪎$1010$)⊹∫⫚((⊁⨺$4451$)⊦⊿))⨰((($3444$↡⊰⫅$5766$)↓⨍⋜)⊧↖)","expression":"((↹⩛13153+⪬∐↹⩛33523)∋(↹⩛45232⫁⪎↹⩛4402)⊹∫⫚((⊁⨺↹⩛32335)⊦⊿))⨰(((↹⩛23540↡⊰⫅↹⩛42410)↓⨍⋜)⊧↖)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":87795,"operation_count":10,"complexity_ratio":8779.5,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2013,"base":6},"right_expr":{"type":"numeric_atoms","value":4731,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6356,"base":6},"right_expr":{"type":"numeric_atoms","value":1010,"base":6}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4451,"base":6}}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3444,"base":6},"right_expr":{"type":"numeric_atoms","value":5766,"base":6}}}}},"used_operators":["eewbuw0ToL","uWAJUKEvyW","ukq6epAj5P","2GS7woTJqF","xRrnTEsQ6j","14qkJME0vr","PxiHyQbrIp","EKiFHuOFxO","3DVzLFNsE9","VCtxkLNOzz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"↹⩛-41505403002","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":4},{"info":"number node, value=4731","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=4731, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6039","layer":3},{"info":"number node, value=6356","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=6356, right_input=1010, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5346","layer":3},{"info":"compute binary expreesion, left_input=-6039, right_input=5346, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10709212","layer":2},{"info":"number node, value=4451","layer":4},{"info":"compute unary expreesion, input=4451, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-559","layer":2},{"info":"compute binary expreesion, left_input=10709212, right_input=-559, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-256","layer":1},{"info":"number node, value=3444","layer":4},{"info":"number node, value=5766","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=5766, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=11532","layer":3},{"info":"compute unary expreesion, input=11532, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":2},{"info":"compute unary expreesion, input=6590, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=260605268","layer":1},{"info":"compute binary expreesion, left_input=-256, right_input=260605268, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-260605514","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13153+⪬∐↹⩛33523)∋(↹⩛45232⫁⪎↹⩛4402)⊹∫⫚((⊁⨺↹⩛32335)⊦⊿))⨰(((↹⩛23540↡⊰⫅↹⩛42410)↓⨍⋜)⊧↖)=↹⩛-41505403002","reverse_text":"↹⩛-41505403002=((↹⩛13153+⪬∐↹⩛33523)∋(↹⩛45232⫁⪎↹⩛4402)⊹∫⫚((⊁⨺↹⩛32335)⊦⊿))⨰(((↹⩛23540↡⊰⫅↹⩛42410)↓⨍⋜)⊧↖)","cot":[{"info":"↹⩛13153+⪬∐↹⩛33523=↹⩛-43543","layer":3},{"info":"↹⩛45232⫁⪎↹⩛4402=↹⩛40430","layer":3},{"info":"↹⩛-43543∋↹⩛40430=↹⩛1021311404","layer":2},{"info":"⊁⨺↹⩛32335=↹⩛424","layer":3},{"info":"↹⩛424⊦⊿=↹⩛-2331","layer":2},{"info":"↹⩛1021311404⊹∫⫚↹⩛-2331=↹⩛-1104","layer":1},{"info":"↹⩛23540↡⊰⫅↹⩛42410=↹⩛125220","layer":3},{"info":"↹⩛125220↓⨍⋜=↹⩛50302","layer":2},{"info":"↹⩛50302⊧↖=↹⩛41505401512","layer":1},{"info":"↹⩛-1104⨰↹⩛41505401512=↹⩛-41505403002","layer":0}]} +{"id":241,"expression_no_base_symbol":"↘(⊄⩳↩($1992$⊉↱≁$8562$⩒⫫($3978$≳⇉$3445$)))","expression":"↘(⊄⩳↩(↹⩛13120⊉↱≁↹⩛103350⩒⫫(↹⩛30230≳⇉↹⩛23541)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":151843225,"operation_count":5,"complexity_ratio":30368645.0,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1992,"base":6},"right_expr":{"type":"numeric_atoms","value":8562,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3978,"base":6},"right_expr":{"type":"numeric_atoms","value":3445,"base":6}}}}},"used_operators":["LdNpr8hQHL","8w2t5hMYqp","KFSx94NKJn","w2P8NbNXyL","V0kx6qeWkN"],"dependent_operators":["uFcxV4UQCh","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"↹⩛1224","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"number node, value=8562","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=8562, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-32566","layer":3},{"info":"number node, value=3978","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=3978, right_input=3445, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-32566, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":1},{"info":"compute unary expreesion, input=-480, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=304","layer":0}],"base":6,"result_base":6,"text":"↘(⊄⩳↩(↹⩛13120⊉↱≁↹⩛103350⩒⫫(↹⩛30230≳⇉↹⩛23541)))=↹⩛1224","reverse_text":"↹⩛1224=↘(⊄⩳↩(↹⩛13120⊉↱≁↹⩛103350⩒⫫(↹⩛30230≳⇉↹⩛23541)))","cot":[{"info":"↹⩛13120⊉↱≁↹⩛103350=↹⩛-410434","layer":3},{"info":"↹⩛30230≳⇉↹⩛23541=NaN","layer":3},{"info":"↹⩛-410434⩒⫫NaN=↹⩛424","layer":2},{"info":"⊄⩳↩↹⩛424=↹⩛-2120","layer":1},{"info":"↘↹⩛-2120=↹⩛1224","layer":0}]} +{"id":242,"expression_no_base_symbol":"⩏⊷≩(($3769$⇋≉)↓⨍⋜)⫘(⇈(⊆⋠$5604$))","expression":"⩏⊷≩((↹⩛25241⇋≉)↓⨍⋜)⫘(⇈(⊆⋠↹⩛41540))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8132,"operation_count":6,"complexity_ratio":1355.3333333333333,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3769,"base":6}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5604,"base":6}}}}},"used_operators":["uOZ1tnYMDE","48vC8HMD2b","3DVzLFNsE9","XIabStNQrY","SLLxy00UIr","EBhcHTkKd8"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"↹⩛1312221101","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3769","layer":4},{"info":"compute unary expreesion, input=3769, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7440","layer":3},{"info":"compute unary expreesion, input=7440, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":2},{"info":"number node, value=5604","layer":4},{"info":"compute unary expreesion, input=5604, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=6590, right_input=-447, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7754245","layer":1},{"info":"compute unary expreesion, input=7754245, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=15508189","layer":0}],"base":6,"result_base":6,"text":"⩏⊷≩((↹⩛25241⇋≉)↓⨍⋜)⫘(⇈(⊆⋠↹⩛41540))=↹⩛1312221101","reverse_text":"↹⩛1312221101=⩏⊷≩((↹⩛25241⇋≉)↓⨍⋜)⫘(⇈(⊆⋠↹⩛41540))","cot":[{"info":"↹⩛25241⇋≉=↹⩛54240","layer":3},{"info":"↹⩛54240↓⨍⋜=↹⩛50302","layer":2},{"info":"⊆⋠↹⩛41540=↹⩛0","layer":3},{"info":"⇈↹⩛0=↹⩛-2023","layer":2},{"info":"↹⩛50302⫘↹⩛-2023=↹⩛434111141","layer":1},{"info":"⩏⊷≩↹⩛434111141=↹⩛1312221101","layer":0}]} +{"id":243,"expression_no_base_symbol":"($1454$⨼⩣$1806$⨒$2007$⇮⋭$1961$)≎⪠(($5561$↓$1001$)⨐(↩⪖$1306$))⪄((⫯$1359$)⪔⊥($1012$⇼⇔∾$2542$)⫃⨇$1083$∳⫺$3406$⩖⊿($1698$⪭≯$2468$))","expression":"(↹⩛10422⨼⩣↹⩛12210⨒↹⩛13143⇮⋭↹⩛13025)≎⪠((↹⩛41425↓↹⩛4345)⨐(↩⪖↹⩛10014))⪄((⫯↹⩛10143)⪔⊥(↹⩛4404⇼⇔∾↹⩛15434)⫃⨇↹⩛5003∳⫺↹⩛23434⩖⊿(↹⩛11510⪭≯↹⩛15232))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34286,"operation_count":15,"complexity_ratio":2285.733333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1454,"base":6},"right_expr":{"type":"numeric_atoms","value":1806,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2007,"base":6},"right_expr":{"type":"numeric_atoms","value":1961,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5561,"base":6},"right_expr":{"type":"numeric_atoms","value":1001,"base":6}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1306,"base":6}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1359,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1012,"base":6},"right_expr":{"type":"numeric_atoms","value":2542,"base":6}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1083,"base":6},"right_expr":{"type":"numeric_atoms","value":3406,"base":6}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1698,"base":6},"right_expr":{"type":"numeric_atoms","value":2468,"base":6}}}}},"used_operators":["SUmda5xLS4","aNhz54LH3e","y75s1iXyHd","JxwMv5le6e","vkpjKywKVM","Noe24qw2ks","Af076pWI7l","fG6uBQFnGz","09Ly4LVMIf","HJ9erzHUuu","H6BK1Evt7c","tifHPKVTfV","RZ5CV9rWsJ","AzXXKTstlj","XAx5wpdLa6"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1454","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=1806, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2007","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1961, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"number node, value=5561","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5561, right_input=1001, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10818","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-10818, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=268, 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=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-42290","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2542, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1530","layer":3},{"info":"compute binary expreesion, left_input=-42290, right_input=1530, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-172419","layer":2},{"info":"number node, value=1083","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=3406, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2418","layer":3},{"info":"number node, value=1698","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=2468, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2418, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-172419, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10422⨼⩣↹⩛12210⨒↹⩛13143⇮⋭↹⩛13025)≎⪠((↹⩛41425↓↹⩛4345)⨐(↩⪖↹⩛10014))⪄((⫯↹⩛10143)⪔⊥(↹⩛4404⇼⇔∾↹⩛15434)⫃⨇↹⩛5003∳⫺↹⩛23434⩖⊿(↹⩛11510⪭≯↹⩛15232))=NaN","reverse_text":"NaN=(↹⩛10422⨼⩣↹⩛12210⨒↹⩛13143⇮⋭↹⩛13025)≎⪠((↹⩛41425↓↹⩛4345)⨐(↩⪖↹⩛10014))⪄((⫯↹⩛10143)⪔⊥(↹⩛4404⇼⇔∾↹⩛15434)⫃⨇↹⩛5003∳⫺↹⩛23434⩖⊿(↹⩛11510⪭≯↹⩛15232))","cot":[{"info":"↹⩛10422⨼⩣↹⩛12210=NaN","layer":3},{"info":"↹⩛13143⇮⋭↹⩛13025=↹⩛-2105","layer":3},{"info":"NaN⨒↹⩛-2105=NaN","layer":2},{"info":"↹⩛41425↓↹⩛4345=↹⩛-342","layer":3},{"info":"↩⪖↹⩛10014=↹⩛-122030","layer":3},{"info":"↹⩛-342⨐↹⩛-122030=↹⩛1124","layer":2},{"info":"NaN≎⪠↹⩛1124=↹⩛230314","layer":1},{"info":"⫯↹⩛10143=↹⩛-523442","layer":3},{"info":"↹⩛4404⇼⇔∾↹⩛15434=↹⩛11030","layer":3},{"info":"↹⩛-523442⪔⊥↹⩛11030=↹⩛-3410123","layer":2},{"info":"↹⩛5003∳⫺↹⩛23434=↹⩛-15110","layer":3},{"info":"↹⩛11510⪭≯↹⩛15232=NaN","layer":3},{"info":"↹⩛-15110⩖⊿NaN=NaN","layer":2},{"info":"↹⩛-3410123⫃⨇NaN=NaN","layer":1},{"info":"↹⩛230314⪄NaN=NaN","layer":0}]} +{"id":244,"expression_no_base_symbol":"(⨙⪌(($1629$⊱⇼⊻$1055$)⨔⇊($1027$⊴$2244$)))⊉↱≁((⋗⩴⪓$7432$≹⇙⪍$1231$)⪍↜⋙($1004$⋓$2966$⪨⊡$2989$⊉↱≁$3642$))","expression":"(⨙⪌((↹⩛11313⊱⇼⊻↹⩛4515)⨔⇊(↹⩛4431⊴↹⩛14220)))⊉↱≁((⋗⩴⪓↹⩛54224≹⇙⪍↹⩛5411)⪍↜⋙(↹⩛4352⋓↹⩛21422⪨⊡↹⩛21501⊉↱≁↹⩛24510))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2432,"operation_count":11,"complexity_ratio":221.0909090909091,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1629,"base":6},"right_expr":{"type":"numeric_atoms","value":1055,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1027,"base":6},"right_expr":{"type":"numeric_atoms","value":2244,"base":6}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7432,"base":6},"right_expr":{"type":"numeric_atoms","value":1231,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":2966,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2989,"base":6},"right_expr":{"type":"numeric_atoms","value":3642,"base":6}}}}},"used_operators":["w2P8NbNXyL","vEGLkm4Z2k","JclMnS0uGI","FyVja0WsTP","Nsiff2A1zJ","L05ObWFQCd","nOKPl9n5zu","AHs5Up7iyr","kuIXHzHcAH","T2fj7uvVaJ"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","dWAJyo7jo9","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1629","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=1055, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2244, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"number node, value=7432","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=7432, right_input=1231, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2966, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2989","layer":4},{"info":"number node, value=3642","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=3642, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=6924","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6924, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨙⪌((↹⩛11313⊱⇼⊻↹⩛4515)⨔⇊(↹⩛4431⊴↹⩛14220)))⊉↱≁((⋗⩴⪓↹⩛54224≹⇙⪍↹⩛5411)⪍↜⋙(↹⩛4352⋓↹⩛21422⪨⊡↹⩛21501⊉↱≁↹⩛24510))=NaN","reverse_text":"NaN=(⨙⪌((↹⩛11313⊱⇼⊻↹⩛4515)⨔⇊(↹⩛4431⊴↹⩛14220)))⊉↱≁((⋗⩴⪓↹⩛54224≹⇙⪍↹⩛5411)⪍↜⋙(↹⩛4352⋓↹⩛21422⪨⊡↹⩛21501⊉↱≁↹⩛24510))","cot":[{"info":"↹⩛11313⊱⇼⊻↹⩛4515=↹⩛2002","layer":3},{"info":"↹⩛4431⊴↹⩛14220=NaN","layer":3},{"info":"↹⩛2002⨔⇊NaN=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"↹⩛54224≹⇙⪍↹⩛5411=NaN","layer":3},{"info":"⋗⩴⪓NaN=NaN","layer":2},{"info":"↹⩛4352⋓↹⩛21422=↹⩛0","layer":3},{"info":"↹⩛21501⊉↱≁↹⩛24510=↹⩛52020","layer":3},{"info":"↹⩛0⪨⊡↹⩛52020=↹⩛0","layer":2},{"info":"NaN⪍↜⋙↹⩛0=NaN","layer":1},{"info":"NaN⊉↱≁NaN=NaN","layer":0}]} +{"id":245,"expression_no_base_symbol":"⋂(($4242$⫃⨇$1356$)⨸($1326$∌$1316$))⪟⇏($1145$≥⨤⩑$3003$≬⇓(⫎≠⋺$6623$))","expression":"⋂((↹⩛31350⫃⨇↹⩛10140)⨸(↹⩛10050∌↹⩛10032))⪟⇏(↹⩛5145≥⨤⩑↹⩛21523≬⇓(⫎≠⋺↹⩛50355))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5669,"operation_count":8,"complexity_ratio":708.625,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4242,"base":6},"right_expr":{"type":"numeric_atoms","value":1356,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1326,"base":6},"right_expr":{"type":"numeric_atoms","value":1316,"base":6}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":3003,"base":6}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":6623,"base":6}}}}},"used_operators":["BUOGQAYlQx","GODebY97qR","KmoU8R5UQR","09Ly4LVMIf","8cLx32lpNA","jWTQ2TZYIH","gJLn6v0xnP","LYeZOJ0nQG"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"↹⩛2432","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4242","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=4242, right_input=1356, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5456","layer":3},{"info":"number node, value=1326","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=1316, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1316","layer":3},{"info":"compute binary expreesion, left_input=-5456, right_input=-1316, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=421558","layer":2},{"info":"number node, value=1145","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=3003, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6623","layer":4},{"info":"compute unary expreesion, input=6623, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=421558, right_input=-22, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=596","layer":0}],"base":6,"result_base":6,"text":"⋂((↹⩛31350⫃⨇↹⩛10140)⨸(↹⩛10050∌↹⩛10032))⪟⇏(↹⩛5145≥⨤⩑↹⩛21523≬⇓(⫎≠⋺↹⩛50355))=↹⩛2432","reverse_text":"↹⩛2432=⋂((↹⩛31350⫃⨇↹⩛10140)⨸(↹⩛10050∌↹⩛10032))⪟⇏(↹⩛5145≥⨤⩑↹⩛21523≬⇓(⫎≠⋺↹⩛50355))","cot":[{"info":"↹⩛31350⫃⨇↹⩛10140=↹⩛-41132","layer":3},{"info":"↹⩛10050∌↹⩛10032=↹⩛-10032","layer":3},{"info":"↹⩛-41132⨸↹⩛-10032=↹⩛13011354","layer":2},{"info":"↹⩛5145≥⨤⩑↹⩛21523=↹⩛5414","layer":3},{"info":"⫎≠⋺↹⩛50355=↹⩛0","layer":3},{"info":"↹⩛5414≬⇓↹⩛0=↹⩛-34","layer":2},{"info":"↹⩛13011354⪟⇏↹⩛-34=↹⩛0","layer":1},{"info":"⋂↹⩛0=↹⩛2432","layer":0}]} +{"id":246,"expression_no_base_symbol":"(⇠$4802$⨐$1934$)⪬((⪨⨬$1069$)∠⫱($6136$⪗))⪭≯($1127$⪢$7185$⫰⋱$1729$⪎↠$4856$)↼⊘⨖((⇜$2379$)⇡)","expression":"(⇠↹⩛34122⨐↹⩛12542)⪬((⪨⨬↹⩛4541)∠⫱(↹⩛44224⪗))⪭≯(↹⩛5115⪢↹⩛53133⫰⋱↹⩛12001⪎↠↹⩛34252)↼⊘⨖((⇜↹⩛15003)⇡)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14519,"operation_count":13,"complexity_ratio":1116.8461538461538,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4802,"base":6},"right_expr":{"type":"numeric_atoms","value":1934,"base":6}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1069,"base":6}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":6136,"base":6}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1127,"base":6},"right_expr":{"type":"numeric_atoms","value":7185,"base":6}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1729,"base":6},"right_expr":{"type":"numeric_atoms","value":4856,"base":6}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2379,"base":6}}}}},"used_operators":["XAx5wpdLa6","Ez1Nq5fNfI","18saOjeKKm","Noe24qw2ks","QvoQhV0rrE","5obUd6DV38","VEQNXA0ZBg","bPywburJMS","6o9Blt3TJ6","dWAJyo7jo9","3tVxb0NHM4","UqFzSgLMvQ","lFBm8KRb8F"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","T2fj7uvVaJ","nlCqmYiOvY","dWAJyo7jo9","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","k8jYdgA6NY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4802","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=4802, right_input=1934, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9604","layer":3},{"info":"compute unary expreesion, input=-9604, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=6136","layer":4},{"info":"compute unary expreesion, input=6136, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=7185","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=7185, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1729","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=4856, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-19440","layer":3},{"info":"compute unary expreesion, input=-19440, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2917, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-6056","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-6056, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇠↹⩛34122⨐↹⩛12542)⪬((⪨⨬↹⩛4541)∠⫱(↹⩛44224⪗))⪭≯(↹⩛5115⪢↹⩛53133⫰⋱↹⩛12001⪎↠↹⩛34252)↼⊘⨖((⇜↹⩛15003)⇡)=NaN","reverse_text":"NaN=(⇠↹⩛34122⨐↹⩛12542)⪬((⪨⨬↹⩛4541)∠⫱(↹⩛44224⪗))⪭≯(↹⩛5115⪢↹⩛53133⫰⋱↹⩛12001⪎↠↹⩛34252)↼⊘⨖((⇜↹⩛15003)⇡)","cot":[{"info":"↹⩛34122⨐↹⩛12542=↹⩛-112244","layer":3},{"info":"⇠↹⩛-112244=↹⩛0","layer":2},{"info":"⪨⨬↹⩛4541=↹⩛-2234","layer":3},{"info":"↹⩛44224⪗=NaN","layer":3},{"info":"↹⩛-2234∠⫱NaN=NaN","layer":2},{"info":"↹⩛0⪬NaN=↹⩛5414","layer":1},{"info":"↹⩛5115⪢↹⩛53133=NaN","layer":3},{"info":"↹⩛12001⪎↠↹⩛34252=↹⩛424","layer":3},{"info":"NaN⫰⋱↹⩛424=NaN","layer":2},{"info":"⇜↹⩛15003=↹⩛-230000","layer":3},{"info":"↹⩛-230000⇡=↹⩛-21301","layer":2},{"info":"NaN↼⊘⨖↹⩛-21301=↹⩛-44012","layer":1},{"info":"↹⩛5414⪭≯↹⩛-44012=NaN","layer":0}]} +{"id":247,"expression_no_base_symbol":"($1688$⩇∃⫛$1675$⫸⇳($1691$∈)%(⊁⨺(⊲⪭$2066$)))↳≱($2438$⊉↱≁$2044$⊋$1078$⊕∕$1599$⋭≵($3293$⊍⩺⋍$1626$)⇡⇂($1158$%$1502$))","expression":"(↹⩛11452⩇∃⫛↹⩛11431⫸⇳(↹⩛11455∈)%(⊁⨺(⊲⪭↹⩛13322)))↳≱(↹⩛15142⊉↱≁↹⩛13244⊋↹⩛4554⊕∕↹⩛11223⋭≵(↹⩛23125⊍⩺⋍↹⩛11310)⇡⇂(↹⩛5210%↹⩛10542))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":11346,"operation_count":14,"complexity_ratio":810.4285714285714,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1688,"base":6},"right_expr":{"type":"numeric_atoms","value":1675,"base":6}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1691,"base":6}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2066,"base":6}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2438,"base":6},"right_expr":{"type":"numeric_atoms","value":2044,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1078,"base":6},"right_expr":{"type":"numeric_atoms","value":1599,"base":6}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3293,"base":6},"right_expr":{"type":"numeric_atoms","value":1626,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1158,"base":6},"right_expr":{"type":"numeric_atoms","value":1502,"base":6}}}}},"used_operators":["JwTKLfZU96","k8jYdgA6NY","gx7XJ7hdpj","1aApVXNlOP","ztP7wcbY7m","PxiHyQbrIp","k7HXdKtiEU","jBncVCNhdl","W4tP9CfskL","w2P8NbNXyL","9cloC0Ngie","UMwdvZNt44","OXDGMFPWZM"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1675, 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=460","layer":3},{"info":"number node, value=1691","layer":4},{"info":"compute unary expreesion, input=1691, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=4402","layer":3},{"info":"compute binary expreesion, left_input=460, right_input=4402, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2240","layer":3},{"info":"compute unary expreesion, input=-2240, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-14897","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14897, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2438","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=2044, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12064","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1599, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1078","layer":3},{"info":"compute binary expreesion, left_input=12064, right_input=1078, 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=87979500","layer":2},{"info":"number node, value=3293","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3293, right_input=1626, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1502, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1158, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=87979500, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11452⩇∃⫛↹⩛11431⫸⇳(↹⩛11455∈)%(⊁⨺(⊲⪭↹⩛13322)))↳≱(↹⩛15142⊉↱≁↹⩛13244⊋↹⩛4554⊕∕↹⩛11223⋭≵(↹⩛23125⊍⩺⋍↹⩛11310)⇡⇂(↹⩛5210%↹⩛10542))=↹⩛0","reverse_text":"↹⩛0=(↹⩛11452⩇∃⫛↹⩛11431⫸⇳(↹⩛11455∈)%(⊁⨺(⊲⪭↹⩛13322)))↳≱(↹⩛15142⊉↱≁↹⩛13244⊋↹⩛4554⊕∕↹⩛11223⋭≵(↹⩛23125⊍⩺⋍↹⩛11310)⇡⇂(↹⩛5210%↹⩛10542))","cot":[{"info":"↹⩛11452⩇∃⫛↹⩛11431=↹⩛2044","layer":3},{"info":"↹⩛11455∈=↹⩛32214","layer":3},{"info":"↹⩛2044⫸⇳↹⩛32214=↹⩛0","layer":2},{"info":"⊲⪭↹⩛13322=↹⩛-14212","layer":3},{"info":"⊁⨺↹⩛-14212=↹⩛-152545","layer":2},{"info":"↹⩛0%↹⩛-152545=↹⩛0","layer":1},{"info":"↹⩛15142⊉↱≁↹⩛13244=↹⩛131504","layer":3},{"info":"↹⩛4554⊕∕↹⩛11223=↹⩛4554","layer":3},{"info":"↹⩛131504⊋↹⩛4554=↹⩛12421412300","layer":2},{"info":"↹⩛23125⊍⩺⋍↹⩛11310=NaN","layer":3},{"info":"↹⩛5210%↹⩛10542=↹⩛5210","layer":3},{"info":"NaN⇡⇂↹⩛5210=NaN","layer":2},{"info":"↹⩛12421412300⋭≵NaN=↹⩛151","layer":1},{"info":"↹⩛0↳≱↹⩛151=↹⩛0","layer":0}]} +{"id":248,"expression_no_base_symbol":"(⇾⩊⇾(+⊝⨔$1857$))⪃⊛⇣((⇈$1923$)↓⨍⋜)↳∿⪆(((∷≠$2525$)↸($5588$⊍⩺⋍$2842$))⊴(($2144$∷$1316$)⫻⋑⊟))","expression":"(⇾⩊⇾(+⊝⨔↹⩛12333))⪃⊛⇣((⇈↹⩛12523)↓⨍⋜)↳∿⪆(((∷≠↹⩛15405)↸(↹⩛41512⊍⩺⋍↹⩛21054))⊴((↹⩛13532∷↹⩛10032)⫻⋑⊟))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10341,"operation_count":12,"complexity_ratio":861.75,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1857,"base":6}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1923,"base":6}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":2525,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5588,"base":6},"right_expr":{"type":"numeric_atoms","value":2842,"base":6}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2144,"base":6},"right_expr":{"type":"numeric_atoms","value":1316,"base":6}}}}},"used_operators":["Cw4SuJJGHO","rrgAzCduG9","bx9Z9DAK5y","DhbWaqg5eL","3DVzLFNsE9","SLLxy00UIr","Nsiff2A1zJ","1eCjFl0mb9","QiR2Oyf5Xj","OXDGMFPWZM","o575Zjdmzy","D3AQDKkPcf"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","7j4O788W3g","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1857","layer":4},{"info":"compute unary expreesion, input=1857, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20184","layer":2},{"info":"number node, value=1923","layer":4},{"info":"compute unary expreesion, input=1923, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=18321","layer":2},{"info":"compute binary expreesion, left_input=-20184, right_input=18321, 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=2525","layer":4},{"info":"compute unary expreesion, input=2525, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=2525","layer":3},{"info":"number node, value=5588","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=5588, right_input=2842, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2525, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2525","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1316, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1316","layer":3},{"info":"compute unary expreesion, input=1316, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2122","layer":2},{"info":"compute binary expreesion, left_input=2525, right_input=-2122, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇾⩊⇾(+⊝⨔↹⩛12333))⪃⊛⇣((⇈↹⩛12523)↓⨍⋜)↳∿⪆(((∷≠↹⩛15405)↸(↹⩛41512⊍⩺⋍↹⩛21054))⊴((↹⩛13532∷↹⩛10032)⫻⋑⊟))=NaN","reverse_text":"NaN=(⇾⩊⇾(+⊝⨔↹⩛12333))⪃⊛⇣((⇈↹⩛12523)↓⨍⋜)↳∿⪆(((∷≠↹⩛15405)↸(↹⩛41512⊍⩺⋍↹⩛21054))⊴((↹⩛13532∷↹⩛10032)⫻⋑⊟))","cot":[{"info":"+⊝⨔↹⩛12333=↹⩛11014","layer":3},{"info":"⇾⩊⇾↹⩛11014=↹⩛-233240","layer":2},{"info":"⇈↹⩛12523=↹⩛-2023","layer":3},{"info":"↹⩛-2023↓⨍⋜=↹⩛220453","layer":2},{"info":"↹⩛-233240⪃⊛⇣↹⩛220453=↹⩛5414","layer":1},{"info":"∷≠↹⩛15405=↹⩛15405","layer":3},{"info":"↹⩛41512⊍⩺⋍↹⩛21054=NaN","layer":3},{"info":"↹⩛15405↸NaN=↹⩛15405","layer":2},{"info":"↹⩛13532∷↹⩛10032=↹⩛10032","layer":3},{"info":"↹⩛10032⫻⋑⊟=↹⩛-13454","layer":2},{"info":"↹⩛15405⊴↹⩛-13454=NaN","layer":1},{"info":"↹⩛5414↳∿⪆NaN=NaN","layer":0}]} +{"id":249,"expression_no_base_symbol":"(⇺⋃$2795$)⇼⇔∾$1518$⩍⋽⫝̸$3293$∖(≱⇩⩕(≋$4138$))/(⫯((⫖→$4609$)↺($1081$⋭≵$1294$)))","expression":"(⇺⋃↹⩛20535)⇼⇔∾↹⩛11010⩍⋽⫝̸↹⩛23125∖(≱⇩⩕(≋↹⩛31054))/(⫯((⫖→↹⩛33201)↺(↹⩛5001⋭≵↹⩛5554)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5149,"operation_count":11,"complexity_ratio":468.09090909090907,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2795,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1518,"base":6},"right_expr":{"type":"numeric_atoms","value":3293,"base":6}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4138,"base":6}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4609,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1081,"base":6},"right_expr":{"type":"numeric_atoms","value":1294,"base":6}}}}},"used_operators":["XhwjNDsVaA","tXD093vOjl","tifHPKVTfV","E5v5B3UAjG","BiWNJpBvwn","3DZMoQKiUl","61wBmkZwlr","H6BK1Evt7c","7j4O788W3g","U4ylXWHChL","jBncVCNhdl"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Ph9nP6C5qx","xUOZtlo3hN","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","7j4O788W3g","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=3293, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2347","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2347, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=4138","layer":4},{"info":"compute unary expreesion, input=4138, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4138","layer":3},{"info":"compute unary expreesion, input=4138, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 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=4609","layer":4},{"info":"compute unary expreesion, input=4609, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1294, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5451","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=5451, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5451","layer":2},{"info":"compute unary expreesion, input=5451, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-214154","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-214154, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":6,"result_base":6,"text":"(⇺⋃↹⩛20535)⇼⇔∾↹⩛11010⩍⋽⫝̸↹⩛23125∖(≱⇩⩕(≋↹⩛31054))/(⫯((⫖→↹⩛33201)↺(↹⩛5001⋭≵↹⩛5554)))=↹⩛0","reverse_text":"↹⩛0=(⇺⋃↹⩛20535)⇼⇔∾↹⩛11010⩍⋽⫝̸↹⩛23125∖(≱⇩⩕(≋↹⩛31054))/(⫯((⫖→↹⩛33201)↺(↹⩛5001⋭≵↹⩛5554)))","cot":[{"info":"⇺⋃↹⩛20535=NaN","layer":3},{"info":"↹⩛11010⩍⋽⫝̸↹⩛23125=↹⩛14511","layer":3},{"info":"NaN⇼⇔∾↹⩛14511=NaN","layer":2},{"info":"≋↹⩛31054=↹⩛31054","layer":3},{"info":"≱⇩⩕↹⩛31054=↹⩛305","layer":2},{"info":"NaN∖↹⩛305=↹⩛0","layer":1},{"info":"⫖→↹⩛33201=↹⩛453","layer":3},{"info":"↹⩛5001⋭≵↹⩛5554=↹⩛41123","layer":3},{"info":"↹⩛453↺↹⩛41123=↹⩛41123","layer":2},{"info":"⫯↹⩛41123=↹⩛-4331242","layer":1},{"info":"↹⩛0/↹⩛-4331242=↹⩛0","layer":0}]} +{"id":250,"expression_no_base_symbol":"(($2950$≳⇉$1408$⪨≂$5847$⫳≱↱$7784$)⩺⪪(⪲⇎$6237$)∓⋝($3761$⊲⩕⊾$1538$))⪔⊥(($3160$≦↸$7623$⨰$1282$⪒⊣⊆$4799$)∋(($3838$⨻⩈⩔$2300$)∘$7392$≁$7876$))","expression":"((↹⩛21354≳⇉↹⩛10304⪨≂↹⩛43023⫳≱↱↹⩛100012)⩺⪪(⪲⇎↹⩛44513)∓⋝(���⩛25225⊲⩕⊾↹⩛11042))⪔⊥((↹⩛22344≦↸↹⩛55143⨰↹⩛5534⪒⊣⊆↹⩛34115)∋((↹⩛25434⨻⩈⩔↹⩛14352)∘↹⩛54120≁↹⩛100244))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21723304,"operation_count":15,"complexity_ratio":1448220.2666666666,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2950,"base":6},"right_expr":{"type":"numeric_atoms","value":1408,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5847,"base":6},"right_expr":{"type":"numeric_atoms","value":7784,"base":6}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6237,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3761,"base":6},"right_expr":{"type":"numeric_atoms","value":1538,"base":6}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3160,"base":6},"right_expr":{"type":"numeric_atoms","value":7623,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1282,"base":6},"right_expr":{"type":"numeric_atoms","value":4799,"base":6}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3838,"base":6},"right_expr":{"type":"numeric_atoms","value":2300,"base":6}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7392,"base":6},"right_expr":{"type":"numeric_atoms","value":7876,"base":6}}}}},"used_operators":["HJ9erzHUuu","uvdQJvN4PV","sdazOOVcIp","V0kx6qeWkN","ZvLB05nZmT","PoHhknlbAi","XPYlsWDdGa","DmTXOeWf9t","ukq6epAj5P","eewbuw0ToL","RygbFNSyEJ","eRqsBgTDFp","Z5m6OM72h2","nEsXyWgiOK","8N2wDY1A35"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sdazOOVcIp","W4YGzv6Whe","eH2TOUuTDT","rysDP5nf3Z","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2950","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=1408, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=5847","layer":4},{"info":"number node, value=7784","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=7784, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=6237","layer":4},{"info":"compute unary expreesion, input=6237, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12474","layer":3},{"info":"number node, value=3761","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=3761, right_input=1538, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-72186","layer":3},{"info":"compute binary expreesion, left_input=12474, right_input=-72186, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=3160","layer":4},{"info":"number node, value=7623","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=7623, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20885","layer":3},{"info":"number node, value=1282","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=4799, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2564","layer":3},{"info":"compute binary expreesion, left_input=-20885, right_input=2564, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-23439","layer":2},{"info":"number node, value=3838","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=2300, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=22303","layer":3},{"info":"number node, value=7392","layer":4},{"info":"number node, value=7876","layer":4},{"info":"compute binary expreesion, left_input=7392, right_input=7876, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=175823","layer":3},{"info":"compute binary expreesion, left_input=22303, right_input=175823, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=44606","layer":2},{"info":"compute binary expreesion, left_input=-23439, right_input=44606, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=91151132","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=91151132, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21354≳⇉↹⩛10304⪨≂↹⩛43023⫳≱↱↹⩛100012)⩺⪪(⪲⇎↹⩛44513)∓⋝(↹⩛25225⊲⩕⊾↹⩛11042))⪔⊥((↹⩛22344≦↸↹⩛55143⨰↹⩛5534⪒⊣⊆↹⩛34115)∋((↹⩛25434⨻⩈⩔↹⩛14352)∘↹⩛54120≁↹⩛100244))=NaN","reverse_text":"NaN=((↹⩛21354≳⇉↹⩛10304⪨≂↹⩛43023⫳≱↱↹⩛100012)⩺⪪(⪲⇎↹⩛44513)∓⋝(↹⩛25225⊲⩕⊾↹⩛11042))⪔⊥((↹⩛22344≦↸↹⩛55143⨰↹⩛5534⪒⊣⊆↹⩛34115)∋((↹⩛25434⨻⩈⩔↹⩛14352)∘↹⩛54120≁↹⩛100244))","cot":[{"info":"↹⩛21354≳⇉↹⩛10304=NaN","layer":3},{"info":"↹⩛43023⫳≱↱↹⩛100012=↹⩛-540","layer":3},{"info":"NaN⪨≂↹⩛-540=NaN","layer":2},{"info":"⪲⇎↹⩛44513=↹⩛133430","layer":3},{"info":"↹⩛25225⊲⩕⊾↹⩛11042=↹⩛-1314110","layer":3},{"info":"↹⩛133430∓⋝↹⩛-1314110=↹⩛151","layer":2},{"info":"NaN⩺⪪↹⩛151=NaN","layer":1},{"info":"↹⩛22344≦↸↹⩛55143=↹⩛-240405","layer":3},{"info":"↹⩛5534⪒⊣⊆↹⩛34115=↹⩛15512","layer":3},{"info":"↹⩛-240405⨰↹⩛15512=↹⩛-300303","layer":2},{"info":"↹⩛25434⨻⩈⩔↹⩛14352=↹⩛251131","layer":3},{"info":"↹⩛54120≁↹⩛100244=↹⩛3433555","layer":3},{"info":"↹⩛251131∘↹⩛3433555=↹⩛542302","layer":2},{"info":"↹⩛-300303∋↹⩛542302=↹⩛13013403552","layer":1},{"info":"NaN⪔⊥↹⩛13013403552=NaN","layer":0}]} +{"id":251,"expression_no_base_symbol":"((≑⋹$1779$)≬⇓$9173$⊋≦⊧$7162$)⩚⊴⇥(($2221$⫠)⊜)⊹∫⫚(($2892$⨒$1510$)⪛($3257$↙$2608$))⨥⫆((⨩∲⋌$1358$)≒∊($4945$⫥∨⫟$1945$))","expression":"((≑⋹↹⩛12123)≬⇓↹⩛110245⊋≦⊧↹⩛53054)⩚⊴⇥((↹⩛14141⫠)⊜)⊹∫⫚((↹⩛21220⨒↹⩛10554)⪛(↹⩛23025↙↹⩛20024))⨥⫆((⨩∲⋌↹⩛10142)≒∊(↹⩛34521⫥∨⫟↹⩛13001))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34083,"operation_count":14,"complexity_ratio":2434.5,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1779,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":9173,"base":6},"right_expr":{"type":"numeric_atoms","value":7162,"base":6}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2221,"base":6}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2892,"base":6},"right_expr":{"type":"numeric_atoms","value":1510,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3257,"base":6},"right_expr":{"type":"numeric_atoms","value":2608,"base":6}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1358,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4945,"base":6},"right_expr":{"type":"numeric_atoms","value":1945,"base":6}}}}},"used_operators":["uWAJUKEvyW","NTOWxs364D","jWTQ2TZYIH","6B9nyZLogK","oRDoc9rAEX","Eev2Q7dYIw","6SnOT2rOjz","yXekIHxTD4","uFcxV4UQCh","y75s1iXyHd","yyfyN0ffXY","5KTvxBwnZo","aSik1wnThz","KYD54nUTWz"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","tmPS8pqC7x","DpFCA1CohY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"compute unary expreesion, input=1779, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=9173","layer":4},{"info":"number node, value=7162","layer":4},{"info":"compute binary expreesion, left_input=9173, right_input=7162, 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=-14084","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-14084, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2223","layer":2},{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1736","layer":2},{"info":"compute binary expreesion, left_input=-2223, right_input=1736, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=366","layer":1},{"info":"number node, value=2892","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=1510, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-16980","layer":3},{"info":"number node, value=3257","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=2608, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7824","layer":3},{"info":"compute binary expreesion, left_input=-16980, right_input=-7824, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1332","layer":2},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1881","layer":3},{"info":"number node, value=4945","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=1945, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1881, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1332, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=366, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≑⋹↹⩛12123)≬⇓↹⩛110245⊋≦⊧↹⩛53054)⩚⊴⇥((↹⩛14141⫠)⊜)⊹∫⫚((↹⩛21220⨒↹⩛10554)⪛(↹⩛23025↙↹⩛20024))⨥⫆((⨩∲⋌↹⩛10142)≒∊(↹⩛34521⫥∨⫟↹⩛13001))=NaN","reverse_text":"NaN=((≑⋹↹⩛12123)≬⇓↹⩛110245⊋≦⊧↹⩛53054)⩚⊴⇥((↹⩛14141⫠)⊜)⊹∫⫚((↹⩛21220⨒↹⩛10554)⪛(↹⩛23025↙↹⩛20024))⨥⫆((⨩∲⋌↹⩛10142)≒∊(↹⩛34521⫥∨⫟↹⩛13001))","cot":[{"info":"≑⋹↹⩛12123=↹⩛11350","layer":3},{"info":"↹⩛110245⊋≦⊧↹⩛53054=↹⩛-145112","layer":3},{"info":"↹⩛11350≬⇓↹⩛-145112=↹⩛-14143","layer":2},{"info":"↹⩛14141⫠=↹⩛0","layer":3},{"info":"↹⩛0⊜=↹⩛12012","layer":2},{"info":"↹⩛-14143⩚⊴⇥↹⩛12012=↹⩛1410","layer":1},{"info":"↹⩛21220⨒↹⩛10554=↹⩛-210340","layer":3},{"info":"↹⩛23025↙↹⩛20024=↹⩛-100120","layer":3},{"info":"↹⩛-210340⪛↹⩛-100120=↹⩛-10100","layer":2},{"info":"⨩∲⋌↹⩛10142=↹⩛-12413","layer":3},{"info":"↹⩛34521⫥∨⫟↹⩛13001=NaN","layer":3},{"info":"↹⩛-12413≒∊NaN=NaN","layer":2},{"info":"↹⩛-10100⨥⫆NaN=NaN","layer":1},{"info":"↹⩛1410⊹∫⫚NaN=NaN","layer":0}]} +{"id":252,"expression_no_base_symbol":"((⊊≼∋$2151$)⨓$2980$⪚$2921$⫌⩹⨱)↓(($2401$⩼⇪↪$1600$⋘⨑⨽)⨒($1998$⨉)∋($1087$↺$2660$))","expression":"((⊊≼∋↹⩛13543)⨓↹⩛21444⪚↹⩛21305⫌⩹⨱)↓((↹⩛15041⩼⇪↪↹⩛11224⋘⨑⨽)⨒(↹⩛13130⨉)∋(↹⩛5011↺↹⩛20152))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4893,"operation_count":11,"complexity_ratio":444.8181818181818,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2151,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2980,"base":6},"right_expr":{"type":"numeric_atoms","value":2921,"base":6}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2401,"base":6},"right_expr":{"type":"numeric_atoms","value":1600,"base":6}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1998,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1087,"base":6},"right_expr":{"type":"numeric_atoms","value":2660,"base":6}}}}},"used_operators":["Af076pWI7l","EBcxylXtPf","3ViojmjbAp","FWz7pXsQhA","HrjLwUk87U","y75s1iXyHd","WmT3o8z6ya","ocnLzx9CaJ","ukq6epAj5P","aMUSaJuDRU","7j4O788W3g"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","jCPkEVoL5K","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-1042","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=2921","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=2921, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-238","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-238, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=235","layer":2},{"info":"compute unary expreesion, input=235, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1871","layer":1},{"info":"number node, value=2401","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=1600, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7181","layer":3},{"info":"compute unary expreesion, input=-7181, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-35122","layer":2},{"info":"number node, value=1998","layer":4},{"info":"compute unary expreesion, input=1998, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=6324","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=2660, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2660","layer":3},{"info":"compute binary expreesion, left_input=6324, right_input=2660, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5786696","layer":2},{"info":"compute binary expreesion, left_input=-35122, right_input=5786696, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1871, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":0}],"base":6,"result_base":6,"text":"((⊊≼∋↹⩛13543)⨓↹⩛21444⪚↹⩛21305⫌⩹⨱)↓((↹⩛15041⩼⇪↪↹⩛11224⋘⨑⨽)⨒(↹⩛13130⨉)∋(↹⩛5011↺↹⩛20152))=↹⩛-1042","reverse_text":"↹⩛-1042=((⊊≼∋↹⩛13543)⨓↹⩛21444⪚↹⩛21305⫌⩹⨱)↓((↹⩛15041⩼⇪↪↹⩛11224⋘⨑⨽)⨒(↹⩛13130⨉)∋(↹⩛5011↺↹⩛20152))","cot":[{"info":"⊊≼∋↹⩛13543=↹⩛-2023","layer":3},{"info":"↹⩛21444⪚↹⩛21305=↹⩛-1034","layer":3},{"info":"↹⩛-2023⨓↹⩛-1034=↹⩛1031","layer":2},{"info":"↹⩛1031⫌⩹⨱=↹⩛12355","layer":1},{"info":"↹⩛15041⩼⇪↪↹⩛11224=↹⩛-53125","layer":3},{"info":"↹⩛-53125⋘⨑⨽=↹⩛-430334","layer":2},{"info":"↹⩛13130⨉=↹⩛45140","layer":3},{"info":"↹⩛5011↺↹⩛20152=↹⩛20152","layer":3},{"info":"↹⩛45140∋↹⩛20152=↹⩛324010132","layer":2},{"info":"↹⩛-430334⨒↹⩛324010132=↹⩛0","layer":1},{"info":"↹⩛12355↓↹⩛0=↹⩛-1042","layer":0}]} +{"id":253,"expression_no_base_symbol":"($3261$⩒⫫$1477$∖($3373$↓⨍⋜)⫡⨏($1378$⨂≜$2007$)⊕∕($5246$⨰$4540$))⋓(($4103$⨳⩥⨓$4442$)≒∊($7620$⨳⩥⨓$5798$)≓∲(≑⋹$2186$)⋭≵($1511$⩭))","expression":"(↹⩛23033⩒⫫↹⩛10501∖(↹⩛23341↓⨍⋜)⫡⨏(↹⩛10214⨂≜↹⩛13143)⊕∕(↹⩛40142⨰↹⩛33004))⋓((↹⩛30555⨳⩥⨓↹⩛32322)≒∊(↹⩛55140⨳⩥⨓↹⩛42502)≓∲(≑⋹↹⩛14042)⋭≵(↹⩛10555⩭))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":31914,"operation_count":15,"complexity_ratio":2127.6,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3261,"base":6},"right_expr":{"type":"numeric_atoms","value":1477,"base":6}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":3373,"base":6}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1378,"base":6},"right_expr":{"type":"numeric_atoms","value":2007,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5246,"base":6},"right_expr":{"type":"numeric_atoms","value":4540,"base":6}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4103,"base":6},"right_expr":{"type":"numeric_atoms","value":4442,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7620,"base":6},"right_expr":{"type":"numeric_atoms","value":5798,"base":6}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2186,"base":6}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1511,"base":6}}}}},"used_operators":["T2fj7uvVaJ","QMFrweE19q","tXD093vOjl","KFSx94NKJn","3DVzLFNsE9","9cloC0Ngie","k1SHOSEABc","eewbuw0ToL","s1XTVnmDOJ","5KTvxBwnZo","nCS4ZIUYfx","jBncVCNhdl","6B9nyZLogK","yIPP7u6H5x"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3261","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=1477, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2959","layer":3},{"info":"number node, value=3373","layer":4},{"info":"compute unary expreesion, input=3373, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=2959, right_input=6590, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1378","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=2007, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5246","layer":4},{"info":"number node, value=4540","layer":4},{"info":"compute binary expreesion, left_input=5246, right_input=4540, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=716, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=4103","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=4442, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=339","layer":3},{"info":"number node, value=7620","layer":4},{"info":"number node, value=5798","layer":4},{"info":"compute binary expreesion, left_input=7620, right_input=5798, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1822","layer":3},{"info":"compute binary expreesion, left_input=339, right_input=-1822, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=145","layer":2},{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=145, right_input=67, 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=-10472","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10472, 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":6,"result_base":6,"text":"(↹⩛23033⩒⫫↹⩛10501∖(↹⩛23341↓⨍⋜)⫡⨏(↹⩛10214⨂≜↹⩛13143)⊕∕(↹⩛40142⨰↹⩛33004))⋓((↹⩛30555⨳⩥⨓↹⩛32322)≒∊(↹⩛55140⨳⩥⨓↹⩛42502)≓∲(≑⋹↹⩛14042)⋭≵(↹⩛10555⩭))=↹⩛0","reverse_text":"↹⩛0=(↹⩛23033⩒⫫↹⩛10501∖(↹⩛23341↓⨍⋜)⫡⨏(↹⩛10214⨂≜↹⩛13143)⊕∕(↹⩛40142⨰↹⩛33004))⋓((↹⩛30555⨳⩥⨓↹⩛32322)≒∊(↹⩛55140⨳⩥⨓↹⩛42502)≓∲(≑⋹↹⩛14042)⋭≵(↹⩛10555⩭))","cot":[{"info":"↹⩛23033⩒⫫↹⩛10501=↹⩛21411","layer":3},{"info":"↹⩛23341↓⨍⋜=↹⩛50302","layer":3},{"info":"↹⩛21411∖↹⩛50302=↹⩛0","layer":2},{"info":"↹⩛10214⨂≜↹⩛13143=NaN","layer":3},{"info":"↹⩛40142⨰↹⩛33004=↹⩛3152","layer":3},{"info":"NaN⊕∕↹⩛3152=NaN","layer":2},{"info":"↹⩛0⫡⨏NaN=NaN","layer":1},{"info":"↹⩛30555⨳⩥⨓↹⩛32322=↹⩛1323","layer":3},{"info":"↹⩛55140⨳⩥⨓↹⩛42502=↹⩛-12234","layer":3},{"info":"↹⩛1323≒∊↹⩛-12234=↹⩛401","layer":2},{"info":"≑⋹↹⩛14042=↹⩛11350","layer":3},{"info":"↹⩛10555⩭=NaN","layer":3},{"info":"↹⩛11350⋭≵NaN=↹⩛151","layer":2},{"info":"↹⩛401≓∲↹⩛151=↹⩛-120252","layer":1},{"info":"NaN⋓↹⩛-120252=↹⩛0","layer":0}]} +{"id":254,"expression_no_base_symbol":"(⊄⩳↩($1690$⨐⩸⫘$4400$))⇻⋧≁(⨆≐≲($1924$⫁⪎$4043$))∌(⪛⨧($4221$⪎↠$7095$)∳⫺($1416$⪭≯$1226$))","expression":"(⊄⩳↩(↹⩛11454⨐⩸⫘↹⩛32212))⇻⋧≁(⨆≐≲(↹⩛12524⫁⪎↹⩛30415))∌(⪛⨧(↹⩛31313⪎↠↹⩛52503)∳⫺(↹⩛10320⪭≯↹⩛5402))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":562,"operation_count":10,"complexity_ratio":56.2,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1690,"base":6},"right_expr":{"type":"numeric_atoms","value":4400,"base":6}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1924,"base":6},"right_expr":{"type":"numeric_atoms","value":4043,"base":6}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4221,"base":6},"right_expr":{"type":"numeric_atoms","value":7095,"base":6}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1416,"base":6},"right_expr":{"type":"numeric_atoms","value":1226,"base":6}}}}},"used_operators":["8cLx32lpNA","jCPkEVoL5K","8w2t5hMYqp","fu6greOZ01","Bi9z9uYZqW","xRrnTEsQ6j","6NJAcO2OWT","AzXXKTstlj","3tVxb0NHM4","XAx5wpdLa6"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"↹⩛-4025","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1690","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=4400, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1924","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=4043, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2119","layer":3},{"info":"compute unary expreesion, input=-2119, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-168548, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"number node, value=4221","layer":4},{"info":"number node, value=7095","layer":4},{"info":"compute binary expreesion, left_input=4221, right_input=7095, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1226, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=881","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=881, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-881","layer":0}],"base":6,"result_base":6,"text":"(⊄⩳↩(↹⩛11454⨐⩸⫘↹⩛32212))⇻⋧≁(⨆≐≲(↹⩛12524⫁⪎↹⩛30415))∌(⪛⨧(↹⩛31313⪎↠↹⩛52503)∳⫺(↹⩛10320⪭≯↹⩛5402))=↹⩛-4025","reverse_text":"↹⩛-4025=(⊄⩳↩(↹⩛11454⨐⩸⫘↹⩛32212))⇻⋧≁(⨆≐≲(↹⩛12524⫁⪎↹⩛30415))∌(⪛⨧(↹⩛31313⪎↠↹⩛52503)∳⫺(↹⩛10320⪭≯↹⩛5402))","cot":[{"info":"↹⩛11454⨐⩸⫘↹⩛32212=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"↹⩛12524⫁⪎↹⩛30415=↹⩛-13451","layer":3},{"info":"⨆≐≲↹⩛-13451=↹⩛-3340152","layer":2},{"info":"NaN⇻⋧≁↹⩛-3340152=↹⩛0","layer":1},{"info":"↹⩛31313⪎↠↹⩛52503=↹⩛424","layer":3},{"info":"↹⩛10320⪭≯↹⩛5402=NaN","layer":3},{"info":"↹⩛424∳⫺NaN=↹⩛-1112","layer":2},{"info":"⪛⨧↹⩛-1112=↹⩛4025","layer":1},{"info":"↹⩛0∌↹⩛4025=↹⩛-4025","layer":0}]} +{"id":255,"expression_no_base_symbol":"≯((⊁⨺(⊊≼∋$3293$))*($3638$⊨$6939$)⫘$3520$⊕∕$3680$)","expression":"≯((⊁⨺(⊊≼∋↹⩛23125))*(↹⩛24502⊨↹⩛52043)⫘↹⩛24144⊕∕↹⩛25012)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21506,"operation_count":7,"complexity_ratio":3072.285714285714,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3293,"base":6}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3638,"base":6},"right_expr":{"type":"numeric_atoms","value":6939,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3520,"base":6},"right_expr":{"type":"numeric_atoms","value":3680,"base":6}}}}},"used_operators":["keWfFq85dY","9HNa5Wba9A","PxiHyQbrIp","FWz7pXsQhA","48vC8HMD2b","vg4gO5BX6G","9cloC0Ngie"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-2346","layer":2},{"info":"number node, value=3638","layer":4},{"info":"number node, value=6939","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=6939, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=15583","layer":3},{"info":"number node, value=3520","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=3680, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3520","layer":3},{"info":"compute binary expreesion, left_input=15583, right_input=3520, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=18330013","layer":2},{"info":"compute binary expreesion, left_input=-2346, right_input=18330013, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≯((⊁⨺(⊊≼∋↹⩛23125))*(↹⩛24502⊨↹⩛52043)⫘↹⩛24144⊕∕↹⩛25012)=NaN","reverse_text":"NaN=≯((⊁⨺(⊊≼∋↹⩛23125))*(↹⩛24502⊨↹⩛52043)⫘↹⩛24144⊕∕↹⩛25012)","cot":[{"info":"⊊≼∋↹⩛23125=↹⩛-2023","layer":3},{"info":"⊁⨺↹⩛-2023=↹⩛-14510","layer":2},{"info":"↹⩛24502⊨↹⩛52043=↹⩛200051","layer":3},{"info":"↹⩛24144⊕∕↹⩛25012=↹⩛24144","layer":3},{"info":"↹⩛200051⫘↹⩛24144=↹⩛1452513101","layer":2},{"info":"↹⩛-14510*↹⩛1452513101=-Inf","layer":1},{"info":"≯-Inf=NaN","layer":0}]} +{"id":256,"expression_no_base_symbol":"(⇨(($1791$⇡)⨻⩈⩔($1346$⨘⋶⪀)))⋳⪒($5001$⋣⋖$7327$)⪬($4309$⨻⩈⩔$7914$)⨐($1566$⫁$2490$∠↢$1151$↬$3622$)","expression":"(⇨((↹⩛12143⇡)⨻⩈⩔(↹⩛10122⨘⋶⪀)))⋳⪒(↹⩛35053⋣⋖↹⩛53531)⪬(↹⩛31541⨻⩈⩔↹⩛100350)⨐(↹⩛11130⫁↹⩛15310∠↢↹⩛5155↬↹⩛24434)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1028,"operation_count":12,"complexity_ratio":85.66666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1791,"base":6}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1346,"base":6}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5001,"base":6},"right_expr":{"type":"numeric_atoms","value":7327,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4309,"base":6},"right_expr":{"type":"numeric_atoms","value":7914,"base":6}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1566,"base":6},"right_expr":{"type":"numeric_atoms","value":2490,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1151,"base":6},"right_expr":{"type":"numeric_atoms","value":3622,"base":6}}}}},"used_operators":["12rbrZMWeM","G9tJMlZ94a","nEsXyWgiOK","UqFzSgLMvQ","XVKwrhznBb","Noe24qw2ks","Ez1Nq5fNfI","J0M6qkBnIM","KbjG8mgYpV","0ajvFaJAv0","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=1346","layer":4},{"info":"compute unary expreesion, input=1346, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"number node, value=5001","layer":4},{"info":"number node, value=7327","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=7327, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5001","layer":3},{"info":"number node, value=4309","layer":4},{"info":"number node, value=7914","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=7914, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=26071","layer":3},{"info":"compute binary expreesion, left_input=5001, right_input=26071, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1566","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=2490, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=3622, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2468","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2468, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇨((↹⩛12143⇡)⨻⩈⩔(↹⩛10122⨘⋶⪀)))⋳⪒(↹⩛35053⋣⋖↹⩛53531)⪬(↹⩛31541⨻⩈⩔↹⩛100350)⨐(↹⩛11130⫁↹⩛15310∠↢↹⩛5155↬↹⩛24434)=NaN","reverse_text":"NaN=(⇨((↹⩛12143⇡)⨻⩈⩔(↹⩛10122⨘⋶⪀)))⋳⪒(↹⩛35053⋣⋖↹⩛53531)⪬(↹⩛31541⨻⩈⩔↹⩛100350)⨐(↹⩛11130⫁↹⩛15310∠↢↹⩛5155↬↹⩛24434)","cot":[{"info":"↹⩛12143⇡=↹⩛-21301","layer":3},{"info":"↹⩛10122⨘⋶⪀=NaN","layer":3},{"info":"↹⩛-21301⨻⩈⩔NaN=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"↹⩛35053⋣⋖↹⩛53531=↹⩛35053","layer":3},{"info":"↹⩛31541⨻⩈⩔↹⩛100350=↹⩛320411","layer":3},{"info":"↹⩛35053⪬↹⩛320411=↹⩛5414","layer":2},{"info":"↹⩛11130⫁↹⩛15310=↹⩛424","layer":3},{"info":"↹⩛5155↬↹⩛24434=NaN","layer":3},{"info":"↹⩛424∠↢NaN=NaN","layer":2},{"info":"↹⩛5414⨐NaN=↹⩛-15232","layer":1},{"info":"NaN⋳⪒↹⩛-15232=NaN","layer":0}]} +{"id":257,"expression_no_base_symbol":"(($1495$⋩≍≻)/$1561$⫒⫫$1555$)⫣⪄⊒(($4950$⩘$3537$)↹⊜($1063$↸$2595$))⨎(∂(⫶⊄≣(⨑⩽⪐$1883$)))","expression":"((↹⩛10531⋩≍≻)/↹⩛11121⫒⫫↹⩛11111)⫣⪄⊒((↹⩛34530⩘↹⩛24213)↹⊜(↹⩛4531↸↹⩛20003))⨎(∂(⫶⊄≣(⨑⩽⪐↹⩛12415)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2890,"operation_count":11,"complexity_ratio":262.72727272727275,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1495,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1561,"base":6},"right_expr":{"type":"numeric_atoms","value":1555,"base":6}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4950,"base":6},"right_expr":{"type":"numeric_atoms","value":3537,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1063,"base":6},"right_expr":{"type":"numeric_atoms","value":2595,"base":6}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1883,"base":6}}}}},"used_operators":["rJVOvQCfKK","RabNbG55vr","XhwjNDsVaA","WYd1w68Nbz","6Ko8hGgeMq","9bazX3JMtO","cHh1gJQ2o6","1eCjFl0mb9","Uaa54Peajs","wxb3vTeyAj","AF7qkfDlqP"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=1561","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=1555, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4950","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=3537, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2595, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1063","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1063, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-8600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8600, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1610","layer":3},{"info":"compute unary expreesion, input=-1610, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=46625509","layer":2},{"info":"compute unary expreesion, input=46625509, 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=160, 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":6,"result_base":6,"text":"((↹⩛10531⋩≍≻)/↹⩛11121⫒⫫↹⩛11111)⫣⪄⊒((↹⩛34530⩘↹⩛24213)↹⊜(↹⩛4531↸↹⩛20003))⨎(∂(⫶⊄≣(⨑⩽⪐↹⩛12415)))=NaN","reverse_text":"NaN=((↹⩛10531⋩≍≻)/↹⩛11121⫒⫫↹⩛11111)⫣⪄⊒((↹⩛34530⩘↹⩛24213)↹⊜(↹⩛4531↸↹⩛20003))⨎(∂(⫶⊄≣(⨑⩽⪐↹⩛12415)))","cot":[{"info":"↹⩛10531⋩≍≻=↹⩛-131","layer":3},{"info":"↹⩛11121⫒⫫↹⩛11111=NaN","layer":3},{"info":"↹⩛-131/NaN=NaN","layer":2},{"info":"↹⩛34530⩘↹⩛24213=↹⩛424","layer":3},{"info":"↹⩛4531↸↹⩛20003=↹⩛4531","layer":3},{"info":"↹⩛424↹⊜↹⩛4531=↹⩛-103452","layer":2},{"info":"NaN⫣⪄⊒↹⩛-103452=↹⩛424","layer":1},{"info":"⨑⩽⪐↹⩛12415=↹⩛-11242","layer":3},{"info":"⫶⊄≣↹⩛-11242=↹⩛4343202501","layer":2},{"info":"∂↹⩛4343202501=NaN","layer":1},{"info":"↹⩛424⨎NaN=NaN","layer":0}]} +{"id":258,"expression_no_base_symbol":"(⫟(⨦⪝$4846$)⋻⩜⩜$3339$≥⨤⩑$3614$)⋓($2949$⪃↞⩐)⊉↱≁($2053$⪥$1618$)⪮%⊝($5414$⪭$1228$)⪝($4710$⩘⨬⇊)","expression":"(⫟(⨦⪝↹⩛34234)⋻⩜⩜↹⩛23243≥⨤⩑↹⩛24422)⋓(↹⩛21353⪃↞⩐)⊉↱≁(↹⩛13301⪥↹⩛11254)⪮%⊝(↹⩛41022⪭↹⩛5404)⪝(↹⩛33450⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2850,"operation_count":12,"complexity_ratio":237.5,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":4846,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3339,"base":6},"right_expr":{"type":"numeric_atoms","value":3614,"base":6}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2949,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2053,"base":6},"right_expr":{"type":"numeric_atoms","value":1618,"base":6}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5414,"base":6},"right_expr":{"type":"numeric_atoms","value":1228,"base":6}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":4710,"base":6}}}}},"used_operators":["T2fj7uvVaJ","z4E1FaHLuy","oDCm7WA9JY","SUjycxNXIR","gJLn6v0xnP","IWmyXbctLI","w2P8NbNXyL","grXIztHqDa","QbnwKVWMIQ","wicAB68Tmb","j9kHMeSvPp","XXmTpEpWTW"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","COABgblf1C","xUOZtlo3hN","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=3339","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=3614, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=1234, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9460","layer":2},{"info":"compute unary expreesion, input=9460, 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=-27473","layer":1},{"info":"number node, value=2949","layer":4},{"info":"compute unary expreesion, input=2949, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=18000","layer":3},{"info":"number node, value=2053","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=1618, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12864","layer":3},{"info":"compute binary expreesion, left_input=18000, right_input=12864, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=102764","layer":2},{"info":"number node, value=5414","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=1228, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4710","layer":4},{"info":"compute unary expreesion, input=4710, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=102764, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-27473, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⫟(⨦⪝↹⩛34234)⋻⩜⩜↹⩛23243≥⨤⩑↹⩛24422)⋓(↹⩛21353⪃↞⩐)⊉↱≁(↹⩛13301⪥↹⩛11254)⪮%⊝(↹⩛41022⪭↹⩛5404)⪝(↹⩛33450⩘⨬⇊)=NaN","reverse_text":"NaN=(⫟(⨦⪝↹⩛34234)⋻⩜⩜↹⩛23243≥⨤⩑↹⩛24422)⋓(↹⩛21353⪃↞⩐)⊉↱≁(↹⩛13301⪥↹⩛11254)⪮%⊝(↹⩛41022⪭↹⩛5404)⪝(↹⩛33450⩘⨬⇊)","cot":[{"info":"⨦⪝↹⩛34234=↹⩛-12420","layer":3},{"info":"↹⩛23243≥⨤⩑↹⩛24422=↹⩛5414","layer":3},{"info":"↹⩛-12420⋻⩜⩜↹⩛5414=↹⩛111444","layer":2},{"info":"⫟↹⩛111444=↹⩛-331105","layer":1},{"info":"↹⩛21353⪃↞⩐=↹⩛215200","layer":3},{"info":"↹⩛13301⪥↹⩛11254=↹⩛135320","layer":3},{"info":"↹⩛215200⊉↱≁↹⩛135320=↹⩛2111432","layer":2},{"info":"↹⩛41022⪭↹⩛5404=↹⩛5","layer":3},{"info":"↹⩛33450⩘⨬⇊=NaN","layer":3},{"info":"↹⩛5⪝NaN=NaN","layer":2},{"info":"↹⩛2111432⪮%⊝NaN=NaN","layer":1},{"info":"↹⩛-331105⋓NaN=NaN","layer":0}]} +{"id":259,"expression_no_base_symbol":"(($1544$≀⫉$1336$)↢($5171$⋅⇍$2798$)⪨≂($4731$⋘⨑⨽)∣($2401$⨸⪁$8002$))⩦((⫛⫱⨽($2295$↱$7287$))↡⊰⫅($3587$∣$1075$)∊∟⩊($3560$⪄$3284$))","expression":"((↹⩛11052≀⫉↹⩛10104)↢(↹⩛35535⋅⇍↹⩛20542)⪨≂(↹⩛33523⋘⨑⨽)∣(↹⩛15041⨸⪁↹⩛101014))⩦((⫛⫱⨽(↹⩛14343↱↹⩛53423))↡⊰⫅(↹⩛24335∣↹⩛4551)∊∟⩊(↹⩛24252⪄↹⩛23112))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1802,"operation_count":14,"complexity_ratio":128.71428571428572,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1544,"base":6},"right_expr":{"type":"numeric_atoms","value":1336,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5171,"base":6},"right_expr":{"type":"numeric_atoms","value":2798,"base":6}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":4731,"base":6}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2401,"base":6},"right_expr":{"type":"numeric_atoms","value":8002,"base":6}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2295,"base":6},"right_expr":{"type":"numeric_atoms","value":7287,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3587,"base":6},"right_expr":{"type":"numeric_atoms","value":1075,"base":6}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3560,"base":6},"right_expr":{"type":"numeric_atoms","value":3284,"base":6}}}}},"used_operators":["0kmYd0q39Y","sdazOOVcIp","WR6HLWljOP","oZj3VtZNQx","AdZkA7nFnk","PPChnnnBFF","WmT3o8z6ya","g55IO6H4Gj","VCtxkLNOzz","DlLNRPXxWL","SR5kFfdi6N","ddLRYrp01A","SUmda5xLS4"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rGHVDoGpnC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1336, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5171","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=5171, right_input=2798, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-22, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2338","layer":2},{"info":"number node, value=4731","layer":4},{"info":"compute unary expreesion, input=4731, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=24438","layer":3},{"info":"number node, value=2401","layer":4},{"info":"number node, value=8002","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=8002, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20806","layer":3},{"info":"compute binary expreesion, left_input=24438, right_input=20806, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=24438","layer":2},{"info":"compute binary expreesion, left_input=2338, right_input=24438, 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=-44098","layer":1},{"info":"number node, value=2295","layer":4},{"info":"number node, value=7287","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=7287, 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=-21339","layer":3},{"info":"compute unary expreesion, input=-21339, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=3587","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=1075, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3587","layer":3},{"info":"number node, value=3560","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=3284, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-536105","layer":3},{"info":"compute binary expreesion, left_input=3587, right_input=-536105, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-536105","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-536105, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-44098, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11052≀⫉↹⩛10104)↢(↹⩛35535⋅⇍↹⩛20542)⪨≂(↹⩛33523⋘⨑⨽)∣(↹⩛15041⨸⪁↹⩛101014))⩦((⫛⫱⨽(↹⩛14343↱↹⩛53423))↡⊰⫅(↹⩛24335∣↹⩛4551)∊∟⩊(↹⩛24252⪄↹⩛23112))=NaN","reverse_text":"NaN=((↹⩛11052≀⫉↹⩛10104)↢(↹⩛35535⋅⇍↹⩛20542)⪨≂(↹⩛33523⋘⨑⨽)∣(↹⩛15041⨸⪁↹⩛101014))⩦((⫛⫱⨽(↹⩛14343↱↹⩛53423))↡⊰⫅(↹⩛24335∣↹⩛4551)∊∟⩊(↹⩛24252⪄↹⩛23112))","cot":[{"info":"↹⩛11052≀⫉↹⩛10104=↹⩛21022","layer":3},{"info":"↹⩛35535⋅⇍↹⩛20542=↹⩛-34","layer":3},{"info":"↹⩛21022↢↹⩛-34=↹⩛14454","layer":2},{"info":"↹⩛33523⋘⨑⨽=↹⩛305050","layer":3},{"info":"↹⩛15041⨸⪁↹⩛101014=↹⩛240154","layer":3},{"info":"↹⩛305050∣↹⩛240154=↹⩛305050","layer":2},{"info":"↹⩛14454⪨≂↹⩛305050=↹⩛-540054","layer":1},{"info":"↹⩛14343↱↹⩛53423=↹⩛-242443","layer":3},{"info":"⫛⫱⨽↹⩛-242443=↹⩛0","layer":2},{"info":"↹⩛24335∣↹⩛4551=↹⩛24335","layer":3},{"info":"↹⩛24252⪄↹⩛23112=↹⩛-15253545","layer":3},{"info":"↹⩛24335∊∟⩊↹⩛-15253545=↹⩛-15253545","layer":2},{"info":"↹⩛0↡⊰⫅↹⩛-15253545=NaN","layer":1},{"info":"↹⩛-540054⩦NaN=NaN","layer":0}]} +{"id":260,"expression_no_base_symbol":"(($1405$⩹$9328$)⫥∨⫟$1751$∀⇚≩$1504$)⇂≾⫗(⨆≐≲(⨛$1681$))⩘⨬⇊","expression":"((↹⩛10301⩹↹⩛111104)⫥∨⫟↹⩛12035∀⇚≩↹⩛10544)⇂≾⫗(⨆≐≲(⨛↹⩛11441))⩘⨬⇊","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13124,"operation_count":7,"complexity_ratio":1874.857142857143,"tree":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1405,"base":6},"right_expr":{"type":"numeric_atoms","value":9328,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1751,"base":6},"right_expr":{"type":"numeric_atoms","value":1504,"base":6}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1681,"base":6}}}}},"used_operators":["XXmTpEpWTW","aBQ6xLxuTc","KYD54nUTWz","2Wsdkap16l","LRNGc0VcxI","Bi9z9uYZqW","CoMdbyAt7R"],"dependent_operators":["rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","X99M06cbEe","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"number node, value=9328","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=9328, 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=9326","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1504, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9326, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1681","layer":4},{"info":"compute unary expreesion, input=1681, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-168548, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10301⩹↹⩛111104)⫥∨⫟↹⩛12035∀⇚≩↹⩛10544)⇂≾⫗(⨆≐≲(⨛↹⩛11441))⩘⨬⇊=NaN","reverse_text":"NaN=((↹⩛10301⩹↹⩛111104)⫥∨⫟↹⩛12035∀⇚≩↹⩛10544)⇂≾⫗(⨆≐≲(⨛↹⩛11441))⩘⨬⇊","cot":[{"info":"↹⩛10301⩹↹⩛111104=↹⩛111102","layer":3},{"info":"↹⩛12035∀⇚≩↹⩛10544=NaN","layer":3},{"info":"↹⩛111102⫥∨⫟NaN=NaN","layer":2},{"info":"⨛↹⩛11441=NaN","layer":3},{"info":"⨆≐≲NaN=↹⩛-3340152","layer":2},{"info":"NaN⇂≾⫗↹⩛-3340152=NaN","layer":1},{"info":"NaN⩘⨬⇊=NaN","layer":0}]} +{"id":261,"expression_no_base_symbol":"(⊖∈(⨭⩧⫛($6078$⫞⩸⩒$3422$)))⫏⊷","expression":"(⊖∈(⨭⩧⫛(↹⩛44050⫞⩸⩒↹⩛23502)))⫏⊷","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":244,"operation_count":4,"complexity_ratio":61.0,"tree":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6078,"base":6},"right_expr":{"type":"numeric_atoms","value":3422,"base":6}}}}},"used_operators":["dcShxvzhyw","YFxL8Sc2Zy","g21JL6JxX7","XGcMNugi78"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6078","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=3422, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3422","layer":3},{"info":"compute unary expreesion, input=3422, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊖∈(⨭⩧⫛(↹⩛44050⫞⩸⩒↹⩛23502)))⫏⊷=NaN","reverse_text":"NaN=(⊖∈(⨭⩧⫛(↹⩛44050⫞⩸⩒↹⩛23502)))⫏⊷","cot":[{"info":"↹⩛44050⫞⩸⩒↹⩛23502=↹⩛23502","layer":3},{"info":"⨭⩧⫛↹⩛23502=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"NaN⫏⊷=NaN","layer":0}]} +{"id":262,"expression_no_base_symbol":"(($6499$⩚⊴⇥$1086$)⋥⋵⩄($2329$∠↢$1420$)∲⫓$7667$≨$4476$⫳≱↱($2393$⨘))⫿","expression":"((↹⩛50031⩚⊴⇥↹⩛5010)⋥⋵⩄(↹⩛14441∠↢↹⩛10324)∲⫓↹⩛55255≨↹⩛32420⫳≱↱(↹⩛15025⨘))⫿","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2580,"operation_count":8,"complexity_ratio":322.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6499,"base":6},"right_expr":{"type":"numeric_atoms","value":1086,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2329,"base":6},"right_expr":{"type":"numeric_atoms","value":1420,"base":6}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":7667,"base":6},"right_expr":{"type":"numeric_atoms","value":4476,"base":6}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":2393,"base":6}}}}},"used_operators":["9tKT6PmtkH","i8ToyICDmI","7t3wd0Fuz7","NTOWxs364D","KbjG8mgYpV","ZvLB05nZmT","0KMCeP1Jsh","ljcfZBUpm8"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"↹⩛10153440","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6499","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=6499, right_input=1086, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7706","layer":3},{"info":"number node, value=2329","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=1420, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-28114","layer":3},{"info":"compute binary expreesion, left_input=-7706, right_input=-28114, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=295008","layer":2},{"info":"number node, value=7667","layer":4},{"info":"number node, value=4476","layer":4},{"info":"compute binary expreesion, left_input=7667, right_input=4476, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-74194","layer":3},{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-17526","layer":3},{"info":"compute binary expreesion, left_input=-74194, right_input=-17526, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=295008, right_input=-2802, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=295008","layer":1},{"info":"compute unary expreesion, input=295008, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=295008","layer":0}],"base":6,"result_base":6,"text":"((↹⩛50031⩚⊴⇥↹⩛5010)⋥⋵⩄(↹⩛14441∠↢↹⩛10324)∲⫓↹⩛55255≨↹⩛32420⫳≱↱(↹⩛15025⨘))⫿=↹⩛10153440","reverse_text":"↹⩛10153440=((↹⩛50031⩚⊴⇥↹⩛5010)⋥⋵⩄(↹⩛14441∠↢↹⩛10324)∲⫓↹⩛55255≨↹⩛32420⫳≱↱(↹⩛15025⨘))⫿","cot":[{"info":"↹⩛50031⩚⊴⇥↹⩛5010=↹⩛-55402","layer":3},{"info":"↹⩛14441∠↢↹⩛10324=↹⩛-334054","layer":3},{"info":"↹⩛-55402⋥⋵⩄↹⩛-334054=↹⩛10153440","layer":2},{"info":"↹⩛55255≨↹⩛32420=↹⩛-1331254","layer":3},{"info":"↹⩛15025⨘=↹⩛-213050","layer":3},{"info":"↹⩛-1331254⫳≱↱↹⩛-213050=↹⩛-20550","layer":2},{"info":"↹⩛10153440∲⫓↹⩛-20550=↹⩛10153440","layer":1},{"info":"↹⩛10153440⫿=↹⩛10153440","layer":0}]} +{"id":263,"expression_no_base_symbol":"(⇐(($1703$↡⊰⫅$7204$)⪍↜⋙$3075$⨸$5980$))⊦⊿","expression":"(⇐((↹⩛11515↡⊰⫅↹⩛53204)⪍↜⋙↹⩛22123⨸↹⩛43404))⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":104126,"operation_count":5,"complexity_ratio":20825.2,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1703,"base":6},"right_expr":{"type":"numeric_atoms","value":7204,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3075,"base":6},"right_expr":{"type":"numeric_atoms","value":5980,"base":6}}}}},"used_operators":["14qkJME0vr","nmZMaaE0Q9","L05ObWFQCd","VCtxkLNOzz","KmoU8R5UQR"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"↹⩛-1231401","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"number node, value=7204","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=7204, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=14408","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=5980, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6150","layer":3},{"info":"compute binary expreesion, left_input=14408, right_input=6150, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=16516","layer":2},{"info":"compute unary expreesion, input=16516, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=22126","layer":1},{"info":"compute unary expreesion, input=22126, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-66457","layer":0}],"base":6,"result_base":6,"text":"(⇐((↹⩛11515↡⊰⫅↹⩛53204)⪍↜⋙↹⩛22123⨸↹⩛43404))⊦⊿=↹⩛-1231401","reverse_text":"↹⩛-1231401=(⇐((↹⩛11515↡⊰⫅↹⩛53204)⪍↜⋙↹⩛22123⨸↹⩛43404))⊦⊿","cot":[{"info":"↹⩛11515↡⊰⫅↹⩛53204=↹⩛150412","layer":3},{"info":"↹⩛22123⨸↹⩛43404=↹⩛44250","layer":3},{"info":"↹⩛150412⪍↜⋙↹⩛44250=↹⩛204244","layer":2},{"info":"⇐↹⩛204244=↹⩛250234","layer":1},{"info":"↹⩛250234⊦⊿=↹⩛-1231401","layer":0}]} +{"id":264,"expression_no_base_symbol":"$2944$⇴$4187$⊹∫⫚$5663$⪔⊥$6997$↙($3483$⪥$3287$↛⩡⫤)∽($5212$⇴∐$2738$⪇≇⋚($2969$⨽$1430$))⨻⩈⩔($3615$⩘⨬⇊)↬$1884$⩼⇪↪$3172$","expression":"↹⩛21344⇴↹⩛31215⊹∫⫚↹⩛42115⪔⊥↹⩛52221↙(↹⩛24043⪥↹⩛23115↛⩡⫤)∽(↹⩛40044⇴∐↹⩛20402⪇≇⋚(↹⩛21425⨽↹⩛10342))⨻⩈⩔(↹⩛24423⩘⨬⇊)↬↹⩛12420⩼⇪↪↹⩛22404","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":60088,"operation_count":14,"complexity_ratio":4292.0,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2944,"base":6},"right_expr":{"type":"numeric_atoms","value":4187,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5663,"base":6},"right_expr":{"type":"numeric_atoms","value":6997,"base":6}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3483,"base":6},"right_expr":{"type":"numeric_atoms","value":3287,"base":6}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5212,"base":6},"right_expr":{"type":"numeric_atoms","value":2738,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2969,"base":6},"right_expr":{"type":"numeric_atoms","value":1430,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3615,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1884,"base":6},"right_expr":{"type":"numeric_atoms","value":3172,"base":6}}}}},"used_operators":["y4ImoPnbV5","yyfyN0ffXY","uWAJUKEvyW","4JB6nKBMSY","HJ9erzHUuu","FU0Cs4j7VP","QbnwKVWMIQ","nEsXyWgiOK","3sJ7IOPOlU","HnzytWxmAO","8HhzD0ZcuI","B5M0gjZbta","XXmTpEpWTW","ocnLzx9CaJ"],"dependent_operators":["NTOWxs364D","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2944","layer":4},{"info":"number node, value=4187","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=4187, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25652","layer":3},{"info":"number node, value=5663","layer":4},{"info":"number node, value=6997","layer":4},{"info":"compute binary expreesion, left_input=5663, right_input=6997, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8459","layer":3},{"info":"compute binary expreesion, left_input=25652, right_input=8459, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-220","layer":2},{"info":"number node, value=3483","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=3287, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=18584","layer":3},{"info":"compute unary expreesion, input=18584, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2802273","layer":2},{"info":"compute binary expreesion, left_input=-220, right_input=-2802273, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-220","layer":1},{"info":"number node, value=5212","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=5212, right_input=2738, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2969","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=1430, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26447859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26447859, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"number node, value=3615","layer":4},{"info":"compute unary expreesion, input=3615, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1884","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=3172, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19219","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-19219, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-220, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛21344⇴↹⩛31215⊹∫⫚↹⩛42115⪔⊥↹⩛52221↙(↹⩛24043⪥↹⩛23115↛⩡⫤)∽(↹⩛40044⇴∐↹⩛20402⪇≇⋚(↹⩛21425⨽↹⩛10342))⨻⩈⩔(↹⩛24423⩘⨬⇊)↬↹⩛12420⩼⇪↪↹⩛22404=NaN","reverse_text":"NaN=↹⩛21344⇴↹⩛31215⊹∫⫚↹⩛42115⪔⊥↹⩛52221↙(↹⩛24043⪥↹⩛23115↛⩡⫤)∽(↹⩛40044⇴∐↹⩛20402⪇≇⋚(↹⩛21425⨽↹⩛10342))⨻⩈⩔(↹⩛24423⩘⨬⇊)↬↹⩛12420⩼⇪↪↹⩛22404","cot":[{"info":"↹⩛21344⇴↹⩛31215=↹⩛314432","layer":3},{"info":"↹⩛42115⪔⊥↹⩛52221=↹⩛103055","layer":3},{"info":"↹⩛314432⊹∫⫚↹⩛103055=↹⩛-1004","layer":2},{"info":"↹⩛24043⪥↹⩛23115=↹⩛222012","layer":3},{"info":"↹⩛222012↛⩡⫤=↹⩛-140021253","layer":2},{"info":"↹⩛-1004↙↹⩛-140021253=↹⩛-1004","layer":1},{"info":"↹⩛40044⇴∐↹⩛20402=NaN","layer":3},{"info":"↹⩛21425⨽↹⩛10342=↹⩛-2342511443","layer":3},{"info":"NaN⪇≇⋚↹⩛-2342511443=NaN","layer":2},{"info":"↹⩛24423⩘⨬⇊=NaN","layer":3},{"info":"↹⩛12420⩼⇪↪↹⩛22404=↹⩛-224551","layer":3},{"info":"NaN↬↹⩛-224551=NaN","layer":2},{"info":"NaN⨻⩈⩔NaN=NaN","layer":1},{"info":"↹⩛-1004∽NaN=NaN","layer":0}]} +{"id":265,"expression_no_base_symbol":"(($2585$↓⨍⋜)⊋($7269$⋓$1017$))⇤(($1854$⊍⩺⋍$2881$)⪥(⇜$1593$))⫘(($5655$⪡$5549$∽$7041$∌$6183$)↼⊘⨖(⨈⫕$2581$⋣⋖$4571$))","expression":"((↹⩛15545↓⨍⋜)⊋(↹⩛53353⋓↹⩛4413))⇤((↹⩛12330⊍⩺⋍↹⩛21201)⪥(⇜↹⩛11213))⫘((↹⩛42103⪡↹⩛41405∽↹⩛52333∌↹⩛44343)↼⊘⨖(⨈⫕↹⩛15541⋣⋖↹⩛33055))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32242,"operation_count":14,"complexity_ratio":2303.0,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2585,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7269,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1854,"base":6},"right_expr":{"type":"numeric_atoms","value":2881,"base":6}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1593,"base":6}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5655,"base":6},"right_expr":{"type":"numeric_atoms","value":5549,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":7041,"base":6},"right_expr":{"type":"numeric_atoms","value":6183,"base":6}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2581,"base":6},"right_expr":{"type":"numeric_atoms","value":4571,"base":6}}}}},"used_operators":["48vC8HMD2b","YSKBFp38Pu","W4tP9CfskL","3DVzLFNsE9","T2fj7uvVaJ","QbnwKVWMIQ","OXDGMFPWZM","lFBm8KRb8F","bPywburJMS","y4ImoPnbV5","oraRL2iQuh","8cLx32lpNA","megm06wKyl","J0M6qkBnIM"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"↹⩛3325505541","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=7269","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=7269, right_input=1017, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":2},{"info":"number node, value=1854","layer":4},{"info":"number node, value=2881","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=2881, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1593","layer":4},{"info":"compute unary expreesion, input=1593, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-13152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13152, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=-5454, right_input=-116, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=30698","layer":1},{"info":"number node, value=5655","layer":4},{"info":"number node, value=5549","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=5549, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=7041","layer":4},{"info":"number node, value=6183","layer":4},{"info":"compute binary expreesion, left_input=7041, right_input=6183, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6183","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-6183, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=18192","layer":2},{"info":"number node, value=2581","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=4571, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2581","layer":3},{"info":"compute unary expreesion, input=2581, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=18192, right_input=-21, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-264","layer":1},{"info":"compute binary expreesion, left_input=30698, right_input=-264, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=36105253","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15545↓⨍⋜)⊋(↹⩛53353⋓↹⩛4413))⇤((↹⩛12330⊍⩺⋍↹⩛21201)⪥(⇜↹⩛11213))⫘((↹⩛42103⪡↹⩛41405∽↹⩛52333∌↹⩛44343)↼⊘⨖(⨈⫕↹⩛15541⋣⋖↹⩛33055))=↹⩛3325505541","reverse_text":"↹⩛3325505541=((↹⩛15545↓⨍⋜)⊋(↹⩛53353⋓↹⩛4413))⇤((↹⩛12330⊍⩺⋍↹⩛21201)⪥(⇜↹⩛11213))⫘((↹⩛42103⪡↹⩛41405∽↹⩛52333∌↹⩛44343)↼⊘⨖(⨈⫕↹⩛15541⋣⋖↹⩛33055))","cot":[{"info":"↹⩛15545↓⨍⋜=↹⩛50302","layer":3},{"info":"↹⩛53353⋓↹⩛4413=↹⩛0","layer":3},{"info":"↹⩛50302⊋↹⩛0=↹⩛-41130","layer":2},{"info":"↹⩛12330⊍⩺⋍↹⩛21201=NaN","layer":3},{"info":"⇜↹⩛11213=↹⩛-140520","layer":3},{"info":"NaN⪥↹⩛-140520=↹⩛-312","layer":2},{"info":"↹⩛-41130⇤↹⩛-312=↹⩛354042","layer":1},{"info":"↹⩛42103⪡↹⩛41405=↹⩛255","layer":3},{"info":"↹⩛52333∌↹⩛44343=↹⩛-44343","layer":3},{"info":"↹⩛255∽↹⩛-44343=↹⩛220120","layer":2},{"info":"↹⩛15541⋣⋖↹⩛33055=↹⩛15541","layer":3},{"info":"⨈⫕↹⩛15541=↹⩛-33","layer":2},{"info":"↹⩛220120↼⊘⨖↹⩛-33=↹⩛-1120","layer":1},{"info":"↹⩛354042⫘↹⩛-1120=↹⩛3325505541","layer":0}]} +{"id":266,"expression_no_base_symbol":"($1230$⊱⇼⊻$1791$)⪟⇏($3118$⪘⫢$3095$)∇⊂⋱($1689$↬$1972$⫸⊐$6058$↡⊰⫅$2351$)⪪((⩒∊($1127$⫥∨⫟$1831$))⋾⨃∁($3452$⇴$2387$∑⇟⊟($2619$≃$7180$)))","expression":"(↹⩛5410⊱⇼⊻↹⩛12143)⪟⇏(↹⩛22234⪘⫢↹⩛22155)∇⊂⋱(↹⩛11453↬↹⩛13044⫸⊐↹⩛44014↡⊰⫅↹⩛14515)⪪((⩒∊(↹⩛5115⫥∨⫟↹⩛12251))⋾⨃∁(↹⩛23552⇴↹⩛15015∑⇟⊟(↹⩛20043≃↹⩛53124)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33279,"operation_count":14,"complexity_ratio":2377.0714285714284,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":1791,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3118,"base":6},"right_expr":{"type":"numeric_atoms","value":3095,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1689,"base":6},"right_expr":{"type":"numeric_atoms","value":1972,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6058,"base":6},"right_expr":{"type":"numeric_atoms","value":2351,"base":6}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1127,"base":6},"right_expr":{"type":"numeric_atoms","value":1831,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3452,"base":6},"right_expr":{"type":"numeric_atoms","value":2387,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2619,"base":6},"right_expr":{"type":"numeric_atoms","value":7180,"base":6}}}}},"used_operators":["xD69zh8xqp","nhYeJWJD5X","GODebY97qR","FyVja0WsTP","oacrs7FA3X","mqXw5SEYmG","B5M0gjZbta","VCtxkLNOzz","212REbPD9h","qazvmhNBbN","KYD54nUTWz","U7g4x0WXJJ","4JB6nKBMSY","YbVcJGFEVW"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1230","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1791, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3118","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=3095, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6112","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=6112, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1972, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6058","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=2351, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4702, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1831, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":2},{"info":"number node, value=3452","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=2387, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25100","layer":3},{"info":"number node, value=2619","layer":4},{"info":"number node, value=7180","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=7180, 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=-10516","layer":3},{"info":"compute binary expreesion, left_input=25100, right_input=-10516, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5410⊱⇼⊻↹⩛12143)⪟⇏(↹⩛22234⪘⫢↹⩛22155)∇⊂⋱(↹⩛11453↬↹⩛13044⫸⊐↹⩛44014↡⊰⫅↹⩛14515)⪪((⩒∊(↹⩛5115⫥∨⫟↹⩛12251))⋾⨃∁(↹⩛23552⇴↹⩛15015∑⇟⊟(↹⩛20043≃↹⩛53124)))=NaN","reverse_text":"NaN=(↹⩛5410⊱⇼⊻↹⩛12143)⪟⇏(↹⩛22234⪘⫢↹⩛22155)∇⊂⋱(↹⩛11453↬↹⩛13044⫸⊐↹⩛44014↡⊰⫅↹⩛14515)⪪((⩒∊(↹⩛5115⫥∨⫟↹⩛12251))⋾⨃∁(↹⩛23552⇴↹⩛15015∑⇟⊟(↹⩛20043≃↹⩛53124)))","cot":[{"info":"↹⩛5410⊱⇼⊻↹⩛12143=↹⩛2002","layer":3},{"info":"↹⩛22234⪘⫢↹⩛22155=↹⩛44144","layer":3},{"info":"↹⩛2002⪟⇏↹⩛44144=↹⩛-1","layer":2},{"info":"↹⩛11453↬↹⩛13044=NaN","layer":3},{"info":"↹⩛44014↡⊰⫅↹⩛14515=↹⩛33434","layer":3},{"info":"NaN⫸⊐↹⩛33434=NaN","layer":2},{"info":"↹⩛-1∇⊂⋱NaN=NaN","layer":1},{"info":"↹⩛5115⫥∨⫟↹⩛12251=NaN","layer":3},{"info":"⩒∊NaN=NaN","layer":2},{"info":"↹⩛23552⇴↹⩛15015=↹⩛312112","layer":3},{"info":"↹⩛20043≃↹⩛53124=↹⩛-120404","layer":3},{"info":"↹⩛312112∑⇟⊟↹⩛-120404=NaN","layer":2},{"info":"NaN⋾⨃∁NaN=NaN","layer":1},{"info":"NaN⪪NaN=NaN","layer":0}]} +{"id":267,"expression_no_base_symbol":"(($2467$⪨≂$1376$)≃($1098$⪗))≠≀(⩷⨜⫀$7295$)⨸($3464$⊋$1794$)⊾⪯⋞($2632$⨼⩣$8323$⇮⋭($1049$⨲∙))≧⫂∧(⊢≑≆(⨈⫕$2647$))","expression":"((↹⩛15231⪨≂↹⩛10212)≃(↹⩛5030⪗))≠≀(⩷⨜⫀↹⩛53435)⨸(↹⩛24012⊋↹⩛12150)⊾⪯⋞(↹⩛20104⨼⩣↹⩛102311⇮⋭(↹⩛4505⨲∙))≧⫂∧(⊢≑≆(⨈⫕↹⩛20131))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13045,"operation_count":14,"complexity_ratio":931.7857142857143,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2467,"base":6},"right_expr":{"type":"numeric_atoms","value":1376,"base":6}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1098,"base":6}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":7295,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3464,"base":6},"right_expr":{"type":"numeric_atoms","value":1794,"base":6}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2632,"base":6},"right_expr":{"type":"numeric_atoms","value":8323,"base":6}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1049,"base":6}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2647,"base":6}}}}},"used_operators":["HK0tfVPux8","IwW236VD4Y","YbVcJGFEVW","sdazOOVcIp","VEQNXA0ZBg","KmoU8R5UQR","CDi0ktkjQ4","W4tP9CfskL","Ph9nP6C5qx","vkpjKywKVM","JxwMv5le6e","cRahaglYVE","27wFxooxGf","megm06wKyl"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","ruOEQAzv1W","nhYeJWJD5X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"↹⩛-3444","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2467","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1376, 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=2284","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2284, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"number node, value=7295","layer":4},{"info":"compute unary expreesion, input=7295, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7022","layer":3},{"info":"number node, value=3464","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=1794, 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=23426972","layer":3},{"info":"compute binary expreesion, left_input=-7022, right_input=23426972, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=69, right_input=inf, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=168","layer":1},{"info":"number node, value=2632","layer":4},{"info":"number node, value=8323","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=8323, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=12382514","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12382514, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=235","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=235, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-238","layer":1},{"info":"compute binary expreesion, left_input=168, right_input=-238, 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":6,"result_base":6,"text":"((↹⩛15231⪨≂↹⩛10212)≃(↹⩛5030⪗))≠≀(⩷⨜⫀↹⩛53435)⨸(↹⩛24012⊋↹⩛12150)⊾⪯⋞(↹⩛20104⨼⩣↹⩛102311⇮⋭(↹⩛4505⨲∙))≧⫂∧(⊢≑≆(⨈⫕↹⩛20131))=↹⩛-3444","reverse_text":"↹⩛-3444=((↹⩛15231⪨≂↹⩛10212)≃(↹⩛5030⪗))≠≀(⩷⨜⫀↹⩛53435)⨸(↹⩛24012⊋↹⩛12150)⊾⪯⋞(↹⩛20104⨼⩣↹⩛102311⇮⋭(↹⩛4505⨲∙))≧⫂∧(⊢≑≆(⨈⫕↹⩛20131))","cot":[{"info":"↹⩛15231⪨≂↹⩛10212=↹⩛14324","layer":3},{"info":"↹⩛5030⪗=NaN","layer":3},{"info":"↹⩛14324≃NaN=↹⩛153","layer":2},{"info":"⩷⨜⫀↹⩛53435=↹⩛-52302","layer":3},{"info":"↹⩛24012⊋↹⩛12150=↹⩛2154042112","layer":3},{"info":"↹⩛-52302⨸↹⩛2154042112=Inf","layer":2},{"info":"↹⩛153≠≀Inf=↹⩛440","layer":1},{"info":"↹⩛20104⨼⩣↹⩛102311=NaN","layer":3},{"info":"↹⩛4505⨲∙=↹⩛1121222242","layer":3},{"info":"NaN⇮⋭↹⩛1121222242=↹⩛151","layer":2},{"info":"⨈⫕↹⩛20131=↹⩛-33","layer":3},{"info":"⊢≑≆↹⩛-33=↹⩛1031","layer":2},{"info":"↹⩛151≧⫂∧↹⩛1031=↹⩛-1034","layer":1},{"info":"↹⩛440⊾⪯⋞↹⩛-1034=↹⩛-3444","layer":0}]} +{"id":268,"expression_no_base_symbol":"⊄⩳↩(($3331$⋻⩜⩜$1156$)⨐⩸⫘($8473$∖$6548$))⪮%⊝($1709$≃$1638$⫲)","expression":"⊄⩳↩((↹⩛23231⋻⩜⩜↹⩛5204)⨐⩸⫘(↹⩛103121∖↹⩛50152))⪮%⊝(↹⩛11525≃↹⩛11330⫲)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16932,"operation_count":7,"complexity_ratio":2418.8571428571427,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3331,"base":6},"right_expr":{"type":"numeric_atoms","value":1156,"base":6}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":8473,"base":6},"right_expr":{"type":"numeric_atoms","value":6548,"base":6}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1709,"base":6},"right_expr":{"type":"numeric_atoms","value":1638,"base":6}}}}},"used_operators":["8w2t5hMYqp","IWmyXbctLI","fu6greOZ01","oDCm7WA9JY","tXD093vOjl","9xnGDUPbC6","YbVcJGFEVW"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-513240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3331","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=3331, right_input=1156, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6662","layer":3},{"info":"number node, value=8473","layer":4},{"info":"number node, value=6548","layer":4},{"info":"compute binary expreesion, left_input=8473, right_input=6548, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6662, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=6662","layer":2},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1638, 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=-6876","layer":3},{"info":"compute unary expreesion, input=-6876, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=13631","layer":2},{"info":"compute binary expreesion, left_input=6662, right_input=13631, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13640","layer":1},{"info":"compute unary expreesion, input=13640, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-40920","layer":0}],"base":6,"result_base":6,"text":"⊄⩳↩((↹⩛23231⋻⩜⩜↹⩛5204)⨐⩸⫘(↹⩛103121∖↹⩛50152))⪮%⊝(↹⩛11525≃↹⩛11330⫲)=↹⩛-513240","reverse_text":"↹⩛-513240=⊄⩳↩((↹⩛23231⋻⩜⩜↹⩛5204)⨐⩸⫘(↹⩛103121∖↹⩛50152))⪮%⊝(↹⩛11525≃↹⩛11330⫲)","cot":[{"info":"↹⩛23231⋻⩜⩜↹⩛5204=↹⩛50502","layer":3},{"info":"↹⩛103121∖↹⩛50152=↹⩛0","layer":3},{"info":"↹⩛50502⨐⩸⫘↹⩛0=↹⩛50502","layer":2},{"info":"↹⩛11525≃↹⩛11330=↹⩛-51500","layer":3},{"info":"↹⩛-51500⫲=↹⩛143035","layer":2},{"info":"↹⩛50502⪮%⊝↹⩛143035=↹⩛143052","layer":1},{"info":"⊄⩳↩↹⩛143052=↹⩛-513240","layer":0}]} +{"id":269,"expression_no_base_symbol":"(⪓⩚((⊁⨺$2547$)⩺⋐⫨))⨳⩥⨓(⪝⪂⫅($3849$⫢⨠$3539$))∝(⋃$3872$)⊕∕($1616$↸$1167$)","expression":"(⪓⩚((⊁⨺↹⩛15443)⩺⋐⫨))⨳⩥⨓(⪝⪂⫅(↹⩛25453⫢⨠↹⩛24215))∝(⋃↹⩛25532)⊕∕(↹⩛11252↸↹⩛5223)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5011,"operation_count":10,"complexity_ratio":501.1,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2547,"base":6}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3849,"base":6},"right_expr":{"type":"numeric_atoms","value":3539,"base":6}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3872,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1616,"base":6},"right_expr":{"type":"numeric_atoms","value":1167,"base":6}}}}},"used_operators":["nCS4ZIUYfx","u0R0Locfp2","yS9ePUuUdn","PxiHyQbrIp","cTDWOvIxvz","XTarYq4gQB","xlXykHWxX1","9cloC0Ngie","3mBM5G4a3l","1eCjFl0mb9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","g55IO6H4Gj","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"↹⩛-302501","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=3849","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=3539, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-23520","layer":2},{"info":"number node, value=3872","layer":4},{"info":"compute unary expreesion, input=3872, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=7846","layer":3},{"info":"number node, value=1616","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=1167, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1616","layer":3},{"info":"compute binary expreesion, left_input=7846, right_input=1616, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7846","layer":2},{"info":"compute binary expreesion, left_input=-23520, right_input=7846, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-23515","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=-23515, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-23941","layer":0}],"base":6,"result_base":6,"text":"(⪓⩚((⊁⨺↹⩛15443)⩺⋐⫨))⨳⩥⨓(⪝⪂⫅(↹⩛25453⫢⨠↹⩛24215))∝(⋃↹⩛25532)⊕∕(↹⩛11252↸↹⩛5223)=↹⩛-302501","reverse_text":"↹⩛-302501=(⪓⩚((⊁⨺↹⩛15443)⩺⋐⫨))⨳⩥⨓(⪝⪂⫅(↹⩛25453⫢⨠↹⩛24215))∝(⋃↹⩛25532)⊕∕(↹⩛11252↸↹⩛5223)","cot":[{"info":"⊁⨺↹⩛15443=↹⩛424","layer":3},{"info":"↹⩛424⩺⋐⫨=↹⩛0","layer":2},{"info":"⪓⩚↹⩛0=↹⩛1550","layer":1},{"info":"↹⩛25453⫢⨠↹⩛24215=↹⩛424","layer":3},{"info":"⪝⪂⫅↹⩛424=↹⩛-300520","layer":2},{"info":"⋃↹⩛25532=↹⩛100154","layer":3},{"info":"↹⩛11252↸↹⩛5223=↹⩛11252","layer":3},{"info":"↹⩛100154⊕∕↹⩛11252=↹⩛100154","layer":2},{"info":"↹⩛-300520∝↹⩛100154=↹⩛-300511","layer":1},{"info":"↹⩛1550⨳⩥⨓↹⩛-300511=↹⩛-302501","layer":0}]} +{"id":270,"expression_no_base_symbol":"(⪁⇼($4062$⨽$4339$)⨸(⇜⊴$1190$))⪶≀⋏(⋂($1038$⋥⋵⩄$3817$)↤⩊($1759$∌↝$2519$))","expression":"(⪁⇼(↹⩛30450⨽↹⩛32031)⨸(⇜⊴↹⩛5302))⪶≀⋏(⋂(↹⩛4450⋥⋵⩄↹⩛25401)↤⩊(↹⩛12051∌↝↹⩛15355))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4509,"operation_count":9,"complexity_ratio":501.0,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4062,"base":6},"right_expr":{"type":"numeric_atoms","value":4339,"base":6}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1190,"base":6}}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1038,"base":6},"right_expr":{"type":"numeric_atoms","value":3817,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1759,"base":6},"right_expr":{"type":"numeric_atoms","value":2519,"base":6}}}}},"used_operators":["zR4jO40bMj","ZNVVrZ94lY","KmoU8R5UQR","8HhzD0ZcuI","XwDhCwWbUn","BUOGQAYlQx","13rbtpv6ld","7t3wd0Fuz7","9Isq31Ruls"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4062","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=4062, right_input=4339, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-49511235","layer":3},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, 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=-267126","layer":3},{"info":"compute binary expreesion, left_input=-49511235, right_input=-267126, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":1},{"info":"number node, value=1038","layer":4},{"info":"number node, value=3817","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=3817, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=2519, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪁⇼(↹⩛30450⨽↹⩛32031)⨸(⇜⊴↹⩛5302))⪶≀⋏(⋂(↹⩛4450⋥⋵⩄↹⩛25401)↤⩊(↹⩛12051∌↝↹⩛15355))=NaN","reverse_text":"NaN=(⪁⇼(↹⩛30450⨽↹⩛32031)⨸(⇜⊴↹⩛5302))⪶≀⋏(⋂(↹⩛4450⋥⋵⩄↹⩛25401)↤⩊(↹⩛12051∌↝↹⩛15355))","cot":[{"info":"↹⩛30450⨽↹⩛32031=↹⩛-4525110403","layer":3},{"info":"⇜⊴↹⩛5302=↹⩛-5420410","layer":3},{"info":"↹⩛-4525110403⨸↹⩛-5420410=NaN","layer":2},{"info":"⪁⇼NaN=NaN","layer":1},{"info":"↹⩛4450⋥⋵⩄↹⩛25401=↹⩛305","layer":3},{"info":"↹⩛12051∌↝↹⩛15355=↹⩛0","layer":3},{"info":"↹⩛305↤⩊↹⩛0=NaN","layer":2},{"info":"⋂NaN=NaN","layer":1},{"info":"NaN⪶≀⋏NaN=NaN","layer":0}]} +{"id":271,"expression_no_base_symbol":"($7722$⨑⩅≇$1118$⨻⩈⩔$3166$≹⇙⪍$4896$∖(⋗⩬⋾($1694$⊴⇁⪶)))⨰((($1846$↠)%($3025$∪⫐$2845$))⇮⋭(≔($6737$-$6126$)))","expression":"(↹⩛55430⨑⩅≇↹⩛5102⨻⩈⩔↹⩛22354≹⇙⪍↹⩛34400∖(⋗⩬⋾(↹⩛11502⊴⇁⪶)))⨰(((↹⩛12314↠)%(↹⩛22001∪⫐↹⩛21101))⇮⋭(≔(↹⩛51105-↹⩛44210)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3391,"operation_count":13,"complexity_ratio":260.84615384615387,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7722,"base":6},"right_expr":{"type":"numeric_atoms","value":1118,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3166,"base":6},"right_expr":{"type":"numeric_atoms","value":4896,"base":6}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1694,"base":6}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1846,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3025,"base":6},"right_expr":{"type":"numeric_atoms","value":2845,"base":6}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6737,"base":6},"right_expr":{"type":"numeric_atoms","value":6126,"base":6}}}}},"used_operators":["eewbuw0ToL","tXD093vOjl","nEsXyWgiOK","h92wMvzauj","AHs5Up7iyr","DpFCA1CohY","oo9mF6JIpo","vkpjKywKVM","k8jYdgA6NY","LBdsKIvxzf","7YooWSwCyH","8FLs4eVsLt","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rJVOvQCfKK","2DDjHMKMc0","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"↹⩛-133","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7722","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=7722, right_input=1118, 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=-23166","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=4896","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=4896, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-23166, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))��((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=1694","layer":4},{"info":"compute unary expreesion, input=1694, 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=29590","layer":3},{"info":"compute unary expreesion, input=29590, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-88770","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-88770, 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=1846","layer":4},{"info":"compute unary expreesion, input=1846, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=3025","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=2845, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3025","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3025, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2578","layer":2},{"info":"number node, value=6737","layer":4},{"info":"number node, value=6126","layer":4},{"info":"compute binary expreesion, left_input=6737, right_input=6126, op_id = rysDP5nf3Z binary_op_definition= 'None', output=611","layer":3},{"info":"compute unary expreesion, input=611, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-15814","layer":2},{"info":"compute binary expreesion, left_input=2578, right_input=-15814, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-57","layer":0}],"base":6,"result_base":6,"text":"(↹⩛55430⨑⩅≇↹⩛5102⨻⩈⩔↹⩛22354≹⇙⪍↹⩛34400∖(⋗⩬⋾(↹⩛11502⊴⇁⪶)))⨰(((↹⩛12314↠)%(↹⩛22001∪⫐↹⩛21101))⇮⋭(≔(↹⩛51105-↹⩛44210)))=↹⩛-133","reverse_text":"↹⩛-133=(↹⩛55430⨑⩅≇↹⩛5102⨻⩈⩔↹⩛22354≹⇙⪍↹⩛34400∖(⋗⩬⋾(↹⩛11502⊴⇁⪶)))⨰(((↹⩛12314↠)%(↹⩛22001∪⫐↹⩛21101))⇮⋭(≔(↹⩛51105-↹⩛44210)))","cot":[{"info":"↹⩛55430⨑⩅≇↹⩛5102=↹⩛-255130","layer":3},{"info":"↹⩛22354≹⇙⪍↹⩛34400=NaN","layer":3},{"info":"↹⩛-255130⨻⩈⩔NaN=NaN","layer":2},{"info":"↹⩛11502⊴⇁⪶=↹⩛344554","layer":3},{"info":"⋗⩬⋾↹⩛344554=↹⩛-1522550","layer":2},{"info":"NaN∖↹⩛-1522550=↹⩛0","layer":1},{"info":"↹⩛12314↠=↹⩛-2023","layer":3},{"info":"↹⩛22001∪⫐↹⩛21101=↹⩛22001","layer":3},{"info":"↹⩛-2023%↹⩛22001=↹⩛15534","layer":2},{"info":"↹⩛51105-↹⩛44210=↹⩛2455","layer":3},{"info":"≔↹⩛2455=↹⩛-201114","layer":2},{"info":"↹⩛15534⇮⋭↹⩛-201114=↹⩛151","layer":1},{"info":"↹⩛0⨰↹⩛151=↹⩛-133","layer":0}]} +{"id":272,"expression_no_base_symbol":"(($3944$⫉⨲⊜$1711$)⩦(⊤⊝$1337$)⊋≦⊧($4299$∲⫓$2101$)⊴(⊽$5938$))⫲≸⪮(⊁⨺($2272$⩌⋺$3189$))⨿(($3221$-$1582$)⩧⪆(⊀$1262$))","expression":"((↹⩛30132⫉⨲⊜↹⩛11531)⩦(⊤⊝↹⩛10105)⊋≦⊧(↹⩛31523∲⫓↹⩛13421)⊴(⊽↹⩛43254))⫲≸⪮(⊁⨺(↹⩛14304⩌⋺↹⩛22433))⨿((↹⩛22525-↹⩛11154)⩧⪆(⊀↹⩛5502))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":128983,"operation_count":14,"complexity_ratio":9213.07142857143,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3944,"base":6},"right_expr":{"type":"numeric_atoms","value":1711,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1337,"base":6}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4299,"base":6},"right_expr":{"type":"numeric_atoms","value":2101,"base":6}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":5938,"base":6}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2272,"base":6},"right_expr":{"type":"numeric_atoms","value":3189,"base":6}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3221,"base":6},"right_expr":{"type":"numeric_atoms","value":1582,"base":6}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1262,"base":6}}}}},"used_operators":["P3lXMJvFrc","oRDoc9rAEX","0kmYd0q39Y","WhqkvtTD3t","rXAclfmB4M","Nsiff2A1zJ","i8ToyICDmI","QxG7OkqoLX","abYXlopdE0","PxiHyQbrIp","g7Hmc5v1ko","Ikt5ks8PT7","rysDP5nf3Z","oPMjh9089D"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3944","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=1711, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1376","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1376, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"number node, value=4299","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=4299, right_input=2101, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5938","layer":4},{"info":"compute unary expreesion, input=5938, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=13398","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13398, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"number node, value=2272","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=3189, 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=-5582","layer":3},{"info":"compute unary expreesion, input=-5582, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-38291","layer":2},{"info":"number node, value=3221","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=1582, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1639","layer":3},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4786","layer":3},{"info":"compute binary expreesion, left_input=1639, right_input=4786, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4786","layer":2},{"info":"compute binary expreesion, left_input=-38291, right_input=-4786, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=67, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=192","layer":0}],"base":6,"result_base":6,"text":"((↹⩛30132⫉⨲⊜↹⩛11531)⩦(⊤⊝↹⩛10105)⊋≦⊧(↹⩛31523∲⫓↹⩛13421)⊴(⊽↹⩛43254))⫲≸⪮(⊁⨺(↹��14304⩌⋺↹⩛22433))⨿((↹⩛22525-↹⩛11154)⩧⪆(⊀↹⩛5502))=↹⩛520","reverse_text":"↹⩛520=((↹⩛30132⫉⨲⊜↹⩛11531)⩦(⊤⊝↹⩛10105)⊋≦⊧(↹⩛31523∲⫓↹⩛13421)⊴(⊽↹⩛43254))⫲≸⪮(⊁⨺(↹⩛14304⩌⋺↹⩛22433))⨿((↹⩛22525-↹⩛11154)⩧⪆(⊀↹⩛5502))","cot":[{"info":"↹⩛30132⫉⨲⊜↹⩛11531=↹⩛0","layer":3},{"info":"⊤⊝↹⩛10105=↹⩛10212","layer":3},{"info":"↹⩛0⩦↹⩛10212=↹⩛0","layer":2},{"info":"↹⩛31523∲⫓↹⩛13421=↹⩛0","layer":3},{"info":"⊽↹⩛43254=↹⩛142010","layer":3},{"info":"↹⩛0⊴↹⩛142010=NaN","layer":2},{"info":"↹⩛0⊋≦⊧NaN=↹⩛520","layer":1},{"info":"↹⩛14304⩌⋺↹⩛22433=↹⩛-41502","layer":3},{"info":"⊁⨺↹⩛-41502=↹⩛-453135","layer":2},{"info":"↹⩛22525-↹⩛11154=↹⩛11331","layer":3},{"info":"⊀↹⩛5502=↹⩛34054","layer":3},{"info":"↹⩛11331⩧⪆↹⩛34054=↹⩛-34054","layer":2},{"info":"↹⩛-453135⨿↹⩛-34054=↹⩛151","layer":1},{"info":"↹⩛520⫲≸⪮↹⩛151=↹⩛520","layer":0}]} +{"id":273,"expression_no_base_symbol":"(⨵(⫵↿$3468$⪚$1700$))⨽∌((≉$4058$⇷$2074$)⨱∎)","expression":"(⨵(⫵↿↹⩛24020⪚↹⩛11512))⨽∌((≉↹⩛30442⇷↹⩛13334)⨱∎)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56971,"operation_count":7,"complexity_ratio":8138.714285714285,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3468,"base":6},"right_expr":{"type":"numeric_atoms","value":1700,"base":6}}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4058,"base":6},"right_expr":{"type":"numeric_atoms","value":2074,"base":6}}}}},"used_operators":["9samAPKr6k","Tl3Y52tvF8","ivGwdmUAux","HrjLwUk87U","MmTdOpaElr","e1ybzncUwg","mp7IySMOzn"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3468","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=1700, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3180","layer":3},{"info":"compute unary expreesion, input=3180, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute unary expreesion, input=137, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-329","layer":1},{"info":"number node, value=4058","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=2074, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4148","layer":3},{"info":"compute unary expreesion, input=4148, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4679","layer":2},{"info":"compute unary expreesion, input=4679, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-329, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨵(⫵↿↹⩛24020⪚↹⩛11512))⨽∌((≉↹⩛30442⇷↹⩛13334)⨱∎)=NaN","reverse_text":"NaN=(⨵(⫵↿↹⩛24020⪚↹⩛11512))⨽∌((≉↹⩛30442⇷↹⩛13334)⨱∎)","cot":[{"info":"↹⩛24020⪚↹⩛11512=↹⩛22420","layer":3},{"info":"⫵↿↹⩛22420=↹⩛345","layer":2},{"info":"⨵↹⩛345=↹⩛-1305","layer":1},{"info":"↹⩛30442⇷↹⩛13334=↹⩛31112","layer":3},{"info":"≉↹⩛31112=↹⩛33355","layer":2},{"info":"↹⩛33355⨱∎=↹⩛0","layer":1},{"info":"↹⩛-1305⨽∌↹⩛0=NaN","layer":0}]} +{"id":274,"expression_no_base_symbol":"(+⊝⨔($1864$∲⫓$1352$))⫘($3388$⋾⨃∁$1451$⊹≧⊝)↼⊘⨖(((⫵↿$1408$)⫲≸⪮(≇⪴$4425$))⊫∞)","expression":"(+⊝⨔(↹⩛12344∲⫓↹⩛10132))⫘(↹⩛23404⋾⨃∁↹⩛10415⊹≧⊝)↼⊘⨖(((⫵↿↹⩛10304)⫲≸⪮(≇⪴↹⩛32253))⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26577,"operation_count":10,"complexity_ratio":2657.7,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1864,"base":6},"right_expr":{"type":"numeric_atoms","value":1352,"base":6}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3388,"base":6},"right_expr":{"type":"numeric_atoms","value":1451,"base":6}}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1408,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4425,"base":6}}}}},"used_operators":["bPywburJMS","48vC8HMD2b","DhbWaqg5eL","i8ToyICDmI","LxFB4K6j0n","212REbPD9h","pABnYW3G3E","P3lXMJvFrc","ivGwdmUAux","zoVPnxeHJ3"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"↹⩛-1010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1864","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1352, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=3388","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=1451, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=21036504","layer":3},{"info":"compute unary expreesion, input=21036504, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-84146016","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-84146016, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1794277","layer":1},{"info":"number node, value=1408","layer":4},{"info":"compute unary expreesion, input=1408, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=4425","layer":4},{"info":"compute unary expreesion, input=4425, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11935","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-11935, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=137","layer":2},{"info":"compute unary expreesion, input=137, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1794277, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":0}],"base":6,"result_base":6,"text":"(+⊝⨔(↹⩛12344∲⫓↹⩛10132))⫘(↹⩛23404⋾⨃∁↹⩛10415⊹≧⊝)↼⊘⨖(((⫵↿↹⩛10304)⫲≸⪮(≇⪴↹⩛32253))⊫∞)=↹⩛-1010","reverse_text":"↹⩛-1010=(+⊝⨔(↹⩛12344∲⫓↹⩛10132))⫘(↹⩛23404⋾⨃∁↹⩛10415⊹≧⊝)↼⊘⨖(((⫵↿↹⩛10304)⫲≸⪮(≇⪴↹⩛32253))⊫∞)","cot":[{"info":"↹⩛12344∲⫓↹⩛10132=↹⩛0","layer":3},{"info":"+⊝⨔↹⩛0=↹⩛11014","layer":2},{"info":"↹⩛23404⋾⨃∁↹⩛10415=↹⩛2030515120","layer":3},{"info":"↹⩛2030515120⊹≧⊝=↹⩛-12203312520","layer":2},{"info":"��⩛11014⫘↹⩛-12203312520=↹⩛102242501","layer":1},{"info":"⫵↿↹⩛10304=↹⩛345","layer":3},{"info":"≇⪴↹⩛32253=↹⩛-131131","layer":3},{"info":"↹⩛345⫲≸⪮↹⩛-131131=↹⩛345","layer":2},{"info":"↹⩛345⊫∞=↹⩛0","layer":1},{"info":"↹⩛102242501↼⊘⨖↹⩛0=↹⩛-1010","layer":0}]} +{"id":275,"expression_no_base_symbol":"((⨰⫟⨤$1365$)⪑⩈)⋾⨃∁(⇉-⫰$7016$≎⪠$1576$)⪃↞⩐","expression":"((⨰⫟⨤↹⩛10153)⪑⩈)⋾⨃∁(⇉-⫰↹⩛52252≎⪠↹⩛11144)⪃↞⩐","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24511,"operation_count":6,"complexity_ratio":4085.1666666666665,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1365,"base":6}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":7016,"base":6},"right_expr":{"type":"numeric_atoms","value":1576,"base":6}}}}},"used_operators":["grXIztHqDa","212REbPD9h","C6VvDP6HwP","Tw270M8GLb","IGFM8TAlm9","aNhz54LH3e"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eH2TOUuTDT","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"↹⩛251130","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=7016","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=7016, right_input=1576, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=3666","layer":1},{"info":"compute unary expreesion, input=3666, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=22302","layer":0}],"base":6,"result_base":6,"text":"((⨰⫟⨤↹⩛10153)⪑⩈)⋾⨃∁(⇉-⫰↹⩛52252≎⪠↹⩛11144)⪃↞⩐=↹⩛251130","reverse_text":"↹⩛251130=((⨰⫟⨤↹⩛10153)⪑⩈)⋾⨃∁(⇉-⫰↹⩛52252≎⪠↹⩛11144)⪃↞⩐","cot":[{"info":"⨰⫟⨤↹⩛10153=NaN","layer":3},{"info":"NaN⪑⩈=NaN","layer":2},{"info":"↹⩛52252≎⪠↹⩛11144=↹⩛230314","layer":3},{"info":"⇉-⫰↹⩛230314=↹⩛32","layer":2},{"info":"NaN⋾⨃∁↹⩛32=↹⩛24550","layer":1},{"info":"↹⩛24550⪃↞⩐=↹⩛251130","layer":0}]} +{"id":276,"expression_no_base_symbol":"(((↩⪖$2962$)⋐⇩⊬)⨻⩈⩔($2277$∪⫐$1303$)≨($3115$∣$1070$))∺≝⩲((($1978$⇞)⋖∅⋲)⩒⫫($2073$⫸⊐$2459$)⊉↱≁($3685$⋷$1147$))","expression":"(((↩⪖↹⩛21414)⋐⇩⊬)⨻⩈⩔(↹⩛14313∪⫐↹⩛10011)≨(↹⩛22231∣↹⩛4542))∺≝⩲(((↹⩛13054⇞)⋖∅⋲)⩒⫫(↹⩛13333⫸⊐↹⩛15215)⊉↱≁(↹⩛25021⋷↹⩛5151))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":462,"operation_count":13,"complexity_ratio":35.53846153846154,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2962,"base":6}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2277,"base":6},"right_expr":{"type":"numeric_atoms","value":1303,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3115,"base":6},"right_expr":{"type":"numeric_atoms","value":1070,"base":6}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1978,"base":6}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2073,"base":6},"right_expr":{"type":"numeric_atoms","value":2459,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3685,"base":6},"right_expr":{"type":"numeric_atoms","value":1147,"base":6}}}}},"used_operators":["KPf6cnQVty","nEsXyWgiOK","JuuLT1NoCs","fG6uBQFnGz","0KMCeP1Jsh","7YooWSwCyH","PPChnnnBFF","KFSx94NKJn","L95AwlJzhO","5JYyxRJd4f","w2P8NbNXyL","mqXw5SEYmG","23Mk6UjR3U"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-20754","layer":3},{"info":"compute unary expreesion, input=-20754, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-41387","layer":2},{"info":"number node, value=2277","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=1303, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2277","layer":3},{"info":"number node, value=3115","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=1070, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3115","layer":3},{"info":"compute binary expreesion, left_input=2277, right_input=3115, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-20294","layer":2},{"info":"compute binary expreesion, left_input=-41387, right_input=-20294, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=1978","layer":4},{"info":"compute unary expreesion, input=1978, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=7825","layer":3},{"info":"compute unary expreesion, input=7825, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":2},{"info":"number node, value=2073","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=2459, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9711","layer":3},{"info":"number node, value=3685","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=1147, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1391","layer":3},{"info":"compute binary expreesion, left_input=9711, right_input=-1391, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=105404","layer":2},{"info":"compute binary expreesion, left_input=-384231, right_input=105404, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(((↩⪖↹⩛21414)⋐⇩⊬)⨻⩈⩔(↹⩛14313∪⫐↹⩛10011)≨(↹⩛22231∣↹⩛4542))∺≝⩲(((↹⩛13054⇞)⋖∅⋲)⩒⫫(↹⩛13333⫸⊐↹⩛15215)⊉↱≁(↹⩛25021⋷↹⩛5151))=↹⩛424","reverse_text":"↹⩛424=(((↩⪖↹⩛21414)⋐⇩⊬)⨻⩈⩔(↹⩛14313∪⫐↹⩛10011)≨(↹⩛22231∣↹⩛4542))∺≝⩲(((↹⩛13054⇞)⋖∅⋲)⩒⫫(↹⩛13333⫸⊐↹⩛15215)⊉↱≁(↹⩛25021⋷↹⩛5151))","cot":[{"info":"↩⪖↹⩛21414=↹⩛-240030","layer":3},{"info":"↹⩛-240030⋐⇩⊬=↹⩛-515335","layer":2},{"info":"↹⩛14313∪⫐↹⩛10011=↹⩛14313","layer":3},{"info":"↹⩛22231∣↹⩛4542=↹⩛22231","layer":3},{"info":"↹⩛14313≨↹⩛22231=↹⩛-233542","layer":2},{"info":"↹⩛-515335⨻⩈⩔↹⩛-233542=↹⩛-450","layer":1},{"info":"↹⩛13054⇞=↹⩛100121","layer":3},{"info":"↹⩛100121⋖∅⋲=↹⩛-12122503","layer":2},{"info":"↹⩛13333⫸⊐↹⩛15215=↹⩛112543","layer":3},{"info":"↹⩛25021⋷↹⩛5151=↹⩛-10235","layer":3},{"info":"↹⩛112543⊉↱≁↹⩛-10235=↹⩛2131552","layer":2},{"info":"↹⩛-12122503⩒⫫↹⩛2131552=↹⩛424","layer":1},{"info":"↹⩛-450∺≝⩲↹⩛424=↹⩛424","layer":0}]} +{"id":277,"expression_no_base_symbol":"≛(≻⋜$2007$)⪒⊣⊆(⇋⊎⋝$3653$)⪨⊡($1570$∇⊂⋱$1551$⇄($3624$⪊≅))","expression":"≛(≻⋜↹⩛13143)⪒⊣⊆(⇋⊎⋝↹⩛24525)⪨⊡(↹⩛11134∇⊂⋱↹⩛11103⇄(↹⩛24440⪊≅))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12968,"operation_count":8,"complexity_ratio":1621.0,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2007,"base":6}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3653,"base":6}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1570,"base":6},"right_expr":{"type":"numeric_atoms","value":1551,"base":6}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3624,"base":6}}}}},"used_operators":["W7eaUhjymW","kuIXHzHcAH","eRqsBgTDFp","3tj9sqzovi","CzM2PEoXns","3EYGwJThht","nhYeJWJD5X","bjFbhXSADs"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","dWAJyo7jo9","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx"],"result":"↹⩛-14","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"compute unary expreesion, input=2007, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=3653","layer":4},{"info":"compute unary expreesion, input=3653, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=1570","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1551, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2594","layer":3},{"info":"number node, value=3624","layer":4},{"info":"compute unary expreesion, input=3624, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2594, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":1},{"info":"compute unary expreesion, input=789, 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":6,"result_base":6,"text":"≛(≻⋜↹⩛13143)⪒⊣⊆(⇋⊎⋝↹⩛24525)⪨⊡(↹⩛11134∇⊂⋱↹⩛11103⇄(↹⩛24440⪊≅))=↹⩛-14","reverse_text":"↹⩛-14=≛(≻⋜↹⩛13143)⪒⊣⊆(⇋⊎⋝↹⩛24525)⪨⊡(↹⩛11134∇⊂⋱↹⩛11103⇄(↹⩛24440⪊≅))","cot":[{"info":"≻⋜↹⩛13143=NaN","layer":3},{"info":"⇋⊎⋝↹⩛24525=NaN","layer":3},{"info":"NaN⪒⊣⊆NaN=NaN","layer":2},{"info":"↹⩛11134∇⊂⋱↹⩛11103=↹⩛20002","layer":3},{"info":"↹⩛24440⪊≅=↹⩛0","layer":3},{"info":"↹⩛20002⇄↹⩛0=↹⩛0","layer":2},{"info":"NaN⪨⊡↹⩛0=↹⩛3353","layer":1},{"info":"≛↹⩛3353=↹⩛-14","layer":0}]} +{"id":278,"expression_no_base_symbol":"((≉$1020$⊬⨰$1785$)⋘⨑⨽)⨿(((⫶⊄≣$7165$)⊔($3304$↡⊰⫅$3834$))⪮%⊝($5260$⊱⇼⊻$1954$⪭≯($1559$⫌⩉⩟$3462$)))","expression":"((≉↹⩛4420⊬⨰↹⩛12133)⋘⨑⨽)⨿(((⫶⊄≣↹⩛53101)⊔(↹⩛23144↡⊰⫅↹⩛25430))⪮%⊝(↹⩛40204⊱⇼⊻↹⩛13014⪭≯(↹⩛11115⫌⩉⩟↹⩛24010)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":82510,"operation_count":11,"complexity_ratio":7500.909090909091,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1020,"base":6},"right_expr":{"type":"numeric_atoms","value":1785,"base":6}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":7165,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3304,"base":6},"right_expr":{"type":"numeric_atoms","value":3834,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5260,"base":6},"right_expr":{"type":"numeric_atoms","value":1954,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1559,"base":6},"right_expr":{"type":"numeric_atoms","value":3462,"base":6}}}}},"used_operators":["abYXlopdE0","WmT3o8z6ya","e1ybzncUwg","s3Fd5m9Dh2","IWmyXbctLI","E4l6HwMY31","wxb3vTeyAj","VCtxkLNOzz","XAx5wpdLa6","FyVja0WsTP","XIIwhv8d0m"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"↹⩛-1251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1785, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7104","layer":3},{"info":"compute unary expreesion, input=7104, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7635","layer":2},{"info":"compute unary expreesion, input=7635, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=38958","layer":1},{"info":"number node, value=7165","layer":4},{"info":"compute unary expreesion, input=7165, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=924195709","layer":3},{"info":"number node, value=3304","layer":4},{"info":"number node, value=3834","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=3834, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7668","layer":3},{"info":"compute binary expreesion, left_input=924195709, right_input=7668, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=1848427358","layer":2},{"info":"number node, value=5260","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=1954, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3462, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-50, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢��a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1848427358, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=38958, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":6,"result_base":6,"text":"((≉↹⩛4420⊬⨰↹⩛12133)⋘⨑⨽)⨿(((⫶⊄≣↹⩛53101)⊔(↹⩛23144↡⊰⫅↹⩛25430))⪮%⊝(↹⩛40204⊱⇼⊻↹⩛13014⪭≯(↹⩛11115⫌⩉⩟↹⩛24010)))=↹⩛-1251","reverse_text":"↹⩛-1251=((≉↹⩛4420⊬⨰↹⩛12133)⋘⨑⨽)⨿(((⫶⊄≣↹⩛53101)⊔(↹⩛23144↡⊰⫅↹⩛25430))⪮%⊝(↹⩛40204⊱⇼⊻↹⩛13014⪭≯(↹⩛11115⫌⩉⩟↹⩛24010)))","cot":[{"info":"↹⩛4420⊬⨰↹⩛12133=↹⩛52520","layer":3},{"info":"≉↹⩛52520=↹⩛55203","layer":2},{"info":"↹⩛55203⋘⨑⨽=↹⩛500210","layer":1},{"info":"⫶⊄≣↹⩛53101=↹⩛231412415501","layer":3},{"info":"↹⩛23144↡⊰⫅↹⩛25430=↹⩛55300","layer":3},{"info":"↹⩛231412415501⊔↹⩛55300=↹⩛503230114022","layer":2},{"info":"↹⩛40204⊱⇼⊻↹⩛13014=↹⩛2002","layer":3},{"info":"↹⩛11115⫌⩉⩟↹⩛24010=↹⩛-122","layer":3},{"info":"↹⩛2002⪭≯↹⩛-122=NaN","layer":2},{"info":"↹⩛503230114022⪮%⊝NaN=NaN","layer":1},{"info":"↹⩛500210⨿NaN=↹⩛-1251","layer":0}]} +{"id":279,"expression_no_base_symbol":"(⇉-⫰$1382$)⫗⊷⫓($1415$⪕$7158$)⋾⨃∁$1938$⇻⋧≁$2083$⪥(⫶⊄≣$1403$)⫡⨏($3758$⪭≯$8264$)⨸($6866$∼$4588$)⪛⫼($8449$⨲∙)⪛⫼($2144$⊍⩺⋍$2656$)","expression":"(⇉-⫰↹⩛10222)⫗⊷⫓(↹⩛10315⪕↹⩛53050)⋾⨃∁↹⩛12550⇻⋧≁↹⩛13351⪥(⫶⊄≣↹⩛10255)⫡⨏(↹⩛25222⪭≯↹⩛102132)⨸(↹⩛51442∼↹⩛33124)⪛⫼(↹⩛103041⨲∙)⪛⫼(↹⩛13532⊍⩺⋍↹⩛20144)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":2250492,"operation_count":15,"complexity_ratio":150032.8,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1382,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1415,"base":6},"right_expr":{"type":"numeric_atoms","value":7158,"base":6}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1938,"base":6},"right_expr":{"type":"numeric_atoms","value":2083,"base":6}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1403,"base":6}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3758,"base":6},"right_expr":{"type":"numeric_atoms","value":8264,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6866,"base":6},"right_expr":{"type":"numeric_atoms","value":4588,"base":6}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":8449,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2144,"base":6},"right_expr":{"type":"numeric_atoms","value":2656,"base":6}}}}},"used_operators":["QMFrweE19q","212REbPD9h","zashukvMKz","IGFM8TAlm9","umQnsF7QlU","QbnwKVWMIQ","jCPkEVoL5K","wxb3vTeyAj","hyuBjUqXlG","KmoU8R5UQR","XAx5wpdLa6","DyGG3AbaNP","cRahaglYVE","OXDGMFPWZM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eH2TOUuTDT","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=7158","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=7158, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-55, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1938","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=2083, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=35453305","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=35453305, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=5576","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=5576, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=310850754","layer":1},{"info":"number node, value=3758","layer":4},{"info":"number node, value=8264","layer":4},{"info":"compute binary expreesion, left_input=3758, right_input=8264, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=6866","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=6866, right_input=4588, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=8449","layer":4},{"info":"compute unary expreesion, input=8449, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=112045714","layer":3},{"info":"number node, value=2144","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=2656, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=112045714, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=310850754, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇉-⫰↹⩛10222)⫗⊷⫓(↹⩛10315⪕↹⩛53050)⋾⨃∁↹⩛12550⇻⋧≁↹⩛13351⪥(⫶⊄≣↹⩛10255)⫡⨏(↹⩛25222⪭≯↹⩛102132)⨸(↹⩛51442∼↹⩛33124)⪛⫼(↹⩛103041⨲∙)⪛⫼(↹⩛13532⊍⩺⋍↹⩛20144)=NaN","reverse_text":"NaN=(⇉-⫰↹⩛10222)⫗⊷⫓(↹⩛10315⪕↹⩛53050)⋾⨃∁↹⩛12550⇻⋧≁↹⩛13351⪥(⫶⊄≣↹⩛10255)⫡⨏(↹⩛25222⪭≯↹⩛102132)⨸(↹⩛51442∼↹⩛33124)⪛⫼(↹⩛103041⨲∙)⪛⫼(↹⩛13532⊍⩺⋍↹⩛20144)","cot":[{"info":"⇉-⫰↹⩛10222=↹⩛32","layer":3},{"info":"↹⩛10315⪕↹⩛53050=↹⩛-131","layer":3},{"info":"↹⩛32⫗⊷⫓↹⩛-131=↹⩛-342","layer":2},{"info":"↹⩛12550⇻⋧≁↹⩛13351=↹⩛-2023","layer":3},{"info":"⫶⊄≣↹⩛10255=↹⩛3303515401","layer":3},{"info":"↹⩛-2023⪥↹⩛3303515401=↹⩛41452","layer":2},{"info":"↹⩛-342⋾⨃∁↹⩛41452=↹⩛50502335510","layer":1},{"info":"↹⩛25222⪭≯↹⩛102132=NaN","layer":3},{"info":"↹⩛51442∼↹⩛33124=NaN","layer":3},{"info":"NaN⨸NaN=NaN","layer":2},{"info":"↹⩛103041⨲∙=↹⩛15041310054","layer":3},{"info":"↹⩛13532⊍⩺⋍↹⩛20144=NaN","layer":3},{"info":"↹⩛15041310054⪛⫼NaN=NaN","layer":2},{"info":"NaN⪛⫼NaN=NaN","layer":1},{"info":"↹⩛50502335510⫡⨏NaN=NaN","layer":0}]} +{"id":280,"expression_no_base_symbol":"⪡⇡≛(⪛⨧(⫯(⩩$7509$)))","expression":"⪡⇡≛(⪛⨧(⫯(⩩↹⩛54433)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8529,"operation_count":4,"complexity_ratio":2132.25,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":7509,"base":6}}}}},"used_operators":["qL4PrbW1Dq","6NJAcO2OWT","H6BK1Evt7c","kMhfGuqI2H"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7509","layer":4},{"info":"compute unary expreesion, input=7509, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (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":6,"result_base":6,"text":"⪡⇡≛(⪛⨧(⫯(⩩↹⩛54433)))=NaN","reverse_text":"NaN=⪡⇡≛(⪛⨧(⫯(⩩↹⩛54433)))","cot":[{"info":"⩩↹⩛54433=NaN","layer":3},{"info":"⫯NaN=NaN","layer":2},{"info":"⪛⨧NaN=NaN","layer":1},{"info":"⪡⇡≛NaN=NaN","layer":0}]} +{"id":281,"expression_no_base_symbol":"⊥((($4069$⩅⪻⪻)⇴$1040$⫣⪄⊒$4173$)∀⇚≩((≻⋜$1010$)⪃↞⩐))","expression":"⊥(((↹⩛30501⩅⪻⪻)⇴↹⩛4452⫣⪄⊒↹⩛31153)∀⇚≩((≻⋜↹⩛4402)⪃↞⩐))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5030,"operation_count":7,"complexity_ratio":718.5714285714286,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":4069,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1040,"base":6},"right_expr":{"type":"numeric_atoms","value":4173,"base":6}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1010,"base":6}}}}},"used_operators":["Q3PJZHRvZv","LRNGc0VcxI","4JB6nKBMSY","kHoXpA7yos","RabNbG55vr","grXIztHqDa","3tj9sqzovi"],"dependent_operators":["fu6greOZ01","X99M06cbEe","sdazOOVcIp","NTOWxs364D","COABgblf1C","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4069","layer":4},{"info":"compute unary expreesion, input=4069, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-601637","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=4173, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-23470","layer":3},{"info":"compute binary expreesion, left_input=-601637, right_input=-23470, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-3657148","layer":2},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3657148, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊥(((↹⩛30501⩅⪻⪻)⇴↹⩛4452⫣⪄⊒↹⩛31153)∀⇚≩((≻⋜↹⩛4402)⪃↞⩐))=NaN","reverse_text":"NaN=⊥(((↹⩛30501⩅⪻⪻)⇴↹⩛4452⫣⪄⊒↹⩛31153)∀⇚≩((≻⋜↹⩛4402)⪃↞⩐))","cot":[{"info":"↹⩛30501⩅⪻⪻=↹⩛-20521205","layer":3},{"info":"↹⩛4452⫣⪄⊒↹⩛31153=↹⩛-300354","layer":3},{"info":"↹⩛-20521205⇴↹⩛-300354=↹⩛-210215124","layer":2},{"info":"≻⋜↹⩛4402=NaN","layer":3},{"info":"NaN⪃↞⩐=NaN","layer":2},{"info":"↹⩛-210215124∀⇚≩NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]} +{"id":282,"expression_no_base_symbol":"($2552$+⪬∐$1996$⩇∃⫛($2631$∑⇟⊟$2440$))⪃⊛⇣($2356$↳∿⪆$1257$⊹≧⊝)⨟⋌⩍(⨦⪝(($2340$⩤)⇩))","expression":"(↹⩛15452+⪬∐↹⩛13124⩇∃⫛(↹⩛20103∑⇟⊟↹⩛15144))⪃⊛⇣(↹⩛14524↳∿⪆↹⩛5453⊹≧⊝)⨟⋌⩍(⨦⪝((↹⩛14500⩤)⇩))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3026,"operation_count":10,"complexity_ratio":302.6,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2552,"base":6},"right_expr":{"type":"numeric_atoms","value":1996,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2631,"base":6},"right_expr":{"type":"numeric_atoms","value":2440,"base":6}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2356,"base":6},"right_expr":{"type":"numeric_atoms","value":1257,"base":6}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2340,"base":6}}}}},"used_operators":["rGHVDoGpnC","rrgAzCduG9","1aApVXNlOP","2GS7woTJqF","U7g4x0WXJJ","LxFB4K6j0n","Cw4SuJJGHO","SUjycxNXIR","vRio1gEz1j","Z2TMIBDE3Q"],"dependent_operators":["Tcnh7f0tEr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","g55IO6H4Gj","D4vGDi5EA2","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2552","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=1996, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7656","layer":3},{"info":"number node, value=2631","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=2631, right_input=2440, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7656, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=2356","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=1257, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2340","layer":3},{"info":"compute unary expreesion, input=-2340, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-2247","layer":2},{"info":"compute unary expreesion, input=-2247, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-1884, 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":6,"result_base":6,"text":"(↹⩛15452+⪬∐↹⩛13124⩇∃⫛(↹⩛20103∑⇟⊟↹⩛15144))⪃⊛⇣(↹⩛14524↳∿⪆↹⩛5453⊹≧⊝)⨟⋌⩍(⨦⪝((↹⩛14500⩤)⇩))=NaN","reverse_text":"NaN=(↹⩛15452+⪬∐↹⩛13124⩇∃⫛(↹⩛20103∑⇟⊟↹⩛15144))⪃⊛⇣(↹⩛14524↳∿⪆↹⩛5453⊹≧⊝)⨟⋌⩍(⨦⪝((↹⩛14500⩤)⇩))","cot":[{"info":"↹⩛15452+⪬∐↹⩛13124=↹⩛-55240","layer":3},{"info":"↹⩛20103∑⇟⊟↹⩛15144=NaN","layer":3},{"info":"↹⩛-55240⩇∃⫛NaN=NaN","layer":2},{"info":"↹⩛14524↳∿⪆↹⩛5453=NaN","layer":3},{"info":"NaN⊹≧⊝=NaN","layer":2},{"info":"NaN⪃⊛⇣NaN=↹⩛5414","layer":1},{"info":"↹⩛14500⩤=↹⩛-14500","layer":3},{"info":"↹⩛-14500⇩=↹⩛-14223","layer":2},{"info":"⨦⪝↹⩛-14223=↹⩛-12420","layer":1},{"info":"↹⩛5414⨟⋌⩍↹⩛-12420=NaN","layer":0}]} +{"id":283,"expression_no_base_symbol":"⩦⊞(⊢≑≆$1303$⇂≾⫗$1379$)∓⋝((≋$6002$)≧⫂∧($4153$⊜))","expression":"⩦⊞(⊢≑≆↹⩛10011⇂≾⫗↹⩛10215)∓⋝((≋↹⩛43442)≧⫂∧(↹⩛31121⊜))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":126,"operation_count":7,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1303,"base":6},"right_expr":{"type":"numeric_atoms","value":1379,"base":6}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":6002,"base":6}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":4153,"base":6}}}}},"used_operators":["u7fv1HBiaC","PoHhknlbAi","27wFxooxGf","aBQ6xLxuTc","Ph9nP6C5qx","61wBmkZwlr","Eev2Q7dYIw"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"↹⩛210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=1379, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=1545","layer":2},{"info":"number node, value=6002","layer":4},{"info":"compute unary expreesion, input=6002, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=6002","layer":3},{"info":"number node, value=4153","layer":4},{"info":"compute unary expreesion, input=4153, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-14876","layer":3},{"info":"compute binary expreesion, left_input=6002, right_input=-14876, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=20878","layer":2},{"info":"compute binary expreesion, left_input=1545, right_input=20878, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=78","layer":0}],"base":6,"result_base":6,"text":"⩦⊞(⊢≑≆↹⩛10011⇂≾⫗↹⩛10215)∓⋝((≋↹⩛43442)≧⫂∧(↹⩛31121⊜))=↹⩛210","reverse_text":"↹⩛210=⩦⊞(⊢≑≆↹⩛10011⇂≾⫗↹⩛10215)∓⋝((≋↹⩛43442)≧⫂∧(↹⩛31121⊜))","cot":[{"info":"↹⩛10011⇂≾⫗↹⩛10215=↹⩛-3044","layer":3},{"info":"⊢≑≆↹⩛-3044=↹⩛11053","layer":2},{"info":"≋↹⩛43442=↹⩛43442","layer":3},{"info":"↹⩛31121⊜=↹⩛-152512","layer":3},{"info":"↹⩛43442≧⫂∧↹⩛-152512=↹⩛240354","layer":2},{"info":"↹⩛11053∓⋝↹⩛240354=↹⩛151","layer":1},{"info":"⩦⊞↹⩛151=↹���210","layer":0}]} +{"id":284,"expression_no_base_symbol":"(($1111$⩍⋽⫝̸$4273$)⫗⊷⫓($4490$⪨⊡$1699$)⇄(⋣$1431$⊕∕$7551$))↬(∂$2115$⩖⊿$2177$)∺≝⩲($2966$≝⊿$5711$⩒⫫($7240$⊊))","expression":"((↹⩛5051⩍⋽⫝̸↹⩛31441)⫗⊷⫓(↹⩛32442⪨⊡↹⩛11511)⇄(⋣↹⩛10343⊕∕↹⩛54543))↬(∂↹⩛13443⩖⊿↹⩛14025)∺≝⩲(↹⩛21422≝⊿↹⩛42235⩒⫫(↹⩛53304⊊))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":88079,"operation_count":13,"complexity_ratio":6775.307692307692,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1111,"base":6},"right_expr":{"type":"numeric_atoms","value":4273,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4490,"base":6},"right_expr":{"type":"numeric_atoms","value":1699,"base":6}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1431,"base":6},"right_expr":{"type":"numeric_atoms","value":7551,"base":6}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2115,"base":6},"right_expr":{"type":"numeric_atoms","value":2177,"base":6}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2966,"base":6},"right_expr":{"type":"numeric_atoms","value":5711,"base":6}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":7240,"base":6}}}}},"used_operators":["B5M0gjZbta","3EYGwJThht","zashukvMKz","BiWNJpBvwn","kuIXHzHcAH","zQWRhDnn8F","9cloC0Ngie","KPf6cnQVty","Uaa54Peajs","RZ5CV9rWsJ","KFSx94NKJn","OKKcZfAt5B","W9R8I5fN5A"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Ph9nP6C5qx","xUOZtlo3hN","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","12rbrZMWeM","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=4273, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3327","layer":3},{"info":"number node, value=4490","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=1699, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3327, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=7551","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=7551, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1431","layer":3},{"info":"compute unary expreesion, input=1431, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-420619","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-420619, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=2115","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=2177, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8874","layer":3},{"info":"compute unary expreesion, input=8874, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2966","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=5711, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14921","layer":3},{"info":"number node, value=7240","layer":4},{"info":"compute unary expreesion, input=7240, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=-14921, right_input=90927, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, 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=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5051⩍⋽⫝̸↹⩛31441)⫗⊷⫓(↹⩛32442⪨⊡↹⩛11511)⇄(⋣↹⩛10343⊕∕↹⩛54543))↬(∂↹⩛13443⩖⊿↹⩛14025)∺≝⩲(↹⩛21422≝⊿↹⩛42235⩒⫫(↹⩛53304⊊))=↹⩛424","reverse_text":"↹⩛424=((↹⩛5051⩍⋽⫝̸↹⩛31441)⫗⊷⫓(↹⩛32442⪨⊡↹⩛11511)⇄(⋣↹⩛10343⊕∕↹⩛54543))↬(∂↹⩛13443⩖⊿↹⩛14025)∺≝⩲(↹⩛21422≝⊿↹⩛42235⩒⫫(↹⩛53304⊊))","cot":[{"info":"↹⩛5051⩍⋽⫝̸↹⩛31441=↹⩛23223","layer":3},{"info":"↹⩛32442⪨⊡↹⩛11511=↹⩛0","layer":3},{"info":"↹⩛23223⫗⊷⫓↹⩛0=↹⩛-342","layer":2},{"info":"↹⩛10343⊕∕↹⩛54543=↹⩛10343","layer":3},{"info":"⋣↹⩛10343=↹⩛-13003151","layer":2},{"info":"↹⩛-342⇄↹⩛-13003151=↹⩛0","layer":1},{"info":"↹⩛13443⩖⊿↹⩛14025=↹⩛105030","layer":3},{"info":"∂↹⩛105030=NaN","layer":2},{"info":"↹⩛21422≝⊿↹⩛42235=↹⩛-153025","layer":3},{"info":"↹⩛53304⊊=↹⩛1540543","layer":3},{"info":"↹⩛-153025⩒⫫↹⩛1540543=↹⩛424","layer":2},{"info":"NaN∺≝⩲↹⩛424=↹⩛424","layer":1},{"info":"↹⩛0↬↹⩛424=↹⩛424","layer":0}]} +{"id":285,"expression_no_base_symbol":"(($3081$⨼⩣$1173$)≎⪠(⩒∊$2349$)⨘)⨟⋌⩍(⪁⇼($4769$⊲⩕⊾$1209$)⇂≾⫗(⇤←$2513$))","expression":"((↹⩛22133⨼⩣↹⩛5233)≎⪠(⩒∊↹⩛14513)⨘)⨟⋌⩍(⪁⇼(↹⩛34025⊲⩕⊾↹⩛5333)⇂≾⫗(⇤←↹⩛15345))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41407,"operation_count":9,"complexity_ratio":4600.777777777777,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3081,"base":6},"right_expr":{"type":"numeric_atoms","value":1173,"base":6}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2349,"base":6}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4769,"base":6},"right_expr":{"type":"numeric_atoms","value":1209,"base":6}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2513,"base":6}}}}},"used_operators":["rGHVDoGpnC","ljcfZBUpm8","aNhz54LH3e","JxwMv5le6e","qazvmhNBbN","ZNVVrZ94lY","aBQ6xLxuTc","DmTXOeWf9t","jfAgQ2OQeM"],"dependent_operators":["Tcnh7f0tEr","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3081","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=1173, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2349","layer":4},{"info":"compute unary expreesion, input=2349, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑���⪐a)) }', output=3941","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3941, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-137681","layer":1},{"info":"number node, value=4769","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=1209, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-85024","layer":3},{"info":"number node, value=2513","layer":4},{"info":"compute unary expreesion, input=2513, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-11199","layer":3},{"info":"compute binary expreesion, left_input=-85024, right_input=-11199, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=-137681, right_input=422, 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":6,"result_base":6,"text":"((↹⩛22133⨼⩣↹⩛5233)≎⪠(⩒∊↹⩛14513)⨘)⨟⋌⩍(⪁⇼(↹⩛34025⊲⩕⊾↹⩛5333)⇂≾⫗(⇤←↹⩛15345))=↹⩛0","reverse_text":"↹⩛0=((↹⩛22133⨼⩣↹⩛5233)≎⪠(⩒∊↹⩛14513)⨘)⨟⋌⩍(⪁⇼(↹⩛34025⊲⩕⊾↹⩛5333)⇂≾⫗(⇤←↹⩛15345))","cot":[{"info":"↹⩛22133⨼⩣↹⩛5233=NaN","layer":3},{"info":"⩒∊↹⩛14513=↹⩛30125","layer":3},{"info":"NaN≎⪠↹⩛30125=↹⩛230314","layer":2},{"info":"↹⩛230314⨘=↹⩛-2541225","layer":1},{"info":"↹⩛34025⊲⩕⊾↹⩛5333=↹⩛-1453344","layer":3},{"info":"⇤←↹⩛15345=↹⩛-123503","layer":3},{"info":"↹⩛-1453344⇂≾⫗↹⩛-123503=↹⩛-3034","layer":2},{"info":"⪁⇼↹⩛-3034=↹⩛1542","layer":1},{"info":"↹⩛-2541225⨟⋌⩍↹⩛1542=↹⩛0","layer":0}]} +{"id":286,"expression_no_base_symbol":"≱⇩⩕(($5709$+⇶⊼$3293$%(↥≼⋛$5377$))⇀∌)","expression":"≱⇩⩕((↹⩛42233+⇶⊼↹⩛23125%(↥≼⋛↹⩛40521))⇀∌)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":99,"operation_count":5,"complexity_ratio":19.8,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5709,"base":6},"right_expr":{"type":"numeric_atoms","value":3293,"base":6}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5377,"base":6}}}}},"used_operators":["3DZMoQKiUl","2k53nXOpI5","k8jYdgA6NY","TpPTUOHfaN","x5lMkHmzsq"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rysDP5nf3Z","AHs5Up7iyr","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5709","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=5709, right_input=3293, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5377","layer":4},{"info":"compute unary expreesion, input=5377, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≱⇩⩕((↹⩛42233+⇶⊼↹⩛23125%(↥≼⋛↹⩛40521))⇀∌)=NaN","reverse_text":"NaN=≱⇩⩕((↹⩛42233+⇶⊼↹⩛23125%(↥≼⋛↹⩛40521))⇀∌)","cot":[{"info":"↹⩛42233+⇶⊼↹⩛23125=NaN","layer":3},{"info":"↥≼⋛↹⩛40521=↹⩛-305","layer":3},{"info":"NaN%↹⩛-305=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"≱⇩⩕NaN=NaN","layer":0}]} +{"id":287,"expression_no_base_symbol":"((⊊≼∋$2283$)↹⊜($4814$↺$4617$)≬⋮((⫛⫱⨽$3261$)⪐))⨐⩸⫘(($3430$⫒⫫$1885$)↬$2292$⪒⊣⊆$2134$)↳≱(($1092$≨$1599$)≁($3693$⊾⪯⋞$1676$))","expression":"((⊊≼∋↹⩛14323)↹⊜(↹⩛34142↺↹⩛33213)≬⋮((⫛⫱⨽↹⩛23033)⪐))⨐⩸⫘((↹⩛23514⫒⫫↹⩛12421)↬↹⩛14340⪒⊣⊆↹⩛13514)↳≱((↹⩛5020≨↹⩛11223)≁(↹⩛25033⊾⪯⋞↹⩛11432))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4058,"operation_count":14,"complexity_ratio":289.85714285714283,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2283,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4814,"base":6},"right_expr":{"type":"numeric_atoms","value":4617,"base":6}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3261,"base":6}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3430,"base":6},"right_expr":{"type":"numeric_atoms","value":1885,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2292,"base":6},"right_expr":{"type":"numeric_atoms","value":2134,"base":6}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1092,"base":6},"right_expr":{"type":"numeric_atoms","value":1599,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3693,"base":6},"right_expr":{"type":"numeric_atoms","value":1676,"base":6}}}}},"used_operators":["fu6greOZ01","kbkesczE7y","9bazX3JMtO","FWz7pXsQhA","7j4O788W3g","eH2TOUuTDT","DlLNRPXxWL","JwTKLfZU96","B5M0gjZbta","6Ko8hGgeMq","eRqsBgTDFp","8N2wDY1A35","0KMCeP1Jsh","HK0tfVPux8"],"dependent_operators":["3ViojmjbAp","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rGHVDoGpnC","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","W4YGzv6Whe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2283","layer":4},{"info":"compute unary expreesion, input=2283, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=4814","layer":4},{"info":"number node, value=4617","layer":4},{"info":"compute binary expreesion, left_input=4814, right_input=4617, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4617","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=4617, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-37032","layer":2},{"info":"number node, value=3261","layer":4},{"info":"compute unary expreesion, input=3261, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-37032, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3430","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=1885, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=2134, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4584","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4584, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1599, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8444","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=1676, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2926","layer":3},{"info":"compute binary expreesion, left_input=-8444, right_input=2926, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=57023","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=57023, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=868","layer":0}],"base":6,"result_base":6,"text":"((⊊≼∋↹⩛14323)↹⊜(↹⩛34142↺↹⩛33213)≬⋮((⫛⫱⨽↹⩛23033)⪐))⨐⩸⫘((↹⩛23514⫒⫫↹⩛12421)↬↹⩛14340⪒⊣⊆↹⩛13514)↳≱((↹⩛5020≨↹⩛11223)≁(↹⩛25033⊾⪯⋞↹⩛11432))=↹⩛4004","reverse_text":"↹⩛4004=((⊊≼∋↹⩛14323)↹⊜(↹⩛34142↺↹⩛33213)≬⋮((⫛⫱⨽↹⩛23033)⪐))⨐⩸⫘((↹⩛23514⫒⫫↹⩛12421)↬↹⩛14340⪒⊣⊆↹⩛13514)↳≱((↹⩛5020≨↹⩛11223)≁(↹⩛25033⊾⪯⋞↹⩛11432))","cot":[{"info":"⊊≼∋↹⩛14323=↹⩛-2023","layer":3},{"info":"↹⩛34142↺↹⩛33213=↹⩛33213","layer":3},{"info":"↹⩛-2023↹⊜↹⩛33213=↹⩛-443240","layer":2},{"info":"⫛⫱⨽↹⩛23033=↹⩛0","layer":3},{"info":"↹⩛0⪐=↹⩛0","layer":2},{"info":"↹⩛-443240≬⋮↹⩛0=↹⩛4004","layer":1},{"info":"↹⩛23514⫒⫫↹⩛12421=NaN","layer":3},{"info":"↹⩛14340⪒⊣⊆↹⩛13514=↹⩛33120","layer":3},{"info":"NaN↬↹⩛33120=NaN","layer":2},{"info":"↹⩛5020≨↹⩛11223=↹⩛-103032","layer":3},{"info":"↹⩛25033⊾⪯⋞↹⩛11432=↹⩛21314","layer":3},{"info":"↹⩛-103032≁↹⩛21314=↹⩛1115555","layer":2},{"info":"NaN↳≱↹⩛1115555=↹⩛0","layer":1},{"info":"↹⩛4004⨐⩸⫘↹⩛0=↹⩛4004","layer":0}]} +{"id":288,"expression_no_base_symbol":"((⩎⋉($2339$≀⫉$5500$))≝⊰⇂)⪘⫢(≯((⊤⊝$5820$)⊾⪯⋞$1752$⇡⇂$1126$))","expression":"((⩎⋉(↹⩛14455≀⫉↹⩛41244))≝⊰⇂)⪘⫢(≯((⊤⊝↹⩛42540)⊾⪯⋞↹⩛12040⇡⇂↹⩛5114))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8308,"operation_count":8,"complexity_ratio":1038.5,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2339,"base":6},"right_expr":{"type":"numeric_atoms","value":5500,"base":6}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":5820,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1752,"base":6},"right_expr":{"type":"numeric_atoms","value":1126,"base":6}}}}},"used_operators":["oacrs7FA3X","htSmYCowi5","FlXk3pOYe8","oZj3VtZNQx","keWfFq85dY","HK0tfVPux8","rXAclfmB4M","UMwdvZNt44"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","DlLNRPXxWL","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","g55IO6H4Gj","JLbD19bQDL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2339","layer":4},{"info":"number node, value=5500","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=5500, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute unary expreesion, input=1650, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":1},{"info":"number node, value=5820","layer":4},{"info":"compute unary expreesion, input=5820, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=10342","layer":3},{"info":"number node, value=1752","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=1126, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10342, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⩎⋉(↹⩛14455≀⫉↹⩛41244))≝⊰⇂)⪘⫢(≯((⊤⊝↹⩛42540)⊾⪯⋞↹⩛12040⇡⇂↹⩛5114))=NaN","reverse_text":"NaN=((⩎⋉(↹⩛14455≀⫉↹⩛41244))≝⊰⇂)⪘⫢(≯((⊤⊝↹⩛42540)⊾⪯⋞↹⩛12040⇡⇂↹⩛5114))","cot":[{"info":"↹⩛14455≀⫉↹⩛41244=↹⩛21022","layer":3},{"info":"⩎⋉↹⩛21022=↹⩛11350","layer":2},{"info":"↹⩛11350≝⊰⇂=↹⩛0","layer":1},{"info":"⊤⊝↹⩛42540=↹⩛115514","layer":3},{"info":"↹⩛12040⇡⇂↹⩛5114=NaN","layer":3},{"info":"↹⩛115514⊾⪯⋞NaN=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"↹⩛0⪘⫢NaN=NaN","layer":0}]} +{"id":289,"expression_no_base_symbol":"(($1342$⩘$7944$)⨑⩅≇($4088$%$6420$)⪭(⊙↵-$5569$)∣($1954$⇼⇔∾$3046$))↤⩊((↩⪖($6157$⊜))⇍⊗($2747$⩒⫫$1563$∪⫐$1081$⋥≓≎$1976$))","expression":"((↹⩛10114⩘↹⩛100440)⨑⩅≇(↹⩛30532%↹⩛45420)⪭(⊙↵-↹⩛41441)∣(↹⩛13014⇼⇔∾↹⩛22034))↤⩊((↩⪖(↹⩛44301⊜))⇍⊗(↹⩛20415⩒⫫↹⩛11123∪⫐↹⩛5001⋥≓≎↹⩛13052))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10132,"operation_count":14,"complexity_ratio":723.7142857142857,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1342,"base":6},"right_expr":{"type":"numeric_atoms","value":7944,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4088,"base":6},"right_expr":{"type":"numeric_atoms","value":6420,"base":6}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5569,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1954,"base":6},"right_expr":{"type":"numeric_atoms","value":3046,"base":6}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6157,"base":6}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2747,"base":6},"right_expr":{"type":"numeric_atoms","value":1563,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1081,"base":6},"right_expr":{"type":"numeric_atoms","value":1976,"base":6}}}}},"used_operators":["13rbtpv6ld","j9kHMeSvPp","h92wMvzauj","cHh1gJQ2o6","k8jYdgA6NY","PPChnnnBFF","oWn0xqSxBt","tifHPKVTfV","5uvYHDjeKN","fG6uBQFnGz","Eev2Q7dYIw","7YooWSwCyH","KFSx94NKJn","Qy55tPpLXF"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=7944","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=7944, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4088","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=6420, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4088","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4088, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-480","layer":2},{"info":"number node, value=5569","layer":4},{"info":"compute unary expreesion, input=5569, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=3046","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3046, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1092","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1092, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-1, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=306","layer":1},{"info":"number node, value=6157","layer":4},{"info":"compute unary expreesion, input=6157, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-22892","layer":3},{"info":"compute unary expreesion, input=-22892, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=318294","layer":2},{"info":"number node, value=2747","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=1563, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2445","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1976, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2904","layer":3},{"info":"compute binary expreesion, left_input=2445, right_input=2904, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2445","layer":2},{"info":"compute binary expreesion, left_input=318294, right_input=2445, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=306, right_input=-244, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10114⩘↹⩛100440)⨑⩅≇(↹⩛30532%↹⩛45420)⪭(⊙↵-↹⩛41441)∣(↹⩛13014⇼⇔∾↹⩛22034))↤⩊((↩⪖(↹⩛44301⊜))⇍⊗(↹⩛20415⩒⫫↹⩛11123∪⫐↹⩛5001⋥≓≎↹⩛13052))=NaN","reverse_text":"NaN=((↹⩛10114⩘↹⩛100440)⨑⩅≇(↹⩛30532%↹⩛45420)⪭(⊙↵-↹⩛41441)∣(↹⩛13014⇼⇔∾↹⩛22034))↤⩊((↩⪖(↹⩛44301⊜))⇍⊗(↹⩛20415⩒⫫↹⩛11123∪⫐↹⩛5001⋥≓≎↹⩛13052))","cot":[{"info":"↹⩛10114⩘↹⩛100440=↹⩛424","layer":3},{"info":"↹⩛30532%↹⩛45420=↹⩛30532","layer":3},{"info":"↹⩛424⨑⩅≇↹⩛30532=↹⩛-2120","layer":2},{"info":"⊙↵-↹⩛41441=↹⩛-1","layer":3},{"info":"↹⩛13014⇼⇔∾↹⩛22034=↹⩛5020","layer":3},{"info":"↹⩛-1∣↹⩛5020=↹⩛-1","layer":2},{"info":"↹⩛-2120⪭↹⩛-1=↹⩛1230","layer":1},{"info":"↹⩛44301⊜=↹⩛-253552","layer":3},{"info":"↩⪖↹⩛-253552=↹⩛10453330","layer":2},{"info":"↹⩛20415⩒⫫↹⩛11123=↹⩛15153","layer":3},{"info":"↹⩛5001⋥≓≎↹⩛13052=↹⩛21240","layer":3},{"info":"↹⩛15153∪⫐↹⩛21240=↹⩛15153","layer":2},{"info":"↹⩛10453330⇍⊗↹⩛15153=↹⩛-1044","layer":1},{"info":"↹⩛1230↤⩊↹⩛-1044=NaN","layer":0}]} +{"id":290,"expression_no_base_symbol":"(($2573$∷)↼⊘⨖($2529$+$4495$)≭(⫡⇟⇯$2645$)⩁⩘($5371$⊲⩕⊾$2018$))↳≱((⩩($9260$⫸⇳$2066$))⩼⇪↪(($2395$⇼⇔∾$6502$)⇆⨓≜))","expression":"((↹⩛15525∷)↼⊘⨖(↹⩛15413+↹⩛32451)≭(⫡⇟⇯↹⩛20125)⩁⩘(↹⩛40511⊲⩕⊾↹⩛13202))↳≱((⩩(↹⩛110512⫸⇳↹⩛13322))⩼⇪↪((↹⩛15031⇼⇔∾↹⩛50034)⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1250,"operation_count":13,"complexity_ratio":96.15384615384616,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":2573,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2529,"base":6},"right_expr":{"type":"numeric_atoms","value":4495,"base":6}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2645,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5371,"base":6},"right_expr":{"type":"numeric_atoms","value":2018,"base":6}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":9260,"base":6},"right_expr":{"type":"numeric_atoms","value":2066,"base":6}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2395,"base":6},"right_expr":{"type":"numeric_atoms","value":6502,"base":6}}}}},"used_operators":["JwTKLfZU96","rxpJgHHUmx","bPywburJMS","nFAOW8KTqp","W4YGzv6Whe","gub5Cegaqo","qWUSsah53b","DmTXOeWf9t","ocnLzx9CaJ","kMhfGuqI2H","gx7XJ7hdpj","KvvgdUaMHJ","tifHPKVTfV"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","DpFCA1CohY","IWmyXbctLI","DZ8iAZOCBD","P8v4zCKN1o","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Uaa54Peajs","KYD54nUTWz","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2573","layer":4},{"info":"compute unary expreesion, input=2573, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=7719","layer":3},{"info":"number node, value=2529","layer":4},{"info":"number node, value=4495","layer":4},{"info":"compute binary expreesion, left_input=2529, right_input=4495, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7024","layer":3},{"info":"compute binary expreesion, left_input=7719, right_input=7024, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=13826","layer":2},{"info":"number node, value=2645","layer":4},{"info":"compute unary expreesion, input=2645, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=6158","layer":3},{"info":"number node, value=5371","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=2018, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-102746","layer":3},{"info":"compute binary expreesion, left_input=6158, right_input=-102746, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-410036","layer":2},{"info":"compute binary expreesion, left_input=13826, right_input=-410036, 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=9260","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=9260, right_input=2066, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":2},{"info":"number node, value=2395","layer":4},{"info":"number node, value=6502","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=6502, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4107","layer":3},{"info":"compute unary expreesion, input=4107, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15525∷)↼⊘⨖(↹⩛15413+↹⩛32451)≭(⫡⇟⇯↹⩛20125)⩁⩘(↹⩛40511⊲⩕⊾↹⩛13202))↳≱((⩩(↹⩛110512⫸⇳↹⩛13322))⩼⇪↪((↹⩛15031⇼⇔∾↹⩛50034)⇆⨓≜))=↹⩛0","reverse_text":"↹⩛0=((↹⩛15525∷)↼⊘⨖(↹⩛15413+↹⩛32451)≭(⫡⇟⇯↹⩛20125)⩁⩘(↹⩛40511⊲⩕⊾↹⩛13202))↳≱((⩩(↹⩛110512⫸⇳↹⩛13322))⩼⇪↪((↹⩛15031⇼⇔∾↹⩛50034)⇆⨓≜))","cot":[{"info":"↹⩛15525∷=↹⩛55423","layer":3},{"info":"↹⩛15413+↹⩛32451=↹⩛52304","layer":3},{"info":"↹⩛55423↼⊘⨖↹⩛52304=↹⩛144002","layer":2},{"info":"⫡⇟⇯↹⩛20125=↹⩛44302","layer":3},{"info":"↹⩛40511⊲⩕⊾↹⩛13202=↹⩛-2111402","layer":3},{"info":"↹⩛44302⩁⩘↹⩛-2111402=↹⩛-12442152","layer":2},{"info":"↹⩛144002≭↹⩛-12442152=NaN","layer":1},{"info":"↹⩛110512⫸⇳↹⩛13322=↹⩛0","layer":3},{"info":"⩩↹⩛0=↹⩛1024","layer":2},{"info":"↹⩛15031⇼⇔∾↹⩛50034=↹⩛31003","layer":3},{"info":"↹⩛31003⇆⨓≜=NaN","layer":2},{"info":"↹⩛1024⩼⇪↪NaN=NaN","layer":1},{"info":"NaN↳≱NaN=↹⩛0","layer":0}]} +{"id":291,"expression_no_base_symbol":"($1648$⫗⊷⫓$6407$⪍↜⋙($3334$⊍⩺⋍$5372$)⋾⨃∁(($4972$≬⋮$2804$)↙$7087$∊∟⩊$3750$))⇂≾⫗((⫶⊄≣($2030$⇷$4469$))⩚⊴⇥($5290$⩁⩘$2577$⫩))","expression":"(↹⩛11344⫗⊷⫓↹⩛45355⪍↜⋙(↹⩛23234⊍⩺⋍↹⩛40512)⋾⨃∁((↹⩛35004≬⋮↹⩛20552)↙↹⩛52451∊∟⩊↹⩛25210))⇂≾⫗((⫶⊄≣(↹⩛13222⇷↹⩛32405))⩚⊴⇥(↹⩛40254⩁⩘↹⩛15533⫩))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":64657,"operation_count":13,"complexity_ratio":4973.615384615385,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1648,"base":6},"right_expr":{"type":"numeric_atoms","value":6407,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3334,"base":6},"right_expr":{"type":"numeric_atoms","value":5372,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4972,"base":6},"right_expr":{"type":"numeric_atoms","value":2804,"base":6}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":7087,"base":6},"right_expr":{"type":"numeric_atoms","value":3750,"base":6}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2030,"base":6},"right_expr":{"type":"numeric_atoms","value":4469,"base":6}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5290,"base":6},"right_expr":{"type":"numeric_atoms","value":2577,"base":6}}}}},"used_operators":["aBQ6xLxuTc","212REbPD9h","L05ObWFQCd","zashukvMKz","OXDGMFPWZM","yyfyN0ffXY","kbkesczE7y","ddLRYrp01A","NTOWxs364D","wxb3vTeyAj","mp7IySMOzn","6aG7x05OhS","gub5Cegaqo"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","tmPS8pqC7x","DpFCA1CohY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"number node, value=6407","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=6407, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3334","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=3334, right_input=5372, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=4972","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=4972, right_input=2804, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=7087","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=7087, right_input=3750, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3750","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=3750, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11250","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11250, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1265759906","layer":1},{"info":"number node, value=2030","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=4469, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8938","layer":3},{"info":"compute unary expreesion, input=8938, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1438138765","layer":2},{"info":"number node, value=5290","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=2577, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11256","layer":3},{"info":"compute unary expreesion, input=11256, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1438138765, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1265759906, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11344⫗⊷⫓↹⩛45355⪍↜⋙(↹⩛23234⊍⩺⋍↹⩛40512)⋾⨃∁((↹⩛35004≬⋮↹⩛20552)↙↹⩛52451∊∟⩊↹⩛25210))⇂≾⫗((⫶⊄≣(↹⩛13222⇷↹⩛32405))⩚⊴⇥(↹⩛40254⩁⩘↹⩛15533⫩))=NaN","reverse_text":"NaN=(↹⩛11344⫗⊷⫓↹⩛45355⪍↜⋙(↹⩛23234⊍⩺⋍↹⩛40512)⋾⨃∁((↹⩛35004≬⋮↹⩛20552)↙↹⩛52451∊∟⩊↹⩛25210))⇂≾⫗((⫶⊄≣(↹⩛13222⇷↹⩛32405))⩚⊴⇥(↹⩛40254⩁⩘↹⩛15533⫩))","cot":[{"info":"↹⩛11344⫗⊷⫓↹⩛45355=↹⩛-342","layer":3},{"info":"↹⩛23234⊍⩺⋍↹⩛40512=NaN","layer":3},{"info":"↹⩛-342⪍↜⋙NaN=NaN","layer":2},{"info":"↹⩛35004≬⋮↹⩛20552=↹⩛4004","layer":3},{"info":"↹⩛52451∊∟⩊↹⩛25210=↹⩛25210","layer":3},{"info":"↹⩛4004↙↹⩛25210=↹⩛-124030","layer":2},{"info":"NaN⋾⨃∁↹⩛-124030=↹⩛325333343322","layer":1},{"info":"↹⩛13222⇷↹⩛32405=↹⩛105214","layer":3},{"info":"⫶⊄≣↹⩛105214=↹⩛354412145501","layer":2},{"info":"↹⩛40254⩁⩘↹⩛15533=↹⩛124040","layer":3},{"info":"↹⩛124040⫩=NaN","layer":2},{"info":"↹⩛354412145501⩚⊴⇥NaN=NaN","layer":1},{"info":"↹⩛325333343322⇂≾⫗NaN=NaN","layer":0}]} +{"id":292,"expression_no_base_symbol":"($5216$↤⩊$1021$)⫗⊷⫓($4402$⊉↱≁$2689$)⪭($2707$⩹$1130$)∊∟⩊(⊵⊁$3173$)⨽(∥⊫$1438$⪶≀⋏$2938$↺$3996$↳∿⪆$4732$)","expression":"(↹⩛40052↤⩊↹⩛4421)⫗⊷⫓(↹⩛32214⊉↱≁↹⩛20241)⪭(↹⩛20311⩹↹⩛5122)∊∟⩊(⊵⊁↹⩛22405)⨽(∥⊫↹⩛10354⪶≀⋏↹⩛21334↺↹⩛30300↳∿⪆↹⩛33524)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":90304,"operation_count":12,"complexity_ratio":7525.333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5216,"base":6},"right_expr":{"type":"numeric_atoms","value":1021,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4402,"base":6},"right_expr":{"type":"numeric_atoms","value":2689,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2707,"base":6},"right_expr":{"type":"numeric_atoms","value":1130,"base":6}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3173,"base":6}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1438,"base":6},"right_expr":{"type":"numeric_atoms","value":2938,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3996,"base":6},"right_expr":{"type":"numeric_atoms","value":4732,"base":6}}}}},"used_operators":["8HhzD0ZcuI","j9kHMeSvPp","zashukvMKz","13rbtpv6ld","w2P8NbNXyL","ddLRYrp01A","2Wsdkap16l","AvED76WdY7","P8v4zCKN1o","7j4O788W3g","zR4jO40bMj","Cw4SuJJGHO"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","COABgblf1C","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5216","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=1021, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4402","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=4402, right_input=2689, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=27834","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27834, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=2707","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=1130, 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=1128","layer":3},{"info":"number node, value=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=17968","layer":3},{"info":"compute binary expreesion, left_input=1128, right_input=17968, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=17968","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=17968, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-40","layer":1},{"info":"number node, value=1438","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=2938, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10422","layer":3},{"info":"number node, value=3996","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=3996, right_input=4732, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10422, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-40, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛40052↤⩊↹⩛4421)⫗⊷⫓(↹⩛32214⊉↱≁↹⩛20241)⪭(↹⩛20311⩹↹⩛5122)∊∟⩊(⊵⊁↹⩛22405)⨽(∥⊫↹⩛10354⪶≀⋏↹⩛21334↺↹⩛30300↳∿⪆↹⩛33524)=NaN","reverse_text":"NaN=(↹⩛40052↤⩊↹⩛4421)⫗⊷⫓(↹⩛32214⊉↱≁↹⩛20241)⪭(↹⩛20311⩹↹⩛5122)∊∟⩊(⊵⊁↹⩛22405)⨽(∥⊫↹⩛10354⪶≀⋏↹⩛21334↺↹⩛30300↳∿⪆↹⩛33524)","cot":[{"info":"↹⩛40052↤⩊↹⩛4421=NaN","layer":3},{"info":"↹⩛32214⊉↱≁↹⩛20241=↹⩛332510","layer":3},{"info":"NaN⫗⊷⫓↹⩛332510=↹⩛-342","layer":2},{"info":"↹⩛20311⩹↹⩛5122=↹⩛5120","layer":3},{"info":"⊵⊁↹⩛22405=↹⩛215104","layer":3},{"info":"↹⩛5120∊∟⩊↹⩛215104=↹⩛215104","layer":2},{"info":"↹⩛-342⪭↹⩛215104=↹⩛-104","layer":1},{"info":"↹⩛10354⪶≀⋏↹⩛21334=↹⩛-120130","layer":3},{"info":"↹⩛30300↳∿⪆↹⩛33524=NaN","layer":3},{"info":"↹⩛-120130↺NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"↹⩛-104⨽NaN=NaN","layer":0}]} +{"id":293,"expression_no_base_symbol":"(≻⋜(($2631$⪐)⇼⇔∾$1249$⫒⫫$2433$))-(↩(⊲⪭$2126$)⪄$1107$≃$1744$)","expression":"(≻⋜((↹⩛20103⪐)⇼⇔∾↹⩛5441⫒⫫↹⩛15133))-(↩(⊲⪭↹⩛13502)⪄↹⩛5043≃↹⩛12024)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":176,"operation_count":9,"complexity_ratio":19.555555555555557,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2631,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1249,"base":6},"right_expr":{"type":"numeric_atoms","value":2433,"base":6}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2126,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1107,"base":6},"right_expr":{"type":"numeric_atoms","value":1744,"base":6}}}}},"used_operators":["rysDP5nf3Z","3tj9sqzovi","tifHPKVTfV","eH2TOUuTDT","6Ko8hGgeMq","jLgFTUHLKL","SUmda5xLS4","k7HXdKtiEU","YbVcJGFEVW"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2631","layer":4},{"info":"compute unary expreesion, input=2631, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5262","layer":3},{"info":"number node, value=1249","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=2433, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5262, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2300","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1744, 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=-4468","layer":3},{"info":"compute binary expreesion, left_input=-2300, right_input=-4468, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = jLgFTUHLKL, unary_op_definition = '���a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29052","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-29052, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≻⋜((↹⩛20103⪐)⇼⇔∾↹⩛5441⫒⫫↹⩛15133))-(↩(⊲⪭↹⩛13502)⪄↹⩛5043≃↹⩛12024)=NaN","reverse_text":"NaN=(≻⋜((↹⩛20103⪐)⇼⇔∾↹⩛5441⫒⫫↹⩛15133))-(↩(⊲⪭↹⩛13502)⪄↹⩛5043≃↹⩛12024)","cot":[{"info":"↹⩛20103⪐=↹⩛40210","layer":3},{"info":"↹⩛5441⫒⫫↹⩛15133=NaN","layer":3},{"info":"↹⩛40210⇼⇔∾NaN=NaN","layer":2},{"info":"≻⋜NaN=NaN","layer":1},{"info":"⊲⪭↹⩛13502=↹⩛-14352","layer":3},{"info":"↹⩛5043≃↹⩛12024=↹⩛-32404","layer":3},{"info":"↹⩛-14352⪄↹⩛-32404=↹⩛30231","layer":2},{"info":"↩↹⩛30231=↹⩛-342300","layer":1},{"info":"NaN-↹⩛-342300=NaN","layer":0}]} +{"id":294,"expression_no_base_symbol":"(⇤←(≸$1187$↤⩊$3310$))⪨≂(($2609$⨎$3809$)⋝⋈⪟($2336$≀⩗∶$4153$))⨑⩅≇(($7701$⫭)+$1203$≎⪠$1383$)","expression":"(⇤←(≸↹⩛5255↤⩊↹⩛23154))⪨≂((↹⩛20025⨎↹⩛25345)⋝⋈⪟(↹⩛14452≀⩗∶↹⩛31121))⨑⩅≇((↹⩛55353⫭)+↹⩛5323≎⪠↹⩛10223)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62346,"operation_count":11,"complexity_ratio":5667.818181818182,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1187,"base":6},"right_expr":{"type":"numeric_atoms","value":3310,"base":6}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2609,"base":6},"right_expr":{"type":"numeric_atoms","value":3809,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2336,"base":6},"right_expr":{"type":"numeric_atoms","value":4153,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":7701,"base":6}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1203,"base":6},"right_expr":{"type":"numeric_atoms","value":1383,"base":6}}}}},"used_operators":["sdazOOVcIp","jfAgQ2OQeM","eOf03JbCpp","13rbtpv6ld","h92wMvzauj","2DDjHMKMc0","rJVOvQCfKK","8INZBEW696","W4YGzv6Whe","t4WUHVGj7f","aNhz54LH3e"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1187","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=3310, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":1},{"info":"number node, value=2609","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=3809, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3809","layer":3},{"info":"number node, value=2336","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=4153, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=3809, right_input=-3, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3809","layer":2},{"info":"number node, value=7701","layer":4},{"info":"compute unary expreesion, input=7701, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=23344","layer":3},{"info":"number node, value=1203","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1383, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=23344, right_input=19558, op_id = W4YGzv6Whe binary_op_definition= 'None', output=42902","layer":2},{"info":"compute binary expreesion, left_input=3809, right_input=42902, 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=-11427","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11427, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇤←(≸↹⩛5255↤⩊↹⩛23154))⪨≂((↹⩛20025⨎↹⩛25345)⋝⋈⪟(↹⩛14452≀⩗∶↹⩛31121))⨑⩅≇((↹⩛55353⫭)+↹⩛5323≎⪠↹⩛10223)=NaN","reverse_text":"NaN=(⇤←(≸↹⩛5255↤⩊↹⩛23154))⪨≂((↹⩛20025⨎↹⩛25345)⋝⋈⪟(↹⩛14452≀⩗∶↹⩛31121))⨑⩅≇((↹⩛55353⫭)+↹⩛5323≎⪠↹⩛10223)","cot":[{"info":"↹⩛5255↤⩊↹⩛23154=NaN","layer":3},{"info":"≸NaN=NaN","layer":2},{"info":"⇤←NaN=NaN","layer":1},{"info":"↹⩛20025⨎↹⩛25345=↹⩛25345","layer":3},{"info":"↹⩛14452≀⩗∶↹⩛31121=↹⩛-3","layer":3},{"info":"↹⩛25345⋝⋈⪟↹⩛-3=↹⩛25345","layer":2},{"info":"↹⩛55353⫭=↹⩛300024","layer":3},{"info":"↹⩛5323≎⪠↹⩛10223=↹⩛230314","layer":3},{"info":"↹⩛300024+↹⩛230314=↹⩛530342","layer":2},{"info":"↹⩛25345⨑⩅≇↹⩛530342=↹⩛-124523","layer":1},{"info":"NaN⪨≂↹⩛-124523=NaN","layer":0}]} +{"id":295,"expression_no_base_symbol":"+⊝⨔($1693$⨜⨶$2170$⪮%⊝($1129$⫃⨇$2187$)≄⊠((≘$2496$)⫔⩽⩺$4473$⩷∴$4587$))","expression":"+⊝⨔(↹⩛11501⨜⨶↹⩛14014⪮%⊝(↹⩛5121⫃⨇↹⩛14043)≄⊠((≘↹⩛15320)⫔⩽⩺↹⩛32413⩷∴↹⩛33123))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":71453,"operation_count":8,"complexity_ratio":8931.625,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1693,"base":6},"right_expr":{"type":"numeric_atoms","value":2170,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1129,"base":6},"right_expr":{"type":"numeric_atoms","value":2187,"base":6}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2496,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4473,"base":6},"right_expr":{"type":"numeric_atoms","value":4587,"base":6}}}}},"used_operators":["DhbWaqg5eL","vXNesLlMH1","IWmyXbctLI","HiPekx5b7W","09Ly4LVMIf","i9eR4S00cU","tcjXMdvYtA","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z"],"result":"↹⩛11014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=2170, 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=-4084","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=2187, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8780","layer":3},{"info":"compute binary expreesion, left_input=-4084, right_input=-8780, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-7852","layer":2},{"info":"number node, value=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=5504464","layer":3},{"info":"number node, value=4473","layer":4},{"info":"number node, value=4587","layer":4},{"info":"compute binary expreesion, left_input=4473, right_input=4587, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=5504464, right_input=-260, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7852, 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":1},{"info":"compute unary expreesion, input=1500, 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":6,"result_base":6,"text":"+⊝⨔(↹⩛11501⨜⨶↹⩛14014⪮%⊝(↹⩛5121⫃⨇↹⩛14043)≄⊠((≘↹⩛15320)⫔⩽⩺↹⩛32413⩷∴↹⩛33123))=↹⩛11014","reverse_text":"↹⩛11014=+⊝⨔(↹⩛11501⨜⨶↹⩛14014⪮%⊝(↹⩛5121⫃⨇↹⩛14043)≄⊠((≘↹⩛15320)⫔⩽⩺↹⩛32413⩷∴↹⩛33123))","cot":[{"info":"↹⩛11501⨜⨶↹⩛14014=↹⩛-30524","layer":3},{"info":"↹⩛5121⫃⨇↹⩛14043=↹⩛-104352","layer":3},{"info":"↹⩛-30524⪮%⊝↹⩛-104352=↹⩛-100204","layer":2},{"info":"≘↹⩛15320=↹⩛313551344","layer":3},{"info":"↹⩛32413⩷∴↹⩛33123=↹⩛-1112","layer":3},{"info":"↹⩛313551344⫔⩽⩺↹⩛-1112=NaN","layer":2},{"info":"↹⩛-100204≄⊠NaN=↹⩛10540","layer":1},{"info":"+⊝⨔↹⩛10540=↹⩛11014","layer":0}]} +{"id":296,"expression_no_base_symbol":"+⊝⨔($2320$≹⇙⪍$6053$↱$2098$⩍⋽⫝̸$2036$)⫗⊷⫓((⇜$1940$)⩌⋺($1771$≦≮≮))","expression":"+⊝⨔(↹⩛14424≹⇙⪍↹⩛44005↱↹⩛13414⩍⋽⫝̸↹⩛13232)⫗⊷⫓((⇜↹⩛12552)⩌⋺(↹⩛12111≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":87950,"operation_count":8,"complexity_ratio":10993.75,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2320,"base":6},"right_expr":{"type":"numeric_atoms","value":6053,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2098,"base":6},"right_expr":{"type":"numeric_atoms","value":2036,"base":6}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1940,"base":6}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1771,"base":6}}}}},"used_operators":["DhbWaqg5eL","zashukvMKz","SR5kFfdi6N","AHs5Up7iyr","BiWNJpBvwn","g7Hmc5v1ko","lFBm8KRb8F","D4vGDi5EA2"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","dWAJyo7jo9","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛11014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2320","layer":4},{"info":"number node, value=6053","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=6053, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2098","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=2036, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1090","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1090, 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=-2748","layer":2},{"info":"number node, value=1940","layer":4},{"info":"compute unary expreesion, input=1940, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-15928","layer":3},{"info":"number node, value=1771","layer":4},{"info":"compute unary expreesion, input=1771, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5313","layer":3},{"info":"compute binary expreesion, left_input=-15928, right_input=-5313, 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=21120","layer":2},{"info":"compute binary expreesion, left_input=-2748, right_input=21120, 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 = 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":6,"result_base":6,"text":"+⊝⨔(↹⩛14424≹⇙⪍↹⩛44005↱↹⩛13414⩍⋽⫝̸↹⩛13232)⫗⊷⫓((⇜↹⩛12552)⩌⋺(↹⩛12111≦≮≮))=↹⩛11014","reverse_text":"↹⩛11014=+⊝⨔(↹⩛14424≹⇙⪍↹⩛44005↱↹⩛13414⩍⋽⫝̸↹⩛13232)⫗⊷⫓((⇜↹⩛12552)⩌⋺(↹⩛12111≦≮≮))","cot":[{"info":"↹⩛14424≹⇙⪍↹⩛44005=NaN","layer":3},{"info":"↹⩛13414⩍⋽⫝̸↹⩛13232=↹⩛5014","layer":3},{"info":"NaN↱↹⩛5014=↹⩛-20420","layer":2},{"info":"⇜↹⩛12552=↹⩛-201424","layer":3},{"info":"↹⩛12111≦≮≮=↹⩛-40333","layer":3},{"info":"↹⩛-201424⩌⋺↹⩛-40333=↹⩛241440","layer":2},{"info":"↹⩛-20420⫗⊷⫓↹⩛241440=↹⩛-342","layer":1},{"info":"+⊝⨔↹⩛-342=↹⩛11014","layer":0}]} +{"id":297,"expression_no_base_symbol":"⊖($3401$⇂≾⫗$1794$⩍⋽⫝̸$5880$⫁$1495$⩨($1035$⋻⩜⩜$6651$)⨪↰⇹($2796$⊋≦⊧$1828$))","expression":"⊖(↹⩛23425⇂≾⫗↹⩛12150⩍⋽⫝̸↹⩛43120⫁↹⩛10531⩨(↹⩛4443⋻⩜⩜↹⩛50443)⨪↰⇹(↹⩛20540⊋≦⊧↹⩛12244))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":95387,"operation_count":8,"complexity_ratio":11923.375,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3401,"base":6},"right_expr":{"type":"numeric_atoms","value":1794,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5880,"base":6},"right_expr":{"type":"numeric_atoms","value":1495,"base":6}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1035,"base":6},"right_expr":{"type":"numeric_atoms","value":6651,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2796,"base":6},"right_expr":{"type":"numeric_atoms","value":1828,"base":6}}}}},"used_operators":["U6pG0PXrV3","2DlMacCsIx","BiWNJpBvwn","aBQ6xLxuTc","0ajvFaJAv0","tmPS8pqC7x","oDCm7WA9JY","oRDoc9rAEX"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Ph9nP6C5qx","xUOZtlo3hN","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","cHh1gJQ2o6","AHs5Up7iyr","rJVOvQCfKK","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"↹⩛-130","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3401","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=1794, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=5880","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=5880, right_input=1495, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=160, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-369","layer":2},{"info":"number node, value=1035","layer":4},{"info":"number node, value=6651","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=6651, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2070","layer":3},{"info":"number node, value=2796","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=1828, 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=-3416","layer":3},{"info":"compute binary expreesion, left_input=2070, right_input=-3416, 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=2070","layer":2},{"info":"compute binary expreesion, left_input=-369, right_input=2070, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=18","layer":1},{"info":"compute unary expreesion, input=18, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=-54","layer":0}],"base":6,"result_base":6,"text":"⊖(↹⩛23425⇂≾⫗↹⩛12150⩍⋽⫝̸↹⩛43120⫁↹⩛10531⩨(↹⩛4443⋻⩜⩜↹⩛50443)⨪↰⇹(↹⩛20540⊋≦⊧↹⩛12244))=↹⩛-130","reverse_text":"↹⩛-130=⊖(↹⩛23425⇂≾⫗↹⩛12150⩍⋽⫝̸↹⩛43120⫁↹⩛10531⩨(↹⩛4443⋻⩜⩜↹⩛50443)⨪↰⇹(↹⩛20540⊋≦⊧↹⩛12244))","cot":[{"info":"↹⩛23425⇂≾⫗↹⩛12150=↹⩛-3044","layer":3},{"info":"↹⩛43120⫁↹⩛10531=↹⩛424","layer":3},{"info":"↹⩛-3044⩍⋽⫝̸↹⩛424=↹⩛-1413","layer":2},{"info":"↹⩛4443⋻⩜⩜↹⩛50443=↹⩛13330","layer":3},{"info":"↹⩛20540⊋≦⊧↹⩛12244=↹⩛-23452","layer":3},{"info":"↹⩛13330⨪↰⇹↹⩛-23452=↹⩛13330","layer":2},{"info":"↹⩛-1413⩨↹⩛13330=↹⩛30","layer":1},{"info":"⊖↹⩛30=↹⩛-130","layer":0}]} +{"id":298,"expression_no_base_symbol":"(↨⩢⫨((≀↧⇸$4373$)⩢≌))⫗⊷⫓((⊤⊝$3501$⨎$1142$)⪨⊡($1048$≦↸$3463$⨲∙))","expression":"(↨⩢⫨((≀↧⇸↹⩛32125)⩢≌))⫗⊷⫓((⊤⊝↹⩛24113⨎↹⩛5142)⪨⊡(↹⩛4504≦↸↹⩛24011⨲∙))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":117551,"operation_count":9,"complexity_ratio":13061.222222222223,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4373,"base":6}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3501,"base":6},"right_expr":{"type":"numeric_atoms","value":1142,"base":6}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1048,"base":6},"right_expr":{"type":"numeric_atoms","value":3463,"base":6}}}}},"used_operators":["zashukvMKz","Z5CJsN7DuW","D617RFjZIq","ljTHtUsqzn","kuIXHzHcAH","rXAclfmB4M","rJVOvQCfKK","cRahaglYVE","RygbFNSyEJ"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","hTbEZDJLEm","o20kRiQErp","XPYlsWDdGa","23Mk6UjR3U","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4373","layer":4},{"info":"compute unary expreesion, input=4373, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8746","layer":3},{"info":"compute unary expreesion, input=8746, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=3501","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=3501, right_input=1142, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1142","layer":3},{"info":"compute unary expreesion, input=1142, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=986","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=3463, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(���a))) }', output=-8341","layer":3},{"info":"compute unary expreesion, input=-8341, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=986, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":6,"result_base":6,"text":"(↨⩢⫨((≀↧⇸↹⩛32125)⩢≌))⫗⊷⫓((⊤⊝↹⩛24113⨎↹⩛5142)⪨⊡(↹⩛4504≦↸↹⩛24011⨲∙))=↹⩛-342","reverse_text":"↹⩛-342=(↨⩢⫨((≀↧⇸↹⩛32125)⩢≌))⫗⊷⫓((⊤⊝↹⩛24113⨎↹⩛5142)⪨⊡(↹⩛4504≦↸↹⩛24011⨲∙))","cot":[{"info":"≀↧⇸↹⩛32125=↹⩛104254","layer":3},{"info":"↹⩛104254⩢≌=↹⩛305","layer":2},{"info":"↨⩢⫨↹⩛305=↹⩛0","layer":1},{"info":"↹⩛24113⨎↹⩛5142=↹⩛5142","layer":3},{"info":"⊤⊝↹⩛5142=↹⩛4322","layer":2},{"info":"↹⩛4504≦↸↹⩛24011=↹⩛-102341","layer":3},{"info":"↹⩛-102341⨲∙=NaN","layer":2},{"info":"↹⩛4322⪨⊡NaN=NaN","layer":1},{"info":"↹⩛0⫗⊷⫓NaN=↹⩛-342","layer":0}]} +{"id":299,"expression_no_base_symbol":"(($1020$⨔⇊$5621$⊾⪯⋞($3870$⪥⨬⪅))+⇶⊼($3632$≥⨤⩑$2549$⫥∨⫟$1240$⇷$2135$))⋥⋵⩄($2024$∇⊂⋱$2572$≀⩗∶$1024$⪎↠$2206$)∳⫺$3243$⊮⊟↴$1726$⨔⇊($2173$⪛$8994$)","expression":"((↹⩛4420⨔⇊↹⩛42005⊾⪯⋞(↹⩛25530⪥⨬⪅))+⇶⊼(↹⩛24452≥⨤⩑↹⩛15445⫥∨⫟↹⩛5424⇷↹⩛13515))⋥⋵⩄(↹⩛13212∇⊂⋱↹⩛15524≀⩗∶↹⩛4424⪎↠↹⩛14114)∳⫺↹⩛23003⊮⊟↴↹⩛11554⨔⇊(↹⩛14021⪛↹⩛105350)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17842,"operation_count":15,"complexity_ratio":1189.4666666666667,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1020,"base":6},"right_expr":{"type":"numeric_atoms","value":5621,"base":6}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":3870,"base":6}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3632,"base":6},"right_expr":{"type":"numeric_atoms","value":2549,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1240,"base":6},"right_expr":{"type":"numeric_atoms","value":2135,"base":6}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2024,"base":6},"right_expr":{"type":"numeric_atoms","value":2572,"base":6}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1024,"base":6},"right_expr":{"type":"numeric_atoms","value":2206,"base":6}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3243,"base":6},"right_expr":{"type":"numeric_atoms","value":1726,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2173,"base":6},"right_expr":{"type":"numeric_atoms","value":8994,"base":6}}}}},"used_operators":["7t3wd0Fuz7","TpPTUOHfaN","HK0tfVPux8","JclMnS0uGI","zNRQejTB5A","KYD54nUTWz","gJLn6v0xnP","mp7IySMOzn","AzXXKTstlj","8INZBEW696","nhYeJWJD5X","3tVxb0NHM4","QDVgd2eftb","uFcxV4UQCh"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","AHs5Up7iyr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","8HhzD0ZcuI","rGHVDoGpnC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=5621","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=5621, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5621","layer":3},{"info":"number node, value=3870","layer":4},{"info":"compute unary expreesion, input=3870, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=5621, right_input=-473, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=3632","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=3632, right_input=2549, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2135, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4270","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=4270, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2024","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=2572, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3502","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2206, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3502, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=3243","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=1726, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2173","layer":4},{"info":"number node, value=8994","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=8994, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2173","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2173, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2173","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2173, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-4284","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4284, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4420⨔⇊↹⩛42005⊾⪯⋞(↹⩛25530⪥⨬⪅))+⇶⊼(↹⩛24452≥⨤⩑↹⩛15445⫥∨⫟↹⩛5424⇷↹⩛13515))⋥⋵⩄(↹⩛13212∇⊂⋱↹⩛15524≀⩗∶↹⩛4424⪎↠↹⩛14114)∳⫺↹⩛23003⊮⊟↴↹⩛11554⨔⇊(↹⩛14021⪛↹⩛105350)=NaN","reverse_text":"NaN=((↹⩛4420⨔⇊↹⩛42005⊾⪯⋞(↹⩛25530⪥⨬⪅))+⇶⊼(↹⩛24452≥⨤⩑↹⩛15445⫥∨⫟↹⩛5424⇷↹⩛13515))⋥⋵⩄(↹⩛13212∇⊂⋱↹⩛15524≀⩗∶↹⩛4424⪎↠↹⩛14114)∳⫺↹⩛23003⊮⊟↴↹⩛11554⨔⇊(↹⩛14021⪛↹⩛105350)","cot":[{"info":"↹⩛4420⨔⇊↹⩛42005=↹⩛42005","layer":3},{"info":"↹⩛25530⪥⨬⪅=↹⩛-2105","layer":3},{"info":"↹⩛42005⊾⪯⋞↹⩛-2105=↹⩛-3444","layer":2},{"info":"↹⩛24452≥⨤⩑↹⩛15445=↹⩛5414","layer":3},{"info":"↹⩛5424⇷↹⩛13515=↹⩛31434","layer":3},{"info":"↹⩛5414⫥∨⫟↹⩛31434=NaN","layer":2},{"info":"↹⩛-3444+⇶⊼NaN=NaN","layer":1},{"info":"↹⩛13212∇⊂⋱↹⩛15524=↹⩛24114","layer":3},{"info":"↹⩛4424⪎↠↹⩛14114=↹⩛424","layer":3},{"info":"↹⩛24114≀⩗∶↹⩛424=↹⩛0","layer":2},{"info":"↹⩛23003⊮⊟↴↹⩛11554=↹⩛0","layer":3},{"info":"↹⩛14021⪛↹⩛105350=↹⩛14021","layer":3},{"info":"↹⩛0⨔⇊↹⩛14021=↹⩛14021","layer":2},{"info":"↹⩛0∳⫺↹⩛14021=↹⩛-31500","layer":1},{"info":"NaN⋥⋵⩄↹⩛-31500=NaN","layer":0}]} +{"id":300,"expression_no_base_symbol":"(≸(↓⇌(⨡↴$2578$)))∺≝⩲(($5704$⇍⊗$1473$+⇶⊼$1134$⪃⊛⇣$6975$)⊋($1605$⊋$6741$⫸⇳$2050$⨿$1818$))","expression":"(≸(↓⇌(⨡↴↹⩛15534)))∺≝⩲((↹⩛42224⇍⊗↹⩛10453+⇶⊼↹⩛5130⪃⊛⇣↹⩛52143)⊋(↹⩛11233⊋↹⩛51113⫸⇳↹⩛13254⨿↹⩛12230))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11215,"operation_count":11,"complexity_ratio":1019.5454545454545,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2578,"base":6}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5704,"base":6},"right_expr":{"type":"numeric_atoms","value":1473,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1134,"base":6},"right_expr":{"type":"numeric_atoms","value":6975,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1605,"base":6},"right_expr":{"type":"numeric_atoms","value":6741,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2050,"base":6},"right_expr":{"type":"numeric_atoms","value":1818,"base":6}}}}},"used_operators":["KPf6cnQVty","eOf03JbCpp","PxpmPgHHJV","liw5iZPkLH","W4tP9CfskL","TpPTUOHfaN","5uvYHDjeKN","rrgAzCduG9","gx7XJ7hdpj","abYXlopdE0"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","P8v4zCKN1o","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3627","layer":3},{"info":"compute unary expreesion, input=3627, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3627","layer":2},{"info":"compute unary expreesion, input=3627, 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":"number node, value=5704","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=5704, right_input=1473, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=6975","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=6975, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=1234, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1605","layer":4},{"info":"number node, value=6741","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=6741, 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=-271588548","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=1818, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-271588548, right_input=-319, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":1},{"info":"compute binary expreesion, left_input=58, right_input=-5454, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(≸(↓⇌(⨡↴↹⩛15534)))∺≝⩲((↹⩛42224⇍⊗↹⩛10453+⇶⊼↹⩛5130⪃⊛⇣↹⩛52143)⊋(↹⩛11233⊋↹⩛51113⫸⇳↹⩛13254⨿↹⩛12230))=↹⩛424","reverse_text":"↹⩛424=(≸(↓⇌(⨡↴↹⩛15534)))∺≝⩲((↹⩛42224⇍⊗↹⩛10453+⇶⊼↹⩛5130⪃⊛⇣↹⩛52143)⊋(↹⩛11233⊋↹⩛51113⫸⇳↹⩛13254⨿↹⩛12230))","cot":[{"info":"⨡↴↹⩛15534=↹⩛24443","layer":3},{"info":"↓⇌↹⩛24443=↹⩛24443","layer":2},{"info":"≸↹⩛24443=↹⩛134","layer":1},{"info":"↹⩛42224⇍⊗↹⩛10453=↹⩛-1044","layer":3},{"info":"↹⩛5130⪃⊛⇣↹⩛52143=↹⩛5414","layer":3},{"info":"↹⩛-1044+⇶⊼↹⩛5414=NaN","layer":2},{"info":"↹⩛11233⊋↹⩛51113=↹⩛-42541030220","layer":3},{"info":"↹⩛13254⨿↹⩛12230=↹⩛-1251","layer":3},{"info":"↹⩛-42541030220⫸⇳↹⩛-1251=↹⩛0","layer":2},{"info":"NaN⊋↹⩛0=↹⩛-41130","layer":1},{"info":"↹⩛134∺≝⩲↹⩛-41130=↹⩛424","layer":0}]} +{"id":301,"expression_no_base_symbol":"∤↝(($1317$∘$5482$⇩)⨚⇆($1114$⇼⇔∾$4439$∲⫓$1531$⊋≦⊧$5890$))","expression":"∤↝((↹⩛10033∘↹⩛41214⇩)⨚⇆(↹⩛5054⇼⇔∾↹⩛32315∲⫓↹⩛11031⊋≦⊧↹⩛43134))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19210,"operation_count":7,"complexity_ratio":2744.285714285714,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1317,"base":6},"right_expr":{"type":"numeric_atoms","value":5482,"base":6}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1114,"base":6},"right_expr":{"type":"numeric_atoms","value":4439,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1531,"base":6},"right_expr":{"type":"numeric_atoms","value":5890,"base":6}}}}},"used_operators":["3UMq87Qwqg","lwHaAYXP2r","vRio1gEz1j","Z5m6OM72h2","i8ToyICDmI","tifHPKVTfV","oRDoc9rAEX"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=5482","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=5482, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2634","layer":3},{"info":"compute unary expreesion, input=2634, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2727","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=4439","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=4439, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3325","layer":3},{"info":"number node, value=1531","layer":4},{"info":"number node, value=5890","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=5890, 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=-7181","layer":3},{"info":"compute binary expreesion, left_input=3325, right_input=-7181, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3325","layer":2},{"info":"compute binary expreesion, left_input=2727, right_input=3325, 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 unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∤↝((↹⩛10033∘↹⩛41214⇩)⨚⇆(↹⩛5054⇼⇔∾↹⩛32315∲⫓↹⩛11031⊋≦⊧↹⩛43134))=NaN","reverse_text":"NaN=∤↝((↹⩛10033∘↹⩛41214⇩)⨚⇆(↹⩛5054⇼⇔∾↹⩛32315∲⫓↹⩛11031⊋≦⊧↹⩛43134))","cot":[{"info":"↹⩛10033∘↹⩛41214=↹⩛20110","layer":3},{"info":"↹⩛20110⇩=↹⩛20343","layer":2},{"info":"↹⩛5054⇼⇔∾↹⩛32315=↹⩛23221","layer":3},{"info":"↹⩛11031⊋≦⊧↹⩛43134=↹⩛-53125","layer":3},{"info":"↹⩛23221∲⫓↹⩛-53125=↹⩛23221","layer":2},{"info":"↹⩛20343⨚⇆↹⩛23221=NaN","layer":1},{"info":"∤↝NaN=NaN","layer":0}]} +{"id":302,"expression_no_base_symbol":"(⪁⇼($3422$⊱⇼⊻$2105$→⨶⪴(⪝⪂⫅$2551$)))⊜","expression":"(⪁⇼(↹⩛23502⊱⇼⊻↹⩛13425→⨶⪴(⪝⪂⫅↹⩛15451)))⊜","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":182,"operation_count":5,"complexity_ratio":36.4,"tree":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3422,"base":6},"right_expr":{"type":"numeric_atoms","value":2105,"base":6}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2551,"base":6}}}}},"used_operators":["Eev2Q7dYIw","ZNVVrZ94lY","bF6eod5Gvf","FyVja0WsTP","XTarYq4gQB"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp"],"result":"↹⩛120","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3422","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=2105, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2551","layer":4},{"info":"compute unary expreesion, input=2551, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-374997","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-374997, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=750830","layer":2},{"info":"compute unary expreesion, input=750830, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute unary expreesion, input=422, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=48","layer":0}],"base":6,"result_base":6,"text":"(⪁⇼(↹⩛23502⊱⇼⊻↹⩛13425→⨶⪴(⪝⪂⫅↹⩛15451)))⊜=↹⩛120","reverse_text":"↹⩛120=(⪁⇼(↹⩛23502⊱⇼⊻↹⩛13425→⨶⪴(⪝⪂⫅↹⩛15451)))⊜","cot":[{"info":"↹⩛23502⊱⇼⊻↹⩛13425=↹⩛2002","layer":3},{"info":"⪝⪂⫅↹⩛15451=↹⩛-12012033","layer":3},{"info":"↹⩛2002→⨶⪴↹⩛-12012033=↹⩛24032022","layer":2},{"info":"⪁⇼↹⩛24032022=↹⩛1542","layer":1},{"info":"↹⩛1542⊜=↹⩛120","layer":0}]} +{"id":303,"expression_no_base_symbol":"(($1007$⫞⩸⩒$7285$⫔⩽⩺$1343$⫗⊷⫓$5855$)⨓((⩦⩻⨪$7373$)⇌⫙⪟$7080$⨚⇆$1198$))⋕⪉⪜(((⨣⨃⇪$1643$)⋅⇍$1370$⫢⨠$2703$)⫢⨠($1123$⊹∫⫚$7202$⩨($1611$⨁⊸⫻)))","expression":"((↹⩛4355⫞⩸⩒↹⩛53421⫔⩽⩺↹⩛10115⫗⊷⫓↹⩛43035)⨓((⩦⩻⨪↹⩛54045)⇌⫙⪟↹⩛52440⨚⇆↹⩛5314))⋕⪉⪜(((⨣⨃⇪↹⩛11335)⋅⇍↹⩛10202⫢⨠↹⩛20303)⫢⨠(↹⩛5111⊹∫⫚↹⩛53202⩨(↹⩛11243⨁⊸⫻)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70726,"operation_count":15,"complexity_ratio":4715.066666666667,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1007,"base":6},"right_expr":{"type":"numeric_atoms","value":7285,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1343,"base":6},"right_expr":{"type":"numeric_atoms","value":5855,"base":6}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7373,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7080,"base":6},"right_expr":{"type":"numeric_atoms","value":1198,"base":6}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1643,"base":6}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1370,"base":6},"right_expr":{"type":"numeric_atoms","value":2703,"base":6}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1123,"base":6},"right_expr":{"type":"numeric_atoms","value":7202,"base":6}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1611,"base":6}}}}},"used_operators":["z6LnFrNh4i","3ViojmjbAp","i9eR4S00cU","XGcMNugi78","zashukvMKz","AFVx7xoS7T","2td37pGCOC","lwHaAYXP2r","xlXykHWxX1","AdZkA7nFnk","AcOhelriW5","2DlMacCsIx","uWAJUKEvyW","glklzrTFfD"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛540","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=7285","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=7285, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7285","layer":3},{"info":"number node, value=1343","layer":4},{"info":"number node, value=5855","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=5855, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=7285, right_input=-134, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=7373","layer":4},{"info":"compute unary expreesion, input=7373, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7373","layer":3},{"info":"number node, value=7080","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=7080, right_input=1198, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7373, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1643","layer":4},{"info":"compute unary expreesion, input=1643, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1370","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2703, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=160, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=7202","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=7202, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-100","layer":3},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1611","layer":3},{"info":"compute binary expreesion, left_input=-100, right_input=1611, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=51","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=51, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4355⫞⩸⩒↹⩛53421⫔⩽⩺↹⩛10115⫗⊷⫓↹⩛43035)⨓((⩦⩻⨪↹⩛54045)⇌⫙⪟↹⩛52440⨚⇆↹⩛5314))⋕⪉⪜(((⨣⨃⇪↹⩛11335)⋅⇍↹⩛10202⫢⨠↹⩛20303)⫢⨠(↹⩛5111⊹∫⫚↹⩛53202⩨(↹⩛11243⨁⊸⫻)))=↹⩛540","reverse_text":"↹⩛540=((↹⩛4355⫞⩸⩒↹⩛53421⫔⩽⩺↹⩛10115⫗⊷⫓↹⩛43035)⨓((⩦⩻⨪↹⩛54045)⇌⫙⪟↹⩛52440⨚⇆↹⩛5314))⋕⪉⪜(((⨣⨃⇪↹⩛11335)⋅⇍↹⩛10202⫢⨠↹⩛20303)⫢⨠(↹⩛5111⊹∫⫚↹⩛53202⩨(↹⩛11243⨁⊸⫻)))","cot":[{"info":"↹⩛4355⫞⩸⩒↹⩛53421=↹⩛53421","layer":3},{"info":"↹⩛10115⫗⊷⫓↹⩛43035=↹⩛-342","layer":3},{"info":"↹⩛53421⫔⩽⩺↹⩛-342=NaN","layer":2},{"info":"⩦⩻⨪↹⩛54045=↹⩛54045","layer":3},{"info":"↹⩛52440⨚⇆↹⩛5314=NaN","layer":3},{"info":"↹⩛54045⇌⫙⪟NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⨣⨃⇪↹⩛11335=↹⩛10301","layer":3},{"info":"↹⩛10202⫢⨠↹⩛20303=↹⩛424","layer":3},{"info":"↹⩛10301⋅⇍↹⩛424=↹⩛-34","layer":2},{"info":"↹⩛5111⊹∫⫚↹⩛53202=↹⩛-244","layer":3},{"info":"↹⩛11243⨁⊸⫻=↹⩛11243","layer":3},{"info":"↹⩛-244⩨↹⩛11243=↹⩛123","layer":2},{"info":"↹⩛-34⫢⨠↹⩛123=↹⩛424","layer":1},{"info":"NaN⋕⪉⪜↹⩛424=↹⩛540","layer":0}]} +{"id":304,"expression_no_base_symbol":"(($2116$↱$2474$)⇐≅)≴⪞⇿((⨵$2076$)⨀⨒)⫒⫫(($5480$⨼⩣$3633$)⩅⪻⪻)⩦($5448$↳∿⪆$3767$∽(-$1103$))","expression":"((↹⩛13444↱↹⩛15242)⇐≅)≴⪞⇿((⨵↹⩛13340)⨀⨒)⫒⫫((↹⩛41212⨼⩣↹⩛24453)⩅⪻⪻)⩦(↹⩛41120↳∿⪆↹⩛25235∽(-↹⩛5035))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9235,"operation_count":12,"complexity_ratio":769.5833333333334,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2116,"base":6},"right_expr":{"type":"numeric_atoms","value":2474,"base":6}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2076,"base":6}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5480,"base":6},"right_expr":{"type":"numeric_atoms","value":3633,"base":6}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5448,"base":6},"right_expr":{"type":"numeric_atoms","value":3767,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1103,"base":6}}}}},"used_operators":["6Ko8hGgeMq","lvlrscuwVU","wEfv7U73WA","SR5kFfdi6N","j6NVkjMzuk","Tl3Y52tvF8","0kmYd0q39Y","kHoXpA7yos","JxwMv5le6e","y4ImoPnbV5","Cw4SuJJGHO","t8gj7n24qd"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2116","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=2474, 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=-6900","layer":3},{"info":"compute unary expreesion, input=-6900, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=6427","layer":2},{"info":"number node, value=2076","layer":4},{"info":"compute unary expreesion, input=2076, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-17817","layer":3},{"info":"compute unary expreesion, input=-17817, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":2},{"info":"compute binary expreesion, left_input=6427, right_input=-2407, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=75715079","layer":1},{"info":"number node, value=5480","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=3633, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"number node, value=5448","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=5448, right_input=3767, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1103, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7958","layer":1},{"info":"compute binary expreesion, left_input=75715079, right_input=7958, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13444↱↹⩛15242)⇐≅)≴⪞⇿((⨵↹⩛13340)⨀⨒)⫒⫫((↹⩛41212⨼⩣↹⩛24453)⩅⪻⪻)⩦(↹⩛41120↳∿⪆↹⩛25235∽(-↹⩛5035))=NaN","reverse_text":"NaN=((↹⩛13444↱↹⩛15242)⇐≅)≴⪞⇿((⨵↹⩛13340)⨀⨒)⫒⫫((↹⩛41212⨼⩣↹⩛24453)⩅⪻⪻)⩦(↹⩛41120↳∿⪆↹⩛25235∽(-↹⩛5035))","cot":[{"info":"↹⩛13444↱↹⩛15242=↹⩛-51540","layer":3},{"info":"↹⩛-51540⇐≅=↹⩛45431","layer":2},{"info":"⨵↹⩛13340=↹⩛-214253","layer":3},{"info":"↹⩛-214253⨀⨒=↹⩛-15051","layer":2},{"info":"↹⩛45431≴⪞⇿↹⩛-15051=↹⩛11302500435","layer":1},{"info":"↹⩛41212⨼⩣↹⩛24453=NaN","layer":3},{"info":"NaN⩅⪻⪻=↹⩛30231","layer":2},{"info":"↹⩛41120↳∿⪆↹⩛25235=NaN","layer":3},{"info":"-↹⩛5035=↹⩛-5035","layer":3},{"info":"NaN∽↹⩛-5035=NaN","layer":2},{"info":"↹⩛30231⩦NaN=↹⩛100502","layer":1},{"info":"↹⩛11302500435⫒⫫↹⩛100502=NaN","layer":0}]} +{"id":305,"expression_no_base_symbol":"($3578$≧⫂∧$1182$≣⋋)⊋(⨝⨆$2038$⪇≇⋚$4488$)≓∲(⨝⨆($7152$⊴$3797$)⩣⫁∢($2891$⩺⪪$2825$))","expression":"(↹⩛24322≧⫂∧↹⩛5250≣⋋)⊋(⨝⨆↹⩛13234⪇≇⋚↹⩛32440)≓∲(⨝⨆(↹⩛53040⊴↹⩛25325)⩣⫁∢(↹⩛21215⩺⪪↹⩛21025))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5719,"operation_count":10,"complexity_ratio":571.9,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3578,"base":6},"right_expr":{"type":"numeric_atoms","value":1182,"base":6}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2038,"base":6},"right_expr":{"type":"numeric_atoms","value":4488,"base":6}}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7152,"base":6},"right_expr":{"type":"numeric_atoms","value":3797,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2891,"base":6},"right_expr":{"type":"numeric_atoms","value":2825,"base":6}}}}},"used_operators":["s1XTVnmDOJ","W4tP9CfskL","Tcnh7f0tEr","Ph9nP6C5qx","bQ67fsrMVf","3sJ7IOPOlU","JDUIKTTSIa","Nsiff2A1zJ","uvdQJvN4PV"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3578","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=1182, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=709","layer":3},{"info":"compute unary expreesion, input=709, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=2038","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=4488, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-209, 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=-9634","layer":1},{"info":"number node, value=7152","layer":4},{"info":"number node, value=3797","layer":4},{"info":"compute binary expreesion, left_input=7152, right_input=3797, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2891","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=2825, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1954","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1954, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9634, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24322≧⫂∧↹⩛5250≣⋋)⊋(⨝⨆↹⩛13234⪇≇⋚↹⩛32440)≓∲(⨝⨆(↹⩛53040⊴↹⩛25325)⩣⫁∢(↹⩛21215⩺⪪↹⩛21025))=↹⩛151","reverse_text":"↹⩛151=(↹⩛24322≧⫂∧↹⩛5250≣⋋)⊋(⨝⨆↹⩛13234⪇≇⋚↹⩛32440)≓∲(⨝⨆(↹⩛53040⊴↹⩛25325)⩣⫁∢(↹⩛21215⩺⪪↹⩛21025))","cot":[{"info":"↹⩛24322≧⫂∧↹⩛5250=↹⩛3141","layer":3},{"info":"↹⩛3141≣⋋=↹⩛0","layer":2},{"info":"↹⩛13234⪇≇⋚↹⩛32440=↹⩛0","layer":3},{"info":"⨝⨆↹⩛0=↹⩛-545","layer":2},{"info":"↹⩛0⊋↹⩛-545=↹⩛-112334","layer":1},{"info":"↹⩛53040⊴↹⩛25325=NaN","layer":3},{"info":"↹⩛21215⩺⪪↹⩛21025=↹⩛-13014","layer":3},{"info":"NaN⩣⫁∢↹⩛-13014=NaN","layer":2},{"info":"⨝⨆NaN=NaN","layer":1},{"info":"↹⩛-112334≓∲NaN=↹⩛151","layer":0}]} +{"id":306,"expression_no_base_symbol":"≘(↨($6919$⪍↜⋙$1715$)⩌⋺(⇖$4682$))","expression":"≘(↨(↹⩛52011⪍↜⋙↹⩛11535)⩌⋺(⇖↹⩛33402))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":226,"operation_count":5,"complexity_ratio":45.2,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6919,"base":6},"right_expr":{"type":"numeric_atoms","value":1715,"base":6}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":4682,"base":6}}}}},"used_operators":["tcjXMdvYtA","jiX4gk2v2Q","g7Hmc5v1ko","L05ObWFQCd","tfWHHpNKUN"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rGHVDoGpnC","oZj3VtZNQx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6919","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=6919, right_input=1715, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=10408","layer":3},{"info":"number node, value=4682","layer":4},{"info":"compute unary expreesion, input=4682, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=10408, right_input=160, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10689","layer":2},{"info":"compute unary expreesion, input=-10689, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≘(↨(↹⩛52011⪍↜⋙↹⩛11535)⩌⋺(⇖↹⩛33402))=NaN","reverse_text":"NaN=≘(↨(↹⩛52011⪍↜⋙↹⩛11535)⩌⋺(⇖↹⩛33402))","cot":[{"info":"↹⩛52011⪍↜⋙↹⩛11535=↹⩛120104","layer":3},{"info":"⇖↹⩛33402=↹⩛424","layer":3},{"info":"↹⩛120104⩌⋺↹⩛424=↹⩛-121253","layer":2},{"info":"↨↹⩛-121253=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]} +{"id":307,"expression_no_base_symbol":"($6437$⩵∡$1025$≓∲$1042$≠≀$1460$)→⨶⪴(($1047$⊾⪯⋞$1343$)∀⊥⇻)⋻⩜⩜((⨵≀≌($1327$↰))⪥⨬⪅)","expression":"(↹⩛45445⩵∡↹⩛4425≓∲↹⩛4454≠≀↹⩛10432)→⨶⪴((↹⩛4503⊾⪯⋞↹⩛10115)∀⊥⇻)⋻⩜⩜((⨵≀≌(↹⩛10051↰))⪥⨬⪅)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7761,"operation_count":10,"complexity_ratio":776.1,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6437,"base":6},"right_expr":{"type":"numeric_atoms","value":1025,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1042,"base":6},"right_expr":{"type":"numeric_atoms","value":1460,"base":6}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1047,"base":6},"right_expr":{"type":"numeric_atoms","value":1343,"base":6}}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1327,"base":6}}}}},"used_operators":["oDCm7WA9JY","bF6eod5Gvf","s1XTVnmDOJ","Y7wcNGrDQJ","IwW236VD4Y","k4iM1060OG","HK0tfVPux8","zNRQejTB5A","srAu1WTS94","bl5wxAcryP"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","8w2t5hMYqp","9FxExcQeMw","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"↹⩛540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6437","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=6437, right_input=1025, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-11970","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1460, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1778","layer":3},{"info":"compute binary expreesion, left_input=-11970, right_input=-1778, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"number node, value=1047","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1343, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2260","layer":3},{"info":"compute unary expreesion, input=2260, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=102","layer":1},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1226","layer":3},{"info":"compute unary expreesion, input=1226, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3678","layer":2},{"info":"compute unary expreesion, input=-3678, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=102, right_input=-473, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=204","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45445⩵∡↹⩛4425≓∲↹⩛4454≠≀↹⩛10432)→⨶⪴((↹⩛4503⊾⪯⋞↹⩛10115)∀⊥⇻)⋻⩜⩜((⨵≀≌(↹⩛10051↰))⪥⨬⪅)=↹⩛540","reverse_text":"↹⩛540=(↹⩛45445⩵∡↹⩛4425≓∲↹⩛4454≠≀↹⩛10432)→⨶⪴((↹⩛4503⊾⪯⋞↹⩛10115)∀⊥⇻)⋻⩜⩜((⨵≀≌(↹⩛10051↰))⪥⨬⪅)","cot":[{"info":"↹⩛45445⩵∡↹⩛4425=↹⩛-131230","layer":3},{"info":"↹⩛4454≠≀↹⩛10432=↹⩛-12122","layer":3},{"info":"↹⩛-131230≓∲↹⩛-12122=↹⩛151","layer":2},{"info":"↹⩛4503⊾⪯⋞↹⩛10115=↹⩛14244","layer":3},{"info":"↹⩛14244∀⊥⇻=↹⩛0","layer":2},{"info":"↹⩛151→⨶⪴↹⩛0=↹⩛250","layer":1},{"info":"↹⩛10051↰=↹⩛5402","layer":3},{"info":"⨵≀≌↹⩛5402=↹⩛-25010","layer":2},{"info":"↹⩛-25010⪥⨬⪅=↹⩛-2105","layer":1},{"info":"↹⩛250⋻⩜⩜↹⩛-2105=↹⩛540","layer":0}]} +{"id":308,"expression_no_base_symbol":"⫟((↩⪖$1019$)⫸⇳$1350$⊬⨰$3619$)≴⪞⇿($1444$↹⊜$1706$)⪬($2149$⋥≓≎$2585$)","expression":"⫟((↩⪖↹⩛4415)⫸⇳↹⩛10130⊬⨰↹⩛24431)≴⪞⇿(↹⩛10404↹⊜↹⩛11522)⪬(↹⩛13541⋥≓≎↹⩛15545)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":684,"operation_count":8,"complexity_ratio":85.5,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1019,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1350,"base":6},"right_expr":{"type":"numeric_atoms","value":3619,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1444,"base":6},"right_expr":{"type":"numeric_atoms","value":1706,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2149,"base":6},"right_expr":{"type":"numeric_atoms","value":2585,"base":6}}}}},"used_operators":["z4E1FaHLuy","lvlrscuwVU","gx7XJ7hdpj","fG6uBQFnGz","s3Fd5m9Dh2","Ez1Nq5fNfI","9bazX3JMtO","Qy55tPpLXF"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛31422","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9096","layer":3},{"info":"number node, value=1350","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=3619, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14770","layer":3},{"info":"compute binary expreesion, left_input=-9096, right_input=14770, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=1444","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=1706, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-4032","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=2585, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3054","layer":3},{"info":"compute binary expreesion, left_input=-4032, right_input=3054, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4500","layer":1},{"info":"compute unary expreesion, input=-4500, 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=4262","layer":0}],"base":6,"result_base":6,"text":"⫟((↩⪖↹⩛4415)⫸⇳↹⩛10130⊬⨰↹⩛24431)≴⪞⇿(↹⩛10404↹⊜↹⩛11522)⪬(↹⩛13541⋥≓≎↹⩛15545)=↹⩛31422","reverse_text":"↹⩛31422=⫟((↩⪖↹⩛4415)⫸⇳↹⩛10130⊬⨰↹⩛24431)≴⪞⇿(↹⩛10404↹⊜↹⩛11522)⪬(↹⩛13541⋥≓≎↹⩛15545)","cot":[{"info":"↩⪖↹⩛4415=↹⩛-110040","layer":3},{"info":"↹⩛10130⊬⨰↹⩛24431=↹⩛152214","layer":3},{"info":"↹⩛-110040⫸⇳↹⩛152214=↹⩛0","layer":2},{"info":"↹⩛10404↹⊜↹⩛11522=↹⩛-30400","layer":3},{"info":"↹⩛13541⋥≓≎↹⩛15545=↹⩛22050","layer":3},{"info":"↹⩛-30400⪬↹⩛22050=↹⩛5414","layer":2},{"info":"↹⩛0≴⪞⇿↹⩛5414=↹⩛-32500","layer":1},{"info":"⫟↹⩛-32500=↹⩛31422","layer":0}]} +{"id":309,"expression_no_base_symbol":"(($1716$⫯⪬∳$2904$)∺≝⩲($8409$⪉⨛$2945$))↳≱(⩒∊($8897$⫰⋱$3402$))≨(($8438$∐⫣)≧⫂∧($7042$⩚⊴⇥$4073$))∊∟⩊($1113$⊾⪯⋞$1802$%($2892$⇋≉))","expression":"((↹⩛11540⫯⪬∳↹⩛21240)∺≝⩲(↹⩛102533⪉⨛↹⩛21345))↳≱(⩒∊(↹⩛105105⫰⋱↹⩛23430))≨((↹⩛103022∐⫣)≧⫂∧(↹⩛52334⩚⊴⇥↹⩛30505))∊∟⩊(↹⩛5053⊾⪯⋞↹⩛12202%(↹⩛21220⇋≉))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":275,"operation_count":14,"complexity_ratio":19.642857142857142,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1716,"base":6},"right_expr":{"type":"numeric_atoms","value":2904,"base":6}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8409,"base":6},"right_expr":{"type":"numeric_atoms","value":2945,"base":6}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":8897,"base":6},"right_expr":{"type":"numeric_atoms","value":3402,"base":6}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":8438,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7042,"base":6},"right_expr":{"type":"numeric_atoms","value":4073,"base":6}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1113,"base":6},"right_expr":{"type":"numeric_atoms","value":1802,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2892,"base":6}}}}},"used_operators":["0KMCeP1Jsh","JwTKLfZU96","KPf6cnQVty","d7ASUq0ydm","EWw2JM7wp4","qazvmhNBbN","6o9Blt3TJ6","ddLRYrp01A","Ph9nP6C5qx","4CyGpkTkEk","NTOWxs364D","k8jYdgA6NY","HK0tfVPux8","XIabStNQrY"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛15244","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1716","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=2904, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5709","layer":3},{"info":"number node, value=8409","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=8409, right_input=2945, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=22497","layer":3},{"info":"compute binary expreesion, left_input=5709, right_input=22497, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=8897","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=8897, right_input=3402, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-8864","layer":3},{"info":"compute unary expreesion, input=-8864, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-27865","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-27865, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=8438","layer":4},{"info":"compute unary expreesion, input=8438, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=7042","layer":4},{"info":"number node, value=4073","layer":4},{"info":"compute binary expreesion, left_input=7042, right_input=4073, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11236","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=-11236, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11787","layer":2},{"info":"number node, value=1113","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1802, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3178","layer":3},{"info":"number node, value=2892","layer":4},{"info":"compute unary expreesion, input=2892, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5686","layer":3},{"info":"compute binary expreesion, left_input=3178, right_input=5686, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3178","layer":2},{"info":"compute binary expreesion, left_input=11787, right_input=3178, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3178","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3178, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11540⫯⪬∳↹⩛21240)∺≝⩲(↹⩛102533⪉⨛↹⩛21345))↳≱(⩒∊(↹⩛105105⫰⋱↹⩛23430))≨((↹⩛103022∐⫣)≧⫂∧(↹⩛52334⩚⊴⇥↹⩛30505))∊∟⩊(↹⩛5053⊾⪯⋞↹⩛12202%(↹⩛21220⇋≉))=↹⩛15244","reverse_text":"↹⩛15244=((↹⩛11540⫯⪬∳↹⩛21240)∺≝⩲(↹⩛102533⪉⨛↹⩛21345))↳≱(⩒∊(↹⩛105105⫰⋱↹⩛23430))≨((↹⩛103022∐⫣)≧⫂∧(↹⩛52334⩚⊴⇥↹⩛30505))∊∟⩊(↹⩛5053⊾⪯⋞↹⩛12202%(↹⩛21220⇋≉))","cot":[{"info":"↹⩛11540⫯⪬∳↹⩛21240=↹⩛42233","layer":3},{"info":"↹⩛102533⪉⨛↹⩛21345=↹⩛252053","layer":3},{"info":"↹⩛42233∺≝⩲↹⩛252053=↹⩛424","layer":2},{"info":"↹⩛105105⫰⋱↹⩛23430=↹⩛-105012","layer":3},{"info":"⩒∊↹⩛-105012=↹⩛-333001","layer":2},{"info":"↹⩛424↳≱↹⩛-333001=↹⩛0","layer":1},{"info":"↹⩛103022∐⫣=↹⩛2315","layer":3},{"info":"↹⩛52334⩚⊴⇥↹⩛30505=↹⩛-124004","layer":3},{"info":"↹⩛2315≧⫂∧↹⩛-124004=↹⩛130323","layer":2},{"info":"↹⩛5053⊾⪯⋞↹⩛12202=↹⩛22414","layer":3},{"info":"↹⩛21220⇋≉=↹⩛42154","layer":3},{"info":"↹⩛22414%↹⩛42154=↹⩛22414","layer":2},{"info":"↹⩛130323∊∟⩊↹⩛22414=↹⩛22414","layer":1},{"info":"↹⩛0≨↹⩛22414=↹⩛15244","layer":0}]} +{"id":310,"expression_no_base_symbol":"($3395$⨼⩣$2550$⩧⪆($2782$∲⫓$5647$))⇡⇂($1047$⨽∌$2377$⩷∴$1473$⨻⩈⩔$1501$)⩹((⨡↴$8043$)⊨($2301$≃$2021$))⊬⨰(⫵↿$2934$⫒⫫$2050$)","expression":"(↹⩛23415⨼⩣↹⩛15450⩧⪆(↹⩛20514∲⫓↹⩛42051))⇡⇂(↹⩛4503⨽∌↹⩛15001⩷∴↹⩛10453⨻⩈⩔↹⩛10541)⩹((⨡↴↹⩛101123)⊨(↹⩛14353≃↹⩛13205))⊬⨰(⫵↿↹⩛21330⫒⫫↹⩛13254)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37940,"operation_count":14,"complexity_ratio":2710.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3395,"base":6},"right_expr":{"type":"numeric_atoms","value":2550,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2782,"base":6},"right_expr":{"type":"numeric_atoms","value":5647,"base":6}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1047,"base":6},"right_expr":{"type":"numeric_atoms","value":2377,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1473,"base":6},"right_expr":{"type":"numeric_atoms","value":1501,"base":6}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":8043,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2301,"base":6},"right_expr":{"type":"numeric_atoms","value":2021,"base":6}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2934,"base":6},"right_expr":{"type":"numeric_atoms","value":2050,"base":6}}}}},"used_operators":["2Wsdkap16l","UMwdvZNt44","Ikt5ks8PT7","JxwMv5le6e","i8ToyICDmI","9FxExcQeMw","9samAPKr6k","nEsXyWgiOK","s3Fd5m9Dh2","vg4gO5BX6G","liw5iZPkLH","YbVcJGFEVW","ivGwdmUAux","6Ko8hGgeMq"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eewbuw0ToL","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","P8v4zCKN1o","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"↹⩛442441","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3395","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=2550, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2782","layer":4},{"info":"number node, value=5647","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=5647, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"number node, value=1047","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=2377, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1473","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=1501, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3383","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3383, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6798","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6798, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":1},{"info":"number node, value=8043","layer":4},{"info":"compute unary expreesion, input=8043, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=9092","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=2021, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-9244","layer":3},{"info":"compute binary expreesion, left_input=9092, right_input=-9244, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=37399","layer":2},{"info":"number node, value=2934","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=2050, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=37399, right_input=137, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=36891","layer":1},{"info":"compute binary expreesion, left_input=219356, right_input=36891, 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=36889","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23415⨼⩣↹⩛15450⩧⪆(↹⩛20514∲⫓↹⩛42051))⇡⇂(↹⩛4503⨽∌↹⩛15001⩷∴↹⩛10453⨻⩈⩔↹⩛10541)⩹((⨡↴↹⩛101123)⊨(↹⩛14353≃↹⩛13205))⊬⨰(⫵↿↹⩛21330⫒⫫↹⩛13254)=↹⩛442441","reverse_text":"↹⩛442441=(↹⩛23415⨼⩣↹⩛15450⩧⪆(↹⩛20514∲⫓↹⩛42051))⇡⇂(↹⩛4503⨽∌↹⩛15001⩷∴↹⩛10453⨻⩈⩔↹⩛10541)⩹((⨡↴↹⩛101123)⊨(↹⩛14353≃↹⩛13205))⊬⨰(⫵↿↹⩛21330⫒⫫↹⩛13254)","cot":[{"info":"↹⩛23415⨼⩣↹⩛15450=NaN","layer":3},{"info":"↹⩛20514∲⫓↹⩛42051=↹⩛0","layer":3},{"info":"NaN⩧⪆↹⩛0=↹⩛0","layer":2},{"info":"↹⩛4503⨽∌↹⩛15001=↹⩛0","layer":3},{"info":"↹⩛10453⨻⩈⩔↹⩛10541=↹⩛23355","layer":3},{"info":"↹⩛0⩷∴↹⩛23355=↹⩛-51250","layer":2},{"info":"↹⩛0⇡⇂↹⩛-51250=↹⩛4411312","layer":1},{"info":"⨡↴↹⩛101123=↹⩛110032","layer":3},{"info":"↹⩛14353≃↹⩛13205=↹⩛-110444","layer":3},{"info":"↹⩛110032⊨↹⩛-110444=↹⩛445051","layer":2},{"info":"↹⩛21330⫒⫫↹⩛13254=NaN","layer":3},{"info":"⫵↿NaN=↹⩛345","layer":2},{"info":"↹⩛445051⊬⨰↹⩛345=↹⩛442443","layer":1},{"info":"↹⩛4411312⩹↹⩛442443=↹⩛442441","layer":0}]} +{"id":311,"expression_no_base_symbol":"≯(⇵⪽($4520$⇌⫙⪟$1489$))⪎↠(⊽($1686$⩺⪪$4025$))","expression":"≯(⇵⪽(↹⩛32532⇌⫙⪟↹⩛10521))⪎↠(⊽(↹⩛11450⩺⪪↹⩛30345))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12930,"operation_count":6,"complexity_ratio":2155.0,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4520,"base":6},"right_expr":{"type":"numeric_atoms","value":1489,"base":6}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1686,"base":6},"right_expr":{"type":"numeric_atoms","value":4025,"base":6}}}}},"used_operators":["keWfFq85dY","3tVxb0NHM4","ZGCBLdVRRX","AFVx7xoS7T","QxG7OkqoLX","uvdQJvN4PV"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","U7g4x0WXJJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4520","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=4520, right_input=1489, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=1686","layer":4},{"info":"number node, value=4025","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=4025, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≯(⇵⪽(↹⩛32532⇌⫙⪟↹⩛10521))⪎↠(⊽(↹⩛11450⩺⪪↹⩛30345))=NaN","reverse_text":"NaN=≯(⇵⪽(↹⩛32532⇌⫙⪟↹⩛10521))⪎↠(⊽(↹⩛11450⩺⪪↹⩛30345))","cot":[{"info":"↹⩛32532⇌⫙⪟↹⩛10521=↹⩛305","layer":3},{"info":"⇵⪽↹⩛305=NaN","layer":2},{"info":"↹⩛11450⩺⪪↹⩛30345=↹⩛-12230","layer":3},{"info":"⊽↹⩛-12230=↹⩛0","layer":2},{"info":"NaN⪎↠↹⩛0=NaN","layer":1},{"info":"≯NaN=NaN","layer":0}]} +{"id":312,"expression_no_base_symbol":"(($5186$⪭≯$1217$≭$1306$∀⇚≩$1946$)⇯⋐)⋹⋡⊁(($5942$⩷∴$3071$)⪒⊣⊆(⨑⩽⪐$1028$)⫡⨏($4280$∷$4457$)⨐$1765$⇡⇂$1774$)","expression":"((↹⩛40002⪭≯↹⩛5345≭↹⩛10014∀⇚≩↹⩛13002)⇯⋐)⋹⋡⊁((↹⩛43302⩷∴↹⩛22115)⪒⊣⊆(⨑⩽⪐↹⩛4432)⫡⨏(↹⩛31452∷↹⩛32345)⨐↹⩛12101⇡⇂↹⩛12114)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":80887,"operation_count":12,"complexity_ratio":6740.583333333333,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5186,"base":6},"right_expr":{"type":"numeric_atoms","value":1217,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1306,"base":6},"right_expr":{"type":"numeric_atoms","value":1946,"base":6}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5942,"base":6},"right_expr":{"type":"numeric_atoms","value":3071,"base":6}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1028,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4280,"base":6},"right_expr":{"type":"numeric_atoms","value":4457,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1765,"base":6},"right_expr":{"type":"numeric_atoms","value":1774,"base":6}}}}},"used_operators":["As8RqfVLgs","LkLIoiE525","rxpJgHHUmx","XAx5wpdLa6","LRNGc0VcxI","QMFrweE19q","eRqsBgTDFp","9FxExcQeMw","AF7qkfDlqP","Noe24qw2ks","D3AQDKkPcf","UMwdvZNt44"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","AHs5Up7iyr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"↹⩛512525","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5186","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=5186, right_input=1217, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1946, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":1},{"info":"number node, value=5942","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=5942, right_input=3071, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5710","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-755","layer":3},{"info":"compute binary expreesion, left_input=5710, right_input=-755, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=11420","layer":2},{"info":"number node, value=4280","layer":4},{"info":"number node, value=4457","layer":4},{"info":"compute binary expreesion, left_input=4280, right_input=4457, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4457","layer":3},{"info":"number node, value=1765","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=1774, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4457, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8914","layer":2},{"info":"compute binary expreesion, left_input=11420, right_input=-8914, 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=40055","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=40055, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=40805","layer":0}],"base":6,"result_base":6,"text":"((↹⩛40002⪭≯↹⩛5345≭↹⩛10014∀⇚≩↹⩛13002)⇯⋐)⋹⋡⊁((↹⩛43302⩷∴↹⩛22115)⪒⊣⊆(⨑⩽⪐↹⩛4432)⫡⨏(↹⩛31452∷↹⩛32345)⨐↹⩛12101⇡⇂↹⩛12114)=↹⩛512525","reverse_text":"↹⩛512525=((↹⩛40002⪭≯↹⩛5345≭↹⩛10014∀⇚≩↹⩛13002)⇯⋐)⋹⋡⊁((↹⩛43302⩷∴↹⩛22115)⪒⊣⊆(⨑⩽⪐↹⩛4432)⫡⨏(↹⩛31452∷↹⩛32345)⨐↹⩛12101⇡⇂↹⩛12114)","cot":[{"info":"↹⩛40002⪭≯↹⩛5345=NaN","layer":3},{"info":"↹⩛10014∀⇚≩↹⩛13002=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"NaN⇯⋐=NaN","layer":1},{"info":"↹⩛43302⩷∴↹⩛22115=↹⩛42234","layer":3},{"info":"⨑⩽⪐↹⩛4432=↹⩛-3255","layer":3},{"info":"↹⩛42234⪒⊣⊆↹⩛-3255=↹⩛124512","layer":2},{"info":"↹⩛31452∷↹⩛32345=↹⩛32345","layer":3},{"info":"↹⩛12101⇡⇂↹⩛12114=NaN","layer":3},{"info":"↹⩛32345⨐NaN=↹⩛-105134","layer":2},{"info":"↹⩛124512⫡⨏↹⩛-105134=↹⩛505235","layer":1},{"info":"NaN⋹⋡⊁↹⩛505235=↹⩛512525","layer":0}]} +{"id":313,"expression_no_base_symbol":"((↞≼($6171$⪍↜⋙$4621$))∇⊂⋱(($3173$⪛⫼$4442$)⇋≉))⨼⩣((($1202$⊔$2437$)⪭$8547$⊉↱≁$6743$)+⪬∐(⊽($1493$∙∹∝$1060$)))","expression":"((↞≼(↹⩛44323⪍↜⋙↹⩛33221))∇⊂⋱((↹⩛22405⪛⫼↹⩛32322)⇋≉))⨼⩣(((↹⩛5322⊔↹⩛15141)⪭↹⩛103323⊉↱≁↹⩛51115)+⪬∐(⊽(↹⩛10525∙∹∝↹⩛4524)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":785,"operation_count":12,"complexity_ratio":65.41666666666667,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6171,"base":6},"right_expr":{"type":"numeric_atoms","value":4621,"base":6}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3173,"base":6},"right_expr":{"type":"numeric_atoms","value":4442,"base":6}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1202,"base":6},"right_expr":{"type":"numeric_atoms","value":2437,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8547,"base":6},"right_expr":{"type":"numeric_atoms","value":6743,"base":6}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1493,"base":6},"right_expr":{"type":"numeric_atoms","value":1060,"base":6}}}}},"used_operators":["JxwMv5le6e","nhYeJWJD5X","DE7zCoGJt9","L05ObWFQCd","XIabStNQrY","hyuBjUqXlG","2GS7woTJqF","j9kHMeSvPp","E4l6HwMY31","w2P8NbNXyL","QxG7OkqoLX","HmxsFra2vL"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","g55IO6H4Gj","D4vGDi5EA2","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6171","layer":4},{"info":"number node, value=4621","layer":4},{"info":"compute binary expreesion, left_input=6171, right_input=4621, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3100","layer":3},{"info":"compute unary expreesion, input=3100, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=24386","layer":2},{"info":"number node, value=3173","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=4442, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1838","layer":2},{"info":"compute binary expreesion, left_input=24386, right_input=1838, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=48226","layer":1},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2437, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=12189","layer":3},{"info":"number node, value=8547","layer":4},{"info":"number node, value=6743","layer":4},{"info":"compute binary expreesion, left_input=8547, right_input=6743, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=44960","layer":3},{"info":"compute binary expreesion, left_input=12189, right_input=44960, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=1060, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=1522, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15","layer":1},{"info":"compute binary expreesion, left_input=48226, right_input=-15, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↞≼(↹⩛44323⪍↜⋙↹⩛33221))∇⊂⋱((↹⩛22405⪛⫼↹⩛32322)⇋≉))⨼⩣(((↹⩛5322⊔↹⩛15141)⪭↹⩛103323⊉↱≁↹⩛51115)+⪬∐(⊽(↹⩛10525∙∹∝↹⩛4524)))=NaN","reverse_text":"NaN=((↞≼(↹⩛44323⪍↜⋙↹⩛33221))∇⊂⋱((↹⩛22405⪛⫼↹⩛32322)⇋≉))⨼⩣(((↹⩛5322⊔↹⩛15141)⪭↹⩛103323⊉↱≁↹⩛51115)+⪬∐(⊽(↹⩛10525∙∹∝↹⩛4524)))","cot":[{"info":"↹⩛44323⪍↜⋙↹⩛33221=↹⩛22204","layer":3},{"info":"↞≼↹⩛22204=↹⩛304522","layer":2},{"info":"↹⩛22405⪛⫼↹⩛32322=↹⩛4252","layer":3},{"info":"↹⩛4252⇋≉=↹⩛12302","layer":2},{"info":"↹⩛304522∇⊂⋱↹⩛12302=↹⩛1011134","layer":1},{"info":"↹⩛5322⊔↹⩛15141=↹⩛132233","layer":3},{"info":"↹⩛103323⊉↱≁↹⩛51115=↹⩛544052","layer":3},{"info":"↹⩛132233⪭↹⩛544052=↹⩛5","layer":2},{"info":"↹⩛10525∙∹∝↹⩛4524=↹⩛0","layer":3},{"info":"⊽↹⩛0=↹⩛11014","layer":2},{"info":"↹⩛5+⪬∐↹⩛11014=↹⩛-23","layer":1},{"info":"↹⩛1011134⨼⩣↹⩛-23=NaN","layer":0}]} +{"id":314,"expression_no_base_symbol":"(⇖⫷⫕($4991$⫸⇳$6412$∙∹∝(⫛⫱⨽$2334$)))≎⪠(($1495$⊀⩕)⨟⋌⩍$3116$⨂≜$1647$⨒$3154$⪮%⊝$5663$⪶≀⋏$7625$⊝⪿⪼$4829$)","expression":"(⇖⫷⫕(↹⩛35035⫸⇳↹⩛45404∙∹∝(⫛⫱⨽↹⩛14450)))≎⪠((↹⩛10531⊀⩕)⨟⋌⩍↹⩛22232⨂≜↹⩛11343⨒↹⩛22334⪮%⊝↹⩛42115⪶≀⋏↹⩛55145⊝⪿⪼↹⩛34205)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25719,"operation_count":12,"complexity_ratio":2143.25,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4991,"base":6},"right_expr":{"type":"numeric_atoms","value":6412,"base":6}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2334,"base":6}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1495,"base":6}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3116,"base":6},"right_expr":{"type":"numeric_atoms","value":1647,"base":6}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3154,"base":6},"right_expr":{"type":"numeric_atoms","value":5663,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":7625,"base":6},"right_expr":{"type":"numeric_atoms","value":4829,"base":6}}}}},"used_operators":["aNhz54LH3e","UHmRx3INFg","HmxsFra2vL","gx7XJ7hdpj","DlLNRPXxWL","y75s1iXyHd","rGHVDoGpnC","r0FS3hW4cC","k1SHOSEABc","zR4jO40bMj","IWmyXbctLI","3Oe9XWJUTD"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Tcnh7f0tEr","rGHVDoGpnC","nhYeJWJD5X","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4991","layer":4},{"info":"number node, value=6412","layer":4},{"info":"compute binary expreesion, left_input=4991, right_input=6412, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2334","layer":4},{"info":"compute unary expreesion, input=2334, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=3116","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=1647, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3154","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=5663, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6624","layer":3},{"info":"number node, value=7625","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=7625, right_input=4829, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=99311","layer":3},{"info":"compute binary expreesion, left_input=6624, right_input=99311, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-218726","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-218726, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(⇖⫷⫕(↹⩛35035⫸⇳↹⩛45404∙∹∝(⫛⫱⨽↹⩛14450)))≎⪠((↹⩛10531⊀⩕)⨟⋌⩍↹⩛22232⨂≜↹⩛11343⨒↹⩛22334⪮%⊝↹⩛42115⪶≀⋏↹⩛55145���⪿⪼↹⩛34205)=↹⩛230314","reverse_text":"↹⩛230314=(⇖⫷⫕(↹⩛35035⫸⇳↹⩛45404∙∹∝(⫛⫱⨽↹⩛14450)))≎⪠((↹⩛10531⊀⩕)⨟⋌⩍↹⩛22232⨂≜↹⩛11343⨒↹⩛22334⪮%⊝↹⩛42115⪶≀⋏↹⩛55145⊝⪿⪼↹⩛34205)","cot":[{"info":"↹⩛35035⫸⇳↹⩛45404=↹⩛0","layer":3},{"info":"⫛⫱⨽↹⩛14450=↹⩛0","layer":3},{"info":"↹⩛0∙∹∝↹⩛0=↹⩛0","layer":2},{"info":"⇖⫷⫕↹⩛0=↹⩛21022","layer":1},{"info":"↹⩛10531⊀⩕=↹⩛0","layer":3},{"info":"↹⩛22232⨂≜↹⩛11343=NaN","layer":3},{"info":"↹⩛0⨟⋌⩍NaN=NaN","layer":2},{"info":"↹⩛22334⪮%⊝↹⩛42115=↹⩛50400","layer":3},{"info":"↹⩛55145⊝⪿⪼↹⩛34205=↹⩛2043435","layer":3},{"info":"↹⩛50400⪶≀⋏↹⩛2043435=↹⩛-4404342","layer":2},{"info":"NaN⨒↹⩛-4404342=NaN","layer":1},{"info":"↹⩛21022≎⪠NaN=↹⩛230314","layer":0}]} +{"id":315,"expression_no_base_symbol":"((∓⪦($1031$⇮⋭$3301$))⪶≀⋏($2756$⨚⇆$1799$)⪛(≀↧⇸$2956$))⫁⪎(((⨦⪝$5686$)⩺⪪($3630$⫌⩉⩟$2417$))⊬⫿⊭)","expression":"((∓⪦(↹⩛4435⇮⋭↹⩛23141))⪶≀⋏(↹⩛20432⨚⇆↹⩛12155)⪛(≀↧⇸↹⩛21404))⫁⪎(((⨦⪝↹⩛42154)⩺⪪(↹⩛24450⫌⩉⩟↹⩛15105))⊬⫿⊭)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31395,"operation_count":11,"complexity_ratio":2854.090909090909,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1031,"base":6},"right_expr":{"type":"numeric_atoms","value":3301,"base":6}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2756,"base":6},"right_expr":{"type":"numeric_atoms","value":1799,"base":6}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2956,"base":6}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":5686,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3630,"base":6},"right_expr":{"type":"numeric_atoms","value":2417,"base":6}}}}},"used_operators":["xRrnTEsQ6j","zR4jO40bMj","D309nIvmXG","vkpjKywKVM","uFcxV4UQCh","lwHaAYXP2r","ljTHtUsqzn","v0DYgG9ikt","uvdQJvN4PV","SUjycxNXIR","XIIwhv8d0m"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=3301","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=3301, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2592","layer":2},{"info":"number node, value=2756","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=1799, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=2956","layer":4},{"info":"compute unary expreesion, input=2956, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5912","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5912, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2592, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=5686","layer":4},{"info":"compute unary expreesion, input=5686, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=3630","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=2417, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=-50, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute unary expreesion, input=-1818, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=2030","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2030, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((∓⪦(↹⩛4435⇮⋭↹⩛23141))⪶≀⋏(↹⩛20432⨚⇆↹⩛12155)⪛(≀↧⇸↹⩛21404))⫁⪎(((⨦⪝↹⩛42154)⩺⪪(↹⩛24450⫌⩉⩟↹⩛15105))⊬⫿⊭)=NaN","reverse_text":"NaN=((∓⪦(↹⩛4435⇮⋭↹⩛23141))⪶≀⋏(↹⩛20432⨚⇆↹⩛12155)⪛(≀↧⇸↹⩛21404))⫁⪎(((⨦⪝↹⩛42154)⩺⪪(↹⩛24450⫌⩉⩟↹⩛15105))⊬⫿⊭)","cot":[{"info":"↹⩛4435⇮⋭↹⩛23141=↹⩛-2105","layer":3},{"info":"∓⪦↹⩛-2105=↹⩛-20000","layer":2},{"info":"↹⩛20432⨚⇆↹⩛12155=NaN","layer":3},{"info":"≀↧⇸↹⩛21404=↹⩛43212","layer":3},{"info":"NaN⪛↹⩛43212=NaN","layer":2},{"info":"↹⩛-20000⪶≀⋏NaN=NaN","layer":1},{"info":"⨦⪝↹⩛42154=↹⩛-12420","layer":3},{"info":"↹⩛24450⫌⩉⩟↹⩛15105=↹⩛-122","layer":3},{"info":"↹⩛-12420⩺⪪↹⩛-122=↹⩛-12230","layer":2},{"info":"↹⩛-12230⊬⫿⊭=↹⩛13222","layer":1},{"info":"NaN⫁⪎↹⩛13222=NaN","layer":0}]} +{"id":316,"expression_no_base_symbol":"(((⨈⫕$1104$)⫌⩉⩟$1002$∣$4833$)⫸⇳(($6624$⨚⇆$3983$)∧))↓(($4284$≓∲$4800$)⩚⊴⇥($5705$↸$1080$))↓(($1135$∖$1959$)≒∊(∮$5064$))","expression":"(((⨈⫕↹⩛5040)⫌⩉⩟↹⩛4350∣↹⩛34213)⫸⇳((↹⩛50400⨚⇆↹⩛30235)∧))↓((↹⩛31500≓∲↹⩛34120)⩚⊴⇥(↹⩛42225↸↹⩛5000))↓((↹⩛5131∖↹⩛13023)≒∊(∮↹⩛35240))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":65319,"operation_count":14,"complexity_ratio":4665.642857142857,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1104,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1002,"base":6},"right_expr":{"type":"numeric_atoms","value":4833,"base":6}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6624,"base":6},"right_expr":{"type":"numeric_atoms","value":3983,"base":6}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4284,"base":6},"right_expr":{"type":"numeric_atoms","value":4800,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5705,"base":6},"right_expr":{"type":"numeric_atoms","value":1080,"base":6}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1135,"base":6},"right_expr":{"type":"numeric_atoms","value":1959,"base":6}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":5064,"base":6}}}}},"used_operators":["Af076pWI7l","gx7XJ7hdpj","XIIwhv8d0m","megm06wKyl","PPChnnnBFF","z63VuFQld9","lwHaAYXP2r","NTOWxs364D","s1XTVnmDOJ","1eCjFl0mb9","5KTvxBwnZo","tXD093vOjl","CqXKPLVYql"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=4833, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1002","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1002, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=6624","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=6624, right_input=3983, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=4284","layer":4},{"info":"number node, value=4800","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=4800, 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=43623","layer":3},{"info":"number node, value=5705","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=1080, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5705","layer":3},{"info":"compute binary expreesion, left_input=43623, right_input=5705, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-49449","layer":2},{"info":"number node, value=1135","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1959, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5064","layer":4},{"info":"compute unary expreesion, input=5064, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"compute binary expreesion, left_input=-49449, right_input=484, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":6,"result_base":6,"text":"(((⨈⫕↹⩛5040)⫌⩉⩟↹⩛4350∣↹⩛34213)⫸⇳((↹⩛50400⨚⇆↹⩛30235)∧))↓((↹⩛31500≓∲↹⩛34120)⩚⊴⇥(↹⩛42225↸↹⩛5000))↓((↹⩛5131∖↹⩛13023)≒∊(∮↹⩛35240))=↹⩛-342","reverse_text":"↹⩛-342=(((⨈⫕↹⩛5040)⫌⩉⩟↹⩛4350∣↹⩛34213)⫸⇳((↹⩛50400⨚⇆↹⩛30235)∧))↓((↹⩛31500≓∲↹⩛34120)⩚⊴⇥(↹⩛42225↸↹⩛5000))↓((↹⩛5131∖↹⩛13023)≒∊(∮↹⩛35240))","cot":[{"info":"⨈⫕↹⩛5040=↹⩛-33","layer":3},{"info":"↹⩛4350∣↹⩛34213=↹⩛4350","layer":3},{"info":"↹⩛-33⫌⩉⩟↹⩛4350=↹⩛-122","layer":2},{"info":"↹⩛50400⨚⇆↹⩛30235=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"↹⩛-122⫸⇳NaN=↹⩛0","layer":1},{"info":"↹⩛31500≓∲↹⩛34120=↹⩛533543","layer":3},{"info":"↹⩛42225↸↹⩛5000=↹⩛42225","layer":3},{"info":"↹⩛533543⩚⊴⇥↹⩛42225=↹⩛-1020533","layer":2},{"info":"↹⩛5131∖↹⩛13023=↹⩛0","layer":3},{"info":"∮↹⩛35240=↹⩛151","layer":3},{"info":"↹⩛0≒∊↹⩛151=↹⩛2124","layer":2},{"info":"↹⩛-1020533↓↹⩛2124=↹⩛-342","layer":1},{"info":"↹⩛0↓↹⩛-342=↹⩛-342","layer":0}]} +{"id":317,"expression_no_base_symbol":"(⩦⩻⨪($1447$⫃⨇$4136$))⫒⫫($1040$⊭↱$1160$⪨≂$2522$⨑≵⋬$4354$)⇴(($2259$≄⊠$1696$∖$4225$⊨$7933$)≓∲$1830$⊴$1703$⪮%⊝($5170$⫔⩽⩺$3609$))","expression":"(⩦⩻⨪(↹⩛10411⫃⨇↹⩛31052))⫒⫫(↹⩛4452⊭↱↹⩛5212⪨≂↹⩛15402⨑≵⋬↹⩛32054)⇴((↹⩛14243≄⊠↹⩛11504∖↹⩛31321⊨↹⩛100421)≓∲↹⩛12250⊴↹⩛11515⪮%⊝(↹⩛35534⫔⩽⩺↹⩛24413))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3755,"operation_count":14,"complexity_ratio":268.2142857142857,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1447,"base":6},"right_expr":{"type":"numeric_atoms","value":4136,"base":6}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1040,"base":6},"right_expr":{"type":"numeric_atoms","value":1160,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2522,"base":6},"right_expr":{"type":"numeric_atoms","value":4354,"base":6}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2259,"base":6},"right_expr":{"type":"numeric_atoms","value":1696,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4225,"base":6},"right_expr":{"type":"numeric_atoms","value":7933,"base":6}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1830,"base":6},"right_expr":{"type":"numeric_atoms","value":1703,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5170,"base":6},"right_expr":{"type":"numeric_atoms","value":3609,"base":6}}}}},"used_operators":["4JB6nKBMSY","6Ko8hGgeMq","2td37pGCOC","09Ly4LVMIf","sdazOOVcIp","COABgblf1C","XnXgA4xnOs","s1XTVnmDOJ","tXD093vOjl","vXNesLlMH1","vg4gO5BX6G","IWmyXbctLI","Nsiff2A1zJ","i9eR4S00cU"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"number node, value=4136","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=4136, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16576","layer":3},{"info":"compute unary expreesion, input=-16576, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-16576","layer":2},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1160, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=245","layer":3},{"info":"number node, value=2522","layer":4},{"info":"number node, value=4354","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=4354, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-16489","layer":3},{"info":"compute binary expreesion, left_input=245, right_input=-16489, 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=33570","layer":2},{"info":"compute binary expreesion, left_input=-16576, right_input=33570, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=15776","layer":1},{"info":"number node, value=2259","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=1696, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=31804","layer":3},{"info":"number node, value=4225","layer":4},{"info":"number node, value=7933","layer":4},{"info":"compute binary expreesion, left_input=4225, right_input=7933, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=17931","layer":3},{"info":"compute binary expreesion, left_input=31804, right_input=17931, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1830","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1703, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5170","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=5170, right_input=3609, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15776, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪(↹⩛10411⫃⨇↹⩛31052))⫒⫫(↹⩛4452⊭↱↹⩛5212⪨≂↹⩛15402⨑≵⋬↹⩛32054)⇴((↹⩛14243≄⊠↹⩛11504∖↹⩛31321⊨↹⩛100421)≓∲↹⩛12250⊴↹⩛11515⪮%⊝(↹⩛35534⫔⩽⩺↹⩛24413))=NaN","reverse_text":"NaN=(⩦⩻⨪(↹⩛10411⫃⨇↹⩛31052))⫒⫫(↹⩛4452⊭↱↹⩛5212⪨≂↹⩛15402⨑≵⋬↹⩛32054)⇴((↹⩛14243≄⊠↹⩛11504∖↹⩛31321⊨↹⩛100421)≓∲↹⩛12250⊴↹⩛11515⪮%⊝(↹⩛35534⫔⩽⩺↹⩛24413))","cot":[{"info":"↹⩛10411⫃⨇↹⩛31052=↹⩛-204424","layer":3},{"info":"⩦⩻⨪↹⩛-204424=↹⩛-204424","layer":2},{"info":"↹⩛4452⊭↱↹⩛5212=↹⩛1045","layer":3},{"info":"↹⩛15402⨑≵⋬↹⩛32054=↹⩛-204201","layer":3},{"info":"↹⩛1045⪨≂↹⩛-204201=↹⩛415230","layer":2},{"info":"↹⩛-204424⫒⫫↹⩛415230=↹⩛201012","layer":1},{"info":"↹⩛14243≄⊠↹⩛11504=↹⩛403124","layer":3},{"info":"↹⩛31321⊨↹⩛100421=↹⩛215003","layer":3},{"info":"↹⩛403124∖↹⩛215003=↹⩛0","layer":2},{"info":"↹⩛12250⊴↹⩛11515=NaN","layer":3},{"info":"↹⩛35534⫔⩽⩺↹⩛24413=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"↹⩛0≓∲NaN=NaN","layer":1},{"info":"↹⩛201012⇴NaN=NaN","layer":0}]} +{"id":318,"expression_no_base_symbol":"($1827$⊉↱≁$1637$⨽⪊≇)⩚⊴⇥($1207$↙$1070$)⋓(⇤←$3651$)⨳⩥⨓($5887$⩁⩘$6413$∽($1976$⫚↹⊑$4066$))⊔$2906$⩣⫁∢$8038$≄⊠($1114$⫳≱↱$1638$)","expression":"(↹⩛12243⊉↱≁↹⩛11325⨽⪊≇)⩚⊴⇥(↹⩛5331↙↹⩛4542)⋓(⇤←↹⩛24523)⨳⩥⨓(↹⩛43131⩁⩘↹⩛45405∽(↹⩛13052⫚↹⊑↹⩛30454))⊔↹⩛21242⩣⫁∢↹⩛101114≄⊠(↹⩛5054⫳≱↱↹⩛11330)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1644,"operation_count":14,"complexity_ratio":117.42857142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1827,"base":6},"right_expr":{"type":"numeric_atoms","value":1637,"base":6}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1207,"base":6},"right_expr":{"type":"numeric_atoms","value":1070,"base":6}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":3651,"base":6}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5887,"base":6},"right_expr":{"type":"numeric_atoms","value":6413,"base":6}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1976,"base":6},"right_expr":{"type":"numeric_atoms","value":4066,"base":6}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2906,"base":6},"right_expr":{"type":"numeric_atoms","value":8038,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1114,"base":6},"right_expr":{"type":"numeric_atoms","value":1638,"base":6}}}}},"used_operators":["nCS4ZIUYfx","NTOWxs364D","nlCqmYiOvY","w2P8NbNXyL","T2fj7uvVaJ","yyfyN0ffXY","jfAgQ2OQeM","E4l6HwMY31","y4ImoPnbV5","gub5Cegaqo","dfKe02y8D2","vXNesLlMH1","JDUIKTTSIa","ZvLB05nZmT"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"↹⩛15403341","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=1637, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=8396","layer":3},{"info":"compute unary expreesion, input=8396, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=16266","layer":2},{"info":"number node, value=1207","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1070, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3210","layer":3},{"info":"number node, value=3651","layer":4},{"info":"compute unary expreesion, input=3651, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-16889","layer":3},{"info":"compute binary expreesion, left_input=-3210, right_input=-16889, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=16266, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-16387","layer":1},{"info":"number node, value=5887","layer":4},{"info":"number node, value=6413","layer":4},{"info":"compute binary expreesion, left_input=5887, right_input=6413, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=26600","layer":3},{"info":"number node, value=1976","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=4066, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=26600, right_input=-447, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-131481","layer":2},{"info":"number node, value=2906","layer":4},{"info":"number node, value=8038","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=8038, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5651","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1638, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-5651, right_input=-204, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-131481, right_input=1500, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=528714","layer":1},{"info":"compute binary expreesion, left_input=-16387, right_input=528714, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=545101","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12243⊉↱≁↹⩛11325⨽⪊≇)⩚⊴⇥(↹⩛5331↙↹⩛4542)⋓(⇤←↹⩛24523)⨳⩥⨓(↹⩛43131⩁⩘↹⩛45405∽(↹⩛13052⫚↹⊑↹⩛30454))⊔↹⩛21242⩣⫁∢↹⩛101114≄⊠(↹⩛5054⫳≱↱↹⩛11330)=↹⩛15403341","reverse_text":"↹⩛15403341=(↹⩛12243⊉↱≁↹⩛11325⨽⪊≇)⩚⊴⇥(↹⩛5331↙↹⩛4542)⋓(⇤←↹⩛24523)⨳⩥⨓(↹⩛43131⩁⩘↹⩛45405∽(↹⩛13052⫚↹⊑↹⩛30454))⊔↹⩛21242⩣⫁∢↹⩛101114≄⊠(↹⩛5054⫳≱↱↹⩛11330)","cot":[{"info":"↹⩛12243⊉↱≁↹⩛11325=↹⩛102512","layer":3},{"info":"↹⩛102512⨽⪊≇=↹⩛203150","layer":2},{"info":"↹⩛5331↙↹⩛4542=↹⩛-22510","layer":3},{"info":"⇤←↹⩛24523=↹⩛-210105","layer":3},{"info":"↹⩛-22510⋓↹⩛-210105=↹⩛0","layer":2},{"info":"↹⩛203150⩚⊴⇥↹⩛0=↹⩛-203511","layer":1},{"info":"↹⩛43131⩁⩘↹⩛45405=↹⩛323052","layer":3},{"info":"↹⩛13052⫚↹⊑↹⩛30454=↹⩛-2023","layer":3},{"info":"↹⩛323052∽↹⩛-2023=↹⩛-2452413","layer":2},{"info":"↹⩛21242⩣⫁∢↹⩛101114=↹⩛-42055","layer":3},{"info":"↹⩛5054⫳≱↱↹⩛11330=↹⩛-540","layer":3},{"info":"↹⩛-42055≄⊠↹⩛-540=↹⩛10540","layer":2},{"info":"↹⩛-2452413⊔↹⩛10540=↹⩛15155430","layer":1},{"info":"↹⩛-203511⨳⩥⨓↹⩛15155430=↹⩛15403341","layer":0}]} +{"id":319,"expression_no_base_symbol":"(($1339$⨸⪁$2830$)⨥⫆($3847$≠≀$5024$)*($1076$↪⪝)∝$1804$⊹∫⫚$1208$)↳∿⪆(($1071$%$1003$)⇤$5216$↳≱$2725$⨸⪁($6731$⫁$1073$∷$1330$∌$1002$))","expression":"((↹⩛10111⨸⪁↹⩛21034)⨥⫆(↹⩛25451≠≀↹⩛35132)*(↹⩛4552↪⪝)∝↹⩛12204⊹∫⫚↹⩛5332)↳∿⪆((↹⩛4543%↹⩛4351)⇤↹⩛40052↳≱↹⩛20341⨸⪁(↹⩛51055⫁↹⩛4545∷↹⩛10054∌↹⩛4350))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3413,"operation_count":15,"complexity_ratio":227.53333333333333,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1339,"base":6},"right_expr":{"type":"numeric_atoms","value":2830,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3847,"base":6},"right_expr":{"type":"numeric_atoms","value":5024,"base":6}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1076,"base":6}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1804,"base":6},"right_expr":{"type":"numeric_atoms","value":1208,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1071,"base":6},"right_expr":{"type":"numeric_atoms","value":1003,"base":6}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5216,"base":6},"right_expr":{"type":"numeric_atoms","value":2725,"base":6}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6731,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1330,"base":6},"right_expr":{"type":"numeric_atoms","value":1002,"base":6}}}}},"used_operators":["Cw4SuJJGHO","9HNa5Wba9A","yXekIHxTD4","g55IO6H4Gj","IwW236VD4Y","cTDWOvIxvz","l07mrZUIn9","uWAJUKEvyW","YSKBFp38Pu","k8jYdgA6NY","JwTKLfZU96","D3AQDKkPcf","0ajvFaJAv0","8cLx32lpNA"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","NTOWxs364D","7j4O788W3g","cHh1gJQ2o6","AHs5Up7iyr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1339","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=2830, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8338","layer":3},{"info":"number node, value=3847","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=3847, right_input=5024, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7388","layer":3},{"info":"compute binary expreesion, left_input=8338, right_input=-7388, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=65831832","layer":3},{"info":"number node, value=1804","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=1208, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-316","layer":3},{"info":"compute binary expreesion, left_input=65831832, right_input=-316, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=65831837","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=65831837, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-65831837","layer":1},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1003, op_id = k8jYdgA6NY binary_op_definition= 'None', output=68","layer":3},{"info":"number node, value=5216","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=2725, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=68, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=2508","layer":2},{"info":"number node, value=6731","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=6731, right_input=1073, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1002, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1002","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1002, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-954","layer":2},{"info":"compute binary expreesion, left_input=2508, right_input=-954, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3108","layer":1},{"info":"compute binary expreesion, left_input=-65831837, right_input=3108, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10111⨸⪁↹⩛21034)⨥⫆(↹⩛25451≠≀↹⩛35132)*(↹⩛4552↪⪝)∝↹⩛12204⊹∫⫚↹⩛5332)↳∿⪆((↹⩛4543%↹⩛4351)⇤↹⩛40052↳≱↹⩛20341⨸⪁(↹⩛51055⫁↹⩛4545∷↹⩛10054∌↹⩛4350))=NaN","reverse_text":"NaN=((↹⩛10111⨸⪁↹⩛21034)⨥⫆(↹⩛25451≠≀↹⩛35132)*(↹⩛4552↪⪝)∝↹⩛12204⊹∫⫚↹⩛5332)↳∿⪆((↹⩛4543%↹⩛4351)⇤↹⩛40052↳≱↹⩛20341⨸⪁(↹⩛51055⫁↹⩛4545∷↹⩛10054∌↹⩛4350))","cot":[{"info":"↹⩛10111⨸⪁↹⩛21034=↹⩛102334","layer":3},{"info":"↹⩛25451≠≀↹⩛35132=↹⩛-54112","layer":3},{"info":"↹⩛102334⨥⫆↹⩛-54112=↹⩛-1","layer":2},{"info":"↹⩛4552↪⪝=↹⩛10311001000","layer":3},{"info":"↹⩛12204⊹∫⫚↹⩛5332=↹⩛-1244","layer":3},{"info":"↹⩛10311001000∝↹⩛-1244=↹⩛10311001005","layer":2},{"info":"↹⩛-1*↹⩛10311001005=↹⩛-10311001005","layer":1},{"info":"↹⩛4543%↹⩛4351=↹⩛152","layer":3},{"info":"↹⩛40052↳≱↹⩛20341=↹⩛0","layer":3},{"info":"↹⩛152⇤↹⩛0=↹⩛15340","layer":2},{"info":"↹⩛51055⫁↹⩛4545=↹⩛424","layer":3},{"info":"↹⩛10054∌↹⩛4350=↹⩛-4350","layer":3},{"info":"↹⩛424∷↹⩛-4350=↹⩛-4230","layer":2},{"info":"↹⩛15340⨸⪁↹⩛-4230=↹⩛22220","layer":1},{"info":"↹⩛-10311001005↳∿⪆↹⩛22220=NaN","layer":0}]} +{"id":320,"expression_no_base_symbol":"((↥≼⋛($1107$⫚↹⊑$1053$))⫢⨠(⨂⪏⇭$6175$)≧⫂∧(⨴⫝$1675$))⫘((($2020$⫦⪉$1511$)⨚⇆(⫓⪴$2161$))⨚($5147$∣$5534$⨸⪁(⇜⊴$4144$)))","expression":"((↥≼⋛(↹⩛5043⫚↹⊑↹⩛4513))⫢⨠(⨂⪏⇭↹⩛44331)≧⫂∧(⨴⫝↹⩛11431))⫘(((↹⩛13204⫦⪉↹⩛10555)⨚⇆(⫓⪴↹⩛14001))⨚(↹⩛35455∣↹⩛41342⨸⪁(⇜⊴↹⩛31104)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10637,"operation_count":14,"complexity_ratio":759.7857142857143,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1107,"base":6},"right_expr":{"type":"numeric_atoms","value":1053,"base":6}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":6175,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1675,"base":6}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨚��","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2020,"base":6},"right_expr":{"type":"numeric_atoms","value":1511,"base":6}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2161,"base":6}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5147,"base":6},"right_expr":{"type":"numeric_atoms","value":5534,"base":6}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4144,"base":6}}}}},"used_operators":["48vC8HMD2b","xlXykHWxX1","x5lMkHmzsq","dfKe02y8D2","Ph9nP6C5qx","AYdpE9sXAk","SVb2v531z1","nREPSIbpBE","lwHaAYXP2r","wscyQdcy20","eLxqMNBOBk","g55IO6H4Gj","PPChnnnBFF","XwDhCwWbUn"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","BjRHVeLaeN","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9HNa5Wba9A","W4YGzv6Whe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"↹⩛4112125","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1053, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-414","layer":2},{"info":"number node, value=6175","layer":4},{"info":"compute unary expreesion, input=6175, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=17546","layer":3},{"info":"number node, value=1675","layer":4},{"info":"compute unary expreesion, input=1675, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=17546, right_input=2828198, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2827725","layer":2},{"info":"compute binary expreesion, left_input=-414, right_input=2827725, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=2020","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1511, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=860","layer":3},{"info":"number node, value=2161","layer":4},{"info":"compute unary expreesion, input=2161, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4669921","layer":3},{"info":"compute binary expreesion, left_input=860, right_input=4669921, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=5147","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=5147, right_input=5534, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5147","layer":3},{"info":"number node, value=4144","layer":4},{"info":"compute unary expreesion, input=4144, 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=-964270","layer":3},{"info":"compute binary expreesion, left_input=5147, right_input=-964270, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1918246","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1918246, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=196181","layer":0}],"base":6,"result_base":6,"text":"((↥≼⋛(↹⩛5043⫚↹⊑↹⩛4513))⫢⨠(⨂⪏⇭↹⩛44331)≧⫂∧(⨴⫝↹⩛11431))⫘(((↹⩛13204⫦⪉↹⩛10555)⨚⇆(⫓⪴↹⩛14001))⨚(↹⩛35455∣↹⩛41342⨸⪁(⇜⊴↹⩛31104)))=↹⩛4112125","reverse_text":"↹⩛4112125=((↥≼⋛(↹⩛5043⫚↹⊑↹⩛4513))⫢⨠(⨂⪏⇭↹⩛44331)≧⫂∧(⨴⫝↹⩛11431))⫘(((↹⩛13204⫦⪉↹⩛10555)⨚⇆(⫓⪴↹⩛14001))⨚(↹⩛35455∣↹⩛41342⨸⪁(⇜⊴↹⩛31104)))","cot":[{"info":"↹⩛5043⫚↹⊑↹⩛4513=↹⩛-2023","layer":3},{"info":"↥≼⋛↹⩛-2023=↹⩛-1530","layer":2},{"info":"⨂⪏⇭↹⩛44331=↹⩛213122","layer":3},{"info":"⨴⫝↹⩛11431=↹⩛140341302","layer":3},{"info":"↹⩛213122≧⫂∧↹⩛140341302=↹⩛140335153","layer":2},{"info":"↹⩛-1530⫢⨠↹⩛140335153=↹⩛424","layer":1},{"info":"↹⩛13204⫦⪉↹⩛10555=↹⩛3552","layer":3},{"info":"⫓⪴↹⩛14001=↹⩛244032001","layer":3},{"info":"↹⩛3552⨚⇆↹⩛244032001=NaN","layer":2},{"info":"↹⩛35455∣↹⩛41342=↹⩛35455","layer":3},{"info":"⇜⊴↹⩛31104=↹⩛-32400114","layer":3},{"info":"↹⩛35455⨸⪁↹⩛-32400114=↹⩛-105040434","layer":2},{"info":"NaN⨚↹⩛-105040434=NaN","layer":1},{"info":"↹⩛424⫘NaN=↹⩛4112125","layer":0}]} +{"id":321,"expression_no_base_symbol":"(⇈$4907$)≌(⊗$1246$)⨔⇊($1061$⨚$1315$%(∑⇻≧$3519$))*$7914$↓$4063$⪪($1457$≠≀$1548$)⪭≯(($1263$↯⫤)⨐⩸⫘(⇤←$1804$))","expression":"(⇈↹⩛34415)≌(⊗↹⩛5434)⨔⇊(↹⩛4525⨚↹⩛10031%(∑⇻≧↹⩛24143))*↹⩛100350↓↹⩛30451⪪(↹⩛10425≠≀↹⩛11100)⪭≯((↹⩛5503↯⫤)⨐⩸⫘(⇤←↹⩛12204))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":182042,"operation_count":15,"complexity_ratio":12136.133333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":4907,"base":6}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1246,"base":6}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1061,"base":6},"right_expr":{"type":"numeric_atoms","value":1315,"base":6}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3519,"base":6}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":7914,"base":6},"right_expr":{"type":"numeric_atoms","value":4063,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1457,"base":6},"right_expr":{"type":"numeric_atoms","value":1548,"base":6}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1263,"base":6}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1804,"base":6}}}}},"used_operators":["9HNa5Wba9A","JclMnS0uGI","lyWz822IDG","SLLxy00UIr","RhiyfpczSx","k8jYdgA6NY","nREPSIbpBE","l1M9WJ3V7u","XAx5wpdLa6","xD69zh8xqp","Af076pWI7l","IwW236VD4Y","fu6greOZ01","VwlE7vj6HS","jfAgQ2OQeM"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","FU0Cs4j7VP","JclMnS0uGI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","3ViojmjbAp","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4907","layer":4},{"info":"compute unary expreesion, input=4907, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2492","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-2492, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1315, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2204","layer":3},{"info":"number node, value=3519","layer":4},{"info":"compute unary expreesion, input=3519, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-2204, right_input=-852, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-500, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"number node, value=7914","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=7914, right_input=4063, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1457","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=1548, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2608","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-2608, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-2139802","layer":2},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=1804","layer":4},{"info":"compute unary expreesion, input=1804, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-7654","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7654, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2139802, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇈↹⩛34415)≌(⊗↹⩛5434)⨔⇊(↹⩛4525⨚↹⩛10031%(∑⇻≧↹⩛24143))*↹⩛100350↓↹⩛30451⪪(↹⩛10425≠≀↹⩛11100)⪭≯((↹⩛5503↯⫤)⨐⩸⫘(⇤←↹⩛12204))=NaN","reverse_text":"NaN=(⇈↹⩛34415)≌(⊗↹⩛5434)⨔⇊(↹⩛4525⨚↹⩛10031%(∑⇻≧↹⩛24143))*↹⩛100350↓↹⩛30451⪪(↹⩛10425≠≀↹⩛11100)⪭≯((↹⩛5503↯⫤)⨐⩸⫘(⇤←↹⩛12204))","cot":[{"info":"⇈↹⩛34415=↹⩛-2023","layer":3},{"info":"⊗↹⩛5434=↹⩛-15312","layer":3},{"info":"↹⩛-2023≌↹⩛-15312=NaN","layer":2},{"info":"↹⩛4525⨚↹⩛10031=↹⩛-14112","layer":3},{"info":"∑⇻≧↹⩛24143=↹⩛-3540","layer":3},{"info":"↹⩛-14112%↹⩛-3540=↹⩛-2152","layer":2},{"info":"NaN⨔⇊↹⩛-2152=↹⩛151","layer":1},{"info":"↹⩛100350↓↹⩛30451=↹⩛-342","layer":3},{"info":"↹⩛10425≠≀↹⩛11100=↹⩛-20024","layer":3},{"info":"↹⩛-342⪪↹⩛-20024=↹⩛-113510254","layer":2},{"info":"↹⩛5503↯⫤=↹⩛0","layer":3},{"info":"⇤←↹⩛12204=↹⩛-55234","layer":3},{"info":"↹⩛0⨐⩸⫘↹⩛-55234=NaN","layer":2},{"info":"↹⩛-113510254⪭≯NaN=NaN","layer":1},{"info":"↹⩛151*NaN=NaN","layer":0}]} +{"id":322,"expression_no_base_symbol":"≪($1688$≥⨤⩑$4481$⋻⩜⩜$3945$⩧⪆$2740$⫌⩉⩟(⊗$3168$)≌($2894$∌$4194$))","expression":"≪(↹⩛11452≥⨤⩑↹⩛32425⋻⩜⩜↹⩛30133⩧⪆↹⩛20404⫌⩉⩟(⊗↹⩛22400)≌(↹⩛21222∌↹⩛31230))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43434,"operation_count":8,"complexity_ratio":5429.25,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1688,"base":6},"right_expr":{"type":"numeric_atoms","value":4481,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3945,"base":6},"right_expr":{"type":"numeric_atoms","value":2740,"base":6}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3168,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2894,"base":6},"right_expr":{"type":"numeric_atoms","value":4194,"base":6}}}}},"used_operators":["Qtd6bqUJcN","XIIwhv8d0m","oDCm7WA9JY","gJLn6v0xnP","Ikt5ks8PT7","lyWz822IDG","RhiyfpczSx","8cLx32lpNA"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"↹⩛4121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=4481, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=3945","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=2740, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2740","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-2740, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2468","layer":2},{"info":"number node, value=3168","layer":4},{"info":"compute unary expreesion, input=3168, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6336","layer":3},{"info":"number node, value=2894","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=4194, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4194","layer":3},{"info":"compute binary expreesion, left_input=-6336, right_input=-4194, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":6,"result_base":6,"text":"≪(↹⩛11452≥⨤⩑↹⩛32425⋻⩜⩜↹⩛30133⩧⪆↹⩛20404⫌⩉⩟(⊗↹⩛22400)≌(↹⩛21222∌↹⩛31230))=↹⩛4121","reverse_text":"↹⩛4121=≪(↹⩛11452≥⨤⩑↹⩛32425⋻⩜⩜↹⩛30133⩧⪆↹⩛20404⫌⩉⩟(⊗↹⩛22400)≌(↹⩛21222∌↹⩛31230))","cot":[{"info":"↹⩛11452≥⨤⩑↹⩛32425=↹⩛5414","layer":3},{"info":"↹⩛30133⩧⪆↹⩛20404=↹⩛-20404","layer":3},{"info":"↹⩛5414⋻⩜⩜↹⩛-20404=↹⩛15232","layer":2},{"info":"⊗↹⩛22400=↹⩛-45200","layer":3},{"info":"↹⩛21222∌↹⩛31230=↹⩛-31230","layer":3},{"info":"↹⩛-45200≌↹⩛-31230=NaN","layer":2},{"info":"↹⩛15232⫌⩉⩟NaN=↹⩛-122","layer":1},{"info":"≪↹⩛-122=↹⩛4121","layer":0}]} +{"id":323,"expression_no_base_symbol":"($5553$⪔⊥$4319$)⨸($2202$⨫⇇↔$2215$)⫸⇳$2424$∳⫺$6653$⫯⪬∳(≸$1405$)⪒(↩⪖($1868$⨚$6356$↬$6293$⊋$5906$))","expression":"(↹⩛41413⪔⊥↹⩛31555)⨸(↹⩛14110⨫⇇↔↹⩛14131)⫸⇳↹⩛15120∳⫺↹⩛50445⫯⪬∳(≸↹⩛10301)⪒(↩⪖(↹⩛12352⨚↹⩛45232↬↹⩛45045⊋↹⩛43202))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14558,"operation_count":12,"complexity_ratio":1213.1666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5553,"base":6},"right_expr":{"type":"numeric_atoms","value":4319,"base":6}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2202,"base":6},"right_expr":{"type":"numeric_atoms","value":2215,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2424,"base":6},"right_expr":{"type":"numeric_atoms","value":6653,"base":6}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1405,"base":6}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1868,"base":6},"right_expr":{"type":"numeric_atoms","value":6356,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6293,"base":6},"right_expr":{"type":"numeric_atoms","value":5906,"base":6}}}}},"used_operators":["f6k1SAg4EE","gx7XJ7hdpj","KmoU8R5UQR","HJ9erzHUuu","LXhwmt4mBO","d7ASUq0ydm","AzXXKTstlj","eOf03JbCpp","fG6uBQFnGz","B5M0gjZbta","nREPSIbpBE","W4tP9CfskL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","BjRHVeLaeN","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5553","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=5553, right_input=4319, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13375","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=2215, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=13375, right_input=-527, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=26750","layer":2},{"info":"number node, value=2424","layer":4},{"info":"number node, value=6653","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=6653, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3548","layer":3},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=-3548, right_input=58, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=10171","layer":2},{"info":"compute binary expreesion, left_input=26750, right_input=10171, 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=1868","layer":4},{"info":"number node, value=6356","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=6356, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-20754","layer":3},{"info":"number node, value=6293","layer":4},{"info":"number node, value=5906","layer":4},{"info":"compute binary expreesion, left_input=6293, right_input=5906, 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=19853304","layer":3},{"info":"compute binary expreesion, left_input=-20754, right_input=19853304, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41413⪔⊥↹⩛31555)⨸(↹⩛14110⨫⇇↔↹⩛14131)⫸⇳↹⩛15120∳⫺↹⩛50445⫯⪬∳(≸↹⩛10301)⪒(↩⪖(↹⩛12352⨚↹⩛45232↬↹⩛45045⊋↹⩛43202))=NaN","reverse_text":"NaN=(↹⩛41413⪔⊥↹⩛31555)⨸(↹⩛14110⨫⇇↔↹⩛14131)⫸⇳↹⩛15120∳⫺↹⩛50445⫯⪬∳(≸↹⩛10301)⪒(↩⪖(↹⩛12352⨚↹⩛45232↬↹⩛45045⊋↹⩛43202))","cot":[{"info":"↹⩛41413⪔⊥↹⩛31555=↹⩛141531","layer":3},{"info":"↹⩛14110⨫⇇↔↹⩛14131=↹⩛-2235","layer":3},{"info":"↹⩛141531⨸↹⩛-2235=↹⩛323502","layer":2},{"info":"↹⩛15120∳⫺↹⩛50445=↹⩛-24232","layer":3},{"info":"≸↹⩛10301=↹⩛134","layer":3},{"info":"↹⩛-24232⫯⪬∳↹⩛134=↹⩛115031","layer":2},{"info":"↹⩛323502⫸⇳↹⩛115031=↹⩛0","layer":1},{"info":"↹⩛12352⨚↹⩛45232=↹⩛-240030","layer":3},{"info":"↹⩛45045⊋↹⩛43202=↹⩛1545305240","layer":3},{"info":"↹⩛-240030↬↹⩛1545305240=NaN","layer":2},{"info":"↩⪖NaN=NaN","layer":1},{"info":"↹⩛0⪒NaN=NaN","layer":0}]} +{"id":324,"expression_no_base_symbol":"(($1077$⩘)≴⪞⇿($6785$⊜)⊴($1156$↞⋁$3550$⪨≂$1170$⋾⨃∁$2945$))⪥(($2363$∀⇚≩$3289$)⩍⋽⫝̸($6257$≭$3159$)↙($1047$⊭↱$1055$)⫥∨⫟$2007$+⪬∐$1784$)","expression":"((↹⩛4553⩘)≴⪞⇿(↹⩛51225⊜)⊴(↹⩛5204↞⋁↹⩛24234⪨≂↹⩛5230⋾⨃∁↹⩛21345))⪥((↹⩛14535∀⇚≩↹⩛23121)⩍⋽⫝̸(↹⩛44545≭↹⩛22343)↙(↹⩛4503⊭↱↹⩛4515)⫥∨⫟↹⩛13143+⪬∐↹⩛12132)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20188,"operation_count":15,"complexity_ratio":1345.8666666666666,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1077,"base":6}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6785,"base":6}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1156,"base":6},"right_expr":{"type":"numeric_atoms","value":3550,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1170,"base":6},"right_expr":{"type":"numeric_atoms","value":2945,"base":6}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2363,"base":6},"right_expr":{"type":"numeric_atoms","value":3289,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6257,"base":6},"right_expr":{"type":"numeric_atoms","value":3159,"base":6}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1047,"base":6},"right_expr":{"type":"numeric_atoms","value":1055,"base":6}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2007,"base":6},"right_expr":{"type":"numeric_atoms","value":1784,"base":6}}}}},"used_operators":["QbnwKVWMIQ","Nsiff2A1zJ","lvlrscuwVU","wvHyciQT5X","Eev2Q7dYIw","sdazOOVcIp","RqrPlJkxDo","212REbPD9h","yyfyN0ffXY","BiWNJpBvwn","LRNGc0VcxI","rxpJgHHUmx","KYD54nUTWz","COABgblf1C","2GS7woTJqF"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9ICcGScMcE","dfKe02y8D2","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","tmPS8pqC7x","DpFCA1CohY","Ph9nP6C5qx","xUOZtlo3hN","X99M06cbEe","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=6785","layer":4},{"info":"compute unary expreesion, input=6785, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-25404","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-25404, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-219445","layer":2},{"info":"number node, value=1156","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=3550, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1170","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=2945, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=86694816","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=86694816, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-219445, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2363","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=3289, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6257","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=6257, right_input=3159, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"number node, value=1047","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1055, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21","layer":3},{"info":"number node, value=2007","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1784, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6021","layer":3},{"info":"compute binary expreesion, left_input=21, right_input=-6021, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4553⩘)≴⪞⇿(↹⩛51225⊜)⊴(↹⩛5204↞⋁↹⩛24234⪨≂↹⩛5230⋾⨃∁↹⩛21345))⪥((↹⩛14535∀⇚≩↹⩛23121)⩍⋽⫝̸(↹⩛44545≭↹⩛22343)↙(↹⩛4503⊭↱↹⩛4515)⫥∨⫟↹⩛13143+⪬∐↹⩛12132)=NaN","reverse_text":"NaN=((↹⩛4553⩘)≴⪞⇿(↹⩛51225⊜)⊴(↹⩛5204↞⋁↹⩛24234⪨≂↹⩛5230⋾⨃∁↹⩛21345))⪥((↹⩛14535∀⇚≩↹⩛23121)⩍⋽⫝̸(↹⩛44545≭↹⩛22343)↙(↹⩛4503⊭↱↹⩛4515)⫥∨⫟↹⩛13143+⪬∐↹⩛12132)","cot":[{"info":"↹⩛4553⩘=↹⩛151","layer":3},{"info":"↹⩛51225⊜=↹⩛-313340","layer":3},{"info":"↹⩛151≴⪞⇿↹⩛-313340=↹⩛-4411541","layer":2},{"info":"↹⩛5204↞⋁↹⩛24234=NaN","layer":3},{"info":"↹⩛5230⋾⨃∁↹⩛21345=↹⩛12334100520","layer":3},{"info":"NaN⪨≂↹⩛12334100520=NaN","layer":2},{"info":"↹⩛-4411541⊴NaN=NaN","layer":1},{"info":"↹⩛14535∀⇚≩↹⩛23121=NaN","layer":3},{"info":"↹⩛44545≭↹⩛22343=NaN","layer":3},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":2},{"info":"↹⩛4503⊭↱↹⩛4515=↹⩛33","layer":3},{"info":"↹⩛13143+⪬∐↹⩛12132=↹⩛-43513","layer":3},{"info":"↹⩛33⫥∨⫟↹⩛-43513=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN⪥NaN=NaN","layer":0}]} +{"id":325,"expression_no_base_symbol":"⫛⫱⨽((⨴⫝($3317$∲⫓$2756$))⋹)","expression":"⫛⫱⨽((⨴⫝(↹⩛23205∲⫓↹⩛20432))⋹)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2820,"operation_count":4,"complexity_ratio":705.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3317,"base":6},"right_expr":{"type":"numeric_atoms","value":2756,"base":6}}}}},"used_operators":["DlLNRPXxWL","opAxDRczMr","SVb2v531z1","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3317","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=2756, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute unary expreesion, input=2828198, 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 unary expreesion, input=-20, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⫛⫱⨽((⨴⫝(↹⩛23205∲⫓↹⩛20432))⋹)=↹⩛0","reverse_text":"↹⩛0=⫛⫱⨽((⨴⫝(↹⩛23205∲⫓↹⩛20432))⋹)","cot":[{"info":"↹⩛23205∲⫓↹⩛20432=↹⩛0","layer":3},{"info":"⨴⫝↹⩛0=↹⩛140341302","layer":2},{"info":"↹⩛140341302⋹=↹⩛-32","layer":1},{"info":"⫛⫱⨽↹⩛-32=↹⩛0","layer":0}]} +{"id":326,"expression_no_base_symbol":"⋃($3685$⨚$1783$⊨$6939$⊲⩕⊾$2275$+⇶⊼($2214$≦≮≮)⋣⋖$4774$⨐$1719$)","expression":"⋃(↹⩛25021⨚↹⩛12131⊨↹⩛52043⊲⩕⊾↹⩛14311+⇶⊼(↹⩛14130≦≮≮)⋣⋖↹⩛34034⨐↹⩛11543)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3478,"operation_count":8,"complexity_ratio":434.75,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3685,"base":6},"right_expr":{"type":"numeric_atoms","value":1783,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6939,"base":6},"right_expr":{"type":"numeric_atoms","value":2275,"base":6}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2214,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4774,"base":6},"right_expr":{"type":"numeric_atoms","value":1719,"base":6}}}}},"used_operators":["3mBM5G4a3l","TpPTUOHfaN","vg4gO5BX6G","nREPSIbpBE","DmTXOeWf9t","J0M6qkBnIM","D4vGDi5EA2","Noe24qw2ks"],"dependent_operators":["g55IO6H4Gj","AHs5Up7iyr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3685","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=1783, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1172","layer":3},{"info":"number node, value=6939","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=2275, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-130404","layer":3},{"info":"compute binary expreesion, left_input=1172, right_input=-130404, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5719","layer":2},{"info":"number node, value=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6642","layer":3},{"info":"number node, value=4774","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=4774, right_input=1719, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9548","layer":3},{"info":"compute binary expreesion, left_input=-6642, right_input=-9548, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=5719, right_input=-527, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⋃(↹⩛25021⨚↹⩛12131⊨↹⩛52043⊲⩕⊾↹⩛14311+⇶⊼(↹⩛14130≦≮≮)⋣⋖↹⩛34034⨐↹⩛11543)=NaN","reverse_text":"NaN=⋃(↹⩛25021⨚↹⩛12131⊨↹⩛52043⊲⩕⊾↹⩛14311+⇶⊼(↹⩛14130≦≮≮)⋣⋖↹⩛34034⨐↹⩛11543)","cot":[{"info":"↹⩛25021⨚↹⩛12131=↹⩛5232","layer":3},{"info":"↹⩛52043⊲⩕⊾↹⩛14311=↹⩛-2443420","layer":3},{"info":"↹⩛5232⊨↹⩛-2443420=↹⩛42251","layer":2},{"info":"↹⩛14130≦≮≮=↹⩛-50430","layer":3},{"info":"↹⩛34034⨐↹⩛11543=↹⩛-112112","layer":3},{"info":"↹⩛-50430⋣⋖↹⩛-112112=↹⩛-2235","layer":2},{"info":"↹⩛42251+⇶⊼↹⩛-2235=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]} +{"id":327,"expression_no_base_symbol":"(($1778$≫≃)⩘($1182$⨭⪣$3880$))⪝(($1407$⊹∫⫚$1811$)⨐(⨴⫝$4137$))⇼⇔∾(⨮↦↱(⪝⪂⫅$2432$))⩘((≸$1637$)↙($4258$≬⋮$3051$))","expression":"((↹⩛12122≫≃)⩘(↹⩛5250⨭⪣↹⩛25544))⪝((↹⩛10303⊹∫⫚↹⩛12215)⨐(⨴⫝↹⩛31053))⇼⇔∾(⨮↦↱(⪝⪂⫅↹⩛15132))⩘((≸↹⩛11325)↙(↹⩛31414≬⋮↹⩛22043))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2768,"operation_count":14,"complexity_ratio":197.71428571428572,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1778,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1182,"base":6},"right_expr":{"type":"numeric_atoms","value":3880,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1407,"base":6},"right_expr":{"type":"numeric_atoms","value":1811,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":4137,"base":6}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2432,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1637,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4258,"base":6},"right_expr":{"type":"numeric_atoms","value":3051,"base":6}}}}},"used_operators":["tifHPKVTfV","wicAB68Tmb","cHh1gJQ2o6","X99M06cbEe","kn8WO9XteQ","Noe24qw2ks","uWAJUKEvyW","SVb2v531z1","sYcpBQ0cFf","XTarYq4gQB","yyfyN0ffXY","eOf03JbCpp","kbkesczE7y"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"↹⩛-205","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1778","layer":4},{"info":"compute unary expreesion, input=1778, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4957","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3880, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-97","layer":3},{"info":"compute binary expreesion, left_input=4957, right_input=-97, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1811, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-280","layer":3},{"info":"number node, value=4137","layer":4},{"info":"compute unary expreesion, input=4137, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=-280, right_input=2828198, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=560","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=560, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-357504","layer":3},{"info":"compute unary expreesion, input=-357504, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=5351022","layer":2},{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=4258","layer":4},{"info":"number node, value=3051","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=3051, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=868, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=58","layer":2},{"info":"compute binary expreesion, left_input=5351022, right_input=58, 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=237, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-77","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12122≫≃)⩘(↹⩛5250⨭⪣↹⩛25544))⪝((↹⩛10303⊹∫⫚↹⩛12215)⨐(⨴⫝↹⩛31053))⇼⇔∾(⨮↦↱(⪝⪂⫅↹⩛15132))⩘((≸↹⩛11325)↙(↹⩛31414≬⋮↹⩛22043))=↹⩛-205","reverse_text":"↹⩛-205=((↹⩛12122≫≃)⩘(↹⩛5250⨭⪣↹⩛25544))⪝((↹⩛10303⊹∫⫚↹⩛12215)⨐(⨴⫝↹⩛31053))⇼⇔∾(⨮↦↱(⪝⪂⫅↹⩛15132))⩘((≸↹⩛11325)↙(↹⩛31414≬⋮↹⩛22043))","cot":[{"info":"↹⩛12122≫≃=↹⩛34541","layer":3},{"info":"↹⩛5250⨭⪣↹⩛25544=↹⩛-241","layer":3},{"info":"↹⩛34541⩘↹⩛-241=↹⩛424","layer":2},{"info":"↹⩛10303⊹∫⫚↹⩛12215=↹⩛-1144","layer":3},{"info":"⨴⫝↹⩛31053=↹⩛140341302","layer":3},{"info":"↹⩛-1144⨐↹⩛140341302=↹⩛2332","layer":2},{"info":"↹⩛424⪝↹⩛2332=↹⩛1033","layer":1},{"info":"⪝⪂⫅↹⩛15132=↹⩛-11355040","layer":3},{"info":"⨮↦↱↹⩛-11355040=↹⩛310405130","layer":2},{"info":"≸↹⩛11325=↹⩛134","layer":3},{"info":"↹⩛31414≬⋮↹⩛22043=↹⩛4004","layer":3},{"info":"↹⩛134↙↹⩛4004=↹⩛134","layer":2},{"info":"↹⩛310405130⩘↹⩛134=↹⩛424","layer":1},{"info":"↹⩛1033⇼⇔∾↹⩛424=↹⩛-205","layer":0}]} +{"id":328,"expression_no_base_symbol":"((∟⋨($6541$↺$1063$))⨽∌(($1691$∖$3513$)⩵∡$2449$∌$2926$))⇂≾⫗($1216$⋾⨃∁$5900$⫚↹⊑$4612$↤⩊$3140$)↞⋁($2025$⨸$8033$∲⫓$3215$≁↽≥$3483$)","expression":"((∟⋨(↹⩛50141↺↹⩛4531))⨽∌((↹⩛11455∖↹⩛24133)⩵∡↹⩛15201∌↹⩛21314))⇂≾⫗(↹⩛5344⋾⨃∁↹⩛43152⫚↹⊑↹⩛33204↤⩊↹⩛22312)↞⋁(↹⩛13213⨸↹⩛101105∲⫓↹⩛22515≁↽≥↹⩛24043)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10148,"operation_count":14,"complexity_ratio":724.8571428571429,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6541,"base":6},"right_expr":{"type":"numeric_atoms","value":1063,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1691,"base":6},"right_expr":{"type":"numeric_atoms","value":3513,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2449,"base":6},"right_expr":{"type":"numeric_atoms","value":2926,"base":6}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1216,"base":6},"right_expr":{"type":"numeric_atoms","value":5900,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4612,"base":6},"right_expr":{"type":"numeric_atoms","value":3140,"base":6}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2025,"base":6},"right_expr":{"type":"numeric_atoms","value":8033,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3215,"base":6},"right_expr":{"type":"numeric_atoms","value":3483,"base":6}}}}},"used_operators":["aBQ6xLxuTc","9samAPKr6k","ctOc4cKSDt","7j4O788W3g","Y7wcNGrDQJ","tXD093vOjl","8cLx32lpNA","RqrPlJkxDo","dfKe02y8D2","212REbPD9h","13rbtpv6ld","i8ToyICDmI","KmoU8R5UQR","ncHt1X6cMc"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6541","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=6541, right_input=1063, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1063","layer":3},{"info":"compute unary expreesion, input=1063, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-579","layer":2},{"info":"number node, value=1691","layer":4},{"info":"number node, value=3513","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=3513, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=2449","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=2926, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2926, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3047","layer":2},{"info":"compute binary expreesion, left_input=-579, right_input=-3047, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1216","layer":4},{"info":"number node, value=5900","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=5900, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=348029106","layer":3},{"info":"number node, value=4612","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=4612, right_input=3140, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=348029106, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=8033","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=8033, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4050","layer":3},{"info":"number node, value=3215","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=3483, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=44673","layer":3},{"info":"compute binary expreesion, left_input=4050, right_input=44673, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, 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 = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((∟⋨(↹⩛50141↺↹⩛4531))⨽∌((↹⩛11455∖↹⩛24133)⩵∡↹⩛15201∌↹⩛21314))⇂≾⫗(↹⩛5344⋾⨃∁↹⩛43152⫚↹⊑↹⩛33204↤⩊↹⩛22312)↞⋁(↹⩛13213⨸↹⩛101105∲⫓↹⩛22515≁↽≥↹⩛24043)=NaN","reverse_text":"NaN=((∟⋨(↹⩛50141↺↹⩛4531))⨽∌((↹⩛11455∖↹⩛24133)⩵∡↹⩛15201∌↹⩛21314))⇂≾⫗(↹⩛5344⋾⨃∁↹⩛43152⫚↹⊑↹⩛33204↤⩊↹⩛22312)↞⋁(↹⩛13213⨸↹⩛101105∲⫓↹⩛22515≁↽≥↹⩛24043)","cot":[{"info":"↹⩛50141↺↹⩛4531=↹⩛4531","layer":3},{"info":"∟⋨↹⩛4531=↹⩛-2403","layer":2},{"info":"↹⩛11455∖↹⩛24133=↹⩛0","layer":3},{"info":"↹⩛15201∌↹⩛21314=↹⩛-21314","layer":3},{"info":"↹⩛0⩵∡↹⩛-21314=↹⩛-22035","layer":2},{"info":"↹⩛-2403⨽∌↹⩛-22035=↹⩛0","layer":1},{"info":"↹⩛5344⋾⨃∁↹⩛43152=↹⩛54311245510","layer":3},{"info":"↹⩛33204↤⩊↹⩛22312=NaN","layer":3},{"info":"↹⩛54311245510⫚↹⊑NaN=↹⩛-2023","layer":2},{"info":"↹⩛13213⨸↹⩛101105=↹⩛30430","layer":3},{"info":"↹⩛22515≁↽≥↹⩛24043=↹⩛542453","layer":3},{"info":"↹⩛30430∲⫓↹⩛542453=↹⩛0","layer":2},{"info":"↹⩛-2023↞⋁↹⩛0=NaN","layer":1},{"info":"↹⩛0⇂≾⫗NaN=NaN","layer":0}]} +{"id":329,"expression_no_base_symbol":"((⇈$2998$)↸$6990$⊲⩕⊾$1995$)⪔⊥(($5263$⨽$4974$)⫸⇳$2000$⪬$6395$)⪢(↞≼((⇾⩊⇾$1167$)⩇∃⫛(⨵≀≌$7030$)))","expression":"((⇈↹⩛21514)↸↹⩛52210⊲⩕⊾↹⩛13123)⪔⊥((↹⩛40211⨽↹⩛35010)⫸⇳↹⩛13132⪬↹⩛45335)⪢(↞≼((⇾⩊⇾↹⩛5223)⩇∃⫛(⨵≀≌↹⩛52314)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":143718,"operation_count":12,"complexity_ratio":11976.5,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2998,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6990,"base":6},"right_expr":{"type":"numeric_atoms","value":1995,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5263,"base":6},"right_expr":{"type":"numeric_atoms","value":4974,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2000,"base":6},"right_expr":{"type":"numeric_atoms","value":6395,"base":6}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1167,"base":6}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7030,"base":6}}}}},"used_operators":["dWAJyo7jo9","HJ9erzHUuu","1eCjFl0mb9","SLLxy00UIr","DmTXOeWf9t","gx7XJ7hdpj","8HhzD0ZcuI","Ez1Nq5fNfI","DE7zCoGJt9","1aApVXNlOP","bx9Z9DAK5y","srAu1WTS94"],"dependent_operators":["k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2998","layer":4},{"info":"compute unary expreesion, input=2998, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=6990","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=6990, right_input=1995, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-128420","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-128420, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-447","layer":2},{"info":"number node, value=5263","layer":4},{"info":"number node, value=4974","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=4974, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-83111115","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=6395","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=6395, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-83111115, right_input=1234, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1246","layer":1},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16989","layer":3},{"info":"number node, value=7030","layer":4},{"info":"compute unary expreesion, input=7030, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-21090","layer":3},{"info":"compute binary expreesion, left_input=-16989, right_input=-21090, 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=-16989","layer":2},{"info":"compute unary expreesion, input=-16989, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-136326","layer":1},{"info":"compute binary expreesion, left_input=1246, right_input=-136326, 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":6,"result_base":6,"text":"((⇈↹⩛21514)↸↹⩛52210⊲⩕⊾↹⩛13123)⪔⊥((↹⩛40211⨽↹⩛35010)⫸⇳↹⩛13132⪬↹⩛45335)⪢(↞≼((⇾⩊⇾↹⩛5223)⩇∃⫛(⨵≀≌↹⩛52314)))=NaN","reverse_text":"NaN=((⇈↹⩛21514)↸↹⩛52210⊲⩕⊾↹⩛13123)⪔⊥((↹⩛40211⨽↹⩛35010)⫸⇳↹⩛13132⪬↹⩛45335)⪢(↞≼((⇾⩊⇾↹⩛5223)⩇∃⫛(⨵≀≌↹⩛52314)))","cot":[{"info":"⇈↹⩛21514=↹⩛-2023","layer":3},{"info":"↹⩛52210⊲⩕⊾↹⩛13123=↹⩛-2430312","layer":3},{"info":"↹⩛-2023↸↹⩛-2430312=↹⩛-2023","layer":2},{"info":"↹⩛40211⨽↹⩛35010=↹⩛-12125205403","layer":3},{"info":"↹⩛13132⪬↹⩛45335=↹⩛5414","layer":3},{"info":"↹⩛-12125205403⫸⇳↹⩛5414=↹⩛0","layer":2},{"info":"↹⩛-2023⪔⊥↹⩛0=↹⩛5434","layer":1},{"info":"⇾⩊⇾↹⩛5223=↹⩛-210353","layer":3},{"info":"⨵≀≌↹⩛52314=↹⩛-241350","layer":3},{"info":"↹⩛-210353⩇∃⫛↹⩛-241350=↹⩛-210353","layer":2},{"info":"↞≼↹⩛-210353=↹⩛-2531050","layer":1},{"info":"↹⩛5434⪢↹⩛-2531050=NaN","layer":0}]} +{"id":330,"expression_no_base_symbol":"⋗⩬⋾(⇈($1958$⫩⊇))⪇≇⋚(($5794$∪⫐$1786$)⨔≚≋$7431$⫁⪎$3934$)","expression":"⋗⩬⋾(⇈(↹⩛13022⫩⊇))⪇≇⋚((↹⩛42454∪⫐↹⩛12134)⨔≚≋↹⩛54223⫁⪎↹⩛30114)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1094,"operation_count":7,"complexity_ratio":156.28571428571428,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1958,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5794,"base":6},"right_expr":{"type":"numeric_atoms","value":1786,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7431,"base":6},"right_expr":{"type":"numeric_atoms","value":3934,"base":6}}}}},"used_operators":["DpFCA1CohY","3sJ7IOPOlU","SLLxy00UIr","BjRHVeLaeN","Z57zeUYC9z","7YooWSwCyH","xRrnTEsQ6j"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rysDP5nf3Z","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"compute unary expreesion, input=1958, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1916","layer":3},{"info":"compute unary expreesion, input=-1916, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=5794","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=1786, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5794","layer":3},{"info":"number node, value=7431","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=7431, right_input=3934, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3497","layer":3},{"info":"compute binary expreesion, left_input=5794, right_input=3497, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=9872, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⋗⩬⋾(⇈(↹⩛13022⫩⊇))⪇≇⋚((↹⩛42454∪⫐↹⩛12134)⨔≚≋↹⩛54223⫁⪎↹⩛30114)=↹⩛0","reverse_text":"↹⩛0=⋗⩬⋾(⇈(↹⩛13022⫩⊇))⪇≇⋚((↹⩛42454∪⫐↹⩛12134)⨔≚≋↹⩛54223⫁⪎↹⩛30114)","cot":[{"info":"↹⩛13022⫩⊇=↹⩛-12512","layer":3},{"info":"⇈↹⩛-12512=↹⩛-2023","layer":2},{"info":"↹⩛42454∪⫐↹⩛12134=↹⩛42454","layer":3},{"info":"↹⩛54223⫁⪎↹⩛30114=↹⩛24105","layer":3},{"info":"↹⩛42454⨔≚≋↹⩛24105=↹⩛113412","layer":2},{"info":"↹⩛-2023⪇≇⋚↹⩛113412=↹⩛0","layer":1},{"info":"⋗⩬⋾↹⩛0=↹⩛0","layer":0}]} +{"id":331,"expression_no_base_symbol":"(($2747$≎⊠⪸$2003$)⪘⫢($7104$⇮⋭$7514$)⪨≂($1201$⨫⇇↔$1223$)⪥(⫎≠⋺$1528$))⋹⋡⊁((↡(⊤⊝$1807$))⪍↜⋙($2009$∳⫺$3777$⊍⩺⋍$1180$⪔$2523$))","expression":"((↹⩛20415≎⊠⪸↹⩛13135)⪘⫢(↹⩛52520⇮⋭↹⩛54442)⪨≂(↹⩛5321⨫⇇↔↹⩛5355)⪥(⫎≠⋺↹⩛11024))⋹⋡⊁((↡(⊤⊝↹⩛12211))⪍↜⋙(↹⩛13145∳⫺↹⩛25253⊍⩺⋍↹⩛5244⪔↹⩛15403))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3329,"operation_count":14,"complexity_ratio":237.78571428571428,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2747,"base":6},"right_expr":{"type":"numeric_atoms","value":2003,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":7104,"base":6},"right_expr":{"type":"numeric_atoms","value":7514,"base":6}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1201,"base":6},"right_expr":{"type":"numeric_atoms","value":1223,"base":6}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1528,"base":6}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1807,"base":6}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2009,"base":6},"right_expr":{"type":"numeric_atoms","value":3777,"base":6}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1180,"base":6},"right_expr":{"type":"numeric_atoms","value":2523,"base":6}}}}},"used_operators":["As8RqfVLgs","sdazOOVcIp","oacrs7FA3X","bJkvcejdHO","vkpjKywKVM","QbnwKVWMIQ","LXhwmt4mBO","LYeZOJ0nQG","L05ObWFQCd","MXaNJeIAZ3","rXAclfmB4M","OXDGMFPWZM","AzXXKTstlj","GjBEYRfMaF"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","sdazOOVcIp","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"↹⩛343430","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2747","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=2003, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=711000","layer":3},{"info":"number node, value=7104","layer":4},{"info":"number node, value=7514","layer":4},{"info":"compute binary expreesion, left_input=7104, right_input=7514, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=711000, right_input=-473, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1223, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1528","layer":4},{"info":"compute unary expreesion, input=1528, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1798, 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=3698","layer":1},{"info":"number node, value=1807","layer":4},{"info":"compute unary expreesion, input=1807, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2316","layer":3},{"info":"compute unary expreesion, input=2316, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=20844","layer":2},{"info":"number node, value=2009","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=3777, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=2523, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=450, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20844, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3698, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=29322","layer":0}],"base":6,"result_base":6,"text":"((↹⩛20415≎⊠⪸↹⩛13135)⪘⫢(↹⩛52520⇮⋭↹⩛54442)⪨≂(↹⩛5321⨫⇇↔↹⩛5355)⪥(⫎≠⋺↹⩛11024))⋹⋡⊁((↡(⊤⊝↹⩛12211))⪍↜⋙(↹⩛13145∳⫺↹⩛25253⊍⩺⋍↹⩛5244⪔↹⩛15403))=↹⩛343430","reverse_text":"↹⩛343430=((↹⩛20415≎⊠⪸↹⩛13135)⪘⫢(↹⩛52520⇮⋭↹⩛54442)⪨≂(↹⩛5321⨫⇇↔↹⩛5355)⪥(⫎≠⋺↹⩛11024))⋹⋡⊁((↡(⊤⊝↹⩛12211))⪍↜⋙(↹⩛13145∳⫺↹⩛25253⊍⩺⋍↹⩛5244⪔↹⩛15403))","cot":[{"info":"↹⩛20415≎⊠⪸↹⩛13135=↹⩛23123400","layer":3},{"info":"↹⩛52520⇮⋭↹⩛54442=↹⩛-2105","layer":3},{"info":"↹⩛23123400⪘⫢↹⩛-2105=↹⩛0","layer":2},{"info":"↹⩛5321⨫⇇↔↹⩛5355=↹⩛-2235","layer":3},{"info":"⫎≠⋺↹⩛11024=↹⩛0","layer":3},{"info":"↹⩛-2235⪥↹⩛0=↹⩛-12154","layer":2},{"info":"↹⩛0⪨≂↹⩛-12154=↹⩛25042","layer":1},{"info":"⊤⊝↹⩛12211=↹⩛14420","layer":3},{"info":"↡↹⩛14420=↹⩛240300","layer":2},{"info":"↹⩛13145∳⫺↹⩛25253=↹⩛-1112","layer":3},{"info":"↹⩛5244⪔↹⩛15403=↹⩛2030","layer":3},{"info":"↹⩛-1112⊍⩺⋍↹⩛2030=NaN","layer":2},{"info":"↹⩛240300⪍↜⋙NaN=NaN","layer":1},{"info":"↹⩛25042⋹⋡⊁NaN=↹⩛343430","layer":0}]} +{"id":332,"expression_no_base_symbol":"(⊽(($1611$⋭≵$1639$)∊∟⩊($1321$≄⊠$3931$)))↙(($1045$⨪↰⇹$1292$)⇍⊗($2516$≬⇓$3673$)⪓⨏)","expression":"(⊽((↹⩛11243⋭≵↹⩛11331)∊∟⩊(↹⩛10041≄⊠↹⩛30111)))↙((↹⩛4501⨪↰⇹↹⩛5552)⇍⊗(↹⩛15352≬⇓↹⩛25001)⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2044,"operation_count":9,"complexity_ratio":227.11111111111111,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1611,"base":6},"right_expr":{"type":"numeric_atoms","value":1639,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1321,"base":6},"right_expr":{"type":"numeric_atoms","value":3931,"base":6}}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1045,"base":6},"right_expr":{"type":"numeric_atoms","value":1292,"base":6}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2516,"base":6},"right_expr":{"type":"numeric_atoms","value":3673,"base":6}}}}},"used_operators":["yyfyN0ffXY","QxG7OkqoLX","ddLRYrp01A","jBncVCNhdl","vXNesLlMH1","4X9JU4Jbn6","5uvYHDjeKN","tmPS8pqC7x","jWTQ2TZYIH"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rJVOvQCfKK","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=1639, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=3931","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=3931, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=67564","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=67564, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=67564","layer":2},{"info":"compute unary expreesion, input=67564, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=136650","layer":1},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1292, 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=1045","layer":3},{"info":"number node, value=2516","layer":4},{"info":"number node, value=3673","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=3673, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1045, right_input=-22, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=136650, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊽((↹⩛11243⋭≵↹⩛11331)∊∟⩊(↹⩛10041≄⊠↹⩛30111)))↙((↹⩛4501⨪↰⇹↹⩛5552)⇍⊗(↹⩛15352≬⇓↹⩛25001)⪓⨏)=NaN","reverse_text":"NaN=(⊽((↹⩛11243⋭≵↹⩛11331)∊∟⩊(↹⩛10041≄⊠↹⩛30111)))↙((↹⩛4501⨪↰⇹↹⩛5552)⇍⊗(↹⩛15352≬⇓↹⩛25001)⪓⨏)","cot":[{"info":"↹⩛11243⋭≵↹⩛11331=↹⩛151","layer":3},{"info":"↹⩛10041≄⊠↹⩛30111=↹⩛1240444","layer":3},{"info":"↹⩛151∊∟⩊↹⩛1240444=↹⩛1240444","layer":2},{"info":"⊽↹⩛1240444=↹⩛2532350","layer":1},{"info":"↹⩛4501⨪↰⇹↹⩛5552=↹⩛4501","layer":3},{"info":"↹⩛15352≬⇓↹⩛25001=↹⩛-34","layer":3},{"info":"↹⩛4501⇍⊗↹⩛-34=↹⩛-1044","layer":2},{"info":"↹⩛-1044⪓⨏=NaN","layer":1},{"info":"↹⩛2532350↙NaN=NaN","layer":0}]} +{"id":333,"expression_no_base_symbol":"((⊥(∨∊⋏$1753$))⩹(($7148$⊭↱$3173$)⨹))⫃⨇($5199$⊱⇼⊻$2790$⨎$3607$≦↸$4512$⩹$3912$⋥≓≎$4793$⋭≵(⊥$2291$))","expression":"((⊥(∨∊⋏↹⩛12041))⩹((↹⩛53032⊭↱↹⩛22405)⨹))⫃⨇(↹⩛40023⊱⇼⊻↹⩛20530⨎↹⩛24411≦↸↹⩛32520⩹↹⩛30040⋥≓≎↹⩛34105⋭≵(⊥↹⩛14335))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3419,"operation_count":13,"complexity_ratio":263.0,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1753,"base":6}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7148,"base":6},"right_expr":{"type":"numeric_atoms","value":3173,"base":6}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5199,"base":6},"right_expr":{"type":"numeric_atoms","value":2790,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3607,"base":6},"right_expr":{"type":"numeric_atoms","value":4512,"base":6}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3912,"base":6},"right_expr":{"type":"numeric_atoms","value":4793,"base":6}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2291,"base":6}}}}},"used_operators":["09Ly4LVMIf","2Wsdkap16l","Q3PJZHRvZv","R5aXW34M0v","UnCoSGIALn","COABgblf1C","rJVOvQCfKK","FyVja0WsTP","RygbFNSyEJ","jBncVCNhdl","Qy55tPpLXF"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","fu6greOZ01","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1753","layer":4},{"info":"compute unary expreesion, input=1753, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=28871","layer":3},{"info":"compute unary expreesion, input=28871, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=7148","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=7148, right_input=3173, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7945","layer":3},{"info":"compute unary expreesion, input=-7945, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=5199","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=2790, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3607","layer":4},{"info":"number node, value=4512","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=4512, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15557","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-15557, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-15557","layer":2},{"info":"number node, value=3912","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=4793, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5707","layer":3},{"info":"number node, value=2291","layer":4},{"info":"compute unary expreesion, input=2291, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5707, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-15557, right_input=67, 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=65","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=65, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⊥(∨∊⋏↹⩛12041))⩹((↹⩛53032⊭↱↹⩛22405)⨹))⫃⨇(↹⩛40023⊱⇼⊻↹⩛20530⨎↹⩛24411≦↸↹⩛32520⩹↹⩛30040⋥≓≎↹⩛34105⋭≵(⊥↹⩛14335))=NaN","reverse_text":"NaN=((⊥(∨∊⋏↹⩛12041))⩹((↹⩛53032⊭↱↹⩛22405)⨹))⫃⨇(↹⩛40023⊱⇼⊻↹⩛20530⨎↹⩛24411≦↸↹⩛32520⩹↹⩛30040⋥≓≎↹⩛34105⋭≵(⊥↹⩛14335))","cot":[{"info":"∨∊⋏↹⩛12041=↹⩛341355","layer":3},{"info":"⊥↹⩛341355=NaN","layer":2},{"info":"↹⩛53032⊭↱↹⩛22405=↹⩛-100441","layer":3},{"info":"↹⩛-100441⨹=NaN","layer":2},{"info":"NaN⩹NaN=NaN","layer":1},{"info":"↹⩛40023⊱⇼⊻↹⩛20530=↹⩛2002","layer":3},{"info":"↹⩛24411≦↸↹⩛32520=↹⩛-200005","layer":3},{"info":"↹⩛2002⨎↹⩛-200005=↹⩛-200005","layer":2},{"info":"↹⩛30040⋥≓≎↹⩛34105=↹⩛42231","layer":3},{"info":"⊥↹⩛14335=NaN","layer":3},{"info":"↹⩛42231⋭≵NaN=↹⩛151","layer":2},{"info":"↹⩛-200005⩹↹⩛151=↹⩛145","layer":1},{"info":"NaN⫃⨇↹⩛145=NaN","layer":0}]} +{"id":334,"expression_no_base_symbol":"(⋗⩬⋾$2226$∺≝⩲$3613$⪭$1181$⨸$2531$)⫸⊐(⊊≼∋($1799$⩁⩘$1309$))⋾⨃∁(⫎≠⋺($3205$⊉≛↸$2240$))","expression":"(⋗⩬⋾↹⩛14150∺≝⩲↹⩛24421⪭↹⩛5245⨸↹⩛15415)⫸⊐(⊊≼∋(↹⩛12155⩁⩘↹⩛10021))⋾⨃∁(⫎≠⋺(↹⩛22501⊉≛↸↹⩛14212))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7609,"operation_count":10,"complexity_ratio":760.9,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2226,"base":6},"right_expr":{"type":"numeric_atoms","value":3613,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1181,"base":6},"right_expr":{"type":"numeric_atoms","value":2531,"base":6}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1799,"base":6},"right_expr":{"type":"numeric_atoms","value":1309,"base":6}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3205,"base":6},"right_expr":{"type":"numeric_atoms","value":2240,"base":6}}}}},"used_operators":["mqXw5SEYmG","DpFCA1CohY","j9kHMeSvPp","KPf6cnQVty","KmoU8R5UQR","212REbPD9h","FWz7pXsQhA","gub5Cegaqo","LYeZOJ0nQG","DZ8iAZOCBD"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","B5M0gjZbta","jCPkEVoL5K","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-2153","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2226","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=3613, op_id = KPf6cnQVty binary_op_definition= 'a∺���⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=2531, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2362","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2362, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-334","layer":2},{"info":"compute unary expreesion, input=-334, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=1002","layer":1},{"info":"number node, value=1799","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=1309, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6184","layer":3},{"info":"compute unary expreesion, input=6184, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"number node, value=3205","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=2240, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6410","layer":3},{"info":"compute unary expreesion, input=6410, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":1},{"info":"compute binary expreesion, left_input=1002, right_input=-94, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-501","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾↹⩛14150∺≝⩲↹⩛24421⪭↹⩛5245⨸↹⩛15415)⫸⊐(⊊≼∋(↹⩛12155⩁⩘↹⩛10021))⋾⨃∁(⫎≠⋺(↹⩛22501⊉≛↸↹⩛14212))=↹⩛-2153","reverse_text":"↹⩛-2153=(⋗⩬⋾↹⩛14150∺≝⩲↹⩛24421⪭↹⩛5245⨸↹⩛15415)⫸⊐(⊊≼∋(↹⩛12155⩁⩘↹⩛10021))⋾⨃∁(⫎≠⋺(↹⩛22501⊉≛↸↹⩛14212))","cot":[{"info":"↹⩛14150∺≝⩲↹⩛24421=↹⩛424","layer":3},{"info":"↹⩛5245⨸↹⩛15415=↹⩛14534","layer":3},{"info":"↹⩛424⪭↹⩛14534=↹⩛-1314","layer":2},{"info":"⋗⩬⋾↹⩛-1314=↹⩛4350","layer":1},{"info":"↹⩛12155⩁⩘↹⩛10021=↹⩛44344","layer":3},{"info":"⊊≼∋↹⩛44344=↹⩛-2023","layer":2},{"info":"↹⩛22501⊉≛↸↹⩛14212=↹⩛45402","layer":3},{"info":"⫎≠⋺↹⩛45402=↹⩛0","layer":2},{"info":"↹⩛-2023⋾⨃∁↹⩛0=↹⩛-234","layer":1},{"info":"↹⩛4350⫸⊐↹⩛-234=↹⩛-2153","layer":0}]} +{"id":335,"expression_no_base_symbol":"(⪨⨬((⇐$3410$)⇷($5329$⪛⫼$2516$)))∼(∜⨇($1282$⩌⋺$1148$))≁((⊀$1307$)⨽($9195$⊾⪯⋞$1743$))","expression":"(⪨⨬((⇐↹⩛23442)⇷(↹⩛40401⪛⫼↹⩛15352)))∼(∜⨇(↹⩛5534⩌⋺↹⩛5152))≁((⊀↹⩛10015)⨽(↹⩛110323⊾⪯⋞↹⩛12023))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":113013,"operation_count":11,"complexity_ratio":10273.90909090909,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3410,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5329,"base":6},"right_expr":{"type":"numeric_atoms","value":2516,"base":6}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1282,"base":6},"right_expr":{"type":"numeric_atoms","value":1148,"base":6}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1307,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":9195,"base":6},"right_expr":{"type":"numeric_atoms","value":1743,"base":6}}}}},"used_operators":["DyGG3AbaNP","5obUd6DV38","mp7IySMOzn","nmZMaaE0Q9","hyuBjUqXlG","8N2wDY1A35","uFPyJr306J","g7Hmc5v1ko","8HhzD0ZcuI","oPMjh9089D","HK0tfVPux8"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","T2fj7uvVaJ","nlCqmYiOvY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3410","layer":4},{"info":"compute unary expreesion, input=3410, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=7686","layer":3},{"info":"number node, value=5329","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=5329, right_input=2516, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=7686, right_input=968, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1936","layer":2},{"info":"compute unary expreesion, input=1936, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=1282","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=1148, 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=-2551","layer":3},{"info":"compute unary expreesion, input=-2551, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4966","layer":3},{"info":"number node, value=9195","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=9195, right_input=1743, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3060","layer":3},{"info":"compute binary expreesion, left_input=4966, right_input=3060, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-73991334","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-73991334, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪨⨬((⇐↹⩛23442)⇷(↹⩛40401⪛⫼↹⩛15352)))∼(∜⨇(↹⩛5534⩌⋺↹⩛5152))≁((⊀↹⩛10015)⨽(↹⩛110323⊾⪯⋞↹⩛12023))=NaN","reverse_text":"NaN=(⪨⨬((⇐↹⩛23442)⇷(↹⩛40401⪛⫼↹⩛15352)))∼(∜⨇(↹⩛5534⩌⋺↹⩛5152))≁((⊀↹⩛10015)⨽(↹⩛110323⊾⪯⋞↹⩛12023))","cot":[{"info":"⇐↹⩛23442=↹⩛55330","layer":3},{"info":"↹⩛40401⪛⫼↹⩛15352=↹⩛4252","layer":3},{"info":"↹⩛55330⇷↹⩛4252=↹⩛12544","layer":2},{"info":"⪨⨬↹⩛12544=↹⩛-2234","layer":1},{"info":"↹⩛5534⩌⋺↹⩛5152=↹⩛-15451","layer":3},{"info":"∜⨇↹⩛-15451=NaN","layer":2},{"info":"⊀↹⩛10015=↹⩛34554","layer":3},{"info":"↹⩛110323⊾⪯⋞↹⩛12023=↹⩛22100","layer":3},{"info":"↹⩛34554⨽↹⩛22100=↹⩛-11201520250","layer":2},{"info":"NaN≁↹⩛-11201520250=NaN","layer":1},{"info":"↹⩛-2234∼NaN=NaN","layer":0}]} +{"id":336,"expression_no_base_symbol":"(($1319$∳⫺$3955$)↑)⪭$1737$⨼⩣$1064$⪥($2824$⪒$2951$)⫸⇳(≇⪴(⊄⩳↩($1255$⊵↤)))","expression":"((↹⩛10035∳⫺↹⩛30151)↑)⪭↹⩛12013⨼⩣↹⩛4532⪥(↹⩛21024⪒↹⩛21355)⫸⇳(≇⪴(⊄⩳↩(↹⩛5451⊵↤)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":492,"operation_count":10,"complexity_ratio":49.2,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1319,"base":6},"right_expr":{"type":"numeric_atoms","value":3955,"base":6}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1737,"base":6},"right_expr":{"type":"numeric_atoms","value":1064,"base":6}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2824,"base":6},"right_expr":{"type":"numeric_atoms","value":2951,"base":6}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1255,"base":6}}}}},"used_operators":["gx7XJ7hdpj","j9kHMeSvPp","BThhyOhh10","AzXXKTstlj","QbnwKVWMIQ","JxwMv5le6e","f6k1SAg4EE","zoVPnxeHJ3","8w2t5hMYqp","7IPrd9c3lf"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=3955","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=3955, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2572","layer":3},{"info":"compute unary expreesion, input=-2572, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"number node, value=1737","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1064, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2824","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=2951, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5775","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5775, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=-116, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-396","layer":1},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-201","layer":2},{"info":"compute unary expreesion, input=-201, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-804","layer":1},{"info":"compute binary expreesion, left_input=-396, right_input=-804, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10035∳⫺↹⩛30151)↑)⪭↹⩛12013⨼⩣↹⩛4532⪥(↹⩛21024⪒↹⩛21355)⫸⇳(≇⪴(⊄⩳↩(↹⩛5451⊵↤)))=↹⩛0","reverse_text":"↹⩛0=((↹⩛10035∳⫺↹⩛30151)↑)⪭↹⩛12013⨼⩣↹⩛4532⪥(↹⩛21024⪒↹⩛21355)⫸⇳(≇⪴(⊄⩳↩(↹⩛5451⊵↤)))","cot":[{"info":"↹⩛10035∳⫺↹⩛30151=↹⩛-15524","layer":3},{"info":"↹⩛-15524↑=↹⩛1010","layer":2},{"info":"↹⩛12013⨼⩣↹⩛4532=NaN","layer":3},{"info":"↹⩛21024⪒↹⩛21355=↹⩛-42423","layer":3},{"info":"NaN⪥↹⩛-42423=↹⩛-312","layer":2},{"info":"↹⩛1010⪭↹⩛-312=↹⩛-1500","layer":1},{"info":"↹⩛5451⊵↤=↹⩛151","layer":3},{"info":"⊄⩳↩↹⩛151=↹⩛-533","layer":2},{"info":"≇⪴↹⩛-533=↹⩛-3420","layer":1},{"info":"↹⩛-1500⫸⇳↹⩛-3420=↹⩛0","layer":0}]} +{"id":337,"expression_no_base_symbol":"(($1908$⇷$3823$)⇤($6549$⩢≌)↛⩡⫤)⋅⇍$4183$⋝⋈⪟$1779$⊹��⫚(↩$1210$)⫥∨⫟(≀↧⇸$1007$)⪨⊡$1882$⨥⫆$7676$","expression":"((↹⩛12500⇷↹⩛25411)⇤(↹⩛50153⩢≌)↛⩡⫤)⋅⇍↹⩛31211⋝⋈⪟↹⩛12123⊹∫⫚(↩↹⩛5334)⫥∨⫟(≀↧⇸↹⩛4355)⪨⊡↹⩛12414⨥⫆↹⩛55312","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":135209,"operation_count":12,"complexity_ratio":11267.416666666666,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1908,"base":6},"right_expr":{"type":"numeric_atoms","value":3823,"base":6}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":6549,"base":6}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4183,"base":6},"right_expr":{"type":"numeric_atoms","value":1779,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1210,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1007,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1882,"base":6},"right_expr":{"type":"numeric_atoms","value":7676,"base":6}}}}},"used_operators":["AdZkA7nFnk","FU0Cs4j7VP","YSKBFp38Pu","mp7IySMOzn","D617RFjZIq","KYD54nUTWz","uWAJUKEvyW","2DDjHMKMc0","jLgFTUHLKL","kuIXHzHcAH","ljTHtUsqzn","yXekIHxTD4"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","hTbEZDJLEm","o20kRiQErp","8HhzD0ZcuI","rGHVDoGpnC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XPYlsWDdGa","23Mk6UjR3U","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"↹⩛302025253","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1908","layer":4},{"info":"number node, value=3823","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=3823, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7646","layer":3},{"info":"number node, value=6549","layer":4},{"info":"compute unary expreesion, input=6549, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=7646, right_input=113, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-35947","layer":2},{"info":"compute unary expreesion, input=-35947, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-5136510","layer":1},{"info":"number node, value=4183","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=4183, right_input=1779, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4183","layer":3},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6900","layer":3},{"info":"compute binary expreesion, left_input=4183, right_input=-6900, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-276","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2014","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=7676","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=7676, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=15228","layer":3},{"info":"compute binary expreesion, left_input=2014, right_input=15228, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-276, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5136510, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=5135937","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12500⇷↹⩛25411)⇤(↹⩛50153⩢≌)↛⩡⫤)⋅⇍↹⩛31211⋝⋈⪟↹⩛12123⊹∫⫚(↩↹⩛5334)⫥∨⫟(≀↧⇸↹⩛4355)⪨⊡↹⩛12414⨥⫆↹⩛55312=↹⩛302025253","reverse_text":"↹⩛302025253=((↹⩛12500⇷↹⩛25411)⇤(↹⩛50153⩢≌)↛⩡⫤)⋅⇍↹⩛31211⋝⋈⪟↹⩛12123⊹∫⫚(↩↹⩛5334)⫥∨⫟(≀↧⇸↹⩛4355)⪨⊡↹⩛12414⨥⫆↹⩛55312","cot":[{"info":"↹⩛12500⇷↹⩛25411=↹⩛55222","layer":3},{"info":"↹⩛50153⩢≌=↹⩛305","layer":3},{"info":"↹⩛55222⇤↹⩛305=↹⩛-434231","layer":2},{"info":"↹⩛-434231↛⩡⫤=↹⩛-302032050","layer":1},{"info":"↹⩛31211⋝⋈⪟↹⩛12123=↹⩛31211","layer":3},{"info":"↩↹⩛5334=↹⩛-51540","layer":3},{"info":"↹⩛31211⊹∫⫚↹⩛-51540=↹⩛-1140","layer":2},{"info":"≀↧⇸↹⩛4355=↹⩛13154","layer":3},{"info":"↹⩛12414⨥⫆↹⩛55312=↹⩛154300","layer":3},{"info":"↹⩛13154⪨⊡↹⩛154300=↹⩛0","layer":2},{"info":"↹⩛-1140⫥∨⫟↹⩛0=NaN","layer":1},{"info":"↹⩛-302032050⋅⇍NaN=↹⩛302025253","layer":0}]} +{"id":338,"expression_no_base_symbol":"(⩪∧⨌$3510$⪪$3802$)≁↽≥(⨝⨆($6261$*$1439$))⋖∅⋲","expression":"(⩪∧⨌↹⩛24130⪪↹⩛25334)≁↽≥(⨝⨆(↹⩛44553*↹⩛10355))⋖∅⋲","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12157,"operation_count":6,"complexity_ratio":2026.1666666666667,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3510,"base":6},"right_expr":{"type":"numeric_atoms","value":3802,"base":6}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6261,"base":6},"right_expr":{"type":"numeric_atoms","value":1439,"base":6}}}}},"used_operators":["L95AwlJzhO","ncHt1X6cMc","6iOiAJX1F8","xD69zh8xqp","bQ67fsrMVf","9HNa5Wba9A"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","oWn0xqSxBt","3Oe9XWJUTD","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","FU0Cs4j7VP","JclMnS0uGI","tifHPKVTfV","W4YGzv6Whe"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3510","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=3802, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-526099","layer":3},{"info":"compute unary expreesion, input=-526099, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-5260990","layer":2},{"info":"number node, value=6261","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=6261, right_input=1439, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9009579","layer":3},{"info":"compute unary expreesion, input=9009579, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=9009370","layer":2},{"info":"compute binary expreesion, left_input=-5260990, right_input=9009370, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-78904918","layer":1},{"info":"compute unary expreesion, input=-78904918, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⩪∧⨌↹⩛24130⪪↹⩛25334)≁↽≥(⨝⨆(↹⩛44553*↹⩛10355))⋖∅⋲=↹⩛0","reverse_text":"↹⩛0=(⩪∧⨌↹⩛24130⪪↹⩛25334)≁↽≥(⨝⨆(↹⩛44553*↹⩛10355))⋖∅⋲","cot":[{"info":"↹⩛24130⪪↹⩛25334=↹⩛-15135351","layer":3},{"info":"⩪∧⨌↹⩛-15135351=↹⩛-304432234","layer":2},{"info":"↹⩛44553*↹⩛10355=↹⩛521035003","layer":3},{"info":"⨝⨆↹⩛521035003=↹⩛521034014","layer":2},{"info":"↹⩛-304432234≁↽≥↹⩛521034014=↹⩛-11455112314","layer":1},{"info":"↹⩛-11455112314⋖∅⋲=↹⩛0","layer":0}]} +{"id":339,"expression_no_base_symbol":"(($1219$⇄$3763$)≒∊(⇵⪽$2706$))⨑⩅≇((≑⋹$7310$)↓($7580$≬⇓$1128$))≄⊠($1131$⇡⇂$6419$⩵∡$1954$⋳⪒$2791$%($3456$⪣⫩)∑⇟⊟$1570$⊕∕$4868$)","expression":"((↹⩛5351⇄↹⩛25231)≒∊(⇵⪽↹⩛20310))⨑⩅≇((≑⋹↹⩛53502)↓(↹⩛55032≬⇓↹⩛5120))≄⊠(↹⩛5123⇡⇂↹⩛45415⩵∡↹⩛13014⋳⪒↹⩛20531%(↹⩛24000⪣⫩)∑⇟⊟↹⩛11134⊕∕↹⩛34312)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":32757,"operation_count":15,"complexity_ratio":2183.8,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1219,"base":6},"right_expr":{"type":"numeric_atoms","value":3763,"base":6}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2706,"base":6}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":7310,"base":6}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":7580,"base":6},"right_expr":{"type":"numeric_atoms","value":1128,"base":6}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1131,"base":6},"right_expr":{"type":"numeric_atoms","value":6419,"base":6}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1954,"base":6},"right_expr":{"type":"numeric_atoms","value":2791,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":3456,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1570,"base":6},"right_expr":{"type":"numeric_atoms","value":4868,"base":6}}}}},"used_operators":["vXNesLlMH1","h92wMvzauj","5KTvxBwnZo","3EYGwJThht","ZGCBLdVRRX","Af076pWI7l","6B9nyZLogK","jWTQ2TZYIH","k8jYdgA6NY","Y7wcNGrDQJ","UMwdvZNt44","12rbrZMWeM","U7g4x0WXJJ","iuk5sVOGFA","9cloC0Ngie"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","U7g4x0WXJJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"↹⩛10540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=3763, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2706","layer":4},{"info":"compute unary expreesion, input=2706, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=7310","layer":4},{"info":"compute unary expreesion, input=7310, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=7580","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=7580, right_input=1128, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-22, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=550","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=550, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"number node, value=1131","layer":4},{"info":"number node, value=6419","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=6419, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=2791, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=830","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=830, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=3456","layer":4},{"info":"compute unary expreesion, input=3456, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=10335","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=4868, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1570","layer":3},{"info":"compute binary expreesion, left_input=10335, right_input=1570, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, 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":6,"result_base":6,"text":"((↹⩛5351⇄↹⩛25231)≒∊(⇵⪽↹⩛20310))⨑⩅≇((≑⋹↹⩛53502)↓(↹⩛55032≬⇓↹⩛5120))≄⊠(↹⩛5123⇡⇂↹⩛45415⩵∡↹⩛13014⋳⪒↹⩛20531%(↹⩛24000⪣⫩)∑⇟⊟↹⩛11134⊕∕↹⩛34312)=↹⩛10540","reverse_text":"↹⩛10540=((↹⩛5351⇄↹⩛25231)≒∊(⇵⪽↹⩛20310))⨑⩅≇((≑⋹↹⩛53502)↓(↹⩛55032≬⇓↹⩛5120))≄⊠(↹⩛5123⇡⇂↹⩛45415⩵∡↹⩛13014⋳⪒↹⩛20531%(↹⩛24000⪣⫩)∑⇟⊟↹⩛11134⊕∕↹⩛34312)","cot":[{"info":"↹⩛5351⇄↹⩛25231=↹⩛0","layer":3},{"info":"⇵⪽↹⩛20310=NaN","layer":3},{"info":"↹⩛0≒∊NaN=NaN","layer":2},{"info":"≑⋹↹⩛53502=↹⩛11350","layer":3},{"info":"↹⩛55032≬⇓↹⩛5120=↹⩛-34","layer":3},{"info":"↹⩛11350↓↹⩛-34=↹⩛2314","layer":2},{"info":"NaN⨑⩅≇↹⩛2314=↹⩛4155","layer":1},{"info":"↹⩛5123⇡⇂↹⩛45415=NaN","layer":3},{"info":"↹⩛13014⋳⪒↹⩛20531=↹⩛3502","layer":3},{"info":"NaN⩵∡↹⩛3502=NaN","layer":2},{"info":"↹⩛24000⪣⫩=↹⩛115503","layer":3},{"info":"↹⩛11134⊕∕↹⩛34312=↹⩛11134","layer":3},{"info":"↹⩛115503∑⇟⊟↹⩛11134=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"↹⩛4155≄⊠NaN=↹⩛10540","layer":0}]} +{"id":340,"expression_no_base_symbol":"($1875$≄⊠$1822$⫲≸⪮(⇨$3893$))↓($3529$∊∟⩊$1390$⨰$1084$∑⇟⊟$3909$)⋷(⫶⊄≣(($3263$≧⫂∧$3457$)⪚($1038$∁)))","expression":"(↹⩛12403≄⊠↹⩛12234⫲≸⪮(⇨↹⩛30005))↓(↹⩛24201∊∟⩊↹⩛10234⨰↹⩛5004∑⇟⊟↹⩛30033)⋷(⫶⊄≣((↹⩛23035≧⫂∧↹⩛24001)⪚(↹⩛4450∁)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37756,"operation_count":12,"complexity_ratio":3146.3333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1875,"base":6},"right_expr":{"type":"numeric_atoms","value":1822,"base":6}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3893,"base":6}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3529,"base":6},"right_expr":{"type":"numeric_atoms","value":1390,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1084,"base":6},"right_expr":{"type":"numeric_atoms","value":3909,"base":6}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3263,"base":6},"right_expr":{"type":"numeric_atoms","value":3457,"base":6}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1038,"base":6}}}}},"used_operators":["23Mk6UjR3U","Af076pWI7l","P3lXMJvFrc","vXNesLlMH1","G9tJMlZ94a","eewbuw0ToL","ddLRYrp01A","U7g4x0WXJJ","wxb3vTeyAj","HrjLwUk87U","Ph9nP6C5qx","jdwGQqwJi5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0"],"result":"↹⩛1124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1875","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=1822, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=33820","layer":3},{"info":"number node, value=3893","layer":4},{"info":"compute unary expreesion, input=3893, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=33820, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=33820","layer":2},{"info":"number node, value=3529","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=1390, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1390","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=3909","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=3909, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1390, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=33820, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=3263","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=3457, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2984","layer":3},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1038","layer":3},{"info":"compute binary expreesion, left_input=2984, right_input=1038, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3536","layer":2},{"info":"compute unary expreesion, input=3536, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=225119665","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=225119665, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=268","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12403≄⊠↹⩛12234⫲≸⪮(⇨↹⩛30005))↓(↹⩛24201∊∟⩊↹⩛10234⨰↹⩛5004∑⇟⊟↹⩛30033)⋷(⫶⊄≣((↹⩛23035≧⫂∧↹⩛24001)⪚(↹⩛4450∁)))=↹⩛1124","reverse_text":"↹⩛1124=(↹⩛12403≄⊠↹⩛12234⫲≸⪮(⇨↹⩛30005))↓(↹⩛24201∊∟⩊↹⩛10234⨰↹⩛5004∑⇟⊟↹⩛30033)⋷(⫶⊄≣((↹⩛23035≧⫂∧↹⩛24001)⪚(↹⩛4450∁)))","cot":[{"info":"↹⩛12403≄⊠↹⩛12234=↹⩛420324","layer":3},{"info":"⇨↹⩛30005=↹⩛0","layer":3},{"info":"↹⩛420324⫲≸⪮↹⩛0=↹⩛420324","layer":2},{"info":"↹⩛24201∊∟⩊↹⩛10234=↹⩛10234","layer":3},{"info":"↹⩛5004∑⇟⊟↹⩛30033=NaN","layer":3},{"info":"↹⩛10234⨰NaN=NaN","layer":2},{"info":"↹⩛420324↓NaN=↹⩛-342","layer":1},{"info":"↹⩛23035≧⫂∧↹⩛24001=↹⩛21452","layer":3},{"info":"↹⩛4450∁=↹⩛4450","layer":3},{"info":"↹⩛21452⪚↹⩛4450=↹⩛24212","layer":2},{"info":"⫶⊄≣↹⩛24212=↹⩛34201032401","layer":1},{"info":"↹⩛-342⋷↹⩛34201032401=↹⩛1124","layer":0}]} +{"id":341,"expression_no_base_symbol":"((⇈($8701$⫦⪉$6802$))⨼⩣($2333$⪃⊛⇣$3682$⩇∃⫛(≦∁$3520$)))⊴⇁⪶","expression":"((⇈(↹⩛104141⫦⪉↹⩛51254))⨼⩣(↹⩛14445⪃⊛⇣↹⩛25014⩇∃⫛(≦∁↹⩛24144)))⊴⇁⪶","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2116,"operation_count":7,"complexity_ratio":302.2857142857143,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":8701,"base":6},"right_expr":{"type":"numeric_atoms","value":6802,"base":6}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2333,"base":6},"right_expr":{"type":"numeric_atoms","value":3682,"base":6}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3520,"base":6}}}}},"used_operators":["oo9mF6JIpo","JxwMv5le6e","SLLxy00UIr","wscyQdcy20","1aApVXNlOP","rrgAzCduG9","9ICcGScMcE"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8701","layer":4},{"info":"number node, value=6802","layer":4},{"info":"compute binary expreesion, left_input=8701, right_input=6802, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-12502","layer":3},{"info":"compute unary expreesion, input=-12502, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=2333","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=3682, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=3520","layer":4},{"info":"compute unary expreesion, input=3520, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3520","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3520, 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=2759","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=2759, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⇈(↹⩛104141⫦⪉↹⩛51254))⨼⩣(↹⩛14445⪃⊛⇣↹⩛25014⩇∃⫛(≦∁↹⩛24144)))⊴⇁⪶=NaN","reverse_text":"NaN=((⇈(↹⩛104141⫦⪉↹⩛51254))⨼⩣(↹⩛14445⪃⊛⇣↹⩛25014⩇∃⫛(≦∁↹⩛24144)))⊴⇁⪶","cot":[{"info":"↹⩛104141⫦⪉↹⩛51254=↹⩛-133514","layer":3},{"info":"⇈↹⩛-133514=↹⩛-2023","layer":2},{"info":"↹⩛14445⪃⊛⇣↹⩛25014=↹⩛5414","layer":3},{"info":"≦∁↹⩛24144=↹⩛24144","layer":3},{"info":"↹⩛5414⩇∃⫛↹⩛24144=↹⩛20435","layer":2},{"info":"↹⩛-2023⨼⩣↹⩛20435=NaN","layer":1},{"info":"NaN⊴⇁⪶=NaN","layer":0}]} +{"id":342,"expression_no_base_symbol":"⇺⋃(($2360$⨭⪣$5261$)≁↽≥($1093$⇞)≁($6364$⊱⇼⊻$1691$⊔($4125$⋥≓≎$2837$)))","expression":"⇺⋃((↹⩛14532⨭⪣↹⩛40205)≁↽≥(↹⩛5021⇞)≁(↹⩛45244⊱⇼⊻↹⩛11455⊔(↹⩛31033⋥≓≎↹⩛21045)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":223,"operation_count":8,"complexity_ratio":27.875,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2360,"base":6},"right_expr":{"type":"numeric_atoms","value":5261,"base":6}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1093,"base":6}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6364,"base":6},"right_expr":{"type":"numeric_atoms","value":1691,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4125,"base":6},"right_expr":{"type":"numeric_atoms","value":2837,"base":6}}}}},"used_operators":["E5v5B3UAjG","8N2wDY1A35","ncHt1X6cMc","kn8WO9XteQ","5JYyxRJd4f","E4l6HwMY31","FyVja0WsTP","Qy55tPpLXF"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","oWn0xqSxBt","3Oe9XWJUTD","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2360","layer":4},{"info":"number node, value=5261","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=5261, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1081","layer":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=4285","layer":3},{"info":"compute binary expreesion, left_input=1081, right_input=4285, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26147","layer":2},{"info":"number node, value=6364","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=6364, right_input=1691, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=4125","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=2837, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1582","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=1582, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6378","layer":2},{"info":"compute binary expreesion, left_input=26147, right_input=6378, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=139871","layer":1},{"info":"compute unary expreesion, input=139871, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇺⋃((↹⩛14532⨭⪣↹⩛40205)≁↽≥(↹⩛5021⇞)≁(↹⩛45244⊱⇼⊻↹⩛11455⊔(↹⩛31033⋥≓≎↹⩛21045)))=NaN","reverse_text":"NaN=⇺⋃((↹⩛14532⨭⪣↹⩛40205)≁↽≥(↹⩛5021⇞)≁(↹⩛45244⊱⇼⊻↹⩛11455⊔(↹⩛31033⋥≓≎↹⩛21045)))","cot":[{"info":"↹⩛14532⨭⪣↹⩛40205=↹⩛5001","layer":3},{"info":"↹⩛5021⇞=↹⩛31501","layer":3},{"info":"↹⩛5001≁↽≥↹⩛31501=↹⩛321015","layer":2},{"info":"↹⩛45244⊱⇼⊻↹⩛11455=↹⩛2002","layer":3},{"info":"↹⩛31033⋥≓≎↹⩛21045=↹⩛11154","layer":3},{"info":"↹⩛2002⊔↹⩛11154=↹⩛45310","layer":2},{"info":"↹⩛321015≁↹⩛45310=↹⩛2555315","layer":1},{"info":"⇺⋃↹⩛2555315=NaN","layer":0}]} +{"id":343,"expression_no_base_symbol":"(⩦⩻⨪($5141$⩢≌)⨑⩅≇($1371$⨎$1237$))⊬⨰(($2399$≨$5578$∷$1584$⫥∨⫟$6464$)∙⊟$3012$⩼⇪↪$7241$⨚(∥⊫$7205$))","expression":"(⩦⩻⨪(↹⩛35445⩢≌)⨑⩅≇(↹⩛10203⨎↹⩛5421))⊬⨰((↹⩛15035≨↹⩛41454∷↹⩛11200⫥∨⫟↹⩛45532)∙⊟↹⩛21540⩼⇪↪↹⩛53305⨚(∥⊫↹⩛53205))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1841,"operation_count":12,"complexity_ratio":153.41666666666666,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":5141,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1371,"base":6},"right_expr":{"type":"numeric_atoms","value":1237,"base":6}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2399,"base":6},"right_expr":{"type":"numeric_atoms","value":5578,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1584,"base":6},"right_expr":{"type":"numeric_atoms","value":6464,"base":6}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3012,"base":6},"right_expr":{"type":"numeric_atoms","value":7241,"base":6}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7205,"base":6}}}}},"used_operators":["s3Fd5m9Dh2","2td37pGCOC","h92wMvzauj","D617RFjZIq","rJVOvQCfKK","SxTAKzQCrw","D3AQDKkPcf","0KMCeP1Jsh","KYD54nUTWz","nREPSIbpBE","ocnLzx9CaJ","P8v4zCKN1o"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","hTbEZDJLEm","o20kRiQErp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","8HhzD0ZcuI","rGHVDoGpnC","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5141","layer":4},{"info":"compute unary expreesion, input=5141, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=1237, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1237","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1237, 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=-339","layer":2},{"info":"compute unary expreesion, input=-339, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-339","layer":1},{"info":"number node, value=2399","layer":4},{"info":"number node, value=5578","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=5578, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-21514","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=6464","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=6464, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21514, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"number node, value=3012","layer":4},{"info":"number node, value=7241","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=7241, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-45446","layer":3},{"info":"number node, value=7205","layer":4},{"info":"compute unary expreesion, input=7205, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8073","layer":3},{"info":"compute binary expreesion, left_input=-45446, right_input=8073, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-122250","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-122250, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-339, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪(↹⩛35445⩢≌)⨑⩅≇(↹⩛10203⨎↹⩛5421))⊬⨰((↹⩛15035≨↹⩛41454∷↹⩛11200⫥∨⫟↹⩛45532)∙⊟↹⩛21540⩼⇪↪↹⩛53305⨚(∥⊫↹⩛53205))=NaN","reverse_text":"NaN=(⩦⩻⨪(↹⩛35445⩢≌)⨑⩅≇(↹⩛10203⨎↹⩛5421))⊬⨰((↹⩛15035≨↹⩛41454∷↹⩛11200⫥∨⫟↹⩛45532)∙⊟↹⩛21540⩼⇪↪↹⩛53305⨚(∥⊫↹⩛53205))","cot":[{"info":"↹⩛35445⩢≌=↹⩛305","layer":3},{"info":"↹⩛10203⨎↹⩛5421=↹⩛5421","layer":3},{"info":"↹⩛305⨑⩅≇↹⩛5421=↹⩛-1323","layer":2},{"info":"⩦⩻⨪↹⩛-1323=↹⩛-1323","layer":1},{"info":"↹⩛15035≨↹⩛41454=↹⩛-243334","layer":3},{"info":"↹⩛11200⫥∨⫟↹⩛45532=NaN","layer":3},{"info":"↹⩛-243334∷NaN=NaN","layer":2},{"info":"↹⩛21540⩼⇪↪↹⩛53305=↹⩛-550222","layer":3},{"info":"∥⊫↹⩛53205=↹⩛101213","layer":3},{"info":"↹⩛-550222⨚↹⩛101213=↹⩛-2341550","layer":2},{"info":"NaN∙⊟↹⩛-2341550=NaN","layer":1},{"info":"↹⩛-1323⊬⨰NaN=NaN","layer":0}]} +{"id":344,"expression_no_base_symbol":"⇵⪽(⨈⫕($4033$⋖∅⋲)⊬⨰($4051$⋣⋖$1427$))","expression":"⇵⪽(⨈⫕(↹⩛30401⋖∅⋲)⊬⨰(↹⩛30431⋣⋖↹⩛10335))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1004,"operation_count":5,"complexity_ratio":200.8,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":4033,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4051,"base":6},"right_expr":{"type":"numeric_atoms","value":1427,"base":6}}}}},"used_operators":["ZGCBLdVRRX","megm06wKyl","s3Fd5m9Dh2","L95AwlJzhO","J0M6qkBnIM"],"dependent_operators":["U7g4x0WXJJ","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":4},{"info":"compute unary expreesion, input=4033, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=4051","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=1427, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4051","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=4051, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-752258","layer":2},{"info":"compute unary expreesion, input=-752258, 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":"compute unary expreesion, input=-21, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽(⨈⫕(↹⩛30401⋖∅⋲)⊬⨰(↹⩛30431⋣⋖↹⩛10335))=NaN","reverse_text":"NaN=⇵⪽(⨈⫕(↹⩛30401⋖∅⋲)⊬⨰(↹⩛30431⋣⋖↹⩛10335))","cot":[{"info":"↹⩛30401⋖∅⋲=↹⩛-12122503","layer":3},{"info":"↹⩛30431⋣⋖↹⩛10335=↹⩛30431","layer":3},{"info":"↹⩛-12122503⊬⨰↹⩛30431=↹⩛-24042402","layer":2},{"info":"⨈⫕↹⩛-24042402=↹⩛-33","layer":1},{"info":"⇵⪽↹⩛-33=NaN","layer":0}]} +{"id":345,"expression_no_base_symbol":"($5064$*$2298$⩹($3618$↠))≌(($1272$⋭≵$2531$)⋾⨃∁($2198$⫸⊐$1072$))≬⋮((↪⫪⫘(∓$1018$))⪎⩰)","expression":"(↹⩛35240*↹⩛14350⩹(↹⩛24430↠))≌((↹⩛5520⋭≵↹⩛15415)⋾⨃∁(↹⩛14102⫸⊐↹⩛4544))≬⋮((↪⫪⫘(∓↹⩛4414))⪎⩰)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7619,"operation_count":11,"complexity_ratio":692.6363636363636,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5064,"base":6},"right_expr":{"type":"numeric_atoms","value":2298,"base":6}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":3618,"base":6}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1272,"base":6},"right_expr":{"type":"numeric_atoms","value":2531,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2198,"base":6},"right_expr":{"type":"numeric_atoms","value":1072,"base":6}}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1018,"base":6}}}}},"used_operators":["kbkesczE7y","lyWz822IDG","2Wsdkap16l","9HNa5Wba9A","LBdsKIvxzf","212REbPD9h","jBncVCNhdl","mqXw5SEYmG","2ufhKmSs5H","9dWsAM3GFt","OwUj7dcsQK"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5064","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=5064, right_input=2298, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11637072","layer":3},{"info":"number node, value=3618","layer":4},{"info":"compute unary expreesion, input=3618, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=11637072, right_input=-447, 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=-449","layer":2},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2531, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2198","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=1072, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4163","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=4163, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=173255640","layer":2},{"info":"compute binary expreesion, left_input=-449, right_input=173255640, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-20142","layer":3},{"info":"compute unary expreesion, input=-20142, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-12081","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12081, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35240*↹⩛14350⩹(↹⩛24430↠))≌((↹⩛5520⋭≵↹⩛15415)⋾⨃∁(↹⩛14102⫸⊐↹⩛4544))≬⋮((↪⫪⫘(∓↹⩛4414))⪎⩰)=↹⩛4004","reverse_text":"↹⩛4004=(↹⩛35240*↹⩛14350⩹(↹⩛24430↠))≌((↹⩛5520⋭≵↹⩛15415)⋾⨃∁(↹⩛14102⫸⊐↹⩛4544))≬⋮((↪⫪⫘(∓↹⩛4414))⪎⩰)","cot":[{"info":"↹⩛35240*↹⩛14350=↹⩛1053231200","layer":3},{"info":"↹⩛24430↠=↹⩛-2023","layer":3},{"info":"↹⩛1053231200⩹↹⩛-2023=↹⩛-2025","layer":2},{"info":"↹⩛5520⋭≵↹⩛15415=↹⩛151","layer":3},{"info":"↹⩛14102⫸⊐↹⩛4544=↹⩛31135","layer":3},{"info":"↹⩛151⋾⨃∁↹⩛31135=↹⩛25105245240","layer":2},{"info":"↹⩛-2025≌↹⩛25105245240=NaN","layer":1},{"info":"∓↹⩛4414=↹⩛-233130","layer":3},{"info":"↪⫪⫘↹⩛-233130=↹⩛32","layer":2},{"info":"↹⩛32⪎⩰=↹⩛-131533","layer":1},{"info":"NaN≬⋮↹⩛-131533=↹⩛4004","layer":0}]} +{"id":346,"expression_no_base_symbol":"(($1200$≀⩗∶$3467$)⊊)⩨($1161$≓∲$1662$)⫲≸⪮($2251$⊅)%(≋($5106$⇍⊗$3497$↱($3548$∙∹∝$1830$)))","expression":"((↹⩛5320≀⩗∶↹⩛24015)⊊)⩨(↹⩛5213≓∲↹⩛11410)⫲≸⪮(↹⩛14231⊅)%(≋(↹⩛35350⇍⊗↹⩛24105↱(↹⩛24232∙∹∝↹⩛12250)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12911,"operation_count":11,"complexity_ratio":1173.7272727272727,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1200,"base":6},"right_expr":{"type":"numeric_atoms","value":3467,"base":6}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1161,"base":6},"right_expr":{"type":"numeric_atoms","value":1662,"base":6}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":2251,"base":6}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5106,"base":6},"right_expr":{"type":"numeric_atoms","value":3497,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3548,"base":6},"right_expr":{"type":"numeric_atoms","value":1830,"base":6}}}}},"used_operators":["k8jYdgA6NY","2DlMacCsIx","W9R8I5fN5A","8INZBEW696","P3lXMJvFrc","s1XTVnmDOJ","7p6YLioM7f","61wBmkZwlr","SR5kFfdi6N","5uvYHDjeKN","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","7j4O788W3g","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=3467, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=1662, 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=12393","layer":3},{"info":"number node, value=2251","layer":4},{"info":"compute unary expreesion, input=2251, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=12393, right_input=-174, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=12393","layer":2},{"info":"compute binary expreesion, left_input=90927, right_input=12393, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=5106","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=5106, right_input=3497, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=3548","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=1830, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=0, 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=15670","layer":2},{"info":"compute unary expreesion, input=15670, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=15670","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=15670, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5320≀⩗∶↹⩛24015)⊊)⩨(↹⩛5213≓∲↹⩛11410)⫲≸⪮(↹⩛14231⊅)%(≋(↹⩛35350⇍⊗↹⩛24105↱(↹⩛24232∙∹∝↹⩛12250)))=↹⩛0","reverse_text":"↹⩛0=((↹⩛5320≀⩗∶↹⩛24015)⊊)⩨(↹⩛5213≓∲↹⩛11410)⫲≸⪮(↹⩛14231⊅)%(≋(↹⩛35350⇍⊗↹⩛24105↱(↹⩛24232∙∹∝↹⩛12250)))","cot":[{"info":"↹⩛5320≀⩗∶↹⩛24015=↹⩛-10","layer":3},{"info":"↹⩛-10⊊=↹⩛1540543","layer":2},{"info":"↹⩛5213≓∲↹⩛11410=↹⩛133213","layer":3},{"info":"↹⩛14231⊅=↹⩛-450","layer":3},{"info":"↹⩛133213⫲≸⪮↹⩛-450=↹⩛133213","layer":2},{"info":"↹⩛1540543⩨↹⩛133213=↹⩛0","layer":1},{"info":"↹⩛35350⇍⊗↹⩛24105=↹⩛-1044","layer":3},{"info":"↹⩛24232∙∹∝↹⩛12250=↹⩛0","layer":3},{"info":"↹⩛-1044↱↹⩛0=↹⩛200314","layer":2},{"info":"≋↹⩛200314=↹⩛200314","layer":1},{"info":"↹⩛0%↹⩛200314=↹⩛0","layer":0}]} +{"id":347,"expression_no_base_symbol":"(($5651$⪚⩙≫)⨻⩈⩔$3406$⫞⩸⩒$3394$⨭⪣$3918$⪇≇⋚$2935$≃($5304$⋻⩜⩜$1519$))≁(($3824$⨵⪆$1099$)⨔⇊($1103$⫌⩉⩟$1695$)⨰(($6311$⫳≱↱$1078$)⊹∫⫚($1085$⫠)))","expression":"((↹⩛42055⪚⩙≫)⨻⩈⩔↹⩛23434⫞⩸⩒↹⩛23414⨭⪣↹⩛30050⪇≇⋚↹⩛21331≃(↹⩛40320⋻⩜⩜↹⩛11011))≁((↹⩛25412⨵⪆↹⩛5031)⨔⇊(↹⩛5035⫌⩉⩟↹⩛11503)⨰((↹⩛45115⫳≱↱↹⩛4554)⊹∫⫚(↹⩛5005⫠)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":45419,"operation_count":15,"complexity_ratio":3027.9333333333334,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":5651,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3406,"base":6},"right_expr":{"type":"numeric_atoms","value":3394,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3918,"base":6},"right_expr":{"type":"numeric_atoms","value":2935,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5304,"base":6},"right_expr":{"type":"numeric_atoms","value":1519,"base":6}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3824,"base":6},"right_expr":{"type":"numeric_atoms","value":1099,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1103,"base":6},"right_expr":{"type":"numeric_atoms","value":1695,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6311,"base":6},"right_expr":{"type":"numeric_atoms","value":1078,"base":6}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1085,"base":6}}}}},"used_operators":["8N2wDY1A35","kn8WO9XteQ","nEsXyWgiOK","4n53wtyJvv","XGcMNugi78","YbVcJGFEVW","3sJ7IOPOlU","oDCm7WA9JY","eewbuw0ToL","JclMnS0uGI","2DQ55sFlQl","XIIwhv8d0m","uWAJUKEvyW","ZvLB05nZmT","6SnOT2rOjz"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5651","layer":4},{"info":"compute unary expreesion, input=5651, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=3406","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=3394, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3394, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=3918","layer":4},{"info":"number node, value=2935","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=2935, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=5304","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=1519, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10608","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10608, 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=-40","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-40, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"number node, value=3824","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=1099, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1695, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-50, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-50","layer":2},{"info":"number node, value=6311","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=6311, right_input=1078, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-40","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-40, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛42055⪚⩙≫)⨻⩈⩔↹⩛23434⫞⩸⩒↹⩛23414⨭⪣↹⩛30050⪇≇⋚↹⩛21331≃(↹⩛40320⋻⩜⩜↹⩛11011))≁((↹⩛25412⨵⪆↹⩛5031)⨔⇊(↹⩛5035⫌⩉⩟↹⩛11503)⨰((↹⩛45115⫳≱↱↹⩛4554)⊹∫⫚(↹⩛5005⫠)))=NaN","reverse_text":"NaN=((↹⩛42055⪚⩙≫)⨻⩈⩔↹⩛23434⫞⩸⩒↹⩛23414⨭⪣↹⩛30050⪇≇⋚↹⩛21331≃(↹⩛40320⋻⩜⩜↹⩛11011))≁((↹⩛25412⨵⪆↹⩛5031)⨔⇊(↹⩛5035⫌⩉⩟↹⩛11503)⨰((↹⩛45115⫳≱↱↹⩛4554)⊹∫⫚(↹⩛5005⫠)))","cot":[{"info":"↹⩛42055⪚⩙≫=NaN","layer":3},{"info":"↹⩛23434⫞⩸⩒↹⩛23414=↹⩛23414","layer":3},{"info":"NaN⨻⩈⩔↹⩛23414=NaN","layer":2},{"info":"↹⩛30050⪇≇⋚↹⩛21331=↹⩛0","layer":3},{"info":"↹⩛40320⋻⩜⩜↹⩛11011=↹⩛121040","layer":3},{"info":"↹⩛0≃↹⩛121040=↹⩛-104","layer":2},{"info":"NaN⨭⪣↹⩛-104=NaN","layer":1},{"info":"↹⩛25412⨵⪆↹⩛5031=↹⩛424","layer":3},{"info":"↹⩛5035⫌⩉⩟↹⩛11503=↹⩛-122","layer":3},{"info":"↹⩛424⨔⇊↹⩛-122=↹⩛-122","layer":2},{"info":"↹⩛45115⫳≱↱↹⩛4554=↹⩛-540","layer":3},{"info":"↹⩛5005⫠=↹⩛0","layer":3},{"info":"↹⩛-540⊹∫⫚↹⩛0=↹⩛0","layer":2},{"info":"↹⩛-122⨰↹⩛0=↹⩛-104","layer":1},{"info":"NaN≁↹⩛-104=NaN","layer":0}]} +{"id":348,"expression_no_base_symbol":"(⪡⇡≛($4265$⪃⊛⇣$2711$⊲⩕⊾($1958$⨚⇆$2075$)))∣(⩰$4469$∓⋝$6057$)≎⪠(($3369$⋻⩜⩜$1622$)⊲⩕⊾($5382$∖$2013$))","expression":"(⪡⇡≛(↹⩛31425⪃⊛⇣↹⩛20315⊲⩕⊾(↹⩛13022⨚⇆↹⩛13335)))∣(⩰↹⩛32405∓⋝↹⩛44013)≎⪠((↹⩛23333⋻⩜⩜↹⩛11302)⊲⩕⊾(↹⩛40530∖↹⩛13153))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56603,"operation_count":11,"complexity_ratio":5145.727272727273,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4265,"base":6},"right_expr":{"type":"numeric_atoms","value":2711,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1958,"base":6},"right_expr":{"type":"numeric_atoms","value":2075,"base":6}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4469,"base":6},"right_expr":{"type":"numeric_atoms","value":6057,"base":6}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3369,"base":6},"right_expr":{"type":"numeric_atoms","value":1622,"base":6}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5382,"base":6},"right_expr":{"type":"numeric_atoms","value":2013,"base":6}}}}},"used_operators":["PPChnnnBFF","qL4PrbW1Dq","DmTXOeWf9t","rrgAzCduG9","lwHaAYXP2r","aNhz54LH3e","WkeUrDK8WX","PoHhknlbAi","oDCm7WA9JY","tXD093vOjl"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=2711, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1958","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=2075, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":1},{"info":"number node, value=4469","layer":4},{"info":"number node, value=6057","layer":4},{"info":"compute binary expreesion, left_input=4469, right_input=6057, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1067","layer":2},{"info":"number node, value=3369","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=3369, right_input=1622, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6738","layer":3},{"info":"number node, value=5382","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=5382, right_input=2013, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6738, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-99278","layer":2},{"info":"compute binary expreesion, left_input=-1067, right_input=-99278, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪡⇡≛(↹⩛31425⪃⊛⇣↹⩛20315⊲⩕⊾(↹⩛13022⨚⇆↹⩛13335)))∣(⩰↹⩛32405∓⋝↹⩛44013)≎⪠((↹⩛23333⋻⩜⩜↹⩛11302)⊲⩕⊾(↹⩛40530∖↹⩛13153))=NaN","reverse_text":"NaN=(⪡⇡≛(↹⩛31425⪃⊛⇣↹⩛20315⊲⩕⊾(↹⩛13022⨚⇆↹⩛13335)))∣(⩰↹⩛32405∓⋝↹⩛44013)≎⪠((↹⩛23333⋻⩜⩜↹⩛11302)⊲⩕⊾(↹⩛40530∖↹⩛13153))","cot":[{"info":"↹⩛31425⪃⊛⇣↹⩛20315=↹⩛5414","layer":3},{"info":"↹⩛13022⨚⇆↹⩛13335=NaN","layer":3},{"info":"↹⩛5414⊲⩕⊾NaN=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"↹⩛32405∓⋝↹⩛44013=↹⩛151","layer":3},{"info":"⩰↹⩛151=↹⩛-4535","layer":2},{"info":"↹⩛23333⋻⩜⩜↹⩛11302=↹⩛51110","layer":3},{"info":"↹⩛40530∖↹⩛13153=↹⩛0","layer":3},{"info":"↹⩛51110⊲⩕⊾↹⩛0=↹⩛-2043342","layer":2},{"info":"↹⩛-4535≎⪠↹⩛-2043342=↹⩛230314","layer":1},{"info":"NaN∣↹⩛230314=NaN","layer":0}]} +{"id":349,"expression_no_base_symbol":"≦∁($1163$⩍⋽⫝̸$2599$⨰(↨$3711$)⇉⇉)","expression":"≦∁(↹⩛5215⩍⋽⫝̸↹⩛20011⨰(↨↹⩛25103)⇉⇉)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":229,"operation_count":5,"complexity_ratio":45.8,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1163,"base":6},"right_expr":{"type":"numeric_atoms","value":2599,"base":6}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":3711,"base":6}}}}},"used_operators":["9ICcGScMcE","diKm42VcIt","eewbuw0ToL","BiWNJpBvwn","jiX4gk2v2Q"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=2599, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1653","layer":3},{"info":"number node, value=3711","layer":4},{"info":"compute unary expreesion, input=3711, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1653, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≦∁(↹⩛5215⩍⋽⫝̸↹⩛20011⨰(↨↹⩛25103)⇉⇉)=NaN","reverse_text":"NaN=≦∁(↹⩛5215⩍⋽⫝̸↹⩛20011⨰(↨↹⩛25103)⇉⇉)","cot":[{"info":"↹⩛5215⩍⋽⫝̸↹⩛20011=↹⩛11353","layer":3},{"info":"↨↹⩛25103=NaN","layer":3},{"info":"↹⩛11353⨰NaN=NaN","layer":2},{"info":"NaN⇉⇉=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]} +{"id":350,"expression_no_base_symbol":"(($1434$⪮%⊝$2424$≒∊(⪡⇡≛$3704$))⨜⨶($5021$⇂≾⫗$1222$⪁(⊖∈$5015$)))∺≝⩲(⫵↿(∤↝$7806$+⪬∐$4893$))","expression":"((↹⩛10350⪮%⊝↹⩛15120≒∊(⪡⇡≛↹⩛25052))⨜⨶(↹⩛35125⇂≾⫗↹⩛5354⪁(⊖∈↹⩛35115)))∺≝⩲(⫵↿(∤↝↹⩛100050+⪬∐↹⩛34353))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":95647,"operation_count":11,"complexity_ratio":8695.181818181818,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1434,"base":6},"right_expr":{"type":"numeric_atoms","value":2424,"base":6}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3704,"base":6}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5021,"base":6},"right_expr":{"type":"numeric_atoms","value":1222,"base":6}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5015,"base":6}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":7806,"base":6},"right_expr":{"type":"numeric_atoms","value":4893,"base":6}}}}},"used_operators":["KPf6cnQVty","HiPekx5b7W","5KTvxBwnZo","IWmyXbctLI","qL4PrbW1Dq","I7sXao9hZE","aBQ6xLxuTc","YFxL8Sc2Zy","ivGwdmUAux","3UMq87Qwqg","2GS7woTJqF"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","g55IO6H4Gj","D4vGDi5EA2"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=2424, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3184","layer":3},{"info":"number node, value=3704","layer":4},{"info":"compute unary expreesion, input=3704, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3704","layer":3},{"info":"compute binary expreesion, left_input=3184, right_input=-3704, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2700","layer":2},{"info":"number node, value=5021","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=1222, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=5015","layer":4},{"info":"compute unary expreesion, input=5015, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=94706","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=94706, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2700, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=7806","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=7806, right_input=4893, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-23418","layer":3},{"info":"compute unary expreesion, input=-23418, 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=-23418","layer":2},{"info":"compute unary expreesion, input=-23418, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10350⪮%⊝↹⩛15120≒∊(⪡⇡≛↹⩛25052))⨜⨶(↹⩛35125⇂≾⫗↹⩛5354⪁(⊖∈↹⩛35115)))∺≝⩲(⫵↿(∤↝↹⩛100050+⪬∐↹⩛34353))=↹⩛424","reverse_text":"↹⩛424=((↹⩛10350⪮%⊝↹⩛15120≒∊(⪡⇡≛↹⩛25052))⨜⨶(↹⩛35125⇂≾⫗↹⩛5354⪁(⊖∈↹⩛35115)))∺≝⩲(⫵↿(∤↝↹⩛100050+⪬∐↹⩛34353))","cot":[{"info":"↹⩛10350⪮%⊝↹⩛15120=↹⩛22424","layer":3},{"info":"⪡⇡≛↹⩛25052=↹⩛-25052","layer":3},{"info":"↹⩛22424≒∊↹⩛-25052=↹⩛-20300","layer":2},{"info":"↹⩛35125⇂≾⫗↹⩛5354=↹⩛-3044","layer":3},{"info":"⊖∈↹⩛35115=↹⩛2010242","layer":3},{"info":"↹⩛-3044⪁↹⩛2010242=NaN","layer":2},{"info":"↹⩛-20300⨜⨶NaN=NaN","layer":1},{"info":"↹⩛100050+⪬∐↹⩛34353=↹⩛-300230","layer":3},{"info":"∤↝↹⩛-300230=↹⩛-300230","layer":2},{"info":"⫵↿↹⩛-300230=↹⩛345","layer":1},{"info":"NaN∺≝⩲↹⩛345=↹⩛424","layer":0}]} +{"id":351,"expression_no_base_symbol":"⊢≑≆((⊖$2864$)⫞⩸⩒(⊀$4139$)↹⊜(⩷$1144$∴$1533$))","expression":"⊢≑≆((⊖↹⩛21132)⫞⩸⩒(⊀↹⩛31055)↹⊜(⩷↹⩛5144∴↹⩛11033))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":103,"operation_count":7,"complexity_ratio":14.714285714285714,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2864,"base":6}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":4139,"base":6}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1144,"base":6},"right_expr":{"type":"numeric_atoms","value":1533,"base":6}}}}},"used_operators":["27wFxooxGf","9bazX3JMtO","XGcMNugi78","U6pG0PXrV3","oPMjh9089D","1h0rLqGiFr","hrf7POJlIJ"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"↹⩛31004152","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2864","layer":4},{"info":"compute unary expreesion, input=2864, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=4139","layer":4},{"info":"compute unary expreesion, input=4139, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=16294","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16294, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=16294","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1533, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3936","layer":3},{"info":"compute unary expreesion, input=3936, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-47311","layer":2},{"info":"compute binary expreesion, left_input=16294, right_input=-47311, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=221736","layer":1},{"info":"compute unary expreesion, input=221736, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=887396","layer":0}],"base":6,"result_base":6,"text":"⊢≑≆((⊖↹⩛21132)⫞⩸⩒(⊀↹⩛31055)↹⊜(⩷↹⩛5144∴↹⩛11033))=↹⩛31004152","reverse_text":"↹⩛31004152=⊢≑≆((⊖↹⩛21132)⫞⩸⩒(⊀↹⩛31055)↹⊜(⩷↹⩛5144∴↹⩛11033))","cot":[{"info":"⊖↹⩛21132=↹⩛0","layer":3},{"info":"⊀↹⩛31055=↹⩛203234","layer":3},{"info":"↹⩛0⫞⩸⩒↹⩛203234=↹⩛203234","layer":2},{"info":"↹⩛5144∴↹⩛11033=↹⩛30120","layer":3},{"info":"⩷↹⩛30120=↹⩛-1003011","layer":2},{"info":"↹⩛203234↹⊜↹⩛-1003011=↹⩛4430320","layer":1},{"info":"⊢≑≆↹⩛4430320=↹⩛31004152","layer":0}]} +{"id":352,"expression_no_base_symbol":"⋠∜(($4394$⋷$1492$)⨓$4184$⩇∃⫛$5436$)⪔⊥(($1151$⪭≯$2447$)⩁)","expression":"⋠∜((↹⩛32202⋷↹⩛10524)⨓↹⩛31212⩇∃⫛↹⩛41100)⪔⊥((↹⩛5155⪭≯↹⩛15155)⩁)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1988,"operation_count":7,"complexity_ratio":284.0,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4394,"base":6},"right_expr":{"type":"numeric_atoms","value":1492,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4184,"base":6},"right_expr":{"type":"numeric_atoms","value":5436,"base":6}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1151,"base":6},"right_expr":{"type":"numeric_atoms","value":2447,"base":6}}}}},"used_operators":["ZJpFhNJr3x","HJ9erzHUuu","3ViojmjbAp","23Mk6UjR3U","1aApVXNlOP","5GqDbVmqXU","XAx5wpdLa6"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4394","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1492, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1410","layer":3},{"info":"number node, value=4184","layer":4},{"info":"number node, value=5436","layer":4},{"info":"compute binary expreesion, left_input=4184, right_input=5436, 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=1725","layer":3},{"info":"compute binary expreesion, left_input=-1410, right_input=1725, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1728","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=2447, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1728, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":0}],"base":6,"result_base":6,"text":"⋠∜((↹⩛32202⋷↹⩛10524)⨓↹⩛31212⩇∃⫛↹⩛41100)⪔⊥((↹⩛5155⪭≯↹⩛15155)⩁)=↹⩛151","reverse_text":"↹⩛151=⋠∜((↹⩛32202⋷↹⩛10524)⨓↹⩛31212⩇∃⫛↹⩛41100)⪔⊥((↹⩛5155⪭≯↹⩛15155)⩁)","cot":[{"info":"↹⩛32202⋷↹⩛10524=↹⩛-10310","layer":3},{"info":"↹⩛31212⩇∃⫛↹⩛41100=↹⩛11553","layer":3},{"info":"↹⩛-10310⨓↹⩛11553=↹⩛-12000","layer":2},{"info":"↹⩛5155⪭≯↹⩛15155=NaN","layer":3},{"info":"NaN⩁=NaN","layer":2},{"info":"↹⩛-12000⪔⊥NaN=NaN","layer":1},{"info":"⋠∜NaN=↹⩛151","layer":0}]} +{"id":353,"expression_no_base_symbol":"(⨣⨃⇪($1001$⇀∌)⩦(⊈$6742$))⩇∃⫛((($1059$⊨$2181$)⩱)⩷∴((⩦⊞$3896$)⪑⩈))","expression":"(⨣⨃⇪(↹⩛4345⇀∌)⩦(⊈↹⩛51114))⩇∃⫛(((↹⩛4523⊨↹⩛14033)⩱)⩷∴((⩦⊞↹⩛30012)⪑⩈))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":165,"operation_count":10,"complexity_ratio":16.5,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":1001,"base":6}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":6742,"base":6}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1059,"base":6},"right_expr":{"type":"numeric_atoms","value":2181,"base":6}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3896,"base":6}}}}},"used_operators":["1aApVXNlOP","AcOhelriW5","0kmYd0q39Y","2k53nXOpI5","RHru8klgy8","9FxExcQeMw","uyq1hVkAcj","vg4gO5BX6G","C6VvDP6HwP","u7fv1HBiaC"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"↹⩛-1313154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=6742","layer":4},{"info":"compute unary expreesion, input=6742, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-6916","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-6916, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=226","layer":2},{"info":"compute unary expreesion, input=226, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2181, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5267","layer":3},{"info":"compute unary expreesion, input=5267, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-31852","layer":2},{"info":"number node, value=3896","layer":4},{"info":"compute unary expreesion, input=3896, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3623","layer":3},{"info":"compute unary expreesion, input=-3623, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=3665","layer":2},{"info":"compute binary expreesion, left_input=-31852, right_input=3665, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-71066","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=-71066, 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=-71998","layer":0}],"base":6,"result_base":6,"text":"(⨣⨃⇪(↹⩛4345⇀∌)⩦(⊈↹⩛51114))⩇∃⫛(((↹⩛4523⊨↹⩛14033)⩱)⩷∴((⩦⊞↹⩛30012)⪑⩈))=↹⩛-1313154","reverse_text":"↹⩛-1313154=(⨣⨃⇪(↹⩛4345⇀∌)⩦(⊈↹⩛51114))⩇∃⫛(((↹⩛4523⊨↹⩛14033)⩱)⩷∴((⩦⊞↹⩛30012)⪑⩈))","cot":[{"info":"↹⩛4345⇀∌=↹⩛305","layer":3},{"info":"⊈↹⩛51114=↹⩛-52004","layer":3},{"info":"↹⩛305⩦↹⩛-52004=↹⩛1014","layer":2},{"info":"⨣⨃⇪↹⩛1014=↹⩛10301","layer":1},{"info":"↹⩛4523⊨↹⩛14033=↹⩛40215","layer":3},{"info":"↹⩛40215⩱=↹⩛-403244","layer":2},{"info":"⩦⊞↹⩛30012=↹⩛-24435","layer":3},{"info":"↹⩛-24435⪑⩈=↹⩛24545","layer":2},{"info":"↹⩛-403244⩷∴↹⩛24545=↹⩛-1305002","layer":1},{"info":"↹⩛10301⩇∃⫛↹⩛-1305002=↹⩛-1313154","layer":0}]} +{"id":354,"expression_no_base_symbol":"(⫶⊄≣($1110$⨒$3169$⫃⨇$1044$⨐⩸⫘$2969$))⨿(⨑⩽⪐($1151$⋅⇍$3598$)⨓($5557$⨎⋸⪻))","expression":"(⫶⊄≣(↹⩛5050⨒↹⩛22401⫃⨇↹⩛4500⨐⩸⫘↹⩛21425))⨿(⨑⩽⪐(↹⩛5155⋅⇍↹⩛24354)⨓(↹⩛41421⨎⋸⪻))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11739,"operation_count":9,"complexity_ratio":1304.3333333333333,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1110,"base":6},"right_expr":{"type":"numeric_atoms","value":3169,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1044,"base":6},"right_expr":{"type":"numeric_atoms","value":2969,"base":6}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1151,"base":6},"right_expr":{"type":"numeric_atoms","value":3598,"base":6}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":5557,"base":6}}}}},"used_operators":["abYXlopdE0","wxb3vTeyAj","09Ly4LVMIf","y75s1iXyHd","fu6greOZ01","AF7qkfDlqP","3ViojmjbAp","AdZkA7nFnk","Dk5vyLCiGd"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","IWmyXbctLI"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=3169, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6288","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2969, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6288, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a��a)⊍)) }', output=nan","layer":1},{"info":"number node, value=1151","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=3598, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=5557","layer":4},{"info":"compute unary expreesion, input=5557, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=11430","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=11430, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-11433","layer":2},{"info":"compute unary expreesion, input=-11433, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=23655","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23655, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(⫶⊄≣(↹⩛5050⨒↹⩛22401⫃⨇↹⩛4500⨐⩸⫘↹⩛21425))⨿(⨑⩽⪐(↹⩛5155⋅⇍↹⩛24354)⨓(↹⩛41421⨎⋸⪻))=↹⩛151","reverse_text":"↹⩛151=(⫶⊄≣(↹⩛5050⨒↹⩛22401⫃⨇↹⩛4500⨐⩸⫘↹⩛21425))⨿(⨑⩽⪐(↹⩛5155⋅⇍↹⩛24354)⨓(↹⩛41421⨎⋸⪻))","cot":[{"info":"↹⩛5050⨒↹⩛22401=↹⩛-45040","layer":3},{"info":"↹⩛4500⨐⩸⫘↹⩛21425=NaN","layer":3},{"info":"↹⩛-45040⫃⨇NaN=NaN","layer":2},{"info":"⫶⊄≣NaN=NaN","layer":1},{"info":"↹⩛5155⋅⇍↹⩛24354=↹⩛-34","layer":3},{"info":"↹⩛41421⨎⋸⪻=↹⩛124530","layer":3},{"info":"↹⩛-34⨓↹⩛124530=↹⩛-124533","layer":2},{"info":"⨑⩽⪐↹⩛-124533=↹⩛301303","layer":1},{"info":"NaN⨿↹⩛301303=↹⩛151","layer":0}]} +{"id":355,"expression_no_base_symbol":"(⋗⩬⋾($2256$→⨶⪴$1533$⨒$2021$⨪↰⇹$3843$))⫃⨇(⋗⩬⋾(($2366$≚⋢)∷$1004$⫘$8420$))","expression":"(⋗⩬⋾(↹⩛14240→⨶⪴↹⩛11033⨒↹⩛13205⨪↰⇹↹⩛25443))⫃⨇(⋗⩬⋾((↹⩛14542≚⋢)∷↹⩛4352⫘↹⩛102552))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3374,"operation_count":9,"complexity_ratio":374.8888888888889,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2256,"base":6},"right_expr":{"type":"numeric_atoms","value":1533,"base":6}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2021,"base":6},"right_expr":{"type":"numeric_atoms","value":3843,"base":6}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2366,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":8420,"base":6}}}}},"used_operators":["09Ly4LVMIf","DpFCA1CohY","y75s1iXyHd","bF6eod5Gvf","tmPS8pqC7x","D3AQDKkPcf","MahUMFw56D","48vC8HMD2b"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","8w2t5hMYqp","9FxExcQeMw","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","3ViojmjbAp","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"↹⩛1224451124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2256","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=1533, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4599","layer":3},{"info":"number node, value=2021","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=3843, 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=2021","layer":3},{"info":"compute binary expreesion, left_input=-4599, right_input=2021, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3","layer":1},{"info":"number node, value=2366","layer":4},{"info":"compute unary expreesion, input=2366, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=8420","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=8420, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1185109","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=1185109, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1185109","layer":2},{"info":"compute unary expreesion, input=1185109, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3555327","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=-3555327, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=14221276","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾(↹⩛14240→⨶⪴↹⩛11033⨒↹⩛13205⨪↰⇹↹⩛25443))⫃⨇(⋗⩬⋾((↹⩛14542≚⋢)∷↹⩛4352⫘↹⩛102552))=↹⩛1224451124","reverse_text":"↹⩛1224451124=(⋗⩬⋾(↹⩛14240→⨶⪴↹⩛11033⨒↹⩛13205⨪↰⇹↹⩛25443))⫃⨇(⋗⩬⋾((↹⩛14542≚⋢)∷↹⩛4352⫘↹⩛102552))","cot":[{"info":"↹⩛14240→⨶⪴↹⩛11033=↹⩛-33143","layer":3},{"info":"↹⩛13205⨪↰⇹↹⩛25443=↹⩛13205","layer":3},{"info":"↹⩛-33143⨒↹⩛13205=↹⩛1","layer":2},{"info":"⋗⩬⋾↹⩛1=↹⩛-3","layer":1},{"info":"↹⩛14542≚⋢=↹⩛-225","layer":3},{"info":"↹⩛4352⫘↹⩛102552=↹⩛41222341","layer":3},{"info":"↹⩛-225∷↹⩛41222341=↹⩛41222341","layer":2},{"info":"⋗⩬⋾↹⩛41222341=↹⩛-204111503","layer":1},{"info":"↹⩛-3⫃⨇↹⩛-204111503=↹⩛1224451124","layer":0}]} +{"id":356,"expression_no_base_symbol":"($4908$⨂≜$1524$⋭≵$2384$⊢$1419$)⋭≵(≑⋹(⊽$6599$))⩢≌","expression":"(↹⩛34420⨂≜↹⩛11020⋭≵↹⩛15012⊢↹⩛10323)⋭≵(≑⋹(⊽↹⩛50315))⩢≌","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5396,"operation_count":7,"complexity_ratio":770.8571428571429,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4908,"base":6},"right_expr":{"type":"numeric_atoms","value":1524,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2384,"base":6},"right_expr":{"type":"numeric_atoms","value":1419,"base":6}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":6599,"base":6}}}}},"used_operators":["D617RFjZIq","jBncVCNhdl","k1SHOSEABc","5twsqlHp2o","6B9nyZLogK","QxG7OkqoLX"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4908","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=4908, right_input=1524, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=1419, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5012, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=6599","layer":4},{"info":"compute unary expreesion, input=6599, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=14720","layer":3},{"info":"compute unary expreesion, input=14720, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1650, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-100","layer":1},{"info":"compute unary expreesion, input=-100, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34420⨂≜↹⩛11020⋭≵↹⩛15012⊢↹⩛10323)⋭≵(≑⋹(⊽↹⩛50315))⩢≌=↹⩛305","reverse_text":"↹⩛305=(↹⩛34420⨂≜↹⩛11020⋭≵↹⩛15012⊢↹⩛10323)⋭≵(≑⋹(⊽↹⩛50315))⩢≌","cot":[{"info":"↹⩛34420⨂≜↹⩛11020=NaN","layer":3},{"info":"↹⩛15012⊢↹⩛10323=↹⩛-35112","layer":3},{"info":"NaN⋭≵↹⩛-35112=↹⩛151","layer":2},{"info":"⊽↹⩛50315=↹⩛152052","layer":3},{"info":"≑⋹↹⩛152052=↹⩛11350","layer":2},{"info":"↹⩛151⋭≵↹⩛11350=↹⩛-244","layer":1},{"info":"↹⩛-244⩢≌=↹⩛305","layer":0}]} +{"id":357,"expression_no_base_symbol":"$2749$⊕∕$4986$∋(⫇$2632$)⩧⪆($1063$⪒⊣⊆$2313$⫸⇳$3037$⪡$2334$)⫸⇳(∮(↔($2912$⇣⩺⋵$2399$)))","expression":"↹⩛20421⊕∕↹⩛35030∋(⫇↹⩛20104)⩧⪆(↹⩛4531⪒⊣⊆↹⩛14413⫸⇳↹⩛22021⪡↹⩛14450)⫸⇳(∮(↔(↹⩛21252⇣⩺⋵↹⩛15035)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":750,"operation_count":11,"complexity_ratio":68.18181818181819,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2749,"base":6},"right_expr":{"type":"numeric_atoms","value":4986,"base":6}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2632,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1063,"base":6},"right_expr":{"type":"numeric_atoms","value":2313,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3037,"base":6},"right_expr":{"type":"numeric_atoms","value":2334,"base":6}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2912,"base":6},"right_expr":{"type":"numeric_atoms","value":2399,"base":6}}}}},"used_operators":["gx7XJ7hdpj","Ikt5ks8PT7","ukq6epAj5P","9cloC0Ngie","YjI8oCXuph","eRqsBgTDFp","oraRL2iQuh","CqXKPLVYql","ruOEQAzv1W","F4yD0voBRQ"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eewbuw0ToL","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":4},{"info":"number node, value=4986","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=4986, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2749","layer":3},{"info":"number node, value=2632","layer":4},{"info":"compute unary expreesion, input=2632, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4050","layer":3},{"info":"compute binary expreesion, left_input=2749, right_input=-4050, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-65620","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2313, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2126","layer":3},{"info":"number node, value=3037","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=2334, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=2126, right_input=107, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-65620, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":1},{"info":"number node, value=2912","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=2399, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, 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=-238270","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-238270, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛20421⊕∕↹⩛35030∋(⫇↹⩛20104)⩧⪆(↹⩛4531⪒⊣⊆↹⩛14413⫸⇳↹⩛22021⪡↹⩛14450)⫸⇳(∮(↔(↹⩛21252⇣⩺⋵↹⩛15035)))=↹⩛0","reverse_text":"↹⩛0=↹⩛20421⊕∕↹⩛35030∋(⫇↹⩛20104)⩧⪆(↹⩛4531⪒⊣⊆↹⩛14413⫸⇳↹⩛22021⪡↹⩛14450)⫸⇳(∮(↔(↹⩛21252⇣⩺⋵↹⩛15035)))","cot":[{"info":"↹⩛20421⊕∕↹⩛35030=↹⩛20421","layer":3},{"info":"⫇↹⩛20104=↹⩛-30430","layer":3},{"info":"↹⩛20421∋↹⩛-30430=↹⩛-1223444","layer":2},{"info":"↹⩛4531⪒⊣⊆↹⩛14413=↹⩛13502","layer":3},{"info":"↹⩛22021⪡↹⩛14450=↹⩛255","layer":3},{"info":"↹⩛13502⫸⇳↹⩛255=↹⩛0","layer":2},{"info":"↹⩛-1223444⩧⪆↹⩛0=↹⩛0","layer":1},{"info":"↹⩛21252⇣⩺⋵↹⩛15035=↹⩛-1112","layer":3},{"info":"↔↹⩛-1112=↹⩛-342","layer":2},{"info":"∮↹⩛-342=↹⩛-5035034","layer":1},{"info":"↹⩛0⫸⇳↹⩛-5035034=↹⩛0","layer":0}]} +{"id":358,"expression_no_base_symbol":"(((↑$4729$)⋅⇍($2228$⫔⩽⩺$2350$))⨎($8028$⫠)⪒⊣⊆($3691$⨎$3486$))∑⇟⊟((↩⪖$3150$⋥⋵⩄$6509$)⊜)","expression":"(((↑↹⩛33521)⋅⇍(↹⩛14152⫔⩽⩺↹⩛14514))⨎(↹⩛101100⫠)⪒⊣⊆(↹⩛25031⨎↹⩛24050))∑⇟⊟((↩⪖↹⩛22330⋥⋵⩄↹⩛50045)⊜)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":112556,"operation_count":11,"complexity_ratio":10232.363636363636,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4729,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2228,"base":6},"right_expr":{"type":"numeric_atoms","value":2350,"base":6}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":8028,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3691,"base":6},"right_expr":{"type":"numeric_atoms","value":3486,"base":6}}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3150,"base":6},"right_expr":{"type":"numeric_atoms","value":6509,"base":6}}}}},"used_operators":["U7g4x0WXJJ","rJVOvQCfKK","AdZkA7nFnk","tR7O2zTn5j","i9eR4S00cU","eRqsBgTDFp","6SnOT2rOjz","Eev2Q7dYIw","fG6uBQFnGz","7t3wd0Fuz7"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","W4YGzv6Whe","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4729","layer":4},{"info":"compute unary expreesion, input=4729, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2350, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚��⇥452) , else }', output=-765","layer":2},{"info":"number node, value=8028","layer":4},{"info":"compute unary expreesion, input=8028, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3691","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=3691, right_input=3486, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3486","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3486, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7074","layer":2},{"info":"compute binary expreesion, left_input=-765, right_input=7074, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7074","layer":1},{"info":"number node, value=3150","layer":4},{"info":"number node, value=6509","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=6509, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-3434","layer":2},{"info":"compute unary expreesion, input=-3434, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=20494","layer":1},{"info":"compute binary expreesion, left_input=7074, right_input=20494, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↑↹⩛33521)⋅⇍(↹⩛14152⫔⩽⩺↹⩛14514))⨎(↹⩛101100⫠)⪒⊣⊆(↹⩛25031⨎↹⩛24050))∑⇟⊟((↩⪖↹⩛22330⋥⋵⩄↹⩛50045)⊜)=NaN","reverse_text":"NaN=(((↑↹⩛33521)⋅⇍(↹⩛14152⫔⩽⩺↹⩛14514))⨎(↹⩛101100⫠)⪒⊣⊆(↹⩛25031⨎↹⩛24050))∑⇟⊟((↩⪖↹⩛22330⋥⋵⩄↹⩛50045)⊜)","cot":[{"info":"↑↹⩛33521=↹⩛520","layer":3},{"info":"↹⩛14152⫔⩽⩺↹⩛14514=NaN","layer":3},{"info":"↹⩛520⋅⇍NaN=↹⩛-3313","layer":2},{"info":"↹⩛101100⫠=↹⩛0","layer":3},{"info":"↹⩛25031⨎↹⩛24050=↹⩛24050","layer":3},{"info":"↹⩛0⪒⊣⊆↹⩛24050=↹⩛52430","layer":2},{"info":"↹⩛-3313⨎↹⩛52430=↹⩛52430","layer":1},{"info":"↹⩛22330⋥⋵⩄↹⩛50045=↹⩛305","layer":3},{"info":"↩⪖↹⩛305=↹⩛-23522","layer":2},{"info":"↹⩛-23522⊜=↹⩛234514","layer":1},{"info":"↹⩛52430∑⇟⊟↹⩛234514=NaN","layer":0}]} +{"id":359,"expression_no_base_symbol":"(($1131$⫰⋱$1537$⨑≵⋬$6711$⫸⇳$4145$)⪭(($1262$⩨$1147$)⇪⋭))∴(($8423$⊴$4637$)⇂≾⫗(⪲⇎$3019$)⩵∡$1228$⪛$3152$⨚⇆($5903$⪁$6997$))","expression":"((↹⩛5123⫰⋱↹⩛11041⨑≵⋬↹⩛51023⫸⇳↹⩛31105)⪭((↹⩛5502⩨↹⩛5151)⇪⋭))∴((↹⩛102555⊴↹⩛33245)⇂≾⫗(⪲⇎↹⩛21551)⩵∡↹⩛5404⪛↹⩛22332⨚⇆(↹⩛43155⪁↹⩛52221))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36905,"operation_count":14,"complexity_ratio":2636.0714285714284,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1131,"base":6},"right_expr":{"type":"numeric_atoms","value":1537,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":6711,"base":6},"right_expr":{"type":"numeric_atoms","value":4145,"base":6}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1262,"base":6},"right_expr":{"type":"numeric_atoms","value":1147,"base":6}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8423,"base":6},"right_expr":{"type":"numeric_atoms","value":4637,"base":6}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3019,"base":6}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1228,"base":6},"right_expr":{"type":"numeric_atoms","value":3152,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5903,"base":6},"right_expr":{"type":"numeric_atoms","value":6997,"base":6}}}}},"used_operators":["hrf7POJlIJ","j9kHMeSvPp","XnXgA4xnOs","6o9Blt3TJ6","gx7XJ7hdpj","Z8Yg6dlDSp","2DlMacCsIx","Y7wcNGrDQJ","aBQ6xLxuTc","Nsiff2A1zJ","XPYlsWDdGa","lwHaAYXP2r","uFcxV4UQCh","I7sXao9hZE"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","COABgblf1C","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"↹⩛54310","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1537, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1098","layer":3},{"info":"number node, value=6711","layer":4},{"info":"number node, value=4145","layer":4},{"info":"compute binary expreesion, left_input=6711, right_input=4145, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1098, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-3079","layer":2},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1147, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3079, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=2905","layer":1},{"info":"number node, value=8423","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=8423, right_input=4637, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3019","layer":4},{"info":"compute unary expreesion, input=3019, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6038","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6038, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=1228","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=3152, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1228","layer":3},{"info":"number node, value=5903","layer":4},{"info":"number node, value=6997","layer":4},{"info":"compute binary expreesion, left_input=5903, right_input=6997, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1228, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2905, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7458","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5123⫰⋱↹⩛11041⨑≵⋬↹⩛51023⫸⇳↹⩛31105)⪭((↹⩛5502⩨↹⩛5151)⇪⋭))∴((↹⩛102555⊴↹⩛33245)⇂≾⫗(⪲⇎↹⩛21551)⩵∡↹⩛5404⪛↹⩛22332⨚⇆(↹⩛43155⪁↹⩛52221))=↹⩛54310","reverse_text":"↹⩛54310=((↹⩛5123⫰⋱↹⩛11041⨑≵⋬↹⩛51023⫸⇳↹⩛31105)⪭((↹⩛5502⩨↹⩛5151)⇪⋭))∴((↹⩛102555⊴↹⩛33245)⇂≾⫗(⪲⇎↹⩛21551)⩵∡↹⩛5404⪛↹⩛22332⨚⇆(↹⩛43155⪁↹⩛52221))","cot":[{"info":"↹⩛5123⫰⋱↹⩛11041=↹⩛-5030","layer":3},{"info":"↹⩛51023⫸⇳↹⩛31105=↹⩛0","layer":3},{"info":"↹⩛-5030⨑≵⋬↹⩛0=↹⩛-22131","layer":2},{"info":"↹⩛5502⩨↹⩛5151=↹⩛0","layer":3},{"info":"↹⩛0⇪⋭=↹⩛0","layer":2},{"info":"↹⩛-22131⪭↹⩛0=↹⩛21241","layer":1},{"info":"↹⩛102555⊴↹⩛33245=NaN","layer":3},{"info":"⪲⇎↹⩛21551=↹⩛43542","layer":3},{"info":"NaN⇂≾⫗↹⩛43542=NaN","layer":2},{"info":"↹⩛5404⪛↹⩛22332=↹⩛5404","layer":3},{"info":"↹⩛43155⪁↹⩛52221=NaN","layer":3},{"info":"↹⩛5404⨚⇆NaN=-Inf","layer":2},{"info":"NaN⩵∡-Inf=NaN","layer":1},{"info":"↹⩛21241∴NaN=↹⩛54310","layer":0}]} +{"id":360,"expression_no_base_symbol":"(⫟$3549$⪃⊛⇣$1305$)⊹∫⫚($1547$↬$1341$)∴$6878$⨑⩅≇$1503$⋅⇍(⋎⨆($2941$⨸⪁$5907$)⩍⋽⫝̸(∂⩏⊆$1468$))","expression":"(⫟↹⩛24233⪃⊛⇣↹⩛10013)⊹∫⫚(↹⩛11055↬↹⩛10113)∴↹⩛51502⨑⩅≇↹⩛10543⋅⇍(⋎⨆(↹⩛21341⨸⪁↹⩛43203)⩍⋽⫝̸(∂⩏⊆↹⩛10444))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2228,"operation_count":11,"complexity_ratio":202.54545454545453,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3549,"base":6},"right_expr":{"type":"numeric_atoms","value":1305,"base":6}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1547,"base":6},"right_expr":{"type":"numeric_atoms","value":1341,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6878,"base":6},"right_expr":{"type":"numeric_atoms","value":1503,"base":6}}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2941,"base":6},"right_expr":{"type":"numeric_atoms","value":5907,"base":6}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1468,"base":6}}}}},"used_operators":["AdZkA7nFnk","uWAJUKEvyW","z4E1FaHLuy","rrgAzCduG9","hrf7POJlIJ","B5M0gjZbta","h92wMvzauj","E64sFOc4tB","BiWNJpBvwn","g55IO6H4Gj","8WDwsbhb0R"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rGHVDoGpnC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","14qkJME0vr","eLAdDNolq6"],"result":"↹⩛-34","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3549","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=3549, right_input=1305, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-2795","layer":2},{"info":"number node, value=1547","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=1341, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6878","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=6878, right_input=1503, 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=-20634","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20634, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2795, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"number node, value=2941","layer":4},{"info":"number node, value=5907","layer":4},{"info":"compute binary expreesion, left_input=2941, right_input=5907, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17696","layer":3},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4483","layer":3},{"info":"compute binary expreesion, left_input=17696, right_input=-4483, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=21706","layer":2},{"info":"compute unary expreesion, input=21706, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":6,"result_base":6,"text":"(⫟↹⩛24233⪃⊛⇣↹⩛10013)⊹∫⫚(↹⩛11055↬↹⩛10113)∴↹⩛51502⨑⩅≇↹⩛10543⋅⇍(⋎⨆(↹⩛21341⨸⪁↹⩛43203)⩍⋽⫝̸(∂⩏⊆↹⩛10444))=↹⩛-34","reverse_text":"↹⩛-34=(⫟↹⩛24233⪃⊛⇣↹⩛10013)⊹∫⫚(↹⩛11055↬↹⩛10113)∴↹⩛51502⨑⩅≇↹⩛10543⋅⇍(⋎⨆(↹⩛21341⨸⪁↹⩛43203)⩍⋽⫝̸(∂⩏⊆↹⩛10444))","cot":[{"info":"↹⩛24233⪃⊛⇣↹⩛10013=↹⩛5414","layer":3},{"info":"⫟↹⩛5414=↹⩛-20535","layer":2},{"info":"↹⩛11055↬↹⩛10113=NaN","layer":3},{"info":"↹⩛51502⨑⩅≇↹⩛10543=↹⩛-235310","layer":3},{"info":"NaN∴↹⩛-235310=NaN","layer":2},{"info":"↹⩛-20535⊹∫⫚NaN=NaN","layer":1},{"info":"↹⩛21341⨸⪁↹⩛43203=↹⩛213532","layer":3},{"info":"∂⩏⊆↹⩛10444=↹⩛-32431","layer":3},{"info":"↹⩛213532⩍⋽⫝̸↹⩛-32431=↹⩛244254","layer":2},{"info":"⋎⨆↹⩛244254=↹⩛0","layer":1},{"info":"NaN⋅⇍↹⩛0=↹⩛-34","layer":0}]} +{"id":361,"expression_no_base_symbol":"∤↝(($3478$⨵⪆$5633$)⪶≀⋏(∂⩏⊆$1638$)⊨(⩏⊷≩$1417$)∀⇚≩($6150$↺$3454$))","expression":"∤↝((↹⩛24034⨵⪆↹⩛42025)⪶≀⋏(∂⩏⊆↹⩛11330)⊨(⩏⊷≩↹⩛10321)∀⇚≩(↹⩛44250↺↹⩛23554))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17844,"operation_count":8,"complexity_ratio":2230.5,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3478,"base":6},"right_expr":{"type":"numeric_atoms","value":5633,"base":6}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1638,"base":6}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1417,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6150,"base":6},"right_expr":{"type":"numeric_atoms","value":3454,"base":6}}}}},"used_operators":["3UMq87Qwqg","vg4gO5BX6G","zR4jO40bMj","2DQ55sFlQl","8WDwsbhb0R","LRNGc0VcxI","uOZ1tnYMDE","7j4O788W3g"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","X99M06cbEe","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3478","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=5633, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4993","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4993, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-39944","layer":2},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2533","layer":3},{"info":"number node, value=6150","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=6150, right_input=3454, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3454","layer":3},{"info":"compute binary expreesion, left_input=2533, right_input=3454, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-39944, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∤↝((↹⩛24034⨵⪆↹⩛42025)⪶≀⋏(∂⩏⊆↹⩛11330)⊨(⩏⊷≩↹⩛10321)∀⇚≩(↹⩛44250↺↹⩛23554))=NaN","reverse_text":"NaN=∤↝((↹⩛24034⨵⪆↹⩛42025)⪶≀⋏(∂⩏⊆↹⩛11330)⊨(⩏⊷≩↹⩛10321)∀⇚≩(↹⩛44250↺↹⩛23554))","cot":[{"info":"↹⩛24034⨵⪆↹⩛42025=↹⩛424","layer":3},{"info":"∂⩏⊆↹⩛11330=↹⩛-35041","layer":3},{"info":"↹⩛424⪶≀⋏↹⩛-35041=↹⩛-504532","layer":2},{"info":"⩏⊷≩↹⩛10321=↹⩛15421","layer":3},{"info":"↹⩛44250↺↹⩛23554=↹⩛23554","layer":3},{"info":"↹⩛15421∀⇚≩↹⩛23554=NaN","layer":2},{"info":"↹⩛-504532⊨NaN=NaN","layer":1},{"info":"∤↝NaN=NaN","layer":0}]} +{"id":362,"expression_no_base_symbol":"(⫎≠⋺(($4789$⊋$2711$)⇍⊗$7656$⪔⊥$2577$))⪔⊥(≦∁($3690$∪⫐$5407$)≹⇙⪍$1098$⪃⊛⇣$4511$)","expression":"(⫎≠⋺((↹⩛34101⊋↹⩛20315)⇍⊗↹⩛55240⪔⊥↹⩛15533))⪔⊥(≦∁(↹⩛25030∪⫐↹⩛41011)≹⇙⪍↹⩛5030⪃⊛⇣↹⩛32515)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4933,"operation_count":9,"complexity_ratio":548.1111111111111,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4789,"base":6},"right_expr":{"type":"numeric_atoms","value":2711,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":7656,"base":6},"right_expr":{"type":"numeric_atoms","value":2577,"base":6}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3690,"base":6},"right_expr":{"type":"numeric_atoms","value":5407,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1098,"base":6},"right_expr":{"type":"numeric_atoms","value":4511,"base":6}}}}},"used_operators":["HJ9erzHUuu","LYeZOJ0nQG","5uvYHDjeKN","W4tP9CfskL","9ICcGScMcE","AHs5Up7iyr","7YooWSwCyH","rrgAzCduG9"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","rJVOvQCfKK","2DDjHMKMc0","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4789","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=4789, right_input=2711, 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=44550148","layer":3},{"info":"number node, value=7656","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=7656, right_input=2577, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=25271","layer":3},{"info":"compute binary expreesion, left_input=44550148, right_input=25271, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"number node, value=3690","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=5407, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3690","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=4511, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3690, right_input=1234, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⫎≠⋺((↹⩛34101⊋↹⩛20315)⇍⊗↹⩛55240⪔⊥↹⩛15533))⪔⊥(≦∁(↹⩛25030∪⫐↹⩛41011)≹⇙⪍↹⩛5030⪃⊛⇣↹⩛32515)=NaN","reverse_text":"NaN=(⫎≠⋺((↹⩛34101⊋↹⩛20315)⇍⊗↹⩛55240⪔⊥↹⩛15533))⪔⊥(≦∁(↹⩛25030∪⫐↹⩛41011)≹⇙⪍↹⩛5030⪃⊛⇣↹⩛32515)","cot":[{"info":"↹⩛34101⊋↹⩛20315=↹⩛4230510404","layer":3},{"info":"↹⩛55240⪔⊥↹⩛15533=↹⩛312555","layer":3},{"info":"↹⩛4230510404⇍⊗↹⩛312555=↹⩛-1044","layer":2},{"info":"⫎≠⋺↹⩛-1044=↹⩛-3141","layer":1},{"info":"↹⩛25030∪⫐↹⩛41011=↹⩛25030","layer":3},{"info":"↹⩛5030⪃⊛⇣↹⩛32515=↹⩛5414","layer":3},{"info":"↹⩛25030≹⇙⪍↹⩛5414=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"↹⩛-3141⪔⊥NaN=NaN","layer":0}]} +{"id":363,"expression_no_base_symbol":"(⫖→$4320$⫥∨⫟$6809$)+⪬∐($4811$≄⊠$5212$↙($5006$⫡⨏$1153$))≠≀(($7031$⨚$2853$∁)↫)","expression":"(⫖→↹⩛32000⫥∨⫟↹⩛51305)+⪬∐(↹⩛34135≄⊠↹⩛40044↙(↹⩛35102⫡⨏↹⩛5201))≠≀((↹⩛52315⨚↹⩛21113∁)↫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28571,"operation_count":10,"complexity_ratio":2857.1,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4320,"base":6},"right_expr":{"type":"numeric_atoms","value":6809,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4811,"base":6},"right_expr":{"type":"numeric_atoms","value":5212,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5006,"base":6},"right_expr":{"type":"numeric_atoms","value":1153,"base":6}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7031,"base":6},"right_expr":{"type":"numeric_atoms","value":2853,"base":6}}}}},"used_operators":["IwW236VD4Y","2GS7woTJqF","U4ylXWHChL","KYD54nUTWz","yyfyN0ffXY","vXNesLlMH1","QMFrweE19q","uPb5QRN0te","jdwGQqwJi5","nREPSIbpBE"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","BjRHVeLaeN","12rbrZMWeM"],"result":"↹⩛1054","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4320","layer":4},{"info":"number node, value=6809","layer":4},{"info":"compute binary expreesion, left_input=4320, right_input=6809, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=4811","layer":4},{"info":"number node, value=5212","layer":4},{"info":"compute binary expreesion, left_input=4811, right_input=5212, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=88060","layer":3},{"info":"number node, value=5006","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=5006, right_input=1153, 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=28119","layer":3},{"info":"compute binary expreesion, left_input=88060, right_input=28119, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-84357","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-84357, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-531","layer":1},{"info":"number node, value=7031","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=7031, right_input=2853, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=3584","layer":3},{"info":"compute unary expreesion, input=3584, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=3584","layer":2},{"info":"compute unary expreesion, input=3584, 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=-531, right_input=160, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=250","layer":0}],"base":6,"result_base":6,"text":"(⫖→↹⩛32000⫥∨⫟↹⩛51305)+⪬∐(↹⩛34135≄⊠↹⩛40044↙(↹⩛35102⫡⨏↹⩛5201))≠≀((↹⩛52315⨚↹⩛21113∁)↫)=↹⩛1054","reverse_text":"↹⩛1054=(⫖→↹⩛32000⫥∨⫟↹⩛51305)+⪬∐(↹⩛34135≄⊠↹⩛40044↙(↹⩛35102⫡⨏↹⩛5201))≠≀((↹⩛52315⨚↹⩛21113∁)↫)","cot":[{"info":"↹⩛32000⫥∨⫟↹⩛51305=NaN","layer":3},{"info":"⫖→NaN=↹⩛453","layer":2},{"info":"↹⩛34135≄⊠↹⩛40044=↹⩛1515404","layer":3},{"info":"↹⩛35102⫡⨏↹⩛5201=↹⩛334103","layer":3},{"info":"↹⩛1515404↙↹⩛334103=↹⩛-1450313","layer":2},{"info":"↹⩛453+⪬∐↹⩛-1450313=↹⩛-2243","layer":1},{"info":"↹⩛52315⨚↹⩛21113=↹⩛24332","layer":3},{"info":"↹⩛24332∁=↹⩛24332","layer":2},{"info":"↹⩛24332↫=↹⩛424","layer":1},{"info":"↹⩛-2243≠≀↹⩛424=↹⩛1054","layer":0}]} +{"id":364,"expression_no_base_symbol":"(⇐($1037$⨭⪣$3887$)≴⪞⇿($8272$⨎$1679$))⨓(($1417$≹⇙⪍$3549$)⩖⊿(≪$1708$)∷(($6905$⨔⇊$3149$)⨌↪))","expression":"(⇐(↹⩛4445⨭⪣↹⩛25555)≴⪞⇿(↹⩛102144⨎↹⩛11435))⨓((↹⩛10321≹⇙⪍↹⩛24233)⩖⊿(≪↹⩛11524)∷((↹⩛51545⨔⇊↹⩛22325)⨌↪))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":214,"operation_count":11,"complexity_ratio":19.454545454545453,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1037,"base":6},"right_expr":{"type":"numeric_atoms","value":3887,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8272,"base":6},"right_expr":{"type":"numeric_atoms","value":1679,"base":6}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1417,"base":6},"right_expr":{"type":"numeric_atoms","value":3549,"base":6}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1708,"base":6}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":6905,"base":6},"right_expr":{"type":"numeric_atoms","value":3149,"base":6}}}}},"used_operators":["3ViojmjbAp","nmZMaaE0Q9","lvlrscuwVU","kn8WO9XteQ","rJVOvQCfKK","D3AQDKkPcf","RZ5CV9rWsJ","AHs5Up7iyr","Qtd6bqUJcN","cWQsF5MvuD","JclMnS0uGI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","NTOWxs364D","7j4O788W3g","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","dWAJyo7jo9","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3887, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-242","layer":3},{"info":"number node, value=8272","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=8272, right_input=1679, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1679","layer":3},{"info":"compute binary expreesion, left_input=-242, right_input=1679, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(��⩽⪐a))) }', output=-7404","layer":2},{"info":"compute unary expreesion, input=-7404, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":1},{"info":"number node, value=1417","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=3549, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1708","layer":4},{"info":"compute unary expreesion, input=1708, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=6905","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=6905, right_input=3149, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3149","layer":3},{"info":"compute unary expreesion, input=3149, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5016, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇐(↹⩛4445⨭⪣↹⩛25555)≴⪞⇿(↹⩛102144⨎↹⩛11435))⨓((↹⩛10321≹⇙⪍↹⩛24233)⩖⊿(≪↹⩛11524)∷((↹⩛51545⨔⇊↹⩛22325)⨌↪))=NaN","reverse_text":"NaN=(⇐(↹⩛4445⨭⪣↹⩛25555)≴⪞⇿(↹⩛102144⨎↹⩛11435))⨓((↹⩛10321≹⇙⪍↹⩛24233)⩖⊿(≪↹⩛11524)∷((↹⩛51545⨔⇊↹⩛22325)⨌↪))","cot":[{"info":"↹⩛4445⨭⪣↹⩛25555=↹⩛-1042","layer":3},{"info":"↹⩛102144⨎↹⩛11435=↹⩛11435","layer":3},{"info":"↹⩛-1042≴⪞⇿↹⩛11435=↹⩛-54140","layer":2},{"info":"⇐↹⩛-54140=↹⩛-35120","layer":1},{"info":"↹⩛10321≹⇙⪍↹⩛24233=NaN","layer":3},{"info":"≪↹⩛11524=↹⩛4121","layer":3},{"info":"NaN⩖⊿↹⩛4121=NaN","layer":2},{"info":"↹⩛51545⨔⇊↹⩛22325=↹⩛22325","layer":3},{"info":"↹⩛22325⨌↪=↹⩛-2120","layer":2},{"info":"NaN∷↹⩛-2120=NaN","layer":1},{"info":"↹⩛-35120⨓NaN=NaN","layer":0}]} +{"id":365,"expression_no_base_symbol":"(⇁⨣⪵(↪⫪⫘($1689$⨎$1391$)))≋⫹","expression":"(⇁⨣⪵(↪⫪⫘(↹⩛11453⨎↹⩛10235)))≋⫹","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":210,"operation_count":4,"complexity_ratio":52.5,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1689,"base":6},"right_expr":{"type":"numeric_atoms","value":1391,"base":6}}}}},"used_operators":["N41Kp7NANJ","inkyxCbjAn","9dWsAM3GFt","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1391, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1391","layer":3},{"info":"compute unary expreesion, input=1391, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⇁⨣⪵(↪⫪⫘(↹⩛11453⨎↹⩛10235)))≋⫹=↹⩛0","reverse_text":"↹⩛0=(⇁⨣⪵(↪⫪⫘(↹⩛11453⨎↹⩛10235)))≋⫹","cot":[{"info":"↹⩛11453⨎↹⩛10235=↹⩛10235","layer":3},{"info":"↪⫪⫘↹⩛10235=↹⩛32","layer":2},{"info":"⇁⨣⪵↹⩛32=↹⩛0","layer":1},{"info":"↹⩛0≋⫹=↹⩛0","layer":0}]} +{"id":366,"expression_no_base_symbol":"(↨⩢⫨($6078$⩚⊴⇥$7547$))⋥⋵⩄(($2402$∣$3089$)∛($4659$≚⊃≕$5853$))⩼⇪↪(↘(⩷$2417$)≴⪞⇿($2929$⪛⫼$2052$))","expression":"(↨⩢⫨(↹⩛44050⩚⊴⇥↹⩛54535))⋥⋵⩄((↹⩛15042∣↹⩛22145)∛(↹⩛33323≚⊃≕↹⩛43033))⩼⇪↪(↘(⩷↹⩛15105)≴⪞⇿(↹⩛21321⪛⫼↹⩛13300))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1252,"operation_count":11,"complexity_ratio":113.81818181818181,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6078,"base":6},"right_expr":{"type":"numeric_atoms","value":7547,"base":6}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2402,"base":6},"right_expr":{"type":"numeric_atoms","value":3089,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4659,"base":6},"right_expr":{"type":"numeric_atoms","value":5853,"base":6}}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2417,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2929,"base":6},"right_expr":{"type":"numeric_atoms","value":2052,"base":6}}}}},"used_operators":["ocnLzx9CaJ","7t3wd0Fuz7","Z5CJsN7DuW","NTOWxs364D","w2537kitQq","PPChnnnBFF","Bmrmz2XGnR","LdNpr8hQHL","lvlrscuwVU","1h0rLqGiFr","hyuBjUqXlG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","uFcxV4UQCh","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"↹⩛-5233","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6078","layer":4},{"info":"number node, value=7547","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=7547, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13746","layer":3},{"info":"compute unary expreesion, input=-13746, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=2402","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=3089, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2402","layer":3},{"info":"number node, value=4659","layer":4},{"info":"number node, value=5853","layer":4},{"info":"compute binary expreesion, left_input=4659, right_input=5853, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2402, right_input=67, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=2417","layer":4},{"info":"compute unary expreesion, input=2417, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-29083","layer":3},{"info":"number node, value=2929","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=2929, right_input=2052, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-29083, right_input=968, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-353496","layer":2},{"info":"compute unary expreesion, input=-353496, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=88","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=88, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-1173","layer":0}],"base":6,"result_base":6,"text":"(↨⩢⫨(↹⩛44050⩚⊴⇥↹⩛54535))⋥⋵⩄((↹⩛15042∣↹⩛22145)∛(↹⩛33323≚⊃≕↹⩛43033))⩼⇪↪(↘(⩷↹⩛15105)≴⪞⇿(↹⩛21321⪛⫼↹⩛13300))=↹⩛-5233","reverse_text":"↹⩛-5233=(↨⩢⫨(↹⩛44050⩚⊴⇥↹⩛54535))⋥⋵⩄((↹⩛15042∣↹⩛22145)∛(↹⩛33323≚⊃≕↹⩛43033))⩼⇪↪(↘(⩷↹⩛15105)≴⪞⇿(↹⩛21321⪛⫼↹⩛13300))","cot":[{"info":"↹⩛44050⩚⊴⇥↹⩛54535=↹⩛-143350","layer":3},{"info":"↨⩢⫨↹⩛-143350=↹⩛0","layer":2},{"info":"↹⩛15042∣↹⩛22145=↹⩛15042","layer":3},{"info":"↹⩛33323≚⊃≕↹⩛43033=↹⩛151","layer":3},{"info":"↹⩛15042∛↹⩛151=↹⩛151","layer":2},{"info":"↹⩛0⋥⋵⩄↹⩛151=↹⩛305","layer":1},{"info":"⩷↹⩛15105=↹⩛-342351","layer":3},{"info":"↹⩛21321⪛⫼↹⩛13300=↹⩛4252","layer":3},{"info":"↹⩛-342351≴⪞⇿↹⩛4252=↹⩛-11324320","layer":2},{"info":"↘↹⩛-11324320=↹⩛224","layer":1},{"info":"↹⩛305⩼⇪↪↹⩛224=↹⩛-5233","layer":0}]} +{"id":367,"expression_no_base_symbol":"((($7824$⫲)⪨⊡$1296$∳⫺$7523$)⇪⋭)⩺⋐⫨","expression":"(((↹⩛100120⫲)⪨⊡↹⩛10000∳⫺↹⩛54455)⇪⋭)⩺⋐⫨","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":147,"operation_count":5,"complexity_ratio":29.4,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":7824,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1296,"base":6},"right_expr":{"type":"numeric_atoms","value":7523,"base":6}}}}},"used_operators":["yS9ePUuUdn","Z8Yg6dlDSp","kuIXHzHcAH","9xnGDUPbC6","AzXXKTstlj"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7824","layer":4},{"info":"compute unary expreesion, input=7824, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=7551","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=7523","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=7523, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9800","layer":3},{"info":"compute binary expreesion, left_input=7551, right_input=-9800, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=39989","layer":2},{"info":"compute unary expreesion, input=39989, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛100120⫲)⪨⊡↹⩛10000∳⫺↹⩛54455)⇪⋭)⩺⋐⫨=NaN","reverse_text":"NaN=(((↹⩛100120⫲)⪨⊡↹⩛10000∳⫺↹⩛54455)⇪⋭)⩺⋐⫨","cot":[{"info":"↹⩛100120⫲=↹⩛54543","layer":3},{"info":"↹⩛10000∳⫺↹⩛54455=↹⩛-113212","layer":3},{"info":"↹⩛54543⪨⊡↹⩛-113212=↹⩛505045","layer":2},{"info":"↹⩛505045⇪⋭=NaN","layer":1},{"info":"NaN⩺⋐⫨=NaN","layer":0}]} +{"id":368,"expression_no_base_symbol":"(($2397$⇼⇔∾$5155$)⊋≦⊧(⊬↢$3383$))⪝(($3766$⇴∐$1435$)↳≱($4158$⫠))⋓((($2438$⪢$1255$)⨎⋸⪻)⪐)","expression":"((↹⩛15033⇼⇔∾↹⩛35511)⊋≦⊧(⊬↢↹⩛23355))⪝((↹⩛25234⇴∐↹⩛10351)↳≱(↹⩛31130⫠))⋓(((↹⩛15142⪢↹⩛5451)⨎⋸⪻)⪐)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":65739,"operation_count":11,"complexity_ratio":5976.272727272727,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2397,"base":6},"right_expr":{"type":"numeric_atoms","value":5155,"base":6}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":3383,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3766,"base":6},"right_expr":{"type":"numeric_atoms","value":1435,"base":6}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":4158,"base":6}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2438,"base":6},"right_expr":{"type":"numeric_atoms","value":1255,"base":6}}}}},"used_operators":["T2fj7uvVaJ","wicAB68Tmb","oRDoc9rAEX","tifHPKVTfV","WPoGxAaPR1","JwTKLfZU96","HnzytWxmAO","6SnOT2rOjz","eH2TOUuTDT","Dk5vyLCiGd","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2397","layer":4},{"info":"number node, value=5155","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=5155, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2758","layer":3},{"info":"number node, value=3383","layer":4},{"info":"compute unary expreesion, input=3383, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=2758, right_input=218, 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=-196","layer":2},{"info":"number node, value=3766","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=3766, right_input=1435, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4158","layer":4},{"info":"compute unary expreesion, input=4158, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-196, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=507","layer":1},{"info":"number node, value=2438","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=1255, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=507, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15033⇼⇔∾↹⩛35511)⊋≦⊧(⊬↢↹⩛23355))⪝((↹⩛25234⇴∐↹⩛10351)↳≱(↹⩛31130⫠))⋓(((↹⩛15142⪢↹⩛5451)⨎⋸⪻)⪐)=NaN","reverse_text":"NaN=((↹⩛15033⇼⇔∾↹⩛35511)⊋≦⊧(⊬↢↹⩛23355))⪝((↹⩛25234⇴∐↹⩛10351)↳≱(↹⩛31130⫠))⋓(((↹⩛15142⪢↹⩛5451)⨎⋸⪻)⪐)","cot":[{"info":"↹⩛15033⇼⇔∾↹⩛35511=↹⩛20434","layer":3},{"info":"⊬↢↹⩛23355=↹⩛1002","layer":3},{"info":"↹⩛20434⊋≦⊧↹⩛1002=↹⩛-524","layer":2},{"info":"↹⩛25234⇴∐↹⩛10351=NaN","layer":3},{"info":"↹⩛31130⫠=↹⩛0","layer":3},{"info":"NaN↳≱↹⩛0=↹⩛0","layer":2},{"info":"↹⩛-524⪝↹⩛0=↹⩛2203","layer":1},{"info":"↹⩛15142⪢↹⩛5451=NaN","layer":3},{"info":"NaN⨎⋸⪻=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"↹⩛2203⋓NaN=NaN","layer":0}]} +{"id":369,"expression_no_base_symbol":"⪭⩑⪱(⋃($7359$⊬⨰$2379$≳⇉$5038$⪛$2148$))","expression":"⪭⩑⪱(⋃(↹⩛54023⊬⨰↹⩛15003≳⇉↹⩛35154⪛↹⩛13540))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9843627,"operation_count":5,"complexity_ratio":1968725.4,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":7359,"base":6},"right_expr":{"type":"numeric_atoms","value":2379,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5038,"base":6},"right_expr":{"type":"numeric_atoms","value":2148,"base":6}}}}},"used_operators":["SIgE0bArFf","3mBM5G4a3l","V0kx6qeWkN","s3Fd5m9Dh2","uFcxV4UQCh"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","g55IO6H4Gj","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7359","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=7359, right_input=2379, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15819","layer":3},{"info":"number node, value=5038","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=5038, right_input=2148, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=742","layer":3},{"info":"compute binary expreesion, left_input=15819, right_input=742, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⪭⩑⪱(⋃(↹⩛54023⊬⨰↹⩛15003≳⇉↹⩛35154⪛↹⩛13540))=↹⩛454202000","reverse_text":"↹⩛454202000=⪭⩑⪱(⋃(↹⩛54023⊬⨰↹⩛15003≳⇉↹⩛35154⪛↹⩛13540))","cot":[{"info":"↹⩛54023⊬⨰↹⩛15003=↹⩛201123","layer":3},{"info":"↹⩛35154⪛↹⩛13540=↹⩛3234","layer":3},{"info":"↹⩛201123≳⇉↹⩛3234=NaN","layer":2},{"info":"⋃NaN=NaN","layer":1},{"info":"⪭⩑⪱NaN=↹⩛454202000","layer":0}]} +{"id":370,"expression_no_base_symbol":"⨡↴($1967$⨸$1241$≚⊃≕($2371$⨻⩈⩔$2501$)⨵⪆(≤/($3298$⊜)))","expression":"⨡↴(↹⩛13035⨸↹⩛5425≚⊃≕(↹⩛14551⨻⩈⩔↹⩛15325)⨵⪆(≤/(↹⩛23134⊜)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2227,"operation_count":7,"complexity_ratio":318.14285714285717,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1967,"base":6},"right_expr":{"type":"numeric_atoms","value":1241,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2371,"base":6},"right_expr":{"type":"numeric_atoms","value":2501,"base":6}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":3298,"base":6}}}}},"used_operators":["liw5iZPkLH","2DQ55sFlQl","Bmrmz2XGnR","KmoU8R5UQR","nEsXyWgiOK","eLAdDNolq6","Eev2Q7dYIw"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"↹⩛5333","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1967","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=1241, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3934","layer":3},{"info":"number node, value=2371","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=2501, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10567","layer":3},{"info":"compute binary expreesion, left_input=3934, right_input=10567, 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=-27329","layer":2},{"info":"number node, value=3298","layer":4},{"info":"compute unary expreesion, input=3298, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-11456","layer":3},{"info":"compute unary expreesion, input=-11456, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=11940","layer":2},{"info":"compute binary expreesion, left_input=-27329, right_input=11940, 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 = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1209","layer":0}],"base":6,"result_base":6,"text":"⨡↴(↹⩛13035⨸↹⩛5425≚⊃≕(↹⩛14551⨻⩈⩔↹⩛15325)⨵⪆(≤/(↹⩛23134⊜)))=↹⩛5333","reverse_text":"↹⩛5333=⨡↴(↹⩛13035⨸↹⩛5425≚⊃≕(↹⩛14551⨻⩈⩔↹⩛15325)⨵⪆(≤/(↹⩛23134⊜)))","cot":[{"info":"↹⩛13035⨸↹⩛5425=↹⩛30114","layer":3},{"info":"↹⩛14551⨻⩈⩔↹⩛15325=↹⩛120531","layer":3},{"info":"↹⩛30114≚⊃≕↹⩛120531=↹⩛-330305","layer":2},{"info":"↹⩛23134⊜=↹⩛-125012","layer":3},{"info":"≤/↹⩛-125012=↹⩛131140","layer":2},{"info":"↹⩛-330305⨵⪆↹⩛131140=↹⩛424","layer":1},{"info":"⨡↴↹⩛424=↹⩛5333","layer":0}]} +{"id":371,"expression_no_base_symbol":"(⪝⪂⫅($2059$≬⇓$2396$))⨿((⫯$3685$)↙$2231$∌↝$2001$)⪮%⊝(($2464$⋛$1271$⨟⋌⩍($3083$⇴$1073$))⫑)","expression":"(⪝⪂⫅(↹⩛13311≬⇓↹⩛15032))⨿((⫯↹⩛25021)↙↹⩛14155∌↝↹⩛13133)⪮%⊝((↹⩛15224⋛↹⩛5515⨟⋌⩍(↹⩛22135⇴↹⩛4545))⫑)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":620,"operation_count":11,"complexity_ratio":56.36363636363637,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2059,"base":6},"right_expr":{"type":"numeric_atoms","value":2396,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3685,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2231,"base":6},"right_expr":{"type":"numeric_atoms","value":2001,"base":6}}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2464,"base":6},"right_expr":{"type":"numeric_atoms","value":1271,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3083,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}}}}},"used_operators":["IWmyXbctLI","abYXlopdE0","XTarYq4gQB","jWTQ2TZYIH","yyfyN0ffXY","H6BK1Evt7c","9Isq31Ruls","CgIo77xlM2","rGHVDoGpnC","YbUVn0Rbpy","4JB6nKBMSY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9HNa5Wba9A","8w2t5hMYqp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","tmPS8pqC7x","DpFCA1CohY","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Tcnh7f0tEr","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛-1254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=2396, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3234","layer":2},{"info":"number node, value=3685","layer":4},{"info":"compute unary expreesion, input=3685, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-139982","layer":3},{"info":"number node, value=2231","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=2001, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-139982, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-139982","layer":2},{"info":"compute binary expreesion, left_input=3234, right_input=-139982, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=2464","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=1271, 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=-110016","layer":3},{"info":"number node, value=3083","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=1073, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20258","layer":3},{"info":"compute binary expreesion, left_input=-110016, right_input=20258, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=-480, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-322","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅(↹⩛13311≬⇓↹⩛15032))⨿((⫯↹⩛25021)↙↹⩛14155∌↝↹⩛13133)⪮%⊝((↹⩛15224⋛↹⩛5515⨟⋌⩍(↹⩛22135⇴↹⩛4545))⫑)=↹⩛-1254","reverse_text":"↹⩛-1254=(⪝⪂⫅(↹⩛13311≬⇓↹⩛15032))⨿((⫯↹⩛25021)↙↹⩛14155∌↝↹⩛13133)⪮%⊝((↹⩛15224⋛↹⩛5515⨟⋌⩍(↹⩛22135⇴↹⩛4545))⫑)","cot":[{"info":"↹⩛13311≬⇓↹⩛15032=↹⩛-34","layer":3},{"info":"⪝⪂⫅↹⩛-34=↹⩛22550","layer":2},{"info":"⫯↹⩛25021=↹⩛-3000022","layer":3},{"info":"↹⩛14155∌↝↹⩛13133=↹⩛0","layer":3},{"info":"↹⩛-3000022↙↹⩛0=↹⩛-3000022","layer":2},{"info":"↹⩛22550⨿↹⩛-3000022=↹⩛-1251","layer":1},{"info":"↹⩛15224⋛↹⩛5515=↹⩛-2205200","layer":3},{"info":"↹⩛22135⇴↹⩛4545=↹⩛233442","layer":3},{"info":"↹⩛-2205200⨟⋌⩍↹⩛233442=NaN","layer":2},{"info":"NaN⫑=↹⩛-2120","layer":1},{"info":"↹⩛-1251⪮%⊝↹⩛-2120=↹⩛-1254","layer":0}]} +{"id":372,"expression_no_base_symbol":"⊀($1216$⫞⩸⩒$3168$⪮%⊝(⋗⩬⋾$5733$)⪁(($1163$∷)∕⩚$1856$≭$1844$))","expression":"⊀(↹⩛5344⫞⩸⩒↹⩛22400⪮%⊝(⋗⩬⋾↹⩛42313)⪁((↹⩛5215∷)∕⩚↹⩛12332≭↹⩛12312))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2223553,"operation_count":8,"complexity_ratio":277944.125,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1216,"base":6},"right_expr":{"type":"numeric_atoms","value":3168,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5733,"base":6}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1163,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1856,"base":6},"right_expr":{"type":"numeric_atoms","value":1844,"base":6}}}}},"used_operators":["oPMjh9089D","I7sXao9hZE","IWmyXbctLI","XGcMNugi78","DpFCA1CohY","z9ffQ9n5Zr","nFAOW8KTqp","rxpJgHHUmx"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3168, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3168","layer":3},{"info":"number node, value=5733","layer":4},{"info":"compute unary expreesion, input=5733, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17199","layer":3},{"info":"compute binary expreesion, left_input=3168, right_input=-17199, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6652","layer":2},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=3489","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=1844, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3489, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=6652, right_input=-487, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊀(↹⩛5344⫞⩸⩒↹⩛22400⪮%⊝(⋗⩬⋾↹⩛42313)⪁((↹⩛5215∷)∕⩚↹⩛12332≭↹⩛12312))=NaN","reverse_text":"NaN=⊀(↹⩛5344⫞⩸⩒↹⩛22400⪮%⊝(⋗⩬⋾↹⩛42313)⪁((↹⩛5215∷)∕⩚↹⩛12332≭↹⩛12312))","cot":[{"info":"↹⩛5344⫞⩸⩒↹⩛22400=↹⩛22400","layer":3},{"info":"⋗⩬⋾↹⩛42313=↹⩛-211343","layer":3},{"info":"↹⩛22400⪮%⊝↹⩛-211343=↹⩛50444","layer":2},{"info":"↹⩛5215∷=↹⩛24053","layer":3},{"info":"↹⩛12332≭↹⩛12312=NaN","layer":3},{"info":"↹⩛24053∕⩚NaN=↹⩛-2131","layer":2},{"info":"↹⩛50444⪁↹⩛-2131=NaN","layer":1},{"info":"⊀NaN=NaN","layer":0}]} +{"id":373,"expression_no_base_symbol":"(($8694$↞⋁$3950$⫰⋱$1850$⫢⨠$1083$)⊵↤)⊍⩺⋍(($1252$⇴∐$2430$∀⋜↑)≚⋢)","expression":"((↹⩛104130↞⋁↹⩛30142⫰⋱↹⩛12322⫢⨠↹⩛5003)⊵↤)⊍⩺⋍((↹⩛5444⇴∐↹⩛15130∀⋜↑)≚⋢)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":607,"operation_count":8,"complexity_ratio":75.875,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":8694,"base":6},"right_expr":{"type":"numeric_atoms","value":3950,"base":6}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1850,"base":6},"right_expr":{"type":"numeric_atoms","value":1083,"base":6}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1252,"base":6},"right_expr":{"type":"numeric_atoms","value":2430,"base":6}}}}},"used_operators":["OXDGMFPWZM","7IPrd9c3lf","6o9Blt3TJ6","RqrPlJkxDo","xlXykHWxX1","MahUMFw56D","KipPnG1M2J","HnzytWxmAO"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3ViojmjbAp","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8694","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=8694, right_input=3950, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1850","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1083, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":1},{"info":"number node, value=1252","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=2430, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-89, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛104130↞⋁↹⩛30142⫰⋱↹⩛12322⫢⨠↹⩛5003)⊵↤)⊍⩺⋍((↹⩛5444⇴∐↹⩛15130∀⋜↑)≚⋢)=NaN","reverse_text":"NaN=((↹⩛104130↞⋁↹⩛30142⫰⋱↹⩛12322⫢⨠↹⩛5003)⊵↤)⊍⩺⋍((↹⩛5444⇴∐↹⩛15130∀⋜↑)≚⋢)","cot":[{"info":"↹⩛104130↞⋁↹⩛30142=NaN","layer":3},{"info":"↹⩛12322⫢⨠↹⩛5003=↹⩛424","layer":3},{"info":"NaN⫰⋱↹⩛424=NaN","layer":2},{"info":"NaN⊵↤=↹⩛151","layer":1},{"info":"↹⩛5444⇴∐↹⩛15130=NaN","layer":3},{"info":"NaN∀⋜↑=NaN","layer":2},{"info":"NaN≚⋢=↹⩛-225","layer":1},{"info":"↹⩛151⊍⩺⋍↹⩛-225=NaN","layer":0}]} +{"id":374,"expression_no_base_symbol":"(∐⩳⋚(⇋⊎⋝($3701$⩁)))∳⫺(≪(⨮↦↱($4704$⇟⨁⪰)))","expression":"(∐⩳⋚(⇋⊎⋝(↹⩛25045⩁)))∳⫺(≪(⨮↦↱(↹⩛33440⇟⨁⪰)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27025,"operation_count":7,"complexity_ratio":3860.714285714286,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3701,"base":6}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":4704,"base":6}}}}},"used_operators":["AzXXKTstlj","SL6IHkK8vl","CzM2PEoXns","5GqDbVmqXU","Qtd6bqUJcN","sYcpBQ0cFf","BX1lVwlMe0"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","dWAJyo7jo9","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","2DDjHMKMc0","xUOZtlo3hN"],"result":"↹⩛-1112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3701","layer":4},{"info":"compute unary expreesion, input=3701, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-26828","layer":3},{"info":"compute unary expreesion, input=-26828, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"number node, value=4704","layer":4},{"info":"compute unary expreesion, input=4704, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4878","layer":3},{"info":"compute unary expreesion, input=-4878, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=61632","layer":2},{"info":"compute unary expreesion, input=61632, 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=nan, right_input=913, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":6,"result_base":6,"text":"(∐⩳⋚(⇋⊎⋝(↹⩛25045⩁)))∳⫺(≪(⨮↦↱(↹⩛33440⇟⨁⪰)))=↹⩛-1112","reverse_text":"↹⩛-1112=(∐⩳⋚(⇋⊎⋝(↹⩛25045⩁)))∳⫺(≪(⨮↦↱(↹⩛33440⇟⨁⪰)))","cot":[{"info":"↹⩛25045⩁=↹⩛-324112","layer":3},{"info":"⇋⊎⋝↹⩛-324112=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"↹⩛33440⇟⨁⪰=↹⩛-34330","layer":3},{"info":"⨮↦↱↹⩛-34330=↹⩛1153200","layer":2},{"info":"≪↹⩛1153200=↹⩛4121","layer":1},{"info":"NaN∳⫺↹⩛4121=↹⩛-1112","layer":0}]} +{"id":375,"expression_no_base_symbol":"($1110$∌↝$2992$⊅)⪮%⊝($2972$⫥∨⫟$3511$)⇂≾⫗($2277$∀⋜↑)≃(⊖∈$3417$⩼⇪↪$3073$)∳⫺((⇾⩊⇾$2971$)∘$2132$⨔⇊$7236$)","expression":"(↹⩛5050∌↝↹⩛21504⊅)⪮%⊝(↹⩛21432⫥∨⫟↹⩛24131)⇂≾⫗(↹⩛14313∀⋜↑)≃(⊖∈↹⩛23453⩼⇪↪↹⩛22121)∳⫺((⇾⩊⇾↹⩛21431)∘↹⩛13512⨔⇊↹⩛53300)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":46836,"operation_count":13,"complexity_ratio":3602.769230769231,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1110,"base":6},"right_expr":{"type":"numeric_atoms","value":2992,"base":6}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2972,"base":6},"right_expr":{"type":"numeric_atoms","value":3511,"base":6}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2277,"base":6}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3417,"base":6},"right_expr":{"type":"numeric_atoms","value":3073,"base":6}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2971,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2132,"base":6},"right_expr":{"type":"numeric_atoms","value":7236,"base":6}}}}},"used_operators":["YbVcJGFEVW","IWmyXbctLI","7p6YLioM7f","9Isq31Ruls","aBQ6xLxuTc","KYD54nUTWz","KipPnG1M2J","AzXXKTstlj","YFxL8Sc2Zy","ocnLzx9CaJ","Z5m6OM72h2","bx9Z9DAK5y","JclMnS0uGI"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"↹⩛4344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=2992, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16675","layer":2},{"info":"number node, value=2972","layer":4},{"info":"number node, value=3511","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=3511, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16675, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=3417","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=3073, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15460","layer":3},{"info":"compute unary expreesion, input=-15460, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":2},{"info":"number node, value=2971","layer":4},{"info":"compute unary expreesion, input=2971, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-33225","layer":3},{"info":"number node, value=2132","layer":4},{"info":"number node, value=7236","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=7236, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7236","layer":3},{"info":"compute binary expreesion, left_input=-33225, right_input=7236, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-66450","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-66450, 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 = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=1000","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5050∌↝↹⩛21504⊅)⪮%⊝(↹⩛21432⫥∨⫟↹⩛24131)⇂≾⫗(↹⩛14313∀⋜↑)≃(⊖∈↹⩛23453⩼⇪↪↹⩛22121)∳⫺((⇾⩊⇾↹⩛21431)∘↹⩛13512⨔⇊↹⩛53300)=↹⩛4344","reverse_text":"↹⩛4344=(↹⩛5050∌↝↹⩛21504⊅)⪮%⊝(↹⩛21432⫥∨⫟↹⩛24131)⇂≾⫗(↹⩛14313∀⋜↑)≃(⊖∈↹⩛23453⩼⇪↪↹⩛22121)∳⫺((⇾⩊⇾↹⩛21431)∘↹⩛13512⨔⇊↹⩛53300)","cot":[{"info":"↹⩛5050∌↝↹⩛21504=↹⩛0","layer":3},{"info":"↹⩛0⊅=↹⩛205111","layer":2},{"info":"↹⩛21432⫥∨⫟↹⩛24131=NaN","layer":3},{"info":"↹⩛14313∀⋜↑=↹⩛-2124","layer":3},{"info":"NaN⇂≾⫗↹⩛-2124=NaN","layer":2},{"info":"↹⩛205111⪮%⊝NaN=NaN","layer":1},{"info":"↹⩛23453⩼⇪↪↹⩛22121=↹⩛-155324","layer":3},{"info":"⊖∈↹⩛-155324=Inf","layer":2},{"info":"⇾⩊⇾↹⩛21431=↹⩛-413453","layer":3},{"info":"↹⩛13512⨔⇊↹⩛53300=↹⩛53300","layer":3},{"info":"↹⩛-413453∘↹⩛53300=↹⩛-1231350","layer":2},{"info":"Inf∳⫺↹⩛-1231350=↹⩛-1112","layer":1},{"info":"NaN≃↹⩛-1112=↹⩛4344","layer":0}]} +{"id":376,"expression_no_base_symbol":"(($4239$⨕⋳)⨰$1500$⩌⋺$2163$≥⨤⩑($3712$⪛⫼$2459$∐⫣))⪃⊛⇣((≱⇩⩕$1058$)⫰⋱($6397$⪣⫩)*((⊆⋠$5155$)⊹≧⊝))","expression":"((↹⩛31343⨕⋳)⨰↹⩛10540⩌⋺↹⩛14003≥⨤⩑(↹⩛25104⪛⫼↹⩛15215∐⫣))⪃⊛⇣((≱⇩⩕↹⩛4522)⫰⋱(↹⩛45341⪣⫩)*((⊆⋠↹⩛35511)⊹≧⊝))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":939,"operation_count":13,"complexity_ratio":72.23076923076923,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":4239,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1500,"base":6},"right_expr":{"type":"numeric_atoms","value":2163,"base":6}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3712,"base":6},"right_expr":{"type":"numeric_atoms","value":2459,"base":6}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1058,"base":6}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":6397,"base":6}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5155,"base":6}}}}},"used_operators":["rrgAzCduG9","gJLn6v0xnP","eewbuw0ToL","4X4GscPmMf","g7Hmc5v1ko","4CyGpkTkEk","hyuBjUqXlG","9HNa5Wba9A","6o9Blt3TJ6","3DZMoQKiUl","iuk5sVOGFA","LxFB4K6j0n","EBhcHTkKd8"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4239","layer":4},{"info":"compute unary expreesion, input=4239, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=292660","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=2163, 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=-3784","layer":3},{"info":"compute binary expreesion, left_input=292660, right_input=-3784, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=296454","layer":2},{"info":"number node, value=3712","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=2459, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"compute binary expreesion, left_input=296454, right_input=551, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=6397","layer":4},{"info":"compute unary expreesion, input=6397, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=19158","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=19158, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-80","layer":2},{"info":"number node, value=5155","layer":4},{"info":"compute unary expreesion, input=5155, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"((↹⩛31343⨕⋳)⨰↹⩛10540⩌⋺↹⩛14003≥⨤⩑(↹⩛25104⪛⫼↹⩛15215∐⫣))⪃⊛⇣((≱⇩⩕↹⩛4522)⫰⋱(↹⩛45341⪣⫩)*((⊆⋠↹⩛35511)⊹≧⊝))=↹⩛5414","reverse_text":"↹⩛5414=((↹⩛31343⨕⋳)⨰↹⩛10540⩌⋺↹⩛14003≥⨤⩑(↹⩛25104⪛⫼↹⩛15215∐⫣))⪃⊛⇣((≱⇩⩕↹⩛4522)⫰⋱(↹⩛45341⪣⫩)*((⊆⋠↹⩛35511)⊹≧⊝))","cot":[{"info":"↹⩛31343⨕⋳=↹⩛10134524","layer":3},{"info":"↹⩛10540⩌⋺↹⩛14003=↹⩛-25304","layer":3},{"info":"↹⩛10134524⨰↹⩛-25304=↹⩛10204250","layer":2},{"info":"↹⩛25104⪛⫼↹⩛15215=↹⩛4252","layer":3},{"info":"↹⩛4252∐⫣=↹⩛2315","layer":2},{"info":"↹⩛10204250≥⨤⩑↹⩛2315=↹⩛5414","layer":1},{"info":"≱⇩⩕↹⩛4522=↹⩛305","layer":3},{"info":"↹⩛45341⪣⫩=↹⩛224410","layer":3},{"info":"↹⩛305⫰⋱↹⩛224410=↹⩛-212","layer":2},{"info":"⊆⋠↹⩛35511=↹⩛0","layer":3},{"info":"↹⩛0⊹≧⊝=↹⩛0","layer":2},{"info":"↹⩛-212*↹⩛0=↹⩛0","layer":1},{"info":"↹⩛5414⪃⊛⇣↹⩛0=↹⩛5414","layer":0}]} +{"id":377,"expression_no_base_symbol":"($1372$≌$1413$⫯⪬∳($1705$⋛$3207$))∳⫺((⨵$3255$)⨭⪣($1832$⋷$6022$))⫯⪬∳(($1387$⇴$1992$)⩌⋺($1194$⫢⨠$2753$))∓⋝($4988$⇼⇔∾$3127$)∊∟⩊(∮$2620$)","expression":"(↹⩛10204≌↹⩛10313⫯⪬∳(↹⩛11521⋛↹⩛22503))∳⫺((⨵↹⩛23023)⨭⪣(↹⩛12252⋷↹⩛43514))⫯⪬∳((↹⩛10231⇴↹⩛13120)⩌⋺(↹⩛5310⫢⨠↹⩛20425))∓⋝(↹⩛35032⇼⇔∾↹⩛22251)∊∟⩊(∮↹⩛20044)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2450,"operation_count":15,"complexity_ratio":163.33333333333334,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1372,"base":6},"right_expr":{"type":"numeric_atoms","value":1413,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1705,"base":6},"right_expr":{"type":"numeric_atoms","value":3207,"base":6}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3255,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1832,"base":6},"right_expr":{"type":"numeric_atoms","value":6022,"base":6}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1387,"base":6},"right_expr":{"type":"numeric_atoms","value":1992,"base":6}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1194,"base":6},"right_expr":{"type":"numeric_atoms","value":2753,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4988,"base":6},"right_expr":{"type":"numeric_atoms","value":3127,"base":6}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2620,"base":6}}}}},"used_operators":["d7ASUq0ydm","AzXXKTstlj","lyWz822IDG","YbUVn0Rbpy","kn8WO9XteQ","Tl3Y52tvF8","23Mk6UjR3U","PoHhknlbAi","g7Hmc5v1ko","4JB6nKBMSY","xlXykHWxX1","ddLRYrp01A","tifHPKVTfV","CqXKPLVYql"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛1231","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1372","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=1413, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=3207","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=3207, 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=-116847","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-116847, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"number node, value=3255","layer":4},{"info":"compute unary expreesion, input=3255, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-27249","layer":3},{"info":"number node, value=1832","layer":4},{"info":"number node, value=6022","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=6022, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10212","layer":3},{"info":"compute binary expreesion, left_input=-27249, right_input=10212, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=26454","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26454, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1387","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1992, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=11920","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=2753, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=11920, right_input=160, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-12201","layer":2},{"info":"number node, value=4988","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=3127, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1861","layer":3},{"info":"number node, value=2620","layer":4},{"info":"compute unary expreesion, input=2620, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-1861, right_input=67, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=26","layer":2},{"info":"compute binary expreesion, left_input=-12201, right_input=26, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3954","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-3954, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=307","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10204≌↹⩛10313⫯⪬∳(↹⩛11521⋛↹⩛22503))∳⫺((⨵↹⩛23023)⨭⪣(↹⩛12252⋷↹⩛43514))⫯⪬∳((↹⩛10231⇴↹⩛13120)⩌⋺(↹⩛5310⫢⨠↹⩛20425))∓⋝(↹⩛35032⇼⇔∾↹⩛22251)∊∟⩊(∮↹⩛20044)=↹⩛1231","reverse_text":"↹⩛1231=(↹⩛10204≌↹⩛10313⫯⪬∳(↹⩛11521⋛↹⩛22503))∳⫺((⨵↹⩛23023)⨭⪣(↹⩛12252⋷↹⩛43514))⫯⪬∳((↹⩛10231⇴↹⩛13120)⩌⋺(↹⩛5310⫢⨠↹⩛20425))∓⋝(↹⩛35032⇼⇔∾↹⩛22251)∊∟⩊(∮↹⩛20044)","cot":[{"info":"↹⩛10204≌↹⩛10313=NaN","layer":3},{"info":"↹⩛11521⋛↹⩛22503=↹⩛-2300543","layer":3},{"info":"NaN⫯⪬∳↹⩛-2300543=NaN","layer":2},{"info":"⨵↹⩛23023=↹⩛-330053","layer":3},{"info":"↹⩛12252⋷↹⩛43514=↹⩛115140","layer":3},{"info":"↹⩛-330053⨭⪣↹⩛115140=↹⩛322250","layer":2},{"info":"NaN∳⫺↹⩛322250=↹⩛-1112","layer":1},{"info":"↹⩛10231⇴↹⩛13120=↹⩛131104","layer":3},{"info":"↹⩛5310⫢⨠↹⩛20425=↹⩛424","layer":3},{"info":"↹⩛131104⩌⋺↹⩛424=↹⩛-132253","layer":2},{"info":"↹⩛35032⇼⇔∾↹⩛22251=↹⩛-12341","layer":3},{"info":"∮↹⩛20044=↹⩛151","layer":3},{"info":"↹⩛-12341∊∟⩊↹⩛151=↹⩛42","layer":2},{"info":"↹⩛-132253∓⋝↹⩛42=↹⩛-30150","layer":1},{"info":"↹⩛-1112⫯⪬∳↹⩛-30150=↹⩛1231","layer":0}]} +{"id":378,"expression_no_base_symbol":"(⩦⩻⨪$5538$)⨔⇊($1626$∷)⨼⩣($4215$⩷∴$1520$-(⊢≑≆$2127$))+⪬∐((↽≂($1067$⫚↹⊑$2215$))⋣⋖($1688$⨿$1372$∠↢$6514$⪕$1901$))","expression":"(⩦⩻⨪↹⩛41350)⨔⇊(↹⩛11310∷)⨼⩣(↹⩛31303⩷∴↹⩛11012-(⊢≑≆↹⩛13503))+⪬∐((↽≂(↹⩛4535⫚↹⊑↹⩛14131))⋣⋖(↹⩛11452⨿↹⩛10204∠↢↹⩛50054⪕↹⩛12445))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11469,"operation_count":14,"complexity_ratio":819.2142857142857,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5538,"base":6}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1626,"base":6}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4215,"base":6},"right_expr":{"type":"numeric_atoms","value":1520,"base":6}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2127,"base":6}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1067,"base":6},"right_expr":{"type":"numeric_atoms","value":2215,"base":6}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1688,"base":6},"right_expr":{"type":"numeric_atoms","value":1372,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6514,"base":6},"right_expr":{"type":"numeric_atoms","value":1901,"base":6}}}}},"used_operators":["2GS7woTJqF","JxwMv5le6e","JclMnS0uGI","2td37pGCOC","nFAOW8KTqp","rysDP5nf3Z","9FxExcQeMw","27wFxooxGf","J0M6qkBnIM","u6S6b8DprG","dfKe02y8D2","KbjG8mgYpV","abYXlopdE0","umQnsF7QlU"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5538","layer":4},{"info":"compute unary expreesion, input=5538, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5538","layer":3},{"info":"number node, value=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4878","layer":3},{"info":"compute binary expreesion, left_input=5538, right_input=4878, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4878","layer":2},{"info":"number node, value=4215","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=4215, right_input=1520, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5358","layer":3},{"info":"number node, value=2127","layer":4},{"info":"compute unary expreesion, input=2127, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=8960","layer":3},{"info":"compute binary expreesion, left_input=5358, right_input=8960, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3602","layer":2},{"info":"compute binary expreesion, left_input=4878, right_input=-3602, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=1067","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2215, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=894","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1372, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=6514","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=6514, right_input=1901, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12028","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=12028, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-166034","layer":2},{"info":"compute binary expreesion, left_input=894, right_input=-166034, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=894","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=894, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪↹⩛41350)⨔⇊(↹⩛11310∷)⨼⩣(↹⩛31303⩷∴↹⩛11012-(⊢≑≆↹⩛13503))+⪬∐((↽≂(↹⩛4535⫚↹⊑↹⩛14131))⋣⋖(↹⩛11452⨿↹⩛10204∠↢↹⩛50054⪕↹⩛12445))=NaN","reverse_text":"NaN=(⩦⩻⨪↹⩛41350)⨔⇊(↹⩛11310∷)⨼⩣(↹⩛31303⩷∴↹⩛11012-(⊢≑≆↹⩛13503))+⪬∐((↽≂(↹⩛4535⫚↹⊑↹⩛14131))⋣⋖(↹⩛11452⨿↹⩛10204∠↢↹⩛50054⪕↹⩛12445))","cot":[{"info":"⩦⩻⨪↹⩛41350=↹⩛41350","layer":3},{"info":"↹⩛11310∷=↹⩛34330","layer":3},{"info":"↹⩛41350⨔⇊↹⩛34330=↹⩛34330","layer":2},{"info":"↹⩛31303⩷∴↹⩛11012=↹⩛40450","layer":3},{"info":"⊢≑≆↹⩛13503=↹⩛105252","layer":3},{"info":"↹⩛40450-↹⩛105252=↹⩛-24402","layer":2},{"info":"↹⩛34330⨼⩣↹⩛-24402=NaN","layer":1},{"info":"↹⩛4535⫚↹⊑↹⩛14131=↹⩛-2023","layer":3},{"info":"↽≂↹⩛-2023=↹⩛4050","layer":2},{"info":"↹⩛11452⨿↹⩛10204=↹⩛-1251","layer":3},{"info":"↹⩛50054⪕↹⩛12445=↹⩛131404","layer":3},{"info":"↹⩛-1251∠↢���⩛131404=↹⩛-3320402","layer":2},{"info":"↹⩛4050⋣⋖↹⩛-3320402=↹⩛4050","layer":1},{"info":"NaN+⪬∐↹⩛4050=NaN","layer":0}]} +{"id":379,"expression_no_base_symbol":"(∂($2469$⨰$1035$)⪛$2164$⨜⨶$7601$)∣(⨡↴(⨵≀≌($7798$⩹$7240$)))","expression":"(∂(↹⩛15233⨰↹⩛4443)⪛↹⩛14004⨜⨶↹⩛55105)∣(⨡↴(⨵≀≌(↹⩛100034⩹↹⩛53304)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":479,"operation_count":8,"complexity_ratio":59.875,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2469,"base":6},"right_expr":{"type":"numeric_atoms","value":1035,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2164,"base":6},"right_expr":{"type":"numeric_atoms","value":7601,"base":6}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":7798,"base":6},"right_expr":{"type":"numeric_atoms","value":7240,"base":6}}}}},"used_operators":["PPChnnnBFF","Uaa54Peajs","uFcxV4UQCh","eewbuw0ToL","HiPekx5b7W","liw5iZPkLH","srAu1WTS94","2Wsdkap16l"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"↹⩛-132505","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2469","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=1035, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1444","layer":3},{"info":"number node, value=2164","layer":4},{"info":"number node, value=7601","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=7601, 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=-14946","layer":3},{"info":"compute binary expreesion, left_input=1444, right_input=-14946, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-13502","layer":2},{"info":"compute unary expreesion, input=-13502, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=13238","layer":1},{"info":"number node, value=7798","layer":4},{"info":"number node, value=7240","layer":4},{"info":"compute binary expreesion, left_input=7798, right_input=7240, 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=7238","layer":3},{"info":"compute unary expreesion, input=7238, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-21714","layer":2},{"info":"compute unary expreesion, input=-21714, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=13238, right_input=-55, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-12281","layer":0}],"base":6,"result_base":6,"text":"(∂(↹⩛15233⨰↹⩛4443)⪛↹⩛14004⨜⨶↹⩛55105)∣(⨡↴(⨵≀≌(↹⩛100034⩹↹⩛53304)))=↹⩛-132505","reverse_text":"↹⩛-132505=(∂(↹⩛15233⨰↹⩛4443)⪛↹⩛14004⨜⨶↹⩛55105)∣(⨡↴(⨵≀≌(↹⩛100034⩹↹⩛53304)))","cot":[{"info":"↹⩛15233⨰↹⩛4443=↹⩛10404","layer":3},{"info":"↹⩛14004⨜⨶↹⩛55105=↹⩛-153110","layer":3},{"info":"↹⩛10404⪛↹⩛-153110=↹⩛-142302","layer":2},{"info":"∂↹⩛-142302=↹⩛141142","layer":1},{"info":"↹⩛100034⩹↹⩛53304=↹⩛53302","layer":3},{"info":"⨵≀≌↹⩛53302=↹⩛-244310","layer":2},{"info":"⨡↴↹⩛-244310=↹⩛-131","layer":1},{"info":"↹⩛141142∣↹⩛-131=↹⩛-132505","layer":0}]} +{"id":380,"expression_no_base_symbol":"($3256$∣$6092$⨽($3209$⊭↱$2745$))⋳⪒(↞≼$1832$)≃($5566$⨘⋶⪀)⊭↱(($1001$⪨≂$2303$)⫳≱↱$7380$⩦$3979$⋻⩜⩜(⇠($1241$⨪↰⇹$2566$)))","expression":"(↹⩛23024∣↹⩛44112⨽(↹⩛22505⊭↱↹⩛20413))⋳⪒(↞≼↹⩛12252)≃(���⩛41434⨘⋶⪀)⊭↱((↹⩛4345⪨≂↹⩛14355)⫳≱↱↹⩛54100⩦↹⩛30231⋻⩜⩜(⇠(↹⩛5425⨪↰⇹↹⩛15514)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18717,"operation_count":14,"complexity_ratio":1336.9285714285713,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3256,"base":6},"right_expr":{"type":"numeric_atoms","value":6092,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3209,"base":6},"right_expr":{"type":"numeric_atoms","value":2745,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1832,"base":6}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":5566,"base":6}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1001,"base":6},"right_expr":{"type":"numeric_atoms","value":2303,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":7380,"base":6},"right_expr":{"type":"numeric_atoms","value":3979,"base":6}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1241,"base":6},"right_expr":{"type":"numeric_atoms","value":2566,"base":6}}}}},"used_operators":["COABgblf1C","12rbrZMWeM","8HhzD0ZcuI","PPChnnnBFF","YbVcJGFEVW","DE7zCoGJt9","XVKwrhznBb","oDCm7WA9JY","ZvLB05nZmT","sdazOOVcIp","0kmYd0q39Y","18saOjeKKm","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3256","layer":4},{"info":"number node, value=6092","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=6092, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3256","layer":3},{"info":"number node, value=3209","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=2745, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-923","layer":3},{"info":"compute binary expreesion, left_input=3256, right_input=-923, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-31800525","layer":2},{"info":"number node, value=1832","layer":4},{"info":"compute unary expreesion, input=1832, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=14242","layer":3},{"info":"number node, value=5566","layer":4},{"info":"compute unary expreesion, input=5566, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14242, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"compute binary expreesion, left_input=-31800525, right_input=69, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-63601406","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2303, 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=-2502","layer":3},{"info":"number node, value=7380","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=7380, right_input=3979, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=14760","layer":3},{"info":"compute binary expreesion, left_input=-2502, right_input=14760, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=2566","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=2566, 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=1241","layer":3},{"info":"compute unary expreesion, input=1241, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-999","layer":2},{"info":"compute binary expreesion, left_input=-2802, right_input=-999, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-63601406, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23024∣↹⩛44112⨽(↹⩛22505⊭↱↹⩛20413))⋳⪒(↞≼↹⩛12252)≃(↹⩛41434⨘⋶⪀)⊭↱((↹⩛4345⪨≂↹⩛14355)⫳≱↱↹⩛54100⩦↹⩛30231⋻⩜⩜(⇠(↹⩛5425⨪↰⇹↹⩛15514)))=NaN","reverse_text":"NaN=(↹⩛23024∣↹⩛44112⨽(↹⩛22505⊭↱↹⩛20413))⋳⪒(↞≼↹⩛12252)≃(↹⩛41434⨘⋶⪀)⊭↱((↹⩛4345⪨≂↹⩛14355)⫳≱↱↹⩛54100⩦↹⩛30231⋻⩜⩜(⇠(↹⩛5425⨪↰⇹↹⩛15514)))","cot":[{"info":"↹⩛23024∣↹⩛44112=↹⩛23024","layer":3},{"info":"↹⩛22505⊭↱↹⩛20413=↹⩛-4135","layer":3},{"info":"↹⩛23024⨽↹⩛-4135=↹⩛-3053332353","layer":2},{"info":"↞≼↹⩛12252=↹⩛145534","layer":3},{"info":"↹⩛41434⨘⋶⪀=NaN","layer":3},{"info":"↹⩛145534≃NaN=↹⩛153","layer":2},{"info":"↹⩛-3053332353⋳⪒↹⩛153=↹⩛-10151110542","layer":1},{"info":"↹⩛4345⪨≂↹⩛14355=↹⩛-15330","layer":3},{"info":"↹⩛54100⩦↹⩛30231=↹⩛152200","layer":3},{"info":"↹⩛-15330⫳≱↱↹⩛152200=↹⩛-20550","layer":2},{"info":"↹⩛5425⨪↰⇹↹⩛15514=↹⩛5425","layer":3},{"info":"⇠↹⩛5425=↹⩛-4343","layer":2},{"info":"↹⩛-20550⋻⩜⩜↹⩛-4343=NaN","layer":1},{"info":"↹⩛-10151110542⊭↱NaN=NaN","layer":0}]} +{"id":381,"expression_no_base_symbol":"(⋗⩴⪓(≘$1000$))⋻⩜⩜($3202$⨚$6258$⫍⨯↯)∙∹∝((⨣⨃⇪$6145$)⨜⨶($1423$⫡⨏$1098$)⩹(⊖$1544$∠⫱$2112$))","expression":"(⋗⩴⪓(≘↹⩛4344))⋻⩜⩜(↹⩛22454⨚↹⩛44550⫍⨯↯)∙∹∝((⨣⨃⇪↹⩛44241)⨜⨶(↹⩛10331⫡⨏↹⩛5030)⩹(⊖↹⩛11052∠⫱↹⩛13440))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2241,"operation_count":12,"complexity_ratio":186.75,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1000,"base":6}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3202,"base":6},"right_expr":{"type":"numeric_atoms","value":6258,"base":6}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":6145,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1423,"base":6},"right_expr":{"type":"numeric_atoms","value":1098,"base":6}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1544,"base":6},"right_expr":{"type":"numeric_atoms","value":2112,"base":6}}}}},"used_operators":["HmxsFra2vL","oDCm7WA9JY","nOKPl9n5zu","tcjXMdvYtA","ZcwmYACASQ","nREPSIbpBE","2Wsdkap16l","HiPekx5b7W","AcOhelriW5","QMFrweE19q","U6pG0PXrV3","QvoQhV0rrE"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2205784","layer":3},{"info":"compute unary expreesion, input=2205784, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2204871","layer":2},{"info":"number node, value=3202","layer":4},{"info":"number node, value=6258","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=6258, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-17694","layer":3},{"info":"compute unary expreesion, input=-17694, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-2204871, right_input=-134, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"number node, value=6145","layer":4},{"info":"compute unary expreesion, input=6145, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=1098, 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=10094","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=10094, 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=-19932","layer":2},{"info":"number node, value=1544","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=2112, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-19932, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋗⩴⪓(≘↹⩛4344))⋻⩜⩜(↹⩛22454⨚↹⩛44550⫍⨯↯)∙∹∝((⨣⨃⇪↹⩛44241)⨜⨶(↹⩛10331⫡⨏↹⩛5030)⩹(⊖↹⩛11052∠⫱↹⩛13440))=NaN","reverse_text":"NaN=(⋗⩴⪓(≘↹⩛4344))⋻⩜⩜(↹⩛22454⨚↹⩛44550⫍⨯↯)∙∹∝((⨣⨃⇪↹⩛44241)⨜⨶(↹⩛10331⫡⨏↹⩛5030)⩹(⊖↹⩛11052∠⫱↹⩛13440))","cot":[{"info":"≘↹⩛4344=↹⩛115135544","layer":3},{"info":"⋗⩴⪓↹⩛115135544=↹⩛-115131423","layer":2},{"info":"↹⩛22454⨚↹⩛44550=↹⩛-213530","layer":3},{"info":"↹⩛-213530⫍⨯↯=↹⩛-342","layer":2},{"info":"↹⩛-115131423⋻⩜⩜↹⩛-342=NaN","layer":1},{"info":"⨣⨃⇪↹⩛44241=↹⩛10301","layer":3},{"info":"↹⩛10331⫡⨏↹⩛5030=↹⩛114422","layer":3},{"info":"↹⩛10301⨜⨶↹⩛114422=↹⩛-232140","layer":2},{"info":"↹⩛11052∠⫱↹⩛13440=↹⩛5414","layer":3},{"info":"⊖↹⩛5414=↹⩛0","layer":2},{"info":"↹⩛-232140⩹↹⩛0=↹⩛-2","layer":1},{"info":"NaN∙∹∝↹⩛-2=NaN","layer":0}]} +{"id":382,"expression_no_base_symbol":"(($1853$⊔$1068$⨑≵⋬($6160$∙∹∝$1181$))≃⋄)⪛⫼(($6864$⨸⪁$1421$)⪛(⊿$1071$))⊮⊟↴(⨩∲⋌($1226$⇤$4770$))","expression":"((↹⩛12325⊔↹⩛4540⨑≵⋬(↹⩛44304∙∹∝↹⩛5245))≃⋄)⪛⫼((↹⩛51440⨸⪁↹⩛10325)⪛(⊿↹⩛4543))⊮⊟↴(⨩∲⋌(↹⩛5402⇤↹⩛34030))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":255,"operation_count":11,"complexity_ratio":23.181818181818183,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1853,"base":6},"right_expr":{"type":"numeric_atoms","value":1068,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6160,"base":6},"right_expr":{"type":"numeric_atoms","value":1181,"base":6}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6864,"base":6},"right_expr":{"type":"numeric_atoms","value":1421,"base":6}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1071,"base":6}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1226,"base":6},"right_expr":{"type":"numeric_atoms","value":4770,"base":6}}}}},"used_operators":["hyuBjUqXlG","aN9a90urxU","XnXgA4xnOs","E4l6HwMY31","HmxsFra2vL","QDVgd2eftb","uFcxV4UQCh","g55IO6H4Gj","DO4fhlbJSI","aSik1wnThz","YSKBFp38Pu"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","uFcxV4UQCh","jLgFTUHLKL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛4252","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=1068, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6646","layer":3},{"info":"number node, value=6160","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=6160, right_input=1181, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6646, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=35641","layer":2},{"info":"compute unary expreesion, input=35641, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":1},{"info":"number node, value=6864","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=6864, right_input=1421, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16570","layer":3},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5022","layer":3},{"info":"compute binary expreesion, left_input=16570, right_input=-5022, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-3518","layer":2},{"info":"number node, value=1226","layer":4},{"info":"number node, value=4770","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=4770, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-27132","layer":3},{"info":"compute unary expreesion, input=-27132, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-26895","layer":2},{"info":"compute binary expreesion, left_input=-3518, right_input=-26895, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=1574761","layer":1},{"info":"compute binary expreesion, left_input=764, right_input=1574761, 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":6,"result_base":6,"text":"((↹⩛12325⊔↹⩛4540⨑≵⋬(↹⩛44304∙∹∝↹⩛5245))≃⋄)⪛⫼((↹⩛51440⨸⪁↹⩛10325)⪛(⊿↹⩛4543))⊮⊟↴(⨩∲⋌(↹⩛5402⇤↹⩛34030))=↹⩛4252","reverse_text":"↹⩛4252=((↹⩛12325⊔↹⩛4540⨑≵⋬(↹⩛44304∙∹∝↹⩛5245))≃⋄)⪛⫼((↹⩛51440⨸⪁↹⩛10325)⪛(⊿↹⩛4543))⊮⊟↴(⨩∲⋌(↹⩛5402⇤↹⩛34030))","cot":[{"info":"↹⩛12325⊔↹⩛4540=↹⩛50434","layer":3},{"info":"↹⩛44304∙∹∝↹⩛5245=↹⩛0","layer":3},{"info":"↹⩛50434⨑≵⋬↹⩛0=↹⩛433001","layer":2},{"info":"↹⩛433001≃⋄=↹⩛3312","layer":1},{"info":"↹⩛51440⨸⪁↹⩛10325=↹⩛204414","layer":3},{"info":"⊿↹⩛4543=↹⩛-35130","layer":3},{"info":"↹⩛204414⪛↹⩛-35130=↹⩛-24142","layer":2},{"info":"↹⩛5402⇤↹⩛34030=↹⩛-325340","layer":3},{"info":"⨩∲⋌↹⩛-325340=↹⩛-324303","layer":2},{"info":"↹⩛-24142⊮⊟↴↹⩛-324303=↹⩛53430321","layer":1},{"info":"↹⩛3312⪛⫼↹⩛53430321=↹⩛4252","layer":0}]} +{"id":383,"expression_no_base_symbol":"(∜⨇(∓$1588$))⇴(↩(⪭⩑⪱$2544$))∽(≇⪴($3587$∀⇚≩$2788$)↳∿⪆($4078$⨫⇇↔$4560$))","expression":"(∜⨇(∓↹⩛11204))⇴(↩(⪭⩑⪱↹⩛15440))∽(≇⪴(↹⩛24335∀⇚≩↹⩛20524)↳∿⪆(↹⩛30514⨫⇇↔↹⩛33040))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":595448,"operation_count":10,"complexity_ratio":59544.8,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1588,"base":6}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2544,"base":6}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3587,"base":6},"right_expr":{"type":"numeric_atoms","value":2788,"base":6}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4078,"base":6},"right_expr":{"type":"numeric_atoms","value":4560,"base":6}}}}},"used_operators":["y4ImoPnbV5","4JB6nKBMSY","uFPyJr306J","OwUj7dcsQK","jLgFTUHLKL","SIgE0bArFf","zoVPnxeHJ3","Cw4SuJJGHO","LRNGc0VcxI","LXhwmt4mBO"],"dependent_operators":["NTOWxs364D","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","X99M06cbEe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-28692","layer":3},{"info":"compute unary expreesion, input=-28692, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-66563236","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-66563236, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"number node, value=3587","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=2788, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4078","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=4560, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∜⨇(∓↹⩛11204))⇴(↩(⪭⩑⪱↹⩛15440))∽(≇⪴(↹⩛24335∀⇚≩↹⩛20524)↳∿⪆(↹⩛30514⨫⇇↔↹⩛33040))=NaN","reverse_text":"NaN=(∜⨇(∓↹⩛11204))⇴(↩(⪭⩑⪱↹⩛15440))∽(≇⪴(↹⩛24335∀⇚≩↹⩛20524)↳∿⪆(↹⩛30514⨫⇇↔↹⩛33040))","cot":[{"info":"∓↹⩛11204=↹⩛-340500","layer":3},{"info":"∜⨇↹⩛-340500=NaN","layer":2},{"info":"⪭⩑⪱↹⩛15440=↹⩛454202000","layer":3},{"info":"↩↹⩛454202000=↹⩛-10334403044","layer":2},{"info":"NaN⇴↹⩛-10334403044=NaN","layer":1},{"info":"↹⩛24335∀⇚≩↹⩛20524=NaN","layer":3},{"info":"↹⩛30514⨫⇇↔↹⩛33040=↹⩛-2235","layer":3},{"info":"NaN↳∿⪆↹⩛-2235=NaN","layer":2},{"info":"≇⪴NaN=NaN","layer":1},{"info":"NaN∽NaN=NaN","layer":0}]} +{"id":384,"expression_no_base_symbol":"(((⫖→$1917$)⪁$4171$⩧⪆$1463$)⨔≚≋($4499$⪄$2311$)⩦($1247$∛$1984$))⇡⇂(⋗⩴⪓(⊲⪭(⇐$3681$)))","expression":"(((⫖→↹⩛12513)⪁↹⩛31151⩧⪆↹⩛10435)⨔≚≋(↹⩛32455⪄↹⩛14411)⩦(↹⩛5435∛↹⩛13104))⇡⇂(⋗⩴⪓(⊲⪭(⇐↹⩛25013)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1920179,"operation_count":11,"complexity_ratio":174561.72727272726,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1917,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4171,"base":6},"right_expr":{"type":"numeric_atoms","value":1463,"base":6}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4499,"base":6},"right_expr":{"type":"numeric_atoms","value":2311,"base":6}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1247,"base":6},"right_expr":{"type":"numeric_atoms","value":1984,"base":6}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3681,"base":6}}}}},"used_operators":["UMwdvZNt44","Z57zeUYC9z","I7sXao9hZE","U4ylXWHChL","Ikt5ks8PT7","0kmYd0q39Y","SUmda5xLS4","w2537kitQq","nOKPl9n5zu","k7HXdKtiEU","nmZMaaE0Q9"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eewbuw0ToL","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","i8ToyICDmI","xUOZtlo3hN","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1917","layer":4},{"info":"compute unary expreesion, input=1917, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=4171","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=1463, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1463","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-1463, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=4499","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=2311, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-671185","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=1984","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1984, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-671185, right_input=-670, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-6710133","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6710133, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=3681","layer":4},{"info":"compute unary expreesion, input=3681, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=9312","layer":3},{"info":"compute unary expreesion, input=9312, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-9486","layer":2},{"info":"compute unary expreesion, input=-9486, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=40564","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=40564, 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":6,"result_base":6,"text":"(((⫖→↹⩛12513)⪁↹⩛31151⩧⪆↹⩛10435)⨔≚≋(↹⩛32455⪄↹⩛14411)⩦(↹⩛5435∛↹⩛13104))⇡⇂(⋗⩴⪓(⊲⪭(⇐↹⩛25013)))=NaN","reverse_text":"NaN=(((⫖→↹⩛12513)⪁↹⩛31151⩧⪆↹⩛10435)⨔≚≋(↹⩛32455⪄↹⩛14411)⩦(↹⩛5435∛↹⩛13104))⇡⇂(⋗⩴⪓(⊲⪭(⇐↹⩛25013)))","cot":[{"info":"⫖→↹⩛12513=↹⩛453","layer":3},{"info":"↹⩛31151⩧⪆↹⩛10435=↹⩛-10435","layer":3},{"info":"↹⩛453⪁↹⩛-10435=NaN","layer":2},{"info":"↹⩛32455⪄↹⩛14411=↹⩛-22215201","layer":3},{"info":"↹⩛5435∛↹⩛13104=↹⩛-3034","layer":3},{"info":"↹⩛-22215201⩦↹⩛-3034=↹⩛-355453233","layer":2},{"info":"NaN⨔≚≋↹⩛-355453233=NaN","layer":1},{"info":"⇐↹⩛25013=↹⩛111040","layer":3},{"info":"⊲⪭↹⩛111040=↹⩛-111530","layer":2},{"info":"⋗⩴⪓↹⩛-111530=↹⩛511444","layer":1},{"info":"NaN⇡⇂↹⩛511444=NaN","layer":0}]} +{"id":385,"expression_no_base_symbol":"(⇨(∡$1090$))⫢⨠($1524$⋣⋖$3834$)⫉⨲⊜($4605$⪨≂$1366$)⨸⪁((⫡⇟⇯$8681$)⪒$4721$≚⊃≕$4464$)⪛($3146$⩁)↳≱($1744$↬$1017$)","expression":"(⇨(∡↹⩛5014))⫢⨠(↹⩛11020⋣⋖↹⩛25430)⫉⨲⊜(↹⩛33153⪨≂↹⩛10154)⨸⪁((⫡⇟⇯↹⩛104105)⪒↹⩛33505≚⊃≕↹⩛32400)⪛(↹⩛22322⩁)↳≱(↹⩛12024↬↹⩛4413)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":232,"operation_count":14,"complexity_ratio":16.571428571428573,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1090,"base":6}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1524,"base":6},"right_expr":{"type":"numeric_atoms","value":3834,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4605,"base":6},"right_expr":{"type":"numeric_atoms","value":1366,"base":6}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":8681,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4721,"base":6},"right_expr":{"type":"numeric_atoms","value":4464,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3146,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1744,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}}}}},"used_operators":["g55IO6H4Gj","xlXykHWxX1","G9tJMlZ94a","pRsWfj4Fpp","WhqkvtTD3t","J0M6qkBnIM","sdazOOVcIp","uFcxV4UQCh","f6k1SAg4EE","qWUSsah53b","Bmrmz2XGnR","JwTKLfZU96","5GqDbVmqXU","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","k8jYdgA6NY","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eewbuw0ToL","zVYPLywUTj","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1090","layer":3},{"info":"compute unary expreesion, input=-1090, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=3834","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=3834, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1524","layer":3},{"info":"number node, value=4605","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=1366, 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=6580","layer":3},{"info":"compute binary expreesion, left_input=1524, right_input=6580, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=8681","layer":4},{"info":"compute unary expreesion, input=8681, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=18230","layer":3},{"info":"number node, value=4721","layer":4},{"info":"number node, value=4464","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=4464, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=18230, right_input=67, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-18297","layer":2},{"info":"number node, value=3146","layer":4},{"info":"compute unary expreesion, input=3146, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-22388","layer":3},{"info":"number node, value=1744","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1017, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22388, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-18297, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇨(∡↹⩛5014))⫢⨠(↹⩛11020⋣⋖↹⩛25430)⫉⨲⊜(↹⩛33153⪨≂↹⩛10154)⨸⪁((⫡⇟⇯↹⩛104105)⪒↹⩛33505≚⊃≕↹⩛32400)⪛(↹⩛22322⩁)↳≱(↹⩛12024↬↹⩛4413)=NaN","reverse_text":"NaN=(⇨(∡↹⩛5014))⫢⨠(↹⩛11020⋣⋖↹⩛25430)⫉⨲⊜(↹⩛33153⪨≂↹⩛10154)⨸⪁((⫡⇟⇯↹⩛104105)⪒↹⩛33505≚⊃≕↹⩛32400)⪛(↹⩛22322⩁)↳≱(↹⩛12024↬↹⩛4413)","cot":[{"info":"∡↹⩛5014=↹⩛-5014","layer":3},{"info":"⇨↹⩛-5014=↹⩛0","layer":2},{"info":"↹⩛11020⋣⋖↹⩛25430=↹⩛11020","layer":3},{"info":"↹⩛33153⪨≂↹⩛10154=↹⩛50244","layer":3},{"info":"↹⩛11020⫉⨲⊜↹⩛50244=↹⩛0","layer":2},{"info":"↹⩛0⫢⨠↹⩛0=NaN","layer":1},{"info":"⫡⇟⇯↹⩛104105=↹⩛220222","layer":3},{"info":"↹⩛33505≚⊃≕↹⩛32400=↹⩛151","layer":3},{"info":"↹⩛220222⪒↹⩛151=↹⩛-220413","layer":2},{"info":"↹⩛22322⩁=↹⩛-251352","layer":3},{"info":"↹⩛12024↬↹⩛4413=NaN","layer":3},{"info":"↹⩛-251352↳≱NaN=↹⩛0","layer":2},{"info":"↹⩛-220413⪛↹⩛0=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]} +{"id":386,"expression_no_base_symbol":"(($4349$⨑≵⋬$7959$)≦↸($7650$⋫)⪄($6708$≑≱⪘)⩺⪪$1336$≒∊$6404$)⪘⫢(⩦⊞($2697$⪇≇⋚$2755$)⋥⋵⩄(⩦⩻⨪$2449$))","expression":"((↹⩛32045⨑≵⋬↹⩛100503)≦↸(↹⩛55230⋫)⪄(↹⩛51020≑≱⪘)⩺⪪↹⩛10104≒∊↹⩛45352)⪘⫢(⩦⊞(↹⩛20253⪇≇⋚↹⩛20431)⋥⋵⩄(⩦⩻⨪↹⩛15201))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8073,"operation_count":12,"complexity_ratio":672.75,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4349,"base":6},"right_expr":{"type":"numeric_atoms","value":7959,"base":6}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7650,"base":6}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":6708,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1336,"base":6},"right_expr":{"type":"numeric_atoms","value":6404,"base":6}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2697,"base":6},"right_expr":{"type":"numeric_atoms","value":2755,"base":6}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2449,"base":6}}}}},"used_operators":["oacrs7FA3X","SUmda5xLS4","RygbFNSyEJ","XnXgA4xnOs","JL8yIekQnl","uvdQJvN4PV","tGSeddj7UK","5KTvxBwnZo","u7fv1HBiaC","7t3wd0Fuz7","3sJ7IOPOlU","2td37pGCOC"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4349","layer":4},{"info":"number node, value=7959","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=7959, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-32589","layer":3},{"info":"number node, value=7650","layer":4},{"info":"compute unary expreesion, input=7650, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7650","layer":3},{"info":"compute binary expreesion, left_input=-32589, right_input=7650, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=50559","layer":2},{"info":"number node, value=6708","layer":4},{"info":"compute unary expreesion, input=6708, 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=170773","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=6404","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=6404, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=170773, right_input=-852, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-2746898","layer":2},{"info":"compute binary expreesion, left_input=50559, right_input=-2746898, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3508771","layer":1},{"info":"number node, value=2697","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=2755, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2449","layer":4},{"info":"compute unary expreesion, input=2449, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2449","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2449, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=170","layer":1},{"info":"compute binary expreesion, left_input=3508771, right_input=170, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛32045⨑≵⋬↹⩛100503)≦↸(↹⩛55230⋫)⪄(↹⩛51020≑≱⪘)⩺⪪↹⩛10104≒∊↹⩛45352)⪘⫢(⩦⊞(↹⩛20253⪇≇⋚↹⩛20431)⋥⋵⩄(⩦⩻⨪↹⩛15201))=↹⩛0","reverse_text":"↹⩛0=((↹⩛32045⨑≵⋬↹⩛100503)≦↸(↹⩛55230⋫)⪄(↹⩛51020≑≱⪘)⩺⪪↹⩛10104≒∊↹⩛45352)⪘⫢(⩦⊞(↹⩛20253⪇≇⋚↹⩛20431)⋥⋵⩄(⩦⩻⨪↹⩛15201))","cot":[{"info":"↹⩛32045⨑≵⋬↹⩛100503=↹⩛-410513","layer":3},{"info":"↹⩛55230⋫=↹⩛55230","layer":3},{"info":"↹⩛-410513≦↸↹⩛55230=↹⩛1030023","layer":2},{"info":"↹⩛51020≑≱⪘=↹⩛3354341","layer":3},{"info":"↹⩛10104≒∊↹⩛45352=↹⩛-3540","layer":3},{"info":"↹⩛3354341⩺⪪↹⩛-3540=↹⩛-134513042","layer":2},{"info":"↹⩛1030023⪄↹⩛-134513042=↹⩛203112151","layer":1},{"info":"↹⩛20253⪇≇⋚↹⩛20431=↹⩛0","layer":3},{"info":"⩦⩻⨪↹⩛15201=↹⩛15201","layer":3},{"info":"↹⩛0⋥⋵⩄↹⩛15201=↹⩛305","layer":2},{"info":"⩦⊞↹⩛305=↹⩛442","layer":1},{"info":"↹⩛203112151⪘⫢↹⩛442=↹⩛0","layer":0}]} +{"id":387,"expression_no_base_symbol":"($2398$⨽∌$2134$⫲≸⪮($3489$-$3197$))+⪬∐($3310$↤⩊$1477$)⨂≜($2151$⩁⩘$7095$)≃((≸$2598$⋕⪉⪜$1523$)↫)","expression":"(↹⩛15034⨽∌↹⩛13514⫲≸⪮(↹⩛24053-↹⩛22445))+⪬∐(↹⩛23154↤⩊↹⩛10501)⨂≜(↹⩛13543⩁⩘↹⩛52503)≃((≸↹⩛20010⋕⪉⪜↹⩛11015)↫)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":396,"operation_count":11,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2398,"base":6},"right_expr":{"type":"numeric_atoms","value":2134,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3489,"base":6},"right_expr":{"type":"numeric_atoms","value":3197,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3310,"base":6},"right_expr":{"type":"numeric_atoms","value":1477,"base":6}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2151,"base":6},"right_expr":{"type":"numeric_atoms","value":7095,"base":6}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2598,"base":6},"right_expr":{"type":"numeric_atoms","value":1523,"base":6}}}}},"used_operators":["YbVcJGFEVW","2GS7woTJqF","P3lXMJvFrc","9samAPKr6k","rysDP5nf3Z","k1SHOSEABc","13rbtpv6ld","gub5Cegaqo","uPb5QRN0te","eOf03JbCpp","z6LnFrNh4i"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DpFCA1CohY","IWmyXbctLI","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"↹⩛-10144","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2398","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=2134, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3489","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=3197, op_id = rysDP5nf3Z binary_op_definition= 'None', output=292","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=292, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":2},{"info":"number node, value=3310","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=1477, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2151","layer":4},{"info":"number node, value=7095","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=7095, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=29328","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29328, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":1},{"info":"number node, value=2598","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=1523, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute unary expreesion, input=58, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, 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":6,"result_base":6,"text":"(↹⩛15034⨽∌↹⩛13514⫲≸⪮(↹⩛24053-↹⩛22445))+⪬∐(↹⩛23154↤⩊↹⩛10501)⨂≜(↹⩛13543⩁⩘↹⩛52503)≃((≸↹⩛20010⋕⪉⪜↹⩛11015)↫)=↹⩛-10144","reverse_text":"↹⩛-10144=(↹⩛15034⨽∌↹⩛13514⫲≸⪮(↹⩛24053-↹⩛22445))+⪬∐(↹⩛23154↤⩊↹⩛10501)⨂≜(↹⩛13543⩁⩘↹⩛52503)≃((≸↹⩛20010⋕⪉⪜↹⩛11015)↫)","cot":[{"info":"↹⩛15034⨽∌↹⩛13514=↹⩛0","layer":3},{"info":"↹⩛24053-↹⩛22445=↹⩛1204","layer":3},{"info":"↹⩛0⫲≸⪮↹⩛1204=↹⩛0","layer":2},{"info":"↹⩛23154↤⩊↹⩛10501=NaN","layer":3},{"info":"↹⩛13543⩁⩘↹⩛52503=↹⩛343440","layer":3},{"info":"NaN⨂≜↹⩛343440=NaN","layer":2},{"info":"↹⩛0+⪬∐NaN=↹⩛0","layer":1},{"info":"↹⩛20010⋕⪉⪜↹⩛11015=↹⩛20550","layer":3},{"info":"≸↹⩛20550=↹⩛134","layer":2},{"info":"↹⩛134↫=↹⩛424","layer":1},{"info":"↹⩛0≃↹⩛424=↹⩛-10144","layer":0}]} +{"id":388,"expression_no_base_symbol":"(⨝⨆($1560$⋆⋳)∴($2934$⫉⨲⊜$2610$))⋅⇍($6628$⪭$5263$∠↢($1014$↰)⫡⨏$7525$⩁⩘$6636$↺$3138$⫁$1133$)","expression":"(⨝⨆(↹⩛11120⋆⋳)∴(↹⩛21330⫉⨲⊜↹⩛20030))⋅⇍(↹⩛50404⪭↹⩛40211∠↢(↹⩛4410↰)⫡⨏↹⩛54501⩁⩘↹⩛50420↺↹⩛22310⫁↹⩛5125)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":207,"operation_count":12,"complexity_ratio":17.25,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1560,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2934,"base":6},"right_expr":{"type":"numeric_atoms","value":2610,"base":6}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6628,"base":6},"right_expr":{"type":"numeric_atoms","value":5263,"base":6}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1014,"base":6}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7525,"base":6},"right_expr":{"type":"numeric_atoms","value":6636,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3138,"base":6},"right_expr":{"type":"numeric_atoms","value":1133,"base":6}}}}},"used_operators":["AdZkA7nFnk","bQ67fsrMVf","hrf7POJlIJ","6MpZysEj17","WhqkvtTD3t","QMFrweE19q","KbjG8mgYpV","j9kHMeSvPp","bl5wxAcryP","7j4O788W3g","gub5Cegaqo","0ajvFaJAv0"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tifHPKVTfV","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","COABgblf1C","xUOZtlo3hN","nCS4ZIUYfx","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","cHh1gJQ2o6","AHs5Up7iyr"],"result":"↹⩛31512","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-3152","layer":3},{"info":"number node, value=2934","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=2610, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3152, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-4656","layer":2},{"info":"compute unary expreesion, input=-4656, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-4865","layer":1},{"info":"number node, value=6628","layer":4},{"info":"number node, value=5263","layer":4},{"info":"compute binary expreesion, left_input=6628, right_input=5263, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=913","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=913, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴��a))) , else }', output=-11720","layer":2},{"info":"number node, value=7525","layer":4},{"info":"number node, value=6636","layer":4},{"info":"compute binary expreesion, left_input=7525, right_input=6636, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=27492","layer":3},{"info":"number node, value=3138","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=1133, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=27492, 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":2},{"info":"compute binary expreesion, left_input=-11720, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-57497","layer":1},{"info":"compute binary expreesion, left_input=-4865, right_input=-57497, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=4292","layer":0}],"base":6,"result_base":6,"text":"(⨝⨆(↹⩛11120⋆⋳)∴(↹⩛21330⫉⨲⊜↹⩛20030))⋅⇍(↹⩛50404⪭↹⩛40211∠↢(↹⩛4410↰)⫡⨏↹⩛54501⩁⩘↹⩛50420↺↹⩛22310⫁↹⩛5125)=↹⩛31512","reverse_text":"↹⩛31512=(⨝⨆(↹⩛11120⋆⋳)∴(↹⩛21330⫉⨲⊜↹⩛20030))⋅⇍(↹⩛50404⪭↹⩛40211∠↢(↹⩛4410↰)⫡⨏↹⩛54501⩁⩘↹⩛50420↺↹⩛22310⫁↹⩛5125)","cot":[{"info":"↹⩛11120⋆⋳=↹⩛-22332","layer":3},{"info":"↹⩛21330⫉⨲⊜↹⩛20030=↹⩛0","layer":3},{"info":"↹⩛-22332∴↹⩛0=↹⩛-33320","layer":2},{"info":"⨝⨆↹⩛-33320=↹⩛-34305","layer":1},{"info":"↹⩛50404⪭↹⩛40211=↹⩛5","layer":3},{"info":"↹⩛4410↰=↹⩛4121","layer":3},{"info":"↹⩛5∠↢↹⩛4121=↹⩛-130132","layer":2},{"info":"↹⩛54501⩁⩘↹⩛50420=↹⩛331140","layer":3},{"info":"↹⩛22310⫁↹⩛5125=↹⩛424","layer":3},{"info":"↹⩛331140↺↹⩛424=↹⩛424","layer":2},{"info":"↹⩛-130132⫡⨏↹⩛424=↹⩛-1122105","layer":1},{"info":"↹⩛-34305⋅⇍↹⩛-1122105=↹⩛31512","layer":0}]} +{"id":389,"expression_no_base_symbol":"⊖∈((∟⋨(⫖→$5346$))⇡)","expression":"⊖∈((∟⋨(⫖→↹⩛40430))⇡)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14586,"operation_count":4,"complexity_ratio":3646.5,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5346,"base":6}}}}},"used_operators":["YFxL8Sc2Zy","UqFzSgLMvQ","ctOc4cKSDt","U4ylXWHChL"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"↹⩛24540353030","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5346","layer":4},{"info":"compute unary expreesion, input=5346, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=307","layer":2},{"info":"compute unary expreesion, input=307, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute unary expreesion, input=-2917, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=170791434","layer":0}],"base":6,"result_base":6,"text":"⊖∈((∟⋨(⫖→↹⩛40430))⇡)=↹⩛24540353030","reverse_text":"↹⩛24540353030=⊖∈((∟⋨(⫖→↹⩛40430))⇡)","cot":[{"info":"⫖→↹⩛40430=↹⩛453","layer":3},{"info":"∟⋨↹⩛453=↹⩛1231","layer":2},{"info":"↹⩛1231⇡=↹⩛-21301","layer":1},{"info":"⊖∈↹⩛-21301=↹⩛24540353030","layer":0}]} +{"id":390,"expression_no_base_symbol":"⇐(($3107$+⇶⊼$3291$⫡⨏($2901$⪁$2434$))⩖⊿$3147$⊮⊟↴$1161$≌($8279$⇄$1320$))","expression":"⇐((↹⩛22215+⇶⊼↹⩛23123⫡⨏(↹⩛21233⪁↹⩛15134))⩖⊿↹⩛22323⊮⊟↴↹⩛5213≌(↹⩛102155⇄↹⩛10040))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":86227297,"operation_count":8,"complexity_ratio":10778412.125,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3107,"base":6},"right_expr":{"type":"numeric_atoms","value":3291,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2901,"base":6},"right_expr":{"type":"numeric_atoms","value":2434,"base":6}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3147,"base":6},"right_expr":{"type":"numeric_atoms","value":1161,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":8279,"base":6},"right_expr":{"type":"numeric_atoms","value":1320,"base":6}}}}},"used_operators":["nmZMaaE0Q9","RZ5CV9rWsJ","QMFrweE19q","TpPTUOHfaN","I7sXao9hZE","lyWz822IDG","QDVgd2eftb","3EYGwJThht"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3107","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=3107, right_input=3291, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2901","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=2434, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=3147","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=1161, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=8279","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=8279, right_input=1320, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9080, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇐((↹⩛22215+⇶⊼↹⩛23123⫡⨏(↹⩛21233⪁↹⩛15134))⩖⊿↹⩛22323⊮⊟↴↹⩛5213≌(↹⩛102155⇄↹⩛10040))=NaN","reverse_text":"NaN=⇐((↹⩛22215+⇶⊼↹⩛23123⫡⨏(↹⩛21233⪁↹⩛15134))⩖⊿↹⩛22323⊮⊟↴↹⩛5213≌(↹⩛102155⇄↹⩛10040))","cot":[{"info":"↹⩛22215+⇶⊼↹⩛23123=NaN","layer":3},{"info":"↹⩛21233⪁↹⩛15134=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"↹⩛22323⊮⊟↴↹⩛5213=↹⩛0","layer":3},{"info":"↹⩛102155⇄↹⩛10040=↹⩛0","layer":3},{"info":"↹⩛0≌↹⩛0=↹⩛110012","layer":2},{"info":"NaN⩖⊿↹⩛110012=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]} +{"id":391,"expression_no_base_symbol":"(⇜⊴(⪁⇼($3030$⫁⪎$5945$)))∠⫱((⨡↴$1246$)∴$1464$↳≱$3985$⨸⪁($1042$⋹⋡⊁$1725$⊜))","expression":"(⇜⊴(⪁⇼(↹⩛22010⫁⪎↹⩛43305)))∠⫱((⨡↴↹⩛5434)∴↹⩛10440↳≱↹⩛30241⨸⪁(↹⩛4454⋹⋡⊁↹⩛11553⊜))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62746,"operation_count":10,"complexity_ratio":6274.6,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3030,"base":6},"right_expr":{"type":"numeric_atoms","value":5945,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1246,"base":6}},"right_expr":{"type":"binary","operator":"���≱","left_expr":{"type":"numeric_atoms","value":1464,"base":6},"right_expr":{"type":"numeric_atoms","value":3985,"base":6}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1042,"base":6},"right_expr":{"type":"numeric_atoms","value":1725,"base":6}}}}},"used_operators":["QvoQhV0rrE","XwDhCwWbUn","ZNVVrZ94lY","xRrnTEsQ6j","g55IO6H4Gj","hrf7POJlIJ","liw5iZPkLH","JwTKLfZU96","Eev2Q7dYIw","As8RqfVLgs"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","P8v4zCKN1o","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"↹⩛40250","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3030","layer":4},{"info":"number node, value=5945","layer":4},{"info":"compute binary expreesion, left_input=3030, right_input=5945, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2915","layer":3},{"info":"compute unary expreesion, input=-2915, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute unary expreesion, input=422, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=1434","layer":1},{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2295","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=3985, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2295, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6238","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1725, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2475","layer":3},{"info":"compute unary expreesion, input=2475, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-8164","layer":2},{"info":"compute binary expreesion, left_input=6238, right_input=-8164, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-3852","layer":1},{"info":"compute binary expreesion, left_input=1434, right_input=-3852, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=5286","layer":0}],"base":6,"result_base":6,"text":"(⇜⊴(⪁⇼(↹⩛22010⫁⪎↹⩛43305)))∠⫱((⨡↴↹⩛5434)∴↹⩛10440↳≱↹⩛30241⨸⪁(↹⩛4454⋹⋡⊁↹⩛11553⊜))=↹⩛40250","reverse_text":"↹⩛40250=(⇜⊴(⪁⇼(↹⩛22010⫁⪎↹⩛43305)))∠⫱((⨡↴↹⩛5434)∴↹⩛10440↳≱↹⩛30241⨸⪁(↹⩛4454⋹⋡⊁↹⩛11553⊜))","cot":[{"info":"↹⩛22010⫁⪎↹⩛43305=↹⩛-21255","layer":3},{"info":"⪁⇼↹⩛-21255=↹⩛1542","layer":2},{"info":"⇜⊴↹⩛1542=↹⩛10350","layer":1},{"info":"⨡↴↹⩛5434=↹⩛14343","layer":3},{"info":"↹⩛10440↳≱↹⩛30241=↹⩛0","layer":3},{"info":"↹⩛14343∴↹⩛0=↹⩛44514","layer":2},{"info":"↹⩛4454⋹⋡⊁↹⩛11553=↹⩛15243","layer":3},{"info":"↹⩛15243⊜=↹⩛-101444","layer":2},{"info":"↹⩛44514⨸⪁↹⩛-101444=↹⩛-25500","layer":1},{"info":"↹⩛10350∠⫱↹⩛-25500=↹⩛40250","layer":0}]} +{"id":392,"expression_no_base_symbol":"((∐⩳⋚$1638$)∋($3259$⋝⋈⪟$5991$)⫠↝⫳)⊲⩕⊾(($1968$∲⫓$1677$)⪛($1032$⊵↤))⩘(($2889$↛⩡⫤)+⇶⊼$3301$⫁$1521$)","expression":"((∐⩳⋚↹⩛11330)∋(↹⩛23031⋝⋈⪟↹⩛43423)⫠↝⫳)⊲⩕⊾((↹⩛13040∲⫓↹⩛11433)⪛(↹⩛4440⊵↤))⩘((↹⩛21213↛⩡⫤)+⇶⊼↹⩛23141⫁↹⩛11013)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9340,"operation_count":12,"complexity_ratio":778.3333333333334,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1638,"base":6}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3259,"base":6},"right_expr":{"type":"numeric_atoms","value":5991,"base":6}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1968,"base":6},"right_expr":{"type":"numeric_atoms","value":1677,"base":6}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1032,"base":6}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2889,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3301,"base":6},"right_expr":{"type":"numeric_atoms","value":1521,"base":6}}}}},"used_operators":["DmTXOeWf9t","8n5YIzOsVS","ukq6epAj5P","SL6IHkK8vl","2DDjHMKMc0","cHh1gJQ2o6","uFcxV4UQCh","i8ToyICDmI","7IPrd9c3lf","TpPTUOHfaN","FU0Cs4j7VP","0ajvFaJAv0"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr"],"result":"-Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=228955","layer":3},{"info":"number node, value=3259","layer":4},{"info":"number node, value=5991","layer":4},{"info":"compute binary expreesion, left_input=3259, right_input=5991, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3259","layer":3},{"info":"compute binary expreesion, left_input=228955, right_input=3259, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=18604636","layer":2},{"info":"compute unary expreesion, input=18604636, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=595348975","layer":1},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1677, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=2889","layer":4},{"info":"compute unary expreesion, input=2889, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-432328","layer":3},{"info":"number node, value=3301","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=3301, right_input=1521, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-432328, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=595348975, right_input=160, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-inf","layer":0}],"base":6,"result_base":6,"text":"((∐⩳⋚↹⩛11330)��(↹⩛23031⋝⋈⪟↹⩛43423)⫠↝⫳)⊲⩕⊾((↹⩛13040∲⫓↹⩛11433)⪛(↹⩛4440⊵↤))⩘((↹⩛21213↛⩡⫤)+⇶⊼↹⩛23141⫁↹⩛11013)=-Inf","reverse_text":"-Inf=((∐⩳⋚↹⩛11330)∋(↹⩛23031⋝⋈⪟↹⩛43423)⫠↝⫳)⊲⩕⊾((↹⩛13040∲⫓↹⩛11433)⪛(↹⩛4440⊵↤))⩘((↹⩛21213↛⩡⫤)+⇶⊼↹⩛23141⫁↹⩛11013)","cot":[{"info":"∐⩳⋚↹⩛11330=↹⩛4523551","layer":3},{"info":"↹⩛23031⋝⋈⪟↹⩛43423=↹⩛23031","layer":3},{"info":"↹⩛4523551∋↹⩛23031=↹⩛1502432324","layer":2},{"info":"↹⩛1502432324⫠↝⫳=↹⩛135024221131","layer":1},{"info":"↹⩛13040∲⫓↹⩛11433=↹⩛0","layer":3},{"info":"↹⩛4440⊵↤=↹⩛151","layer":3},{"info":"↹⩛0⪛↹⩛151=↹⩛0","layer":2},{"info":"↹⩛21213↛⩡⫤=↹⩛-13133304","layer":3},{"info":"↹⩛23141⫁↹⩛11013=↹⩛424","layer":3},{"info":"↹⩛-13133304+⇶⊼↹⩛424=NaN","layer":2},{"info":"↹⩛0⩘NaN=↹⩛424","layer":1},{"info":"↹⩛135024221131⊲⩕⊾↹⩛424=-Inf","layer":0}]} +{"id":393,"expression_no_base_symbol":"(($8138$∷$2917$)⫢⨠(⨩∲⋌$2257$)∲⫓($2989$⊿∆)≃($1004$⫦⪉$1155$))≧⫂∧(≀↧⇸($1818$≧⫂∧$1109$⇼⇔∾$1631$∑⇟⊟$1201$))","expression":"((↹⩛101402∷↹⩛21301)⫢⨠(⨩∲⋌↹⩛14241)∲⫓(↹⩛21501⊿∆)≃(↹⩛4352⫦⪉↹⩛5203))≧⫂∧(≀↧⇸(↹⩛12230≧⫂∧↹⩛5045⇼⇔∾↹⩛11315∑⇟⊟↹⩛5321))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":121,"operation_count":12,"complexity_ratio":10.083333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":8138,"base":6},"right_expr":{"type":"numeric_atoms","value":2917,"base":6}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2257,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":2989,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":1155,"base":6}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1818,"base":6},"right_expr":{"type":"numeric_atoms","value":1109,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1631,"base":6},"right_expr":{"type":"numeric_atoms","value":1201,"base":6}}}}},"used_operators":["Ph9nP6C5qx","i8ToyICDmI","xlXykHWxX1","D3AQDKkPcf","aSik1wnThz","YbVcJGFEVW","fv3ZujxkQL","wscyQdcy20","ljTHtUsqzn","tifHPKVTfV","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8138","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=8138, right_input=2917, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2917","layer":3},{"info":"number node, value=2257","layer":4},{"info":"compute unary expreesion, input=2257, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2780","layer":3},{"info":"compute binary expreesion, left_input=2917, right_input=-2780, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=2989","layer":4},{"info":"compute unary expreesion, input=2989, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-6099","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1155, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2892","layer":3},{"info":"compute binary expreesion, left_input=-6099, right_input=2892, 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=12178","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=12178, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1818","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=1109, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=636","layer":3},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1201, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=636, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛101402∷↹⩛21301)⫢⨠(⨩∲⋌↹⩛14241)∲⫓(↹⩛21501⊿∆)≃(↹⩛4352⫦⪉↹⩛5203))≧⫂∧(≀↧⇸(↹⩛12230≧⫂∧↹⩛5045⇼⇔∾↹⩛11315∑⇟⊟↹⩛5321))=NaN","reverse_text":"NaN=((↹⩛101402∷↹⩛21301)⫢⨠(⨩∲⋌↹⩛14241)∲⫓(↹⩛21501⊿∆)≃(↹⩛4352⫦⪉↹⩛5203))≧⫂∧(≀↧⇸(↹⩛12230≧⫂∧↹⩛5045⇼⇔∾↹⩛11315∑⇟⊟↹⩛5321))","cot":[{"info":"↹⩛101402∷↹⩛21301=↹⩛21301","layer":3},{"info":"⨩∲⋌↹⩛14241=↹⩛-20512","layer":3},{"info":"↹⩛21301⫢⨠↹⩛-20512=↹⩛424","layer":2},{"info":"↹⩛21501⊿∆=↹⩛-44123","layer":3},{"info":"↹⩛4352⫦⪉↹⩛5203=↹⩛21220","layer":3},{"info":"↹⩛-44123≃↹⩛21220=↹⩛132214","layer":2},{"info":"↹⩛424∲⫓↹⩛132214=↹⩛0","layer":1},{"info":"↹⩛12230≧⫂∧↹⩛5045=↹⩛2540","layer":3},{"info":"↹⩛11315∑⇟⊟↹⩛5321=NaN","layer":3},{"info":"↹⩛2540⇼⇔∾NaN=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"↹⩛0≧⫂∧NaN=NaN","layer":0}]} +{"id":394,"expression_no_base_symbol":"⫟(↔(⨩∲⋌$2765$))+⇶⊼((⨴⫝$1028$)⩵∡$1361$⊢$1634$)","expression":"⫟(↔(⨩∲⋌↹⩛20445))+⇶⊼((⨴⫝↹⩛4432)⩵∡↹⩛10145⊢↹⩛11322)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1890,"operation_count":7,"complexity_ratio":270.0,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2765,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1028,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1361,"base":6},"right_expr":{"type":"numeric_atoms","value":1634,"base":6}}}}},"used_operators":["z4E1FaHLuy","TpPTUOHfaN","ruOEQAzv1W","aSik1wnThz","Y7wcNGrDQJ","SVb2v531z1","5twsqlHp2o"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2765","layer":4},{"info":"compute unary expreesion, input=2765, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3288","layer":3},{"info":"compute unary expreesion, input=-3288, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1634, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2966","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-2966, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5659483","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-5659483, 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 = 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":6,"result_base":6,"text":"⫟(↔(⨩∲⋌↹⩛20445))+⇶⊼((⨴⫝↹⩛4432)⩵∡↹⩛10145⊢↹⩛11322)=NaN","reverse_text":"NaN=⫟(↔(⨩∲⋌↹⩛20445))+⇶⊼((⨴⫝↹⩛4432)⩵∡↹⩛10145⊢↹⩛11322)","cot":[{"info":"⨩∲⋌↹⩛20445=↹⩛-23120","layer":3},{"info":"↔↹⩛-23120=↹⩛-342","layer":2},{"info":"⨴⫝↹⩛4432=↹⩛140341302","layer":3},{"info":"↹⩛10145⊢↹⩛11322=↹⩛-21422","layer":3},{"info":"↹⩛140341302⩵∡↹⩛-21422=↹⩛-321145151","layer":2},{"info":"↹⩛-342+⇶⊼↹⩛-321145151=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]} +{"id":395,"expression_no_base_symbol":"(($1653$⨭⪣$1572$)⪇≇⋚(⊲⪭$2003$)∕⩚($2582$⪘⫢$9746$)≹⇙⪍($3197$∼$4944$))⇮⋭($3661$∙∹∝$9083$⩢≌)⫰⋱(⫎≠⋺($1999$∕⩚$2352$))","expression":"((↹⩛11353⨭⪣↹⩛11140)⪇≇⋚(⊲⪭↹⩛13135)∕⩚(↹⩛15542⪘⫢↹⩛113042)≹⇙⪍(↹⩛22445∼↹⩛34520))⇮⋭(↹⩛24541∙∹∝↹⩛110015⩢≌)⫰⋱(⫎≠⋺(↹⩛13131∕⩚↹⩛14520))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2460,"operation_count":13,"complexity_ratio":189.23076923076923,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1653,"base":6},"right_expr":{"type":"numeric_atoms","value":1572,"base":6}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2003,"base":6}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2582,"base":6},"right_expr":{"type":"numeric_atoms","value":9746,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3197,"base":6},"right_expr":{"type":"numeric_atoms","value":4944,"base":6}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3661,"base":6},"right_expr":{"type":"numeric_atoms","value":9083,"base":6}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1999,"base":6},"right_expr":{"type":"numeric_atoms","value":2352,"base":6}}}}},"used_operators":["vkpjKywKVM","z9ffQ9n5Zr","3sJ7IOPOlU","kn8WO9XteQ","k7HXdKtiEU","AHs5Up7iyr","oacrs7FA3X","DyGG3AbaNP","6o9Blt3TJ6","D617RFjZIq","HmxsFra2vL","LYeZOJ0nQG"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","i8ToyICDmI","xUOZtlo3hN","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","hTbEZDJLEm","o20kRiQErp","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1653","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1572, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=374","layer":3},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2177","layer":3},{"info":"compute binary expreesion, left_input=374, right_input=-2177, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2582","layer":4},{"info":"number node, value=9746","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=9746, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5040","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=4944","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=4944, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5040, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=3661","layer":4},{"info":"number node, value=9083","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=9083, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"number node, value=1999","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2352, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2002","layer":3},{"info":"compute unary expreesion, input=-2002, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-709, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=663","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=663, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11353⨭⪣↹⩛11140)⪇≇⋚(⊲⪭↹⩛13135)∕⩚(↹⩛15542⪘⫢↹⩛113042)≹⇙⪍(↹⩛22445∼↹⩛34520))⇮⋭(↹⩛24541∙∹∝↹⩛110015⩢≌)⫰⋱(⫎≠⋺(↹⩛13131∕⩚↹⩛14520))=↹⩛151","reverse_text":"↹⩛151=((↹⩛11353⨭⪣↹⩛11140)⪇≇⋚(⊲⪭↹⩛13135)∕⩚(↹⩛15542⪘⫢↹⩛113042)≹⇙⪍(↹⩛22445∼↹⩛34520))⇮⋭(↹⩛24541∙∹∝↹⩛110015⩢≌)⫰⋱(⫎≠⋺(↹⩛13131∕⩚↹⩛14520))","cot":[{"info":"↹⩛11353⨭⪣↹⩛11140=↹⩛1422","layer":3},{"info":"⊲⪭↹⩛13135=↹⩛-14025","layer":3},{"info":"↹⩛1422⪇≇⋚↹⩛-14025=↹⩛0","layer":2},{"info":"↹⩛15542⪘⫢↹⩛113042=↹⩛35200","layer":3},{"info":"↹⩛22445∼↹⩛34520=NaN","layer":3},{"info":"↹⩛35200≹⇙⪍NaN=NaN","layer":2},{"info":"↹⩛0∕⩚NaN=↹⩛-2131","layer":1},{"info":"↹⩛24541∙∹∝↹⩛110015=↹⩛0","layer":3},{"info":"↹⩛0⩢≌=↹⩛305","layer":2},{"info":"↹⩛13131∕⩚↹⩛14520=↹⩛-13134","layer":3},{"info":"⫎≠⋺↹⩛-13134=↹⩛-3141","layer":2},{"info":"↹⩛305⫰⋱↹⩛-3141=↹⩛3023","layer":1},{"info":"↹⩛-2131⇮⋭↹⩛3023=↹⩛151","layer":0}]} +{"id":396,"expression_no_base_symbol":"(⩦⊞($9151$⋛$1045$)∺≝⩲$7370$≦↸$2032$)%(≅≯⇸$6410$)↳≱($3116$≒∊$1197$)⋛($1386$⊢$4365$∀⇚≩($3533$∑⇟⊟$1079$))","expression":"(⩦⊞(↹⩛110211⋛↹⩛4501)∺≝⩲↹⩛54042≦↸↹⩛13224)%(≅≯⇸↹⩛45402)↳≱(↹⩛22232≒∊↹⩛5313)⋛(↹⩛10230⊢↹⩛32113∀⇚≩(↹⩛24205∑⇟⊟↹⩛4555))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21584,"operation_count":12,"complexity_ratio":1798.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":9151,"base":6},"right_expr":{"type":"numeric_atoms","value":1045,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7370,"base":6},"right_expr":{"type":"numeric_atoms","value":2032,"base":6}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":6410,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3116,"base":6},"right_expr":{"type":"numeric_atoms","value":1197,"base":6}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1386,"base":6},"right_expr":{"type":"numeric_atoms","value":4365,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3533,"base":6},"right_expr":{"type":"numeric_atoms","value":1079,"base":6}}}}},"used_operators":["k8jYdgA6NY","u7fv1HBiaC","KPf6cnQVty","YbUVn0Rbpy","RygbFNSyEJ","JwTKLfZU96","apS25hmuAe","5KTvxBwnZo","LRNGc0VcxI","5twsqlHp2o","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","EBcxylXtPf","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9151","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=9151, right_input=1045, 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=-49833","layer":3},{"info":"number node, value=7370","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=7370, right_input=2032, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-18123","layer":3},{"info":"compute binary expreesion, left_input=-49833, right_input=-18123, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=264","layer":1},{"info":"number node, value=6410","layer":4},{"info":"compute unary expreesion, input=6410, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=33317","layer":3},{"info":"number node, value=3116","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=1197, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2632","layer":3},{"info":"compute binary expreesion, left_input=33317, right_input=-2632, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1386","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=4365, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3016","layer":3},{"info":"number node, value=3533","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=1079, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3016, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=264, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩦⊞(↹⩛110211⋛↹⩛4501)∺≝⩲↹⩛54042≦↸↹⩛13224)%(≅≯⇸↹⩛45402)↳≱(↹⩛22232≒∊↹⩛5313)⋛(↹⩛10230⊢↹⩛32113��⇚≩(↹⩛24205∑⇟⊟↹⩛4555))=NaN","reverse_text":"NaN=(⩦⊞(↹⩛110211⋛↹⩛4501)∺≝⩲↹⩛54042≦↸↹⩛13224)%(≅≯⇸↹⩛45402)↳≱(↹⩛22232≒∊↹⩛5313)⋛(↹⩛10230⊢↹⩛32113∀⇚≩(↹⩛24205∑⇟⊟↹⩛4555))","cot":[{"info":"↹⩛110211⋛↹⩛4501=↹⩛-1022413","layer":3},{"info":"↹⩛54042≦↸↹⩛13224=↹⩛-215523","layer":3},{"info":"↹⩛-1022413∺≝⩲↹⩛-215523=↹⩛424","layer":2},{"info":"⩦⊞↹⩛424=↹⩛1120","layer":1},{"info":"≅≯⇸↹⩛45402=↹⩛414125","layer":3},{"info":"↹⩛22232≒∊↹⩛5313=↹⩛-20104","layer":3},{"info":"↹⩛414125↳≱↹⩛-20104=↹⩛0","layer":2},{"info":"↹⩛10230⊢↹⩛32113=↹⩛-21544","layer":3},{"info":"↹⩛24205∑⇟⊟↹⩛4555=NaN","layer":3},{"info":"↹⩛-21544∀⇚≩NaN=NaN","layer":2},{"info":"↹⩛0⋛NaN=NaN","layer":1},{"info":"↹⩛1120%NaN=NaN","layer":0}]} +{"id":397,"expression_no_base_symbol":"(($7850$⇴∐$8642$)⨸($1531$⪓⨏)⊾⪯⋞($1256$∷$5012$)⨸($4234$⫸⊐$2028$))∀⇚≩(≦∁$2286$)⇡⇂($8499$⪛⫼$2336$)⪔⊥($3201$⇍⊗$3779$)↹⊜($1280$∑⇟⊟$1580$)","expression":"((↹⩛100202⇴∐↹⩛104002)⨸(↹⩛11031⪓⨏)⊾⪯⋞(↹⩛5452∷↹⩛35112)⨸(↹⩛31334⫸⊐↹⩛13220))∀⇚≩(≦∁↹⩛14330)⇡⇂(↹⩛103203⪛⫼↹⩛14452)⪔⊥(↹⩛22453⇍⊗↹⩛25255)↹⊜(↹⩛5532∑⇟⊟↹⩛11152)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":11749,"operation_count":15,"complexity_ratio":783.2666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":7850,"base":6},"right_expr":{"type":"numeric_atoms","value":8642,"base":6}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1531,"base":6}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1256,"base":6},"right_expr":{"type":"numeric_atoms","value":5012,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4234,"base":6},"right_expr":{"type":"numeric_atoms","value":2028,"base":6}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2286,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":8499,"base":6},"right_expr":{"type":"numeric_atoms","value":2336,"base":6}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3201,"base":6},"right_expr":{"type":"numeric_atoms","value":3779,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1280,"base":6},"right_expr":{"type":"numeric_atoms","value":1580,"base":6}}}}},"used_operators":["LRNGc0VcxI","HK0tfVPux8","KmoU8R5UQR","HnzytWxmAO","4X9JU4Jbn6","D3AQDKkPcf","mqXw5SEYmG","HJ9erzHUuu","UMwdvZNt44","9ICcGScMcE","hyuBjUqXlG","9bazX3JMtO","5uvYHDjeKN","U7g4x0WXJJ"],"dependent_operators":["X99M06cbEe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","9FxExcQeMw","NTOWxs364D","7j4O788W3g","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7850","layer":4},{"info":"number node, value=8642","layer":4},{"info":"compute binary expreesion, left_input=7850, right_input=8642, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃���a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=1256","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=5012, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5012","layer":3},{"info":"number node, value=4234","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=2028, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7987","layer":3},{"info":"compute binary expreesion, left_input=5012, right_input=7987, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10024","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10024, 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":1},{"info":"number node, value=2286","layer":4},{"info":"compute unary expreesion, input=2286, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2286","layer":3},{"info":"number node, value=8499","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=8499, right_input=2336, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=2286, right_input=968, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=3201","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=3779, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=1580, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":6,"result_base":6,"text":"((↹⩛100202⇴∐↹⩛104002)⨸(↹⩛11031⪓⨏)⊾⪯⋞(↹⩛5452∷↹⩛35112)⨸(↹⩛31334⫸⊐↹⩛13220))∀⇚≩(≦∁↹⩛14330)⇡⇂(↹⩛103203⪛⫼↹⩛14452)⪔⊥(↹⩛22453⇍⊗↹⩛25255)↹⊜(↹⩛5532∑⇟⊟↹⩛11152)=NaN","reverse_text":"NaN=((↹⩛100202⇴∐↹⩛104002)⨸(↹⩛11031⪓⨏)⊾⪯⋞(↹⩛5452∷↹⩛35112)⨸(↹⩛31334⫸⊐↹⩛13220))∀⇚≩(≦∁↹⩛14330)⇡⇂(↹⩛103203⪛⫼↹⩛14452)⪔⊥(↹⩛22453⇍⊗↹⩛25255)↹⊜(↹⩛5532∑⇟⊟↹⩛11152)","cot":[{"info":"↹⩛100202⇴∐↹⩛104002=NaN","layer":3},{"info":"↹⩛11031⪓⨏=NaN","layer":3},{"info":"NaN⨸NaN=NaN","layer":2},{"info":"↹⩛5452∷↹⩛35112=↹⩛35112","layer":3},{"info":"↹⩛31334⫸⊐↹⩛13220=↹⩛100551","layer":3},{"info":"↹⩛35112⨸↹⩛100551=↹⩛114224","layer":2},{"info":"NaN⊾⪯⋞↹⩛114224=NaN","layer":1},{"info":"≦∁↹⩛14330=↹⩛14330","layer":3},{"info":"↹⩛103203⪛⫼↹⩛14452=↹⩛4252","layer":3},{"info":"↹⩛14330⇡⇂↹⩛4252=NaN","layer":2},{"info":"↹⩛22453⇍⊗↹⩛25255=↹⩛-1044","layer":3},{"info":"↹⩛5532∑⇟⊟↹⩛11152=NaN","layer":3},{"info":"↹⩛-1044↹⊜NaN=NaN","layer":2},{"info":"NaN⪔⊥NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]} +{"id":398,"expression_no_base_symbol":"((↨$3417$⩖⊿$4177$)⪒(→⩰($2325$⋻⩜⩜$5106$)))⪠⩆⊳","expression":"((↨↹⩛23453⩖⊿↹⩛31201)⪒(→⩰(↹⩛14433⋻⩜⩜↹⩛35350)))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":76725,"operation_count":6,"complexity_ratio":12787.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3417,"base":6},"right_expr":{"type":"numeric_atoms","value":4177,"base":6}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2325,"base":6},"right_expr":{"type":"numeric_atoms","value":5106,"base":6}}}}},"used_operators":["JLbD19bQDL","f6k1SAg4EE","jiX4gk2v2Q","RZ5CV9rWsJ","o8Pngz0Tml","oDCm7WA9JY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","oZj3VtZNQx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3417","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=4177, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19666","layer":3},{"info":"compute unary expreesion, input=19666, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=2325","layer":4},{"info":"number node, value=5106","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=5106, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4650","layer":3},{"info":"compute unary expreesion, input=4650, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↨↹⩛23453⩖⊿↹⩛31201)⪒(→⩰(↹⩛14433⋻⩜⩜↹⩛35350)))⪠⩆⊳=NaN","reverse_text":"NaN=((↨↹⩛23453⩖⊿↹⩛31201)⪒(→⩰(↹⩛14433⋻⩜⩜↹⩛35350)))⪠⩆⊳","cot":[{"info":"↹⩛23453⩖⊿↹⩛31201=↹⩛231014","layer":3},{"info":"↨↹⩛231014=NaN","layer":2},{"info":"↹⩛14433⋻⩜⩜↹⩛35350=↹⩛33310","layer":3},{"info":"→⩰↹⩛33310=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]} +{"id":399,"expression_no_base_symbol":"(($1971$⨒$4855$)⨪↰⇹($5328$⫑)⩹$1836$⩦$4066$⊹∫⫚($1389$⇼⇔∾$5490$))⊉↱≁(($2971$↸$2198$)⊵↤)⨸(($4122$≣⋋)⇴∐$3115$⨥⫆$3460$)","expression":"((↹⩛13043⨒↹⩛34251)⨪↰⇹(↹⩛40400⫑)⩹↹⩛12300⩦↹⩛30454⊹∫⫚(↹⩛10233⇼⇔∾↹⩛41230))⊉↱≁((↹⩛21431↸↹⩛14102)⊵↤)⨸((↹⩛31030≣⋋)⇴∐↹⩛22231⨥⫆↹⩛24004)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":14677,"operation_count":14,"complexity_ratio":1048.357142857143,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1971,"base":6},"right_expr":{"type":"numeric_atoms","value":4855,"base":6}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":5328,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1836,"base":6},"right_expr":{"type":"numeric_atoms","value":4066,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1389,"base":6},"right_expr":{"type":"numeric_atoms","value":5490,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2971,"base":6},"right_expr":{"type":"numeric_atoms","value":2198,"base":6}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4122,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3115,"base":6},"right_expr":{"type":"numeric_atoms","value":3460,"base":6}}}}},"used_operators":["w2P8NbNXyL","2Wsdkap16l","tmPS8pqC7x","y75s1iXyHd","CgIo77xlM2","uWAJUKEvyW","0kmYd0q39Y","tifHPKVTfV","KmoU8R5UQR","7IPrd9c3lf","1eCjFl0mb9","HnzytWxmAO","Tcnh7f0tEr","yXekIHxTD4"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rJVOvQCfKK","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"↹⩛-31310","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1971","layer":4},{"info":"number node, value=4855","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=4855, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-11454","layer":3},{"info":"number node, value=5328","layer":4},{"info":"compute unary expreesion, input=5328, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=-11454, right_input=3979, 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=-11454","layer":2},{"info":"number node, value=1836","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=4066, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3672","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=5490","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=5490, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4101","layer":3},{"info":"compute binary expreesion, left_input=3672, right_input=4101, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-228","layer":2},{"info":"compute binary expreesion, left_input=-11454, right_input=-228, 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=-230","layer":1},{"info":"number node, value=2971","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=2198, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2971","layer":3},{"info":"compute unary expreesion, input=2971, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"number node, value=4122","layer":4},{"info":"compute unary expreesion, input=4122, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=3115","layer":4},{"info":"number node, value=3460","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=3460, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6796","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6796, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-116, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=134","layer":1},{"info":"compute binary expreesion, left_input=-230, right_input=134, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-4218","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13043⨒↹⩛34251)⨪↰⇹(↹⩛40400⫑)⩹↹⩛12300⩦↹⩛30454⊹∫⫚(↹⩛10233⇼⇔∾↹⩛41230))⊉↱≁((↹⩛21431↸↹⩛14102)⊵↤)⨸((↹⩛31030≣⋋)⇴∐↹⩛22231⨥⫆↹⩛24004)=↹⩛-31310","reverse_text":"↹⩛-31310=((��⩛13043⨒↹⩛34251)⨪↰⇹(↹⩛40400⫑)⩹↹⩛12300⩦↹⩛30454⊹∫⫚(↹⩛10233⇼⇔∾↹⩛41230))⊉↱≁((↹⩛21431↸↹⩛14102)⊵↤)⨸((↹⩛31030≣⋋)⇴∐↹⩛22231⨥⫆↹⩛24004)","cot":[{"info":"↹⩛13043⨒↹⩛34251=↹⩛-125010","layer":3},{"info":"↹⩛40400⫑=↹⩛30231","layer":3},{"info":"↹⩛-125010⨪↰⇹↹⩛30231=↹⩛-125010","layer":2},{"info":"↹⩛12300⩦↹⩛30454=↹⩛25000","layer":3},{"info":"↹⩛10233⇼⇔∾↹⩛41230=↹⩛30553","layer":3},{"info":"↹⩛25000⊹∫⫚↹⩛30553=↹⩛-1020","layer":2},{"info":"↹⩛-125010⩹↹⩛-1020=↹⩛-1022","layer":1},{"info":"↹⩛21431↸↹⩛14102=↹⩛21431","layer":3},{"info":"↹⩛21431⊵↤=↹⩛151","layer":2},{"info":"↹⩛31030≣⋋=↹⩛0","layer":3},{"info":"↹⩛22231⨥⫆↹⩛24004=↹⩛51244","layer":3},{"info":"↹⩛0⇴∐↹⩛51244=↹⩛-312","layer":2},{"info":"↹⩛151⨸↹⩛-312=↹⩛342","layer":1},{"info":"↹⩛-1022⊉↱≁↹⩛342=↹⩛-31310","layer":0}]} +{"id":400,"expression_no_base_symbol":"((⇺⋃(↪⫪⫘$8626$))⇞)↤⩊((⇙⪊($7403$↯⫤))⊬⨰($2485$⫯⪬∳$3041$⩹($1057$+$2358$)))","expression":"((⇺⋃(↪⫪⫘↹⩛103534))⇞)↤⩊((⇙⪊(↹⩛54135↯⫤))⊬⨰(↹⩛15301⫯⪬∳↹⩛22025⩹(↹⩛4521+↹⩛14530)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7709,"operation_count":10,"complexity_ratio":770.9,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":8626,"base":6}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":7403,"base":6}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2485,"base":6},"right_expr":{"type":"numeric_atoms","value":3041,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1057,"base":6},"right_expr":{"type":"numeric_atoms","value":2358,"base":6}}}}},"used_operators":["13rbtpv6ld","5JYyxRJd4f","E5v5B3UAjG","9dWsAM3GFt","s3Fd5m9Dh2","pB6Fcnrjim","VwlE7vj6HS","2Wsdkap16l","d7ASUq0ydm","W4YGzv6Whe"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8626","layer":4},{"info":"compute unary expreesion, input=8626, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=189","layer":2},{"info":"compute unary expreesion, input=189, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-276","layer":1},{"info":"number node, value=7403","layer":4},{"info":"compute unary expreesion, input=7403, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=2485","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=3041, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9417","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2358, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3415","layer":3},{"info":"compute binary expreesion, left_input=9417, right_input=3415, 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=3413","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3413, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13652","layer":1},{"info":"compute binary expreesion, left_input=-276, right_input=13652, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⇺⋃(↪⫪⫘↹⩛103534))⇞)↤⩊((⇙⪊(↹⩛54135↯⫤))⊬⨰(↹⩛15301⫯⪬∳↹⩛22025⩹(↹⩛4521+↹⩛14530)))=NaN","reverse_text":"NaN=((⇺⋃(↪⫪⫘↹⩛103534))⇞)↤⩊((⇙⪊(↹⩛54135↯⫤))⊬⨰(↹⩛15301⫯⪬∳↹⩛22025⩹(↹⩛4521+↹⩛14530)))","cot":[{"info":"↪⫪⫘↹⩛103534=↹⩛32","layer":3},{"info":"⇺⋃↹⩛32=↹⩛513","layer":2},{"info":"↹⩛513⇞=↹⩛-1140","layer":1},{"info":"↹⩛54135↯⫤=↹⩛0","layer":3},{"info":"⇙⪊↹⩛0=↹⩛0","layer":2},{"info":"↹⩛15301⫯⪬∳↹⩛22025=↹⩛111333","layer":3},{"info":"↹⩛4521+↹⩛14530=↹⩛23451","layer":3},{"info":"↹⩛111333⩹↹⩛23451=↹⩛23445","layer":2},{"info":"↹⩛0⊬⨰↹⩛23445=↹⩛143112","layer":1},{"info":"↹⩛-1140↤⩊↹⩛143112=NaN","layer":0}]} +{"id":401,"expression_no_base_symbol":"($2952$∌↝$1297$⨫⇇↔($1092$≄⊠$4956$)⫌⩉⩟$1370$⪨⊡$2025$∷($8329$⪨≂$5706$))∙∹∝(⊖∈$2507$∣$2707$)⨸(($4028$⪇≇⋚$4234$)⨥⫆($1400$⨐⩸⫘$2558$))","expression":"(↹⩛21400∌↝↹⩛10001⨫⇇↔(↹⩛5020≄⊠↹⩛34540)⫌⩉⩟↹⩛10202⪨⊡↹⩛13213∷(↹⩛102321⪨≂↹⩛42230))∙∹∝(⊖∈↹⩛15335∣↹⩛20311)⨸((↹⩛30352⪇≇⋚↹⩛31334)⨥⫆(↹⩛10252⨐⩸⫘↹⩛15502))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":73873,"operation_count":14,"complexity_ratio":5276.642857142857,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2952,"base":6},"right_expr":{"type":"numeric_atoms","value":1297,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1092,"base":6},"right_expr":{"type":"numeric_atoms","value":4956,"base":6}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1370,"base":6},"right_expr":{"type":"numeric_atoms","value":2025,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8329,"base":6},"right_expr":{"type":"numeric_atoms","value":5706,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2507,"base":6},"right_expr":{"type":"numeric_atoms","value":2707,"base":6}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4028,"base":6},"right_expr":{"type":"numeric_atoms","value":4234,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1400,"base":6},"right_expr":{"type":"numeric_atoms","value":2558,"base":6}}}}},"used_operators":["HmxsFra2vL","XIIwhv8d0m","LXhwmt4mBO","9Isq31Ruls","vXNesLlMH1","D3AQDKkPcf","kuIXHzHcAH","sdazOOVcIp","KmoU8R5UQR","YFxL8Sc2Zy","PPChnnnBFF","yXekIHxTD4","3sJ7IOPOlU","fu6greOZ01"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","3ViojmjbAp"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=1297, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=4956","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=4956, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=83964","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=83964, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1370","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2025, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=8329","layer":4},{"info":"number node, value=5706","layer":4},{"info":"compute binary expreesion, left_input=8329, right_input=5706, 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=5348","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5348, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5348","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=5348, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=2507","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=2707, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2507","layer":3},{"info":"compute unary expreesion, input=2507, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=44546","layer":2},{"info":"number node, value=4028","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=4234, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1400","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=2558, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=44546, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=89092","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=89092, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21400∌↝↹⩛10001⨫⇇↔(↹⩛5020≄⊠↹⩛34540)⫌⩉⩟↹⩛10202⪨⊡↹⩛13213∷(↹⩛102321⪨≂↹⩛42230))∙∹∝(⊖∈↹⩛15335∣↹⩛20311)⨸((↹⩛30352⪇≇⋚↹⩛31334)⨥⫆(↹⩛10252⨐⩸⫘↹⩛15502))=↹⩛0","reverse_text":"↹⩛0=(↹⩛21400∌↝↹⩛10001⨫⇇↔(↹⩛5020≄⊠↹⩛34540)⫌⩉⩟↹⩛10202⪨⊡↹⩛13213∷(↹⩛102321⪨≂↹⩛42230))∙∹∝(⊖∈↹⩛15335∣↹⩛20311)⨸((↹⩛30352⪇≇⋚↹⩛31334)⨥⫆(↹⩛10252⨐⩸⫘↹⩛15502))","cot":[{"info":"↹⩛21400∌↝↹⩛10001=↹⩛0","layer":3},{"info":"↹⩛5020≄⊠↹⩛34540=↹⩛1444420","layer":3},{"info":"↹⩛0⨫⇇↔↹⩛1444420=↹⩛-2235","layer":2},{"info":"↹⩛10202⪨⊡↹⩛13213=↹⩛0","layer":3},{"info":"↹⩛102321⪨≂↹⩛42230=↹⩛40432","layer":3},{"info":"↹⩛0∷↹⩛40432=↹⩛40432","layer":2},{"info":"↹⩛-2235⫌⩉⩟↹⩛40432=↹⩛-122","layer":1},{"info":"↹⩛15335∣↹⩛20311=↹⩛15335","layer":3},{"info":"⊖∈↹⩛15335=↹⩛542122","layer":2},{"info":"↹⩛30352⪇≇⋚↹⩛31334=↹⩛0","layer":3},{"info":"↹⩛10252⨐⩸⫘↹⩛15502=NaN","layer":3},{"info":"↹⩛0⨥⫆NaN=NaN","layer":2},{"info":"↹⩛542122⨸NaN=↹⩛1524244","layer":1},{"info":"↹⩛-122∙∹∝↹⩛1524244=↹⩛0","layer":0}]} +{"id":402,"expression_no_base_symbol":"(⇤←($1149$∲⫓$4051$)⩦($1731$⪄$2507$))⪮%⊝(($1274$↛⩡⫤)⪉⨛$3524$⋥⋵⩄$7064$)≁(($4000$⨑≵⋬$3096$)⫸⇳(∷≠$4333$))","expression":"(⇤←(↹⩛5153∲⫓↹⩛30431)⩦(↹⩛12003⪄↹⩛15335))⪮%⊝((↹⩛5522↛⩡⫤)⪉⨛↹⩛24152⋥⋵⩄↹⩛52412)≁((↹⩛30304⨑≵⋬↹⩛22200)⫸⇳(∷≠↹⩛32021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4263,"operation_count":12,"complexity_ratio":355.25,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1149,"base":6},"right_expr":{"type":"numeric_atoms","value":4051,"base":6}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1731,"base":6},"right_expr":{"type":"numeric_atoms","value":2507,"base":6}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1274,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3524,"base":6},"right_expr":{"type":"numeric_atoms","value":7064,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4000,"base":6},"right_expr":{"type":"numeric_atoms","value":3096,"base":6}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4333,"base":6}}}}},"used_operators":["IWmyXbctLI","jfAgQ2OQeM","0kmYd0q39Y","i8ToyICDmI","SUmda5xLS4","8N2wDY1A35","EWw2JM7wp4","FU0Cs4j7VP","7t3wd0Fuz7","gx7XJ7hdpj","XnXgA4xnOs","QiR2Oyf5Xj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","7j4O788W3g"],"result":"↹⩛22040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=4051, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=2507, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-262305","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-262305, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":1},{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-188463","layer":3},{"info":"number node, value=3524","layer":4},{"info":"number node, value=7064","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=7064, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-188463, right_input=113, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-565513","layer":2},{"info":"number node, value=4000","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=3096, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-293","layer":3},{"info":"number node, value=4333","layer":4},{"info":"compute unary expreesion, input=4333, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4333","layer":3},{"info":"compute binary expreesion, left_input=-293, right_input=4333, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-565513, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":1},{"info":"compute binary expreesion, left_input=1366, right_input=-8941, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3048","layer":0}],"base":6,"result_base":6,"text":"(⇤←(↹⩛5153∲⫓↹⩛30431)⩦(↹⩛12003⪄↹⩛15335))⪮%⊝((↹⩛5522↛⩡⫤)⪉⨛↹⩛24152⋥⋵⩄↹⩛52412)≁((↹⩛30304⨑≵⋬↹⩛22200)⫸⇳(∷≠↹⩛32021))=↹⩛22040","reverse_text":"↹⩛22040=(⇤←(↹⩛5153∲⫓↹⩛30431)⩦(↹⩛12003⪄↹⩛15335))⪮%⊝((↹⩛5522↛⩡⫤)⪉⨛↹⩛24152⋥⋵⩄↹⩛52412)≁((↹⩛30304⨑≵⋬↹⩛22200)⫸⇳(∷≠↹⩛32021))","cot":[{"info":"↹⩛5153∲⫓↹⩛30431=↹⩛0","layer":3},{"info":"↹⩛12003⪄↹⩛15335=↹⩛-5342213","layer":3},{"info":"↹⩛0⩦↹⩛-5342213=↹⩛0","layer":2},{"info":"⇤←↹⩛0=↹⩛10154","layer":1},{"info":"↹⩛5522↛⩡⫤=↹⩛-4012303","layer":3},{"info":"↹⩛24152⋥⋵⩄↹⩛52412=↹⩛305","layer":3},{"info":"↹⩛-4012303⪉⨛↹⩛305=↹⩛-20042041","layer":2},{"info":"↹⩛30304⨑≵⋬↹⩛22200=↹⩛-1205","layer":3},{"info":"∷≠↹⩛32021=↹⩛32021","layer":3},{"info":"↹⩛-1205⫸⇳↹⩛32021=↹⩛0","layer":2},{"info":"↹⩛-20042041≁↹⩛0=↹⩛-105221","layer":1},{"info":"↹⩛10154⪮%⊝↹⩛-105221=↹⩛22040","layer":0}]} +{"id":403,"expression_no_base_symbol":"($1445$⇤$1996$)⫁($2205$/$2554$)⩘(($1524$↡⊰⫅$4349$)⪡($2327$∠↢$7955$))⋅⇍($3195$⨎$1436$)⇂≾⫗($5656$⨽$1987$)+⇶⊼((⩷⨜⫀$5080$)≃(⨡↴$4912$))","expression":"(↹⩛10405⇤↹⩛13124)⫁(↹⩛14113/↹⩛15454)⩘((↹⩛11020↡⊰⫅↹⩛32045)⪡(↹⩛14435∠↢↹⩛100455))⋅⇍(↹⩛22443⨎↹⩛10352)⇂≾⫗(↹⩛42104⨽↹⩛13111)+⇶⊼((⩷⨜⫀↹⩛35304)≃(⨡↴↹⩛34424))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":66893,"operation_count":15,"complexity_ratio":4459.533333333334,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1445,"base":6},"right_expr":{"type":"numeric_atoms","value":1996,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2205,"base":6},"right_expr":{"type":"numeric_atoms","value":2554,"base":6}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1524,"base":6},"right_expr":{"type":"numeric_atoms","value":4349,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2327,"base":6},"right_expr":{"type":"numeric_atoms","value":7955,"base":6}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3195,"base":6},"right_expr":{"type":"numeric_atoms","value":1436,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5656,"base":6},"right_expr":{"type":"numeric_atoms","value":1987,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5080,"base":6}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4912,"base":6}}}}},"used_operators":["AdZkA7nFnk","cHh1gJQ2o6","0ajvFaJAv0","YSKBFp38Pu","XhwjNDsVaA","oraRL2iQuh","VCtxkLNOzz","KbjG8mgYpV","TpPTUOHfaN","aBQ6xLxuTc","rJVOvQCfKK","8HhzD0ZcuI","YbVcJGFEVW","CDi0ktkjQ4","liw5iZPkLH"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","AHs5Up7iyr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","P8v4zCKN1o"],"result":"↹⩛-3221","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1996, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-14357","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=2554, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-14357, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=4349","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=4349, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8698","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=7955","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=7955, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-119596","layer":3},{"info":"compute binary expreesion, left_input=8698, right_input=-119596, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-119491","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-119491, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=3195","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=1436, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1436","layer":3},{"info":"number node, value=5656","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=5656, right_input=1987, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-95975655","layer":3},{"info":"compute binary expreesion, left_input=1436, right_input=-95975655, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"number node, value=5080","layer":4},{"info":"compute unary expreesion, input=5080, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-4807","layer":3},{"info":"number node, value=4912","layer":4},{"info":"compute unary expreesion, input=4912, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5961","layer":3},{"info":"compute binary expreesion, left_input=-4807, right_input=5961, 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=9594","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=9594, 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=160, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-733","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10405⇤↹⩛13124)⫁(↹⩛14113/↹⩛15454)⩘((↹⩛11020↡⊰⫅↹⩛32045)⪡(↹⩛14435∠↢↹⩛100455))⋅⇍(↹⩛22443⨎↹⩛10352)⇂≾⫗(↹⩛42104⨽↹⩛13111)+⇶⊼((⩷⨜⫀↹⩛35304)≃(⨡↴↹⩛34424))=↹⩛-3221","reverse_text":"↹⩛-3221=(↹⩛10405⇤↹⩛13124)⫁(↹⩛14113/↹⩛15454)⩘((↹⩛11020↡⊰⫅↹⩛32045)⪡(↹⩛14435∠↢↹⩛100455))⋅⇍(↹⩛22443⨎↹⩛10352)⇂≾⫗(↹⩛42104⨽↹⩛13111)+⇶⊼((⩷⨜⫀↹⩛35304)≃(⨡↴↹⩛34424))","cot":[{"info":"↹⩛10405⇤↹⩛13124=↹⩛-150245","layer":3},{"info":"↹⩛14113/↹⩛15454=↹⩛0","layer":3},{"info":"↹⩛-150245⫁↹⩛0=↹⩛424","layer":2},{"info":"↹⩛11020↡⊰⫅↹⩛32045=↹⩛104134","layer":3},{"info":"↹⩛14435∠↢↹⩛100455=↹⩛-2321404","layer":3},{"info":"↹⩛104134⪡↹⩛-2321404=↹⩛-2321111","layer":2},{"info":"↹⩛424⩘↹⩛-2321111=↹⩛424","layer":1},{"info":"↹⩛22443⨎↹⩛10352=↹⩛10352","layer":3},{"info":"↹⩛42104⨽↹⩛13111=↹⩛-13305031423","layer":3},{"info":"↹⩛10352⇂≾⫗↹⩛-13305031423=↹⩛-3034","layer":2},{"info":"⩷⨜⫀↹⩛35304=↹⩛-34131","layer":3},{"info":"⨡↴↹⩛34424=↹⩛43333","layer":3},{"info":"↹⩛-34131≃↹⩛43333=↹⩛112230","layer":2},{"info":"↹⩛-3034+⇶⊼↹⩛112230=NaN","layer":1},{"info":"↹⩛424⋅⇍NaN=↹⩛-3221","layer":0}]} +{"id":404,"expression_no_base_symbol":"(∂($2323$⪷)≠≀($2385$≀⩗∶$3852$))⫒⫫(((⪲⇎$3241$)⩢≌)≝⊰⇂)","expression":"(∂(↹⩛14431⪷)≠≀(↹⩛15013≀⩗∶↹⩛25500))⫒⫫(((⪲⇎↹⩛23001)⩢≌)≝⊰⇂)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2611,"operation_count":8,"complexity_ratio":326.375,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2323,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2385,"base":6},"right_expr":{"type":"numeric_atoms","value":3852,"base":6}}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3241,"base":6}}}}},"used_operators":["6Ko8hGgeMq","Uaa54Peajs","IwW236VD4Y","Qctrpi3WzA","8INZBEW696","htSmYCowi5","D617RFjZIq","XPYlsWDdGa"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Nsiff2A1zJ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","DlLNRPXxWL","hTbEZDJLEm","o20kRiQErp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=2385","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=3852, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=3241","layer":4},{"info":"compute unary expreesion, input=3241, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6482","layer":3},{"info":"compute unary expreesion, input=6482, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=92","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=92, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∂(↹⩛14431⪷)≠≀(↹⩛15013≀⩗∶↹⩛25500))⫒⫫(((⪲⇎↹⩛23001)⩢≌)≝⊰⇂)=NaN","reverse_text":"NaN=(∂(↹⩛14431⪷)≠≀(↹⩛15013≀⩗∶↹⩛25500))⫒⫫(((⪲⇎↹⩛23001)⩢≌)≝⊰⇂)","cot":[{"info":"↹⩛14431⪷=NaN","layer":3},{"info":"↹⩛15013≀⩗∶↹⩛25500=↹⩛-3","layer":3},{"info":"NaN≠≀↹⩛-3=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⪲⇎↹⩛23001=↹⩛50002","layer":3},{"info":"↹⩛50002⩢≌=↹⩛305","layer":2},{"info":"↹⩛305≝⊰⇂=↹⩛232","layer":1},{"info":"NaN⫒⫫↹⩛232=NaN","layer":0}]} +{"id":405,"expression_no_base_symbol":"(($4800$⨜⨶$8980$⫠↝⫳)⊋(($1104$⇉⇱⇎)⊀⩕))⨚((≘$4383$)⩌⋺($6066$⪕$3545$)⨵⪆$6527$⇤$3026$⇴(∮$7295$))","expression":"((↹⩛34120⨜⨶↹⩛105324⫠↝⫳)⊋((↹⩛5040⇉⇱⇎)⊀⩕))⨚((≘↹⩛32143)⩌⋺(↹⩛44030⪕↹⩛24225)⨵⪆↹⩛50115⇤↹⩛22002⇴(∮↹⩛53435))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1981,"operation_count":13,"complexity_ratio":152.3846153846154,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4800,"base":6},"right_expr":{"type":"numeric_atoms","value":8980,"base":6}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1104,"base":6}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4383,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6066,"base":6},"right_expr":{"type":"numeric_atoms","value":3545,"base":6}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6527,"base":6},"right_expr":{"type":"numeric_atoms","value":3026,"base":6}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":7295,"base":6}}}}},"used_operators":["nREPSIbpBE","W4tP9CfskL","8n5YIzOsVS","HiPekx5b7W","r0FS3hW4cC","MRPaB8lBjK","2DQ55sFlQl","g7Hmc5v1ko","tcjXMdvYtA","umQnsF7QlU","4JB6nKBMSY","YSKBFp38Pu","CqXKPLVYql"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","nhYeJWJD5X","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛-121050","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4800","layer":4},{"info":"number node, value=8980","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=8980, 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=-17704","layer":3},{"info":"compute unary expreesion, input=-17704, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-565905","layer":2},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-886","layer":3},{"info":"compute unary expreesion, input=-886, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-565905, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":1},{"info":"number node, value=4383","layer":4},{"info":"compute unary expreesion, input=4383, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9665299","layer":3},{"info":"number node, value=6066","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=6066, right_input=3545, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9488","layer":3},{"info":"compute binary expreesion, left_input=9665299, right_input=9488, 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=-9674908","layer":2},{"info":"number node, value=6527","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=6527, right_input=3026, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-44917","layer":3},{"info":"number node, value=7295","layer":4},{"info":"compute unary expreesion, input=7295, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-44917, right_input=67, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-269754","layer":2},{"info":"compute binary expreesion, left_input=-9674908, right_input=-269754, 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=-5454, right_input=160, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10614","layer":0}],"base":6,"result_base":6,"text":"((↹⩛34120⨜⨶↹⩛105324⫠↝⫳)⊋((↹⩛5040⇉⇱⇎)⊀⩕))⨚((≘↹⩛32143)⩌⋺(↹⩛44030⪕↹⩛24225)⨵⪆↹⩛50115⇤↹⩛22002⇴(∮↹⩛53435))=↹⩛-121050","reverse_text":"↹⩛-121050=((↹⩛34120⨜⨶↹⩛105324⫠↝⫳)⊋((↹⩛5040⇉⇱⇎)⊀⩕))⨚((≘↹⩛32143)⩌⋺(↹⩛44030⪕↹⩛24225)⨵⪆↹⩛50115⇤↹⩛22002⇴(∮↹⩛53435))","cot":[{"info":"↹⩛34120⨜⨶↹⩛105324=↹⩛-213544","layer":3},{"info":"↹⩛-213544⫠↝⫳=↹⩛-20043533","layer":2},{"info":"↹⩛5040⇉⇱⇎=↹⩛-4034","layer":3},{"info":"↹⩛-4034⊀⩕=↹⩛0","layer":2},{"info":"↹⩛-20043533⊋↹⩛0=↹⩛-41130","layer":1},{"info":"≘↹⩛32143=↹⩛543054431","layer":3},{"info":"↹⩛44030⪕↹⩛24225=↹⩛111532","layer":3},{"info":"↹⩛543054431⩌⋺↹⩛111532=↹⩛-543211124","layer":2},{"info":"↹⩛50115⇤↹⩛22002=↹⩛-543541","layer":3},{"info":"∮↹⩛53435=↹⩛151","layer":3},{"info":"↹⩛-543541⇴↹⩛151=↹⩛-5440510","layer":2},{"info":"↹⩛-543211124⨵⪆↹⩛-5440510=↹⩛424","layer":1},{"info":"↹⩛-41130⨚↹⩛424=↹⩛-121050","layer":0}]} +{"id":406,"expression_no_base_symbol":"(≛((≔$4455$)⫦⪉($2775$⪘⨀)))∖(($8743$∸)≬⇓$3382$⨸$2353$)∇⊂⋱(($5708$↬$6106$)⪣⫩)","expression":"(≛((≔↹⩛32343)⫦⪉(↹⩛20503⪘⨀)))∖((↹⩛104251∸)≬⇓↹⩛23354⨸↹⩛14521)∇⊂⋱((↹⩛42232↬↹⩛44134)⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3977,"operation_count":11,"complexity_ratio":361.54545454545456,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":4455,"base":6}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":2775,"base":6}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8743,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3382,"base":6},"right_expr":{"type":"numeric_atoms","value":2353,"base":6}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5708,"base":6},"right_expr":{"type":"numeric_atoms","value":6106,"base":6}}}}},"used_operators":["tXD093vOjl","W7eaUhjymW","wscyQdcy20","8FLs4eVsLt","aA7tF3KVD3","nhYeJWJD5X","jWTQ2TZYIH","o20kRiQErp","KmoU8R5UQR","iuk5sVOGFA","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","tmPS8pqC7x","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4455","layer":4},{"info":"compute unary expreesion, input=4455, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-123446","layer":3},{"info":"number node, value=2775","layer":4},{"info":"compute unary expreesion, input=2775, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-6131","layer":3},{"info":"compute binary expreesion, left_input=-123446, right_input=-6131, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=250730","layer":2},{"info":"compute unary expreesion, input=250730, 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":"number node, value=8743","layer":4},{"info":"compute unary expreesion, input=8743, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3382","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=2353, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6764","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=6764, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=5708","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=5708, right_input=6106, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=913, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-1826","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=-1826, 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":6,"result_base":6,"text":"(≛((≔↹⩛32343)⫦⪉(↹⩛20503⪘⨀)))∖((↹⩛104251∸)≬⇓↹⩛23354⨸↹⩛14521)∇⊂⋱((↹⩛42232↬↹⩛44134)⪣⫩)=↹⩛0","reverse_text":"↹⩛0=(≛((≔↹⩛32343)⫦⪉(↹⩛20503⪘⨀)))∖((↹⩛104251∸)≬⇓↹⩛23354⨸↹⩛14521)∇⊂⋱((↹⩛42232↬↹⩛44134)⪣⫩)","cot":[{"info":"≔↹⩛32343=↹⩛-2351302","layer":3},{"info":"↹⩛20503⪘⨀=↹⩛-44215","layer":3},{"info":"↹⩛-2351302⫦⪉↹⩛-44215=↹⩛5212442","layer":2},{"info":"≛↹⩛5212442=↹⩛-14","layer":1},{"info":"↹⩛104251∸=↹⩛453","layer":3},{"info":"↹⩛23354⨸↹⩛14521=↹⩛51152","layer":3},{"info":"↹⩛453≬⇓↹⩛51152=↹⩛-34","layer":2},{"info":"↹⩛42232↬↹⩛44134=NaN","layer":3},{"info":"NaN⪣⫩=↹⩛4121","layer":2},{"info":"↹⩛-34∇⊂⋱↹⩛4121=↹⩛-12242","layer":1},{"info":"↹⩛-14∖↹⩛-12242=↹⩛0","layer":0}]} +{"id":407,"expression_no_base_symbol":"(($2658$⪬$1951$⊾⪯⋞(⪸$2254$))⫲≸⪮((⇺⋃$3179$)≓∲$1131$⊬⨰$5892$))≨(⊢≑≆($1620$⫚↹⊑$5595$))⫘($2621$≄⊠$2947$⋾⨃∁(⩷⨜⫀$5318$))","expression":"((↹⩛20150⪬↹⩛13011⊾⪯⋞(⪸↹⩛14234))⫲≸⪮((⇺⋃↹⩛22415)≓∲↹⩛5123⊬⨰↹⩛43140))≨(⊢≑≆(↹⩛11300⫚↹⊑↹⩛41523))⫘(↹⩛20045≄⊠↹⩛21351⋾⨃∁(⩷⨜⫀↹⩛40342))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13693,"operation_count":14,"complexity_ratio":978.0714285714286,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2658,"base":6},"right_expr":{"type":"numeric_atoms","value":1951,"base":6}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2254,"base":6}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3179,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1131,"base":6},"right_expr":{"type":"numeric_atoms","value":5892,"base":6}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1620,"base":6},"right_expr":{"type":"numeric_atoms","value":5595,"base":6}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2621,"base":6},"right_expr":{"type":"numeric_atoms","value":2947,"base":6}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5318,"base":6}}}}},"used_operators":["0KMCeP1Jsh","P3lXMJvFrc","HK0tfVPux8","Ez1Nq5fNfI","86A5ENbKR9","s1XTVnmDOJ","E5v5B3UAjG","s3Fd5m9Dh2","48vC8HMD2b","27wFxooxGf","dfKe02y8D2","212REbPD9h","vXNesLlMH1","CDi0ktkjQ4"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X"],"result":"↹⩛14344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2658","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=1951, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=2254","layer":4},{"info":"compute unary expreesion, input=2254, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-38109","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-38109, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=3179","layer":4},{"info":"compute unary expreesion, input=3179, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1131","layer":4},{"info":"number node, value=5892","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=5892, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=23643","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23643, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-820","layer":1},{"info":"number node, value=1620","layer":4},{"info":"number node, value=5595","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=5595, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=1087","layer":2},{"info":"number node, value=2621","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=2947, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=51820","layer":3},{"info":"number node, value=5318","layer":4},{"info":"compute unary expreesion, input=5318, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-5045","layer":3},{"info":"compute binary expreesion, left_input=51820, right_input=-5045, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=254580696","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=254580696, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1282717","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=1282717, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2296","layer":0}],"base":6,"result_base":6,"text":"((↹⩛20150⪬↹⩛13011⊾⪯⋞(⪸↹⩛14234))⫲≸⪮((⇺⋃↹⩛22415)≓∲↹⩛5123⊬⨰↹⩛43140))≨(⊢≑≆(↹⩛11300⫚↹⊑↹⩛41523))⫘(↹⩛20045≄⊠↹⩛21351⋾⨃∁(⩷⨜⫀↹⩛40342))=↹⩛14344","reverse_text":"↹⩛14344=((↹⩛20150⪬↹⩛13011⊾⪯⋞(⪸↹⩛14234))⫲≸⪮((⇺⋃↹⩛22415)≓∲↹⩛5123⊬⨰↹⩛43140))≨(⊢≑≆(↹⩛11300⫚↹⊑↹⩛41523))⫘(↹⩛20045≄⊠↹⩛21351⋾⨃∁(⩷⨜⫀↹⩛40342))","cot":[{"info":"↹⩛20150⪬↹⩛13011=↹⩛5414","layer":3},{"info":"⪸↹⩛14234=↹⩛-452233","layer":3},{"info":"↹⩛5414⊾⪯⋞↹⩛-452233=↹⩛-3444","layer":2},{"info":"⇺⋃↹⩛22415=NaN","layer":3},{"info":"↹⩛5123⊬⨰↹⩛43140=↹⩛301243","layer":3},{"info":"NaN≓∲↹⩛301243=NaN","layer":2},{"info":"↹⩛-3444⫲≸⪮NaN=↹⩛-3444","layer":1},{"info":"↹⩛11300⫚↹⊑↹⩛41523=↹⩛-2023","layer":3},{"info":"⊢≑≆↹⩛-2023=↹⩛5011","layer":2},{"info":"↹⩛20045≄⊠↹⩛21351=↹⩛1035524","layer":3},{"info":"⩷⨜⫀↹⩛40342=↹⩛-35205","layer":3},{"info":"↹⩛1035524⋾⨃∁↹⩛-35205=↹⩛41132314200","layer":2},{"info":"↹⩛5011⫘↹⩛41132314200=↹⩛43254301","layer":1},{"info":"↹⩛-3444≨↹⩛43254301=↹⩛14344","layer":0}]} +{"id":408,"expression_no_base_symbol":"((↣≠⋷(⊬↢$2439$))∝($1436$⇍⊗$1808$)⫘($2656$⇼⇔∾$5937$))⨥⫆(($1213$≬⋮$1054$⊭↱$2175$⊴$8757$)⨒(⫡⇟⇯(↥≼⋛$1976$)))","expression":"((↣≠⋷(⊬↢↹⩛15143))∝(↹⩛10352⇍⊗↹⩛12212)⫘(↹⩛20144⇼⇔∾↹⩛43253))⨥⫆((↹⩛5341≬⋮↹⩛4514⊭↱↹⩛14023⊴↹⩛104313)⨒(⫡⇟⇯(↥≼⋛↹⩛13052)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59352,"operation_count":13,"complexity_ratio":4565.538461538462,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2439,"base":6}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1436,"base":6},"right_expr":{"type":"numeric_atoms","value":1808,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2656,"base":6},"right_expr":{"type":"numeric_atoms","value":5937,"base":6}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1213,"base":6},"right_expr":{"type":"numeric_atoms","value":1054,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2175,"base":6},"right_expr":{"type":"numeric_atoms","value":8757,"base":6}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1976,"base":6}}}}},"used_operators":["yXekIHxTD4","cTDWOvIxvz","Asc51vEJeQ","WPoGxAaPR1","48vC8HMD2b","5uvYHDjeKN","tifHPKVTfV","y75s1iXyHd","COABgblf1C","kbkesczE7y","Nsiff2A1zJ","qWUSsah53b","x5lMkHmzsq"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","7j4O788W3g","W4YGzv6Whe","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2439","layer":4},{"info":"compute unary expreesion, input=2439, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1436","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1808, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2656","layer":4},{"info":"number node, value=5937","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=5937, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3281","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=3281, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1065779","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1065779, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1054, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2175","layer":4},{"info":"number node, value=8757","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=8757, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1976","layer":4},{"info":"compute unary expreesion, input=1976, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=981","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=981, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘���a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↣≠⋷(⊬↢↹⩛15143))∝(↹⩛10352⇍⊗↹⩛12212)⫘(↹⩛20144⇼⇔∾↹⩛43253))⨥⫆((↹⩛5341≬⋮↹⩛4514⊭↱↹⩛14023⊴↹⩛104313)⨒(⫡⇟⇯(↥≼⋛↹⩛13052)))=NaN","reverse_text":"NaN=((↣≠⋷(⊬↢↹⩛15143))∝(↹⩛10352⇍⊗↹⩛12212)⫘(↹⩛20144⇼⇔∾↹⩛43253))⨥⫆((↹⩛5341≬⋮↹⩛4514⊭↱↹⩛14023⊴↹⩛104313)⨒(⫡⇟⇯(↥≼⋛↹⩛13052)))","cot":[{"info":"⊬↢↹⩛15143=↹⩛1002","layer":3},{"info":"↣≠⋷↹⩛1002=NaN","layer":2},{"info":"↹⩛10352⇍⊗↹⩛12212=↹⩛-1044","layer":3},{"info":"↹⩛20144⇼⇔∾↹⩛43253=↹⩛23105","layer":3},{"info":"↹⩛-1044⫘↹⩛23105=↹⩛34502055","layer":2},{"info":"NaN∝↹⩛34502055=NaN","layer":1},{"info":"↹⩛5341≬⋮↹⩛4514=↹⩛4004","layer":3},{"info":"↹⩛14023⊴↹⩛104313=NaN","layer":3},{"info":"↹⩛4004⊭↱NaN=NaN","layer":2},{"info":"↥≼⋛↹⩛13052=↹⩛-305","layer":3},{"info":"⫡⇟⇯↹⩛-305=↹⩛4313","layer":2},{"info":"NaN⨒↹⩛4313=NaN","layer":1},{"info":"NaN⨥⫆NaN=NaN","layer":0}]} +{"id":409,"expression_no_base_symbol":"↸⊣($1577$⪟⇏$4954$⨑⩅≇(⫵↿$1532$)/(⇠$1834$)≁↽≥($1077$⋾⨃∁$1001$))","expression":"↸⊣(↹⩛11145⪟⇏↹⩛34534⨑⩅≇(⫵↿↹⩛11032)/(⇠↹⩛12254)≁↽≥(↹⩛4553⋾⨃∁↹⩛4345))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1310,"operation_count":8,"complexity_ratio":163.75,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1577,"base":6},"right_expr":{"type":"numeric_atoms","value":4954,"base":6}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1532,"base":6}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1834,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1077,"base":6},"right_expr":{"type":"numeric_atoms","value":1001,"base":6}}}}},"used_operators":["wztAlM01eG","XhwjNDsVaA","h92wMvzauj","GODebY97qR","ivGwdmUAux","ncHt1X6cMc","18saOjeKKm","212REbPD9h"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","oWn0xqSxBt","3Oe9XWJUTD","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"↹⩛2","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1577","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=4954, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=137, 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=3","layer":2},{"info":"number node, value=1834","layer":4},{"info":"compute unary expreesion, input=1834, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1592","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=1001, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10007904","layer":3},{"info":"compute binary expreesion, left_input=-1592, right_input=10007904, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-13948","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-13948, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=2","layer":0}],"base":6,"result_base":6,"text":"↸⊣(↹⩛11145⪟⇏↹⩛34534⨑⩅≇(⫵↿↹⩛11032)/(⇠↹⩛12254)≁↽≥(↹⩛4553⋾⨃∁↹⩛4345))=↹⩛2","reverse_text":"↹⩛2=↸⊣(↹⩛11145⪟⇏↹⩛34534⨑⩅≇(⫵↿↹⩛11032)/(⇠↹⩛12254)≁↽≥(↹⩛4553⋾⨃∁↹⩛4345))","cot":[{"info":"↹⩛11145⪟⇏↹⩛34534=↹⩛-1","layer":3},{"info":"⫵↿↹⩛11032=↹⩛345","layer":3},{"info":"↹⩛-1⨑⩅≇↹⩛345=↹⩛3","layer":2},{"info":"⇠↹⩛12254=↹⩛-11212","layer":3},{"info":"↹⩛4553⋾⨃∁↹⩛4345=↹⩛554300520","layer":3},{"info":"↹⩛-11212≁↽≥↹⩛554300520=↹⩛-144324","layer":2},{"info":"↹⩛3/↹⩛-144324=↹⩛-1","layer":1},{"info":"↸⊣↹⩛-1=↹⩛2","layer":0}]} +{"id":410,"expression_no_base_symbol":"((⊁⨺$1002$)⪎↠$2878$⪟⇏$4055$+$6539$≁↽≥$1051$⪔$1061$⊝⪿⪼$2002$)⊲⩕⊾(⫟(⫓⪴$2864$)≀⫉($2207$⪣⫩))","expression":"((⊁⨺↹⩛4350)⪎↠↹⩛21154⪟⇏↹⩛30435+↹⩛50135≁↽≥↹⩛4511⪔↹⩛4525⊝⪿⪼↹⩛13134)⊲⩕⊾(⫟(⫓⪴↹⩛21132)≀⫉(↹⩛14115⪣⫩))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29135,"operation_count":12,"complexity_ratio":2427.9166666666665,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1002,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2878,"base":6},"right_expr":{"type":"numeric_atoms","value":4055,"base":6}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6539,"base":6},"right_expr":{"type":"numeric_atoms","value":1051,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1061,"base":6},"right_expr":{"type":"numeric_atoms","value":2002,"base":6}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2864,"base":6}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2207,"base":6}}}}},"used_operators":["DmTXOeWf9t","W4YGzv6Whe","3tVxb0NHM4","PxiHyQbrIp","GODebY97qR","GjBEYRfMaF","ncHt1X6cMc","3Oe9XWJUTD","z4E1FaHLuy","oZj3VtZNQx","eLxqMNBOBk","iuk5sVOGFA"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9HNa5Wba9A","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛2525530","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=2878","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=4055, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1028","layer":2},{"info":"number node, value=6539","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=6539, right_input=1051, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=92749","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2002, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25847","layer":3},{"info":"compute binary expreesion, left_input=92749, right_input=25847, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=450, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1478","layer":1},{"info":"number node, value=2864","layer":4},{"info":"compute unary expreesion, input=2864, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8202496","layer":3},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=6588","layer":3},{"info":"compute binary expreesion, left_input=8202496, right_input=6588, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-7559","layer":1},{"info":"compute binary expreesion, left_input=1478, right_input=-7559, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=136062","layer":0}],"base":6,"result_base":6,"text":"((⊁⨺↹⩛4350)⪎↠↹⩛21154⪟⇏↹⩛30435+↹⩛50135≁↽≥↹⩛4511⪔↹⩛4525⊝⪿⪼↹⩛13134)⊲⩕⊾(⫟(⫓⪴↹⩛21132)≀⫉(↹⩛14115⪣⫩))=↹⩛2525530","reverse_text":"↹⩛2525530=((⊁⨺↹⩛4350)⪎↠↹⩛21154⪟⇏↹⩛30435+↹⩛50135≁↽≥↹⩛4511⪔↹⩛4525⊝⪿⪼↹⩛13134)⊲⩕⊾(⫟(⫓⪴↹⩛21132)≀⫉(↹⩛14115⪣⫩))","cot":[{"info":"⊁⨺↹⩛4350=↹⩛424","layer":3},{"info":"↹⩛21154⪟⇏↹⩛30435=↹⩛-1","layer":3},{"info":"↹⩛424⪎↠↹⩛-1=↹⩛4432","layer":2},{"info":"↹⩛50135≁↽≥↹⩛4511=↹⩛1553221","layer":3},{"info":"↹⩛4525⊝⪿⪼↹⩛13134=↹⩛315355","layer":3},{"info":"↹⩛1553221⪔↹⩛315355=↹⩛2030","layer":2},{"info":"↹⩛4432+↹⩛2030=↹⩛10502","layer":1},{"info":"⫓⪴↹⩛21132=↹⩛451450304","layer":3},{"info":"↹⩛14115⪣⫩=↹⩛50300","layer":3},{"info":"↹⩛451450304≀⫉↹⩛50300=↹⩛21022","layer":2},{"info":"⫟↹⩛21022=↹⩛-54555","layer":1},{"info":"↹⩛10502⊲⩕⊾↹⩛-54555=↹⩛2525530","layer":0}]} +{"id":411,"expression_no_base_symbol":"(⨰⫟⨤(($8396$⩨$5683$)⋘⨑⨽))+⇶⊼(($3232$⨐$1932$⊪)≬⇓($1462$↼⊘⨖$2551$)⊬⨰($1835$⊀⩕))","expression":"(⨰⫟⨤((↹⩛102512⩨↹⩛42151)⋘⨑⨽))+⇶⊼((↹⩛22544⨐↹⩛12540⊪)≬⇓(↹⩛10434↼⊘⨖↹⩛15451)⊬⨰(↹⩛12255⊀⩕))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23506,"operation_count":10,"complexity_ratio":2350.6,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8396,"base":6},"right_expr":{"type":"numeric_atoms","value":5683,"base":6}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3232,"base":6},"right_expr":{"type":"numeric_atoms","value":1932,"base":6}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1462,"base":6},"right_expr":{"type":"numeric_atoms","value":2551,"base":6}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1835,"base":6}}}}},"used_operators":["TpPTUOHfaN","Tw270M8GLb","WmT3o8z6ya","2DlMacCsIx","jWTQ2TZYIH","zVYPLywUTj","Noe24qw2ks","s3Fd5m9Dh2","bPywburJMS","r0FS3hW4cC"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8396","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=8396, right_input=5683, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=783","layer":2},{"info":"compute unary expreesion, input=783, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3232","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=1932, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6464","layer":3},{"info":"compute unary expreesion, input=-6464, 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=418583206","layer":2},{"info":"number node, value=1462","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2551, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4880","layer":3},{"info":"number node, value=1835","layer":4},{"info":"compute unary expreesion, input=1835, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4880, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=3824","layer":2},{"info":"compute binary expreesion, left_input=418583206, right_input=3824, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 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":6,"result_base":6,"text":"(⨰⫟⨤((↹⩛102512⩨↹⩛42151)⋘⨑⨽))+⇶⊼((↹⩛22544⨐↹⩛12540⊪)≬⇓(↹⩛10434↼⊘⨖↹⩛15451)⊬⨰(↹⩛12255⊀⩕))=NaN","reverse_text":"NaN=(⨰⫟⨤((↹⩛102512⩨↹⩛42151)⋘⨑⨽))+⇶⊼((↹⩛22544⨐↹⩛12540⊪)≬⇓(↹⩛10434↼⊘⨖↹⩛15451)⊬⨰(↹⩛12255⊀⩕))","cot":[{"info":"↹⩛102512⩨↹⩛42151=↹⩛0","layer":3},{"info":"↹⩛0⋘⨑⨽=↹⩛3343","layer":2},{"info":"⨰⫟⨤↹⩛3343=NaN","layer":1},{"info":"↹⩛22544⨐↹⩛12540=↹⩛-45532","layer":3},{"info":"↹⩛-45532⊪=↹⩛105311405114","layer":2},{"info":"↹⩛10434↼⊘⨖↹⩛15451=↹⩛34332","layer":3},{"info":"↹⩛12255⊀⩕=↹⩛0","layer":3},{"info":"↹⩛34332⊬⨰↹⩛0=↹⩛25412","layer":2},{"info":"↹⩛105311405114≬⇓↹⩛25412=↹⩛-34","layer":1},{"info":"NaN+⇶⊼↹⩛-34=NaN","layer":0}]} +{"id":412,"expression_no_base_symbol":"(($3818$⇴∐$4019$)⊱⇼⊻$1155$∋$2678$)↤⩊((∟⋨$2210$)⇴(≸≮$7845$))∇⊂⋱(-$1627$∊∟⩊$1967$→⨶⪴$2572$⨐$4208$)","expression":"((↹⩛25402⇴∐↹⩛30335)⊱⇼⊻↹⩛5203∋↹⩛20222)↤⩊((∟⋨↹⩛14122)⇴(≸≮↹⩛100153))∇⊂⋱(-↹⩛11311∊∟⩊↹⩛13035→⨶⪴↹⩛15524⨐↹⩛31252)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13566,"operation_count":12,"complexity_ratio":1130.5,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3818,"base":6},"right_expr":{"type":"numeric_atoms","value":4019,"base":6}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1155,"base":6},"right_expr":{"type":"numeric_atoms","value":2678,"base":6}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2210,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":7845,"base":6}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1627,"base":6},"right_expr":{"type":"numeric_atoms","value":1967,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2572,"base":6},"right_expr":{"type":"numeric_atoms","value":4208,"base":6}}}}},"used_operators":["nhYeJWJD5X","13rbtpv6ld","FyVja0WsTP","HnzytWxmAO","ukq6epAj5P","4JB6nKBMSY","ctOc4cKSDt","AljMvE3RRm","t8gj7n24qd","bF6eod5Gvf","ddLRYrp01A","Noe24qw2ks"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","8w2t5hMYqp","9FxExcQeMw","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3818","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=3818, right_input=4019, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1155","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2678, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5555204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5555204, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"number node, value=2210","layer":4},{"info":"compute unary expreesion, input=2210, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1726","layer":3},{"info":"number node, value=7845","layer":4},{"info":"compute unary expreesion, input=7845, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1726, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=1627","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1967, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1967","layer":3},{"info":"number node, value=2572","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=4208, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5144","layer":3},{"info":"compute binary expreesion, left_input=1967, right_input=-5144, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=14190","layer":2},{"info":"compute unary expreesion, input=14190, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-14190","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14190, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛25402⇴∐↹⩛30335)⊱⇼⊻↹⩛5203∋↹⩛20222)↤⩊((∟⋨↹⩛14122)⇴(≸≮↹⩛100153))∇⊂⋱(-↹⩛11311∊∟⩊↹⩛13035→⨶⪴↹⩛15524⨐↹⩛31252)=NaN","reverse_text":"NaN=((↹⩛25402⇴∐↹⩛30335)⊱⇼⊻↹⩛5203∋↹⩛20222)↤⩊((∟⋨↹⩛14122)⇴(≸≮↹⩛100153))∇⊂⋱(-↹⩛11311∊∟⩊↹⩛13035→⨶⪴↹⩛15524⨐↹⩛31252)","cot":[{"info":"↹⩛25402⇴∐↹⩛30335=NaN","layer":3},{"info":"↹⩛5203∋↹⩛20222=↹⩛315022312","layer":3},{"info":"NaN⊱⇼⊻↹⩛315022312=NaN","layer":2},{"info":"∟⋨↹⩛14122=↹⩛-11554","layer":3},{"info":"≸≮↹⩛100153=NaN","layer":3},{"info":"↹⩛-11554⇴NaN=NaN","layer":2},{"info":"NaN↤⩊NaN=NaN","layer":1},{"info":"↹⩛11311∊∟⩊↹⩛13035=↹⩛13035","layer":3},{"info":"↹⩛15524⨐↹⩛31252=↹⩛-35452","layer":3},{"info":"↹⩛13035→⨶⪴↹⩛-35452=↹⩛145410","layer":2},{"info":"-↹⩛145410=↹⩛-145410","layer":1},{"info":"NaN∇⊂⋱↹⩛-145410=NaN","layer":0}]} +{"id":413,"expression_no_base_symbol":"(($3648$⪠⩆⊳)⋭≵$1000$∛$4164$)⩷∴($1069$⊹∫⫚$1896$)⨼⩣(≅≯⇸$4748$)⨐⩸⫘((⨵≀≌$1155$)∸)⫗⊷⫓(($1308$↡⊰⫅$4611$)⊢)","expression":"((↹⩛24520⪠⩆⊳)⋭≵↹⩛4344∛↹⩛31140)⩷∴(↹⩛4541⊹∫⫚↹⩛12440)⨼⩣(≅≯⇸↹⩛33552)⨐⩸⫘((⨵≀≌↹⩛5203)∸)⫗⊷⫓((↹⩛10020↡⊰⫅↹⩛33203)⊢)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":84771,"operation_count":13,"complexity_ratio":6520.846153846154,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3648,"base":6}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":4164,"base":6}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1069,"base":6},"right_expr":{"type":"numeric_atoms","value":1896,"base":6}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":4748,"base":6}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1155,"base":6}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1308,"base":6},"right_expr":{"type":"numeric_atoms","value":4611,"base":6}}}}},"used_operators":["fu6greOZ01","9FxExcQeMw","jBncVCNhdl","JLbD19bQDL","w2537kitQq","JxwMv5le6e","uWAJUKEvyW","apS25hmuAe","zashukvMKz","o20kRiQErp","srAu1WTS94","40aOVDgCDB","VCtxkLNOzz"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","EBcxylXtPf","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","NTOWxs364D","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"↹⩛-335","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3648","layer":4},{"info":"compute unary expreesion, input=3648, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=4164","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=4164, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-670, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":2},{"info":"number node, value=1069","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=1896, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-336","layer":3},{"info":"number node, value=4748","layer":4},{"info":"compute unary expreesion, input=4748, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=26669","layer":3},{"info":"compute binary expreesion, left_input=-336, right_input=26669, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=34, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3465","layer":3},{"info":"compute unary expreesion, input=-3465, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1308","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=4611, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9222","layer":3},{"info":"compute unary expreesion, input=9222, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-9469","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-9469, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 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=-131","layer":0}],"base":6,"result_base":6,"text":"((↹⩛24520⪠⩆⊳)⋭≵↹⩛4344∛↹⩛31140)⩷∴(↹⩛4541⊹∫⫚↹⩛12440)⨼⩣(≅≯⇸↹⩛33552)⨐⩸⫘((⨵≀≌↹⩛5203)∸)⫗⊷⫓((↹⩛10020↡⊰⫅↹⩛33203)⊢)=↹⩛-335","reverse_text":"↹⩛-335=((↹⩛24520⪠⩆⊳)⋭≵↹⩛4344∛↹⩛31140)⩷∴(↹⩛4541⊹∫⫚↹⩛12440)⨼⩣(≅≯⇸↹⩛33552)⨐⩸⫘((⨵≀≌↹⩛5203)∸)⫗⊷⫓((↹⩛10020↡⊰⫅↹⩛33203)⊢)","cot":[{"info":"↹⩛24520⪠⩆⊳=↹⩛0","layer":3},{"info":"↹⩛4344∛↹⩛31140=↹⩛-3034","layer":3},{"info":"↹⩛0⋭≵↹⩛-3034=↹⩛54","layer":2},{"info":"↹⩛4541⊹∫⫚↹⩛12440=↹⩛-1320","layer":3},{"info":"≅≯⇸↹⩛33552=↹⩛323245","layer":3},{"info":"↹⩛-1320⨼⩣↹⩛323245=NaN","layer":2},{"info":"↹⩛54⩷∴NaN=NaN","layer":1},{"info":"⨵≀≌↹⩛5203=↹⩛-24013","layer":3},{"info":"↹⩛-24013∸=↹⩛453","layer":2},{"info":"↹⩛10020↡⊰⫅↹⩛33203=↹⩛110410","layer":3},{"info":"↹⩛110410⊢=↹⩛-111501","layer":2},{"info":"↹⩛453⫗⊷⫓↹⩛-111501=↹⩛-342","layer":1},{"info":"NaN⨐⩸⫘↹⩛-342=↹⩛-335","layer":0}]} +{"id":414,"expression_no_base_symbol":"⨙⪌(($1262$≨$1133$↱(⩦⊞$1109$))⨑⩅≇((∓$1197$)⫥∨⫟$3709$↓$1282$))","expression":"⨙⪌((↹⩛5502≨↹⩛5125↱(⩦⊞↹⩛5045))⨑⩅≇((∓↹⩛5313)⫥∨⫟↹⩛25101↓↹⩛5534))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18633,"operation_count":8,"complexity_ratio":2329.125,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1262,"base":6},"right_expr":{"type":"numeric_atoms","value":1133,"base":6}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1109,"base":6}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1197,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3709,"base":6},"right_expr":{"type":"numeric_atoms","value":1282,"base":6}}}}},"used_operators":["vEGLkm4Z2k","h92wMvzauj","SR5kFfdi6N","0KMCeP1Jsh","u7fv1HBiaC","KYD54nUTWz","OwUj7dcsQK","Af076pWI7l"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1133, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-10144","layer":3},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-836","layer":3},{"info":"compute binary expreesion, left_input=-10144, right_input=-836, 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=8624","layer":2},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-22827","layer":3},{"info":"number node, value=3709","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=1282, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-22827, right_input=-134, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8624, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨙⪌((↹⩛5502≨↹⩛5125↱(⩦⊞↹⩛5045))⨑⩅≇((∓↹⩛5313)⫥∨⫟↹⩛25101↓↹⩛5534))=NaN","reverse_text":"NaN=⨙⪌((↹⩛5502≨↹⩛5125↱(⩦⊞↹⩛5045))⨑⩅≇((∓↹⩛5313)⫥∨⫟↹⩛25101↓↹⩛5534))","cot":[{"info":"↹⩛5502≨↹⩛5125=↹⩛-114544","layer":3},{"info":"⩦⊞↹⩛5045=↹⩛-3512","layer":3},{"info":"↹⩛-114544↱↹⩛-3512=↹⩛103532","layer":2},{"info":"∓↹⩛5313=↹⩛-253403","layer":3},{"info":"↹⩛25101↓↹⩛5534=↹⩛-342","layer":3},{"info":"↹⩛-253403⫥∨⫟↹⩛-342=NaN","layer":2},{"info":"↹⩛103532⨑⩅≇NaN=NaN","layer":1},{"info":"⨙⪌NaN=NaN","layer":0}]} +{"id":415,"expression_no_base_symbol":"(⨩∲⋌$2287$)⨼⩣($2085$⩘$5387$)⊲⩕⊾(⨡↴$2573$∋$1142$)⨴∎","expression":"(⨩∲⋌↹⩛14331)⨼⩣(↹⩛13353⩘↹⩛40535)⊲⩕⊾(⨡↴↹⩛15525∋↹⩛5142)⨴∎","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":612,"operation_count":7,"complexity_ratio":87.42857142857143,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2287,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2085,"base":6},"right_expr":{"type":"numeric_atoms","value":5387,"base":6}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2573,"base":6},"right_expr":{"type":"numeric_atoms","value":1142,"base":6}}}}},"used_operators":["CpSg5vQTgA","DmTXOeWf9t","JxwMv5le6e","aSik1wnThz","cHh1gJQ2o6","liw5iZPkLH","ukq6epAj5P"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","P8v4zCKN1o","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2287","layer":4},{"info":"compute unary expreesion, input=2287, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2810","layer":3},{"info":"number node, value=2085","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=5387, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2810, right_input=160, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2573","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=1142, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2446348","layer":3},{"info":"compute unary expreesion, input=2446348, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2447397","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2447397, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨩∲⋌↹⩛14331)⨼⩣(↹⩛13353⩘↹⩛40535)⊲⩕⊾(⨡↴↹⩛15525∋↹⩛5142)⨴∎=NaN","reverse_text":"NaN=(⨩∲⋌↹⩛14331)⨼⩣(↹⩛13353⩘↹⩛40535)⊲⩕⊾(⨡↴↹⩛15525∋↹⩛5142)⨴∎","cot":[{"info":"⨩∲⋌↹⩛14331=↹⩛-21002","layer":3},{"info":"↹⩛13353⩘↹⩛40535=↹⩛424","layer":3},{"info":"↹⩛-21002⨼⩣↹⩛424=NaN","layer":2},{"info":"↹⩛15525∋↹⩛5142=↹⩛124233404","layer":3},{"info":"⨡↴↹⩛124233404=↹⩛124242313","layer":2},{"info":"NaN⊲⩕⊾↹⩛124242313=NaN","layer":1},{"info":"NaN⨴∎=NaN","layer":0}]} +{"id":416,"expression_no_base_symbol":"(($1618$⊲⩕⊾$4031$∠↢$3215$∳⫺$5036$)⫢⨠(($7067$⪟⇏$5840$)⫑))⨽∌((($2795$⩤)⊾⪯⋞$1341$⊹∫⫚$1055$)⨟⋌⩍$1636$⨜⨶$6465$→⨶⪴($2294$⩧⪆$3600$))","expression":"((↹⩛11254⊲⩕⊾↹⩛30355∠↢↹⩛22515∳⫺↹⩛35152)⫢⨠((↹⩛52415⪟⇏↹⩛43012)⫑))⨽∌(((↹⩛20535⩤)⊾⪯⋞↹⩛10113⊹∫⫚↹⩛4515)⨟⋌⩍↹⩛11324⨜⨶↹⩛45533→⨶⪴(↹⩛14342⩧⪆↹⩛24400))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":530,"operation_count":14,"complexity_ratio":37.857142857142854,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1618,"base":6},"right_expr":{"type":"numeric_atoms","value":4031,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3215,"base":6},"right_expr":{"type":"numeric_atoms","value":5036,"base":6}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":7067,"base":6},"right_expr":{"type":"numeric_atoms","value":5840,"base":6}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2795,"base":6}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1341,"base":6},"right_expr":{"type":"numeric_atoms","value":1055,"base":6}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1636,"base":6},"right_expr":{"type":"numeric_atoms","value":6465,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2294,"base":6},"right_expr":{"type":"numeric_atoms","value":3600,"base":6}}}}},"used_operators":["9samAPKr6k","xlXykHWxX1","KbjG8mgYpV","DmTXOeWf9t","AzXXKTstlj","CgIo77xlM2","GODebY97qR","rGHVDoGpnC","HK0tfVPux8","Z2TMIBDE3Q","uWAJUKEvyW","bF6eod5Gvf","HiPekx5b7W","Ikt5ks8PT7"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Tcnh7f0tEr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","8w2t5hMYqp","9FxExcQeMw","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=4031, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-62828","layer":3},{"info":"number node, value=3215","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=5036, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-62828, right_input=-260, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=256034","layer":2},{"info":"number node, value=7067","layer":4},{"info":"number node, value=5840","layer":4},{"info":"compute binary expreesion, left_input=7067, right_input=5840, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=256034, right_input=3979, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2795","layer":3},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1055, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱��467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-136","layer":3},{"info":"compute binary expreesion, left_input=-2795, right_input=-136, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=1636","layer":4},{"info":"number node, value=6465","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=6465, 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=-12674","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=3600, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3600","layer":3},{"info":"compute binary expreesion, left_input=-12674, right_input=-3600, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-18180","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=-18180, 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=160, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11254⊲⩕⊾↹⩛30355∠↢↹⩛22515∳⫺↹⩛35152)⫢⨠((↹⩛52415⪟⇏↹⩛43012)⫑))⨽∌(((↹⩛20535⩤)⊾⪯⋞↹⩛10113⊹∫⫚↹⩛4515)⨟⋌⩍↹⩛11324⨜⨶↹⩛45533→⨶⪴(↹⩛14342⩧⪆↹⩛24400))=NaN","reverse_text":"NaN=((↹⩛11254⊲⩕⊾↹⩛30355∠↢↹⩛22515∳⫺↹⩛35152)⫢⨠((↹⩛52415⪟⇏↹⩛43012)⫑))⨽∌(((↹⩛20535⩤)⊾⪯⋞↹⩛10113⊹∫⫚↹⩛4515)⨟⋌⩍↹⩛11324⨜⨶↹⩛45533→⨶⪴(↹⩛14342⩧⪆↹⩛24400))","cot":[{"info":"↹⩛11254⊲⩕⊾↹⩛30355=↹⩛-1202512","layer":3},{"info":"↹⩛22515∳⫺↹⩛35152=↹⩛-1112","layer":3},{"info":"↹⩛-1202512∠↢↹⩛-1112=↹⩛5253202","layer":2},{"info":"↹⩛52415⪟⇏↹⩛43012=↹⩛-1","layer":3},{"info":"↹⩛-1⫑=↹⩛30231","layer":2},{"info":"↹⩛5253202⫢⨠↹⩛30231=↹⩛424","layer":1},{"info":"↹⩛20535⩤=↹⩛-20535","layer":3},{"info":"↹⩛10113⊹∫⫚↹⩛4515=↹⩛-344","layer":3},{"info":"↹⩛-20535⊾⪯⋞↹⩛-344=↹⩛-3444","layer":2},{"info":"↹⩛11324⨜⨶↹⩛45533=↹⩛-134402","layer":3},{"info":"↹⩛14342⩧⪆↹⩛24400=↹⩛-24400","layer":3},{"info":"↹⩛-134402→⨶⪴↹⩛-24400=↹⩛-220100","layer":2},{"info":"↹⩛-3444⨟⋌⩍↹⩛-220100=NaN","layer":1},{"info":"↹⩛424⨽∌NaN=NaN","layer":0}]} +{"id":417,"expression_no_base_symbol":"⇾⩊⇾(⋃(⊙↵-$3740$))⨜⨶(⫎≠⋺($3412$⨓$4262$))","expression":"⇾⩊⇾(⋃(⊙↵-↹⩛25152))⨜⨶(⫎≠⋺(↹⩛23444⨓↹⩛31422))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8103,"operation_count":6,"complexity_ratio":1350.5,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3740,"base":6}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3412,"base":6},"right_expr":{"type":"numeric_atoms","value":4262,"base":6}}}}},"used_operators":["bx9Z9DAK5y","HiPekx5b7W","3mBM5G4a3l","oWn0xqSxBt","LYeZOJ0nQG","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"↹⩛200533","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3740","layer":4},{"info":"compute unary expreesion, input=3740, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=100","layer":2},{"info":"number node, value=3412","layer":4},{"info":"number node, value=4262","layer":4},{"info":"compute binary expreesion, left_input=3412, right_input=4262, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰���a)⇼⇔∾(b⩨b)) }', output=-4265","layer":3},{"info":"compute unary expreesion, input=-4265, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=100, right_input=-709, 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=-2471","layer":1},{"info":"compute unary expreesion, input=-2471, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=15753","layer":0}],"base":6,"result_base":6,"text":"⇾⩊⇾(⋃(⊙↵-↹⩛25152))⨜⨶(⫎≠⋺(↹⩛23444⨓↹⩛31422))=↹⩛200533","reverse_text":"↹⩛200533=⇾⩊⇾(⋃(⊙↵-↹⩛25152))⨜⨶(⫎≠⋺(↹⩛23444⨓↹⩛31422))","cot":[{"info":"⊙↵-↹⩛25152=↹⩛-1","layer":3},{"info":"⋃↹⩛-1=↹⩛244","layer":2},{"info":"↹⩛23444⨓↹⩛31422=↹⩛-31425","layer":3},{"info":"⫎≠⋺↹⩛-31425=↹⩛-3141","layer":2},{"info":"↹⩛244⨜⨶↹⩛-3141=↹⩛-15235","layer":1},{"info":"⇾⩊⇾↹⩛-15235=↹⩛200533","layer":0}]} +{"id":418,"expression_no_base_symbol":"(≯($6111$⪝$1075$⪕(⇋⊎⋝$3141$)))≎⪠(∑⇻≧(↯⪼$1788$)⪄$1544$⋭≵$1916$)","expression":"(≯(↹⩛44143⪝↹⩛4551⪕(⇋⊎⋝↹⩛22313)))≎⪠(∑⇻≧(↯⪼↹⩛12140)⪄↹⩛11052⋭≵↹⩛12512)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22817,"operation_count":9,"complexity_ratio":2535.222222222222,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6111,"base":6},"right_expr":{"type":"numeric_atoms","value":1075,"base":6}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3141,"base":6}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1788,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1544,"base":6},"right_expr":{"type":"numeric_atoms","value":1916,"base":6}}}}},"used_operators":["aNhz54LH3e","keWfFq85dY","umQnsF7QlU","wicAB68Tmb","CzM2PEoXns","l1M9WJ3V7u","SUmda5xLS4","8jW3W4yZS5","jBncVCNhdl"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6111","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=6111, right_input=1075, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-20543","layer":3},{"info":"number node, value=3141","layer":4},{"info":"compute unary expreesion, input=3141, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-20543, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1916, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=67, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞��a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-852, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(≯(↹⩛44143⪝↹⩛4551⪕(⇋⊎⋝↹⩛22313)))≎⪠(∑⇻≧(↯⪼↹⩛12140)⪄↹⩛11052⋭≵↹⩛12512)=↹⩛230314","reverse_text":"↹⩛230314=(≯(↹⩛44143⪝↹⩛4551⪕(⇋⊎⋝↹⩛22313)))≎⪠(∑⇻≧(↯⪼↹⩛12140)⪄↹⩛11052⋭≵↹⩛12512)","cot":[{"info":"↹⩛44143⪝↹⩛4551=↹⩛-235035","layer":3},{"info":"⇋⊎⋝↹⩛22313=NaN","layer":3},{"info":"↹⩛-235035⪕NaN=↹⩛4155","layer":2},{"info":"≯↹⩛4155=↹⩛0","layer":1},{"info":"↯⪼↹⩛12140=↹⩛-33","layer":3},{"info":"↹⩛11052⋭≵↹⩛12512=↹⩛151","layer":3},{"info":"↹⩛-33⪄↹⩛151=↹⩛30231","layer":2},{"info":"∑⇻≧↹⩛30231=↹⩛-3540","layer":1},{"info":"↹⩛0≎⪠↹⩛-3540=↹⩛230314","layer":0}]} +{"id":419,"expression_no_base_symbol":"⋂(($9554$∑⇟⊟$3587$%$1931$≒∊$1362$)⫳≱↱($2522$⊮⊟↴$2373$⊭↱(∓⪦$3459$)))","expression":"⋂((↹⩛112122∑⇟⊟↹⩛24335%↹⩛12535≒∊↹⩛10150)⫳≱↱(↹⩛15402⊮⊟↴↹⩛14553⊭↱(∓⪦↹⩛24003)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":154,"operation_count":8,"complexity_ratio":19.25,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":9554,"base":6},"right_expr":{"type":"numeric_atoms","value":3587,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1931,"base":6},"right_expr":{"type":"numeric_atoms","value":1362,"base":6}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2522,"base":6},"right_expr":{"type":"numeric_atoms","value":2373,"base":6}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":3459,"base":6}}}}},"used_operators":["BUOGQAYlQx","ZvLB05nZmT","k8jYdgA6NY","U7g4x0WXJJ","5KTvxBwnZo","COABgblf1C","QDVgd2eftb","D309nIvmXG"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9554","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=9554, right_input=3587, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1362, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1447, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2522","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=2373, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=3459","layer":4},{"info":"compute unary expreesion, input=3459, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=3051","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3051, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6107","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6107, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⋂((↹⩛112122∑⇟⊟↹⩛24335%↹⩛12535≒∊↹⩛10150)⫳≱↱(↹⩛15402⊮⊟↴↹⩛14553⊭↱(∓⪦↹⩛24003)))=NaN","reverse_text":"NaN=⋂((↹⩛112122∑⇟⊟↹⩛24335%↹⩛12535≒∊↹⩛10150)⫳≱↱(↹⩛15402⊮⊟↴↹⩛14553⊭↱(∓⪦↹⩛24003)))","cot":[{"info":"↹⩛112122∑⇟⊟↹⩛24335=NaN","layer":3},{"info":"↹⩛12535≒∊↹⩛10150=↹⩛-10411","layer":3},{"info":"NaN%↹⩛-10411=NaN","layer":2},{"info":"↹⩛15402⊮⊟↴↹⩛14553=↹⩛0","layer":3},{"info":"∓⪦↹⩛24003=↹⩛22043","layer":3},{"info":"↹⩛0⊭↱↹⩛22043=↹⩛44135","layer":2},{"info":"NaN⫳≱↱↹⩛44135=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]} +{"id":420,"expression_no_base_symbol":"(⨵≀≌(∐⩳⋚($2833$≃$3476$)))⩌⋺((($8048$⫦⪉$4879$)⨽$4105$⫰⋱$1227$)⪛⫼(∡($1813$↙$5354$)))","expression":"(⨵≀≌(∐⩳⋚(↹⩛21041≃↹⩛24032)))⩌⋺(((↹⩛101132⫦⪉↹⩛34331)⨽↹⩛31001⫰⋱↹⩛5403)⪛⫼(∡(↹⩛12221↙↹⩛40442)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10723994,"operation_count":10,"complexity_ratio":1072399.4,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2833,"base":6},"right_expr":{"type":"numeric_atoms","value":3476,"base":6}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":8048,"base":6},"right_expr":{"type":"numeric_atoms","value":4879,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4105,"base":6},"right_expr":{"type":"numeric_atoms","value":1227,"base":6}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1813,"base":6},"right_expr":{"type":"numeric_atoms","value":5354,"base":6}}}}},"used_operators":["g7Hmc5v1ko","srAu1WTS94","SL6IHkK8vl","YbVcJGFEVW","hyuBjUqXlG","8HhzD0ZcuI","wscyQdcy20","6o9Blt3TJ6","pRsWfj4Fpp","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2833","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=3476, 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=-11372","layer":3},{"info":"compute unary expreesion, input=-11372, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-3333818","layer":2},{"info":"compute unary expreesion, input=-3333818, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":1},{"info":"number node, value=8048","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=8048, right_input=4879, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-11196","layer":3},{"info":"number node, value=4105","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=4105, right_input=1227, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4072","layer":3},{"info":"compute binary expreesion, left_input=-11196, right_input=-4072, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-376037718","layer":2},{"info":"number node, value=1813","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=5354, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16062","layer":3},{"info":"compute unary expreesion, input=-16062, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=96372","layer":2},{"info":"compute binary expreesion, left_input=-376037718, right_input=96372, 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=inf, right_input=968, 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":6,"result_base":6,"text":"(⨵≀≌(∐⩳⋚(↹⩛21041≃↹⩛24032)))⩌⋺(((↹⩛101132⫦⪉↹⩛34331)⨽↹⩛31001⫰⋱↹⩛5403)⪛⫼(∡(↹⩛12221↙↹⩛40442)))=NaN","reverse_text":"NaN=(⨵≀≌(∐⩳⋚(↹⩛21041≃↹⩛24032)))⩌⋺(((↹⩛101132⫦⪉↹⩛34331)⨽↹⩛31001⫰⋱↹⩛5403)⪛⫼(∡(↹⩛12221↙↹⩛40442)))","cot":[{"info":"↹⩛21041≃↹⩛24032=↹⩛-124352","layer":3},{"info":"∐⩳⋚↹⩛-124352=↹⩛-155242202","layer":2},{"info":"⨵≀≌↹⩛-155242202=Inf","layer":1},{"info":"↹⩛101132⫦⪉↹⩛34331=↹⩛-123500","layer":3},{"info":"↹⩛31001⫰⋱↹⩛5403=↹⩛-30504","layer":3},{"info":"↹⩛-123500⨽↹⩛-30504=↹⩛-101151443210","layer":2},{"info":"↹⩛12221↙↹⩛40442=↹⩛-202210","layer":3},{"info":"∡↹⩛-202210=↹⩛2022100","layer":2},{"info":"↹⩛-101151443210⪛⫼↹⩛2022100=↹⩛4252","layer":1},{"info":"Inf⩌⋺↹⩛4252=NaN","layer":0}]} +{"id":421,"expression_no_base_symbol":"(($5375$⪭≯$2709$∖($8504$∴≳≥))⇴∐(≅≯⇸$1790$)⨔⇊($1674$∙∹∝$2167$))⫞⩸⩒($2674$∺≝⩲$2664$≝⊿($1488$≃⋄))⊕∕($4783$∠↢$2789$∕⩚$2477$⪢$3116$)","expression":"((↹⩛40515⪭≯↹⩛20313∖(↹⩛103212∴≳≥))⇴∐(≅≯⇸↹⩛12142)⨔⇊(↹⩛11430∙∹∝↹⩛14011))⫞⩸⩒(↹⩛20214∺≝⩲↹⩛20200≝⊿(↹⩛10520≃⋄))⊕∕(↹⩛34051∠↢↹⩛20525∕⩚↹⩛15245⪢↹⩛22232)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":6278,"operation_count":15,"complexity_ratio":418.53333333333336,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5375,"base":6},"right_expr":{"type":"numeric_atoms","value":2709,"base":6}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":8504,"base":6}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1790,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1674,"base":6},"right_expr":{"type":"numeric_atoms","value":2167,"base":6}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2674,"base":6},"right_expr":{"type":"numeric_atoms","value":2664,"base":6}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1488,"base":6}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4783,"base":6},"right_expr":{"type":"numeric_atoms","value":2789,"base":6}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2477,"base":6},"right_expr":{"type":"numeric_atoms","value":3116,"base":6}}}}},"used_operators":["XGcMNugi78","HnzytWxmAO","tXD093vOjl","XAx5wpdLa6","a3N2hFLK0J","JclMnS0uGI","apS25hmuAe","HmxsFra2vL","9cloC0Ngie","OKKcZfAt5B","KPf6cnQVty","aN9a90urxU","z9ffQ9n5Zr","KbjG8mgYpV","dWAJyo7jo9"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","EBcxylXtPf","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","uFcxV4UQCh","jLgFTUHLKL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","k8jYdgA6NY"],"result":"↹⩛-12154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5375","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=5375, right_input=2709, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=8504","layer":4},{"info":"compute unary expreesion, input=8504, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=34016","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=34016, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=14837","layer":3},{"info":"number node, value=1674","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=2167, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14837, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-1798","layer":1},{"info":"number node, value=2674","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=2664, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1488","layer":4},{"info":"compute unary expreesion, input=1488, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=764, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-2221","layer":2},{"info":"number node, value=4783","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=4783, right_input=2789, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-57096","layer":3},{"info":"number node, value=2477","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=3116, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-57096, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=-2221, right_input=-487, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-2221","layer":1},{"info":"compute binary expreesion, left_input=-1798, right_input=-2221, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-1798","layer":0}],"base":6,"result_base":6,"text":"((↹⩛40515⪭≯↹⩛20313∖(↹⩛103212∴≳≥))⇴∐(≅≯⇸↹⩛12142)⨔⇊(↹⩛11430∙∹∝↹⩛14011))⫞⩸⩒(↹⩛20214∺≝⩲↹⩛20200≝⊿(↹⩛10520≃⋄))⊕∕(↹⩛34051∠↢↹⩛20525∕⩚↹⩛15245⪢↹⩛22232)=↹⩛-12154","reverse_text":"↹⩛-12154=((↹⩛40515⪭≯↹⩛20313∖(↹⩛103212∴≳≥))⇴∐(≅≯⇸↹⩛12142)⨔⇊(↹⩛11430∙∹∝↹⩛14011))⫞⩸⩒(↹⩛20214∺≝⩲↹⩛20200≝⊿(↹⩛10520≃⋄))⊕∕(↹⩛34051∠↢↹⩛20525∕⩚↹⩛15245⪢↹⩛22232)","cot":[{"info":"↹⩛40515⪭≯↹⩛20313=NaN","layer":3},{"info":"↹⩛103212∴≳≥=↹⩛421252","layer":3},{"info":"NaN∖↹⩛421252=↹⩛0","layer":2},{"info":"≅≯⇸↹⩛12142=↹⩛152405","layer":3},{"info":"↹⩛11430∙∹∝↹⩛14011=↹⩛0","layer":3},{"info":"↹⩛152405⨔⇊↹⩛0=↹⩛0","layer":2},{"info":"↹⩛0⇴∐↹⩛0=↹⩛-12154","layer":1},{"info":"↹⩛20214∺≝⩲↹⩛20200=↹⩛424","layer":3},{"info":"↹⩛10520≃⋄=↹⩛3312","layer":3},{"info":"↹⩛424≝⊿↹⩛3312=↹⩛-14141","layer":2},{"info":"↹⩛34051∠↢↹⩛20525=↹⩛-1120200","layer":3},{"info":"↹⩛15245⪢↹⩛22232=NaN","layer":3},{"info":"↹⩛-1120200∕⩚NaN=↹⩛-2131","layer":2},{"info":"↹⩛-14141⊕∕↹⩛-2131=↹⩛-14141","layer":1},{"info":"↹⩛-12154⫞⩸⩒↹⩛-14141=↹⩛-12154","layer":0}]} +{"id":422,"expression_no_base_symbol":"((≑⋹($1333$∺≝⩲$1326$))⇼⇔∾(↥($1116$⫃⨇$4661$)))∀⊥⇻","expression":"((≑⋹(↹⩛10101∺≝⩲↹⩛10050))⇼⇔∾(↥(↹⩛5100⫃⨇↹⩛33325)))∀⊥⇻","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":883,"operation_count":6,"complexity_ratio":147.16666666666666,"tree":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1333,"base":6},"right_expr":{"type":"numeric_atoms","value":1326,"base":6}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1116,"base":6},"right_expr":{"type":"numeric_atoms","value":4661,"base":6}}}}},"used_operators":["k4iM1060OG","tifHPKVTfV","6B9nyZLogK","KPf6cnQVty","A8NUZmVepG","09Ly4LVMIf"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","k8jYdgA6NY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1326, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"number node, value=1116","layer":4},{"info":"number node, value=4661","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=4661, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-18676","layer":3},{"info":"compute unary expreesion, input=-18676, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=41, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=807","layer":1},{"info":"compute unary expreesion, input=807, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((≑⋹(↹⩛10101∺≝⩲↹⩛10050))⇼⇔∾(↥(↹⩛5100⫃⨇↹⩛33325)))∀⊥⇻=↹⩛0","reverse_text":"↹⩛0=((≑⋹(↹⩛10101∺≝⩲↹⩛10050))⇼⇔∾(↥(↹⩛5100⫃⨇↹⩛33325)))∀⊥⇻","cot":[{"info":"↹⩛10101∺≝⩲↹⩛10050=↹⩛424","layer":3},{"info":"≑⋹↹⩛424=↹⩛-3314","layer":2},{"info":"↹⩛5100⫃⨇↹⩛33325=↹⩛-222244","layer":3},{"info":"↥↹⩛-222244=↹⩛105","layer":2},{"info":"↹⩛-3314⇼⇔∾↹⩛105=↹⩛3423","layer":1},{"info":"↹⩛3423∀⊥⇻=↹⩛0","layer":0}]} +{"id":423,"expression_no_base_symbol":"($2392$⩇∃⫛$7907$⨐⩸⫘($5007$⊍⩺⋍$7547$))⫗⊷⫓($1983$⩦$3136$≨($2802$⫦⪉$1015$))≎⊠⪸(⊊≼∋($5111$⫁$3658$⇴(+⊝⨔$2717$)))","expression":"(↹⩛15024⩇∃⫛↹⩛100335⨐⩸⫘(↹⩛35103⊍⩺⋍↹⩛54535))⫗⊷⫓(↹⩛13103⩦↹⩛22304≨(↹⩛20550⫦⪉↹⩛4411))≎⊠⪸(⊊≼∋(↹⩛35355⫁↹⩛24534⇴(+⊝⨔↹⩛20325)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":91677,"operation_count":12,"complexity_ratio":7639.75,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2392,"base":6},"right_expr":{"type":"numeric_atoms","value":7907,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5007,"base":6},"right_expr":{"type":"numeric_atoms","value":7547,"base":6}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1983,"base":6},"right_expr":{"type":"numeric_atoms","value":3136,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2802,"base":6},"right_expr":{"type":"numeric_atoms","value":1015,"base":6}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5111,"base":6},"right_expr":{"type":"numeric_atoms","value":3658,"base":6}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2717,"base":6}}}}},"used_operators":["bJkvcejdHO","zashukvMKz","fu6greOZ01","1aApVXNlOP","OXDGMFPWZM","0KMCeP1Jsh","0kmYd0q39Y","wscyQdcy20","FWz7pXsQhA","4JB6nKBMSY","0ajvFaJAv0","DhbWaqg5eL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","B5M0gjZbta","jCPkEVoL5K","sdazOOVcIp","NTOWxs364D","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2392","layer":4},{"info":"number node, value=7907","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=7907, 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=5988","layer":3},{"info":"number node, value=5007","layer":4},{"info":"number node, value=7547","layer":4},{"info":"compute binary expreesion, left_input=5007, right_input=7547, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5988, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1983","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=3136, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3966","layer":3},{"info":"number node, value=2802","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=1015, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-704","layer":3},{"info":"compute binary expreesion, left_input=3966, right_input=-704, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-37184","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-37184, 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=5111","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=5111, right_input=3658, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2717","layer":4},{"info":"compute unary expreesion, input=2717, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1522, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=3618","layer":2},{"info":"compute unary expreesion, input=3618, 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=-134, right_input=-447, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15024⩇∃⫛↹⩛100335⨐⩸⫘(↹⩛35103⊍⩺⋍↹⩛54535))⫗⊷⫓(↹⩛13103⩦↹⩛22304≨(↹⩛20550⫦⪉↹⩛4411))≎⊠⪸(⊊≼∋(↹⩛35355⫁↹⩛24534⇴(+⊝⨔↹⩛20325)))=↹⩛151","reverse_text":"↹⩛151=(↹⩛15024⩇∃⫛↹⩛100335⨐⩸⫘(↹⩛35103⊍⩺⋍↹⩛54535))⫗⊷⫓(↹⩛13103⩦↹⩛22304≨(↹⩛20550⫦⪉↹⩛4411))≎⊠⪸(⊊≼∋(↹⩛35355⫁↹⩛24534⇴(+⊝⨔↹⩛20325)))","cot":[{"info":"↹⩛15024⩇∃⫛↹⩛100335=↹⩛43420","layer":3},{"info":"↹⩛35103⊍⩺⋍↹⩛54535=NaN","layer":3},{"info":"↹⩛43420⨐⩸⫘NaN=NaN","layer":2},{"info":"↹⩛13103⩦↹⩛22304=↹⩛30210","layer":3},{"info":"↹⩛20550⫦⪉↹⩛4411=↹⩛-3132","layer":3},{"info":"↹⩛30210≨↹⩛-3132=↹⩛-444052","layer":2},{"info":"NaN⫗⊷⫓↹⩛-444052=↹⩛-342","layer":1},{"info":"↹⩛35355⫁↹⩛24534=↹⩛424","layer":3},{"info":"+⊝⨔↹⩛20325=↹⩛11014","layer":3},{"info":"↹⩛424⇴↹⩛11014=↹⩛24430","layer":2},{"info":"⊊≼∋↹⩛24430=↹⩛-2023","layer":1},{"info":"↹⩛-342≎⊠⪸↹⩛-2023=↹⩛151","layer":0}]} +{"id":424,"expression_no_base_symbol":"($4255$⋣⋖$1248$∽(↞≼$4393$))⨽∌(($8704$⨑≵⋬$8155$)⋳⪒($1759$⩟))⊿∆","expression":"(↹⩛31411⋣⋖↹⩛5440∽(↞≼↹⩛32201))⨽∌((↹⩛104144⨑≵⋬↹⩛101431)⋳⪒(↹⩛12051⩟))⊿∆","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":204,"operation_count":8,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4255,"base":6},"right_expr":{"type":"numeric_atoms","value":1248,"base":6}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4393,"base":6}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":8704,"base":6},"right_expr":{"type":"numeric_atoms","value":8155,"base":6}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1759,"base":6}}}}},"used_operators":["fv3ZujxkQL","9samAPKr6k","y4ImoPnbV5","J0M6qkBnIM","DE7zCoGJt9","12rbrZMWeM","XnXgA4xnOs","fOIeswaMU4"],"dependent_operators":["NTOWxs364D","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM"],"result":"↹⩛-321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4255","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=1248, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4255","layer":3},{"info":"number node, value=4393","layer":4},{"info":"compute unary expreesion, input=4393, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=34730","layer":3},{"info":"compute binary expreesion, left_input=4255, right_input=34730, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-125287","layer":2},{"info":"number node, value=8704","layer":4},{"info":"number node, value=8155","layer":4},{"info":"compute binary expreesion, left_input=8704, right_input=8155, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12186","layer":3},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-14604","layer":3},{"info":"compute binary expreesion, left_input=-12186, right_input=-14604, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-10055","layer":2},{"info":"compute binary expreesion, left_input=-125287, right_input=-10055, 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 = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-121","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31411⋣⋖↹⩛5440∽(↞≼↹⩛32201))⨽∌((↹⩛104144⨑≵⋬↹⩛101431)⋳⪒(↹⩛12051⩟))⊿∆=↹⩛-321","reverse_text":"↹⩛-321=(↹⩛31411⋣⋖↹⩛5440∽(↞≼↹⩛32201))⨽∌((↹⩛104144⨑≵⋬↹⩛101431)⋳⪒(↹⩛12051⩟))⊿∆","cot":[{"info":"↹⩛31411⋣⋖↹⩛5440=↹⩛31411","layer":3},{"info":"↞≼↹⩛32201=↹⩛424442","layer":3},{"info":"↹⩛31411∽↹⩛424442=↹⩛-2404011","layer":2},{"info":"↹⩛104144⨑≵⋬↹⩛101431=↹⩛-132230","layer":3},{"info":"↹⩛12051⩟=↹⩛-151340","layer":3},{"info":"↹⩛-132230⋳⪒↹⩛-151340=↹⩛-114315","layer":2},{"info":"↹⩛-2404011⨽∌↹⩛-114315=↹⩛0","layer":1},{"info":"↹⩛0⊿∆=↹⩛-321","layer":0}]} +{"id":425,"expression_no_base_symbol":"(↓⇌($1959$⪔⊥$2469$≃$1145$∀⇚≩$2746$))⊹∫⫚(((∤↝$1361$)↡⊰⫅$2383$∠⫱$4888$)⨳⩥⨓(∑⇻≧$1073$≎⊠⪸$6534$))","expression":"(↓⇌(↹⩛13023⪔⊥↹⩛15233≃↹⩛5145∀⇚≩↹⩛20414))⊹∫⫚(((∤↝↹⩛10145)↡⊰⫅↹⩛15011∠⫱↹⩛34344)⨳⩥⨓(∑⇻≧↹⩛4545≎⊠⪸↹⩛50130))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25671,"operation_count":11,"complexity_ratio":2333.7272727272725,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1959,"base":6},"right_expr":{"type":"numeric_atoms","value":2469,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":2746,"base":6}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1361,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2383,"base":6},"right_expr":{"type":"numeric_atoms","value":4888,"base":6}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1073,"base":6},"right_expr":{"type":"numeric_atoms","value":6534,"base":6}}}}},"used_operators":["uWAJUKEvyW","PxpmPgHHJV","YbVcJGFEVW","HJ9erzHUuu","LRNGc0VcxI","nCS4ZIUYfx","VCtxkLNOzz","3UMq87Qwqg","QvoQhV0rrE","l1M9WJ3V7u","bJkvcejdHO"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"↹⩛-552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=2469, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2699","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2746, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2699, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"compute unary expreesion, input=69, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=69","layer":1},{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, 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=1361","layer":3},{"info":"number node, value=2383","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=4888, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1361, right_input=1234, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2468","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=6534","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=6534, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=277434","layer":3},{"info":"compute unary expreesion, input=277434, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=-852, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3320","layer":1},{"info":"compute binary expreesion, left_input=69, right_input=-3320, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":0}],"base":6,"result_base":6,"text":"(↓⇌(↹⩛13023⪔⊥↹⩛15233≃↹⩛5145∀⇚≩↹⩛20414))⊹∫⫚(((∤↝↹⩛10145)↡⊰⫅↹⩛15011∠⫱↹⩛34344)⨳⩥⨓(∑⇻≧↹⩛4545≎⊠⪸↹⩛50130))=↹⩛-552","reverse_text":"↹⩛-552=(↓⇌(↹⩛13023⪔⊥↹⩛15233≃↹⩛5145∀⇚≩↹⩛20414))⊹∫⫚(((∤↝↹⩛10145)↡⊰⫅↹⩛15011∠⫱↹⩛34344)⨳⩥⨓(∑⇻≧↹⩛4545≎⊠⪸↹⩛50130))","cot":[{"info":"↹⩛13023⪔⊥↹⩛15233=↹⩛20255","layer":3},{"info":"↹⩛5145∀⇚≩↹⩛20414=NaN","layer":3},{"info":"↹⩛20255≃NaN=↹⩛153","layer":2},{"info":"↓⇌↹⩛153=↹⩛153","layer":1},{"info":"∤↝↹⩛10145=↹⩛10145","layer":3},{"info":"↹⩛15011∠⫱↹⩛34344=↹⩛5414","layer":3},{"info":"↹⩛10145↡⊰⫅↹⩛5414=↹⩛15232","layer":2},{"info":"↹⩛4545≎⊠⪸↹⩛50130=↹⩛5540230","layer":3},{"info":"∑⇻≧↹⩛5540230=↹⩛-3540","layer":2},{"info":"↹⩛15232⨳⩥⨓↹⩛-3540=↹⩛-23212","layer":1},{"info":"↹⩛153⊹∫⫚↹⩛-23212=↹⩛-552","layer":0}]} +{"id":426,"expression_no_base_symbol":"(($3638$⫡⨏$3068$)⩌⋺$2520$⨥⫆$1123$⨳⩥⨓($1991$⪡$4367$⋭≵$1906$↢$1495$))⇌⫙⪟($3433$⋥≓≎$8892$⋭≵$4488$⨿$1052$)↤⩊(∓$3648$↓$2386$)","expression":"((↹⩛24502⫡⨏↹⩛22112)⩌⋺↹⩛15400⨥⫆↹⩛5111⨳⩥⨓(↹⩛13115⪡↹⩛32115⋭≵↹⩛12454↢↹⩛10531))⇌⫙⪟(↹⩛23521⋥≓≎↹⩛105100⋭≵↹⩛32440⨿↹⩛4512)↤⩊(∓↹⩛24520↓↹⩛15014)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":34284,"operation_count":14,"complexity_ratio":2448.8571428571427,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3638,"base":6},"right_expr":{"type":"numeric_atoms","value":3068,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2520,"base":6},"right_expr":{"type":"numeric_atoms","value":1123,"base":6}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1991,"base":6},"right_expr":{"type":"numeric_atoms","value":4367,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1906,"base":6},"right_expr":{"type":"numeric_atoms","value":1495,"base":6}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3433,"base":6},"right_expr":{"type":"numeric_atoms","value":8892,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4488,"base":6},"right_expr":{"type":"numeric_atoms","value":1052,"base":6}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3648,"base":6},"right_expr":{"type":"numeric_atoms","value":2386,"base":6}}}}},"used_operators":["AFVx7xoS7T","nCS4ZIUYfx","g7Hmc5v1ko","QMFrweE19q","yXekIHxTD4","jBncVCNhdl","oraRL2iQuh","WR6HLWljOP","13rbtpv6ld","Qy55tPpLXF","abYXlopdE0","OwUj7dcsQK","Af076pWI7l"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3638","layer":4},{"info":"number node, value=3068","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=3068, 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=25109","layer":3},{"info":"number node, value=2520","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=1123, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2122","layer":3},{"info":"compute binary expreesion, left_input=25109, right_input=2122, 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=-27352","layer":2},{"info":"number node, value=1991","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=4367, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=1495, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1422","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=1422, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-393","layer":2},{"info":"compute binary expreesion, left_input=-27352, right_input=-393, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=26959","layer":1},{"info":"number node, value=3433","layer":4},{"info":"number node, value=8892","layer":4},{"info":"compute binary expreesion, left_input=3433, right_input=8892, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=14384","layer":3},{"info":"number node, value=4488","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=1052, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=14384, right_input=-319, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3648","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=2386, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-2862","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-2862, 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=26959, 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":6,"result_base":6,"text":"((↹⩛24502⫡⨏↹⩛22112)⩌⋺↹⩛15400⨥⫆↹⩛5111⨳⩥⨓(↹⩛13115⪡↹⩛32115⋭≵↹⩛12454↢↹⩛10531))⇌⫙⪟(↹⩛23521⋥≓≎↹⩛105100⋭≵↹⩛32440⨿↹⩛4512)↤⩊(∓↹⩛24520↓↹⩛15014)=NaN","reverse_text":"NaN=((↹⩛24502⫡⨏↹⩛22112)⩌⋺↹⩛15400⨥⫆↹⩛5111⨳⩥⨓(↹⩛13115⪡↹⩛32115⋭≵↹⩛12454↢↹⩛10531))⇌⫙⪟(↹⩛23521⋥≓≎↹⩛105100⋭≵↹⩛32440⨿↹⩛4512)↤⩊(∓↹⩛24520↓↹⩛15014)","cot":[{"info":"↹⩛24502⫡⨏↹⩛22112=↹⩛312125","layer":3},{"info":"↹⩛15400⨥⫆↹⩛5111=↹⩛13454","layer":3},{"info":"↹⩛312125⩌⋺↹⩛13454=↹⩛-330344","layer":2},{"info":"↹⩛13115⪡↹⩛32115=↹⩛255","layer":3},{"info":"↹⩛12454↢↹⩛10531=↹⩛10330","layer":3},{"info":"↹⩛255⋭≵↹⩛10330=↹⩛-1453","layer":2},{"info":"↹⩛-330344⨳⩥⨓↹⩛-1453=↹⩛324451","layer":1},{"info":"↹⩛23521⋥≓≎↹⩛105100=↹⩛150332","layer":3},{"info":"↹⩛32440⨿↹⩛4512=↹⩛-1251","layer":3},{"info":"↹⩛150332⋭≵↹⩛-1251=↹⩛151","layer":2},{"info":"↹⩛24520↓↹⩛15014=↹⩛-342","layer":3},{"info":"∓↹⩛-342=↹⩛-21130","layer":2},{"info":"↹⩛151↤⩊↹⩛-21130=NaN","layer":1},{"info":"↹⩛324451⇌⫙⪟NaN=NaN","layer":0}]} +{"id":427,"expression_no_base_symbol":"(($1073$↬$5664$)⩦(⋂$1502$)⨸⪁((↯⪼$1474$)⪒($3378$⪥⨬⪅)))≎⊠⪸(↘((⫇$1750$)⨸⪁$1996$⇂≾⫗$3844$))","expression":"((↹⩛4545↬↹⩛42120)⩦(⋂↹⩛10542)⨸⪁((↯⪼↹⩛10454)⪒(↹⩛23350⪥⨬⪅)))≎⊠⪸(↘((⫇↹⩛12034)⨸⪁↹⩛13124⇂≾⫗↹⩛25444))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":279,"operation_count":12,"complexity_ratio":23.25,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1073,"base":6},"right_expr":{"type":"numeric_atoms","value":5664,"base":6}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1502,"base":6}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1474,"base":6}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":3378,"base":6}}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1750,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1996,"base":6},"right_expr":{"type":"numeric_atoms","value":3844,"base":6}}}}},"used_operators":["bJkvcejdHO","g55IO6H4Gj","0kmYd0q39Y","B5M0gjZbta","BUOGQAYlQx","f6k1SAg4EE","8jW3W4yZS5","zNRQejTB5A","LdNpr8hQHL","YjI8oCXuph","aBQ6xLxuTc"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","uFcxV4UQCh","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=5664, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-20432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20432, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=1474","layer":4},{"info":"compute unary expreesion, input=1474, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=3378","layer":4},{"info":"compute unary expreesion, input=3378, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-473, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=494","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=494, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2286","layer":3},{"info":"number node, value=1996","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=3844, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-2286, right_input=-676, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-5924","layer":2},{"info":"compute unary expreesion, input=-5924, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=348","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=348, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4545↬↹⩛42120)⩦(⋂↹⩛10542)⨸⪁((↯⪼↹⩛10454)⪒(↹⩛23350⪥⨬⪅)))≎⊠⪸(↘((⫇↹⩛12034)⨸⪁↹⩛13124⇂≾⫗↹⩛25444))=NaN","reverse_text":"NaN=((↹⩛4545↬↹⩛42120)⩦(⋂↹⩛10542)⨸⪁((↯⪼↹⩛10454)⪒(↹⩛23350⪥⨬⪅)))���⊠⪸(↘((⫇↹⩛12034)⨸⪁↹⩛13124⇂≾⫗↹⩛25444))","cot":[{"info":"↹⩛4545↬↹⩛42120=NaN","layer":3},{"info":"⋂↹⩛10542=↹⩛-234332","layer":3},{"info":"NaN⩦↹⩛-234332=NaN","layer":2},{"info":"↯⪼↹⩛10454=↹⩛-33","layer":3},{"info":"↹⩛23350⪥⨬⪅=↹⩛-2105","layer":3},{"info":"↹⩛-33⪒↹⩛-2105=↹⩛2142","layer":2},{"info":"NaN⨸⪁↹⩛2142=NaN","layer":1},{"info":"⫇↹⩛12034=↹⩛-14330","layer":3},{"info":"↹⩛13124⇂≾⫗↹⩛25444=↹⩛-3044","layer":3},{"info":"↹⩛-14330⨸⪁↹⩛-3044=↹⩛-43232","layer":2},{"info":"↘↹⩛-43232=↹⩛1340","layer":1},{"info":"NaN≎⊠⪸↹⩛1340=NaN","layer":0}]} +{"id":428,"expression_no_base_symbol":"(($2699$≀⫉$2314$↰)⇍⊗($6998$⩚⊴⇥$3393$)⊬⨰($3196$⋅⇍$8120$))⪬((⨵($4079$∣$3865$))⫌⩉⩟(↓⇌($1772$∀⇚≩$1157$)))","expression":"((↹⩛20255≀⫉↹⩛14414↰)⇍⊗(↹⩛52222⩚⊴⇥↹⩛23413)⊬⨰(↹⩛22444⋅⇍↹⩛101332))⪬((⨵(↹⩛30515∣↹⩛25521))⫌⩉⩟(↓⇌(↹⩛12112∀⇚≩↹⩛5205)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14162,"operation_count":12,"complexity_ratio":1180.1666666666667,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2699,"base":6},"right_expr":{"type":"numeric_atoms","value":2314,"base":6}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6998,"base":6},"right_expr":{"type":"numeric_atoms","value":3393,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3196,"base":6},"right_expr":{"type":"numeric_atoms","value":8120,"base":6}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4079,"base":6},"right_expr":{"type":"numeric_atoms","value":3865,"base":6}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1772,"base":6},"right_expr":{"type":"numeric_atoms","value":1157,"base":6}}}}},"used_operators":["Ez1Nq5fNfI","5uvYHDjeKN","bl5wxAcryP","oZj3VtZNQx","s3Fd5m9Dh2","NTOWxs364D","AdZkA7nFnk","XIIwhv8d0m","Tl3Y52tvF8","PPChnnnBFF","PxpmPgHHJV","LRNGc0VcxI"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","nCS4ZIUYfx","Z2TMIBDE3Q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","X99M06cbEe"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2699","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=2314, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2721","layer":2},{"info":"number node, value=6998","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=6998, right_input=3393, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10512","layer":3},{"info":"number node, value=3196","layer":4},{"info":"number node, value=8120","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=8120, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-10512, right_input=-22, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-21112","layer":2},{"info":"compute binary expreesion, left_input=2721, right_input=-21112, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=4079","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=4079, right_input=3865, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4079","layer":3},{"info":"compute unary expreesion, input=4079, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-33841","layer":2},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1157, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-33841, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-50, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"((↹⩛20255≀⫉↹⩛14414↰)⇍⊗(↹⩛52222⩚⊴⇥↹⩛23413)⊬⨰(↹⩛22444⋅⇍↹⩛101332))⪬((⨵(↹⩛30515∣↹⩛25521))⫌⩉⩟(↓⇌(↹⩛12112∀⇚≩↹⩛5205)))=↹⩛5414","reverse_text":"↹⩛5414=((↹⩛20255≀⫉↹⩛14414↰)⇍⊗(↹⩛52222⩚⊴⇥↹⩛23413)⊬⨰(↹⩛22444⋅⇍↹⩛101332))⪬((⨵(↹⩛30515∣↹⩛25521))⫌⩉⩟(↓⇌(↹⩛12112∀⇚≩↹⩛5205)))","cot":[{"info":"↹⩛20255≀⫉↹⩛14414=↹⩛21022","layer":3},{"info":"↹⩛21022↰=↹⩛20333","layer":2},{"info":"↹⩛52222⩚⊴⇥↹⩛23413=↹⩛-120400","layer":3},{"info":"↹⩛22444⋅⇍↹⩛101332=↹⩛-34","layer":3},{"info":"↹⩛-120400⊬⨰↹⩛-34=↹⩛-241424","layer":2},{"info":"↹⩛20333⇍⊗↹⩛-241424=↹⩛-1044","layer":1},{"info":"↹⩛30515∣↹⩛25521=↹⩛30515","layer":3},{"info":"⨵↹⩛30515=↹⩛-420401","layer":2},{"info":"↹⩛12112∀⇚≩↹⩛5205=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"↹⩛-420401⫌⩉⩟NaN=↹⩛-122","layer":1},{"info":"↹⩛-1044⪬↹⩛-122=↹⩛5414","layer":0}]} +{"id":429,"expression_no_base_symbol":"(($1016$⪕$2579$)⊔(⨦⪝$1731$))≴⪞⇿($3632$≁$3921$⋝⋈⪟($6982$≫≃))∼((⇐$1931$)⪍↜⋙$4047$∳⫺$8795$⨓($2559$∑⇟⊟$1780$⇣⩺⋵($2243$⇴$9037$)))","expression":"((↹⩛4412⪕↹⩛15535)⊔(⨦⪝↹⩛12003))≴⪞⇿(↹⩛24452≁↹⩛30053⋝⋈⪟(↹⩛52154≫≃))∼((⇐↹⩛12535)⪍↜⋙↹⩛30423∳⫺↹⩛104415⨓(↹⩛15503∑⇟⊟↹⩛12124⇣⩺⋵(↹⩛14215⇴↹⩛105501)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1787,"operation_count":15,"complexity_ratio":119.13333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1016,"base":6},"right_expr":{"type":"numeric_atoms","value":2579,"base":6}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1731,"base":6}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3632,"base":6},"right_expr":{"type":"numeric_atoms","value":3921,"base":6}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6982,"base":6}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1931,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4047,"base":6},"right_expr":{"type":"numeric_atoms","value":8795,"base":6}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2559,"base":6},"right_expr":{"type":"numeric_atoms","value":1780,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2243,"base":6},"right_expr":{"type":"numeric_atoms","value":9037,"base":6}}}}},"used_operators":["DyGG3AbaNP","lvlrscuwVU","E4l6HwMY31","umQnsF7QlU","SUjycxNXIR","2DDjHMKMc0","8N2wDY1A35","X99M06cbEe","3ViojmjbAp","L05ObWFQCd","nmZMaaE0Q9","AzXXKTstlj","F4yD0voBRQ","U7g4x0WXJJ","4JB6nKBMSY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2579, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-1884, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-145","layer":2},{"info":"number node, value=3632","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=3632, right_input=3921, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=80903","layer":3},{"info":"number node, value=6982","layer":4},{"info":"compute unary expreesion, input=6982, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15365","layer":3},{"info":"compute binary expreesion, left_input=80903, right_input=15365, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=80903","layer":2},{"info":"compute binary expreesion, left_input=-145, right_input=80903, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-6240","layer":1},{"info":"number node, value=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4668","layer":3},{"info":"number node, value=4047","layer":4},{"info":"number node, value=8795","layer":4},{"info":"compute binary expreesion, left_input=4047, right_input=8795, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1340","layer":3},{"info":"compute binary expreesion, left_input=4668, right_input=-1340, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=12016","layer":2},{"info":"number node, value=2559","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1780, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=9037","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=9037, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31146","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=31146, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=12016, right_input=-260, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=257","layer":1},{"info":"compute binary expreesion, left_input=-6240, right_input=257, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4412⪕↹⩛15535)⊔(⨦⪝↹⩛12003))≴⪞⇿(↹⩛24452≁↹⩛30053⋝⋈⪟(↹⩛52154≫≃))∼((⇐↹⩛12535)⪍↜⋙↹⩛30423∳⫺↹⩛104415⨓(↹⩛15503∑⇟⊟↹⩛12124⇣⩺⋵(↹⩛14215⇴↹⩛105501)))=↹⩛0","reverse_text":"↹⩛0=((↹⩛4412⪕↹⩛15535)⊔(⨦⪝↹⩛12003))≴⪞⇿(↹⩛24452≁↹⩛30053⋝⋈⪟(↹⩛52154≫≃))∼((⇐↹⩛12535)⪍↜⋙↹⩛30423∳⫺↹⩛104415⨓(↹⩛15503∑⇟⊟↹⩛12124⇣⩺⋵(↹⩛14215⇴↹⩛105501)))","cot":[{"info":"↹⩛4412⪕↹⩛15535=↹⩛-131","layer":3},{"info":"⨦⪝↹⩛12003=↹⩛-12420","layer":3},{"info":"↹⩛-131⊔↹⩛-12420=↹⩛-401","layer":2},{"info":"↹⩛24452≁↹⩛30053=↹⩛1422315","layer":3},{"info":"↹⩛52154≫≃=↹⩛155045","layer":3},{"info":"↹⩛1422315⋝⋈⪟↹⩛155045=↹⩛1422315","layer":2},{"info":"↹⩛-401≴⪞⇿↹⩛1422315=↹⩛-44520","layer":1},{"info":"⇐↹⩛12535=↹⩛33340","layer":3},{"info":"↹⩛30423∳⫺↹⩛104415=↹⩛-10112","layer":3},{"info":"↹⩛33340⪍↜⋙↹⩛-10112=↹⩛131344","layer":2},{"info":"↹⩛15503∑⇟⊟↹⩛12124=NaN","layer":3},{"info":"↹⩛14215⇴↹⩛105501=↹⩛400110","layer":3},{"info":"NaN⇣⩺⋵↹⩛400110=↹⩛-1112","layer":2},{"info":"↹⩛131344⨓↹⩛-1112=↹⩛1105","layer":1},{"info":"↹⩛-44520∼↹⩛1105=↹⩛0","layer":0}]} +{"id":430,"expression_no_base_symbol":"≦∁(↘(($1352$⩎⪣⊞)⪘⫢(↪⫪⫘$3624$)))","expression":"≦∁(↘((↹⩛10132⩎⪣⊞)⪘⫢(↪⫪⫘↹⩛24440)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19150,"operation_count":5,"complexity_ratio":3830.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1352,"base":6}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":3624,"base":6}}}}},"used_operators":["9ICcGScMcE","LdNpr8hQHL","oacrs7FA3X","waWucp1uQ4","9dWsAM3GFt"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","uFcxV4UQCh","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","mp7IySMOzn","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"↹⩛-1252","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=2704","layer":3},{"info":"number node, value=3624","layer":4},{"info":"compute unary expreesion, input=3624, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=2704, right_input=20, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":6,"result_base":6,"text":"≦∁(↘((↹⩛10132⩎⪣⊞)⪘⫢(↪⫪⫘↹⩛24440)))=↹⩛-1252","reverse_text":"↹⩛-1252=≦∁(↘((↹⩛10132⩎⪣⊞)⪘⫢(↪⫪⫘↹⩛24440)))","cot":[{"info":"↹⩛10132⩎⪣⊞=↹⩛20304","layer":3},{"info":"↪⫪⫘↹⩛24440=↹⩛32","layer":3},{"info":"↹⩛20304⪘⫢↹⩛32=↹⩛0","layer":2},{"info":"↘↹⩛0=↹⩛0","layer":1},{"info":"≦∁↹⩛0=↹⩛-1252","layer":0}]} +{"id":431,"expression_no_base_symbol":"($6567$⊉↱≁$2615$⇍⊗(⊵⊁$2831$))≦↸(⇵⪽(⊆⋠$2752$))⪉⨛($1230$⨑⩅≇$9417$⊜)⋾⨃∁(($1526$⊝⪿⪼$5048$)⇗⋫)","expression":"(↹⩛50223⊉↱≁↹⩛20035⇍⊗(⊵⊁↹⩛21035))≦↸(⇵⪽(⊆⋠↹⩛20424))⪉⨛(↹⩛5410⨑⩅≇↹⩛111333⊜)⋾⨃∁((↹⩛11022⊝⪿⪼↹⩛35212)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9695,"operation_count":12,"complexity_ratio":807.9166666666666,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6567,"base":6},"right_expr":{"type":"numeric_atoms","value":2615,"base":6}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2831,"base":6}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2752,"base":6}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":9417,"base":6}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1526,"base":6},"right_expr":{"type":"numeric_atoms","value":5048,"base":6}}}}},"used_operators":["EWw2JM7wp4","RygbFNSyEJ","5uvYHDjeKN","w2P8NbNXyL","AvED76WdY7","ZGCBLdVRRX","EBhcHTkKd8","212REbPD9h","Eev2Q7dYIw","h92wMvzauj","hpqmaQFPrd","3Oe9XWJUTD"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","uBihLCJcMX","k8jYdgA6NY","U7g4x0WXJJ","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rxpJgHHUmx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6567","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=6567, right_input=2615, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=49928","layer":3},{"info":"number node, value=2831","layer":4},{"info":"compute unary expreesion, input=2831, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=15916","layer":3},{"info":"compute binary expreesion, left_input=49928, right_input=15916, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2752","layer":4},{"info":"compute unary expreesion, input=2752, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1169","layer":1},{"info":"number node, value=1230","layer":4},{"info":"number node, value=9417","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=9417, 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=-3690","layer":3},{"info":"compute unary expreesion, input=-3690, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=22030","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=5048","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=5048, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=32822","layer":3},{"info":"compute unary expreesion, input=32822, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22030, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1169, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50223⊉↱≁↹⩛20035⇍⊗(⊵⊁↹⩛21035))≦↸(⇵⪽(⊆⋠↹⩛20424))⪉⨛(↹⩛5410⨑⩅≇↹⩛111333⊜)⋾⨃∁((↹⩛11022⊝⪿⪼↹⩛35212)⇗⋫)=NaN","reverse_text":"NaN=(↹⩛50223⊉↱≁↹⩛20035⇍⊗(⊵⊁↹⩛21035))≦↸(⇵⪽(⊆⋠↹⩛20424))⪉⨛(↹⩛5410⨑⩅≇↹⩛111333⊜)⋾⨃∁((↹⩛11022⊝⪿⪼↹⩛35212)⇗⋫)","cot":[{"info":"↹⩛50223⊉↱≁↹⩛20035=↹⩛1023052","layer":3},{"info":"⊵⊁↹⩛21035=↹⩛201404","layer":3},{"info":"↹⩛1023052⇍⊗↹⩛201404=↹⩛-1044","layer":2},{"info":"⊆⋠↹⩛20424=↹⩛0","layer":3},{"info":"⇵⪽↹⩛0=↹⩛0","layer":2},{"info":"↹⩛-1044≦↸↹⩛0=↹⩛5225","layer":1},{"info":"↹⩛5410⨑⩅≇↹⩛111333=↹⩛-25030","layer":3},{"info":"↹⩛-25030⊜=↹⩛245554","layer":2},{"info":"↹⩛11022⊝⪿⪼↹⩛35212=↹⩛411542","layer":3},{"info":"↹⩛411542⇗⋫=NaN","layer":2},{"info":"↹⩛245554⋾⨃∁NaN=NaN","layer":1},{"info":"↹⩛5225⪉⨛NaN=NaN","layer":0}]} +{"id":432,"expression_no_base_symbol":"(↘(↨⩢⫨($3979$⋣⋖$2293$)))⪝((↪⫪⫘($3077$≠≀$2127$))⩇∃⫛(($3349$∽$1468$)≥⨤⩑($1378$⫳≱↱$1542$)))","expression":"(↘(↨⩢⫨(↹⩛30231⋣⋖↹⩛14341)))⪝((↪⫪⫘(↹⩛22125≠≀↹⩛13503))⩇∃⫛((↹⩛23301∽↹⩛10444)≥⨤⩑(↹⩛10214⫳≱↱↹⩛11050)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3987,"operation_count":10,"complexity_ratio":398.7,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3979,"base":6},"right_expr":{"type":"numeric_atoms","value":2293,"base":6}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3077,"base":6},"right_expr":{"type":"numeric_atoms","value":2127,"base":6}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3349,"base":6},"right_expr":{"type":"numeric_atoms","value":1468,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1378,"base":6},"right_expr":{"type":"numeric_atoms","value":1542,"base":6}}}}},"used_operators":["wicAB68Tmb","LdNpr8hQHL","Z5CJsN7DuW","J0M6qkBnIM","1aApVXNlOP","9dWsAM3GFt","IwW236VD4Y","gJLn6v0xnP","y4ImoPnbV5","ZvLB05nZmT"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","uFcxV4UQCh","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3979","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=3979, right_input=2293, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3979","layer":3},{"info":"compute unary expreesion, input=3979, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":1},{"info":"number node, value=3077","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=2127, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5848","layer":3},{"info":"compute unary expreesion, input=-5848, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=3349","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=1468, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-20971","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1542, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-20971, right_input=-204, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↘(↨⩢⫨(↹⩛30231⋣⋖↹⩛14341)))⪝((↪⫪⫘(↹⩛22125≠≀↹⩛13503))⩇∃⫛((↹⩛23301∽↹⩛10444)≥⨤⩑(↹⩛10214⫳≱↱↹⩛11050)))=NaN","reverse_text":"NaN=(↘(↨⩢⫨(↹⩛30231⋣⋖↹⩛14341)))⪝((↪⫪⫘(↹⩛22125≠≀↹⩛13503))⩇∃⫛((↹⩛23301∽↹⩛10444)≥⨤⩑(↹⩛10214⫳≱↱↹⩛11050)))","cot":[{"info":"↹⩛30231⋣⋖↹⩛14341=↹⩛30231","layer":3},{"info":"↨⩢⫨↹⩛30231=↹⩛0","layer":2},{"info":"↘↹⩛0=↹⩛0","layer":1},{"info":"↹⩛22125≠≀↹⩛13503=↹⩛-43024","layer":3},{"info":"↪⫪⫘↹⩛-43024=↹⩛32","layer":2},{"info":"↹⩛23301∽↹⩛10444=↹⩛-241031","layer":3},{"info":"↹⩛10214⫳≱↱↹⩛11050=↹⩛-540","layer":3},{"info":"↹⩛-241031≥⨤⩑↹⩛-540=NaN","layer":2},{"info":"↹⩛32⩇∃⫛NaN=NaN","layer":1},{"info":"↹⩛0⪝NaN=NaN","layer":0}]} +{"id":433,"expression_no_base_symbol":"(($2049$↙$2213$)≳⇉($7935$⪨≂$2470$))⊲⩕⊾($3580$⊲⩕⊾$2728$)⊢($1951$⫦⪉$2202$)⫭","expression":"((↹⩛13253↙↹⩛14125)≳⇉(↹⩛100423⪨≂↹⩛15234))⊲⩕⊾(↹⩛24324⊲⩕⊾↹⩛20344)⊢(↹⩛13011⫦⪉↹⩛14110)⫭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24454,"operation_count":8,"complexity_ratio":3056.75,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2049,"base":6},"right_expr":{"type":"numeric_atoms","value":2213,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7935,"base":6},"right_expr":{"type":"numeric_atoms","value":2470,"base":6}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3580,"base":6},"right_expr":{"type":"numeric_atoms","value":2728,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1951,"base":6},"right_expr":{"type":"numeric_atoms","value":2202,"base":6}}}}},"used_operators":["t4WUHVGj7f","DmTXOeWf9t","V0kx6qeWkN","yyfyN0ffXY","sdazOOVcIp","5twsqlHp2o","wscyQdcy20"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=2213, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6639","layer":3},{"info":"number node, value=7935","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=7935, right_input=2470, 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=11032","layer":3},{"info":"compute binary expreesion, left_input=-6639, right_input=11032, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=3580","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=2728, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-81190","layer":3},{"info":"number node, value=1951","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=2202, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=998","layer":3},{"info":"compute binary expreesion, left_input=-81190, right_input=998, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=162136","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=162136, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13253↙↹⩛14125)≳⇉(↹⩛100423⪨≂↹⩛15234))⊲⩕⊾(↹⩛24324⊲⩕⊾↹⩛20344)⊢(↹⩛13011⫦⪉↹⩛14110)⫭=NaN","reverse_text":"NaN=((↹⩛13253↙↹⩛14125)≳⇉(↹⩛100423⪨≂↹⩛15234))⊲⩕⊾(↹⩛24324⊲⩕⊾↹⩛20344)⊢(↹⩛13011⫦⪉↹⩛14110)⫭","cot":[{"info":"↹⩛13253↙↹⩛14125=↹⩛-50423","layer":3},{"info":"↹⩛100423⪨≂↹⩛15234=↹⩛123024","layer":3},{"info":"↹⩛-50423≳⇉↹⩛123024=NaN","layer":2},{"info":"↹⩛24324⊲⩕⊾↹⩛20344=↹⩛-1423514","layer":3},{"info":"↹⩛13011⫦⪉↹⩛14110=↹⩛4342","layer":3},{"info":"↹⩛-1423514⊢↹⩛4342=↹⩛3250344","layer":2},{"info":"NaN⊲⩕⊾↹⩛3250344=NaN","layer":1},{"info":"NaN⫭=NaN","layer":0}]} +{"id":434,"expression_no_base_symbol":"⇖⫷⫕((($2377$↢$7022$)⪗)≋⫹)","expression":"⇖⫷⫕(((↹���15001↢↹⩛52302)⪗)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2598,"operation_count":4,"complexity_ratio":649.5,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2377,"base":6},"right_expr":{"type":"numeric_atoms","value":7022,"base":6}}}}},"used_operators":["UHmRx3INFg","N41Kp7NANJ","VEQNXA0ZBg","WR6HLWljOP"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2377","layer":4},{"info":"number node, value=7022","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=7022, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1893","layer":3},{"info":"compute unary expreesion, input=1893, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"⇖⫷⫕(((↹⩛15001↢↹⩛52302)⪗)≋⫹)=↹⩛21022","reverse_text":"↹⩛21022=⇖⫷⫕(((↹⩛15001↢↹⩛52302)⪗)≋⫹)","cot":[{"info":"↹⩛15001↢↹⩛52302=↹⩛12433","layer":3},{"info":"↹⩛12433⪗=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⇖⫷⫕NaN=↹⩛21022","layer":0}]} +{"id":435,"expression_no_base_symbol":"↯⪼(↩⪖($2009$⪨⊡$2974$)≝⊿($6012$⫁⪎$5853$))","expression":"↯⪼(↩⪖(↹⩛13145⪨⊡↹⩛21434)≝⊿(↹⩛43500⫁⪎↹⩛43033))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":86,"operation_count":5,"complexity_ratio":17.2,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2009,"base":6},"right_expr":{"type":"numeric_atoms","value":2974,"base":6}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6012,"base":6},"right_expr":{"type":"numeric_atoms","value":5853,"base":6}}}}},"used_operators":["8jW3W4yZS5","fG6uBQFnGz","OKKcZfAt5B","kuIXHzHcAH","xRrnTEsQ6j"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","12rbrZMWeM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2009","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=2974, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=6012","layer":4},{"info":"number node, value=5853","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=5853, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=159","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=159, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-851","layer":2},{"info":"compute unary expreesion, input=-851, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=9720","layer":1},{"info":"compute unary expreesion, input=9720, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":6,"result_base":6,"text":"↯⪼(↩⪖(↹⩛13145⪨⊡↹⩛21434)≝⊿(↹⩛43500⫁⪎↹⩛43033))=↹⩛-33","reverse_text":"↹⩛-33=↯⪼(↩⪖(↹⩛13145⪨⊡↹⩛21434)≝⊿(↹⩛43500⫁⪎↹⩛43033))","cot":[{"info":"↹⩛13145⪨⊡↹⩛21434=↹⩛0","layer":3},{"info":"↹⩛43500⫁⪎↹⩛43033=↹⩛423","layer":3},{"info":"↹⩛0≝⊿↹⩛423=↹⩛-3535","layer":2},{"info":"��⪖↹⩛-3535=↹⩛113000","layer":1},{"info":"↯⪼↹⩛113000=↹⩛-33","layer":0}]} +{"id":436,"expression_no_base_symbol":"($4442$⨑⩅≇$3497$⪘⫢($1086$⪍↜⋙$1031$))⫉⨲⊜(($1365$⨰$6368$)⊊)↸(($1861$⫰⋱$1024$)⨀⨒)∓⋝($1804$⩹$6006$⪨≂$2618$⪒$1247$)","expression":"(↹⩛32322⨑⩅≇↹⩛24105⪘⫢(↹⩛5010⪍↜⋙↹⩛4435))⫉⨲⊜((↹⩛10153⨰↹⩛45252)⊊)↸((↹⩛12341⫰⋱↹⩛4424)⨀⨒)∓⋝(↹⩛12204⩹↹⩛43450⪨≂↹⩛20042⪒↹⩛5435)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3963,"operation_count":13,"complexity_ratio":304.84615384615387,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4442,"base":6},"right_expr":{"type":"numeric_atoms","value":3497,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1086,"base":6},"right_expr":{"type":"numeric_atoms","value":1031,"base":6}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1365,"base":6},"right_expr":{"type":"numeric_atoms","value":6368,"base":6}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1861,"base":6},"right_expr":{"type":"numeric_atoms","value":1024,"base":6}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1804,"base":6},"right_expr":{"type":"numeric_atoms","value":6006,"base":6}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2618,"base":6},"right_expr":{"type":"numeric_atoms","value":1247,"base":6}}}}},"used_operators":["1eCjFl0mb9","WhqkvtTD3t","oacrs7FA3X","h92wMvzauj","L05ObWFQCd","W9R8I5fN5A","eewbuw0ToL","PoHhknlbAi","j6NVkjMzuk","6o9Blt3TJ6","sdazOOVcIp","2Wsdkap16l","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4442","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=3497, 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=-13326","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1031, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=110","layer":3},{"info":"compute binary expreesion, left_input=-13326, right_input=110, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1365","layer":4},{"info":"number node, value=6368","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=6368, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4993","layer":3},{"info":"compute unary expreesion, input=-4993, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=90927, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1024, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1828","layer":3},{"info":"compute unary expreesion, input=-1828, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":2},{"info":"number node, value=1804","layer":4},{"info":"number node, value=6006","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=6006, 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=6004","layer":3},{"info":"number node, value=2618","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1247, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3865","layer":3},{"info":"compute binary expreesion, left_input=6004, right_input=-3865, 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=19840","layer":2},{"info":"compute binary expreesion, left_input=-2407, right_input=19840, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32322⨑⩅≇↹⩛24105⪘⫢(↹⩛5010⪍↜⋙↹⩛4435))⫉⨲⊜((↹⩛10153⨰↹⩛45252)⊊)↸((↹⩛12341⫰⋱↹⩛4424)⨀⨒)∓⋝(↹⩛12204⩹↹⩛43450⪨≂↹⩛20042⪒↹⩛5435)=↹⩛0","reverse_text":"↹⩛0=(↹⩛32322⨑⩅≇↹⩛24105⪘⫢(↹⩛5010⪍↜⋙↹⩛4435))⫉⨲⊜((↹⩛10153⨰↹⩛45252)⊊)↸((↹⩛12341⫰⋱↹⩛4424)⨀⨒)∓⋝(↹⩛12204⩹↹⩛43450⪨≂↹⩛20042⪒↹⩛5435)","cot":[{"info":"↹⩛32322⨑⩅≇↹⩛24105=↹⩛-141410","layer":3},{"info":"↹⩛5010⪍↜⋙↹⩛4435=↹⩛302","layer":3},{"info":"↹⩛-141410⪘⫢↹⩛302=↹⩛-1","layer":2},{"info":"↹⩛10153⨰↹⩛45252=↹⩛-35041","layer":3},{"info":"↹⩛-35041⊊=↹⩛1540543","layer":2},{"info":"↹⩛-1⫉⨲⊜↹⩛1540543=↹⩛0","layer":1},{"info":"↹⩛12341⫰⋱↹⩛4424=↹⩛-12244","layer":3},{"info":"↹⩛-12244⨀⨒=↹⩛-15051","layer":2},{"info":"↹⩛12204⩹↹⩛43450=↹⩛43444","layer":3},{"info":"↹⩛20042⪒↹⩛5435=↹⩛-25521","layer":3},{"info":"↹⩛43444⪨≂↹⩛-25521=↹⩛231504","layer":2},{"info":"↹⩛-15051∓⋝↹⩛231504=↹⩛151","layer":1},{"info":"↹⩛0↸↹⩛151=↹⩛0","layer":0}]} +{"id":437,"expression_no_base_symbol":"($7292$⪁$1900$)≦↸($4816$⫥∨⫟$6711$)⊴(($4412$⪚⩙≫)∙⊟$5231$⪛⫼$6016$)∛≔","expression":"(↹⩛53432⪁↹⩛12444)≦↸(↹⩛34144⫥∨⫟↹⩛51023)⊴((↹⩛32232⪚⩙≫)∙⊟↹⩛40115⪛⫼↹⩛43504)∛≔","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34433113,"operation_count":8,"complexity_ratio":4304139.125,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":7292,"base":6},"right_expr":{"type":"numeric_atoms","value":1900,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4816,"base":6},"right_expr":{"type":"numeric_atoms","value":6711,"base":6}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":4412,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5231,"base":6},"right_expr":{"type":"numeric_atoms","value":6016,"base":6}}}}},"used_operators":["mGnSCrte3L","Nsiff2A1zJ","RygbFNSyEJ","I7sXao9hZE","KYD54nUTWz","SxTAKzQCrw","4n53wtyJvv","hyuBjUqXlG"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","8HhzD0ZcuI","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7292","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=7292, right_input=1900, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4816","layer":4},{"info":"number node, value=6711","layer":4},{"info":"compute binary expreesion, left_input=4816, right_input=6711, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=4412","layer":4},{"info":"compute unary expreesion, input=4412, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=5231","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=5231, right_input=6016, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛53432⪁↹⩛12444)≦↸(↹⩛34144⫥∨⫟↹⩛51023)⊴((↹⩛32232⪚⩙≫)∙⊟↹⩛40115⪛⫼↹⩛43504)∛≔=NaN","reverse_text":"NaN=(↹⩛53432⪁↹⩛12444)≦↸(↹⩛34144⫥∨⫟↹⩛51023)⊴((↹⩛32232⪚⩙≫)∙⊟↹⩛40115⪛⫼↹⩛43504)∛≔","cot":[{"info":"↹⩛53432⪁↹⩛12444=NaN","layer":3},{"info":"↹⩛34144⫥∨⫟↹⩛51023=NaN","layer":3},{"info":"NaN≦↸NaN=NaN","layer":2},{"info":"↹⩛32232⪚⩙≫=NaN","layer":3},{"info":"↹⩛40115⪛⫼↹⩛43504=↹⩛4252","layer":3},{"info":"NaN∙⊟↹⩛4252=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]} +{"id":438,"expression_no_base_symbol":"(⇜($3883$≠≀$1856$))∌↝$3136$≁↽≥$1794$⇤($1116$⇞)⪉⨛$2811$⨚$1273$⪢($1019$⪨≂$6085$)⨭⪣((⪹$8262$)∙⊟(⇐$2506$))","expression":"(⇜(↹⩛25551≠≀↹⩛12332))∌↝↹⩛22304≁↽≥↹⩛12150⇤(↹⩛5100⇞)⪉⨛↹⩛21003⨚↹⩛5521⪢(↹⩛4415⪨≂↹⩛44101)⨭⪣((⪹↹⩛102130)∙⊟(⇐↹⩛15334))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19829,"operation_count":14,"complexity_ratio":1416.357142857143,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3883,"base":6},"right_expr":{"type":"numeric_atoms","value":1856,"base":6}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3136,"base":6},"right_expr":{"type":"numeric_atoms","value":1794,"base":6}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1116,"base":6}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2811,"base":6},"right_expr":{"type":"numeric_atoms","value":1273,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1019,"base":6},"right_expr":{"type":"numeric_atoms","value":6085,"base":6}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":8262,"base":6}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2506,"base":6}}}}},"used_operators":["EWw2JM7wp4","9Isq31Ruls","lFBm8KRb8F","IwW236VD4Y","YSKBFp38Pu","ncHt1X6cMc","5JYyxRJd4f","kn8WO9XteQ","dWAJyo7jo9","nREPSIbpBE","sdazOOVcIp","SxTAKzQCrw","USyYr0JgAa","nmZMaaE0Q9"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","tifHPKVTfV","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3883","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=3883, right_input=1856, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7460","layer":3},{"info":"compute unary expreesion, input=-7460, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=3136","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=1794, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=47024","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=4377","layer":3},{"info":"compute binary expreesion, left_input=47024, right_input=4377, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-254157","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=-254157, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=464","layer":1},{"info":"number node, value=2811","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=2811, right_input=1273, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1464","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=6085","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=6085, 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=-10030","layer":3},{"info":"compute binary expreesion, left_input=1464, right_input=-10030, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8262","layer":4},{"info":"compute unary expreesion, input=8262, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-8082","layer":3},{"info":"number node, value=2506","layer":4},{"info":"compute unary expreesion, input=2506, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2262","layer":3},{"info":"compute binary expreesion, left_input=-8082, right_input=2262, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=120810","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=120810, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=464, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇜(↹⩛25551≠≀↹⩛12332))∌↝↹⩛22304≁↽≥↹⩛12150⇤(↹⩛5100⇞)⪉⨛↹⩛21003⨚↹⩛5521⪢(↹⩛4415⪨≂↹⩛44101)⨭⪣((⪹↹⩛102130)∙⊟(⇐↹⩛15334))=NaN","reverse_text":"NaN=(⇜(↹⩛25551≠≀↹⩛12332))∌↝↹⩛22304≁↽≥↹⩛12150⇤(↹⩛5100⇞)⪉⨛↹⩛21003⨚↹⩛5521⪢(↹⩛4415⪨≂↹⩛44101)⨭⪣((⪹↹⩛102130)∙⊟(⇐↹⩛15334))","cot":[{"info":"↹⩛25551≠≀↹⩛12332=↹⩛-54312","layer":3},{"info":"⇜↹⩛-54312=↹⩛1024","layer":2},{"info":"↹⩛22304≁↽≥↹⩛12150=↹⩛1001412","layer":3},{"info":"↹⩛5100⇞=↹⩛32133","layer":3},{"info":"↹⩛1001412⇤↹⩛32133=↹⩛-5240353","layer":2},{"info":"↹⩛1024∌↝↹⩛-5240353=↹⩛2052","layer":1},{"info":"↹⩛21003⨚↹⩛5521=↹⩛10440","layer":3},{"info":"↹⩛4415⪨≂↹⩛44101=↹⩛-114234","layer":3},{"info":"↹⩛10440⪢↹⩛-114234=NaN","layer":2},{"info":"⪹↹⩛102130=↹⩛-101230","layer":3},{"info":"⇐↹⩛15334=↹⩛14250","layer":3},{"info":"↹⩛-101230∙⊟↹⩛14250=↹⩛2331150","layer":2},{"info":"NaN⨭⪣↹⩛2331150=NaN","layer":1},{"info":"↹⩛2052⪉⨛NaN=NaN","layer":0}]} +{"id":439,"expression_no_base_symbol":"(↩⪖$3061$)→⨶⪴$1410$⨑⩅≇$1189$⫔⩽⩺($1029$⫠↝⫳)↤⩊($1663$⫌⩹⨱)∕⩚($1578$∛$1304$)⩣⫁∢$2469$≴⪞⇿$3403$∑⇟⊟($5199$⪔$1461$∠⫱(⇘$1045$))","expression":"(↩⪖↹⩛22101)→⨶⪴↹⩛10310⨑⩅≇↹⩛5301⫔⩽⩺(↹⩛4433⫠↝⫳)↤⩊(↹⩛11411⫌⩹⨱)∕⩚(↹⩛11150∛↹⩛10012)⩣⫁∢↹⩛15233≴⪞⇿↹⩛23431∑⇟⊟(↹⩛40023⪔↹⩛10433∠⫱(⇘↹⩛4501))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7534,"operation_count":15,"complexity_ratio":502.26666666666665,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3061,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1410,"base":6},"right_expr":{"type":"numeric_atoms","value":1189,"base":6}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1029,"base":6}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1663,"base":6}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1578,"base":6},"right_expr":{"type":"numeric_atoms","value":1304,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2469,"base":6},"right_expr":{"type":"numeric_atoms","value":3403,"base":6}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5199,"base":6},"right_expr":{"type":"numeric_atoms","value":1461,"base":6}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1045,"base":6}}}}},"used_operators":["z9ffQ9n5Zr","i9eR4S00cU","bF6eod5Gvf","fG6uBQFnGz","h92wMvzauj","13rbtpv6ld","8n5YIzOsVS","EBcxylXtPf","U7g4x0WXJJ","JDUIKTTSIa","w2537kitQq","lvlrscuwVU","QvoQhV0rrE","GjBEYRfMaF","MGuIdZPyUC"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Tw270M8GLb","fu6greOZ01","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"↹⩛-2131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3061","layer":4},{"info":"compute unary expreesion, input=3061, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-21348","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1189, 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=-4230","layer":3},{"info":"compute binary expreesion, left_input=-21348, right_input=-4230, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-34268","layer":2},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=33551","layer":3},{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4727","layer":3},{"info":"compute binary expreesion, left_input=33551, right_input=4727, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-34268, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1304, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2469","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=3403, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=9645066","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=9645066, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=27","layer":2},{"info":"number node, value=5199","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=1461, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=57082","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=57082, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=27, right_input=1234, 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=nan, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":6,"result_base":6,"text":"(↩⪖↹⩛22101)→⨶⪴↹⩛10310⨑⩅≇↹⩛5301⫔⩽⩺(↹⩛4433⫠↝⫳)↤⩊(↹⩛11411⫌⩹⨱)∕⩚(↹⩛11150∛↹⩛10012)⩣⫁∢↹⩛15233≴⪞⇿↹⩛23431∑⇟⊟(↹⩛40023⪔↹⩛10433∠⫱(⇘↹⩛4501))=↹⩛-2131","reverse_text":"↹⩛-2131=(↩⪖↹⩛22101)→⨶⪴↹⩛10310⨑⩅≇↹⩛5301⫔⩽⩺(↹⩛4433⫠↝⫳)↤⩊(↹⩛11411⫌⩹⨱)∕⩚(↹⩛11150∛↹⩛10012)⩣⫁∢↹⩛15233≴⪞⇿↹⩛23431∑⇟⊟(↹⩛40023⪔↹⩛10433∠⫱(⇘↹⩛4501))","cot":[{"info":"↩⪖↹⩛22101=↹⩛-242500","layer":3},{"info":"↹⩛10310⨑⩅≇↹⩛5301=↹⩛-31330","layer":3},{"info":"↹⩛-242500→⨶⪴↹⩛-31330=↹⩛-422352","layer":2},{"info":"↹⩛4433⫠↝⫳=↹⩛415155","layer":3},{"info":"↹⩛11411⫌⩹⨱=↹⩛33515","layer":3},{"info":"↹⩛415155↤⩊↹⩛33515=NaN","layer":2},{"info":"↹⩛-422352⫔⩽⩺NaN=NaN","layer":1},{"info":"↹⩛11150∛↹⩛10012=↹⩛151","layer":3},{"info":"↹⩛15233≴⪞⇿↹⩛23431=↹⩛542421030","layer":3},{"info":"↹⩛151⩣⫁∢↹⩛542421030=↹⩛43","layer":2},{"info":"↹⩛40023⪔↹⩛10433=↹⩛2030","layer":3},{"info":"⇘↹⩛4501=↹⩛1120134","layer":3},{"info":"↹⩛2030∠⫱↹⩛1120134=↹⩛5414","layer":2},{"info":"↹⩛43∑⇟⊟↹⩛5414=NaN","layer":1},{"info":"NaN∕⩚NaN=↹⩛-2131","layer":0}]} +{"id":440,"expression_no_base_symbol":"(($1871$⪨⊡$4777$)⨑⩅≇($3374$*$4415$)≧⫂∧($2296$⫸⇳$3513$)≚⊃≕$1226$⊴$1458$)↤⩊(⫖→(⩷(⫇$1372$)))","expression":"((↹⩛12355⪨⊡↹⩛34041)⨑⩅≇(↹⩛23342*↹⩛32235)≧⫂∧(↹⩛14344⫸⇳↹⩛24133)≚⊃≕↹⩛5402⊴↹⩛10430)↤⩊(⫖→(⩷(⫇↹⩛10204)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14919830,"operation_count":11,"complexity_ratio":1356348.1818181819,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1871,"base":6},"right_expr":{"type":"numeric_atoms","value":4777,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3374,"base":6},"right_expr":{"type":"numeric_atoms","value":4415,"base":6}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2296,"base":6},"right_expr":{"type":"numeric_atoms","value":3513,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1226,"base":6},"right_expr":{"type":"numeric_atoms","value":1458,"base":6}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1372,"base":6}}}}},"used_operators":["13rbtpv6ld","Ph9nP6C5qx","h92wMvzauj","kuIXHzHcAH","9HNa5Wba9A","Bmrmz2XGnR","gx7XJ7hdpj","Nsiff2A1zJ","U4ylXWHChL","1h0rLqGiFr","YjI8oCXuph"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1871","layer":4},{"info":"number node, value=4777","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=4777, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3374","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=4415, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14896210","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14896210, 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=0","layer":2},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3513","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3513, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1458, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=0, right_input=-3394, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3394","layer":1},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1530","layer":3},{"info":"compute unary expreesion, input=-1530, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=18281","layer":2},{"info":"compute unary expreesion, input=18281, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=3394, right_input=177, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12355⪨⊡↹⩛34041)⨑⩅≇(↹⩛23342*↹⩛32235)≧⫂∧(↹⩛14344⫸⇳↹⩛24133)≚⊃≕↹⩛5402⊴↹⩛10430)↤⩊(⫖→(⩷(⫇↹⩛10204)))=NaN","reverse_text":"NaN=((↹⩛12355⪨⊡↹⩛34041)⨑⩅≇(↹⩛23342*↹⩛32235)≧⫂∧(↹⩛14344⫸⇳↹⩛24133)≚⊃≕↹⩛5402⊴↹⩛10430)↤⩊(⫖→(⩷(⫇↹⩛10204)))","cot":[{"info":"↹⩛12355⪨⊡↹⩛34041=↹⩛0","layer":3},{"info":"↹⩛23342*↹⩛32235=↹⩛1251135534","layer":3},{"info":"↹⩛0⨑⩅≇↹⩛1251135534=↹⩛0","layer":2},{"info":"↹⩛14344⫸⇳↹⩛24133=↹⩛0","layer":3},{"info":"↹⩛5402⊴↹⩛10430=NaN","layer":3},{"info":"↹⩛0≚⊃≕NaN=↹⩛-23414","layer":2},{"info":"↹⩛0≧⫂∧↹⩛-23414=↹⩛23414","layer":1},{"info":"⫇↹⩛10204=↹⩛-11030","layer":3},{"info":"⩷↹⩛-11030=↹⩛220345","layer":2},{"info":"⫖→↹⩛220345=↹⩛453","layer":1},{"info":"↹⩛23414↤⩊↹⩛453=NaN","layer":0}]} +{"id":441,"expression_no_base_symbol":"↴⪽⋼(($3726$≚⋢)+⇶⊼$1451$⩍⋽⫝̸$1346$)⨰($6673$⇮⋭$3757$∷$3591$⫥∨⫟$3793$)","expression":"↴⪽⋼((↹⩛25130≚⋢)+⇶⊼↹⩛10415⩍⋽⫝̸↹⩛10122)⨰(↹⩛50521⇮⋭↹⩛25221∷↹⩛24343⫥∨⫟↹⩛25321)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":434,"operation_count":8,"complexity_ratio":54.25,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":3726,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1451,"base":6},"right_expr":{"type":"numeric_atoms","value":1346,"base":6}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6673,"base":6},"right_expr":{"type":"numeric_atoms","value":3757,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3591,"base":6},"right_expr":{"type":"numeric_atoms","value":3793,"base":6}}}}},"used_operators":["5TUYCnJO6w","eewbuw0ToL","TpPTUOHfaN","MahUMFw56D","BiWNJpBvwn","D3AQDKkPcf","vkpjKywKVM","KYD54nUTWz"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","NTOWxs364D","7j4O788W3g","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3726","layer":4},{"info":"compute unary expreesion, input=3726, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1346, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=400","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=400, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6673","layer":4},{"info":"number node, value=3757","layer":4},{"info":"compute binary expreesion, left_input=6673, right_input=3757, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3591","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=3793, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', 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":6,"result_base":6,"text":"↴⪽⋼((↹⩛25130≚⋢)+⇶⊼↹⩛10415⩍⋽⫝̸↹⩛10122)⨰(↹⩛50521⇮⋭↹⩛25221∷↹⩛24343⫥∨⫟↹⩛25321)=NaN","reverse_text":"NaN=↴⪽⋼((↹⩛25130≚⋢)+⇶⊼↹⩛10415⩍⋽⫝̸↹⩛10122)⨰(↹⩛50521⇮⋭↹⩛25221∷↹⩛24343⫥∨⫟↹⩛25321)","cot":[{"info":"↹⩛25130≚⋢=↹⩛-225","layer":3},{"info":"↹⩛10415⩍⋽⫝̸↹⩛10122=↹⩛1504","layer":3},{"info":"↹⩛-225+⇶⊼↹⩛1504=NaN","layer":2},{"info":"↹⩛50521⇮⋭↹⩛25221=↹⩛-2105","layer":3},{"info":"↹⩛24343⫥∨⫟↹⩛25321=NaN","layer":3},{"info":"↹⩛-2105∷NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"↴⪽⋼NaN=NaN","layer":0}]} +{"id":442,"expression_no_base_symbol":"((⫡⇟⇯$5197$)⩌⋺$1259$⨼⩣$6665$)⨥⫆($5756$+⪬∐$1907$⪨⊡$1180$∣$7636$)⇯⋐","expression":"((⫡⇟⇯↹⩛40021)⩌⋺↹⩛5455⨼⩣↹⩛50505)⨥⫆(↹⩛42352+⪬∐↹⩛12455⪨⊡↹⩛5244∣↹⩛55204)⇯⋐","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":427,"operation_count":8,"complexity_ratio":53.375,"tree":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":5197,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1259,"base":6},"right_expr":{"type":"numeric_atoms","value":6665,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5756,"base":6},"right_expr":{"type":"numeric_atoms","value":1907,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1180,"base":6},"right_expr":{"type":"numeric_atoms","value":7636,"base":6}}}}},"used_operators":["LkLIoiE525","yXekIHxTD4","g7Hmc5v1ko","qWUSsah53b","JxwMv5le6e","kuIXHzHcAH","2GS7woTJqF","PPChnnnBFF"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","P8v4zCKN1o","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5197","layer":4},{"info":"compute unary expreesion, input=5197, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=11262","layer":3},{"info":"number node, value=1259","layer":4},{"info":"number node, value=6665","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=6665, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11262, 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":2},{"info":"number node, value=5756","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=5756, right_input=1907, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-17268","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=7636","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=7636, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1180","layer":3},{"info":"compute binary expreesion, left_input=-17268, right_input=1180, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⫡⇟⇯↹⩛40021)⩌⋺↹⩛5455⨼⩣↹⩛50505)⨥⫆(↹⩛42352+⪬∐↹⩛12455⪨⊡↹⩛5244∣↹⩛55204)⇯⋐=NaN","reverse_text":"NaN=((⫡⇟⇯↹⩛40021)⩌⋺↹⩛5455⨼⩣↹⩛50505)⨥⫆(↹⩛42352+⪬∐↹⩛12455⪨⊡↹⩛5244∣↹⩛55204)⇯⋐","cot":[{"info":"⫡⇟⇯↹⩛40021=↹⩛124050","layer":3},{"info":"↹⩛5455⨼⩣↹⩛50505=NaN","layer":3},{"info":"↹⩛124050⩌⋺NaN=NaN","layer":2},{"info":"↹⩛42352+⪬∐↹⩛12455=↹⩛-211540","layer":3},{"info":"↹⩛5244∣↹⩛55204=↹⩛5244","layer":3},{"info":"↹⩛-211540⪨⊡↹⩛5244=↹⩛0","layer":2},{"info":"NaN⨥⫆↹⩛0=NaN","layer":1},{"info":"NaN⇯⋐=NaN","layer":0}]} +{"id":443,"expression_no_base_symbol":"(⇜$1433$⪒⊣⊆$1992$)⨽∌($7530$⇍⊗$1839$∴≳≥)∙∹∝($3425$⫚↹⊑$1003$⪁$3507$∷$3538$)≝⊿($7672$⩖⊿$6598$⊬⨰$2282$∘$1101$)","expression":"(⇜↹⩛10345⪒⊣⊆↹⩛13120)⨽∌(↹⩛54510⇍⊗↹⩛12303∴≳≥)∙∹∝(↹⩛23505⫚↹⊑↹⩛4351⪁↹⩛24123∷↹⩛24214)≝⊿(↹⩛55304⩖⊿↹⩛50314⊬⨰↹⩛14322∘↹⩛5033)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":139918600,"operation_count":13,"complexity_ratio":10762969.23076923,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1433,"base":6},"right_expr":{"type":"numeric_atoms","value":1992,"base":6}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":7530,"base":6},"right_expr":{"type":"numeric_atoms","value":1839,"base":6}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3425,"base":6},"right_expr":{"type":"numeric_atoms","value":1003,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3507,"base":6},"right_expr":{"type":"numeric_atoms","value":3538,"base":6}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":7672,"base":6},"right_expr":{"type":"numeric_atoms","value":6598,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2282,"base":6},"right_expr":{"type":"numeric_atoms","value":1101,"base":6}}}}},"used_operators":["HmxsFra2vL","9samAPKr6k","lFBm8KRb8F","eRqsBgTDFp","a3N2hFLK0J","5uvYHDjeKN","OKKcZfAt5B","I7sXao9hZE","dfKe02y8D2","D3AQDKkPcf","s3Fd5m9Dh2","RZ5CV9rWsJ","Z5m6OM72h2"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","W4YGzv6Whe","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1433","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1992, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2866","layer":3},{"info":"compute unary expreesion, input=2866, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-23336","layer":2},{"info":"number node, value=7530","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=7530, right_input=1839, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-976","layer":2},{"info":"compute binary expreesion, left_input=-23336, right_input=-976, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=3425","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=1003, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=3507","layer":4},{"info":"number node, value=3538","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=3538, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3538","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3538, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=7672","layer":4},{"info":"number node, value=6598","layer":4},{"info":"compute binary expreesion, left_input=7672, right_input=6598, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=22014","layer":3},{"info":"number node, value=2282","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=1101, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4564","layer":3},{"info":"compute binary expreesion, left_input=22014, right_input=4564, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=39214","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=39214, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⇜↹⩛10345⪒⊣⊆↹⩛13120)⨽∌(↹⩛54510⇍⊗↹⩛12303∴≳≥)∙∹∝(↹⩛23505⫚↹⊑↹⩛4351⪁↹⩛24123∷↹⩛24214)≝⊿(↹⩛55304⩖⊿↹⩛50314⊬⨰↹⩛14322∘↹⩛5033)=↹⩛0","reverse_text":"↹⩛0=(⇜↹⩛10345⪒⊣⊆↹⩛13120)⨽∌(↹⩛54510⇍⊗↹⩛12303∴≳≥)∙∹∝(↹⩛23505⫚↹⊑↹⩛4351⪁↹⩛24123∷↹⩛24214)≝⊿(↹⩛55304⩖⊿↹⩛50314⊬⨰↹⩛14322∘↹⩛5033)","cot":[{"info":"↹⩛10345⪒⊣⊆↹⩛13120=↹⩛21134","layer":3},{"info":"⇜↹⩛21134=↹⩛-300012","layer":2},{"info":"↹⩛54510⇍⊗↹⩛12303=↹⩛-1044","layer":3},{"info":"↹⩛-1044∴≳≥=↹⩛-4304","layer":2},{"info":"↹⩛-300012⨽∌↹⩛-4304=↹⩛0","layer":1},{"info":"↹⩛23505⫚↹⊑↹⩛4351=↹⩛-2023","layer":3},{"info":"↹⩛24123∷↹⩛24214=↹⩛24214","layer":3},{"info":"↹⩛-2023⪁↹⩛24214=NaN","layer":2},{"info":"↹⩛55304⩖⊿↹⩛50314=↹⩛245530","layer":3},{"info":"↹⩛14322∘↹⩛5033=↹⩛33044","layer":3},{"info":"↹⩛245530⊬⨰↹⩛33044=↹⩛501314","layer":2},{"info":"NaN≝⊿↹⩛501314=NaN","layer":1},{"info":"↹⩛0∙∹∝NaN=↹⩛0","layer":0}]} +{"id":444,"expression_no_base_symbol":"(⨰⫟⨤(≪($1669$↺$2625$)))∝(((≻⋜$5055$)⇴∐(≉$4754$))⪷)","expression":"(⨰⫟⨤(≪(↹⩛11421↺↹⩛20053)))∝(((≻⋜↹⩛35223)⇴∐(≉↹⩛34002))⪷)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28331,"operation_count":8,"complexity_ratio":3541.375,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1669,"base":6},"right_expr":{"type":"numeric_atoms","value":2625,"base":6}}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":5055,"base":6}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4754,"base":6}}}}},"used_operators":["cTDWOvIxvz","Tw270M8GLb","Qtd6bqUJcN","7j4O788W3g","Qctrpi3WzA","HnzytWxmAO","3tj9sqzovi","e1ybzncUwg"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","t8gj7n24qd","Nsiff2A1zJ","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1669","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=2625, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2625","layer":3},{"info":"compute unary expreesion, input=2625, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute unary expreesion, input=913, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=5055","layer":4},{"info":"compute unary expreesion, input=5055, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=4754","layer":4},{"info":"compute unary expreesion, input=4754, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5285","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5285, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨰⫟⨤(≪(↹⩛11421↺↹⩛20053)))∝(((≻⋜↹⩛35223)⇴∐(≉↹⩛34002))⪷)=NaN","reverse_text":"NaN=(⨰⫟⨤(≪(↹⩛11421↺↹⩛20053)))∝(((≻⋜↹⩛35223)⇴∐(≉↹⩛34002))⪷)","cot":[{"info":"↹⩛11421↺↹⩛20053=↹⩛20053","layer":3},{"info":"≪↹⩛20053=↹⩛4121","layer":2},{"info":"⨰⫟⨤↹⩛4121=NaN","layer":1},{"info":"≻⋜↹⩛35223=NaN","layer":3},{"info":"≉↹⩛34002=↹⩛40245","layer":3},{"info":"NaN⇴∐↹⩛40245=NaN","layer":2},{"info":"NaN⪷=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]} +{"id":445,"expression_no_base_symbol":"⇵⪽(($1978$⪮%⊝$3266$⫲≸⪮$3715$⋥⋵⩄$6818$)↦)","expression":"⇵⪽((↹⩛13054⪮%⊝↹⩛23042⫲≸⪮↹⩛25111⋥⋵⩄↹⩛51322)↦)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":228936,"operation_count":5,"complexity_ratio":45787.2,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1978,"base":6},"right_expr":{"type":"numeric_atoms","value":3266,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3715,"base":6},"right_expr":{"type":"numeric_atoms","value":6818,"base":6}}}}},"used_operators":["ZGCBLdVRRX","fFznvYxMfW","P3lXMJvFrc","IWmyXbctLI","7t3wd0Fuz7"],"dependent_operators":["U7g4x0WXJJ","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1978","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=3266, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4272","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=6818","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=6818, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=4272, right_input=113, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4272","layer":2},{"info":"compute unary expreesion, input=4272, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽((↹⩛13054⪮%⊝↹⩛23042⫲≸⪮↹⩛25111⋥⋵⩄↹⩛51322)↦)=NaN","reverse_text":"NaN=⇵⪽((↹⩛13054⪮%⊝↹⩛23042⫲≸⪮↹⩛25111⋥⋵⩄↹⩛51322)↦)","cot":[{"info":"↹⩛13054⪮%⊝↹⩛23042=↹⩛31440","layer":3},{"info":"↹⩛25111⋥⋵⩄↹⩛51322=↹⩛305","layer":3},{"info":"↹⩛31440⫲≸⪮↹⩛305=↹⩛31440","layer":2},{"info":"↹⩛31440↦=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]} +{"id":446,"expression_no_base_symbol":"(⨣⨃⇪$3034$∺≝⩲$1251$)⪍↜⋙(⨆≐≲(⋗⩬⋾$2527$))⨳⩥⨓(⇖⫷⫕($2872$∲⫓$7267$))⫁((⇐$1249$)⫡⨏$1571$⫉⨲⊜$3190$)","expression":"(⨣⨃⇪↹⩛22014∺≝⩲↹⩛5443)⪍↜⋙(⨆≐≲(⋗⩬⋾↹⩛15411))⨳⩥⨓(⇖⫷⫕(↹⩛21144∲⫓↹⩛53351))⫁((⇐↹⩛5441)⫡⨏↹⩛11135⫉⨲⊜↹⩛22434)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1054,"operation_count":12,"complexity_ratio":87.83333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3034,"base":6},"right_expr":{"type":"numeric_atoms","value":1251,"base":6}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2527,"base":6}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2872,"base":6},"right_expr":{"type":"numeric_atoms","value":7267,"base":6}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1249,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1571,"base":6},"right_expr":{"type":"numeric_atoms","value":3190,"base":6}}}}},"used_operators":["nCS4ZIUYfx","L05ObWFQCd","AcOhelriW5","KPf6cnQVty","Bi9z9uYZqW","DpFCA1CohY","0ajvFaJAv0","UHmRx3INFg","i8ToyICDmI","QMFrweE19q","nmZMaaE0Q9","WhqkvtTD3t"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eewbuw0ToL","zVYPLywUTj"],"result":"↹⩛-11140522","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3034","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=1251, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=2527","layer":4},{"info":"compute unary expreesion, input=2527, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7581","layer":3},{"info":"compute unary expreesion, input=-7581, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-168548, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=339906","layer":1},{"info":"number node, value=2872","layer":4},{"info":"number node, value=7267","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=7267, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=976","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=3190, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=976, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=5663","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=5663, 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=339906, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-339746","layer":0}],"base":6,"result_base":6,"text":"(⨣⨃⇪↹⩛22014∺≝⩲↹⩛5443)⪍↜⋙(⨆≐≲(⋗⩬⋾↹⩛15411))⨳⩥⨓(⇖⫷⫕(↹⩛21144∲⫓↹⩛53351))⫁((⇐↹⩛5441)⫡⨏↹⩛11135⫉⨲⊜↹⩛22434)=↹⩛-11140522","reverse_text":"↹⩛-11140522=(⨣⨃⇪↹⩛22014∺≝⩲↹⩛5443)⪍↜⋙(⨆≐≲(⋗⩬⋾↹⩛15411))⨳⩥⨓(⇖⫷⫕(↹⩛21144∲⫓↹⩛53351))⫁((⇐↹⩛5441)⫡⨏↹⩛11135⫉⨲⊜↹⩛22434)","cot":[{"info":"↹⩛22014∺≝⩲↹⩛5443=↹⩛424","layer":3},{"info":"⨣⨃⇪↹⩛424=↹⩛10301","layer":2},{"info":"⋗⩬⋾↹⩛15411=↹⩛-55033","layer":3},{"info":"⨆≐≲↹⩛-55033=↹⩛-3340152","layer":2},{"info":"↹⩛10301⪍↜⋙↹⩛-3340152=↹⩛11141350","layer":1},{"info":"↹⩛21144∲⫓↹⩛53351=↹⩛0","layer":3},{"info":"⇖⫷⫕↹⩛0=↹⩛21022","layer":2},{"info":"⇐↹⩛5441=↹⩛4304","layer":3},{"info":"↹⩛11135⫉⨲⊜↹⩛22434=↹⩛0","layer":3},{"info":"↹⩛4304⫡⨏↹⩛0=↹⩛42115","layer":2},{"info":"↹⩛21022⫁↹⩛42115=↹⩛424","layer":1},{"info":"↹⩛11141350⨳⩥⨓↹⩛424=↹⩛-11140522","layer":0}]} +{"id":447,"expression_no_base_symbol":"⨣⨃⇪(($7821$⨚⇆$1423$)⩁⩘$1261$↤⩊$1394$⊝)","expression":"⨣⨃⇪((↹⩛100113⨚⇆↹⩛10331)⩁⩘↹⩛5501↤⩊↹⩛10242⊝)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":55097,"operation_count":5,"complexity_ratio":11019.4,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7821,"base":6},"right_expr":{"type":"numeric_atoms","value":1423,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1261,"base":6},"right_expr":{"type":"numeric_atoms","value":1394,"base":6}}}}},"used_operators":["AcOhelriW5","O6EZ0fifGK","gub5Cegaqo","lwHaAYXP2r","13rbtpv6ld"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","DpFCA1CohY","IWmyXbctLI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"↹⩛10301","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7821","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=7821, right_input=1423, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙��b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1394, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , 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":6,"result_base":6,"text":"⨣⨃⇪((↹⩛100113⨚⇆↹⩛10331)⩁⩘↹⩛5501↤⩊↹⩛10242⊝)=↹⩛10301","reverse_text":"↹⩛10301=⨣⨃⇪((↹⩛100113⨚⇆↹⩛10331)⩁⩘↹⩛5501↤⩊↹⩛10242⊝)","cot":[{"info":"↹⩛100113⨚⇆↹⩛10331=NaN","layer":3},{"info":"↹⩛5501↤⩊↹⩛10242=NaN","layer":3},{"info":"NaN⩁⩘NaN=NaN","layer":2},{"info":"NaN⊝=NaN","layer":1},{"info":"⨣⨃⇪NaN=↹⩛10301","layer":0}]} +{"id":448,"expression_no_base_symbol":"⊆⋠((⊢≑≆$7656$)↞⋁($5063$⋥≓≎$2970$)⫚⫇)","expression":"⊆⋠((⊢≑≆↹⩛55240)↞⋁(↹⩛35235⋥≓≎↹⩛21430)⫚⫇)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":232,"operation_count":5,"complexity_ratio":46.4,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":7656,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5063,"base":6},"right_expr":{"type":"numeric_atoms","value":2970,"base":6}}}}},"used_operators":["EBhcHTkKd8","SdCjLnB6rR","RqrPlJkxDo","27wFxooxGf","Qy55tPpLXF"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7656","layer":4},{"info":"compute unary expreesion, input=7656, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=31076","layer":3},{"info":"number node, value=5063","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=2970, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=910","layer":3},{"info":"compute binary expreesion, left_input=31076, right_input=910, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', 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":6,"result_base":6,"text":"⊆⋠((⊢≑≆↹⩛55240)↞⋁(↹⩛35235⋥≓≎↹⩛21430)⫚⫇)=↹⩛30231","reverse_text":"↹⩛30231=⊆⋠((⊢≑≆↹⩛55240)↞⋁(↹⩛35235⋥≓≎↹⩛21430)⫚⫇)","cot":[{"info":"⊢≑≆↹⩛55240=↹⩛355512","layer":3},{"info":"↹⩛35235⋥≓≎↹⩛21430=↹⩛4114","layer":3},{"info":"↹⩛355512↞⋁↹⩛4114=NaN","layer":2},{"info":"NaN⫚⫇=NaN","layer":1},{"info":"⊆⋠NaN=↹⩛30231","layer":0}]} +{"id":449,"expression_no_base_symbol":"(($1296$⪕$1659$)⨕⋳)⨽∌(⨑⩽⪐($1164$≃⋄))⩦(($6564$⨥⫆$2945$)⨂≜(⩷$1834$)∣(↽≂$2442$)⪃⊛⇣$6105$⪃⊛⇣$5037$)","expression":"((↹⩛10000⪕↹⩛11403)⨕⋳)⨽∌(⨑⩽⪐(↹⩛5220≃⋄))⩦((↹⩛50220⨥⫆↹⩛21345)⨂≜(⩷↹⩛12254)∣(↽≂↹⩛15150)⪃⊛⇣↹⩛44133⪃⊛⇣↹⩛35153)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7206,"operation_count":13,"complexity_ratio":554.3076923076923,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1296,"base":6},"right_expr":{"type":"numeric_atoms","value":1659,"base":6}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1164,"base":6}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6564,"base":6},"right_expr":{"type":"numeric_atoms","value":2945,"base":6}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1834,"base":6}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2442,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6105,"base":6},"right_expr":{"type":"numeric_atoms","value":5037,"base":6}}}}},"used_operators":["0kmYd0q39Y","9samAPKr6k","4X4GscPmMf","umQnsF7QlU","AF7qkfDlqP","aN9a90urxU","PPChnnnBFF","k1SHOSEABc","yXekIHxTD4","1h0rLqGiFr","rrgAzCduG9","u6S6b8DprG"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","uFcxV4UQCh","jLgFTUHLKL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1659, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1834","layer":3},{"info":"compute unary expreesion, input=1834, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=81020","layer":2},{"info":"number node, value=1164","layer":4},{"info":"compute unary expreesion, input=1164, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-491","layer":2},{"info":"compute binary expreesion, left_input=81020, right_input=-491, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=6564","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=6564, right_input=2945, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5766","layer":3},{"info":"number node, value=1834","layer":4},{"info":"compute unary expreesion, input=1834, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-22087","layer":3},{"info":"compute binary expreesion, left_input=5766, right_input=-22087, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2442","layer":4},{"info":"compute unary expreesion, input=2442, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4884","layer":3},{"info":"number node, value=6105","layer":4},{"info":"number node, value=5037","layer":4},{"info":"compute binary expreesion, left_input=6105, right_input=5037, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4884, right_input=1234, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10000⪕↹⩛11403)⨕⋳)⨽∌(⨑⩽⪐(↹⩛5220≃⋄))⩦((↹⩛50220⨥⫆↹⩛21345)⨂≜(⩷↹⩛12254)∣(↽≂↹⩛15150)⪃⊛⇣↹⩛44133⪃⊛⇣↹⩛35153)=↹⩛0","reverse_text":"↹⩛0=((↹⩛10000⪕↹⩛11403)⨕⋳)���∌(⨑⩽⪐(↹⩛5220≃⋄))⩦((↹⩛50220⨥⫆↹⩛21345)⨂≜(⩷↹⩛12254)∣(↽≂↹⩛15150)⪃⊛⇣↹⩛44133⪃⊛⇣↹⩛35153)","cot":[{"info":"↹⩛10000⪕↹⩛11403=↹⩛12254","layer":3},{"info":"↹⩛12254⨕⋳=↹⩛1423032","layer":2},{"info":"↹⩛5220≃⋄=↹⩛3312","layer":3},{"info":"⨑⩽⪐↹⩛3312=↹⩛-2135","layer":2},{"info":"↹⩛1423032⨽∌↹⩛-2135=↹⩛0","layer":1},{"info":"↹⩛50220⨥⫆↹⩛21345=↹⩛42410","layer":3},{"info":"⩷↹⩛12254=↹⩛-250131","layer":3},{"info":"↹⩛42410⨂≜↹⩛-250131=NaN","layer":2},{"info":"↽≂↹⩛15150=↹⩛-34340","layer":3},{"info":"↹⩛44133⪃⊛⇣↹⩛35153=↹⩛5414","layer":3},{"info":"↹⩛-34340⪃⊛⇣↹⩛5414=↹⩛5414","layer":2},{"info":"NaN∣↹⩛5414=NaN","layer":1},{"info":"↹⩛0⩦NaN=↹⩛0","layer":0}]} +{"id":450,"expression_no_base_symbol":"(($1685$⫥∨⫟$2286$)⩍⋽⫝̸($1296$⫥∨⫟$6750$)≚⊃≕($1106$⩦$1180$⋳⪒$5260$⫉⨲⊜$3787$))≁↽≥((($2985$⩅⪻⪻)⇮⋭($1823$∽$5249$))↺($1854$⪡$3042$)⪝($1283$⫒⫫$1944$))","expression":"((↹⩛11445⫥∨⫟↹⩛14330)⩍⋽⫝̸(↹⩛10000⫥∨⫟↹⩛51130)≚⊃≕(↹⩛5042⩦↹⩛5244⋳⪒↹⩛40204⫉⨲⊜↹⩛25311))≁↽≥(((↹⩛21453⩅⪻⪻)⇮⋭(↹⩛12235∽↹⩛40145))↺(↹⩛12330⪡↹⩛22030)⪝(↹⩛5535⫒⫫↹⩛13000))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1034,"operation_count":15,"complexity_ratio":68.93333333333334,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1685,"base":6},"right_expr":{"type":"numeric_atoms","value":2286,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1296,"base":6},"right_expr":{"type":"numeric_atoms","value":6750,"base":6}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1106,"base":6},"right_expr":{"type":"numeric_atoms","value":1180,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5260,"base":6},"right_expr":{"type":"numeric_atoms","value":3787,"base":6}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":2985,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1823,"base":6},"right_expr":{"type":"numeric_atoms","value":5249,"base":6}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1854,"base":6},"right_expr":{"type":"numeric_atoms","value":3042,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1283,"base":6},"right_expr":{"type":"numeric_atoms","value":1944,"base":6}}}}},"used_operators":["ncHt1X6cMc","Bmrmz2XGnR","BiWNJpBvwn","KYD54nUTWz","12rbrZMWeM","0kmYd0q39Y","WhqkvtTD3t","7j4O788W3g","vkpjKywKVM","kHoXpA7yos","y4ImoPnbV5","wicAB68Tmb","oraRL2iQuh","6Ko8hGgeMq"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","NTOWxs364D","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=2286, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=6750","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=6750, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1180, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2212","layer":3},{"info":"number node, value=5260","layer":4},{"info":"number node, value=3787","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=3787, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2212, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4137","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4137, 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=2985","layer":4},{"info":"compute unary expreesion, input=2985, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-441205","layer":3},{"info":"number node, value=1823","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=5249, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24684","layer":3},{"info":"compute binary expreesion, left_input=-441205, right_input=-24684, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1854","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=3042, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1944, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11445⫥∨⫟↹⩛14330)⩍⋽⫝̸(↹⩛10000⫥∨⫟↹⩛51130)≚⊃≕(↹⩛5042⩦↹⩛5244⋳⪒↹⩛40204⫉⨲⊜↹⩛25311))≁↽≥(((↹⩛21453⩅⪻⪻)⇮⋭(↹⩛12235∽↹⩛40145))↺(↹⩛12330⪡↹⩛22030)⪝(↹⩛5535⫒⫫↹⩛13000))=NaN","reverse_text":"NaN=((↹⩛11445⫥∨⫟↹⩛14330)⩍⋽⫝̸(↹⩛10000⫥∨⫟↹⩛51130)≚⊃≕(↹⩛5042⩦↹⩛5244⋳⪒↹⩛40204⫉⨲⊜↹⩛25311))≁↽≥(((↹⩛21453⩅⪻⪻)⇮⋭(↹⩛12235∽↹⩛40145))↺(↹⩛12330⪡↹⩛22030)⪝(↹⩛5535⫒⫫↹⩛13000))","cot":[{"info":"↹⩛11445⫥∨⫟↹⩛14330=NaN","layer":3},{"info":"↹⩛10000⫥∨⫟↹⩛51130=NaN","layer":3},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":2},{"info":"↹⩛5042⩦↹⩛5244=↹⩛14124","layer":3},{"info":"↹⩛40204⫉⨲⊜↹⩛25311=↹⩛0","layer":3},{"info":"↹⩛14124⋳⪒↹⩛0=↹⩛31053","layer":2},{"info":"NaN≚⊃≕↹⩛31053=↹⩛151","layer":1},{"info":"↹⩛21453⩅⪻⪻=↹⩛-13242341","layer":3},{"info":"↹⩛12235∽↹⩛40145=↹⩛-310140","layer":3},{"info":"↹⩛-13242341⇮⋭↹⩛-310140=↹⩛151","layer":2},{"info":"↹⩛12330⪡↹⩛22030=↹⩛255","layer":3},{"info":"↹⩛5535⫒⫫↹⩛13000=NaN","layer":3},{"info":"↹⩛255⪝NaN=NaN","layer":2},{"info":"↹⩛151↺NaN=NaN","layer":1},{"info":"↹⩛151≁↽≥NaN=NaN","layer":0}]} +{"id":451,"expression_no_base_symbol":"((($1648$⪨⊡$2533$)≀⫉($5485$⇄$1132$))⨘)⊾⪯⋞((≉$1081$)⇌⫙⪟($1110$⊭↱$5288$))⊱⇼⊻((⋂$5374$)∩⋅)","expression":"(((↹⩛11344⪨⊡↹⩛15421)≀⫉(↹⩛41221⇄↹⩛5124))⨘)⊾⪯⋞((≉↹⩛5001)⇌⫙⪟(↹⩛5050⊭↱↹⩛40252))⊱⇼⊻((⋂↹⩛40514)∩⋅)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3106,"operation_count":11,"complexity_ratio":282.3636363636364,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1648,"base":6},"right_expr":{"type":"numeric_atoms","value":2533,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5485,"base":6},"right_expr":{"type":"numeric_atoms","value":1132,"base":6}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1081,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1110,"base":6},"right_expr":{"type":"numeric_atoms","value":5288,"base":6}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":5374,"base":6}}}}},"used_operators":["HK0tfVPux8","ljcfZBUpm8","oZj3VtZNQx","kuIXHzHcAH","3EYGwJThht","FyVja0WsTP","AFVx7xoS7T","e1ybzncUwg","COABgblf1C","2MzE1hQ0cz","BUOGQAYlQx"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"↹⩛44054","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2533, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5485","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=5485, right_input=1132, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-20529","layer":1},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1612","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=5288","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=5288, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8361","layer":3},{"info":"compute binary expreesion, left_input=1612, right_input=8361, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=5374","layer":4},{"info":"compute unary expreesion, input=5374, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-74640","layer":3},{"info":"compute unary expreesion, input=-74640, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=67, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3254","layer":1},{"info":"compute binary expreesion, left_input=-20529, right_input=3254, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6082","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛11344⪨⊡↹⩛15421)≀⫉(↹⩛41221⇄↹⩛5124))⨘)⊾⪯⋞((≉↹⩛5001)⇌⫙⪟(↹⩛5050⊭↱↹⩛40252))⊱⇼⊻((⋂↹⩛40514)∩⋅)=↹⩛44054","reverse_text":"↹⩛44054=(((↹⩛11344⪨⊡↹⩛15421)≀⫉(↹⩛41221⇄↹⩛5124))⨘)⊾⪯⋞((≉↹⩛5001)⇌⫙⪟(↹⩛5050⊭↱↹⩛40252))⊱⇼⊻((⋂↹⩛40514)∩⋅)","cot":[{"info":"↹⩛11344⪨⊡↹⩛15421=↹⩛0","layer":3},{"info":"↹⩛41221⇄↹⩛5124=↹⩛0","layer":3},{"info":"↹⩛0≀⫉↹⩛0=↹⩛21022","layer":2},{"info":"↹⩛21022⨘=↹⩛-235013","layer":1},{"info":"≉↹⩛5001=↹⩛11244","layer":3},{"info":"↹⩛5050⊭↱↹⩛40252=↹⩛102413","layer":3},{"info":"↹⩛11244⇌⫙⪟↹⩛102413=↹⩛305","layer":2},{"info":"⋂↹⩛40514=↹⩛-1333320","layer":3},{"info":"↹⩛-1333320∩⋅=↹⩛151","layer":2},{"info":"↹⩛305⊱⇼⊻↹⩛151=↹⩛23022","layer":1},{"info":"↹⩛-235013⊾⪯⋞↹⩛23022=↹⩛44054","layer":0}]} +{"id":452,"expression_no_base_symbol":"⪛⨧(⇉-⫰$1001$)⋹⋡⊁($1002$⪪$5142$)⫯⪬∳((⫡⇟⇯$1239$)��⇍$2386$≒∊$3423$)","expression":"⪛⨧(⇉-⫰↹⩛4345)⋹⋡⊁(↹⩛4350⪪↹⩛35450)⫯⪬∳((⫡⇟⇯↹⩛5423)⋅⇍↹⩛15014≒∊↹⩛23503)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3202,"operation_count":8,"complexity_ratio":400.25,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1001,"base":6}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1002,"base":6},"right_expr":{"type":"numeric_atoms","value":5142,"base":6}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1239,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2386,"base":6},"right_expr":{"type":"numeric_atoms","value":3423,"base":6}}}}},"used_operators":["6NJAcO2OWT","d7ASUq0ydm","As8RqfVLgs","IGFM8TAlm9","xD69zh8xqp","AdZkA7nFnk","qWUSsah53b","5KTvxBwnZo"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eH2TOUuTDT","eewbuw0ToL","FU0Cs4j7VP","JclMnS0uGI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DZ8iAZOCBD","P8v4zCKN1o","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"↹⩛30135","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=5142, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-147391","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-147391, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-582","layer":2},{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3346","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=3423, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1902","layer":3},{"info":"compute binary expreesion, left_input=3346, right_input=-1902, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-3919","layer":2},{"info":"compute binary expreesion, left_input=-582, right_input=-3919, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1273","layer":1},{"info":"compute unary expreesion, input=1273, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3947","layer":0}],"base":6,"result_base":6,"text":"⪛⨧(⇉-⫰↹⩛4345)⋹⋡⊁(↹⩛4350⪪↹⩛35450)⫯⪬∳((⫡⇟⇯↹⩛5423)⋅⇍↹⩛15014≒∊↹⩛23503)=↹⩛30135","reverse_text":"↹⩛30135=⪛⨧(⇉-⫰↹⩛4345)⋹⋡⊁(↹⩛4350⪪↹⩛35450)⫯⪬∳((⫡⇟⇯↹⩛5423)⋅⇍↹⩛15014≒∊↹⩛23503)","cot":[{"info":"⇉-⫰↹⩛4345=↹⩛32","layer":3},{"info":"↹⩛4350⪪↹⩛35450=↹⩛-3054211","layer":3},{"info":"↹⩛32⋹⋡⊁↹⩛-3054211=↹⩛-2410","layer":2},{"info":"⫡⇟⇯↹⩛5423=↹⩛23254","layer":3},{"info":"↹⩛15014≒∊↹⩛23503=↹⩛-12450","layer":3},{"info":"↹⩛23254⋅⇍↹⩛-12450=↹⩛-30051","layer":2},{"info":"↹⩛-2410⫯⪬∳↹⩛-30051=↹⩛5521","layer":1},{"info":"⪛⨧↹⩛5521=↹⩛30135","layer":0}]} +{"id":453,"expression_no_base_symbol":"((⊽($4456$⊴⇁⪶))⋥⋵⩄($1658$⨂≜$3982$)≁↽≥($3007$⊮⊟↴$3460$))⫿","expression":"((⊽(↹⩛32344⊴⇁⪶))⋥⋵⩄(↹⩛11402⨂≜↹⩛30234)≁↽≥(↹⩛21531⊮⊟↴↹⩛24004))⫿","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6418,"operation_count":7,"complexity_ratio":916.8571428571429,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":4456,"base":6}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1658,"base":6},"right_expr":{"type":"numeric_atoms","value":3982,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3007,"base":6},"right_expr":{"type":"numeric_atoms","value":3460,"base":6}}}}},"used_operators":["9tKT6PmtkH","7t3wd0Fuz7","QxG7OkqoLX","oo9mF6JIpo","ncHt1X6cMc","k1SHOSEABc","QDVgd2eftb"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4456","layer":4},{"info":"compute unary expreesion, input=4456, 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=90354","layer":3},{"info":"compute unary expreesion, input=90354, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=182230","layer":2},{"info":"number node, value=1658","layer":4},{"info":"number node, value=3982","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=3982, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3007","layer":4},{"info":"number node, value=3460","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=3460, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=182230, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⊽(↹⩛32344⊴⇁⪶))⋥⋵⩄(↹⩛11402⨂≜↹⩛30234)≁↽≥(↹⩛21531⊮⊟↴↹⩛24004))⫿=NaN","reverse_text":"NaN=((⊽(↹⩛32344⊴⇁⪶))⋥⋵⩄(↹⩛11402⨂≜↹⩛30234)≁↽≥(↹⩛21531⊮⊟↴↹⩛24004))⫿","cot":[{"info":"↹⩛32344⊴⇁⪶=↹⩛1534150","layer":3},{"info":"⊽↹⩛1534150=↹⩛3523354","layer":2},{"info":"↹⩛11402⨂≜↹⩛30234=NaN","layer":3},{"info":"↹⩛21531⊮⊟↴↹⩛24004=↹⩛0","layer":3},{"info":"NaN≁↽≥↹⩛0=↹⩛0","layer":2},{"info":"↹⩛3523354⋥⋵⩄↹⩛0=NaN","layer":1},{"info":"NaN⫿=NaN","layer":0}]} +{"id":454,"expression_no_base_symbol":"(($4201$⪮%⊝$1552$)≝⊿($3327$⫳≱↱$1958$))↹⊜(($4948$⊢$2671$)⊟⇱)⊴((⩦⊞($2946$⋻⩜⩜$3215$))⋷$1430$≁↽≥$2455$∠⫱$1677$⊉↱≁$2490$)","expression":"((↹⩛31241⪮%⊝↹⩛11104)≝⊿(↹⩛23223⫳≱↱↹⩛13022))↹⊜((↹⩛34524⊢↹⩛20211)⊟⇱)⊴((⩦⊞(↹⩛21350⋻⩜⩜↹⩛22515))⋷↹⩛10342≁↽≥↹⩛15211∠⫱↹⩛11433⊉↱≁↹⩛15310)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":76973,"operation_count":13,"complexity_ratio":5921.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4201,"base":6},"right_expr":{"type":"numeric_atoms","value":1552,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3327,"base":6},"right_expr":{"type":"numeric_atoms","value":1958,"base":6}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4948,"base":6},"right_expr":{"type":"numeric_atoms","value":2671,"base":6}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2946,"base":6},"right_expr":{"type":"numeric_atoms","value":3215,"base":6}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1430,"base":6},"right_expr":{"type":"numeric_atoms","value":2455,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1677,"base":6},"right_expr":{"type":"numeric_atoms","value":2490,"base":6}}}}},"used_operators":["Nsiff2A1zJ","9bazX3JMtO","OKKcZfAt5B","IWmyXbctLI","ZvLB05nZmT","03sUfWo75k","5twsqlHp2o","23Mk6UjR3U","u7fv1HBiaC","oDCm7WA9JY","QvoQhV0rrE","ncHt1X6cMc","w2P8NbNXyL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4201","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=4201, right_input=1552, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8718","layer":3},{"info":"number node, value=3327","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1958, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=8718, right_input=-204, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8843","layer":2},{"info":"number node, value=4948","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=4948, right_input=2671, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10140","layer":3},{"info":"compute unary expreesion, input=-10140, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-19964","layer":2},{"info":"compute binary expreesion, left_input=-8843, right_input=-19964, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=159616","layer":1},{"info":"number node, value=2946","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=3215, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5892","layer":3},{"info":"compute unary expreesion, input=5892, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5619","layer":2},{"info":"number node, value=1430","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=2455, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=31382","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=2490, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=716","layer":3},{"info":"compute binary expreesion, left_input=31382, right_input=716, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-5619, right_input=1234, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11238","layer":1},{"info":"compute binary expreesion, left_input=159616, right_input=11238, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛31241⪮%⊝↹⩛11104)≝⊿(↹⩛23223⫳≱↱↹⩛13022))↹⊜((↹⩛34524⊢↹⩛20211)⊟⇱)⊴((⩦⊞(↹⩛21350⋻⩜⩜↹⩛22515))⋷↹⩛10342≁↽≥↹⩛15211∠⫱↹⩛11433⊉↱≁↹⩛15310)=NaN","reverse_text":"NaN=((↹⩛31241⪮%⊝↹⩛11104)≝⊿(↹⩛23223⫳≱↱↹⩛13022))↹⊜((↹⩛34524⊢↹⩛20211)⊟⇱)⊴((⩦⊞(↹⩛21350⋻⩜⩜↹⩛22515))⋷↹⩛10342≁↽≥↹⩛15211∠⫱↹⩛11433⊉↱≁↹⩛15310)","cot":[{"info":"↹⩛31241⪮%⊝↹⩛11104=↹⩛104210","layer":3},{"info":"↹⩛23223⫳≱↱↹⩛13022=↹⩛-540","layer":3},{"info":"↹⩛104210≝⊿↹⩛-540=↹⩛-104535","layer":2},{"info":"↹⩛34524⊢↹⩛20211=↹⩛-114540","layer":3},{"info":"↹⩛-114540⊟⇱=↹⩛-232232","layer":2},{"info":"↹⩛-104535↹⊜↹⩛-232232=↹⩛3230544","layer":1},{"info":"↹⩛21350⋻⩜⩜↹⩛22515=↹⩛43140","layer":3},{"info":"⩦⊞↹⩛43140=↹⩛-42003","layer":2},{"info":"↹⩛10342≁↽≥↹⩛15211=↹⩛401142","layer":3},{"info":"↹⩛11433⊉↱≁↹⩛15310=↹⩛3152","layer":3},{"info":"↹⩛401142∠⫱↹⩛3152=↹⩛5414","layer":2},{"info":"↹⩛-42003⋷↹⩛5414=↹⩛124010","layer":1},{"info":"↹⩛3230544⊴↹⩛124010=NaN","layer":0}]} +{"id":455,"expression_no_base_symbol":"((↞≼$1497$)⨭⪣($1305$≥⨤⩑$9442$)⪎⩰)⊉↱≁(($3043$≀⫉$1699$)⫞⩸⩒(↞≼$3271$)*(($4249$≁$6781$)↦))","expression":"((↞≼↹⩛10533)⨭⪣(↹⩛10013≥⨤⩑↹⩛111414)⪎⩰)⊉↱≁((↹⩛22031≀⫉↹⩛11511)⫞⩸⩒(↞≼↹⩛23051)*((↹⩛31401≁↹⩛51221)↦))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":510434,"operation_count":11,"complexity_ratio":46403.09090909091,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1497,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1305,"base":6},"right_expr":{"type":"numeric_atoms","value":9442,"base":6}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3043,"base":6},"right_expr":{"type":"numeric_atoms","value":1699,"base":6}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3271,"base":6}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4249,"base":6},"right_expr":{"type":"numeric_atoms","value":6781,"base":6}}}}},"used_operators":["w2P8NbNXyL","2ufhKmSs5H","kn8WO9XteQ","DE7zCoGJt9","gJLn6v0xnP","9HNa5Wba9A","XGcMNugi78","oZj3VtZNQx","fFznvYxMfW","8N2wDY1A35"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=11562","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=9442","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=9442, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=11562, right_input=1234, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=10283","layer":2},{"info":"compute unary expreesion, input=10283, 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=3043","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=1699, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3271","layer":4},{"info":"compute unary expreesion, input=3271, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=25754","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=25754, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=25754","layer":2},{"info":"number node, value=4249","layer":4},{"info":"number node, value=6781","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=6781, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=149543","layer":3},{"info":"compute unary expreesion, input=149543, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=25754, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-34, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↞≼↹⩛10533)⨭⪣(↹⩛10013≥⨤⩑↹⩛111414)⪎⩰)⊉↱≁((↹⩛22031≀⫉↹⩛11511)⫞⩸⩒(↞≼↹⩛23051)*((↹⩛31401≁↹⩛51221)↦))=NaN","reverse_text":"NaN=((↞≼↹⩛10533)⨭⪣(↹⩛10013≥⨤⩑↹⩛111414)⪎⩰)⊉↱≁((↹⩛22031≀⫉↹⩛11511)⫞⩸⩒(↞≼↹⩛23051)*((↹⩛31401≁↹⩛51221)↦))","cot":[{"info":"↞≼↹⩛10533=↹⩛125310","layer":3},{"info":"↹⩛10013≥⨤⩑↹⩛111414=↹⩛5414","layer":3},{"info":"↹⩛125310⨭⪣↹⩛5414=↹⩛115335","layer":2},{"info":"↹⩛115335⪎⩰=↹⩛-54","layer":1},{"info":"↹⩛22031≀⫉↹⩛11511=↹⩛21022","layer":3},{"info":"↞≼↹⩛23051=↹⩛315122","layer":3},{"info":"↹⩛21022⫞⩸⩒↹⩛315122=↹⩛315122","layer":2},{"info":"↹⩛31401≁↹⩛51221=↹⩛3112155","layer":3},{"info":"↹⩛3112155↦=NaN","layer":2},{"info":"↹⩛315122*NaN=NaN","layer":1},{"info":"↹⩛-54⊉↱≁NaN=NaN","layer":0}]} +{"id":456,"expression_no_base_symbol":"⨆≐≲((($2413$⊴⇁⪶)⩱)⩨$1398$⇤$1066$⨎($2003$⫦⪉$2696$))","expression":"⨆≐≲(((↹⩛15101⊴⇁⪶)⩱)⩨↹⩛10250⇤↹⩛4534⨎(↹⩛13135⫦⪉↹⩛20252))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2682,"operation_count":7,"complexity_ratio":383.14285714285717,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2413,"base":6}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1398,"base":6},"right_expr":{"type":"numeric_atoms","value":1066,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2003,"base":6},"right_expr":{"type":"numeric_atoms","value":2696,"base":6}}}}},"used_operators":["Bi9z9uYZqW","2DlMacCsIx","uyq1hVkAcj","oo9mF6JIpo","rJVOvQCfKK","YSKBFp38Pu","wscyQdcy20"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"↹⩛-3112552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":4},{"info":"compute unary expreesion, input=2413, 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=45408","layer":3},{"info":"compute unary expreesion, input=45408, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-272698","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1066, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-9472","layer":3},{"info":"number node, value=2003","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=2696, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=894","layer":3},{"info":"compute binary expreesion, left_input=-9472, right_input=894, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=894","layer":2},{"info":"compute binary expreesion, left_input=-272698, right_input=894, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-149684","layer":0}],"base":6,"result_base":6,"text":"⨆≐≲(((↹⩛15101⊴⇁⪶)⩱)⩨↹⩛10250⇤↹⩛4534⨎(↹⩛13135⫦⪉↹⩛20252))=↹⩛-3112552","reverse_text":"↹⩛-3112552=⨆≐≲(((↹⩛15101⊴⇁⪶)⩱)⩨↹⩛10250⇤↹⩛4534⨎(↹⩛13135⫦⪉↹⩛20252))","cot":[{"info":"↹⩛15101⊴⇁⪶=↹⩛550120","layer":3},{"info":"↹⩛550120⩱=↹⩛-5502254","layer":2},{"info":"↹⩛10250⇤↹⩛4534=↹⩛-111504","layer":3},{"info":"↹⩛13135⫦⪉↹⩛20252=↹⩛4050","layer":3},{"info":"↹⩛-111504⨎↹⩛4050=↹⩛4050","layer":2},{"info":"↹⩛-5502254⩨↹⩛4050=↹⩛3","layer":1},{"info":"⨆≐≲↹⩛3=↹⩛-3112552","layer":0}]} +{"id":457,"expression_no_base_symbol":"(⨈⫕$1752$↳≱$5310$)↺($1382$⊬⫿⊭)≭$2511$⋾⨃∁$4782$⇼⇔∾((↨$1533$)⪣⫩)⩼⇪↪($4716$∴$3383$⊴($1617$⪡$6538$))","expression":"(⨈⫕↹⩛12040↳≱↹⩛40330)↺(↹⩛10222⊬⫿⊭)≭↹⩛15343⋾⨃∁↹⩛34050⇼⇔∾((↨↹⩛11033)⪣⫩)⩼⇪↪(↹⩛33500∴↹⩛23355⊴(↹⩛11253⪡↹⩛50134))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7009,"operation_count":13,"complexity_ratio":539.1538461538462,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1752,"base":6},"right_expr":{"type":"numeric_atoms","value":5310,"base":6}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1382,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2511,"base":6},"right_expr":{"type":"numeric_atoms","value":4782,"base":6}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1533,"base":6}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4716,"base":6},"right_expr":{"type":"numeric_atoms","value":3383,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1617,"base":6},"right_expr":{"type":"numeric_atoms","value":6538,"base":6}}}}},"used_operators":["tifHPKVTfV","7j4O788W3g","megm06wKyl","JwTKLfZU96","rxpJgHHUmx","v0DYgG9ikt","212REbPD9h","ocnLzx9CaJ","iuk5sVOGFA","jiX4gk2v2Q","Nsiff2A1zJ","hrf7POJlIJ","oraRL2iQuh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","oZj3VtZNQx","dWAJyo7jo9","14qkJME0vr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1752","layer":4},{"info":"number node, value=5310","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=5310, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-4146","layer":3},{"info":"number node, value=2511","layer":4},{"info":"number node, value=4782","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=4782, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=228617762","layer":3},{"info":"compute binary expreesion, left_input=-4146, right_input=228617762, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"number node, value=4716","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=4716, right_input=3383, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11080","layer":3},{"info":"number node, value=1617","layer":4},{"info":"number node, value=6538","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=6538, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=11080, right_input=107, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨈⫕↹⩛12040↳≱↹⩛40330)↺(↹⩛10222⊬⫿⊭)≭↹⩛15343⋾⨃∁↹⩛34050⇼⇔∾((↨↹⩛11033)⪣⫩)⩼⇪↪(↹⩛33500∴↹⩛23355⊴(↹⩛11253⪡↹⩛50134))=NaN","reverse_text":"NaN=(⨈⫕↹⩛12040↳≱↹⩛40330)↺(↹⩛10222⊬⫿⊭)≭↹⩛15343⋾⨃∁↹⩛34050⇼⇔∾((↨↹⩛11033)⪣⫩)⩼⇪↪(↹⩛33500∴↹⩛23355⊴(↹⩛11253⪡↹⩛50134))","cot":[{"info":"↹⩛12040↳≱↹⩛40330=↹⩛0","layer":3},{"info":"⨈⫕↹⩛0=↹⩛-33","layer":2},{"info":"↹⩛10222⊬⫿⊭=↹⩛-31110","layer":3},{"info":"↹⩛15343⋾⨃∁↹⩛34050=↹⩛34404023322","layer":3},{"info":"↹⩛-31110≭↹⩛34404023322=NaN","layer":2},{"info":"↹⩛-33↺NaN=NaN","layer":1},{"info":"↨↹⩛11033=NaN","layer":3},{"info":"NaN⪣⫩=↹⩛4121","layer":2},{"info":"↹⩛33500∴↹⩛23355=↹⩛123144","layer":3},{"info":"↹⩛11253⪡↹⩛50134=↹⩛255","layer":3},{"info":"↹⩛123144⊴↹⩛255=NaN","layer":2},{"info":"↹⩛4121⩼⇪↪NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]} +{"id":458,"expression_no_base_symbol":"(($1643$⪔$2121$)⨫⇇↔(⪓⩚$5509$)+($3237$⫞⩸⩒$1808$∴≳≥))∐⫣","expression":"((↹⩛11335⪔↹⩛13453)⨫⇇↔(⪓⩚↹⩛41301)+(↹⩛22553⫞⩸⩒↹⩛12212∴≳≥))∐⫣","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5627,"operation_count":7,"complexity_ratio":803.8571428571429,"tree":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1643,"base":6},"right_expr":{"type":"numeric_atoms","value":2121,"base":6}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5509,"base":6}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3237,"base":6},"right_expr":{"type":"numeric_atoms","value":1808,"base":6}}}}},"used_operators":["4CyGpkTkEk","W4YGzv6Whe","LXhwmt4mBO","GjBEYRfMaF","u0R0Locfp2","a3N2hFLK0J","XGcMNugi78"],"dependent_operators":["XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"↹⩛2315","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1643","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=2121, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5509","layer":4},{"info":"compute unary expreesion, input=5509, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=426, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=3237","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=1808, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1808","layer":3},{"info":"compute unary expreesion, input=1808, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=7232","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=7232, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6705","layer":1},{"info":"compute unary expreesion, input=6705, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11335⪔↹⩛13453)⨫⇇↔(⪓⩚↹⩛41301)+(↹⩛22553⫞⩸⩒↹⩛12212∴≳≥))∐⫣=↹⩛2315","reverse_text":"↹⩛2315=((↹⩛11335⪔↹⩛13453)⨫⇇↔(⪓⩚↹⩛41301)+(↹⩛22553⫞⩸⩒↹⩛12212∴≳≥))∐⫣","cot":[{"info":"↹⩛11335⪔↹⩛13453=↹⩛2030","layer":3},{"info":"⪓⩚↹⩛41301=↹⩛1550","layer":3},{"info":"↹⩛2030⨫⇇↔↹⩛1550=↹⩛-2235","layer":2},{"info":"↹⩛22553⫞⩸⩒↹⩛12212=↹⩛12212","layer":3},{"info":"↹⩛12212∴≳≥=↹⩛53252","layer":2},{"info":"↹⩛-2235+↹⩛53252=↹⩛51013","layer":1},{"info":"↹⩛51013∐⫣=↹⩛2315","layer":0}]} +{"id":459,"expression_no_base_symbol":"⪭⩑⪱(⨴⫝$4271$≴⪞⇿$9313$∛($1125$⇋≉))","expression":"⪭⩑⪱(⨴⫝↹⩛31435≴⪞⇿↹⩛111041∛(↹⩛5113⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6773,"operation_count":5,"complexity_ratio":1354.6,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4271,"base":6},"right_expr":{"type":"numeric_atoms","value":9313,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1125,"base":6}}}}},"used_operators":["SIgE0bArFf","SVb2v531z1","w2537kitQq","lvlrscuwVU","XIabStNQrY"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4271","layer":4},{"info":"number node, value=9313","layer":4},{"info":"compute binary expreesion, left_input=4271, right_input=9313, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=31968242","layer":3},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2152","layer":3},{"info":"compute binary expreesion, left_input=31968242, right_input=2152, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, 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 = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⪭⩑⪱(⨴⫝↹⩛31435≴⪞⇿↹⩛111041∛(↹⩛5113⇋≉))=↹⩛454202000","reverse_text":"↹⩛454202000=⪭⩑⪱(⨴⫝↹⩛31435≴⪞⇿↹⩛111041∛(↹⩛5113⇋≉))","cot":[{"info":"↹⩛31435≴⪞⇿↹⩛111041=↹⩛3101105042","layer":3},{"info":"↹⩛5113⇋≉=↹⩛13544","layer":3},{"info":"↹⩛3101105042∛↹⩛13544=↹⩛-3034","layer":2},{"info":"⨴⫝↹⩛-3034=↹⩛140341302","layer":1},{"info":"⪭⩑⪱↹⩛140341302=↹⩛454202000","layer":0}]} +{"id":460,"expression_no_base_symbol":"⫇(≯($2350$⨼⩣$1382$)⨸($9401$⋾⨃∁$5145$))","expression":"⫇(≯(↹⩛14514⨼⩣↹⩛10222)⨸(↹⩛111305⋾⨃∁↹⩛35453))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5673,"operation_count":5,"complexity_ratio":1134.6,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2350,"base":6},"right_expr":{"type":"numeric_atoms","value":1382,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":9401,"base":6},"right_expr":{"type":"numeric_atoms","value":5145,"base":6}}}}},"used_operators":["YjI8oCXuph","keWfFq85dY","KmoU8R5UQR","JxwMv5le6e","212REbPD9h"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","g55IO6H4Gj","JLbD19bQDL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2350","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1382, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=9401","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=9401, right_input=5145, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=264648416","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=264648416, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫇(≯(↹⩛14514⨼⩣↹⩛10222)⨸(↹⩛111305⋾⨃∁↹⩛35453))=NaN","reverse_text":"NaN=⫇(≯(↹⩛14514⨼⩣↹⩛10222)⨸(↹⩛111305⋾⨃∁↹⩛35453))","cot":[{"info":"↹⩛14514⨼⩣↹⩛10222=NaN","layer":3},{"info":"↹⩛111305⋾⨃∁↹⩛35453=↹⩛42132200052","layer":3},{"info":"NaN⨸↹⩛42132200052=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"⫇NaN=NaN","layer":0}]} +{"id":461,"expression_no_base_symbol":"((⊲⪭$3853$)∐⫣)∥⊢⊲(($1097$≑≱⪘)+⪬∐$5168$⊉↱≁$2315$)↱(⇋↷((≘$1630$)⪍↜⋙($6860$⇼⇔∾$6262$)))","expression":"((⊲⪭↹⩛25501)∐⫣)∥⊢⊲((↹⩛5025≑≱⪘)+⪬∐↹⩛35532⊉↱≁↹⩛14415)↱(⇋↷((≘↹⩛11314)⪍↜⋙(↹⩛51432⇼⇔∾↹⩛44554)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":430,"operation_count":11,"complexity_ratio":39.09090909090909,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3853,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1097,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5168,"base":6},"right_expr":{"type":"numeric_atoms","value":2315,"base":6}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1630,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6860,"base":6},"right_expr":{"type":"numeric_atoms","value":6262,"base":6}}}}},"used_operators":["SR5kFfdi6N","v1UQAVDJRr","4CyGpkTkEk","k7HXdKtiEU","2GS7woTJqF","tGSeddj7UK","w2P8NbNXyL","SWo3A1KBJH","L05ObWFQCd","tcjXMdvYtA","tifHPKVTfV"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","EBcxylXtPf","rGHVDoGpnC","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","i8ToyICDmI","xUOZtlo3hN","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-25043032410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3853","layer":4},{"info":"compute unary expreesion, input=3853, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4027","layer":3},{"info":"compute unary expreesion, input=-4027, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, 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=24887","layer":3},{"info":"number node, value=5168","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=2315, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=37738","layer":3},{"info":"compute binary expreesion, left_input=24887, right_input=37738, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-74661","layer":2},{"info":"compute binary expreesion, left_input=551, right_input=-74661, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3594934","layer":3},{"info":"number node, value=6860","layer":4},{"info":"number node, value=6262","layer":4},{"info":"compute binary expreesion, left_input=6860, right_input=6262, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-598","layer":3},{"info":"compute binary expreesion, left_input=3594934, right_input=-598, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=7191064","layer":2},{"info":"compute unary expreesion, input=7191064, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=57528512","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=57528512, 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=-172585014","layer":0}],"base":6,"result_base":6,"text":"((⊲⪭↹⩛25501)∐⫣)∥⊢⊲((↹⩛5025≑≱⪘)+⪬∐↹⩛35532⊉↱≁↹⩛14415)↱(⇋↷((≘↹⩛11314)⪍↜⋙(↹⩛51432⇼⇔∾↹⩛44554)))=↹⩛-25043032410","reverse_text":"↹⩛-25043032410=((⊲⪭↹⩛25501)∐⫣)∥⊢⊲((↹⩛5025≑≱⪘)+⪬∐↹⩛35532⊉↱≁↹⩛14415)↱(⇋↷((≘↹⩛11314)⪍↜⋙(↹⩛51432⇼⇔∾↹⩛44554)))","cot":[{"info":"⊲⪭↹⩛25501=↹⩛-30351","layer":3},{"info":"↹⩛-30351∐⫣=↹⩛2315","layer":2},{"info":"↹⩛5025≑≱⪘=↹⩛311115","layer":3},{"info":"↹⩛35532⊉↱≁↹⩛14415=↹⩛450414","layer":3},{"info":"↹⩛311115+⪬∐↹⩛450414=↹⩛-1333353","layer":2},{"info":"↹⩛2315∥⊢⊲↹⩛-1333353=NaN","layer":1},{"info":"≘↹⩛11314=↹⩛205015114","layer":3},{"info":"↹⩛51432⇼⇔∾↹⩛44554=↹⩛-2434","layer":3},{"info":"↹⩛205015114⪍↜⋙↹⩛-2434=↹⩛414043544","layer":2},{"info":"⇋↷↹⩛414043544=↹⩛5413011412","layer":1},{"info":"NaN↱↹⩛5413011412=↹⩛-25043032410","layer":0}]} +{"id":462,"expression_no_base_symbol":"⋗⩬⋾(($2387$≒∊$1307$)∛($7464$⨓$1219$))⩦(⋼∭⪍$3119$≴⪞⇿$1782$)","expression":"⋗⩬⋾((↹⩛15015≒∊↹⩛10015)∛(↹⩛54320⨓↹⩛5351))⩦(⋼∭⪍↹⩛22235≴⪞⇿↹⩛12130)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4191,"operation_count":7,"complexity_ratio":598.7142857142857,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2387,"base":6},"right_expr":{"type":"numeric_atoms","value":1307,"base":6}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7464,"base":6},"right_expr":{"type":"numeric_atoms","value":1219,"base":6}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3119,"base":6},"right_expr":{"type":"numeric_atoms","value":1782,"base":6}}}}},"used_operators":["DpFCA1CohY","0kmYd0q39Y","w2537kitQq","5KTvxBwnZo","3ViojmjbAp","DbCuESL50I","lvlrscuwVU"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛-1510","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=1307, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1903","layer":3},{"info":"number node, value=7464","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=7464, right_input=1219, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1222","layer":3},{"info":"compute binary expreesion, left_input=-1903, right_input=-1222, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3119","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=1782, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=16199666","layer":3},{"info":"compute unary expreesion, input=16199666, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-64796924","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-64796924, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-402","layer":0}],"base":6,"result_base":6,"text":"⋗⩬⋾((↹⩛15015≒∊↹⩛10015)∛(↹⩛54320⨓↹⩛5351))⩦(⋼∭⪍↹⩛22235≴⪞⇿↹⩛12130)=↹⩛-1510","reverse_text":"↹⩛-1510=⋗⩬⋾((↹⩛15015≒∊↹⩛10015)∛(↹⩛54320⨓↹⩛5351))⩦(⋼∭⪍↹⩛22235≴⪞⇿↹⩛12130)","cot":[{"info":"↹⩛15015≒∊↹⩛10015=↹⩛-12451","layer":3},{"info":"↹⩛54320⨓↹⩛5351=↹⩛-5354","layer":3},{"info":"↹⩛-12451∛↹⩛-5354=↹⩛151","layer":2},{"info":"↹⩛22235≴⪞⇿↹⩛12130=↹⩛1335114242","layer":3},{"info":"⋼∭⪍↹⩛1335114242=↹⩛-10232453432","layer":2},{"info":"↹⩛151⩦↹⩛-10232453432=↹⩛342","layer":1},{"info":"⋗⩬⋾↹⩛342=↹⩛-1510","layer":0}]} +{"id":463,"expression_no_base_symbol":"(($1368$/$1150$)⋓$6392$≌$6383$↱($4431$⨵⪆$3204$)⋕⪉⪜$1193$⨑⩅≇$1711$)↡⊰⫅(⊊≼∋(($4522$⨐⩸⫘$4304$)∓⋝(⊁⨺$4050$)))","expression":"((↹⩛10200/↹⩛5154)⋓↹⩛45332≌↹⩛45315↱(↹⩛32303⨵⪆↹⩛22500)⋕⪉⪜↹⩛5305⨑⩅≇↹⩛11531)↡⊰⫅(⊊≼∋((↹⩛32534⨐⩸⫘↹⩛31532)∓⋝(⊁⨺↹⩛30430)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14772,"operation_count":12,"complexity_ratio":1231.0,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1368,"base":6},"right_expr":{"type":"numeric_atoms","value":1150,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":6392,"base":6},"right_expr":{"type":"numeric_atoms","value":6383,"base":6}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4431,"base":6},"right_expr":{"type":"numeric_atoms","value":3204,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1193,"base":6},"right_expr":{"type":"numeric_atoms","value":1711,"base":6}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4522,"base":6},"right_expr":{"type":"numeric_atoms","value":4304,"base":6}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4050,"base":6}}}}},"used_operators":["VCtxkLNOzz","SR5kFfdi6N","T2fj7uvVaJ","XhwjNDsVaA","lyWz822IDG","z6LnFrNh4i","2DQ55sFlQl","h92wMvzauj","FWz7pXsQhA","PoHhknlbAi","fu6greOZ01","PxiHyQbrIp"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","jCPkEVoL5K","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","3ViojmjbAp","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1368","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1150, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=6392","layer":4},{"info":"number node, value=6383","layer":4},{"info":"compute binary expreesion, left_input=6392, right_input=6383, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"number node, value=4431","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=3204, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=1711, 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=-3579","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3579, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-7884","layer":1},{"info":"number node, value=4522","layer":4},{"info":"number node, value=4304","layer":4},{"info":"compute binary expreesion, left_input=4522, right_input=4304, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, 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=-7884, right_input=-447, 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":6,"result_base":6,"text":"((↹⩛10200/↹⩛5154)⋓↹⩛45332≌↹⩛45315↱(↹⩛32303⨵⪆↹⩛22500)⋕⪉⪜↹⩛5305⨑⩅≇↹⩛11531)↡⊰⫅(⊊≼∋((↹⩛32534⨐⩸⫘↹⩛31532)∓⋝(⊁⨺↹⩛30430)))=NaN","reverse_text":"NaN=((↹⩛10200/↹⩛5154)⋓↹⩛45332≌↹⩛45315↱(↹⩛32303⨵⪆↹⩛22500)⋕⪉⪜↹⩛5305⨑⩅≇↹⩛11531)↡⊰⫅(⊊≼∋((↹⩛32534⨐⩸⫘↹⩛31532)∓⋝(⊁⨺↹⩛30430)))","cot":[{"info":"↹⩛10200/↹⩛5154=↹⩛1","layer":3},{"info":"↹⩛45332≌↹⩛45315=NaN","layer":3},{"info":"↹⩛1⋓NaN=NaN","layer":2},{"info":"↹⩛32303⨵⪆↹⩛22500=↹⩛424","layer":3},{"info":"↹⩛5305⨑⩅≇↹⩛11531=↹⩛-24323","layer":3},{"info":"↹⩛424⋕⪉⪜↹⩛-24323=↹⩛20550","layer":2},{"info":"NaN↱↹⩛20550=↹⩛-100300","layer":1},{"info":"↹⩛32534⨐⩸⫘↹⩛31532=NaN","layer":3},{"info":"⊁⨺↹⩛30430=↹⩛424","layer":3},{"info":"NaN∓⋝↹⩛424=↹⩛151","layer":2},{"info":"⊊≼∋↹⩛151=↹⩛-2023","layer":1},{"info":"↹⩛-100300↡⊰⫅↹⩛-2023=NaN","layer":0}]} +{"id":464,"expression_no_base_symbol":"∡(($1238$⪛$5104$↪⪝)↯⫤)","expression":"∡((↹⩛5422⪛↹⩛35344↪⪝)↯⫤)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":729,"operation_count":4,"complexity_ratio":182.25,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1238,"base":6},"right_expr":{"type":"numeric_atoms","value":5104,"base":6}}}}},"used_operators":["pRsWfj4Fpp","VwlE7vj6HS","l07mrZUIn9","uFcxV4UQCh"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=5104, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1238","layer":3},{"info":"compute unary expreesion, input=1238, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=75743316","layer":2},{"info":"compute unary expreesion, input=75743316, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"∡((↹⩛5422⪛↹⩛35344↪⪝)↯⫤)=↹⩛0","reverse_text":"↹⩛0=∡((↹⩛5422⪛↹⩛35344↪⪝)↯⫤)","cot":[{"info":"↹⩛5422⪛↹⩛35344=↹⩛5422","layer":3},{"info":"↹⩛5422↪⪝=↹⩛11303235300","layer":2},{"info":"↹⩛11303235300↯⫤=↹⩛0","layer":1},{"info":"∡↹⩛0=↹⩛0","layer":0}]} +{"id":465,"expression_no_base_symbol":"(↸⊣($4020$+⇶⊼$9161$⇉⇉))⫠↝⫳","expression":"(↸⊣(↹⩛30340+⇶⊼↹⩛110225⇉⇉))⫠↝⫳","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":87,"operation_count":4,"complexity_ratio":21.75,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4020,"base":6},"right_expr":{"type":"numeric_atoms","value":9161,"base":6}}}}},"used_operators":["8n5YIzOsVS","wztAlM01eG","diKm42VcIt","TpPTUOHfaN"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4020","layer":4},{"info":"number node, value=9161","layer":4},{"info":"compute binary expreesion, left_input=4020, right_input=9161, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↸⊣(↹⩛30340+⇶⊼↹⩛110225⇉⇉))⫠↝⫳=NaN","reverse_text":"NaN=(↸⊣(↹⩛30340+⇶⊼↹⩛110225⇉⇉))⫠↝⫳","cot":[{"info":"↹⩛30340+⇶⊼↹⩛110225=NaN","layer":3},{"info":"NaN⇉⇉=NaN","layer":2},{"info":"↸⊣NaN=NaN","layer":1},{"info":"NaN⫠↝⫳=NaN","layer":0}]} +{"id":466,"expression_no_base_symbol":"⊄⩳↩(∨∊⋏(⨵($2230$*$4790$)))","expression":"⊄⩳↩(∨∊⋏(⨵(↹⩛14154*↹⩛34102)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":286270,"operation_count":4,"complexity_ratio":71567.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2230,"base":6},"right_expr":{"type":"numeric_atoms","value":4790,"base":6}}}}},"used_operators":["8w2t5hMYqp","R5aXW34M0v","Tl3Y52tvF8","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe"],"result":"Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2230","layer":4},{"info":"number node, value=4790","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=4790, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10681700","layer":3},{"info":"compute unary expreesion, input=10681700, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-85454809","layer":2},{"info":"compute unary expreesion, input=-85454809, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=inf","layer":0}],"base":6,"result_base":6,"text":"⊄⩳↩(∨∊⋏(⨵(↹⩛14154*↹⩛34102)))=Inf","reverse_text":"Inf=⊄⩳↩(∨∊⋏(⨵(↹⩛14154*↹⩛34102)))","cot":[{"info":"↹⩛14154*↹⩛34102=↹⩛1020540152","layer":3},{"info":"⨵↹⩛1020540152=↹⩛-12251332041","layer":2},{"info":"∨∊⋏↹⩛-12251332041=-Inf","layer":1},{"info":"⊄⩳↩-Inf=Inf","layer":0}]} +{"id":467,"expression_no_base_symbol":"((($8652$∙∹∝$1916$)↼⊘⨖($1604$⫰⋱$2616$))⫏⊷)⊔(∜⨇($1601$≁$2097$⪉⨛$3170$⪬$5460$))","expression":"(((↹⩛104020∙∹∝↹⩛12512)↼⊘⨖(↹⩛11232⫰⋱↹⩛20040))⫏⊷)⊔(∜⨇(↹⩛11225≁↹⩛13413⪉⨛↹⩛22402⪬↹⩛41140))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11021,"operation_count":9,"complexity_ratio":1224.5555555555557,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":8652,"base":6},"right_expr":{"type":"numeric_atoms","value":1916,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1604,"base":6},"right_expr":{"type":"numeric_atoms","value":2616,"base":6}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1601,"base":6},"right_expr":{"type":"numeric_atoms","value":2097,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3170,"base":6},"right_expr":{"type":"numeric_atoms","value":5460,"base":6}}}}},"used_operators":["E4l6HwMY31","dcShxvzhyw","bPywburJMS","HmxsFra2vL","6o9Blt3TJ6","uFPyJr306J","EWw2JM7wp4","8N2wDY1A35","Ez1Nq5fNfI"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8652","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=8652, right_input=1916, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=2616, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1571","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1571, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-3364","layer":2},{"info":"compute unary expreesion, input=-3364, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":1},{"info":"number node, value=1601","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=2097, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=37127","layer":3},{"info":"number node, value=3170","layer":4},{"info":"number node, value=5460","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=5460, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=37127, right_input=1234, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=110362","layer":2},{"info":"compute unary expreesion, input=110362, 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=-818, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛104020∙∹∝↹⩛12512)↼⊘⨖(↹⩛11232⫰⋱↹⩛20040))⫏⊷)⊔(∜⨇(↹⩛11225≁↹⩛13413⪉⨛↹⩛22402⪬↹⩛41140))=NaN","reverse_text":"NaN=(((↹⩛104020∙∹∝↹⩛12512)↼⊘⨖(↹⩛11232⫰⋱↹⩛20040))⫏⊷)⊔(∜⨇(↹⩛11225≁↹⩛13413⪉⨛↹⩛22402⪬↹⩛41140))","cot":[{"info":"↹⩛104020∙∹∝↹⩛12512=↹⩛0","layer":3},{"info":"↹⩛11232⫰⋱↹⩛20040=↹⩛-11135","layer":3},{"info":"↹⩛0↼⊘⨖↹⩛-11135=↹⩛-23324","layer":2},{"info":"↹⩛-23324⫏⊷=↹⩛-3442","layer":1},{"info":"↹⩛11225≁↹⩛13413=↹⩛443515","layer":3},{"info":"↹⩛22402⪬↹⩛41140=↹⩛5414","layer":3},{"info":"↹⩛443515⪉⨛↹⩛5414=↹⩛2210534","layer":2},{"info":"∜⨇↹⩛2210534=NaN","layer":1},{"info":"↹⩛-3442⊔NaN=NaN","layer":0}]} +{"id":468,"expression_no_base_symbol":"($3209$⪬$1791$⨻⩈⩔$7554$∋$2352$⇄(⨞⊢$4943$⇴$3865$))∴≳≥","expression":"(↹⩛22505⪬↹⩛12143⨻⩈⩔↹⩛54550∋↹⩛14520⇄(⨞⊢↹⩛34515⇴↹⩛25521))∴≳≥","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":815,"operation_count":7,"complexity_ratio":116.42857142857143,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3209,"base":6},"right_expr":{"type":"numeric_atoms","value":1791,"base":6}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":7554,"base":6},"right_expr":{"type":"numeric_atoms","value":2352,"base":6}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4943,"base":6},"right_expr":{"type":"numeric_atoms","value":3865,"base":6}}}}},"used_operators":["a3N2hFLK0J","3EYGwJThht","nEsXyWgiOK","Ez1Nq5fNfI","ukq6epAj5P","xUOZtlo3hN","4JB6nKBMSY"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3209","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=1791, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=7554","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=7554, right_input=2352, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5212480","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=5212480, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=4943","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=4943, right_input=3865, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=37002","layer":3},{"info":"compute unary expreesion, input=37002, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-37176","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-37176, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22505⪬↹⩛12143⨻⩈⩔↹⩛54550∋↹⩛14520⇄(⨞⊢↹⩛34515⇴↹⩛25521))∴≳≥=↹⩛0","reverse_text":"↹⩛0=(↹⩛22505⪬↹⩛12143⨻⩈⩔↹⩛54550∋↹⩛14520⇄(⨞⊢↹⩛34515⇴↹⩛25521))∴≳≥","cot":[{"info":"↹⩛22505⪬↹⩛12143=↹⩛5414","layer":3},{"info":"↹⩛54550∋↹⩛14520=↹⩛303415504","layer":3},{"info":"↹⩛5414⨻⩈⩔↹⩛303415504=↹⩛-450","layer":2},{"info":"↹⩛34515⇴↹⩛25521=↹⩛443150","layer":3},{"info":"⨞⊢↹⩛443150=↹⩛-444040","layer":2},{"info":"↹⩛-450⇄↹⩛-444040=↹⩛0","layer":1},{"info":"↹⩛0∴≳≥=↹⩛0","layer":0}]} +{"id":469,"expression_no_base_symbol":"(⩎⋉((⨭⩧⫛$1482$)⨲))⨂≜((⇖($1906$↡⊰⫅$1223$))⫞⩸⩒($2149$∌$7082$≃(↘$5337$)))","expression":"(⩎⋉((⨭⩧⫛↹⩛10510)⨲))⨂≜((⇖(↹⩛12454↡⊰⫅↹⩛5355))⫞⩸⩒(↹⩛13541∌↹⩛52442≃(↘↹⩛40413)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49735,"operation_count":10,"complexity_ratio":4973.5,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1482,"base":6}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1906,"base":6},"right_expr":{"type":"numeric_atoms","value":1223,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2149,"base":6},"right_expr":{"type":"numeric_atoms","value":7082,"base":6}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5337,"base":6}}}}},"used_operators":["k1SHOSEABc","FlXk3pOYe8","nLYMGWM7L8","g21JL6JxX7","XGcMNugi78","tfWHHpNKUN","VCtxkLNOzz","YbVcJGFEVW","8cLx32lpNA","LdNpr8hQHL"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2DQ55sFlQl","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute unary expreesion, input=4683709, 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":"number node, value=1906","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=1223, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2446","layer":3},{"info":"compute unary expreesion, input=2446, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=2149","layer":4},{"info":"number node, value=7082","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=7082, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-7082","layer":3},{"info":"number node, value=5337","layer":4},{"info":"compute unary expreesion, input=5337, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=241","layer":3},{"info":"compute binary expreesion, left_input=-7082, right_input=241, 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=-2008","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-2008, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=160, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩎⋉((⨭⩧⫛↹⩛10510)⨲))⨂≜((⇖(↹⩛12454↡⊰⫅↹⩛5355))⫞⩸⩒(↹⩛13541∌↹⩛52442≃(↘↹⩛40413)))=NaN","reverse_text":"NaN=(⩎⋉((⨭⩧⫛↹⩛10510)⨲))⨂≜((⇖(↹⩛12454↡⊰⫅↹⩛5355))⫞⩸⩒(↹⩛13541∌↹���52442≃(↘↹⩛40413)))","cot":[{"info":"⨭⩧⫛↹⩛10510=NaN","layer":3},{"info":"NaN⨲=↹⩛244215501","layer":2},{"info":"⩎⋉↹⩛244215501=↹⩛11350","layer":1},{"info":"↹⩛12454↡⊰⫅↹⩛5355=↹⩛15154","layer":3},{"info":"⇖↹⩛15154=↹⩛424","layer":2},{"info":"↹⩛13541∌↹⩛52442=↹⩛-52442","layer":3},{"info":"↘↹⩛40413=↹⩛1041","layer":3},{"info":"↹⩛-52442≃↹⩛1041=↹⩛-13144","layer":2},{"info":"↹⩛424⫞⩸⩒↹⩛-13144=↹⩛424","layer":1},{"info":"↹⩛11350⨂≜↹⩛424=NaN","layer":0}]} +{"id":470,"expression_no_base_symbol":"($1407$∼$4073$)≁($4846$⫸⇳$1572$)∼((⨑⩽⪐$4909$)⊍⩺⋍$1986$⋕⪉⪜$1936$)⨑≵⋬(≀↧⇸($2715$⊹∫⫚$8012$))⪇≇⋚($1204$≳⇉$7073$⪨⊡$7597$⊕∕$4557$)","expression":"(↹⩛10303∼↹⩛30505)≁(↹⩛34234⫸⇳↹⩛11140)∼((⨑⩽⪐↹⩛34421)⊍⩺⋍↹⩛13110⋕⪉⪜↹⩛12544)⨑≵⋬(≀↧⇸(↹⩛20323⊹∫⫚↹⩛101032))⪇≇⋚(↹⩛5324≳⇉↹⩛52425⪨⊡↹⩛55101⊕∕↹⩛33033)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14644,"operation_count":14,"complexity_ratio":1046.0,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1407,"base":6},"right_expr":{"type":"numeric_atoms","value":4073,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4846,"base":6},"right_expr":{"type":"numeric_atoms","value":1572,"base":6}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4909,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1986,"base":6},"right_expr":{"type":"numeric_atoms","value":1936,"base":6}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2715,"base":6},"right_expr":{"type":"numeric_atoms","value":8012,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1204,"base":6},"right_expr":{"type":"numeric_atoms","value":7073,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":7597,"base":6},"right_expr":{"type":"numeric_atoms","value":4557,"base":6}}}}},"used_operators":["XnXgA4xnOs","DyGG3AbaNP","8N2wDY1A35","gx7XJ7hdpj","OXDGMFPWZM","AF7qkfDlqP","z6LnFrNh4i","3sJ7IOPOlU","ljTHtUsqzn","uWAJUKEvyW","kuIXHzHcAH","V0kx6qeWkN","9cloC0Ngie"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XPYlsWDdGa","23Mk6UjR3U","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1407","layer":4},{"info":"number node, value=4073","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=4073, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4846","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=1572, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=4909","layer":4},{"info":"compute unary expreesion, input=4909, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4636","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=1936, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉���b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-4636, right_input=2802, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2715","layer":4},{"info":"number node, value=8012","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=8012, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-28","layer":3},{"info":"compute unary expreesion, input=-28, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=112","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=7073","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=7073, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=7597","layer":4},{"info":"number node, value=4557","layer":4},{"info":"compute binary expreesion, left_input=7597, right_input=4557, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7597","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7597, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=112, right_input=nan, 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 = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10303∼↹⩛30505)≁(↹⩛34234⫸⇳↹⩛11140)∼((⨑⩽⪐↹⩛34421)⊍⩺⋍↹⩛13110⋕⪉⪜↹⩛12544)⨑≵⋬(≀↧⇸(↹⩛20323⊹∫⫚↹⩛101032))⪇≇⋚(↹⩛5324≳⇉↹⩛52425⪨⊡↹⩛55101⊕∕↹⩛33033)=NaN","reverse_text":"NaN=(↹⩛10303∼↹⩛30505)≁(↹⩛34234⫸⇳↹⩛11140)∼((⨑⩽⪐↹⩛34421)⊍⩺⋍↹⩛13110⋕⪉⪜↹⩛12544)⨑≵⋬(≀↧⇸(↹⩛20323⊹∫⫚↹⩛101032))⪇≇⋚(↹⩛5324≳⇉↹⩛52425⪨⊡↹⩛55101⊕∕↹⩛33033)","cot":[{"info":"↹⩛10303∼↹⩛30505=NaN","layer":3},{"info":"↹⩛34234⫸⇳↹⩛11140=↹⩛0","layer":3},{"info":"NaN≁↹⩛0=NaN","layer":2},{"info":"⨑⩽⪐↹⩛34421=↹⩛-33244","layer":3},{"info":"↹⩛13110⋕⪉⪜↹⩛12544=↹⩛20550","layer":3},{"info":"↹⩛-33244⊍⩺⋍↹⩛20550=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"↹⩛20323⊹∫⫚↹⩛101032=↹⩛-44","layer":3},{"info":"≀↧⇸↹⩛-44=↹⩛304","layer":2},{"info":"↹⩛5324≳⇉↹⩛52425=NaN","layer":3},{"info":"↹⩛55101⊕∕↹⩛33033=↹⩛55101","layer":3},{"info":"NaN⪨⊡↹⩛55101=NaN","layer":2},{"info":"↹⩛304⪇≇⋚NaN=↹⩛0","layer":1},{"info":"NaN⨑≵⋬↹⩛0=NaN","layer":0}]} +{"id":471,"expression_no_base_symbol":"⊬↢(($4797$≁↽≥$5692$⩹$3587$⋳⪒$2647$)⪄(⩷⨜⫀($4954$↺$1817$)))","expression":"⊬↢((↹⩛34113≁↽≥↹⩛42204⩹↹⩛24335⋳⪒↹⩛20131)⪄(⩷⨜⫀(↹⩛34534↺↹⩛12225)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2823,"operation_count":7,"complexity_ratio":403.2857142857143,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4797,"base":6},"right_expr":{"type":"numeric_atoms","value":5692,"base":6}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3587,"base":6},"right_expr":{"type":"numeric_atoms","value":2647,"base":6}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4954,"base":6},"right_expr":{"type":"numeric_atoms","value":1817,"base":6}}}}},"used_operators":["WPoGxAaPR1","SUmda5xLS4","2Wsdkap16l","ncHt1X6cMc","12rbrZMWeM","CDi0ktkjQ4","7j4O788W3g"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4797","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=4797, right_input=5692, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=81887","layer":3},{"info":"number node, value=3587","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=2647, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4240","layer":3},{"info":"compute binary expreesion, left_input=81887, right_input=4240, 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=4238","layer":2},{"info":"number node, value=4954","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=1817, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1817","layer":3},{"info":"compute unary expreesion, input=1817, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1544","layer":2},{"info":"compute binary expreesion, left_input=4238, right_input=-1544, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-617137","layer":1},{"info":"compute unary expreesion, input=-617137, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":0}],"base":6,"result_base":6,"text":"⊬↢((↹⩛34113≁↽≥↹⩛42204⩹↹⩛24335⋳⪒↹⩛20131)⪄(⩷⨜⫀(↹⩛34534↺↹⩛12225)))=↹⩛-131","reverse_text":"↹⩛-131=⊬↢((↹⩛34113≁↽≥↹⩛42204⩹↹⩛24335⋳⪒↹⩛20131)⪄(⩷⨜⫀(↹⩛34534↺↹⩛12225)))","cot":[{"info":"↹⩛34113≁↽≥↹⩛42204=↹⩛1431035","layer":3},{"info":"↹⩛24335⋳⪒↹⩛20131=↹⩛31344","layer":3},{"info":"↹⩛1431035⩹↹⩛31344=↹⩛31342","layer":2},{"info":"↹⩛34534↺↹⩛12225=↹⩛12225","layer":3},{"info":"⩷⨜⫀↹⩛12225=↹⩛-11052","layer":2},{"info":"↹⩛31342⪄↹⩛-11052=↹⩛-21121041","layer":1},{"info":"⊬↢↹⩛-21121041=↹⩛-131","layer":0}]} +{"id":472,"expression_no_base_symbol":"(($1067$≁↽≥$5525$⨚⇆($2273$⇮⋭$1070$))∘($2290$⊲⩕⊾$1820$)⩖⊿(∨∊⋏$3244$))⩣⫁∢(($9069$⫸⇳$3873$)⨸($3199$⪒$3719$)⫉⨲⊜(⩦⩻⨪$6066$)⫗⊷⫓($2974$⨚⇆$3911$))","expression":"((↹⩛4535≁↽≥↹⩛41325⨚⇆(↹⩛14305⇮⋭↹⩛4542))∘(↹⩛14334⊲⩕⊾↹⩛12232)⩖⊿(∨∊⋏↹⩛23004))⩣⫁∢((↹⩛105553⫸⇳↹⩛25533)⨸(↹⩛22451⪒↹⩛25115)⫉⨲⊜(⩦⩻⨪↹⩛44030)⫗⊷⫓(↹⩛21434⨚⇆↹⩛30035))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":203168,"operation_count":15,"complexity_ratio":13544.533333333333,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1067,"base":6},"right_expr":{"type":"numeric_atoms","value":5525,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2273,"base":6},"right_expr":{"type":"numeric_atoms","value":1070,"base":6}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2290,"base":6},"right_expr":{"type":"numeric_atoms","value":1820,"base":6}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3244,"base":6}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":9069,"base":6},"right_expr":{"type":"numeric_atoms","value":3873,"base":6}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3199,"base":6},"right_expr":{"type":"numeric_atoms","value":3719,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6066,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2974,"base":6},"right_expr":{"type":"numeric_atoms","value":3911,"base":6}}}}},"used_operators":["JDUIKTTSIa","Z5m6OM72h2","lwHaAYXP2r","ncHt1X6cMc","vkpjKywKVM","RZ5CV9rWsJ","DmTXOeWf9t","R5aXW34M0v","WhqkvtTD3t","KmoU8R5UQR","gx7XJ7hdpj","f6k1SAg4EE","zashukvMKz","2td37pGCOC"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","oWn0xqSxBt","3Oe9XWJUTD","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eewbuw0ToL","zVYPLywUTj","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=5525","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=5525, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25937","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=1070, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=25937, right_input=-473, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=2290","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=1820, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-51470","layer":3},{"info":"number node, value=3244","layer":4},{"info":"compute unary expreesion, input=3244, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=64655","layer":3},{"info":"compute binary expreesion, left_input=-51470, right_input=64655, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-127396","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-127396, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=9069","layer":4},{"info":"number node, value=3873","layer":4},{"info":"compute binary expreesion, left_input=9069, right_input=3873, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=3199","layer":4},{"info":"number node, value=3719","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=3719, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6918","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6918, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=-171962","layer":2},{"info":"number node, value=6066","layer":4},{"info":"compute unary expreesion, input=6066, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6066","layer":3},{"info":"number node, value=2974","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=3911, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6066, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-171962, right_input=-134, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4535≁↽≥↹⩛41325⨚⇆(↹⩛14305⇮⋭↹⩛4542))∘(↹⩛14334⊲⩕⊾↹⩛12232)⩖⊿(∨∊⋏↹⩛23004))⩣⫁∢((↹⩛105553⫸⇳↹⩛25533)⨸(↹⩛22451⪒↹⩛25115)⫉⨲⊜(⩦⩻⨪↹⩛44030)⫗⊷⫓(↹⩛21434⨚⇆↹⩛30035))=NaN","reverse_text":"NaN=((↹⩛4535≁↽≥↹⩛41325⨚⇆(↹⩛14305⇮⋭↹⩛4542))∘(↹⩛14334⊲⩕⊾↹⩛12232)⩖⊿(∨∊⋏↹⩛23004))⩣⫁∢((↹⩛105553⫸⇳↹⩛25533)⨸(↹⩛22451⪒↹⩛25115)⫉⨲⊜(⩦⩻⨪↹⩛44030)⫗⊷⫓(↹⩛21434⨚⇆↹⩛30035))","cot":[{"info":"↹⩛4535≁↽≥↹⩛41325=↹⩛320025","layer":3},{"info":"↹⩛14305⇮⋭↹⩛4542=↹⩛-2105","layer":3},{"info":"↹⩛320025⨚⇆↹⩛-2105=NaN","layer":2},{"info":"↹⩛14334⊲⩕⊾↹⩛12232=↹⩛-1034142","layer":3},{"info":"∨∊⋏↹⩛23004=↹⩛1215155","layer":3},{"info":"↹⩛-1034142⩖⊿↹⩛1215155=↹⩛-2421444","layer":2},{"info":"NaN∘↹⩛-2421444=NaN","layer":1},{"info":"↹⩛105553⫸⇳↹⩛25533=↹⩛0","layer":3},{"info":"↹⩛22451⪒↹⩛25115=↹⩛-52010","layer":3},{"info":"↹⩛0⨸↹⩛-52010=↹⩛-3404042","layer":2},{"info":"⩦⩻⨪↹⩛44030=↹⩛44030","layer":3},{"info":"↹⩛21434⨚⇆↹⩛30035=NaN","layer":3},{"info":"↹⩛44030⫗⊷⫓NaN=↹⩛-342","layer":2},{"info":"↹⩛-3404042⫉⨲⊜↹⩛-342=↹⩛-1044","layer":1},{"info":"NaN⩣⫁∢↹⩛-1044=NaN","layer":0}]} +{"id":473,"expression_no_base_symbol":"((⊬↢(⋗⩴⪓$2152$))%(⪡⇡≛($1537$∪⫐$1601$)))⋓(($2492$↳≱$4049$≬⋮$3827$⪮%⊝$2328$)⋓($3377$⨝⩣∺)⨿($1256$⨝⩣∺))","expression":"((⊬↢(⋗⩴⪓↹⩛13544))%(⪡⇡≛(↹⩛11041∪⫐↹⩛11225)))⋓((↹⩛15312↳≱↹⩛30425≬⋮↹⩛25415⪮%⊝↹⩛14440)⋓(↹⩛23345⨝⩣∺)⨿(↹⩛5452⨝⩣∺))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25714,"operation_count":13,"complexity_ratio":1978.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2152,"base":6}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1537,"base":6},"right_expr":{"type":"numeric_atoms","value":1601,"base":6}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2492,"base":6},"right_expr":{"type":"numeric_atoms","value":4049,"base":6}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3827,"base":6},"right_expr":{"type":"numeric_atoms","value":2328,"base":6}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3377,"base":6}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1256,"base":6}}}}},"used_operators":["T2fj7uvVaJ","k8jYdgA6NY","WPoGxAaPR1","nOKPl9n5zu","qL4PrbW1Dq","7YooWSwCyH","kbkesczE7y","JwTKLfZU96","IWmyXbctLI","abYXlopdE0","ancx8kZcWl"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1239","layer":3},{"info":"compute unary expreesion, input=-1239, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"number node, value=1537","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=1601, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1537","layer":3},{"info":"compute unary expreesion, input=1537, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1537","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-1537, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-55","layer":1},{"info":"number node, value=2492","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=4049, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3827","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=2328, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7970","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7970, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3377","layer":4},{"info":"compute unary expreesion, input=3377, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-6754","layer":3},{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2512","layer":3},{"info":"compute binary expreesion, left_input=-6754, right_input=-2512, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=67, 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=-55, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((⊬↢(⋗⩴⪓↹⩛13544))%(⪡⇡≛(↹⩛11041∪⫐↹⩛11225)))⋓((↹⩛15312↳≱↹⩛30425≬⋮↹⩛25415⪮%⊝↹⩛14440)⋓(↹⩛23345⨝⩣∺)⨿(↹⩛5452⨝⩣∺))=↹⩛0","reverse_text":"↹⩛0=((⊬↢(⋗⩴⪓↹⩛13544))%(⪡⇡≛(↹⩛11041∪⫐↹⩛11225)))⋓((↹⩛15312↳≱↹⩛30425≬⋮↹⩛25415⪮%⊝↹⩛14440)⋓(↹⩛23345⨝⩣∺)⨿(↹⩛5452⨝⩣∺))","cot":[{"info":"⋗⩴⪓↹⩛13544=↹⩛-5423","layer":3},{"info":"⊬↢↹⩛-5423=↹⩛-131","layer":2},{"info":"↹⩛11041∪⫐↹⩛11225=↹⩛11041","layer":3},{"info":"⪡⇡≛↹⩛11041=↹⩛-11041","layer":2},{"info":"↹⩛-131%↹⩛-11041=↹⩛-131","layer":1},{"info":"↹⩛15312↳≱↹⩛30425=↹⩛0","layer":3},{"info":"↹⩛25415⪮%⊝↹⩛14440=↹⩛100522","layer":3},{"info":"↹⩛0≬⋮↹⩛100522=↹⩛4004","layer":2},{"info":"↹⩛23345⨝⩣∺=↹⩛-51134","layer":3},{"info":"↹⩛5452⨝⩣∺=↹⩛-15344","layer":3},{"info":"↹⩛-51134⨿↹⩛-15344=↹⩛151","layer":2},{"info":"↹⩛4004⋓↹⩛151=↹⩛0","layer":1},{"info":"↹⩛-131⋓↹⩛0=↹⩛0","layer":0}]} +{"id":474,"expression_no_base_symbol":"(⋂($1600$⩢≌)⊴$3360$⨽∌$2567$)≹⇙⪍(($5210$⩧⪆$2925$)⇤($3651$⇪⋭)⫃⨇$5257$⇡⇂$2667$⨭⪣$1869$⋝⋈⪟$3965$)","expression":"(⋂(↹⩛11224⩢≌)⊴↹⩛23320⨽∌↹⩛15515)≹⇙⪍((↹⩛40042⩧⪆↹⩛21313)⇤(↹⩛24523⇪⋭)⫃⨇↹⩛40201⇡⇂↹⩛20203⨭⪣↹⩛12353⋝⋈⪟↹⩛30205)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14694,"operation_count":12,"complexity_ratio":1224.5,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1600,"base":6}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3360,"base":6},"right_expr":{"type":"numeric_atoms","value":2567,"base":6}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5210,"base":6},"right_expr":{"type":"numeric_atoms","value":2925,"base":6}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3651,"base":6}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5257,"base":6},"right_expr":{"type":"numeric_atoms","value":2667,"base":6}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1869,"base":6},"right_expr":{"type":"numeric_atoms","value":3965,"base":6}}}}},"used_operators":["AHs5Up7iyr","BUOGQAYlQx","Nsiff2A1zJ","D617RFjZIq","9samAPKr6k","09Ly4LVMIf","YSKBFp38Pu","Ikt5ks8PT7","Z8Yg6dlDSp","kn8WO9XteQ","UMwdvZNt44","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","dWAJyo7jo9","14qkJME0vr","hTbEZDJLEm","o20kRiQErp","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=3360","layer":4},{"info":"number node, value=2567","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=2567, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=1702","layer":1},{"info":"number node, value=5210","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=5210, right_input=2925, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2925","layer":3},{"info":"number node, value=3651","layer":4},{"info":"compute unary expreesion, input=3651, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2925, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=5257","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=5257, right_input=2667, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1869","layer":4},{"info":"number node, value=3965","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=3965, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1869","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1869, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1702, right_input=nan, 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":6,"result_base":6,"text":"(⋂(↹⩛11224⩢≌)⊴↹⩛23320⨽∌↹⩛15515)≹⇙⪍((↹⩛40042⩧⪆↹⩛21313)⇤(↹⩛24523⇪⋭)⫃⨇↹⩛40201⇡⇂↹⩛20203⨭⪣↹⩛12353⋝⋈⪟↹⩛30205)=NaN","reverse_text":"NaN=(⋂(↹⩛11224⩢≌)⊴↹⩛23320⨽∌↹⩛15515)≹⇙⪍((↹⩛40042⩧⪆↹⩛21313)⇤(↹⩛24523⇪⋭)⫃⨇↹⩛40201⇡⇂↹⩛20203⨭⪣↹⩛12353⋝⋈⪟↹⩛30205)","cot":[{"info":"↹⩛11224⩢≌=↹⩛305","layer":3},{"info":"↹⩛23320⨽∌↹⩛15515=↹⩛0","layer":3},{"info":"↹⩛305⊴↹⩛0=↹⩛-211","layer":2},{"info":"⋂↹⩛-211=↹⩛11514","layer":1},{"info":"↹⩛40042⩧⪆↹⩛21313=↹⩛-21313","layer":3},{"info":"↹⩛24523⇪⋭=NaN","layer":3},{"info":"↹⩛-21313⇤NaN=NaN","layer":2},{"info":"↹⩛40201⇡⇂↹⩛20203=NaN","layer":3},{"info":"↹⩛12353⋝⋈⪟↹⩛30205=↹⩛12353","layer":3},{"info":"NaN⨭⪣↹⩛12353=NaN","layer":2},{"info":"NaN⫃⨇NaN=NaN","layer":1},{"info":"↹⩛11514≹⇙⪍NaN=NaN","layer":0}]} +{"id":475,"expression_no_base_symbol":"($1872$⪥$8022$⨪↰⇹$3339$⨐$1912$⪓⨏)-(($2580$⨭⪣$3513$)⪕($8552$⫸⇳$1043$))⪝(($2364$⨵⪆$4212$)↢($1133$⫘$4069$))","expression":"(↹⩛12400⪥↹⩛101050⨪↰⇹↹⩛23243⨐↹⩛12504⪓⨏)-((↹⩛15540⨭⪣↹⩛24133)⪕(↹⩛103332⫸⇳↹⩛4455))⪝((↹⩛14540⨵⪆↹⩛31300)↢(↹⩛5125⫘↹⩛30501))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26311,"operation_count":12,"complexity_ratio":2192.5833333333335,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1872,"base":6},"right_expr":{"type":"numeric_atoms","value":8022,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3339,"base":6},"right_expr":{"type":"numeric_atoms","value":1912,"base":6}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2580,"base":6},"right_expr":{"type":"numeric_atoms","value":3513,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":8552,"base":6},"right_expr":{"type":"numeric_atoms","value":1043,"base":6}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2364,"base":6},"right_expr":{"type":"numeric_atoms","value":4212,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1133,"base":6},"right_expr":{"type":"numeric_atoms","value":4069,"base":6}}}}},"used_operators":["rysDP5nf3Z","4X9JU4Jbn6","tmPS8pqC7x","QbnwKVWMIQ","Noe24qw2ks","wicAB68Tmb","umQnsF7QlU","kn8WO9XteQ","gx7XJ7hdpj","WR6HLWljOP","2DQ55sFlQl","48vC8HMD2b"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","rJVOvQCfKK","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1872","layer":4},{"info":"number node, value=8022","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=8022, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12140","layer":3},{"info":"number node, value=3339","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=1912, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6678","layer":3},{"info":"compute binary expreesion, left_input=12140, right_input=-6678, 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=12140","layer":2},{"info":"compute unary expreesion, input=12140, 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=2580","layer":4},{"info":"number node, value=3513","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=3513, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1301","layer":3},{"info":"number node, value=8552","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=8552, right_input=1043, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1301, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3503","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=4212, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=4069","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4069, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1336813","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1336813, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=3503, right_input=-484, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-16347","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16347, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12400⪥↹⩛101050⨪↰⇹↹⩛23243⨐↹⩛12504⪓⨏)-((↹⩛15540⨭⪣↹⩛24133)⪕(↹⩛103332⫸⇳↹⩛4455))⪝((↹⩛14540⨵⪆↹⩛31300)↢(↹⩛5125⫘↹⩛30501))=NaN","reverse_text":"NaN=(↹⩛12400⪥↹⩛101050⨪↰⇹↹⩛23243⨐↹⩛12504⪓⨏)-((↹⩛15540⨭⪣↹⩛24133)⪕(↹⩛103332⫸⇳↹⩛4455))⪝((↹⩛14540⨵⪆↹⩛31300)↢(↹⩛5125⫘↹⩛30501))","cot":[{"info":"↹⩛12400⪥↹⩛101050=↹⩛132112","layer":3},{"info":"↹⩛23243⨐↹⩛12504=↹⩛-50530","layer":3},{"info":"↹⩛132112⨪↰⇹↹⩛-50530=↹⩛132112","layer":2},{"info":"↹⩛132112⪓⨏=NaN","layer":1},{"info":"↹⩛15540⨭⪣↹⩛24133=↹⩛10005","layer":3},{"info":"↹⩛103332⫸⇳↹⩛4455=↹⩛0","layer":3},{"info":"↹⩛10005⪕↹⩛0=↹⩛24115","layer":2},{"info":"↹⩛14540⨵⪆↹⩛31300=↹⩛424","layer":3},{"info":"↹⩛5125⫘↹⩛30501=↹⩛44352541","layer":3},{"info":"↹⩛424↢↹⩛44352541=↹⩛-2124","layer":2},{"info":"↹⩛24115⪝↹⩛-2124=↹⩛-203403","layer":1},{"info":"NaN-↹⩛-203403=NaN","layer":0}]} +{"id":476,"expression_no_base_symbol":"(($4559$⇽⩪)⋥⋵⩄($1690$∈)⫏⊷)⊍⩺⋍($4678$⊹∫⫚$2612$↙$1432$⪬$1354$)+⪬∐($6050$⨟⋌⩍$2663$⨪↰⇹(⇺⋃$1182$))","expression":"((↹⩛33035⇽⩪)⋥⋵⩄(↹⩛11454∈)⫏⊷)⊍⩺⋍(↹⩛33354⊹∫⫚↹⩛20032↙↹⩛10344⪬↹⩛10134)+⪬∐(↹⩛44002⨟⋌⩍↹⩛20155⨪↰⇹(⇺⋃↹⩛5250))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1464,"operation_count":12,"complexity_ratio":122.0,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":4559,"base":6}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1690,"base":6}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4678,"base":6},"right_expr":{"type":"numeric_atoms","value":2612,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1432,"base":6},"right_expr":{"type":"numeric_atoms","value":1354,"base":6}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6050,"base":6},"right_expr":{"type":"numeric_atoms","value":2663,"base":6}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1182,"base":6}}}}},"used_operators":["OXDGMFPWZM","dcShxvzhyw","7t3wd0Fuz7","FonBHBYJbU","ztP7wcbY7m","2GS7woTJqF","yyfyN0ffXY","uWAJUKEvyW","Ez1Nq5fNfI","tmPS8pqC7x","rGHVDoGpnC","E5v5B3UAjG"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","DpFCA1CohY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rJVOvQCfKK","Tcnh7f0tEr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4559","layer":4},{"info":"compute unary expreesion, input=4559, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=9640","layer":3},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=4399","layer":3},{"info":"compute binary expreesion, left_input=9640, right_input=4399, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":1},{"info":"number node, value=4678","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=4678, right_input=2612, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-244","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1354, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=1234, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-244","layer":2},{"info":"number node, value=6050","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=6050, right_input=2663, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=732","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=732, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛33035⇽⩪)⋥⋵⩄(↹⩛11454∈)⫏⊷)⊍⩺⋍(↹⩛33354⊹∫⫚↹⩛20032↙↹⩛10344⪬↹⩛10134)+⪬∐(↹⩛44002⨟⋌⩍↹⩛20155⨪↰⇹(⇺⋃↹⩛5250))=NaN","reverse_text":"NaN=((↹⩛33035⇽⩪)⋥⋵⩄(↹⩛11454∈)⫏⊷)⊍⩺⋍(↹⩛33354⊹∫⫚↹⩛20032↙↹⩛10344⪬↹⩛10134)+⪬∐(↹⩛44002⨟⋌⩍↹⩛20155⨪↰⇹(⇺⋃↹⩛5250))","cot":[{"info":"↹⩛33035⇽⩪=↹⩛112344","layer":3},{"info":"↹⩛11454∈=↹⩛32211","layer":3},{"info":"↹⩛112344⋥⋵⩄↹⩛32211=↹⩛305","layer":2},{"info":"↹⩛305⫏⊷=↹⩛-3444","layer":1},{"info":"↹⩛33354⊹∫⫚↹⩛20032=↹⩛-1044","layer":3},{"info":"↹⩛10344⪬↹⩛10134=↹⩛5414","layer":3},{"info":"↹⩛-1044↙↹⩛5414=↹⩛-1044","layer":2},{"info":"↹⩛44002⨟⋌⩍↹⩛20155=NaN","layer":3},{"info":"⇺⋃↹⩛5250=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"↹⩛-1044+⪬∐NaN=↹⩛3220","layer":1},{"info":"↹⩛-3444⊍⩺⋍↹⩛3220=NaN","layer":0}]} +{"id":477,"expression_no_base_symbol":"⊵⊁(⊽(⊄⩳↩($2317$⫸⊐$4981$)))","expression":"⊵⊁(⊽(⊄⩳↩(↹⩛14421⫸⊐↹⩛35021)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":36,"operation_count":4,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2317,"base":6},"right_expr":{"type":"numeric_atoms","value":4981,"base":6}}}}},"used_operators":["AvED76WdY7","QxG7OkqoLX","8w2t5hMYqp","mqXw5SEYmG"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2317","layer":4},{"info":"number node, value=4981","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=4981, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19799","layer":3},{"info":"compute unary expreesion, input=19799, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-59397","layer":2},{"info":"compute unary expreesion, input=-59397, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', 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":6,"result_base":6,"text":"⊵⊁(⊽(⊄⩳↩(↹⩛14421⫸⊐↹⩛35021)))=NaN","reverse_text":"NaN=⊵⊁(⊽(⊄⩳↩(↹⩛14421⫸⊐↹⩛35021)))","cot":[{"info":"↹⩛14421⫸⊐↹⩛35021=↹⩛231355","layer":3},{"info":"⊄⩳↩↹⩛231355=↹⩛-1134553","layer":2},{"info":"⊽↹⩛-1134553=↹⩛0","layer":1},{"info":"⊵⊁↹⩛0=NaN","layer":0}]} +{"id":478,"expression_no_base_symbol":"⇖⫷⫕(∤($5304$⩼⇪↪$5039$⇗⋫))","expression":"⇖⫷⫕(∤(↹⩛40320⩼⇪↪↹⩛35155⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":711,"operation_count":4,"complexity_ratio":177.75,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5304,"base":6},"right_expr":{"type":"numeric_atoms","value":5039,"base":6}}}}},"used_operators":["UHmRx3INFg","k2HlF1dBQh","hpqmaQFPrd","ocnLzx9CaJ"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rxpJgHHUmx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5304","layer":4},{"info":"number node, value=5039","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=5039, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-25448","layer":3},{"info":"compute unary expreesion, input=-25448, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"⇖⫷⫕(∤(↹⩛40320⩼⇪↪↹⩛35155⇗⋫))=↹⩛21022","reverse_text":"↹⩛21022=⇖⫷⫕(∤(↹⩛40320⩼⇪↪↹⩛35155⇗⋫))","cot":[{"info":"↹⩛40320⩼⇪↪↹⩛35155=↹⩛-313452","layer":3},{"info":"↹⩛-313452⇗⋫=NaN","layer":2},{"info":"∤NaN=NaN","layer":1},{"info":"⇖⫷⫕NaN=↹⩛21022","layer":0}]} +{"id":479,"expression_no_base_symbol":"((($3664$⨘)∪⫐$3209$≎⊠⪸$2579$)⨘)⊝⪿⪼($1182$⩦$3336$≃($8180$∽$1073$))⫣⪄⊒($3271$⨔⇊$4926$∼$3879$⩼⇪↪$5899$)","expression":"(((↹⩛24544⨘)∪⫐↹⩛22505≎⊠⪸↹⩛15535)⨘)⊝⪿⪼(↹⩛5250⩦↹⩛23240≃(↹⩛101512∽↹⩛4545))⫣⪄⊒(↹⩛23051⨔⇊↹⩛34450∼↹⩛25543⩼⇪↪↹⩛43151)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30612,"operation_count":12,"complexity_ratio":2551.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":3664,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3209,"base":6},"right_expr":{"type":"numeric_atoms","value":2579,"base":6}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1182,"base":6},"right_expr":{"type":"numeric_atoms","value":3336,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":8180,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3271,"base":6},"right_expr":{"type":"numeric_atoms","value":4926,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3879,"base":6},"right_expr":{"type":"numeric_atoms","value":5899,"base":6}}}}},"used_operators":["3Oe9XWJUTD","ljcfZBUpm8","7YooWSwCyH","bJkvcejdHO","RabNbG55vr","YbVcJGFEVW","0kmYd0q39Y","y4ImoPnbV5","DyGG3AbaNP","JclMnS0uGI","ocnLzx9CaJ"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rJVOvQCfKK","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛-135300204","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3664","layer":4},{"info":"compute unary expreesion, input=3664, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-26423","layer":3},{"info":"number node, value=3209","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=2579, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=830658","layer":3},{"info":"compute binary expreesion, left_input=-26423, right_input=830658, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-26423","layer":2},{"info":"compute unary expreesion, input=-26423, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-185736","layer":1},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3336, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2364","layer":3},{"info":"number node, value=8180","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=8180, right_input=1073, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-43941","layer":3},{"info":"compute binary expreesion, left_input=2364, right_input=-43941, 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=175724","layer":2},{"info":"number node, value=3271","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=4926, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4926","layer":3},{"info":"number node, value=3879","layer":4},{"info":"number node, value=5899","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=5899, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-34318","layer":3},{"info":"compute binary expreesion, left_input=4926, right_input=-34318, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=175724, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-185736, right_input=160, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-2776108","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛24544⨘)∪⫐↹⩛22505≎⊠⪸↹⩛15535)⨘)⊝⪿⪼(↹⩛5250⩦↹⩛23240≃(↹⩛101512∽↹⩛4545))⫣⪄⊒(↹⩛23051⨔⇊↹⩛34450∼↹⩛25543⩼⇪↪↹⩛43151)=↹⩛-135300204","reverse_text":"↹⩛-135300204=(((↹⩛24544⨘)∪⫐↹⩛22505≎⊠⪸↹⩛15535)⨘)⊝⪿⪼(↹⩛5250⩦↹⩛23240≃(↹⩛101512∽↹⩛4545))⫣⪄⊒(↹⩛23051⨔⇊↹⩛34450∼↹⩛25543⩼⇪↪↹⩛43151)","cot":[{"info":"↹⩛24544⨘=↹⩛-322155","layer":3},{"info":"↹⩛22505≎⊠⪸↹⩛15535=↹⩛25445350","layer":3},{"info":"↹⩛-322155∪⫐↹⩛25445350=↹⩛-322155","layer":2},{"info":"↹⩛-322155⨘=↹⩛-3551520","layer":1},{"info":"↹⩛5250⩦↹⩛23240=↹⩛14540","layer":3},{"info":"↹⩛101512∽↹⩛4545=↹⩛-535233","layer":3},{"info":"↹⩛14540≃↹⩛-535233=↹⩛3433312","layer":2},{"info":"↹⩛23051⨔⇊↹⩛34450=↹⩛34450","layer":3},{"info":"↹⩛25543⩼⇪↪↹⩛43151=↹⩛-422514","layer":3},{"info":"↹⩛34450∼↹⩛-422514=NaN","layer":2},{"info":"↹⩛3433312⫣⪄⊒NaN=↹⩛424","layer":1},{"info":"↹⩛-3551520⊝⪿⪼↹⩛424=↹⩛-135300204","layer":0}]} +{"id":480,"expression_no_base_symbol":"≱⇩⩕($3980$↼⊘⨖$5282$)⪝($1066$≳⇉$2897$)↢(($1384$⪎↠$1735$)≝⊿(⊀$5465$))","expression":"≱⇩⩕(↹⩛30232↼⊘⨖↹⩛40242)⪝(↹⩛4534≳⇉↹⩛21225)↢((↹⩛10224⪎↠↹⩛12011)≝⊿(⊀↹⩛41145))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":166602691,"operation_count":8,"complexity_ratio":20825336.375,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3980,"base":6},"right_expr":{"type":"numeric_atoms","value":5282,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1066,"base":6},"right_expr":{"type":"numeric_atoms","value":2897,"base":6}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1384,"base":6},"right_expr":{"type":"numeric_atoms","value":1735,"base":6}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":5465,"base":6}}}}},"used_operators":["3DZMoQKiUl","WR6HLWljOP","wicAB68Tmb","bPywburJMS","V0kx6qeWkN","OKKcZfAt5B","3tVxb0NHM4","oPMjh9089D"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3980","layer":4},{"info":"number node, value=5282","layer":4},{"info":"compute binary expreesion, left_input=3980, right_input=5282, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=10342","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=2897, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10342, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1735, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=21598","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=21598, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-43889","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-43889, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≱⇩⩕(↹⩛30232↼⊘⨖↹⩛40242)⪝(↹⩛4534≳⇉↹⩛21225)↢((↹⩛10224⪎↠↹⩛12011)≝⊿(⊀↹⩛41145))=NaN","reverse_text":"NaN=≱⇩⩕(↹⩛30232↼⊘⨖↹⩛40242)⪝(↹⩛4534≳⇉↹⩛21225)↢((↹⩛10224⪎↠↹⩛12011)≝⊿(⊀↹⩛41145))","cot":[{"info":"↹⩛30232↼⊘⨖↹⩛40242=↹⩛115514","layer":3},{"info":"↹⩛4534≳⇉↹⩛21225=NaN","layer":3},{"info":"↹⩛115514⪝NaN=NaN","layer":2},{"info":"↹⩛10224⪎↠↹⩛12011=↹⩛424","layer":3},{"info":"⊀↹⩛41145=↹⩛243554","layer":3},{"info":"↹⩛424≝⊿↹⩛243554=↹⩛-535105","layer":2},{"info":"NaN↢↹⩛-535105=NaN","layer":1},{"info":"≱⇩⩕NaN=NaN","layer":0}]} +{"id":481,"expression_no_base_symbol":"((∤(⩪∧⨌$6230$))⫰⋱($1189$⫌⩉⩟$3171$)⪒⊣⊆($7943$∩⋅))⪟⇏(((⨝⨆$1523$)⪁($1023$⨝⩣∺))⨸⪁($1008$⩖⊿$3052$⇟⨁⪰))","expression":"((∤(⩪∧⨌↹⩛44502))⫰⋱(↹⩛5301⫌⩉⩟↹⩛22403)⪒⊣⊆(↹⩛100435∩⋅))⪟⇏(((⨝⨆↹⩛11015)⪁(↹⩛4423⨝⩣∺))⨸⪁(↹⩛4400⩖⊿↹⩛22044⇟⨁⪰))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":58440962,"operation_count":13,"complexity_ratio":4495458.615384615,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":6230,"base":6}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1189,"base":6},"right_expr":{"type":"numeric_atoms","value":3171,"base":6}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":7943,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1523,"base":6}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1023,"base":6}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1008,"base":6},"right_expr":{"type":"numeric_atoms","value":3052,"base":6}}}}},"used_operators":["GODebY97qR","6o9Blt3TJ6","k2HlF1dBQh","6iOiAJX1F8","eRqsBgTDFp","XIIwhv8d0m","2MzE1hQ0cz","g55IO6H4Gj","I7sXao9hZE","bQ67fsrMVf","ancx8kZcWl","BX1lVwlMe0","RZ5CV9rWsJ"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","sdazOOVcIp","W4YGzv6Whe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Qy55tPpLXF","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tifHPKVTfV","DZ8iAZOCBD","t8gj7n24qd","2DDjHMKMc0","xUOZtlo3hN","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6230","layer":4},{"info":"compute unary expreesion, input=6230, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=62300","layer":3},{"info":"compute unary expreesion, input=62300, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=1189","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=3171, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=7943","layer":4},{"info":"compute unary expreesion, input=7943, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-7822","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-7822, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-15442","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=-15442, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=15500","layer":1},{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1314","layer":3},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2046","layer":3},{"info":"compute binary expreesion, left_input=1314, right_input=-2046, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=3052, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=20302","layer":3},{"info":"compute unary expreesion, input=20302, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-20476","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-20476, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15500, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":6,"result_base":6,"text":"((∤(⩪∧⨌↹⩛44502))⫰⋱(↹⩛5301⫌⩉⩟↹⩛22403)⪒⊣⊆(↹⩛100435∩⋅))⪟⇏(((⨝⨆↹⩛11015)⪁(↹⩛4423⨝⩣∺))⨸⪁(↹⩛4400⩖⊿↹⩛22044⇟⨁⪰))=↹⩛-1","reverse_text":"↹⩛-1=((∤(⩪∧⨌↹⩛44502))⫰⋱(↹⩛5301⫌⩉⩟↹⩛22403)⪒⊣⊆(↹⩛100435∩⋅))⪟⇏(((⨝⨆↹⩛11015)⪁(↹⩛4423⨝⩣∺))⨸⪁(↹⩛4400⩖⊿↹⩛22044⇟⨁⪰))","cot":[{"info":"⩪∧⨌↹⩛44502=↹⩛1200232","layer":3},{"info":"∤↹⩛1200232=↹⩛13","layer":2},{"info":"↹⩛5301⫌⩉⩟↹⩛22403=↹⩛-122","layer":3},{"info":"↹⩛100435∩⋅=↹⩛-100114","layer":3},{"info":"↹⩛-122⪒⊣⊆↹⩛-100114=↹⩛-155254","layer":2},{"info":"↹⩛13⫰⋱↹⩛-155254=↹⩛155432","layer":1},{"info":"⨝⨆↹⩛11015=↹⩛10030","layer":3},{"info":"↹⩛4423⨝⩣∺=↹⩛-13250","layer":3},{"info":"↹⩛10030⪁↹⩛-13250=NaN","layer":2},{"info":"↹⩛4400��⊿↹⩛22044=↹⩛233554","layer":3},{"info":"↹⩛233554⇟⨁⪰=↹⩛-234444","layer":2},{"info":"NaN⨸⪁↹⩛-234444=NaN","layer":1},{"info":"↹⩛155432⪟⇏NaN=↹⩛-1","layer":0}]} +{"id":482,"expression_no_base_symbol":"⫡⇟⇯(⨰⫟⨤(≘($5735$∑⇟⊟$5755$)))","expression":"⫡⇟⇯(⨰⫟⨤(≘(↹⩛42315∑⇟⊟↹⩛42351)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":4,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5735,"base":6},"right_expr":{"type":"numeric_atoms","value":5755,"base":6}}}}},"used_operators":["qWUSsah53b","Tw270M8GLb","tcjXMdvYtA","U7g4x0WXJJ"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5735","layer":4},{"info":"number node, value=5755","layer":4},{"info":"compute binary expreesion, left_input=5735, right_input=5755, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫡⇟⇯(⨰⫟⨤(≘(↹⩛42315∑⇟⊟↹⩛42351)))=NaN","reverse_text":"NaN=⫡⇟⇯(⨰⫟⨤(≘(↹⩛42315∑⇟⊟↹⩛42351)))","cot":[{"info":"↹⩛42315∑⇟⊟↹⩛42351=NaN","layer":3},{"info":"≘NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⫡⇟⇯NaN=NaN","layer":0}]} +{"id":483,"expression_no_base_symbol":"(⩦⩻⨪(⊊≼∋($2415$∽$2224$)))≹⇙⪍((⇖⫷⫕$6447$⊲⩕⊾$4778$)≀⫉($1111$∥⊢⊲$1650$)⪃⊛⇣($3579$⪨⊡$8605$))","expression":"(⩦⩻⨪(⊊≼∋(↹⩛15103∽↹⩛14144)))≹⇙⪍((⇖⫷⫕↹⩛45503⊲⩕⊾↹⩛34042)≀⫉(↹⩛5051∥⊢⊲↹⩛11350)⪃⊛⇣(↹⩛24323⪨⊡↹⩛103501))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4379,"operation_count":10,"complexity_ratio":437.9,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2415,"base":6},"right_expr":{"type":"numeric_atoms","value":2224,"base":6}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6447,"base":6},"right_expr":{"type":"numeric_atoms","value":4778,"base":6}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1111,"base":6},"right_expr":{"type":"numeric_atoms","value":1650,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3579,"base":6},"right_expr":{"type":"numeric_atoms","value":8605,"base":6}}}}},"used_operators":["AHs5Up7iyr","2td37pGCOC","FWz7pXsQhA","y4ImoPnbV5","oZj3VtZNQx","UHmRx3INFg","DmTXOeWf9t","rrgAzCduG9","v1UQAVDJRr","kuIXHzHcAH"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","EBcxylXtPf","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=2224, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-18569","layer":3},{"info":"compute unary expreesion, input=-18569, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻���a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=6447","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=6447, right_input=4778, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-147562","layer":3},{"info":"compute unary expreesion, input=-147562, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1650, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3579","layer":4},{"info":"number node, value=8605","layer":4},{"info":"compute binary expreesion, left_input=3579, right_input=8605, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=1234, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = 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":6,"result_base":6,"text":"(⩦⩻⨪(⊊≼∋(↹⩛15103∽↹⩛14144)))≹⇙⪍((⇖⫷⫕↹⩛45503⊲⩕⊾↹⩛34042)≀⫉(↹⩛5051∥⊢⊲↹⩛11350)⪃⊛⇣(↹⩛24323⪨⊡↹⩛103501))=NaN","reverse_text":"NaN=(⩦⩻⨪(⊊≼∋(↹⩛15103∽↹⩛14144)))≹⇙⪍((⇖⫷⫕↹⩛45503⊲⩕⊾↹⩛34042)≀⫉(↹⩛5051∥⊢⊲↹⩛11350)⪃⊛⇣(↹⩛24323⪨⊡↹⩛103501))","cot":[{"info":"↹⩛15103∽↹⩛14144=↹⩛-221545","layer":3},{"info":"⊊≼∋↹⩛-221545=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"↹⩛45503⊲⩕⊾↹⩛34042=↹⩛-3055054","layer":3},{"info":"⇖⫷⫕↹⩛-3055054=↹⩛21022","layer":2},{"info":"↹⩛5051∥⊢⊲↹⩛11350=NaN","layer":3},{"info":"↹⩛24323⪨⊡↹⩛103501=↹⩛0","layer":3},{"info":"NaN⪃⊛⇣↹⩛0=↹⩛5414","layer":2},{"info":"↹⩛21022≀⫉↹⩛5414=↹⩛21022","layer":1},{"info":"NaN≹⇙⪍↹⩛21022=NaN","layer":0}]} +{"id":484,"expression_no_base_symbol":"((⪲⇎$3119$)⊉≛↸$1244$⋹⋡⊁$2857$≬⋮($1263$↬⩅∪)⪛($1025$⩧⪆$1900$))⫉⨲⊜(($3411$⋓$8661$)⋛($1012$⨳⩥⨓$3463$)⨰($1395$⪮%⊝$3736$≚⋢))","expression":"((⪲⇎↹⩛22235)⊉≛↸↹⩛5432⋹⋡⊁↹⩛21121≬⋮(↹⩛5503↬⩅∪)⪛(↹⩛4425⩧⪆↹⩛12444))⫉⨲⊜((↹⩛23443⋓↹⩛104033)⋛(↹⩛4404⨳⩥⨓↹⩛24011)⨰(↹⩛10243⪮%⊝↹⩛25144≚⋢))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62958,"operation_count":14,"complexity_ratio":4497.0,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3119,"base":6}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1244,"base":6},"right_expr":{"type":"numeric_atoms","value":2857,"base":6}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1263,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1025,"base":6},"right_expr":{"type":"numeric_atoms","value":1900,"base":6}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3411,"base":6},"right_expr":{"type":"numeric_atoms","value":8661,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1012,"base":6},"right_expr":{"type":"numeric_atoms","value":3463,"base":6}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1395,"base":6},"right_expr":{"type":"numeric_atoms","value":3736,"base":6}}}}},"used_operators":["WhqkvtTD3t","kbkesczE7y","DZ8iAZOCBD","XPYlsWDdGa","As8RqfVLgs","uFcxV4UQCh","VJ330n2nnx","Ikt5ks8PT7","eewbuw0ToL","YbUVn0Rbpy","T2fj7uvVaJ","nCS4ZIUYfx","MahUMFw56D","IWmyXbctLI"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"↹⩛-2355012","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6238","layer":3},{"info":"number node, value=1244","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=2857, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3607","layer":3},{"info":"compute binary expreesion, left_input=6238, right_input=3607, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12476","layer":2},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3789","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1900, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1900","layer":3},{"info":"compute binary expreesion, left_input=-3789, right_input=-1900, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1889","layer":2},{"info":"compute binary expreesion, left_input=12476, right_input=-1889, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3411","layer":4},{"info":"number node, value=8661","layer":4},{"info":"compute binary expreesion, left_input=3411, right_input=8661, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3463, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2451","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2451, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124197","layer":2},{"info":"number node, value=1395","layer":4},{"info":"number node, value=3736","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=3736, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3106","layer":3},{"info":"compute unary expreesion, input=3106, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=-124197, right_input=-89, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-124098","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-124098, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-124208","layer":0}],"base":6,"result_base":6,"text":"((⪲⇎↹⩛22235)⊉≛↸↹⩛5432⋹⋡⊁↹⩛21121≬⋮(↹⩛5503↬⩅∪)⪛(↹⩛4425⩧⪆↹⩛12444))⫉⨲⊜((↹⩛23443⋓↹⩛104033)⋛(↹⩛4404⨳⩥⨓↹⩛24011)⨰(↹⩛10243⪮%⊝↹⩛25144≚⋢))=↹⩛-2355012","reverse_text":"↹⩛-2355012=((⪲⇎↹⩛22235)⊉≛↸↹⩛5432⋹⋡⊁↹⩛21121≬⋮(↹⩛5503↬⩅∪)⪛(↹⩛4425⩧⪆↹⩛12444))⫉⨲⊜((↹⩛23443⋓↹⩛104033)⋛(↹⩛4404⨳⩥⨓↹⩛24011)⨰(↹⩛10243⪮%⊝↹⩛25144≚⋢))","cot":[{"info":"⪲⇎↹⩛22235=↹⩛44514","layer":3},{"info":"↹⩛5432⋹⋡⊁↹⩛21121=↹⩛24411","layer":3},{"info":"↹⩛44514⊉≛↸↹⩛24411=↹⩛133432","layer":2},{"info":"↹⩛5503↬⩅∪=↹⩛-25313","layer":3},{"info":"↹⩛4425⩧⪆↹⩛12444=↹⩛-12444","layer":3},{"info":"↹⩛-25313⪛↹⩛-12444=↹⩛-12425","layer":2},{"info":"↹⩛133432≬⋮↹⩛-12425=↹⩛4004","layer":1},{"info":"↹⩛23443⋓↹⩛104033=↹⩛0","layer":3},{"info":"↹⩛4404⨳⩥⨓↹⩛24011=↹⩛15203","layer":3},{"info":"↹⩛0⋛↹⩛15203=↹⩛-2354553","layer":2},{"info":"↹⩛10243⪮%⊝↹⩛25144=↹⩛22214","layer":3},{"info":"↹⩛22214≚⋢=↹⩛-225","layer":2},{"info":"↹⩛-2354553⨰↹⩛-225=↹⩛-2354310","layer":1},{"info":"↹⩛4004⫉⨲⊜↹⩛-2354310=↹⩛-2355012","layer":0}]} +{"id":485,"expression_no_base_symbol":"($2318$→⨶⪴$7932$⩇∃⫛($6348$⋥≓≎$1305$)⪛⫼(⪲⇎($1473$⊾⪯⋞$2586$)))⫗⊷⫓((⫇$1029$)⇻⋧≁(≪$3933$)⇤(⪛⨧($1042$⫃⨇$2009$)))","expression":"(↹⩛14422→⨶⪴↹⩛100420⩇∃⫛(↹⩛45220⋥≓≎↹⩛10013)⪛⫼(⪲⇎(↹⩛10453⊾⪯⋞↹⩛15550)))⫗⊷⫓((⫇↹⩛4433)⇻⋧≁(≪↹⩛30113)⇤(⪛⨧(↹⩛4454⫃⨇↹⩛13145)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1672,"operation_count":13,"complexity_ratio":128.6153846153846,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2318,"base":6},"right_expr":{"type":"numeric_atoms","value":7932,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6348,"base":6},"right_expr":{"type":"numeric_atoms","value":1305,"base":6}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1473,"base":6},"right_expr":{"type":"numeric_atoms","value":2586,"base":6}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1029,"base":6}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3933,"base":6}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1042,"base":6},"right_expr":{"type":"numeric_atoms","value":2009,"base":6}}}}},"used_operators":["zashukvMKz","hyuBjUqXlG","1aApVXNlOP","bF6eod5Gvf","Qy55tPpLXF","XPYlsWDdGa","HK0tfVPux8","YSKBFp38Pu","jCPkEVoL5K","YjI8oCXuph","Qtd6bqUJcN","6NJAcO2OWT","09Ly4LVMIf"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2318","layer":4},{"info":"number node, value=7932","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=7932, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-23796","layer":3},{"info":"number node, value=6348","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=6348, right_input=1305, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3705","layer":3},{"info":"compute binary expreesion, left_input=-23796, right_input=-3705, 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=-23796","layer":2},{"info":"number node, value=1473","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=2586, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4746","layer":3},{"info":"compute unary expreesion, input=4746, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9492","layer":2},{"info":"compute binary expreesion, left_input=-23796, right_input=9492, 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=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-844","layer":3},{"info":"number node, value=3933","layer":4},{"info":"compute unary expreesion, input=3933, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-844, right_input=913, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-10973","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2009, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8068","layer":3},{"info":"compute unary expreesion, input=-8068, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-14735","layer":2},{"info":"compute binary expreesion, left_input=-10973, right_input=-14735, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=131388","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=131388, 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":6,"result_base":6,"text":"(↹⩛14422→⨶⪴↹⩛100420⩇∃⫛(↹⩛45220⋥≓≎↹⩛10013)⪛⫼(⪲⇎(↹⩛10453⊾⪯⋞↹⩛15550)))⫗⊷⫓((⫇↹⩛4433)⇻⋧≁(≪↹⩛30113)⇤(⪛⨧(↹⩛4454⫃⨇↹⩛13145)))=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛14422→⨶⪴↹⩛100420⩇∃⫛(↹⩛45220⋥≓≎↹⩛10013)⪛⫼(⪲⇎(↹⩛10453⊾⪯⋞↹⩛15550)))⫗⊷⫓((⫇↹⩛4433)⇻⋧≁(≪↹⩛30113)⇤(⪛⨧(↹⩛4454⫃⨇↹⩛13145)))","cot":[{"info":"↹⩛14422→⨶⪴↹⩛100420=↹⩛-302100","layer":3},{"info":"↹⩛45220⋥≓≎↹⩛10013=↹⩛-25053","layer":3},{"info":"↹⩛-302100⩇∃⫛↹⩛-25053=↹⩛-302100","layer":2},{"info":"↹⩛10453⊾⪯⋞↹⩛15550=↹⩛33550","layer":3},{"info":"⪲⇎↹⩛33550=↹⩛111540","layer":2},{"info":"↹⩛-302100⪛⫼↹⩛111540=↹⩛4252","layer":1},{"info":"⫇↹⩛4433=↹⩛-3524","layer":3},{"info":"≪↹⩛30113=↹⩛4121","layer":3},{"info":"↹⩛-3524⇻⋧≁↹⩛4121=↹⩛-122445","layer":2},{"info":"↹⩛4454⫃⨇↹⩛13145=↹⩛-101204","layer":3},{"info":"⪛⨧↹⩛-101204=↹⩛-152115","layer":2},{"info":"↹⩛-122445⇤↹⩛-152115=↹⩛2452140","layer":1},{"info":"↹⩛4252⫗⊷⫓↹⩛2452140=↹⩛-342","layer":0}]} +{"id":486,"expression_no_base_symbol":"↓⇌(($1788$⪇≇⋚$1612$∙⊟$6504$⪔⊥$2628$)⩒⫫(($5315$⩹$4920$)⇗⋫))","expression":"↓⇌((↹⩛12140⪇≇⋚↹⩛11244∙⊟↹⩛50040⪔⊥↹⩛20100)⩒⫫((↹⩛40335⩹↹⩛34440)⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":126,"operation_count":7,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1788,"base":6},"right_expr":{"type":"numeric_atoms","value":1612,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6504,"base":6},"right_expr":{"type":"numeric_atoms","value":2628,"base":6}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5315,"base":6},"right_expr":{"type":"numeric_atoms","value":4920,"base":6}}}}},"used_operators":["PxpmPgHHJV","KFSx94NKJn","SxTAKzQCrw","3sJ7IOPOlU","HJ9erzHUuu","hpqmaQFPrd","2Wsdkap16l"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rxpJgHHUmx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1612, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=6504","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=6504, right_input=2628, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=20561","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20561, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"number node, value=5315","layer":4},{"info":"number node, value=4920","layer":4},{"info":"compute binary expreesion, left_input=5315, right_input=4920, 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=4918","layer":3},{"info":"compute unary expreesion, input=4918, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22285, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↓⇌((↹⩛12140⪇≇⋚↹⩛11244∙⊟↹⩛50040⪔⊥↹⩛20100)⩒⫫((↹⩛40335⩹↹⩛34440)⇗⋫))=NaN","reverse_text":"NaN=↓⇌((↹⩛12140⪇≇⋚↹⩛11244∙⊟↹⩛50040⪔⊥↹⩛20100)⩒⫫((↹⩛40335⩹↹⩛34440)⇗⋫))","cot":[{"info":"↹⩛12140⪇≇⋚↹⩛11244=↹⩛0","layer":3},{"info":"↹⩛50040⪔⊥↹⩛20100=↹⩛235105","layer":3},{"info":"↹⩛0∙⊟↹⩛235105=↹⩛251101","layer":2},{"info":"↹⩛40335⩹↹⩛34440=↹⩛34434","layer":3},{"info":"↹⩛34434⇗⋫=NaN","layer":2},{"info":"↹⩛251101⩒⫫NaN=NaN","layer":1},{"info":"↓⇌NaN=NaN","layer":0}]} +{"id":487,"expression_no_base_symbol":"⇵⪽((⇨$3639$↞⋁$2989$)⪮%⊝((∑⇻≧$2687$)+⇶⊼(⊲⪭$3528$)))","expression":"⇵⪽((⇨↹⩛24503↞⋁↹⩛21501)⪮%⊝((∑⇻≧↹⩛20235)+⇶⊼(⊲⪭↹⩛24200)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":191,"operation_count":7,"complexity_ratio":27.285714285714285,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3639,"base":6},"right_expr":{"type":"numeric_atoms","value":2989,"base":6}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2687,"base":6}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3528,"base":6}}}}},"used_operators":["ZGCBLdVRRX","IWmyXbctLI","G9tJMlZ94a","RqrPlJkxDo","TpPTUOHfaN","l1M9WJ3V7u","k7HXdKtiEU"],"dependent_operators":["U7g4x0WXJJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AHs5Up7iyr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","i8ToyICDmI","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3639","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=2989, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"number node, value=2687","layer":4},{"info":"compute unary expreesion, input=2687, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=3528","layer":4},{"info":"compute unary expreesion, input=3528, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3702","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-3702, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽((⇨↹⩛24503↞⋁↹⩛21501)⪮%⊝((∑⇻≧↹⩛20235)+⇶⊼(⊲⪭↹⩛24200)))=NaN","reverse_text":"NaN=⇵⪽((⇨↹⩛24503↞⋁↹⩛21501)⪮%⊝((∑⇻≧↹⩛20235)+⇶⊼(⊲⪭↹⩛24200)))","cot":[{"info":"↹⩛24503↞⋁↹⩛21501=NaN","layer":3},{"info":"⇨NaN=NaN","layer":2},{"info":"∑⇻≧↹⩛20235=↹⩛-3540","layer":3},{"info":"⊲⪭↹⩛24200=↹⩛-25050","layer":3},{"info":"↹⩛-3540+⇶⊼↹⩛-25050=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]} +{"id":488,"expression_no_base_symbol":"((⨙⪌(≑⋹$1630$))∼(($1654$∓⋝$5983$)⇚⪠))⋹⋡⊁(⊑(⨑⩽⪐(∮$1459$)))","expression":"((⨙⪌(≑⋹↹⩛11314))∼((↹⩛11354∓⋝↹⩛43411)⇚⪠))⋹⋡⊁(⊑(⨑⩽⪐(∮↹⩛10431)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":64411,"operation_count":9,"complexity_ratio":7156.777777777777,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1630,"base":6}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1654,"base":6},"right_expr":{"type":"numeric_atoms","value":5983,"base":6}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1459,"base":6}}}}},"used_operators":["As8RqfVLgs","DyGG3AbaNP","vEGLkm4Z2k","6B9nyZLogK","Loh9y4A90B","PoHhknlbAi","IkUmn0D7oy","AF7qkfDlqP","CqXKPLVYql"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛4210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1654","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=5983, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=20971","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=20971, 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=1459","layer":4},{"info":"compute unary expreesion, input=1459, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=206","layer":2},{"info":"compute unary expreesion, input=206, 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 = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=942","layer":0}],"base":6,"result_base":6,"text":"((⨙⪌(≑⋹↹⩛11314))∼((↹⩛11354∓⋝↹⩛43411)⇚⪠))⋹⋡⊁(⊑(⨑⩽⪐(∮↹⩛10431)))=���⩛4210","reverse_text":"↹⩛4210=((⨙⪌(≑⋹↹⩛11314))∼((↹⩛11354∓⋝↹⩛43411)⇚⪠))⋹⋡⊁(⊑(⨑⩽⪐(∮↹⩛10431)))","cot":[{"info":"≑⋹↹⩛11314=↹⩛11350","layer":3},{"info":"⨙⪌↹⩛11350=↹⩛4004","layer":2},{"info":"↹⩛11354∓⋝↹⩛43411=↹⩛151","layer":3},{"info":"↹⩛151⇚⪠=↹⩛241031","layer":2},{"info":"↹⩛4004∼↹⩛241031=NaN","layer":1},{"info":"∮↹⩛10431=↹⩛151","layer":3},{"info":"⨑⩽⪐↹⩛151=↹⩛542","layer":2},{"info":"⊑↹⩛542=↹⩛520","layer":1},{"info":"NaN⋹⋡⊁↹⩛520=↹⩛4210","layer":0}]} +{"id":489,"expression_no_base_symbol":"⩦⩻⨪($2288$⪒$5884$)≒∊($3792$⇼⇔∾$2290$)≭(($5828$%$3487$)⨳⩥⨓($4011$⋘⨑⨽))","expression":"⩦⩻⨪(↹⩛14332⪒↹⩛43124)≒∊(↹⩛25320⇼⇔∾↹⩛14334)≭((↹⩛42552%↹⩛24051)⨳⩥⨓(↹⩛30323⋘⨑⨽))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":43,"operation_count":8,"complexity_ratio":5.375,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2288,"base":6},"right_expr":{"type":"numeric_atoms","value":5884,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3792,"base":6},"right_expr":{"type":"numeric_atoms","value":2290,"base":6}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5828,"base":6},"right_expr":{"type":"numeric_atoms","value":3487,"base":6}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":4011,"base":6}}}}},"used_operators":["2td37pGCOC","rxpJgHHUmx","5KTvxBwnZo","f6k1SAg4EE","tifHPKVTfV","nCS4ZIUYfx","k8jYdgA6NY","WmT3o8z6ya"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2288","layer":4},{"info":"number node, value=5884","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=5884, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8172","layer":3},{"info":"number node, value=3792","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=2290, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1502","layer":3},{"info":"compute binary expreesion, left_input=-8172, right_input=-1502, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=8656","layer":2},{"info":"number node, value=5828","layer":4},{"info":"number node, value=3487","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=3487, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2341","layer":3},{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=20838","layer":3},{"info":"compute binary expreesion, left_input=2341, right_input=20838, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=18497","layer":2},{"info":"compute binary expreesion, left_input=8656, right_input=18497, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩦⩻⨪(↹⩛14332⪒↹⩛43124)≒∊(↹⩛25320⇼⇔∾↹⩛14334)≭((↹⩛42552%↹⩛24051)⨳⩥⨓(↹⩛30323⋘⨑⨽))=NaN","reverse_text":"NaN=⩦⩻⨪(↹⩛14332⪒↹⩛43124)≒∊(↹⩛25320⇼⇔∾↹⩛14334)≭((↹⩛42552%↹⩛24051)⨳⩥⨓(↹⩛30323⋘⨑⨽))","cot":[{"info":"↹⩛14332⪒↹⩛43124=↹⩛-101500","layer":3},{"info":"↹⩛25320⇼⇔∾↹⩛14334=↹⩛-10542","layer":3},{"info":"↹⩛-101500≒∊↹⩛-10542=↹⩛104024","layer":2},{"info":"↹⩛42552%↹⩛24051=↹⩛14501","layer":3},{"info":"↹⩛30323⋘⨑⨽=↹⩛240250","layer":3},{"info":"↹⩛14501⨳⩥⨓↹⩛240250=↹⩛221345","layer":2},{"info":"↹⩛104024≭↹⩛221345=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]} +{"id":490,"expression_no_base_symbol":"(($8389$⊝⪿⪼$1923$)⊫∞)∙⊟(⩷$1152$)⨟⋌⩍($3015$⪇≇⋚$3439$)∙∹∝((⨩∲⋌(≦∁$1267$))��⊥⇻)","expression":"((↹⩛102501⊝⪿⪼↹⩛12523)⊫∞)∙⊟(⩷↹⩛5200)⨟⋌⩍(↹⩛21543⪇≇⋚↹⩛23531)∙∹∝((⨩∲⋌(≦∁↹⩛5511))∀⊥⇻)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23287,"operation_count":10,"complexity_ratio":2328.7,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":8389,"base":6},"right_expr":{"type":"numeric_atoms","value":1923,"base":6}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1152,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3015,"base":6},"right_expr":{"type":"numeric_atoms","value":3439,"base":6}}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1267,"base":6}}}}},"used_operators":["HmxsFra2vL","SxTAKzQCrw","pABnYW3G3E","3Oe9XWJUTD","rGHVDoGpnC","1h0rLqGiFr","3sJ7IOPOlU","k4iM1060OG","aSik1wnThz","9ICcGScMcE"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8389","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=8389, right_input=1923, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=115055","layer":3},{"info":"compute unary expreesion, input=115055, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=1152","layer":4},{"info":"compute unary expreesion, input=1152, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-13903","layer":3},{"info":"number node, value=3015","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=3439, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13903, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=-13903","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-13903, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":1},{"info":"number node, value=1267","layer":4},{"info":"compute unary expreesion, input=1267, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1267","layer":3},{"info":"compute unary expreesion, input=1267, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1790","layer":2},{"info":"compute unary expreesion, input=-1790, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=22285, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛102501⊝⪿⪼↹⩛12523)⊫∞)∙⊟(⩷↹⩛5200)⨟⋌⩍(↹⩛21543⪇≇⋚↹⩛23531)∙∹∝((⨩∲⋌(≦∁↹⩛5511))∀⊥⇻)=↹⩛0","reverse_text":"↹⩛0=((↹⩛102501⊝⪿⪼↹⩛12523)⊫∞)∙⊟(⩷↹⩛5200)⨟⋌⩍(↹⩛21543⪇≇⋚↹⩛23531)∙∹∝((⨩∲⋌(≦∁↹⩛5511))∀⊥⇻)","cot":[{"info":"↹⩛102501⊝⪿⪼↹⩛12523=↹⩛2244355","layer":3},{"info":"↹⩛2244355⊫∞=↹⩛0","layer":2},{"info":"⩷↹⩛5200=↹⩛-144211","layer":3},{"info":"↹⩛21543⪇≇⋚↹⩛23531=↹⩛0","layer":3},{"info":"↹⩛-144211⨟⋌⩍↹⩛0=↹⩛-144211","layer":2},{"info":"↹⩛0∙⊟↹⩛-144211=↹⩛251101","layer":1},{"info":"≦∁↹⩛5511=↹⩛5511","layer":3},{"info":"⨩∲⋌↹⩛5511=↹⩛-12142","layer":2},{"info":"↹⩛-12142∀⊥⇻=↹⩛0","layer":1},{"info":"↹⩛251101∙∹∝↹⩛0=↹⩛0","layer":0}]} +{"id":491,"expression_no_base_symbol":"((⨑⩽⪐(↘$5199$))⩼⇪↪(⫡⇟⇯($4265$⨽$1028$)))↞⋁(∂($6750$⋾⨃∁$3024$)⊔$4967$⨔⇊$1702$)","expression":"((⨑⩽⪐(↘↹⩛40023))⩼⇪↪(⫡⇟⇯(↹⩛31425⨽↹⩛4432)))↞⋁(∂(↹⩛51130⋾⨃∁↹⩛22000)⊔↹⩛34555⨔⇊↹⩛11514)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7560,"operation_count":10,"complexity_ratio":756.0,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5199,"base":6}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4265,"base":6},"right_expr":{"type":"numeric_atoms","value":1028,"base":6}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6750,"base":6},"right_expr":{"type":"numeric_atoms","value":3024,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4967,"base":6},"right_expr":{"type":"numeric_atoms","value":1702,"base":6}}}}},"used_operators":["RqrPlJkxDo","ocnLzx9CaJ","AF7qkfDlqP","LdNpr8hQHL","qWUSsah53b","8HhzD0ZcuI","Uaa54Peajs","E4l6HwMY31","212REbPD9h","JclMnS0uGI"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","uFcxV4UQCh","DZ8iAZOCBD","P8v4zCKN1o","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5199","layer":4},{"info":"compute unary expreesion, input=5199, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=103","layer":3},{"info":"compute unary expreesion, input=103, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=170","layer":2},{"info":"number node, value=4265","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=1028, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-54572445","layer":3},{"info":"compute unary expreesion, input=-54572445, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=54573313","layer":2},{"info":"compute binary expreesion, left_input=170, right_input=54573313, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-382013634","layer":1},{"info":"number node, value=6750","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=6750, right_input=3024, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=91409378","layer":3},{"info":"number node, value=4967","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=1702, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1702","layer":3},{"info":"compute binary expreesion, left_input=91409378, right_input=1702, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=182824866","layer":2},{"info":"compute unary expreesion, input=182824866, 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=-382013634, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⨑⩽⪐(↘↹⩛40023))⩼⇪↪(⫡⇟⇯(↹⩛31425⨽↹⩛4432)))↞⋁(∂(↹⩛51130⋾⨃∁↹⩛22000)⊔↹⩛34555⨔⇊↹⩛11514)=NaN","reverse_text":"NaN=((⨑⩽⪐(↘↹⩛40023))⩼⇪↪(⫡⇟⇯(↹⩛31425⨽↹⩛4432)))↞⋁(∂(↹⩛51130⋾⨃∁↹⩛22000)⊔↹⩛34555⨔⇊↹⩛11514)","cot":[{"info":"↘↹⩛40023=↹⩛251","layer":3},{"info":"⨑⩽⪐���⩛251=↹⩛442","layer":2},{"info":"↹⩛31425⨽↹⩛4432=↹⩛-5225402113","layer":3},{"info":"⫡⇟⇯↹⩛-5225402113=↹⩛5225410121","layer":2},{"info":"↹⩛442⩼⇪↪↹⩛5225410121=↹⩛-101523513350","layer":1},{"info":"↹⩛51130⋾⨃∁↹⩛22000=↹⩛13023115322","layer":3},{"info":"↹⩛34555⨔⇊↹⩛11514=↹⩛11514","layer":3},{"info":"↹⩛13023115322⊔↹⩛11514=↹⩛30050323230","layer":2},{"info":"∂↹⩛30050323230=NaN","layer":1},{"info":"↹⩛-101523513350↞⋁NaN=NaN","layer":0}]} +{"id":492,"expression_no_base_symbol":"⫵↿($4323$⨐⩸⫘$8631$)⪟⇏($2680$⋓$2517$)⫒⫫($1261$⇂≾⫗$1544$)⨂≜($1896$⪕$5773$)","expression":"⫵↿(↹⩛32003⨐⩸⫘↹⩛103543)⪟⇏(↹⩛20224⋓↹⩛15353)⫒⫫(↹⩛5501⇂≾⫗↹⩛11052)⨂≜(↹⩛12440⪕↹⩛42421)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4170,"operation_count":8,"complexity_ratio":521.25,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4323,"base":6},"right_expr":{"type":"numeric_atoms","value":8631,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2680,"base":6},"right_expr":{"type":"numeric_atoms","value":2517,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1261,"base":6},"right_expr":{"type":"numeric_atoms","value":1544,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1896,"base":6},"right_expr":{"type":"numeric_atoms","value":5773,"base":6}}}}},"used_operators":["ivGwdmUAux","6Ko8hGgeMq","GODebY97qR","fu6greOZ01","T2fj7uvVaJ","k1SHOSEABc","aBQ6xLxuTc","umQnsF7QlU"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"↹⩛345","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4323","layer":4},{"info":"number node, value=8631","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=8631, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=2517, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1544, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1896","layer":4},{"info":"number node, value=5773","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=5773, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-55, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":6,"result_base":6,"text":"⫵↿(↹⩛32003⨐⩸⫘↹⩛103543)⪟⇏(↹⩛20224⋓↹⩛15353)⫒⫫(↹⩛5501⇂≾⫗↹⩛11052)⨂≜(↹⩛12440⪕↹⩛42421)=↹⩛345","reverse_text":"↹⩛345=⫵↿(↹⩛32003⨐⩸⫘↹⩛103543)⪟⇏(↹⩛20224⋓↹⩛15353)⫒⫫(↹⩛5501⇂≾⫗↹⩛11052)⨂��(↹⩛12440⪕↹⩛42421)","cot":[{"info":"↹⩛32003⨐⩸⫘↹⩛103543=NaN","layer":3},{"info":"↹⩛20224⋓↹⩛15353=↹⩛0","layer":3},{"info":"NaN⪟⇏↹⩛0=↹⩛0","layer":2},{"info":"↹⩛5501⇂≾⫗↹⩛11052=↹⩛-3044","layer":3},{"info":"↹⩛12440⪕↹⩛42421=↹⩛-131","layer":3},{"info":"↹⩛-3044⨂≜↹⩛-131=NaN","layer":2},{"info":"↹⩛0⫒⫫NaN=NaN","layer":1},{"info":"⫵↿NaN=↹⩛345","layer":0}]} +{"id":493,"expression_no_base_symbol":"⋎⨆(($5297$⪚$6688$⩨$1099$⇷$3364$)⇐≅)","expression":"⋎⨆((↹⩛40305⪚↹⩛50544⩨↹⩛5031⇷↹⩛23324)⇐≅)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15669,"operation_count":5,"complexity_ratio":3133.8,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5297,"base":6},"right_expr":{"type":"numeric_atoms","value":6688,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1099,"base":6},"right_expr":{"type":"numeric_atoms","value":3364,"base":6}}}}},"used_operators":["E64sFOc4tB","wEfv7U73WA","2DlMacCsIx","HrjLwUk87U","mp7IySMOzn"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5297","layer":4},{"info":"number node, value=6688","layer":4},{"info":"compute binary expreesion, left_input=5297, right_input=6688, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3138","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=3364, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6728","layer":3},{"info":"compute binary expreesion, left_input=-3138, right_input=6728, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"compute unary expreesion, input=9, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-482","layer":1},{"info":"compute unary expreesion, input=-482, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⋎⨆((↹⩛40305⪚↹⩛50544⩨↹⩛5031⇷↹⩛23324)⇐≅)=↹⩛454202000","reverse_text":"↹⩛454202000=⋎⨆((↹⩛40305⪚↹⩛50544⩨↹⩛5031⇷↹⩛23324)⇐≅)","cot":[{"info":"↹⩛40305⪚↹⩛50544=↹⩛-22310","layer":3},{"info":"↹⩛5031⇷↹⩛23324=↹⩛51052","layer":3},{"info":"↹⩛-22310⩨↹⩛51052=↹⩛13","layer":2},{"info":"↹⩛13⇐≅=↹⩛-2122","layer":1},{"info":"⋎⨆↹⩛-2122=↹⩛454202000","layer":0}]} +{"id":494,"expression_no_base_symbol":"(($5603$⇯⋐)⪪$1882$⇡⇂$4801$≒∊($4860$∴$5390$⪑⩈))⪮%⊝((⨰⫟⨤$2802$⨼⩣$1932$)⩇∃⫛$6401$⪝$5980$⪥($2383$⋆⋳))","expression":"((↹⩛41535⇯⋐)⪪↹⩛12414⇡⇂↹⩛34121≒∊(↹⩛34300∴↹⩛40542⪑⩈))⪮%⊝((⨰⫟⨤↹⩛20550⨼⩣↹⩛12540)⩇∃⫛↹⩛45345⪝↹⩛43404⪥(↹⩛15011⋆⋳))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":83671,"operation_count":13,"complexity_ratio":6436.2307692307695,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":5603,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1882,"base":6},"right_expr":{"type":"numeric_atoms","value":4801,"base":6}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4860,"base":6},"right_expr":{"type":"numeric_atoms","value":5390,"base":6}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2802,"base":6},"right_expr":{"type":"numeric_atoms","value":1932,"base":6}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6401,"base":6},"right_expr":{"type":"numeric_atoms","value":5980,"base":6}},"right_expr":{"type":"unary","operator":"��⋳","unary_expr":{"type":"numeric_atoms","value":2383,"base":6}}}}},"used_operators":["IWmyXbctLI","5KTvxBwnZo","xD69zh8xqp","LkLIoiE525","UMwdvZNt44","C6VvDP6HwP","hrf7POJlIJ","1aApVXNlOP","Tw270M8GLb","JxwMv5le6e","QbnwKVWMIQ","wicAB68Tmb","6MpZysEj17"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5603","layer":4},{"info":"compute unary expreesion, input=5603, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=17687","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=4801","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=4801, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17687, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-2666826","layer":2},{"info":"number node, value=4860","layer":4},{"info":"number node, value=5390","layer":4},{"info":"compute binary expreesion, left_input=4860, right_input=5390, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11368","layer":3},{"info":"compute unary expreesion, input=11368, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=81166","layer":2},{"info":"compute binary expreesion, left_input=-2666826, right_input=81166, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=2667310","layer":1},{"info":"number node, value=2802","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=1932, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=6401","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=6401, right_input=5980, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2083","layer":3},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4798","layer":3},{"info":"compute binary expreesion, left_input=-2083, right_input=-4798, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1798, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2667310, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛41535⇯⋐)⪪↹⩛12414⇡⇂↹⩛34121≒∊(↹⩛34300∴↹⩛40542⪑⩈))⪮%⊝((⨰⫟⨤↹⩛20550⨼⩣↹⩛12540)⩇∃⫛↹⩛45345⪝↹⩛43404⪥(↹⩛15011⋆⋳))=NaN","reverse_text":"NaN=((↹⩛41535⇯⋐)⪪↹⩛12414⇡⇂↹⩛34121≒∊(↹⩛34300∴↹⩛40542⪑⩈))⪮%⊝((⨰⫟⨤↹⩛20550⨼⩣↹⩛12540)⩇∃⫛↹⩛45345⪝↹⩛43404⪥(↹⩛15011⋆⋳))","cot":[{"info":"↹⩛41535⇯⋐=↹⩛213515","layer":3},{"info":"↹⩛12414⇡��↹⩛34121=NaN","layer":3},{"info":"↹⩛213515⪪NaN=↹⩛-133054230","layer":2},{"info":"↹⩛34300∴↹⩛40542=↹⩛124344","layer":3},{"info":"↹⩛124344⪑⩈=↹⩛1423434","layer":2},{"info":"↹⩛-133054230≒∊↹⩛1423434=↹⩛133100354","layer":1},{"info":"↹⩛20550⨼⩣↹⩛12540=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"↹⩛45345⪝↹⩛43404=↹⩛-13351","layer":3},{"info":"↹⩛15011⋆⋳=↹⩛-34114","layer":3},{"info":"↹⩛-13351⪥↹⩛-34114=↹⩛-12154","layer":2},{"info":"NaN⩇∃⫛↹⩛-12154=NaN","layer":1},{"info":"↹⩛133100354⪮%⊝NaN=NaN","layer":0}]} +{"id":495,"expression_no_base_symbol":"⨞⊢(⪭⩑⪱($8089$≎⊠⪸$1376$⊨$1437$⊬⨰$2680$))","expression":"⨞⊢(⪭⩑⪱(↹⩛101241≎⊠⪸↹⩛10212⊨↹⩛10353⊬⨰↹⩛20224))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1110,"operation_count":5,"complexity_ratio":222.0,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8089,"base":6},"right_expr":{"type":"numeric_atoms","value":1376,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1437,"base":6},"right_expr":{"type":"numeric_atoms","value":2680,"base":6}}}}},"used_operators":["xUOZtlo3hN","SIgE0bArFf","vg4gO5BX6G","bJkvcejdHO","s3Fd5m9Dh2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛-454202450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8089","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=8089, right_input=1376, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2094578","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=2680, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11101","layer":3},{"info":"compute binary expreesion, left_input=2094578, right_input=11101, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8379343","layer":2},{"info":"compute unary expreesion, input=8379343, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8320926","layer":0}],"base":6,"result_base":6,"text":"⨞⊢(⪭⩑⪱(↹⩛101241≎⊠⪸↹⩛10212⊨↹⩛10353⊬⨰↹⩛20224))=↹⩛-454202450","reverse_text":"↹⩛-454202450=⨞⊢(⪭⩑⪱(↹⩛101241≎⊠⪸↹⩛10212⊨↹⩛10353⊬⨰↹⩛20224))","cot":[{"info":"↹⩛101241≎⊠⪸↹⩛10212=↹⩛112521042","layer":3},{"info":"↹⩛10353⊬⨰↹⩛20224=↹⩛123221","layer":3},{"info":"↹⩛112521042⊨↹⩛123221=↹⩛455333131","layer":2},{"info":"⪭⩑⪱↹⩛455333131=↹⩛454202000","layer":1},{"info":"⨞⊢↹⩛454202000=↹⩛-454202450","layer":0}]} +{"id":496,"expression_no_base_symbol":"⫇((⇖⫷⫕$5310$)⨚⇆$1446$⊬⨰$5065$*($4724$∠↢$3857$⨽⪊≇))","expression":"⫇((⇖⫷⫕↹⩛40330)⨚⇆↹⩛10410⊬⨰↹⩛35241*(↹⩛33512∠↢↹⩛25505⨽⪊≇))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20634,"operation_count":7,"complexity_ratio":2947.714285714286,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":5310,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1446,"base":6},"right_expr":{"type":"numeric_atoms","value":5065,"base":6}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4724,"base":6},"right_expr":{"type":"numeric_atoms","value":3857,"base":6}}}}},"used_operators":["YjI8oCXuph","9HNa5Wba9A","lwHaAYXP2r","UHmRx3INFg","s3Fd5m9Dh2","nlCqmYiOvY","KbjG8mgYpV"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5310","layer":4},{"info":"compute unary expreesion, input=5310, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=5065","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=5065, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20650","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=20650, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=4724","layer":4},{"info":"number node, value=3857","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=3857, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-71812","layer":3},{"info":"compute unary expreesion, input=-71812, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-144150","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-144150, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫇((⇖⫷⫕↹⩛40330)⨚⇆↹⩛10410⊬⨰↹⩛35241*(↹⩛33512∠↢↹⩛25505⨽⪊≇))=NaN","reverse_text":"NaN=⫇((⇖⫷⫕↹⩛40330)⨚⇆↹⩛10410⊬⨰↹⩛35241*(↹⩛33512∠↢↹⩛25505⨽⪊≇))","cot":[{"info":"⇖⫷⫕↹⩛40330=↹⩛21022","layer":3},{"info":"↹⩛10410⊬⨰↹⩛35241=↹⩛235334","layer":3},{"info":"↹⩛21022⨚⇆↹⩛235334=NaN","layer":2},{"info":"↹⩛33512∠↢↹⩛25505=↹⩛-1312244","layer":3},{"info":"↹⩛-1312244⨽⪊≇=↹⩛-3031210","layer":2},{"info":"NaN*↹⩛-3031210=NaN","layer":1},{"info":"⫇NaN=NaN","layer":0}]} +{"id":497,"expression_no_base_symbol":"((↡$3774$)⊬⨰($5713$⪥$2482$)⊪)⨂≜(($2799$⩘⨬⇊)⪝($1827$⩒⫫$1340$)⫸⊐(↩$6091$→⨶⪴$1264$))","expression":"((↡↹⩛25250)⊬⨰(↹⩛42241⪥↹⩛15254)⊪)⨂≜((↹⩛20543⩘⨬⇊)⪝(↹⩛12243⩒⫫↹⩛10112)⫸⊐(↩↹⩛44111→⨶⪴↹⩛5504))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3063,"operation_count":11,"complexity_ratio":278.45454545454544,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3774,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5713,"base":6},"right_expr":{"type":"numeric_atoms","value":2482,"base":6}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2799,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1827,"base":6},"right_expr":{"type":"numeric_atoms","value":1340,"base":6}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6091,"base":6},"right_expr":{"type":"numeric_atoms","value":1264,"base":6}}}}},"used_operators":["k1SHOSEABc","zVYPLywUTj","s3Fd5m9Dh2","MXaNJeIAZ3","QbnwKVWMIQ","mqXw5SEYmG","wicAB68Tmb","XXmTpEpWTW","KFSx94NKJn","jLgFTUHLKL","bF6eod5Gvf"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3774","layer":4},{"info":"compute unary expreesion, input=3774, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=33966","layer":3},{"info":"number node, value=5713","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=5713, right_input=2482, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=27504","layer":3},{"info":"compute binary expreesion, left_input=33966, right_input=27504, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=142926","layer":2},{"info":"compute unary expreesion, input=142926, 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=2799","layer":4},{"info":"compute unary expreesion, input=2799, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1827","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=1340, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1525","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1525, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=6091","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=6091, right_input=1264, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3792","layer":3},{"info":"compute unary expreesion, input=-3792, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=17788","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17788, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↡↹⩛25250)⊬⨰(↹⩛42241⪥↹⩛15254)⊪)⨂≜((↹⩛20543⩘⨬⇊)⪝(↹⩛12243⩒⫫↹⩛10112)⫸⊐(↩↹⩛44111→⨶⪴↹⩛5504))=NaN","reverse_text":"NaN=((↡↹⩛25250)⊬⨰(↹⩛42241⪥↹⩛15254)⊪)⨂≜((↹⩛20543⩘⨬⇊)⪝(↹⩛12243⩒⫫↹⩛10112)⫸⊐(↩↹⩛44111→⨶⪴↹⩛5504))","cot":[{"info":"↡↹⩛25250=↹⩛421130","layer":3},{"info":"↹⩛42241⪥↹⩛15254=↹⩛331200","layer":3},{"info":"↹⩛421130⊬⨰↹⩛331200=↹⩛3021410","layer":2},{"info":"↹⩛3021410⊪=↹⩛0","layer":1},{"info":"↹⩛20543⩘⨬⇊=NaN","layer":3},{"info":"↹⩛12243⩒⫫↹⩛10112=↹⩛11021","layer":3},{"info":"NaN⪝↹⩛11021=NaN","layer":2},{"info":"↹⩛44111→⨶⪴↹⩛5504=↹⩛-25320","layer":3},{"info":"↩↹⩛-25320=↹⩛214204","layer":2},{"info":"NaN⫸⊐↹⩛214204=NaN","layer":1},{"info":"↹⩛0⨂≜NaN=NaN","layer":0}]} +{"id":498,"expression_no_base_symbol":"⊑(($1037$⋅⇍$5120$)↳∿⪆($6423$⪊≅))⨂≜($3986$⨔≚≋$8136$⪹)","expression":"⊑((↹⩛4445⋅⇍↹⩛35412)↳∿⪆(↹⩛45423⪊≅))⨂≜(↹⩛30242⨔≚≋↹⩛101400⪹)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2904,"operation_count":7,"complexity_ratio":414.85714285714283,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1037,"base":6},"right_expr":{"type":"numeric_atoms","value":5120,"base":6}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":6423,"base":6}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3986,"base":6},"right_expr":{"type":"numeric_atoms","value":8136,"base":6}}}}},"used_operators":["IkUmn0D7oy","k1SHOSEABc","Cw4SuJJGHO","AdZkA7nFnk","bjFbhXSADs","B3sABdIn96","Z57zeUYC9z"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=5120, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6423","layer":4},{"info":"compute unary expreesion, input=6423, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3986","layer":4},{"info":"number node, value=8136","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=8136, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=24236","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24236, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":6,"result_base":6,"text":"⊑((↹⩛4445⋅⇍↹⩛35412)↳∿⪆(↹⩛45423⪊≅))⨂≜(↹⩛30242⨔≚≋↹⩛101400⪹)=↹⩛520","reverse_text":"↹⩛520=⊑((↹⩛4445⋅⇍↹⩛35412)↳∿⪆(↹⩛45423⪊≅))⨂≜(↹⩛30242⨔≚≋↹⩛101400⪹)","cot":[{"info":"↹⩛4445⋅⇍↹⩛35412=↹⩛-34","layer":3},{"info":"↹⩛45423⪊≅=↹⩛0","layer":3},{"info":"↹⩛-34↳∿⪆↹⩛0=NaN","layer":2},{"info":"↹⩛30242⨔≚≋↹⩛101400=↹⩛113412","layer":3},{"info":"↹⩛113412⪹=↹⩛304112","layer":2},{"info":"NaN⨂≜↹⩛304112=NaN","layer":1},{"info":"⊑NaN=↹⩛520","layer":0}]} +{"id":499,"expression_no_base_symbol":"($1525$≧⫂∧$4741$)⫗⊷⫓($4198$⫲≸⪮$2341$)∓⋝(($4599$+⇶⊼$1457$)⩍⋽⫝̸($1502$⊔$5425$))↬(($8681$⫲≸⪮$2311$∠↢(↥$1954$))⨲)","expression":"(↹⩛11021≧⫂∧↹⩛33541)⫗⊷⫓(↹⩛31234⫲≸⪮↹⩛14501)∓⋝((↹⩛33143+⇶⊼↹⩛10425)⩍⋽⫝̸(↹⩛10542⊔↹⩛41041))↬((↹⩛104105⫲≸⪮↹⩛14411∠↢(↥↹⩛13014))⨲)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19332,"operation_count":12,"complexity_ratio":1611.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1525,"base":6},"right_expr":{"type":"numeric_atoms","value":4741,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4198,"base":6},"right_expr":{"type":"numeric_atoms","value":2341,"base":6}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4599,"base":6},"right_expr":{"type":"numeric_atoms","value":1457,"base":6}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1502,"base":6},"right_expr":{"type":"numeric_atoms","value":5425,"base":6}}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8681,"base":6},"right_expr":{"type":"numeric_atoms","value":2311,"base":6}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1954,"base":6}}}}},"used_operators":["B5M0gjZbta","PoHhknlbAi","zashukvMKz","Ph9nP6C5qx","P3lXMJvFrc","BiWNJpBvwn","TpPTUOHfaN","E4l6HwMY31","nLYMGWM7L8","KbjG8mgYpV","A8NUZmVepG"],"dependent_operators":["rGHVDoGpnC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Ph9nP6C5qx","xUOZtlo3hN","AHs5Up7iyr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":4},{"info":"number node, value=4741","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=4741, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4268","layer":3},{"info":"number node, value=4198","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=2341, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4198","layer":3},{"info":"compute binary expreesion, left_input=4268, right_input=4198, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=4599","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=4599, right_input=1457, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1502","layer":4},{"info":"number node, value=5425","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=5425, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=27729","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27729, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=26783","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=26783, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-147","layer":1},{"info":"number node, value=8681","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=8681, right_input=2311, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8681","layer":3},{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":3},{"info":"compute binary expreesion, left_input=8681, right_input=16, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-33866","layer":2},{"info":"compute unary expreesion, input=-33866, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":1},{"info":"compute binary expreesion, left_input=-147, right_input=4683709, 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":6,"result_base":6,"text":"(↹⩛11021≧⫂∧↹⩛33541)⫗⊷⫓(↹⩛31234⫲≸⪮↹⩛14501)∓⋝((↹⩛33143+⇶⊼↹⩛10425)⩍⋽⫝̸(↹⩛10542⊔↹⩛41041))↬((↹⩛104105⫲≸⪮↹⩛14411∠↢(↥↹⩛13014))⨲)=NaN","reverse_text":"NaN=(↹⩛11021≧⫂∧↹⩛33541)⫗⊷⫓(↹⩛31234⫲≸⪮↹⩛14501)∓⋝((↹⩛33143+⇶⊼↹⩛10425)⩍⋽⫝̸(↹⩛10542⊔↹⩛41041))↬((↹⩛104105⫲≸⪮↹⩛14411∠↢(↥↹⩛13014))⨲)","cot":[{"info":"↹⩛11021≧⫂∧↹⩛33541=↹⩛31432","layer":3},{"info":"↹⩛31234⫲≸⪮↹⩛14501=↹⩛31234","layer":3},{"info":"↹⩛31432⫗⊷⫓↹⩛31234=↹⩛-342","layer":2},{"info":"↹⩛33143+⇶⊼↹⩛10425=NaN","layer":3},{"info":"↹⩛10542⊔↹⩛41041=↹⩛332213","layer":3},{"info":"NaN⩍⋽⫝̸↹⩛332213=↹⩛323555","layer":2},{"info":"↹⩛-342∓⋝↹⩛323555=↹⩛-403","layer":1},{"info":"↹⩛104105⫲≸⪮↹⩛14411=↹⩛104105","layer":3},{"info":"↥↹⩛13014=↹⩛24","layer":3},{"info":"↹⩛104105∠↢↹⩛24=↹⩛-420442","layer":2},{"info":"↹⩛-420442⨲=↹⩛244215501","layer":1},{"info":"↹⩛-403↬↹⩛244215501=NaN","layer":0}]} +{"id":500,"expression_no_base_symbol":"≑⋹((($7020$⊅)⫳≱↱(⋗⩬⋾$2603$))⩏)","expression":"≑⋹(((↹⩛52300⊅)⫳≱↱(⋗⩬⋾↹⩛20015))⩏)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1286,"operation_count":5,"complexity_ratio":257.2,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":7020,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2603,"base":6}}}}},"used_operators":["6B9nyZLogK","iA2gmKZ3Wj","ZvLB05nZmT","7p6YLioM7f","DpFCA1CohY"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","z6LnFrNh4i","Tcnh7f0tEr","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-3114","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7020","layer":4},{"info":"compute unary expreesion, input=7020, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=2603","layer":4},{"info":"compute unary expreesion, input=2603, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7809","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-7809, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute unary expreesion, input=-204, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":0}],"base":6,"result_base":6,"text":"≑⋹(((↹⩛52300⊅)⫳≱↱(⋗⩬⋾↹⩛20015))⩏)=↹⩛-3114","reverse_text":"↹⩛-3114=≑⋹(((↹⩛52300⊅)⫳≱↱(⋗⩬⋾↹⩛20015))⩏)","cot":[{"info":"↹⩛52300⊅=↹⩛-450","layer":3},{"info":"⋗⩬⋾↹⩛20015=↹⩛-100053","layer":3},{"info":"↹⩛-450⫳≱↱↹⩛-100053=↹⩛-540","layer":2},{"info":"↹⩛-540⩏=↹⩛0","layer":1},{"info":"≑⋹↹⩛0=↹⩛-3114","layer":0}]} +{"id":501,"expression_no_base_symbol":"↡((($1030$≳⇉$1561$)⪍↜⋙(⪓⩚$1844$))∘($2575$⪟⇏$2547$⊋≦⊧$3257$⨑⩅≇$6425$))","expression":"↡(((↹⩛4434≳⇉↹⩛11121)⪍↜⋙(⪓⩚↹⩛12312))∘(↹⩛15531⪟⇏↹⩛15443⊋≦⊧↹⩛23025⨑⩅≇↹⩛45425))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":48295811,"operation_count":8,"complexity_ratio":6036976.375,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1030,"base":6},"right_expr":{"type":"numeric_atoms","value":1561,"base":6}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1844,"base":6}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2575,"base":6},"right_expr":{"type":"numeric_atoms","value":2547,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3257,"base":6},"right_expr":{"type":"numeric_atoms","value":6425,"base":6}}}}},"used_operators":["MXaNJeIAZ3","Z5m6OM72h2","L05ObWFQCd","V0kx6qeWkN","u0R0Locfp2","oRDoc9rAEX","GODebY97qR","h92wMvzauj"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1561, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1844","layer":4},{"info":"compute unary expreesion, input=1844, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=426, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=2575","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=2547, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=3257","layer":4},{"info":"number node, value=6425","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=6425, 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=-9771","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-9771, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↡(((↹⩛4434≳⇉↹⩛11121)⪍↜⋙(⪓⩚↹⩛12312))∘(↹⩛15531⪟⇏↹⩛15443⊋≦⊧↹⩛23025⨑⩅≇↹⩛45425))=NaN","reverse_text":"NaN=↡(((↹⩛4434≳⇉↹⩛11121)⪍↜⋙(⪓⩚↹⩛12312))∘(↹⩛15531⪟⇏↹⩛15443⊋≦⊧↹⩛23025⨑⩅≇↹⩛45425))","cot":[{"info":"↹⩛4434≳⇉↹⩛11121=NaN","layer":3},{"info":"⪓⩚↹⩛12312=↹⩛1550","layer":3},{"info":"NaN⪍↜⋙↹⩛1550=NaN","layer":2},{"info":"↹⩛15531⪟⇏↹⩛15443=↹⩛-1","layer":3},{"info":"↹⩛23025⨑⩅≇↹⩛45425=↹⩛-113123","layer":3},{"info":"↹⩛-1⊋≦⊧↹⩛-113123=↹⩛520","layer":2},{"info":"NaN∘↹⩛520=NaN","layer":1},{"info":"↡NaN=NaN","layer":0}]} +{"id":502,"expression_no_base_symbol":"≅≯⇸($3073$+⇶⊼$4749$)⋥⋵⩄($1023$⫒⫫$2193$)⩇∃⫛(↥≼⋛($4467$∖$2215$))","expression":"≅≯⇸(↹⩛22121+⇶⊼↹⩛33553)⋥⋵⩄(↹⩛4423⫒⫫↹⩛14053)⩇∃⫛(↥≼⋛(↹⩛32403∖↹⩛14131))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":431,"operation_count":7,"complexity_ratio":61.57142857142857,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3073,"base":6},"right_expr":{"type":"numeric_atoms","value":4749,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1023,"base":6},"right_expr":{"type":"numeric_atoms","value":2193,"base":6}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4467,"base":6},"right_expr":{"type":"numeric_atoms","value":2215,"base":6}}}}},"used_operators":["apS25hmuAe","1aApVXNlOP","7t3wd0Fuz7","TpPTUOHfaN","6Ko8hGgeMq","x5lMkHmzsq","tXD093vOjl"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3073","layer":4},{"info":"number node, value=4749","layer":4},{"info":"compute binary expreesion, left_input=3073, right_input=4749, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2193, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=4467","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=4467, right_input=2215, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=33","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=33, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≅≯⇸(↹⩛22121+⇶⊼↹⩛33553)⋥⋵⩄(↹⩛4423⫒⫫↹⩛14053)⩇∃⫛(↥≼⋛(↹⩛32403∖↹⩛14131))=NaN","reverse_text":"NaN=≅≯⇸(↹⩛22121+⇶⊼↹⩛33553)⋥⋵⩄(↹⩛4423⫒⫫↹⩛14053)⩇∃⫛(↥≼⋛(↹⩛32403∖↹⩛14131))","cot":[{"info":"↹⩛22121+⇶⊼↹⩛33553=NaN","layer":3},{"info":"↹⩛4423⫒⫫↹⩛14053=NaN","layer":3},{"info":"NaN⋥⋵⩄NaN=NaN","layer":2},{"info":"↹⩛32403∖↹⩛14131=↹⩛0","layer":3},{"info":"↥≼⋛↹⩛0=↹⩛53","layer":2},{"info":"NaN⩇∃⫛↹⩛53=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]} +{"id":503,"expression_no_base_symbol":"(⨑⩽⪐($4862$⋭≵$4754$))∙∹∝($2152$⫯⪬∳$4792$⪒$4335$⇴$5819$)⊭↱($2746$⊲⩕⊾$1496$∀⇚≩($3541$⪕$1635$))≹⇙⪍($6431$-$1894$⪁$7310$⫥∨⫟$1808$)","expression":"(⨑⩽⪐(↹⩛34302⋭≵↹⩛34002))∙∹∝(↹⩛13544⫯⪬∳↹⩛34104⪒↹⩛32023⇴↹⩛42535)⊭↱(↹⩛20414⊲⩕⊾↹⩛10532∀⇚≩(↹⩛24221⪕↹⩛11323))≹⇙⪍(↹⩛45435-↹⩛12434⪁↹⩛53502⫥∨⫟↹⩛12212)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":393551,"operation_count":14,"complexity_ratio":28110.785714285714,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4862,"base":6},"right_expr":{"type":"numeric_atoms","value":4754,"base":6}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2152,"base":6},"right_expr":{"type":"numeric_atoms","value":4792,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4335,"base":6},"right_expr":{"type":"numeric_atoms","value":5819,"base":6}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2746,"base":6},"right_expr":{"type":"numeric_atoms","value":1496,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3541,"base":6},"right_expr":{"type":"numeric_atoms","value":1635,"base":6}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6431,"base":6},"right_expr":{"type":"numeric_atoms","value":1894,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7310,"base":6},"right_expr":{"type":"numeric_atoms","value":1808,"base":6}}}}},"used_operators":["COABgblf1C","HmxsFra2vL","AF7qkfDlqP","jBncVCNhdl","f6k1SAg4EE","d7ASUq0ydm","4JB6nKBMSY","AHs5Up7iyr","LRNGc0VcxI","DmTXOeWf9t","umQnsF7QlU","I7sXao9hZE","rysDP5nf3Z","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","X99M06cbEe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4862","layer":4},{"info":"number node, value=4754","layer":4},{"info":"compute binary expreesion, left_input=4862, right_input=4754, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=206","layer":2},{"info":"number node, value=2152","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=4792, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6001","layer":3},{"info":"number node, value=4335","layer":4},{"info":"number node, value=5819","layer":4},{"info":"compute binary expreesion, left_input=4335, right_input=5819, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=37262","layer":3},{"info":"compute binary expreesion, left_input=6001, right_input=37262, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-43263","layer":2},{"info":"compute binary expreesion, left_input=206, right_input=-43263, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2746","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=1496, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-55526","layer":3},{"info":"number node, value=3541","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=1635, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6348","layer":3},{"info":"compute binary expreesion, left_input=-55526, right_input=6348, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6431","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=6431, right_input=1894, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4537","layer":3},{"info":"number node, value=7310","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=7310, right_input=1808, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4537, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨑⩽⪐(↹⩛34302⋭≵↹⩛34002))∙∹∝(↹⩛13544⫯⪬∳↹⩛34104⪒↹⩛32023⇴↹⩛42535)⊭↱(↹⩛20414⊲⩕⊾↹⩛10532∀⇚≩(↹⩛24221⪕↹⩛11323))≹⇙⪍(↹⩛45435-↹⩛12434⪁↹⩛53502⫥∨⫟↹⩛12212)=NaN","reverse_text":"NaN=(⨑⩽⪐(↹⩛34302⋭≵↹⩛34002))∙∹∝(↹⩛13544⫯⪬∳↹⩛34104⪒↹⩛32023⇴↹⩛42535)⊭↱(↹⩛20414⊲⩕⊾↹⩛10532∀⇚≩(↹⩛24221⪕↹⩛11323))≹⇙⪍(↹⩛45435-↹⩛12434⪁↹⩛53502⫥∨⫟↹⩛12212)","cot":[{"info":"↹⩛34302⋭≵↹⩛34002=↹⩛151","layer":3},{"info":"⨑⩽⪐↹⩛151=↹⩛542","layer":2},{"info":"↹⩛13544⫯⪬∳↹⩛34104=↹⩛43441","layer":3},{"info":"↹⩛32023⇴↹⩛42535=↹⩛444302","layer":3},{"info":"↹⩛43441⪒↹⩛444302=↹⩛-532143","layer":2},{"info":"↹⩛542∙∹∝↹⩛-532143=↹⩛0","layer":1},{"info":"↹⩛20414⊲⩕⊾↹⩛10532=↹⩛-1105022","layer":3},{"info":"↹⩛24221⪕↹⩛11323=↹⩛45220","layer":3},{"info":"↹⩛-1105022∀⇚≩↹⩛45220=NaN","layer":2},{"info":"↹⩛45435-↹⩛12434=↹⩛33001","layer":3},{"info":"↹⩛53502⫥∨⫟↹⩛12212=NaN","layer":3},{"info":"↹⩛33001⪁NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"↹⩛0⊭↱NaN=NaN","layer":0}]} +{"id":504,"expression_no_base_symbol":"(⩒∊($4165$∛$2993$)⨥⫆$1670$≦↸$4332$)-(($5621$⪛$1806$)⊢(≛$2220$)⊝)","expression":"(⩒∊(↹⩛31141∛↹⩛21505)⨥⫆↹⩛11422≦↸↹⩛32020)-((↹⩛42005⪛↹⩛12210)⊢(≛↹⩛14140)⊝)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":192,"operation_count":9,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4165,"base":6},"right_expr":{"type":"numeric_atoms","value":2993,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1670,"base":6},"right_expr":{"type":"numeric_atoms","value":4332,"base":6}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5621,"base":6},"right_expr":{"type":"numeric_atoms","value":1806,"base":6}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2220,"base":6}}}}},"used_operators":["rysDP5nf3Z","qazvmhNBbN","yXekIHxTD4","w2537kitQq","RygbFNSyEJ","O6EZ0fifGK","5twsqlHp2o","uFcxV4UQCh","W7eaUhjymW"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"↹⩛-2522","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4165","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=4165, right_input=2993, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=4332, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11323","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-11323, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1276","layer":1},{"info":"number node, value=5621","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=5621, right_input=1806, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=203","layer":3},{"info":"number node, value=2220","layer":4},{"info":"compute unary expreesion, input=2220, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=203, right_input=-10, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-650","layer":2},{"info":"compute unary expreesion, input=-650, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-650","layer":1},{"info":"compute binary expreesion, left_input=-1276, right_input=-650, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-626","layer":0}],"base":6,"result_base":6,"text":"(⩒∊(↹⩛31141∛↹⩛21505)⨥⫆↹⩛11422≦↸↹⩛32020)-((↹⩛42005⪛↹⩛12210)⊢(≛↹⩛14140)⊝)=↹⩛-2522","reverse_text":"↹⩛-2522=(⩒∊(↹⩛31141∛↹⩛21505)⨥⫆↹⩛11422≦↸↹⩛32020)-((↹⩛42005⪛↹⩛12210)⊢(≛↹⩛14140)⊝)","cot":[{"info":"↹⩛31141∛↹⩛21505=↹⩛-3034","layer":3},{"info":"↹⩛11422≦↸↹⩛32020=↹⩛-124231","layer":3},{"info":"↹⩛-3034⨥⫆↹⩛-124231=↹⩛-1","layer":2},{"info":"⩒∊↹⩛-1=↹⩛-5524","layer":1},{"info":"↹⩛42005⪛↹⩛12210=↹⩛535","layer":3},{"info":"≛↹⩛14140=↹⩛-14","layer":3},{"info":"↹⩛535⊢↹⩛-14=↹⩛-3002","layer":2},{"info":"↹⩛-3002⊝=↹⩛-3002","layer":1},{"info":"↹⩛-5524-↹⩛-3002=↹⩛-2522","layer":0}]} +{"id":505,"expression_no_base_symbol":"($2877$⪝$1497$⩷∴(⋎⨆$1077$))⋕⪉⪜(⇵⪽($2036$∀⇚≩$1462$))%(∤$4538$⋅⇍$2923$)⫔⩽⩺($6008$⫔⩽⩺$1329$*(⇨$2907$))","expression":"(↹⩛21153⪝↹⩛10533⩷∴(⋎⨆↹⩛4553))⋕⪉⪜(⇵⪽(↹⩛13232∀⇚≩↹⩛10434))%(∤↹⩛33002⋅⇍↹⩛21311)⫔⩽⩺(↹⩛43452⫔⩽⩺↹⩛10053*(⇨↹⩛21243))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14808,"operation_count":13,"complexity_ratio":1139.076923076923,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"���","left_expr":{"type":"numeric_atoms","value":2877,"base":6},"right_expr":{"type":"numeric_atoms","value":1497,"base":6}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1077,"base":6}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2036,"base":6},"right_expr":{"type":"numeric_atoms","value":1462,"base":6}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4538,"base":6},"right_expr":{"type":"numeric_atoms","value":2923,"base":6}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6008,"base":6},"right_expr":{"type":"numeric_atoms","value":1329,"base":6}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2907,"base":6}}}}},"used_operators":["k8jYdgA6NY","z6LnFrNh4i","9FxExcQeMw","wicAB68Tmb","E64sFOc4tB","ZGCBLdVRRX","LRNGc0VcxI","i9eR4S00cU","k2HlF1dBQh","AdZkA7nFnk","9HNa5Wba9A","G9tJMlZ94a"],"dependent_operators":["rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","U7g4x0WXJJ","X99M06cbEe","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2877","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1497, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5919","layer":3},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5919, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11870","layer":2},{"info":"number node, value=2036","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=1462, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-11870, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=4538","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=2923, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=6008","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=6008, right_input=1329, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2907","layer":4},{"info":"compute unary expreesion, input=2907, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21153⪝↹⩛10533⩷∴(⋎⨆↹⩛4553))⋕⪉⪜(⇵⪽(↹⩛13232∀⇚≩↹⩛10434))%(∤↹⩛33002⋅⇍↹⩛21311)⫔⩽⩺(↹⩛43452⫔⩽⩺↹⩛10053*(⇨↹⩛21243))=NaN","reverse_text":"NaN=(↹⩛21153⪝↹⩛10533⩷∴(⋎⨆↹⩛4553))⋕⪉⪜(⇵⪽(↹⩛13232∀⇚≩↹⩛10434))%(∤↹⩛33002⋅⇍↹⩛21311)⫔⩽⩺(↹⩛43452⫔⩽⩺↹⩛10053*(⇨↹⩛21243))","cot":[{"info":"↹⩛21153⪝↹⩛10533=↹⩛-43223","layer":3},{"info":"⋎⨆↹⩛4553=↹⩛0","layer":3},{"info":"↹⩛-43223⩷∴↹⩛0=↹⩛-130542","layer":2},{"info":"↹⩛13232∀⇚≩↹⩛10434=NaN","layer":3},{"info":"⇵⪽NaN=NaN","layer":2},{"info":"↹⩛-130542⋕⪉⪜NaN=↹⩛540","layer":1},{"info":"↹⩛33002⋅⇍↹⩛21311=↹⩛-34","layer":3},{"info":"∤↹⩛-34=↹⩛13","layer":2},{"info":"↹⩛43452⫔⩽⩺↹⩛10053=NaN","layer":3},{"info":"⇨↹⩛21243=↹⩛0","layer":3},{"info":"NaN*↹⩛0=NaN","layer":2},{"info":"↹⩛13⫔⩽⩺NaN=NaN","layer":1},{"info":"↹⩛540%NaN=NaN","layer":0}]} +{"id":506,"expression_no_base_symbol":"(⇨(($1161$∙⊟$5352$)⋾⨃∁($2446$⊪)))∷(($7598$⨰$1149$)⨟⋌⩍($1460$∙∹∝$1574$))⩣⫁∢(($2260$⩉⊫⨁)⪛⫼$6092$⇤$2080$)","expression":"(⇨((↹⩛5213∙⊟↹⩛40440)⋾⨃∁(↹⩛15154⊪)))∷((↹⩛55102⨰↹⩛5153)⨟⋌⩍(↹⩛10432∙∹∝↹⩛11142))⩣⫁∢((↹⩛14244⩉⊫⨁)⪛⫼↹⩛44112⇤↹⩛13344)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1494,"operation_count":12,"complexity_ratio":124.5,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1161,"base":6},"right_expr":{"type":"numeric_atoms","value":5352,"base":6}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2446,"base":6}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7598,"base":6},"right_expr":{"type":"numeric_atoms","value":1149,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1460,"base":6},"right_expr":{"type":"numeric_atoms","value":1574,"base":6}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2260,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6092,"base":6},"right_expr":{"type":"numeric_atoms","value":2080,"base":6}}}}},"used_operators":["D3AQDKkPcf","G9tJMlZ94a","212REbPD9h","SxTAKzQCrw","zVYPLywUTj","JDUIKTTSIa","rGHVDoGpnC","eewbuw0ToL","HmxsFra2vL","hyuBjUqXlG","7qqUquhhSb","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","k8jYdgA6NY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛-3402","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":4},{"info":"number node, value=5352","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=5352, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24939","layer":3},{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=24939, 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":2},{"info":"compute unary expreesion, input=-94, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=7598","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=7598, right_input=1149, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6459","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=1574, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6459, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=6459","layer":2},{"info":"number node, value=2260","layer":4},{"info":"compute unary expreesion, input=2260, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2260","layer":3},{"info":"number node, value=6092","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=6092, right_input=2080, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-38012","layer":3},{"info":"compute binary expreesion, left_input=2260, right_input=-38012, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1153","layer":2},{"info":"compute binary expreesion, left_input=6459, right_input=-1153, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12757","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-12757, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":0}],"base":6,"result_base":6,"text":"(⇨((↹⩛5213∙⊟↹⩛40440)⋾⨃∁(↹⩛15154⊪)))∷((↹⩛55102⨰↹⩛5153)⨟⋌⩍(↹⩛10432∙∹∝↹⩛11142))⩣⫁∢((↹⩛14244⩉⊫⨁)⪛⫼↹⩛44112⇤↹⩛13344)=↹⩛-3402","reverse_text":"↹⩛-3402=(⇨((↹⩛5213∙⊟↹⩛40440)⋾⨃∁(↹⩛15154⊪)))∷((↹⩛55102⨰↹⩛5153)⨟⋌⩍(↹⩛10432∙∹∝↹⩛11142))⩣⫁∢((↹⩛14244⩉⊫⨁)⪛⫼↹⩛44112⇤↹⩛13344)","cot":[{"info":"↹⩛5213∙⊟↹⩛40440=↹⩛311243","layer":3},{"info":"↹⩛15154⊪=↹⩛0","layer":3},{"info":"↹⩛311243⋾⨃∁↹⩛0=↹⩛-234","layer":2},{"info":"⇨↹⩛-234=↹⩛0","layer":1},{"info":"↹⩛55102⨰↹⩛5153=↹⩛45523","layer":3},{"info":"↹⩛10432∙∹∝↹⩛11142=↹⩛0","layer":3},{"info":"↹⩛45523⨟⋌⩍↹⩛0=↹⩛45523","layer":2},{"info":"↹⩛14244⩉⊫⨁=↹⩛14244","layer":3},{"info":"↹⩛44112⇤↹⩛13344=↹⩛-451552","layer":3},{"info":"↹⩛14244⪛⫼↹⩛-451552=↹⩛-5201","layer":2},{"info":"↹⩛45523⩣⫁∢↹⩛-5201=↹⩛-135021","layer":1},{"info":"↹⩛0∷↹⩛-135021=↹⩛-3402","layer":0}]} +{"id":507,"expression_no_base_symbol":"(⫯(($1252$⊜)⪥(↔$4903$)))⨽∌(($5402$⫘$3034$)≁↽≥($1060$⩚⊴⇥$2602$)⩹(⋃$1739$)∋$2777$≁↽≥$2368$)","expression":"(⫯((↹⩛5444⊜)⪥(↔↹⩛34411)))⨽∌((↹⩛41002⫘↹⩛22014)≁↽≥(↹⩛4524⩚⊴⇥↹⩛20014)⩹(⋃↹⩛12015)∋↹⩛20505≁↽≥↹⩛14544)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9730,"operation_count":12,"complexity_ratio":810.8333333333334,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1252,"base":6}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4903,"base":6}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5402,"base":6},"right_expr":{"type":"numeric_atoms","value":3034,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1060,"base":6},"right_expr":{"type":"numeric_atoms","value":2602,"base":6}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1739,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2777,"base":6},"right_expr":{"type":"numeric_atoms","value":2368,"base":6}}}}},"used_operators":["9samAPKr6k","H6BK1Evt7c","QbnwKVWMIQ","Eev2Q7dYIw","ruOEQAzv1W","2Wsdkap16l","ncHt1X6cMc","48vC8HMD2b","NTOWxs364D","ukq6epAj5P","3mBM5G4a3l"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","oWn0xqSxBt","3Oe9XWJUTD","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g55IO6H4Gj"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-3272","layer":3},{"info":"number node, value=4903","layer":4},{"info":"compute unary expreesion, input=4903, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4630","layer":3},{"info":"compute binary expreesion, left_input=-3272, right_input=-4630, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute unary expreesion, input=-1798, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=60700","layer":1},{"info":"number node, value=5402","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=3034, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6357157","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=2602, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3783","layer":3},{"info":"compute binary expreesion, left_input=6357157, right_input=-3783, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3580","layer":3},{"info":"number node, value=2777","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=2368, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=41209","layer":3},{"info":"compute binary expreesion, left_input=3580, right_input=41209, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=85517536","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=85517536, 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=85517534","layer":1},{"info":"compute binary expreesion, left_input=60700, right_input=85517534, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⫯((↹⩛5444⊜)⪥(↔↹⩛34411)))⨽∌((↹⩛41002⫘↹⩛22014)≁↽≥(↹⩛4524⩚⊴⇥↹⩛20014)⩹(⋃↹⩛12015)∋↹⩛20505≁↽≥↹⩛14544)=↹⩛0","reverse_text":"↹⩛0=(⫯((↹⩛5444⊜)⪥(↔↹⩛34411)))⨽∌((↹⩛41002⫘↹⩛22014)≁↽≥(↹⩛4524⩚⊴⇥↹⩛20014)⩹(⋃↹⩛12015)∋↹⩛20505≁↽≥↹⩛14544)","cot":[{"info":"↹⩛5444⊜=↹⩛-23052","layer":3},{"info":"↔↹⩛34411=↹⩛-33234","layer":3},{"info":"↹⩛-23052⪥↹⩛-33234=↹⩛-12154","layer":2},{"info":"⫯↹⩛-12154=↹⩛1145004","layer":1},{"info":"↹⩛41002⫘↹⩛22014=↹⩛344131141","layer":3},{"info":"↹⩛4524⩚⊴⇥↹⩛20014=↹⩛-25303","layer":3},{"info":"↹⩛344131141≁↽≥↹⩛-25303=↹⩛524","layer":2},{"info":"⋃↹⩛12015=↹⩛24324","layer":3},{"info":"↹⩛20505≁↽≥↹⩛14544=↹⩛514441","layer":3},{"info":"↹⩛24324∋↹⩛514441=↹⩛12252534304","layer":2},{"info":"↹⩛524⩹↹⩛12252534304=↹⩛12252534302","layer":1},{"info":"↹⩛1145004⨽∌↹⩛12252534302=↹⩛0","layer":0}]} +{"id":508,"expression_no_base_symbol":"⪛⨧($1053$⊔$3233$⇴∐$1492$≁↽≥$1565$∕⩚$5055$↳≱$2774$⨔⇊$2719$⇡⇂$1642$)","expression":"⪛⨧(↹⩛4513⊔↹⩛22545⇴∐↹⩛10524≁↽≥↹⩛11125∕⩚↹⩛35223↳≱↹⩛20502⨔⇊↹⩛20331⇡⇂↹⩛11334)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10187,"operation_count":8,"complexity_ratio":1273.375,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1053,"base":6},"right_expr":{"type":"numeric_atoms","value":3233,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1492,"base":6},"right_expr":{"type":"numeric_atoms","value":1565,"base":6}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5055,"base":6},"right_expr":{"type":"numeric_atoms","value":2774,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2719,"base":6},"right_expr":{"type":"numeric_atoms","value":1642,"base":6}}}}},"used_operators":["6NJAcO2OWT","z9ffQ9n5Zr","HnzytWxmAO","E4l6HwMY31","ncHt1X6cMc","JclMnS0uGI","JwTKLfZU96","UMwdvZNt44"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"↹⩛1551","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=3233, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15871","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1565, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26110","layer":3},{"info":"compute binary expreesion, left_input=15871, right_input=26110, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=5055","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=5055, right_input=2774, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2719","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=1642, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute unary expreesion, input=-487, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=427","layer":0}],"base":6,"result_base":6,"text":"⪛⨧(↹⩛4513⊔↹⩛22545⇴∐↹⩛10524≁↽≥↹⩛11125∕⩚↹⩛35223↳≱↹⩛20502⨔⇊↹⩛20331⇡⇂↹⩛11334)=↹⩛1551","reverse_text":"↹⩛1551=⪛⨧(↹⩛4513⊔↹⩛22545⇴∐↹⩛10524≁↽≥↹⩛11125∕⩚↹⩛35223↳≱↹⩛20502⨔⇊↹⩛20331⇡⇂↹⩛11334)","cot":[{"info":"↹⩛4513⊔↹⩛22545=↹⩛201251","layer":3},{"info":"↹⩛10524≁↽≥↹⩛11125=↹⩛320514","layer":3},{"info":"↹⩛201251⇴∐↹⩛320514=NaN","layer":2},{"info":"↹⩛35223↳≱↹⩛20502=↹⩛0","layer":3},{"info":"↹⩛20331⇡⇂↹⩛11334=NaN","layer":3},{"info":"↹⩛0⨔⇊NaN=NaN","layer":2},{"info":"NaN∕⩚NaN=↹⩛-2131","layer":1},{"info":"⪛⨧↹⩛-2131=↹⩛1551","layer":0}]} +{"id":509,"expression_no_base_symbol":"(≛$1526$)⩘($4106$⩹$3763$)∝(⇘$6219$)⪮%⊝($3382$⋝⋈⪟$8605$)∙⊟(⫶⊄≣$8065$)⋥⋵⩄$2467$∓⋝$2442$⊝⪿⪼($1852$⪨≂$3038$)∣$2033$≦↸$3393$","expression":"(≛↹⩛11022)⩘(↹⩛31002⩹↹⩛25231)∝(⇘↹⩛44443)⪮%⊝(↹⩛23354⋝⋈⪟↹⩛103501)∙⊟(⫶⊄≣↹⩛101201)⋥⋵⩄↹⩛15231∓⋝↹⩛15150⊝⪿⪼(↹⩛12324⪨≂↹⩛22022)∣↹⩛13225≦↸↹⩛23413","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21063,"operation_count":15,"complexity_ratio":1404.2,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1526,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4106,"base":6},"right_expr":{"type":"numeric_atoms","value":3763,"base":6}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":6219,"base":6}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3382,"base":6},"right_expr":{"type":"numeric_atoms","value":8605,"base":6}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":8065,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2467,"base":6},"right_expr":{"type":"numeric_atoms","value":2442,"base":6}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1852,"base":6},"right_expr":{"type":"numeric_atoms","value":3038,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2033,"base":6},"right_expr":{"type":"numeric_atoms","value":3393,"base":6}}}}},"used_operators":["SxTAKzQCrw","cTDWOvIxvz","cHh1gJQ2o6","W7eaUhjymW","2Wsdkap16l","IWmyXbctLI","MGuIdZPyUC","2DDjHMKMc0","3Oe9XWJUTD","7t3wd0Fuz7","wxb3vTeyAj","PoHhknlbAi","PPChnnnBFF","sdazOOVcIp","RygbFNSyEJ"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"↹⩛233124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=4106","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=4106, right_input=3763, 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=3761","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=3761, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=6219","layer":4},{"info":"compute unary expreesion, input=6219, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=367522","layer":3},{"info":"number node, value=3382","layer":4},{"info":"number node, value=8605","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=8605, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3382","layer":3},{"info":"compute binary expreesion, left_input=367522, right_input=3382, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=735360","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=735360, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=165","layer":1},{"info":"number node, value=8065","layer":4},{"info":"compute unary expreesion, input=8065, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1170937909","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=2442, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=1170937909, right_input=67, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=1852","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=3038, 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=-2270","layer":3},{"info":"number node, value=2033","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=3393, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳���(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10171","layer":3},{"info":"compute binary expreesion, left_input=-2270, right_input=-10171, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2754","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=2754, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=11627","layer":1},{"info":"compute binary expreesion, left_input=165, right_input=11627, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20140","layer":0}],"base":6,"result_base":6,"text":"(≛↹⩛11022)⩘(↹⩛31002⩹↹⩛25231)∝(⇘↹⩛44443)⪮%⊝(↹⩛23354⋝⋈⪟↹⩛103501)∙⊟(⫶⊄≣↹⩛101201)⋥⋵⩄↹⩛15231∓⋝↹⩛15150⊝⪿⪼(↹⩛12324⪨≂↹⩛22022)∣↹⩛13225≦↸↹⩛23413=↹⩛233124","reverse_text":"↹⩛233124=(≛↹⩛11022)⩘(↹⩛31002⩹↹⩛25231)∝(⇘↹⩛44443)⪮%⊝(↹⩛23354⋝⋈⪟↹⩛103501)∙⊟(⫶⊄≣↹⩛101201)⋥⋵⩄↹⩛15231∓⋝↹⩛15150⊝⪿⪼(↹⩛12324⪨≂↹⩛22022)∣↹⩛13225≦↸↹⩛23413","cot":[{"info":"≛↹⩛11022=↹⩛-14","layer":3},{"info":"↹⩛31002⩹↹⩛25231=↹⩛25225","layer":3},{"info":"↹⩛-14⩘↹⩛25225=↹⩛424","layer":2},{"info":"⇘↹⩛44443=↹⩛11513254","layer":3},{"info":"↹⩛23354⋝⋈⪟↹⩛103501=↹⩛23354","layer":3},{"info":"↹⩛11513254⪮%⊝↹⩛23354=↹⩛23432240","layer":2},{"info":"↹⩛424∝↹⩛23432240=↹⩛433","layer":1},{"info":"⫶⊄≣↹⩛101201=↹⩛312105132501","layer":3},{"info":"↹⩛15231∓⋝↹⩛15150=↹⩛151","layer":3},{"info":"↹⩛312105132501⋥⋵⩄↹⩛151=↹⩛305","layer":2},{"info":"↹⩛12324⪨≂↹⩛22022=↹⩛-14302","layer":3},{"info":"↹⩛13225≦↸↹⩛23413=↹⩛-115031","layer":3},{"info":"↹⩛-14302∣↹⩛-115031=↹⩛20430","layer":2},{"info":"↹⩛305⊝⪿⪼↹⩛20430=↹⩛125455","layer":1},{"info":"↹⩛433∙⊟↹⩛125455=↹⩛233124","layer":0}]} +{"id":510,"expression_no_base_symbol":"((≔(⊙↵-$5451$))⨵⪆(($8076$⫦⪉$1913$)⩱))⨔≚≋((≪($1630$∷))⪇≇⋚($1146$∝$1454$)∀⇚≩(⪭⩑⪱$4196$))","expression":"((≔(⊙↵-↹⩛41123))⨵⪆((↹⩛101220⫦⪉↹⩛12505)⩱))⨔≚≋((≪(↹⩛11314∷))⪇≇⋚(↹⩛5150∝↹⩛10422)∀⇚≩(⪭⩑⪱↹⩛31232))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":64757,"operation_count":12,"complexity_ratio":5396.416666666667,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5451,"base":6}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":8076,"base":6},"right_expr":{"type":"numeric_atoms","value":1913,"base":6}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1630,"base":6}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1146,"base":6},"right_expr":{"type":"numeric_atoms","value":1454,"base":6}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":4196,"base":6}}}}},"used_operators":["Z57zeUYC9z","2DQ55sFlQl","8FLs4eVsLt","oWn0xqSxBt","uyq1hVkAcj","wscyQdcy20","3sJ7IOPOlU","Qtd6bqUJcN","nFAOW8KTqp","LRNGc0VcxI","cTDWOvIxvz","SIgE0bArFf"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","X99M06cbEe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"↹⩛113412","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5451","layer":4},{"info":"compute unary expreesion, input=5451, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=1322","layer":2},{"info":"number node, value=8076","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=8076, right_input=1913, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-11252","layer":3},{"info":"compute unary expreesion, input=-11252, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=67262","layer":2},{"info":"compute binary expreesion, left_input=1322, right_input=67262, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4890","layer":3},{"info":"compute unary expreesion, input=4890, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=1146","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1454, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1151","layer":3},{"info":"number node, value=4196","layer":4},{"info":"compute unary expreesion, input=4196, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=1151, right_input=8320752, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":6,"result_base":6,"text":"((≔(⊙↵-↹⩛41123))⨵⪆((↹⩛101220⫦⪉↹⩛12505)⩱))⨔≚≋((≪(↹⩛11314∷))⪇≇⋚(↹⩛5150∝↹⩛10422)∀⇚≩(⪭⩑⪱↹⩛31232))=↹⩛113412","reverse_text":"↹⩛113412=((≔(⊙↵-↹⩛41123))⨵⪆((↹⩛101220⫦⪉↹⩛12505)⩱))⨔≚≋((≪(↹⩛11314∷))⪇≇⋚(↹⩛5150∝↹⩛10422)∀⇚≩(⪭⩑⪱↹⩛31232))","cot":[{"info":"⊙↵-↹⩛41123=↹⩛-1","layer":3},{"info":"≔↹⩛-1=↹⩛10042","layer":2},{"info":"↹⩛101220⫦⪉↹⩛12505=↹⩛-124032","layer":3},{"info":"↹⩛-124032⩱=↹⩛1235222","layer":2},{"info":"↹⩛10042⨵⪆↹⩛1235222=↹⩛424","layer":1},{"info":"↹⩛11314∷=↹⩛34350","layer":3},{"info":"≪↹⩛34350=↹⩛4121","layer":2},{"info":"↹⩛5150∝↹⩛10422=↹⩛5155","layer":3},{"info":"⪭⩑⪱↹⩛31232=↹⩛454202000","layer":3},{"info":"↹⩛5155∀⇚≩↹⩛454202000=NaN","layer":2},{"info":"↹⩛4121⪇≇⋚NaN=↹⩛0","layer":1},{"info":"↹⩛424⨔≚≋↹⩛0=↹⩛113412","layer":0}]} +{"id":511,"expression_no_base_symbol":"(($3745$∇⊂⋱$1384$∖$1312$⪄$1578$)↙(($1210$⇔⨋)⩠))⪭≯($9683$⩘$4594$⩺⪪$1693$≝⊿$1023$)⊴(→⩰$2346$⊋$3117$)","expression":"((↹⩛25201∇⊂⋱↹⩛10224∖↹⩛10024⪄↹⩛11150)↙((↹⩛5334⇔⨋)⩠))⪭≯(↹⩛112455⩘↹⩛33134⩺⪪↹⩛11501≝⊿↹⩛4423)⊴(→⩰↹⩛14510⊋↹⩛22233)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2433,"operation_count":13,"complexity_ratio":187.15384615384616,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3745,"base":6},"right_expr":{"type":"numeric_atoms","value":1384,"base":6}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1312,"base":6},"right_expr":{"type":"numeric_atoms","value":1578,"base":6}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1210,"base":6}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":9683,"base":6},"right_expr":{"type":"numeric_atoms","value":4594,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1693,"base":6},"right_expr":{"type":"numeric_atoms","value":1023,"base":6}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2346,"base":6},"right_expr":{"type":"numeric_atoms","value":3117,"base":6}}}}},"used_operators":["XAx5wpdLa6","yyfyN0ffXY","tXD093vOjl","nhYeJWJD5X","SUmda5xLS4","sJAwomhLZr","uBihLCJcMX","Nsiff2A1zJ","uvdQJvN4PV","cHh1gJQ2o6","OKKcZfAt5B","o8Pngz0Tml","W4tP9CfskL"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","12rbrZMWeM","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3745","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=1384, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6944","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1578, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-196577","layer":3},{"info":"compute binary expreesion, left_input=6944, right_input=-196577, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=6190","layer":3},{"info":"compute unary expreesion, input=6190, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=9683","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=9683, right_input=4594, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=1023, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4272","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4272, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":2},{"info":"number node, value=2346","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=3117, 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=-17781744","layer":3},{"info":"compute unary expreesion, input=-17781744, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1914, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛25201∇⊂⋱↹⩛10224∖↹⩛10024⪄↹⩛11150)↙((↹⩛5334⇔⨋)⩠))⪭≯(↹⩛112455⩘↹⩛33134⩺⪪↹⩛11501≝⊿↹⩛4423)⊴(→⩰↹⩛14510⊋↹⩛22233)=NaN","reverse_text":"NaN=((↹⩛25201∇⊂⋱↹⩛10224∖↹⩛10024⪄↹⩛11150)↙((↹⩛5334⇔⨋)⩠))⪭≯(↹⩛112455⩘↹⩛33134⩺⪪↹⩛11501≝⊿↹⩛4423)⊴(→⩰↹⩛14510⊋↹⩛22233)","cot":[{"info":"↹⩛25201∇⊂⋱↹⩛10224=↹⩛52052","layer":3},{"info":"↹⩛10024⪄↹⩛11150=↹⩛-4114025","layer":3},{"info":"↹⩛52052∖↹⩛-4114025=↹⩛0","layer":2},{"info":"↹⩛5334⇔⨋=↹⩛44354","layer":3},{"info":"↹⩛44354⩠=↹⩛0","layer":2},{"info":"↹⩛0↙↹⩛0=↹⩛0","layer":1},{"info":"↹⩛112455⩘↹⩛33134=↹⩛424","layer":3},{"info":"↹⩛11501≝⊿↹⩛4423=↹⩛-31440","layer":3},{"info":"↹⩛424⩺⪪↹⩛-31440=↹⩛12510","layer":2},{"info":"↹⩛14510⊋↹⩛22233=↹⩛-1433042520","layer":3},{"info":"→⩰↹⩛-1433042520=NaN","layer":2},{"info":"↹⩛12510⊴NaN=NaN","layer":1},{"info":"↹⩛0⪭≯NaN=NaN","layer":0}]} +{"id":512,"expression_no_base_symbol":"(($1345$⇌⫙⪟$7392$)≹⇙⪍($1553$⩒⫫$4243$)∽(∟⋨$4642$)⨳⩥⨓($1863$⊍⩺⋍$2026$))≀⩗∶(($5553$∠⫱$2518$)⪨⊡(⨣⨃⇪$4135$)⋻⩜⩜($2803$⪝$6884$⫡⨏$1771$∲⫓$1016$))","expression":"((↹⩛10121⇌⫙⪟↹⩛54120)≹⇙⪍(↹⩛11105⩒⫫↹⩛31351)∽(∟⋨↹⩛33254)⨳⩥⨓(↹⩛12343⊍⩺⋍↹⩛13214))≀⩗∶((↹⩛41413∠⫱↹⩛15354)⪨⊡(⨣⨃⇪↹⩛31051)⋻⩜⩜(↹⩛20551⪝↹⩛51512⫡⨏↹⩛12111∲⫓↹⩛4412))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5481,"operation_count":15,"complexity_ratio":365.4,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1345,"base":6},"right_expr":{"type":"numeric_atoms","value":7392,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1553,"base":6},"right_expr":{"type":"numeric_atoms","value":4243,"base":6}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4642,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1863,"base":6},"right_expr":{"type":"numeric_atoms","value":2026,"base":6}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5553,"base":6},"right_expr":{"type":"numeric_atoms","value":2518,"base":6}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4135,"base":6}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2803,"base":6},"right_expr":{"type":"numeric_atoms","value":6884,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1771,"base":6},"right_expr":{"type":"numeric_atoms","value":1016,"base":6}}}}},"used_operators":["8INZBEW696","y4ImoPnbV5","AHs5Up7iyr","AFVx7xoS7T","KFSx94NKJn","nCS4ZIUYfx","ctOc4cKSDt","OXDGMFPWZM","oDCm7WA9JY","kuIXHzHcAH","QvoQhV0rrE","AcOhelriW5","QMFrweE19q","wicAB68Tmb","i8ToyICDmI"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","QMFrweE19q","dWAJyo7jo9","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","tmPS8pqC7x","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=7392","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=7392, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1553","layer":4},{"info":"number node, value=4243","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=4243, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1251","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1251, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4642","layer":4},{"info":"compute unary expreesion, input=4642, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4158","layer":3},{"info":"number node, value=1863","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=2026, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4158, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=5553","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=5553, right_input=2518, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1405, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2803","layer":4},{"info":"number node, value=6884","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=6884, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1771","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=1016, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=1968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1968, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1924","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1924, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10121⇌⫙⪟↹⩛54120)≹⇙⪍(↹⩛11105⩒⫫↹⩛31351)∽(∟⋨↹⩛33254)⨳⩥⨓(↹⩛12343⊍⩺⋍↹⩛13214))≀⩗∶((↹⩛41413∠⫱↹⩛15354)⪨⊡(⨣⨃⇪↹⩛31051)⋻⩜⩜(↹⩛20551⪝↹⩛51512⫡⨏↹⩛12111∲⫓↹⩛4412))=NaN","reverse_text":"NaN=((↹⩛10121⇌⫙⪟↹⩛54120)≹⇙⪍(↹⩛11105⩒⫫↹⩛31351)∽(∟⋨↹⩛33254)⨳⩥⨓(↹⩛12343⊍⩺⋍↹⩛13214))≀⩗∶((↹⩛41413∠⫱↹⩛15354)⪨⊡(⨣⨃⇪↹⩛31051)⋻⩜⩜(↹⩛20551⪝↹⩛51512⫡⨏↹⩛12111∲⫓↹⩛4412))","cot":[{"info":"↹⩛10121⇌⫙⪟↹⩛54120=↹⩛305","layer":3},{"info":"↹⩛11105⩒⫫↹⩛31351=↹⩛5443","layer":3},{"info":"↹⩛305≹⇙⪍↹⩛5443=NaN","layer":2},{"info":"∟⋨↹⩛33254=↹⩛-31130","layer":3},{"info":"↹⩛12343⊍⩺⋍↹⩛13214=NaN","layer":3},{"info":"↹⩛-31130⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN∽NaN=NaN","layer":1},{"info":"↹⩛41413∠⫱↹⩛15354=↹⩛5414","layer":3},{"info":"⨣⨃⇪↹⩛31051=↹⩛10301","layer":3},{"info":"↹⩛5414⪨⊡↹⩛10301=↹⩛0","layer":2},{"info":"↹⩛20551⪝↹⩛51512=↹⩛1033","layer":3},{"info":"↹⩛12111∲⫓↹⩛4412=↹⩛0","layer":3},{"info":"↹⩛1033⫡⨏↹⩛0=↹⩛13040","layer":2},{"info":"↹⩛0⋻⩜⩜↹⩛13040=↹⩛12524","layer":1},{"info":"NaN≀⩗∶↹⩛12524=NaN","layer":0}]} +{"id":513,"expression_no_base_symbol":"(-$3722$)≨(≤/$3194$)⩇∃⫛($5522$∌↝$1089$)⫞⩸⩒($1068$⪇≇⋚$1547$)⪥⨬⪅","expression":"(-↹⩛25122)≨(≤/↹⩛22442)⩇∃⫛(↹⩛41322∌↝↹⩛5013)⫞⩸⩒(↹⩛4540⪇≇⋚↹⩛11055)⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23633,"operation_count":8,"complexity_ratio":2954.125,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3722,"base":6}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3194,"base":6}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5522,"base":6},"right_expr":{"type":"numeric_atoms","value":1089,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1068,"base":6},"right_expr":{"type":"numeric_atoms","value":1547,"base":6}}}}},"used_operators":["zNRQejTB5A","1aApVXNlOP","0KMCeP1Jsh","t8gj7n24qd","eLAdDNolq6","XGcMNugi78","9Isq31Ruls","3sJ7IOPOlU"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛-2105","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3722","layer":4},{"info":"compute unary expreesion, input=3722, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3722","layer":3},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2710","layer":3},{"info":"compute binary expreesion, left_input=-3722, right_input=-2710, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=8100","layer":2},{"info":"number node, value=5522","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=5522, right_input=1089, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1547, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8100, 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=-7627","layer":1},{"info":"compute unary expreesion, input=-7627, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":0}],"base":6,"result_base":6,"text":"(-↹⩛25122)≨(≤/↹⩛22442)⩇∃⫛(↹⩛41322∌↝↹⩛5013)⫞⩸⩒(↹⩛4540⪇≇⋚↹⩛11055)⪥⨬⪅=↹⩛-2105","reverse_text":"↹⩛-2105=(-↹⩛25122)≨(≤/↹⩛22442)⩇∃⫛(↹⩛41322∌↝↹⩛5013)⫞⩸⩒(↹⩛4540⪇≇⋚↹⩛11055)⪥⨬⪅","cot":[{"info":"-↹⩛25122=↹⩛-25122","layer":3},{"info":"≤/↹⩛22442=↹⩛-20314","layer":3},{"info":"↹⩛-25122≨↹⩛-20314=↹⩛101300","layer":2},{"info":"↹⩛41322∌↝↹⩛5013=↹⩛0","layer":3},{"info":"↹⩛4540⪇≇⋚↹⩛11055=↹⩛0","layer":3},{"info":"↹⩛0⫞⩸⩒↹⩛0=↹⩛0","layer":2},{"info":"↹⩛101300⩇∃⫛↹⩛0=↹⩛-55151","layer":1},{"info":"↹⩛-55151⪥⨬⪅=↹⩛-2105","layer":0}]} +{"id":514,"expression_no_base_symbol":"(∓$1235$⨑⩅≇$1190$)⇻⋧≁($1733$⇷$1106$↛⩡⫤)⪟⇏(($4836$⪝$3207$⊋≦⊧($4566$⫿))⋐⇩⊬)","expression":"(∓↹⩛5415⨑⩅≇↹⩛5302)⇻⋧≁(↹⩛12005⇷↹⩛5042↛⩡⫤)⪟⇏((↹⩛34220⪝↹⩛22503⊋≦⊧(↹⩛33050⫿))⋐⇩⊬)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":83516,"operation_count":10,"complexity_ratio":8351.6,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1235,"base":6},"right_expr":{"type":"numeric_atoms","value":1190,"base":6}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1733,"base":6},"right_expr":{"type":"numeric_atoms","value":1106,"base":6}}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4836,"base":6},"right_expr":{"type":"numeric_atoms","value":3207,"base":6}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":4566,"base":6}}}}},"used_operators":["GODebY97qR","jCPkEVoL5K","OwUj7dcsQK","h92wMvzauj","FU0Cs4j7VP","mp7IySMOzn","JuuLT1NoCs","oRDoc9rAEX","wicAB68Tmb","9tKT6PmtkH"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1235","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1190, 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=-3705","layer":3},{"info":"compute unary expreesion, input=-3705, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=50703","layer":2},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1106, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2212","layer":3},{"info":"compute unary expreesion, input=2212, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-330101","layer":2},{"info":"compute binary expreesion, left_input=50703, right_input=-330101, 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=4836","layer":4},{"info":"number node, value=3207","layer":4},{"info":"compute binary expreesion, left_input=4836, right_input=3207, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-6915","layer":3},{"info":"number node, value=4566","layer":4},{"info":"compute unary expreesion, input=4566, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=4566","layer":3},{"info":"compute binary expreesion, left_input=-6915, right_input=4566, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=192, 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":6,"result_base":6,"text":"(∓↹⩛5415⨑⩅≇↹⩛5302)⇻⋧≁(↹⩛12005⇷↹⩛5042↛⩡⫤)⪟⇏((↹⩛34220⪝↹⩛22503⊋≦⊧(↹⩛33050⫿))⋐⇩⊬)=↹⩛0","reverse_text":"↹⩛0=(∓↹⩛5415⨑⩅≇↹⩛5302)⇻⋧≁(↹⩛12005⇷↹⩛5042↛⩡⫤)⪟⇏((↹⩛34220⪝↹⩛22503⊋≦⊧(↹⩛33050⫿))⋐⇩⊬)","cot":[{"info":"↹⩛5415⨑⩅≇↹⩛5302=↹⩛-25053","layer":3},{"info":"∓↹⩛-25053=↹⩛1030423","layer":2},{"info":"↹⩛12005⇷↹⩛5042=↹⩛14124","layer":3},{"info":"↹⩛14124↛⩡⫤=↹⩛-11024125","layer":2},{"info":"↹⩛1030423⇻⋧≁↹⩛-11024125=↹⩛-2023","layer":1},{"info":"↹⩛34220⪝↹⩛22503=↹⩛-52003","layer":3},{"info":"↹⩛33050⫿=↹⩛33050","layer":3},{"info":"↹⩛-52003⊋≦⊧↹⩛33050=↹⩛520","layer":2},{"info":"↹⩛520⋐⇩⊬=↹⩛520","layer":1},{"info":"↹⩛-2023⪟⇏↹⩛520=↹⩛0","layer":0}]} +{"id":515,"expression_no_base_symbol":"(($4259$⊹∫⫚$3460$)+⪬∐$4247$≁↽≥$4635$≳⇉(⇉-⫰($2712$⩒⫫$5434$)))↤⩊(($1158$⇡⇂$1794$⊊)≝⊿(($2593$⨑≵⋬$1057$)∠↢($2395$⩵∡$4261$)))","expression":"((↹⩛31415⊹∫⫚↹⩛24004)+⪬∐↹⩛31355≁↽≥↹⩛33243≳⇉(⇉-⫰(↹⩛20320⩒⫫↹⩛41054)))↤⩊((↹⩛5210⇡⇂↹⩛12150⊊)≝⊿((↹⩛20001⨑≵⋬↹⩛4521)∠↢(↹⩛15031⩵∡↹⩛31421)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":12990,"operation_count":13,"complexity_ratio":999.2307692307693,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4259,"base":6},"right_expr":{"type":"numeric_atoms","value":3460,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4247,"base":6},"right_expr":{"type":"numeric_atoms","value":4635,"base":6}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2712,"base":6},"right_expr":{"type":"numeric_atoms","value":5434,"base":6}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1158,"base":6},"right_expr":{"type":"numeric_atoms","value":1794,"base":6}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2593,"base":6},"right_expr":{"type":"numeric_atoms","value":1057,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2395,"base":6},"right_expr":{"type":"numeric_atoms","value":4261,"base":6}}}}},"used_operators":["13rbtpv6ld","V0kx6qeWkN","2GS7woTJqF","uWAJUKEvyW","ncHt1X6cMc","IGFM8TAlm9","KFSx94NKJn","OKKcZfAt5B","W9R8I5fN5A","UMwdvZNt44","KbjG8mgYpV","XnXgA4xnOs","Y7wcNGrDQJ"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","D4vGDi5EA2","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","oWn0xqSxBt","3Oe9XWJUTD","eH2TOUuTDT","eewbuw0ToL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","12rbrZMWeM","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4259","layer":4},{"info":"number node, value=3460","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=3460, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-20","layer":3},{"info":"number node, value=4247","layer":4},{"info":"number node, value=4635","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=4635, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=55785","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=55785, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=60","layer":2},{"info":"number node, value=2712","layer":4},{"info":"number node, value=5434","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=5434, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2410","layer":3},{"info":"compute unary expreesion, input=2410, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=60, right_input=20, 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=1158","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1794, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":2},{"info":"number node, value=2593","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2593, right_input=1057, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=6945","layer":3},{"info":"number node, value=2395","layer":4},{"info":"number node, value=4261","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=4261, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-650","layer":3},{"info":"compute binary expreesion, left_input=6945, right_input=-650, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-17598","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17598, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛31415⊹∫⫚↹⩛24004)+⪬∐↹⩛31355≁↽≥↹⩛33243≳⇉(⇉-⫰(↹⩛20320⩒⫫↹⩛41054)))↤⩊((↹⩛5210⇡⇂↹⩛12150⊊)≝⊿((↹⩛20001⨑≵⋬↹⩛4521)∠↢(↹⩛15031⩵∡↹⩛31421)))=NaN","reverse_text":"NaN=((↹⩛31415⊹∫⫚↹⩛24004)+⪬∐↹⩛31355≁↽≥↹⩛33243≳⇉(⇉-⫰(↹⩛20320⩒⫫↹⩛41054)))↤⩊((↹⩛5210⇡⇂↹⩛12150⊊)≝⊿((↹⩛20001⨑≵⋬↹⩛4521)∠↢(↹⩛15031⩵∡↹⩛31421)))","cot":[{"info":"↹⩛31415⊹∫⫚↹⩛24004=↹⩛-32","layer":3},{"info":"↹⩛31355≁↽≥↹⩛33243=↹⩛1110133","layer":3},{"info":"↹⩛-32+⪬∐↹⩛1110133=↹⩛140","layer":2},{"info":"↹⩛20320⩒⫫↹⩛41054=↹⩛15054","layer":3},{"info":"⇉-⫰↹⩛15054=↹⩛32","layer":2},{"info":"↹⩛140≳⇉↹⩛32=NaN","layer":1},{"info":"↹⩛5210⇡⇂↹⩛12150=NaN","layer":3},{"info":"NaN⊊=NaN","layer":2},{"info":"↹⩛20001⨑≵⋬↹⩛4521=↹⩛52053","layer":3},{"info":"↹⩛15031⩵∡↹⩛31421=↹⩛-3002","layer":3},{"info":"↹⩛52053∠↢↹⩛-3002=↹⩛-213250","layer":2},{"info":"NaN≝⊿↹⩛-213250=NaN","layer":1},{"info":"NaN↤⩊NaN=NaN","layer":0}]} +{"id":516,"expression_no_base_symbol":"(↥$2643$⊝⪿⪼$1809$)⪔⊥($1756$↓$1396$⨟⋌⩍($3016$⇋≉))⋓((≱⇩⩕$5662$)⪁$2605$≭$1934$)↹⊜($1768$⨂≜$1794$⊭↱$3671$+⇶⊼$3862$)","expression":"(↥↹⩛20123⊝⪿⪼↹⩛12213)⪔⊥(↹⩛12044↓↹⩛10244⨟⋌⩍(↹⩛21544⇋≉))⋓((≱⇩⩕↹⩛42114)⪁↹⩛20021≭↹⩛12542)↹⊜(↹⩛12104⨂≜↹⩛12150⊭↱↹⩛24555+⇶⊼↹⩛25514)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22703,"operation_count":14,"complexity_ratio":1621.642857142857,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2643,"base":6},"right_expr":{"type":"numeric_atoms","value":1809,"base":6}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1756,"base":6},"right_expr":{"type":"numeric_atoms","value":1396,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3016,"base":6}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5662,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2605,"base":6},"right_expr":{"type":"numeric_atoms","value":1934,"base":6}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1768,"base":6},"right_expr":{"type":"numeric_atoms","value":1794,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3671,"base":6},"right_expr":{"type":"numeric_atoms","value":3862,"base":6}}}}},"used_operators":["T2fj7uvVaJ","HJ9erzHUuu","A8NUZmVepG","3Oe9XWJUTD","rGHVDoGpnC","Af076pWI7l","XIabStNQrY","9bazX3JMtO","I7sXao9hZE","3DZMoQKiUl","rxpJgHHUmx","COABgblf1C","k1SHOSEABc","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","k8jYdgA6NY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1809, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=40585","layer":3},{"info":"compute unary expreesion, input=40585, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":2},{"info":"number node, value=1756","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1396, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3016","layer":4},{"info":"compute unary expreesion, input=3016, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5934","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=5934, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=40, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=5662","layer":4},{"info":"compute unary expreesion, input=5662, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=2605","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=1934, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1768","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=1794, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3671","layer":4},{"info":"number node, value=3862","layer":4},{"info":"compute binary expreesion, left_input=3671, right_input=3862, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↥↹⩛20123⊝⪿⪼↹⩛12213)⪔⊥(↹⩛12044↓↹⩛10244⨟⋌⩍(↹⩛21544⇋≉))⋓((≱⇩⩕↹⩛42114)⪁↹⩛20021≭↹⩛12542)↹⊜(↹⩛12104⨂≜↹⩛12150⊭↱↹⩛24555+⇶⊼↹⩛25514)=NaN","reverse_text":"NaN=(↥↹⩛20123⊝⪿⪼↹⩛12213)⪔⊥(↹⩛12044↓↹⩛10244⨟⋌⩍(↹⩛21544⇋≉))⋓((≱⇩⩕↹⩛42114)⪁↹⩛20021≭↹⩛12542)↹⊜(↹⩛12104⨂≜↹⩛12150⊭↱↹⩛24555+⇶⊼↹⩛25514)","cot":[{"info":"↹⩛20123⊝⪿⪼↹⩛12213=↹⩛511521","layer":3},{"info":"↥↹⩛511521=↹⩛104","layer":2},{"info":"↹⩛12044↓↹⩛10244=↹⩛-342","layer":3},{"info":"↹⩛21544⇋≉=↹⩛43250","layer":3},{"info":"↹⩛-342⨟⋌⩍↹⩛43250=NaN","layer":2},{"info":"↹⩛104⪔⊥NaN=NaN","layer":1},{"info":"≱⇩⩕↹⩛42114=↹⩛305","layer":3},{"info":"↹⩛20021≭↹⩛12542=NaN","layer":3},{"info":"↹⩛305⪁NaN=NaN","layer":2},{"info":"↹⩛12104⨂≜↹⩛12150=NaN","layer":3},{"info":"↹⩛24555+⇶⊼↹⩛25514=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]} +{"id":517,"expression_no_base_symbol":"((($1234$⫥∨⫟$2995$)⊋$2659$⩌⋺$2618$)∛(⨩∲���($7774$⩒⫫$1579$)))↳∿⪆(($5590$≃⋄)⩒⫫(⇐$6082$)⫸⊐((⋎⨆$1079$)∙∹∝$1123$↺$3334$))","expression":"(((↹⩛5414⫥∨⫟↹⩛21511)⊋↹⩛20151⩌⋺↹⩛20042)∛(⨩∲⋌(↹⩛55554⩒⫫↹⩛11151)))↳∿⪆((↹⩛41514≃⋄)⩒⫫(⇐↹⩛44054)⫸⊐((⋎⨆↹⩛4555)∙∹∝↹⩛5111↺↹⩛23234))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2851,"operation_count":14,"complexity_ratio":203.64285714285714,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1234,"base":6},"right_expr":{"type":"numeric_atoms","value":2995,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2659,"base":6},"right_expr":{"type":"numeric_atoms","value":2618,"base":6}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":7774,"base":6},"right_expr":{"type":"numeric_atoms","value":1579,"base":6}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":5590,"base":6}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":6082,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1079,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1123,"base":6},"right_expr":{"type":"numeric_atoms","value":3334,"base":6}}}}},"used_operators":["Cw4SuJJGHO","w2537kitQq","W4tP9CfskL","KYD54nUTWz","g7Hmc5v1ko","aSik1wnThz","KFSx94NKJn","mqXw5SEYmG","aN9a90urxU","nmZMaaE0Q9","HmxsFra2vL","E64sFOc4tB","7j4O788W3g"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","uFcxV4UQCh","jLgFTUHLKL","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1234","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=2995, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=2618, 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=-5398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5398, 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=-113414","layer":2},{"info":"number node, value=7774","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=7774, right_input=1579, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7472","layer":3},{"info":"compute unary expreesion, input=7472, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-7995","layer":2},{"info":"compute binary expreesion, left_input=-113414, right_input=-7995, 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=5590","layer":4},{"info":"compute unary expreesion, input=5590, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=6082","layer":4},{"info":"compute unary expreesion, input=6082, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=1258","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=1258, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=462","layer":2},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=3334, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3334","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3334, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=462, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-125, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛5414⫥∨⫟↹⩛21511)⊋↹⩛20151⩌⋺↹⩛20042)∛(⨩∲⋌(↹⩛55554⩒⫫↹⩛11151)))↳∿⪆((↹⩛41514≃⋄)⩒⫫(⇐↹⩛44054)⫸⊐((⋎⨆↹⩛4555)∙∹∝↹⩛5111↺↹⩛23234))=NaN","reverse_text":"NaN=(((↹⩛5414⫥∨⫟↹⩛21511)⊋↹⩛20151⩌⋺↹⩛20042)∛(⨩∲⋌(↹⩛55554⩒⫫↹⩛11151)))↳∿⪆((↹⩛41514≃⋄)⩒⫫(⇐↹⩛44054)⫸⊐((⋎⨆↹⩛4555)∙∹∝↹⩛5111↺↹⩛23234))","cot":[{"info":"↹⩛5414⫥∨⫟↹⩛21511=NaN","layer":3},{"info":"↹⩛20151⩌⋺↹⩛20042=↹⩛-40554","layer":3},{"info":"NaN⊋↹⩛-40554=↹⩛-2233022","layer":2},{"info":"↹⩛55554⩒⫫↹⩛11151=↹⩛54332","layer":3},{"info":"⨩∲⋌↹⩛54332=↹⩛-101003","layer":2},{"info":"↹⩛-2233022∛↹⩛-101003=↹⩛151","layer":1},{"info":"↹⩛41514≃⋄=↹⩛3312","layer":3},{"info":"⇐↹⩛44054=↹⩛5454","layer":3},{"info":"↹⩛3312⩒⫫↹⩛5454=↹⩛2050","layer":2},{"info":"⋎⨆↹⩛4555=↹⩛0","layer":3},{"info":"↹⩛5111↺↹⩛23234=↹⩛23234","layer":3},{"info":"↹⩛0∙∹∝↹⩛23234=↹⩛0","layer":2},{"info":"↹⩛2050⫸⊐↹⩛0=↹⩛-325","layer":1},{"info":"↹⩛151↳∿⪆↹⩛-325=NaN","layer":0}]} +{"id":518,"expression_no_base_symbol":"((⫎≠⋺$4265$)∛($1898$⪍↜⋙$6608$)⇣⩺⋵((⨭⩧⫛$7323$)⨒$1234$+⪬∐$4006$))⊝⪿⪼(⇨(↴⪽⋼(∂$1707$)))","expression":"((⫎≠⋺↹⩛31425)∛(↹⩛12442⪍↜⋙↹⩛50332)⇣⩺⋵((⨭⩧⫛↹⩛53523)⨒↹⩛5414+⪬∐↹⩛30314))⊝⪿⪼(⇨(↴⪽⋼(∂↹⩛11523)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":463,"operation_count":11,"complexity_ratio":42.09090909090909,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4265,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1898,"base":6},"right_expr":{"type":"numeric_atoms","value":6608,"base":6}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":7323,"base":6}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1234,"base":6},"right_expr":{"type":"numeric_atoms","value":4006,"base":6}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1707,"base":6}}}}},"used_operators":["3Oe9XWJUTD","F4yD0voBRQ","w2537kitQq","LYeZOJ0nQG","L05ObWFQCd","y75s1iXyHd","g21JL6JxX7","2GS7woTJqF","G9tJMlZ94a","5TUYCnJO6w","Uaa54Peajs"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","g55IO6H4Gj","D4vGDi5EA2","k8jYdgA6NY","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"↹⩛43532","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"compute unary expreesion, input=4265, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=6608, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-23489","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-23489, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=7323","layer":4},{"info":"compute unary expreesion, input=7323, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=4006, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3702, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1707","layer":4},{"info":"compute unary expreesion, input=1707, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute 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":2},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=6032","layer":0}],"base":6,"result_base":6,"text":"((⫎≠⋺↹⩛31425)∛(↹⩛12442⪍↜⋙↹⩛50332)⇣⩺⋵((⨭⩧⫛↹⩛53523)⨒↹⩛5414+⪬∐↹⩛30314))⊝⪿⪼(⇨(↴⪽⋼(∂↹⩛11523)))=↹⩛43532","reverse_text":"↹⩛43532=((⫎≠⋺↹⩛31425)∛(↹⩛12442⪍↜⋙↹⩛50332)⇣⩺⋵((⨭⩧⫛↹⩛53523)⨒↹⩛5414+⪬∐↹⩛30314))⊝⪿⪼(⇨(↴⪽⋼(∂↹⩛11523)))","cot":[{"info":"⫎≠⋺↹⩛31425=↹⩛0","layer":3},{"info":"↹⩛12442⪍↜⋙↹⩛50332=↹⩛-300425","layer":3},{"info":"↹⩛0∛↹⩛-300425=↹⩛151","layer":2},{"info":"⨭⩧⫛↹⩛53523=NaN","layer":3},{"info":"↹⩛5414+⪬∐↹⩛30314=↹⩛-25050","layer":3},{"info":"NaN⨒↹⩛-25050=NaN","layer":2},{"info":"↹⩛151⇣⩺⋵NaN=↹⩛-1112","layer":1},{"info":"∂↹⩛11523=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"↹⩛-1112⊝⪿⪼NaN=↹⩛43532","layer":0}]} +{"id":519,"expression_no_base_symbol":"⫡⇟⇯(⨑⩽⪐$4451$⊱⇼⊻$1199$⊲⩕⊾($1018$⨰$1866$))","expression":"⫡⇟⇯(⨑⩽⪐↹⩛32335⊱⇼⊻↹⩛5315⊲⩕⊾(↹⩛4414⨰↹⩛12350))","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":54,"operation_count":5,"complexity_ratio":10.8,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4451,"base":6},"right_expr":{"type":"numeric_atoms","value":1199,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1018,"base":6},"right_expr":{"type":"numeric_atoms","value":1866,"base":6}}}}},"used_operators":["qWUSsah53b","AF7qkfDlqP","DmTXOeWf9t","FyVja0WsTP","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛223405","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4451","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=4451, right_input=1199, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1866, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-838","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-838, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=18346","layer":2},{"info":"compute unary expreesion, input=18346, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-18073","layer":1},{"info":"compute unary expreesion, input=-18073, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=18941","layer":0}],"base":6,"result_base":6,"text":"⫡⇟⇯(⨑⩽⪐↹⩛32335⊱⇼⊻↹⩛5315⊲⩕⊾(↹⩛4414⨰↹⩛12350))=↹⩛223405","reverse_text":"↹⩛223405=⫡⇟⇯(⨑⩽⪐↹⩛32335⊱⇼⊻↹⩛5315⊲⩕⊾(↹⩛4414⨰↹⩛12350))","cot":[{"info":"↹⩛32335⊱⇼⊻↹⩛5315=↹⩛2002","layer":3},{"info":"↹⩛4414⨰↹⩛12350=↹⩛-3514","layer":3},{"info":"↹⩛2002⊲⩕⊾↹⩛-3514=↹⩛220534","layer":2},{"info":"⨑⩽⪐↹⩛220534=↹⩛-215401","layer":1},{"info":"⫡⇟⇯↹⩛-215401=↹⩛223405","layer":0}]} +{"id":520,"expression_no_base_symbol":"(($5315$%$4911$)⋛(⇨$1561$)⨸⪁($1751$⊢$4759$)⫯⪬∳($5389$⊭↱$7734$))⨴∎","expression":"((↹⩛40335%↹⩛34423)⋛(⇨↹⩛11121)⨸⪁(↹⩛12035⊢↹⩛34011)⫯⪬∳(↹⩛40541⊭↱↹⩛55450))⨴∎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":232974,"operation_count":8,"complexity_ratio":29121.75,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5315,"base":6},"right_expr":{"type":"numeric_atoms","value":4911,"base":6}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1561,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1751,"base":6},"right_expr":{"type":"numeric_atoms","value":4759,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5389,"base":6},"right_expr":{"type":"numeric_atoms","value":7734,"base":6}}}}},"used_operators":["CpSg5vQTgA","g55IO6H4Gj","YbUVn0Rbpy","k8jYdgA6NY","G9tJMlZ94a","d7ASUq0ydm","5twsqlHp2o","COABgblf1C"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","k8jYdgA6NY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5315","layer":4},{"info":"number node, value=4911","layer":4},{"info":"compute binary expreesion, left_input=5315, right_input=4911, op_id = k8jYdgA6NY binary_op_definition= 'None', output=404","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=404, 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=-123321","layer":2},{"info":"number node, value=1751","layer":4},{"info":"number node, value=4759","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=4759, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3746","layer":3},{"info":"number node, value=5389","layer":4},{"info":"number node, value=7734","layer":4},{"info":"compute binary expreesion, left_input=5389, right_input=7734, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4695","layer":3},{"info":"compute binary expreesion, left_input=-3746, right_input=4695, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=10765","layer":2},{"info":"compute binary expreesion, left_input=-123321, right_input=10765, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-225112","layer":1},{"info":"compute unary expreesion, input=-225112, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛40335%↹⩛34423)⋛(⇨↹⩛11121)⨸⪁(↹⩛12035⊢↹⩛34011)⫯⪬∳(↹⩛40541⊭↱↹⩛55450))⨴∎=NaN","reverse_text":"NaN=((↹⩛40335%↹⩛34423)⋛(⇨↹⩛11121)⨸⪁(↹⩛12035⊢↹⩛34011)⫯⪬∳(↹⩛40541⊭↱↹⩛55450))⨴∎","cot":[{"info":"↹⩛40335%↹⩛34423=↹⩛1512","layer":3},{"info":"⇨↹⩛11121=↹⩛0","layer":3},{"info":"↹⩛1512⋛↹⩛0=↹⩛-2350533","layer":2},{"info":"↹⩛12035⊢↹⩛34011=↹⩛-25202","layer":3},{"info":"↹⩛40541⊭↱↹⩛55450=↹⩛33423","layer":3},{"info":"↹⩛-25202⫯⪬∳↹⩛33423=↹⩛121501","layer":2},{"info":"↹⩛-2350533⨸⪁↹⩛121501=↹⩛-4454104","layer":1},{"info":"↹⩛-4454104⨴∎=NaN","layer":0}]} +{"id":521,"expression_no_base_symbol":"⇨(((⊬↢$5263$)⩭)∪⫐($1341$⊴$2028$)⩖⊿($2001$⊴$2282$))","expression":"⇨(((⊬↢↹⩛40211)⩭)∪⫐(↹⩛10113⊴↹⩛13220)⩖⊿(↹⩛13133⊴↹⩛14322))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":92317,"operation_count":7,"complexity_ratio":13188.142857142857,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5263,"base":6}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1341,"base":6},"right_expr":{"type":"numeric_atoms","value":2028,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2001,"base":6},"right_expr":{"type":"numeric_atoms","value":2282,"base":6}}}}},"used_operators":["G9tJMlZ94a","7YooWSwCyH","yIPP7u6H5x","WPoGxAaPR1","RZ5CV9rWsJ","Nsiff2A1zJ"],"dependent_operators":["k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","dWAJyo7jo9","14qkJME0vr"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5263","layer":4},{"info":"compute unary expreesion, input=5263, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=238","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2028, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2001","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=2282, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=238, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=238","layer":1},{"info":"compute unary expreesion, input=238, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇨(((⊬↢↹⩛40211)⩭)∪⫐(↹⩛10113⊴↹⩛13220)⩖⊿(↹⩛13133⊴↹⩛14322))=↹⩛0","reverse_text":"↹⩛0=⇨(((⊬↢↹⩛40211)⩭)∪⫐(↹⩛10113⊴↹⩛13220)⩖⊿(↹⩛13133⊴↹⩛14322))","cot":[{"info":"⊬↢↹⩛40211=↹⩛1002","layer":3},{"info":"↹⩛1002⩭=↹⩛1034","layer":2},{"info":"↹⩛10113⊴↹⩛13220=NaN","layer":3},{"info":"↹⩛13133⊴↹⩛14322=NaN","layer":3},{"info":"NaN⩖⊿NaN=NaN","layer":2},{"info":"↹⩛1034∪⫐NaN=↹⩛1034","layer":1},{"info":"⇨↹⩛1034=↹⩛0","layer":0}]} +{"id":522,"expression_no_base_symbol":"((⇋↷$2572$∘$2243$)⪶≀⋏($6180$∴$1150$∕⩚$7491$⇴$5952$))↤⩊(($1000$⩵∡$5229$)⊴(∑⇻≧$1005$)∖(⇺⋃$4646$)∲⫓(≉$3752$))","expression":"((⇋↷↹⩛15524∘↹⩛14215)⪶≀⋏(↹⩛44340∴↹⩛5154∕⩚↹⩛54403⇴↹⩛43320))↤⩊((↹⩛4344⩵∡↹⩛40113)⊴(∑⇻≧↹⩛4353)∖(⇺⋃↹⩛33302)∲⫓(≉↹⩛25212))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15760,"operation_count":14,"complexity_ratio":1125.7142857142858,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2572,"base":6},"right_expr":{"type":"numeric_atoms","value":2243,"base":6}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":6180,"base":6},"right_expr":{"type":"numeric_atoms","value":1150,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7491,"base":6},"right_expr":{"type":"numeric_atoms","value":5952,"base":6}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":5229,"base":6}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1005,"base":6}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":4646,"base":6}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3752,"base":6}}}}},"used_operators":["13rbtpv6ld","zR4jO40bMj","SWo3A1KBJH","Z5m6OM72h2","z9ffQ9n5Zr","hrf7POJlIJ","4JB6nKBMSY","tXD093vOjl","Nsiff2A1zJ","Y7wcNGrDQJ","l1M9WJ3V7u","i8ToyICDmI","E5v5B3UAjG","e1ybzncUwg"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","glklzrTFfD","tifHPKVTfV","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2572","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=2243, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5144","layer":3},{"info":"compute unary expreesion, input=5144, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=41152","layer":2},{"info":"number node, value=6180","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=6180, right_input=1150, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=14008","layer":3},{"info":"number node, value=7491","layer":4},{"info":"number node, value=5952","layer":4},{"info":"compute binary expreesion, left_input=7491, right_input=5952, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=56464","layer":3},{"info":"compute binary expreesion, left_input=14008, right_input=56464, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-14011","layer":2},{"info":"compute binary expreesion, left_input=41152, right_input=-14011, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-95666","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=5229","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=5229, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3108","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=3108, right_input=-852, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4646","layer":4},{"info":"compute unary expreesion, input=4646, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=3752","layer":4},{"info":"compute unary expreesion, input=3752, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4283","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4283, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-95666, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⇋↷↹⩛15524∘↹⩛14215)⪶≀⋏(↹⩛44340∴↹⩛5154∕⩚↹⩛54403⇴↹⩛43320))↤⩊((↹⩛4344⩵∡↹⩛40113)⊴(∑⇻≧↹⩛4353)∖(⇺⋃↹⩛33302)∲⫓(≉↹⩛25212))=NaN","reverse_text":"NaN=((⇋↷↹⩛15524∘↹⩛14215)⪶≀⋏(↹⩛44340∴↹⩛5154∕⩚↹⩛54403⇴↹⩛43320))↤⩊((↹⩛4344⩵∡↹⩛40113)⊴(∑⇻≧↹⩛4353)∖(⇺⋃↹⩛33302)∲⫓(≉↹⩛25212))","cot":[{"info":"↹⩛15524∘↹⩛14215=↹⩛35452","layer":3},{"info":"⇋↷↹⩛35452=↹⩛514304","layer":2},{"info":"↹⩛44340∴↹⩛5154=↹⩛144504","layer":3},{"info":"↹⩛54403⇴↹⩛43320=↹⩛1113224","layer":3},{"info":"↹⩛144504∕⩚↹⩛1113224=↹⩛-144511","layer":2},{"info":"↹⩛514304⪶≀⋏↹⩛-144511=↹⩛-2014522","layer":1},{"info":"↹⩛4344⩵∡↹⩛40113=↹⩛22220","layer":3},{"info":"∑⇻≧↹⩛4353=↹⩛-3540","layer":3},{"info":"↹⩛22220⊴↹⩛-3540=NaN","layer":2},{"info":"⇺⋃↹⩛33302=NaN","layer":3},{"info":"≉↹⩛25212=↹⩛31455","layer":3},{"info":"NaN∲⫓↹⩛31455=↹⩛0","layer":2},{"info":"NaN∖↹⩛0=↹⩛0","layer":1},{"info":"↹⩛-2014522↤⩊↹⩛0=NaN","layer":0}]} +{"id":523,"expression_no_base_symbol":"($2370$⫁$5239$⫥∨⫟(⋗⩬⋾$3537$)⊝)⨑⩅≇($1949$≚⊃≕$1909$∀⇚≩$1139$⋛$2326$⊹∫⫚($3518$↰)⨚⇆(⨰⫟⨤$3095$))","expression":"(↹⩛14550⫁↹⩛40131⫥∨⫟(⋗⩬⋾↹⩛24213)⊝)⨑⩅≇(↹⩛13005≚⊃≕↹⩛12501∀⇚≩↹⩛5135⋛↹⩛14434⊹∫⫚(↹⩛24142↰)⨚⇆(⨰⫟⨤↹⩛22155))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12962,"operation_count":12,"complexity_ratio":1080.1666666666667,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2370,"base":6},"right_expr":{"type":"numeric_atoms","value":5239,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3537,"base":6}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1949,"base":6},"right_expr":{"type":"numeric_atoms","value":1909,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1139,"base":6},"right_expr":{"type":"numeric_atoms","value":2326,"base":6}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3518,"base":6}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3095,"base":6}}}}},"used_operators":["h92wMvzauj","O6EZ0fifGK","KYD54nUTWz","0ajvFaJAv0","DpFCA1CohY","uWAJUKEvyW","LRNGc0VcxI","Bmrmz2XGnR","YbUVn0Rbpy","lwHaAYXP2r","bl5wxAcryP","Tw270M8GLb"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","8HhzD0ZcuI","rGHVDoGpnC","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","nCS4ZIUYfx","Z2TMIBDE3Q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"↹⩛4155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"number node, value=5239","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=5239, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3537","layer":4},{"info":"compute unary expreesion, input=3537, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10611","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10611, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=nan","layer":1},{"info":"number node, value=1949","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=1909, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=2326, 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=-121941","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-121941, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3518","layer":4},{"info":"compute unary expreesion, input=3518, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3417","layer":3},{"info":"number node, value=3095","layer":4},{"info":"compute unary expreesion, input=3095, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3417, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14550⫁↹⩛40131⫥∨⫟(⋗⩬⋾↹⩛24213)⊝)⨑⩅≇(↹⩛13005≚⊃≕↹⩛12501∀⇚≩↹⩛5135⋛↹⩛14434⊹∫⫚(↹⩛24142↰)⨚⇆(⨰⫟⨤↹⩛22155))=↹⩛4155","reverse_text":"↹⩛4155=(↹⩛14550⫁↹⩛40131⫥∨⫟(⋗⩬⋾↹⩛24213)⊝)⨑⩅≇(↹⩛13005≚⊃≕↹⩛12501∀⇚≩↹⩛5135⋛↹⩛14434⊹∫⫚(↹⩛24142↰)⨚⇆(⨰⫟⨤↹⩛22155))","cot":[{"info":"↹⩛14550⫁↹⩛40131=↹⩛424","layer":3},{"info":"⋗⩬⋾↹⩛24213=↹⩛-121043","layer":3},{"info":"↹⩛424⫥∨⫟↹⩛-121043=NaN","layer":2},{"info":"NaN⊝=NaN","layer":1},{"info":"↹⩛13005≚⊃≕↹⩛12501=↹⩛151","layer":3},{"info":"↹⩛5135⋛↹⩛14434=↹⩛-2340313","layer":3},{"info":"↹⩛151∀⇚≩↹⩛-2340313=NaN","layer":2},{"info":"↹⩛24142↰=↹⩛23453","layer":3},{"info":"⨰⫟⨤↹⩛22155=NaN","layer":3},{"info":"↹⩛23453⨚⇆NaN=-Inf","layer":2},{"info":"NaN⊹∫⫚-Inf=NaN","layer":1},{"info":"NaN⨑⩅≇NaN=↹⩛4155","layer":0}]} +{"id":524,"expression_no_base_symbol":"(($4753$⫞⩸⩒$2746$⨀⨒)⪑⩈)≹⇙⪍((($3706$⨘⋶⪀)∙⊟$8786$⪉⨛$2995$)⨰($1731$⋹⋡⊁$1197$⫡⨏$4934$≄⊠$1052$))","expression":"((↹⩛34001⫞⩸⩒↹⩛20414⨀⨒)⪑⩈)≹⇙⪍(((↹⩛25054⨘⋶⪀)∙⊟↹⩛104402⪉⨛↹⩛21511)⨰(↹⩛12003⋹⋡⊁↹⩛5313⫡⨏↹⩛34502≄⊠↹⩛4512))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62852,"operation_count":11,"complexity_ratio":5713.818181818182,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4753,"base":6},"right_expr":{"type":"numeric_atoms","value":2746,"base":6}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3706,"base":6}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8786,"base":6},"right_expr":{"type":"numeric_atoms","value":2995,"base":6}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1731,"base":6},"right_expr":{"type":"numeric_atoms","value":1197,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4934,"base":6},"right_expr":{"type":"numeric_atoms","value":1052,"base":6}}}}},"used_operators":["AHs5Up7iyr","C6VvDP6HwP","j6NVkjMzuk","XGcMNugi78","eewbuw0ToL","SxTAKzQCrw","XVKwrhznBb","EWw2JM7wp4","QMFrweE19q","As8RqfVLgs","vXNesLlMH1"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4753","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=4753, right_input=2746, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2746","layer":3},{"info":"compute unary expreesion, input=2746, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=35176","layer":2},{"info":"compute unary expreesion, input=35176, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=247822","layer":1},{"info":"number node, value=3706","layer":4},{"info":"compute unary expreesion, input=3706, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=8786","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=8786, right_input=2995, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=23578","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23578, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=1731","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=1197, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1947","layer":3},{"info":"number node, value=4934","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=1052, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21500","layer":3},{"info":"compute binary expreesion, left_input=1947, right_input=21500, 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=53518","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=53518, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=247822, right_input=nan, 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":6,"result_base":6,"text":"((↹⩛34001⫞⩸⩒↹⩛20414⨀⨒)⪑⩈)≹⇙⪍(((↹⩛25054⨘⋶⪀)∙⊟↹⩛104402⪉⨛↹⩛21511)⨰(↹⩛12003⋹⋡⊁↹⩛5313⫡⨏↹⩛34502≄⊠↹⩛4512))=NaN","reverse_text":"NaN=((↹⩛34001⫞⩸⩒↹⩛20414⨀⨒)⪑⩈)≹⇙⪍(((↹⩛25054⨘⋶⪀)∙⊟↹⩛104402⪉⨛↹⩛21511)⨰(↹⩛12003⋹⋡⊁↹⩛5313⫡⨏↹⩛34502≄⊠↹⩛4512))","cot":[{"info":"↹⩛34001⫞⩸⩒↹⩛20414=↹⩛20414","layer":3},{"info":"↹⩛20414⨀⨒=↹⩛430504","layer":2},{"info":"↹⩛430504⪑⩈=↹⩛5151154","layer":1},{"info":"↹⩛25054⨘⋶⪀=NaN","layer":3},{"info":"↹⩛104402⪉⨛↹⩛21511=↹⩛301054","layer":3},{"info":"NaN∙⊟↹⩛301054=NaN","layer":2},{"info":"↹⩛12003⋹⋡⊁↹⩛5313=↹⩛13003","layer":3},{"info":"↹⩛34502≄⊠↹⩛4512=↹⩛243312","layer":3},{"info":"↹⩛13003⫡⨏↹⩛243312=↹⩛1051434","layer":2},{"info":"NaN⨰↹⩛1051434=NaN","layer":1},{"info":"↹⩛5151154≹⇙⪍NaN=NaN","layer":0}]} +{"id":525,"expression_no_base_symbol":"(⨵≀≌$1028$)⨑≵⋬(⇾⩊⇾$3899$)⫔⩽⩺(↴⪽⋼$3244$)≚⊃≕($2680$⇷$1057$)↸($6229$⫯⪬∳$8350$∝$1268$⊕∕$3645$)⩇∃⫛($1699$∼$3262$)∛($2674$⩚⊴⇥$1719$)","expression":"(⨵≀≌↹⩛4432)⨑≵⋬(⇾⩊⇾↹⩛30015)⫔⩽⩺(↴⪽⋼↹⩛23004)≚⊃≕(↹⩛20224⇷↹⩛4521)↸(↹⩛44501⫯⪬∳↹⩛102354∝↹⩛5512⊕∕↹⩛24513)⩇∃⫛(↹⩛11511∼↹⩛23034)∛(↹⩛20214⩚⊴⇥↹⩛11543)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":43770,"operation_count":15,"complexity_ratio":2918.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1028,"base":6}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3899,"base":6}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3244,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2680,"base":6},"right_expr":{"type":"numeric_atoms","value":1057,"base":6}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6229,"base":6},"right_expr":{"type":"numeric_atoms","value":8350,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1268,"base":6},"right_expr":{"type":"numeric_atoms","value":3645,"base":6}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1699,"base":6},"right_expr":{"type":"numeric_atoms","value":3262,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2674,"base":6},"right_expr":{"type":"numeric_atoms","value":1719,"base":6}}}}},"used_operators":["1eCjFl0mb9","i9eR4S00cU","XnXgA4xnOs","srAu1WTS94","bx9Z9DAK5y","Bmrmz2XGnR","5TUYCnJO6w","mp7IySMOzn","1aApVXNlOP","cTDWOvIxvz","d7ASUq0ydm","9cloC0Ngie","w2537kitQq","DyGG3AbaNP","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Tw270M8GLb","fu6greOZ01","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3084","layer":3},{"info":"number node, value=3899","layer":4},{"info":"compute unary expreesion, input=3899, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-41577","layer":3},{"info":"compute binary expreesion, left_input=-3084, right_input=-41577, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=361184","layer":2},{"info":"number node, value=3244","layer":4},{"info":"compute unary expreesion, input=3244, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3244","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=1057, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2114","layer":3},{"info":"compute binary expreesion, left_input=3244, right_input=2114, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=361184, right_input=67, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=6229","layer":4},{"info":"number node, value=8350","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=8350, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=22828","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=3645, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1268","layer":3},{"info":"compute binary expreesion, left_input=22828, right_input=1268, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=22833","layer":2},{"info":"number node, value=1699","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=3262, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2674","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=1719, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4514","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4514, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=22833, 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=-22293","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22293, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨵≀≌↹⩛4432)⨑≵⋬(⇾⩊⇾↹⩛30015)⫔⩽⩺(↴⪽⋼↹⩛23004)≚⊃≕(↹⩛20224⇷↹⩛4521)↸(↹⩛44501⫯⪬∳↹⩛102354∝↹⩛5512⊕∕↹⩛24513)⩇∃⫛(↹⩛11511∼↹⩛23034)∛(↹⩛20214⩚⊴⇥↹⩛11543)=NaN","reverse_text":"NaN=(⨵≀≌↹⩛4432)⨑≵⋬(⇾⩊⇾↹⩛30015)⫔⩽⩺(↴⪽⋼↹⩛23004)≚⊃≕(↹⩛20224⇷↹⩛4521)↸(↹⩛44501⫯⪬∳↹⩛102354∝↹⩛5512⊕∕↹⩛24513)⩇∃⫛(↹⩛11511∼↹⩛23034)∛(↹⩛20214⩚⊴⇥↹⩛11543)","cot":[{"info":"⨵≀≌↹⩛4432=↹⩛-22140","layer":3},{"info":"⇾⩊⇾↹⩛30015=↹⩛-520253","layer":3},{"info":"↹⩛-22140⨑≵⋬↹⩛-520253=↹⩛11424052","layer":2},{"info":"↴⪽⋼↹⩛23004=↹⩛23004","layer":3},{"info":"↹⩛20224⇷↹⩛4521=↹⩛13442","layer":3},{"info":"↹⩛23004≚⊃≕↹⩛13442=↹⩛151","layer":2},{"info":"↹⩛11424052⫔⩽⩺↹⩛151=NaN","layer":1},{"info":"↹⩛44501⫯⪬∳↹⩛102354=↹⩛253404","layer":3},{"info":"↹⩛5512⊕∕↹⩛24513=↹⩛5512","layer":3},{"info":"↹⩛253404∝↹⩛5512=↹⩛253413","layer":2},{"info":"↹⩛11511∼↹⩛23034=NaN","layer":3},{"info":"↹⩛20214⩚⊴⇥↹⩛11543=↹⩛-32522","layer":3},{"info":"NaN∛↹⩛-32522=↹⩛151","layer":2},{"info":"↹⩛253413⩇∃⫛↹⩛151=↹⩛-251113","layer":1},{"info":"NaN↸↹⩛-251113=NaN","layer":0}]} +{"id":526,"expression_no_base_symbol":"($1057$↢$2630$↳∿⪆($1301$⪛$1050$)∕⩚($1893$⋝⋈⪟$5673$≑≱⪘))⊴(⩰$1441$⨑⩅≇$7983$⪄$4422$⨳⩥⨓$5238$)","expression":"(↹⩛4521↢↹⩛20102↳∿⪆(↹⩛10005⪛↹⩛4510)∕⩚(↹⩛12433⋝⋈⪟↹⩛42133≑≱⪘))⊴(⩰↹⩛10401⨑⩅≇↹⩛100543⪄↹⩛32250⨳⩥⨓↹⩛40130)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15651,"operation_count":11,"complexity_ratio":1422.8181818181818,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1057,"base":6},"right_expr":{"type":"numeric_atoms","value":2630,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1301,"base":6},"right_expr":{"type":"numeric_atoms","value":1050,"base":6}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1893,"base":6},"right_expr":{"type":"numeric_atoms","value":5673,"base":6}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1441,"base":6},"right_expr":{"type":"numeric_atoms","value":7983,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4422,"base":6},"right_expr":{"type":"numeric_atoms","value":5238,"base":6}}}}},"used_operators":["Nsiff2A1zJ","z9ffQ9n5Zr","Cw4SuJJGHO","WR6HLWljOP","uFcxV4UQCh","tGSeddj7UK","2DDjHMKMc0","WkeUrDK8WX","SUmda5xLS4","h92wMvzauj","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=2630","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2630, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=573","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1050, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=251","layer":3},{"info":"compute binary expreesion, left_input=573, right_input=251, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1893","layer":4},{"info":"number node, value=5673","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=5673, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1893","layer":3},{"info":"compute unary expreesion, input=1893, 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=45583","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=45583, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":1},{"info":"number node, value=1441","layer":4},{"info":"number node, value=7983","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=7983, 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=-4323","layer":3},{"info":"number node, value=4422","layer":4},{"info":"number node, value=5238","layer":4},{"info":"compute binary expreesion, left_input=4422, right_input=5238, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=816","layer":3},{"info":"compute binary expreesion, left_input=-4323, right_input=816, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4979, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4521↢↹⩛20102↳∿⪆(↹⩛10005⪛↹⩛4510)∕⩚(↹⩛12433⋝⋈⪟↹⩛42133≑≱⪘))⊴(⩰↹⩛10401⨑⩅≇↹⩛100543⪄↹⩛32250⨳⩥⨓↹⩛40130)=NaN","reverse_text":"NaN=(↹⩛4521↢↹⩛20102↳∿⪆(↹⩛10005⪛↹⩛4510)∕⩚(↹⩛12433⋝⋈⪟↹⩛42133≑≱⪘))⊴(⩰↹⩛10401⨑⩅≇↹⩛100543⪄↹⩛32250⨳⩥⨓↹⩛40130)","cot":[{"info":"↹⩛4521↢↹⩛20102=↹⩛2353","layer":3},{"info":"↹⩛10005⪛↹⩛4510=↹⩛1055","layer":3},{"info":"↹⩛2353↳∿⪆↹⩛1055=NaN","layer":2},{"info":"↹⩛12433⋝⋈⪟↹⩛42133=↹⩛12433","layer":3},{"info":"↹⩛12433≑≱⪘=↹⩛551011","layer":2},{"info":"NaN∕⩚↹⩛551011=NaN","layer":1},{"info":"↹⩛10401⨑⩅≇↹⩛100543=↹⩛-32003","layer":3},{"info":"↹⩛32250⨳⩥⨓↹⩛40130=↹⩛3440","layer":3},{"info":"↹⩛-32003⪄↹⩛3440=↹⩛30231","layer":2},{"info":"⩰↹⩛30231=↹⩛-35015","layer":1},{"info":"NaN⊴↹⩛-35015=NaN","layer":0}]} +{"id":527,"expression_no_base_symbol":"(($1893$∀⇚≩$2644$)⩘($2607$⋷$2074$)⫩⊇)⪍↜⋙($6165$≠≀$9424$)⪝($1000$⨜⨶$3783$)⩦(≯($1820$⋓$7483$))","expression":"((↹⩛12433∀⇚≩↹⩛20124)⩘(↹⩛20023⋷↹⩛13334)⫩⊇)⪍↜⋙(↹⩛44313≠≀↹⩛111344)⪝(↹⩛4344⨜⨶↹⩛25303)⩦(≯(↹⩛12232⋓↹⩛54351))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13848,"operation_count":11,"complexity_ratio":1258.909090909091,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1893,"base":6},"right_expr":{"type":"numeric_atoms","value":2644,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2607,"base":6},"right_expr":{"type":"numeric_atoms","value":2074,"base":6}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6165,"base":6},"right_expr":{"type":"numeric_atoms","value":9424,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":3783,"base":6}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1820,"base":6},"right_expr":{"type":"numeric_atoms","value":7483,"base":6}}}}},"used_operators":["L05ObWFQCd","BjRHVeLaeN","cHh1gJQ2o6","LRNGc0VcxI","23Mk6UjR3U","0kmYd0q39Y","wicAB68Tmb","IwW236VD4Y","HiPekx5b7W","keWfFq85dY","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"↹⩛143340302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1893","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=2644, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2607","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=2074, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1541","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1541, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":1},{"info":"number node, value=6165","layer":4},{"info":"number node, value=9424","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=9424, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-12024","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3783, 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=-7310","layer":3},{"info":"compute binary expreesion, left_input=-12024, right_input=-7310, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-148313","layer":2},{"info":"number node, value=1820","layer":4},{"info":"number node, value=7483","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=7483, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-148313, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-1484093","layer":1},{"info":"compute binary expreesion, left_input=-118, right_input=-1484093, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2967950","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12433∀⇚≩↹⩛20124)⩘(↹⩛20023⋷↹⩛13334)⫩⊇)⪍↜⋙(↹⩛44313≠≀↹⩛111344)⪝(↹⩛4344⨜⨶↹⩛25303)⩦(≯(↹⩛12232⋓↹⩛54351))=↹⩛143340302","reverse_text":"↹⩛143340302=((↹⩛12433∀⇚≩↹⩛20124)⩘(↹⩛20023⋷↹⩛13334)⫩⊇)⪍↜⋙(↹⩛44313≠≀↹⩛111344)⪝(↹⩛4344⨜⨶↹⩛25303)⩦(≯(↹⩛12232⋓↹⩛54351))","cot":[{"info":"↹⩛12433∀⇚≩↹⩛20124=NaN","layer":3},{"info":"↹⩛20023⋷↹⩛13334=↹⩛11045","layer":3},{"info":"NaN⩘↹⩛11045=↹⩛424","layer":2},{"info":"↹⩛424⫩⊇=↹⩛-314","layer":1},{"info":"↹⩛44313≠≀↹⩛111344=↹⩛-131400","layer":3},{"info":"↹⩛4344⨜⨶↹⩛25303=↹⩛-53502","layer":3},{"info":"↹⩛-131400⪝↹⩛-53502=↹⩛-3102345","layer":2},{"info":"↹⩛12232⋓↹⩛54351=↹⩛0","layer":3},{"info":"≯↹⩛0=↹⩛0","layer":2},{"info":"↹⩛-3102345⩦↹⩛0=↹⩛-51450445","layer":1},{"info":"↹⩛-314⪍↜⋙↹⩛-51450445=↹⩛143340302","layer":0}]} +{"id":528,"expression_no_base_symbol":"(⪝⪂⫅$1818$)≝⊿(⨵$1168$)≒∊($5260$⫯⪬∳$1363$⪍↜⋙$5300$⪥$5205$)≥⨤⩑($2905$∀⇚≩$4516$⪔$4890$⋛$1050$)⪚(($2521$⨟⋌⩍$3739$)∧)","expression":"(⪝⪂⫅↹⩛12230)≝⊿(⨵↹⩛5224)≒∊(↹⩛40204⫯⪬∳↹⩛10151⪍↜⋙↹⩛40312⪥↹⩛40033)≥⨤⩑(↹⩛21241∀⇚≩↹⩛32524⪔↹⩛34350⋛↹⩛4510)⪚((↹⩛15401⨟⋌⩍↹⩛25151)∧)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":109172,"operation_count":14,"complexity_ratio":7798.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1818,"base":6}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1168,"base":6}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":5260,"base":6},"right_expr":{"type":"numeric_atoms","value":1363,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5300,"base":6},"right_expr":{"type":"numeric_atoms","value":5205,"base":6}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2905,"base":6},"right_expr":{"type":"numeric_atoms","value":4516,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4890,"base":6},"right_expr":{"type":"numeric_atoms","value":1050,"base":6}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2521,"base":6},"right_expr":{"type":"numeric_atoms","value":3739,"base":6}}}}},"used_operators":["gJLn6v0xnP","5KTvxBwnZo","OKKcZfAt5B","XTarYq4gQB","Tl3Y52tvF8","L05ObWFQCd","d7ASUq0ydm","QbnwKVWMIQ","HrjLwUk87U","GjBEYRfMaF","LRNGc0VcxI","YbUVn0Rbpy","z63VuFQld9","rGHVDoGpnC"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","X99M06cbEe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-267246","layer":3},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-10553","layer":3},{"info":"compute binary expreesion, left_input=-267246, right_input=-10553, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=287819","layer":2},{"info":"number node, value=5260","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=1363, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=24970","layer":3},{"info":"number node, value=5300","layer":4},{"info":"number node, value=5205","layer":4},{"info":"compute binary expreesion, left_input=5300, right_input=5205, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=25852","layer":3},{"info":"compute binary expreesion, left_input=24970, right_input=25852, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-177337","layer":2},{"info":"compute binary expreesion, left_input=287819, right_input=-177337, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-287335","layer":1},{"info":"number node, value=2905","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=4516, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4890","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=4890, right_input=1050, 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=-88182","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-88182, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=2521","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=3739, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-287335, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅↹⩛12230)≝⊿(⨵↹⩛5224)≒∊(↹⩛40204⫯⪬∳↹⩛10151⪍↜⋙↹⩛40312⪥↹⩛40033)≥⨤⩑(↹⩛21241∀⇚≩↹⩛32524⪔↹⩛34350⋛↹⩛4510)⪚((↹⩛15401⨟⋌⩍↹⩛25151)∧)=↹⩛5414","reverse_text":"↹⩛5414=(⪝⪂⫅↹⩛12230)≝⊿(⨵↹⩛5224)≒∊(↹⩛40204⫯⪬∳↹⩛10151⪍↜⋙↹⩛40312⪥↹⩛40033)≥⨤⩑(↹⩛21241∀⇚≩↹⩛32524⪔↹⩛34350⋛↹⩛4510)⪚((↹⩛15401⨟⋌⩍↹⩛25151)∧)","cot":[{"info":"⪝⪂⫅↹⩛12230=↹⩛-5421130","layer":3},{"info":"⨵↹⩛5224=↹⩛-120505","layer":3},{"info":"↹⩛-5421130≝⊿↹⩛-120505=↹⩛10100255","layer":2},{"info":"↹⩛40204⫯⪬∳↹⩛10151=↹⩛311334","layer":3},{"info":"↹⩛40312⪥↹⩛40033=↹⩛315404","layer":3},{"info":"↹⩛311334⪍↜⋙↹⩛315404=↹⩛-3445001","layer":2},{"info":"↹⩛10100255≒∊↹⩛-3445001=↹⩛-10054131","layer":1},{"info":"↹⩛21241∀⇚≩↹⩛32524=NaN","layer":3},{"info":"↹⩛34350⋛↹⩛4510=↹⩛-1520130","layer":3},{"info":"NaN⪔↹⩛-1520130=NaN","layer":2},{"info":"↹⩛15401⨟⋌⩍↹⩛25151=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"NaN⪚NaN=NaN","layer":1},{"info":"↹⩛-10054131≥⨤⩑NaN=↹⩛5414","layer":0}]} +{"id":529,"expression_no_base_symbol":"(($1176$↺$1413$⪄$6736$≒∊$1267$)⨥⫆($2493$⨜⨶$2645$)⇡⇂($1899$⨔≚≋$3042$))⫞⩸⩒(($7273$⇍⊗$3034$)≨($3434$+���∐$8351$)⩘(($3938$⩹$1910$)≧⫂∧($1646$∙∹∝$4456$)))","expression":"((↹⩛5240↺↹⩛10313⪄↹⩛51104≒∊↹⩛5511)⨥⫆(↹⩛15313⨜⨶↹⩛20125)⇡⇂(↹⩛12443⨔≚≋↹⩛22030))⫞⩸⩒((↹⩛53401⇍⊗↹⩛22014)≨(↹⩛23522+⪬∐↹⩛102355)⩘((↹⩛30122⩹↹⩛12502)≧⫂∧(↹⩛11342∙∹∝↹⩛32344)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":56027,"operation_count":15,"complexity_ratio":3735.133333333333,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1176,"base":6},"right_expr":{"type":"numeric_atoms","value":1413,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6736,"base":6},"right_expr":{"type":"numeric_atoms","value":1267,"base":6}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2493,"base":6},"right_expr":{"type":"numeric_atoms","value":2645,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1899,"base":6},"right_expr":{"type":"numeric_atoms","value":3042,"base":6}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":7273,"base":6},"right_expr":{"type":"numeric_atoms","value":3034,"base":6}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3434,"base":6},"right_expr":{"type":"numeric_atoms","value":8351,"base":6}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3938,"base":6},"right_expr":{"type":"numeric_atoms","value":1910,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1646,"base":6},"right_expr":{"type":"numeric_atoms","value":4456,"base":6}}}}},"used_operators":["XGcMNugi78","yXekIHxTD4","SUmda5xLS4","7j4O788W3g","5KTvxBwnZo","UMwdvZNt44","HiPekx5b7W","Z57zeUYC9z","cHh1gJQ2o6","0KMCeP1Jsh","5uvYHDjeKN","2GS7woTJqF","Ph9nP6C5qx","2Wsdkap16l","HmxsFra2vL"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1413, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1413","layer":3},{"info":"number node, value=6736","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=6736, right_input=1267, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6252","layer":3},{"info":"compute binary expreesion, left_input=1413, right_input=-6252, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-180205","layer":2},{"info":"number node, value=2493","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=2645, 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=-5034","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=3042, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-5034, right_input=9872, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-180205, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=7273","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=7273, right_input=3034, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=3434","layer":4},{"info":"number node, value=8351","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=8351, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10302","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-10302, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1144","layer":2},{"info":"number node, value=3938","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=3938, right_input=1910, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1908","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=4456, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1908, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=-473, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5240↺↹⩛10313⪄↹⩛51104≒∊↹⩛5511)⨥⫆(↹⩛15313⨜⨶↹⩛20125)⇡⇂(↹⩛12443⨔≚≋↹⩛22030))⫞⩸⩒((↹⩛53401⇍⊗↹⩛22014)≨(↹⩛23522+⪬∐↹⩛102355)⩘((↹⩛30122⩹↹⩛12502)≧⫂∧(↹⩛11342∙∹∝↹⩛32344)))=NaN","reverse_text":"NaN=((↹⩛5240↺↹⩛10313⪄↹⩛51104≒∊↹⩛5511)⨥⫆(↹⩛15313⨜⨶↹⩛20125)⇡⇂(↹⩛12443⨔≚≋↹⩛22030))⫞⩸⩒((↹⩛53401⇍⊗↹⩛22014)≨(↹⩛23522+⪬∐↹⩛102355)⩘((↹⩛30122⩹↹⩛12502)≧⫂∧(↹⩛11342∙∹∝↹⩛32344)))","cot":[{"info":"↹⩛5240↺↹⩛10313=↹⩛10313","layer":3},{"info":"↹⩛51104≒∊↹⩛5511=↹⩛-44540","layer":3},{"info":"↹⩛10313⪄↹⩛-44540=↹⩛-3510141","layer":2},{"info":"↹⩛15313⨜⨶↹⩛20125=↹⩛-35150","layer":3},{"info":"↹⩛12443⨔≚≋↹⩛22030=↹⩛113412","layer":3},{"info":"↹⩛-35150⇡⇂↹⩛113412=NaN","layer":2},{"info":"↹⩛-3510141⨥⫆NaN=NaN","layer":1},{"info":"↹⩛53401⇍⊗↹⩛22014=↹⩛-1044","layer":3},{"info":"↹⩛23522+⪬∐↹⩛102355=↹⩛-115410","layer":3},{"info":"↹⩛-1044≨↹⩛-115410=↹⩛5144","layer":2},{"info":"↹⩛30122⩹↹⩛12502=↹⩛12500","layer":3},{"info":"↹⩛11342∙∹∝↹⩛32344=↹⩛0","layer":3},{"info":"↹⩛12500≧⫂∧↹⩛0=↹⩛-2105","layer":2},{"info":"↹⩛5144⩘↹⩛-2105=↹⩛424","layer":1},{"info":"NaN⫞⩸⩒↹⩛424=NaN","layer":0}]} +{"id":530,"expression_no_base_symbol":"(↩⪖$2727$)⊴$1664$⊢$1126$≭(($5921$⇚⪠)⋷(⨙⪌$4188$))⨽(↑$2813$)≴⪞⇿($1755$⋻⩜⩜$2378$)⇍⊗(⨩∲⋌$5623$)↤⩊($4555$↳≱$3356$)","expression":"(↩⪖↹⩛20343)⊴↹⩛11412⊢↹⩛5114≭((↹⩛43225⇚⪠)⋷(⨙⪌↹⩛31220))⨽(↑↹⩛21005)≴⪞⇿(↹⩛12043⋻⩜⩜↹⩛15002)⇍⊗(⨩∲⋌↹⩛42011)↤⩊(↹⩛33031↳≱↹⩛23312)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":44357,"operation_count":15,"complexity_ratio":2957.133333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2727,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1664,"base":6},"right_expr":{"type":"numeric_atoms","value":1126,"base":6}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":5921,"base":6}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":4188,"base":6}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2813,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1755,"base":6},"right_expr":{"type":"numeric_atoms","value":2378,"base":6}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":5623,"base":6}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4555,"base":6},"right_expr":{"type":"numeric_atoms","value":3356,"base":6}}}}},"used_operators":["8HhzD0ZcuI","rxpJgHHUmx","Nsiff2A1zJ","fG6uBQFnGz","5twsqlHp2o","23Mk6UjR3U","Loh9y4A90B","vEGLkm4Z2k","5uvYHDjeKN","lvlrscuwVU","tR7O2zTn5j","oDCm7WA9JY","13rbtpv6ld","aSik1wnThz","JwTKLfZU96"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"compute unary expreesion, input=2727, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-19344","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=1126, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3572","layer":3},{"info":"compute binary expreesion, left_input=-19344, right_input=-3572, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5921","layer":4},{"info":"compute unary expreesion, input=5921, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=70116482","layer":3},{"info":"number node, value=4188","layer":4},{"info":"compute unary expreesion, input=4188, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=70116482, right_input=868, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-70114746","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-70114746, 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=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=2378, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3510","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=3510, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=13356","layer":2},{"info":"number node, value=5623","layer":4},{"info":"compute unary expreesion, input=5623, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-6146","layer":3},{"info":"number node, value=4555","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=3356, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6146, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13356, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↩⪖↹⩛20343)⊴↹⩛11412⊢↹⩛5114≭((↹⩛43225⇚⪠)⋷(⨙⪌↹⩛31220))⨽(↑↹⩛21005)≴⪞⇿(↹⩛12043⋻⩜⩜↹⩛15002)⇍⊗(⨩∲⋌↹⩛42011)↤⩊(↹⩛33031↳≱↹⩛23312)=NaN","reverse_text":"NaN=(↩⪖↹⩛20343)⊴↹⩛11412⊢↹⩛5114≭((↹⩛43225⇚⪠)⋷(⨙⪌↹⩛31220))⨽(↑↹⩛21005)≴⪞⇿(↹⩛12043⋻⩜⩜↹⩛15002)⇍⊗(⨩∲⋌↹⩛42011)↤⩊(↹⩛33031↳≱↹⩛23312)","cot":[{"info":"↩⪖↹⩛20343=↹⩛-225320","layer":3},{"info":"↹⩛11412⊢↹⩛5114=↹⩛-24312","layer":3},{"info":"↹⩛-225320⊴↹⩛-24312=NaN","layer":2},{"info":"↹⩛43225⇚⪠=↹⩛10542501202","layer":3},{"info":"⨙⪌↹⩛31220=↹⩛4004","layer":3},{"info":"↹⩛10542501202⋷↹⩛4004=↹⩛-10542445150","layer":2},{"info":"NaN≭↹⩛-10542445150=NaN","layer":1},{"info":"↑↹⩛21005=↹⩛520","layer":3},{"info":"↹⩛12043⋻⩜⩜↹⩛15002=↹⩛24130","layer":3},{"info":"↹⩛520≴⪞⇿↹⩛24130=↹⩛141500","layer":2},{"info":"⨩∲⋌↹⩛42011=↹⩛-44242","layer":3},{"info":"↹⩛33031↳≱↹⩛23312=↹⩛0","layer":3},{"info":"↹⩛-44242↤⩊↹⩛0=NaN","layer":2},{"info":"↹⩛141500⇍⊗NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]} +{"id":531,"expression_no_base_symbol":"((⨈⫕($6528$⋷$1315$))∪⫐((∮$1557$)⇐≅))⪮%⊝(⨈⫕($1164$≀⩗∶$3115$)⨑⩅≇($2065$⇪⋭))","expression":"((⨈⫕(↹⩛50120⋷↹⩛10031))∪⫐((∮↹⩛11113)⇐≅))⪮%⊝(⨈⫕(↹⩛5220≀⩗∶↹⩛22231)⨑⩅≇(↹⩛13321⇪⋭))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1239,"operation_count":10,"complexity_ratio":123.9,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6528,"base":6},"right_expr":{"type":"numeric_atoms","value":1315,"base":6}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1557,"base":6}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1164,"base":6},"right_expr":{"type":"numeric_atoms","value":3115,"base":6}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":2065,"base":6}}}}},"used_operators":["IWmyXbctLI","7YooWSwCyH","megm06wKyl","23Mk6UjR3U","wEfv7U73WA","CqXKPLVYql","h92wMvzauj","8INZBEW696","Z8Yg6dlDSp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"↹⩛1134","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6528","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=1315, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3898","layer":3},{"info":"compute unary expreesion, input=-3898, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-540","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-540, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-21","layer":1},{"info":"number node, value=1164","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=3115, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"number node, value=2065","layer":4},{"info":"compute unary expreesion, input=2065, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute unary expreesion, input=935, 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":"compute binary expreesion, left_input=-21, right_input=-21, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":0}],"base":6,"result_base":6,"text":"((⨈⫕(↹⩛50120⋷↹⩛10031))∪⫐((∮↹⩛11113)⇐≅))⪮%⊝(⨈⫕(↹⩛5220≀⩗∶↹⩛22231)⨑⩅≇(↹⩛13321⇪⋭))=↹⩛1134","reverse_text":"↹⩛1134=((⨈⫕(↹⩛50120⋷↹⩛10031))∪⫐((∮↹⩛11113)⇐≅))⪮%⊝(⨈⫕(↹⩛5220≀⩗∶↹⩛22231)⨑⩅≇(↹⩛13321⇪⋭))","cot":[{"info":"↹⩛50120⋷↹⩛10031=↹⩛-30014","layer":3},{"info":"⨈⫕↹⩛-30014=↹⩛-33","layer":2},{"info":"∮↹⩛11113=↹⩛151","layer":3},{"info":"↹⩛151⇐≅=↹⩛-2300","layer":2},{"info":"↹⩛-33∪⫐↹⩛-2300=↹⩛-33","layer":1},{"info":"↹⩛5220≀⩗∶↹⩛22231=↹⩛-10","layer":3},{"info":"↹⩛13321⇪⋭=NaN","layer":3},{"info":"↹⩛-10⨑⩅≇NaN=↹⩛4155","layer":2},{"info":"⨈⫕↹⩛4155=↹⩛-33","layer":1},{"info":"↹⩛-33⪮%⊝↹⩛-33=↹⩛1134","layer":0}]} +{"id":532,"expression_no_base_symbol":"((↣≠⋷$1226$↳∿⪆$2993$)∠↢($1648$⫸⊐$6628$)⫞⩸⩒($2090$↹⊜$1130$))⪘⫢((-$1741$)≀⫉(∜⨇$2568$)⪇≇⋚(($3414$⇉⇉)⪇≇⋚($2118$⪚⩙≫)))","expression":"((↣≠⋷↹⩛5402↳∿⪆↹⩛21505)∠↢(↹⩛11344⫸⊐↹⩛50404)⫞⩸⩒(↹⩛13402↹⊜↹⩛5122))⪘⫢((-↹⩛12021)≀⫉(∜⨇↹⩛15520)⪇≇⋚((↹⩛23450⇉⇉)⪇≇⋚(↹⩛13450⪚⩙≫)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2792,"operation_count":14,"complexity_ratio":199.42857142857142,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1226,"base":6},"right_expr":{"type":"numeric_atoms","value":2993,"base":6}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1648,"base":6},"right_expr":{"type":"numeric_atoms","value":6628,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2090,"base":6},"right_expr":{"type":"numeric_atoms","value":1130,"base":6}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1741,"base":6}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2568,"base":6}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":3414,"base":6}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":2118,"base":6}}}}},"used_operators":["oacrs7FA3X","KbjG8mgYpV","Asc51vEJeQ","Cw4SuJJGHO","XGcMNugi78","mqXw5SEYmG","9bazX3JMtO","3sJ7IOPOlU","oZj3VtZNQx","t8gj7n24qd","uFPyJr306J","diKm42VcIt","4n53wtyJvv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1226","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=2993, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1648","layer":4},{"info":"number node, value=6628","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=6628, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26387","layer":3},{"info":"number node, value=2090","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1130, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-436","layer":3},{"info":"compute binary expreesion, left_input=26387, right_input=-436, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=26387","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26387, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=1741","layer":4},{"info":"compute unary expreesion, input=1741, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1741","layer":3},{"info":"number node, value=2568","layer":4},{"info":"compute unary expreesion, input=2568, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1741, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=3414","layer":4},{"info":"compute unary expreesion, input=3414, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-217408","layer":3},{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-217408, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, 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 = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↣≠⋷↹⩛5402↳∿⪆↹⩛21505)∠↢(↹⩛11344⫸⊐↹⩛50404)⫞⩸⩒(↹⩛13402↹⊜↹⩛5122))⪘⫢((-↹⩛12021)≀⫉(∜⨇↹⩛15520)⪇≇⋚((↹⩛23450⇉⇉)⪇≇⋚(↹⩛13450⪚⩙≫)))=NaN","reverse_text":"NaN=((↣≠⋷↹⩛5402↳∿⪆↹⩛21505)∠↢(↹⩛11344⫸⊐↹⩛50404)⫞⩸⩒(↹⩛13402↹⊜↹⩛5122))⪘⫢((-↹⩛12021)≀⫉(∜⨇↹⩛15520)⪇≇⋚((↹⩛23450⇉⇉)⪇≇⋚(↹⩛13450⪚⩙≫)))","cot":[{"info":"↹⩛5402↳∿⪆↹⩛21505=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"↹⩛11344⫸⊐↹⩛50404=↹⩛322055","layer":3},{"info":"↹⩛13402↹⊜↹⩛5122=↹⩛-2004","layer":3},{"info":"↹⩛322055⫞⩸⩒↹⩛-2004=↹⩛322055","layer":2},{"info":"NaN∠↢↹⩛322055=NaN","layer":1},{"info":"-↹⩛12021=↹⩛-12021","layer":3},{"info":"∜⨇↹⩛15520=NaN","layer":3},{"info":"↹⩛-12021≀⫉NaN=↹⩛21022","layer":2},{"info":"↹⩛23450⇉⇉=↹⩛-4354304","layer":3},{"info":"↹⩛13450⪚⩙≫=NaN","layer":3},{"info":"↹⩛-4354304⪇≇⋚NaN=NaN","layer":2},{"info":"↹⩛21022⪇≇⋚NaN=↹⩛0","layer":1},{"info":"NaN⪘⫢↹⩛0=NaN","layer":0}]} +{"id":533,"expression_no_base_symbol":"(($3388$≬⋮$3796$)⩵∡$2419$∴$2631$)⨚(($3704$⇪⋭)≃⋄)≒∊(⩪∧⨌(⊑$1866$))⨔⇊((⫛⫱⨽$2526$)⪉⨛$1121$⫸⇳$3979$)","expression":"((↹⩛23404≬⋮↹⩛25324)⩵∡↹⩛15111∴↹⩛20103)⨚((↹⩛25052⇪⋭)≃⋄)≒∊(⩪∧⨌(⊑↹⩛12350))⨔⇊((⫛⫱⨽↹⩛15410)⪉⨛↹⩛5105⫸⇳↹⩛30231)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1976,"operation_count":13,"complexity_ratio":152.0,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3388,"base":6},"right_expr":{"type":"numeric_atoms","value":3796,"base":6}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2419,"base":6},"right_expr":{"type":"numeric_atoms","value":2631,"base":6}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3704,"base":6}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1866,"base":6}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2526,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1121,"base":6},"right_expr":{"type":"numeric_atoms","value":3979,"base":6}}}}},"used_operators":["5KTvxBwnZo","nREPSIbpBE","Y7wcNGrDQJ","kbkesczE7y","hrf7POJlIJ","aN9a90urxU","Z8Yg6dlDSp","JclMnS0uGI","6iOiAJX1F8","IkUmn0D7oy","EWw2JM7wp4","DlLNRPXxWL","gx7XJ7hdpj"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","uFcxV4UQCh","jLgFTUHLKL","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rGHVDoGpnC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3388","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=3796, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2419","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=2631, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6486","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=6486, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=4629","layer":2},{"info":"number node, value=3704","layer":4},{"info":"compute unary expreesion, input=3704, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4629, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=1866","layer":4},{"info":"compute unary expreesion, input=1866, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=1920","layer":2},{"info":"number node, value=2526","layer":4},{"info":"compute unary expreesion, input=2526, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3979, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=215","layer":2},{"info":"compute binary expreesion, left_input=1920, right_input=215, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=215","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=215, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛23404≬⋮↹⩛25324)⩵∡↹⩛15111∴↹⩛20103)⨚((↹⩛25052⇪⋭)≃⋄)≒∊(⩪∧⨌(⊑↹⩛12350))⨔⇊((⫛⫱⨽↹⩛15410)⪉⨛↹⩛5105⫸⇳↹⩛30231)=NaN","reverse_text":"NaN=((↹⩛23404≬⋮↹⩛25324)⩵∡↹⩛15111∴↹⩛20103)⨚((↹⩛25052⇪⋭)≃⋄)≒∊(⩪∧⨌(⊑↹⩛12350))⨔⇊((⫛⫱⨽↹⩛15410)⪉⨛↹⩛5105⫸⇳↹⩛30231)","cot":[{"info":"↹⩛23404≬⋮↹⩛25324=↹⩛4004","layer":3},{"info":"↹⩛15111∴↹⩛20103=↹⩛50010","layer":3},{"info":"↹⩛4004⩵∡↹⩛50010=↹⩛33233","layer":2},{"info":"↹⩛25052⇪⋭=NaN","layer":3},{"info":"NaN≃⋄=NaN","layer":2},{"info":"↹⩛33233⨚NaN=NaN","layer":1},{"info":"⊑↹⩛12350=↹⩛520","layer":3},{"info":"⩪∧⨌↹⩛520=↹⩛12520","layer":2},{"info":"⫛⫱⨽↹⩛15410=↹⩛0","layer":3},{"info":"↹⩛5105⫸⇳↹⩛30231=↹⩛0","layer":3},{"info":"↹⩛0⪉⨛↹⩛0=↹⩛555","layer":2},{"info":"↹⩛12520⨔⇊↹⩛555=↹⩛555","layer":1},{"info":"NaN≒∊↹⩛555=NaN","layer":0}]} +{"id":534,"expression_no_base_symbol":"(($1014$∙∹∝$5080$)⊕∕(⇜$3950$)⨹)∋((∟⋨($1023$∷$1184$))⪒⊣⊆($3456$⇆⨓≜)⨑⩅≇(⫛⫱⨽$7820$))","expression":"((↹⩛4410∙∹∝↹⩛35304)⊕∕(⇜↹⩛30142)⨹)∋((∟⋨(↹⩛4423∷↹⩛5252))⪒⊣⊆(↹⩛24000⇆⨓≜)⨑⩅≇(⫛⫱⨽↹⩛100112))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6513,"operation_count":11,"complexity_ratio":592.0909090909091,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1014,"base":6},"right_expr":{"type":"numeric_atoms","value":5080,"base":6}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3950,"base":6}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1023,"base":6},"right_expr":{"type":"numeric_atoms","value":1184,"base":6}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3456,"base":6}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7820,"base":6}}}}},"used_operators":["ukq6epAj5P","UnCoSGIALn","9cloC0Ngie","HmxsFra2vL","lFBm8KRb8F","eRqsBgTDFp","ctOc4cKSDt","D3AQDKkPcf","h92wMvzauj","KvvgdUaMHJ","DlLNRPXxWL"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","mp7IySMOzn","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","NTOWxs364D","7j4O788W3g","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Uaa54Peajs","KYD54nUTWz","rGHVDoGpnC"],"result":"↹⩛404333424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=5080","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=5080, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3950","layer":4},{"info":"compute unary expreesion, input=3950, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-32008","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-32008, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=0","layer":1},{"info":"number node, value=1023","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1184, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1184","layer":3},{"info":"compute unary expreesion, input=1184, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-700","layer":2},{"info":"number node, value=3456","layer":4},{"info":"compute unary expreesion, input=3456, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=7820","layer":4},{"info":"compute unary expreesion, input=7820, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=-700, right_input=935, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3372","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3372, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6933112","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4410∙∹∝↹⩛35304)⊕∕(⇜↹⩛30142)⨹)∋((∟⋨(↹⩛4423∷↹⩛5252))⪒⊣⊆(↹⩛24000⇆⨓≜)⨑⩅≇(⫛⫱⨽↹⩛100112))=↹⩛404333424","reverse_text":"↹⩛404333424=((↹⩛4410∙∹∝↹⩛35304)⊕∕(⇜↹⩛30142)⨹)∋((∟⋨(↹⩛4423∷↹⩛5252))⪒⊣⊆(↹⩛24000⇆⨓≜)⨑⩅≇(⫛⫱⨽↹⩛100112))","cot":[{"info":"↹⩛4410∙∹∝↹⩛35304=↹⩛0","layer":3},{"info":"⇜↹⩛30142=↹⩛-404104","layer":3},{"info":"↹⩛0⊕∕↹⩛-404104=↹⩛0","layer":2},{"info":"↹⩛0⨹=↹⩛0","layer":1},{"info":"↹⩛4423∷↹⩛5252=↹⩛5252","layer":3},{"info":"∟⋨↹⩛5252=↹⩛-3124","layer":2},{"info":"↹⩛24000⇆⨓≜=NaN","layer":3},{"info":"⫛⫱⨽↹⩛100112=↹⩛0","layer":3},{"info":"NaN⨑⩅≇↹⩛0=↹⩛4155","layer":2},{"info":"↹⩛-3124⪒⊣⊆↹⩛4155=↹⩛23340","layer":1},{"info":"↹⩛0∋↹⩛23340=↹⩛404333424","layer":0}]} +{"id":535,"expression_no_base_symbol":"(↡(⊁⨺$1847$))⋕⪉⪜($3094$⪕$3013$⊹∫⫚($3698$⫚↹⊑$2673$))⩢≌","expression":"(↡(⊁⨺↹⩛12315))⋕⪉⪜(↹⩛22154⪕↹⩛21541⊹∫⫚(↹⩛25042⫚↹⊑↹⩛20213))⩢≌","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":328,"operation_count":7,"complexity_ratio":46.857142857142854,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1847,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3094,"base":6},"right_expr":{"type":"numeric_atoms","value":3013,"base":6}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3698,"base":6},"right_expr":{"type":"numeric_atoms","value":2673,"base":6}}}}},"used_operators":["D617RFjZIq","z6LnFrNh4i","MXaNJeIAZ3","PxiHyQbrIp","uWAJUKEvyW","umQnsF7QlU","dfKe02y8D2"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"compute unary expreesion, input=1847, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=1440","layer":2},{"info":"number node, value=3094","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=3013, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4076","layer":3},{"info":"number node, value=3698","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=3698, right_input=2673, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=4076, right_input=-447, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=-204, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute unary expreesion, input=2802, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(↡(⊁⨺↹⩛12315))⋕⪉⪜(↹⩛22154⪕↹⩛21541⊹∫⫚(↹⩛25042⫚↹⊑↹⩛20213))⩢≌=↹⩛305","reverse_text":"↹⩛305=(↡(⊁⨺↹⩛12315))⋕⪉⪜(↹⩛22154⪕↹⩛21541⊹∫⫚(↹⩛25042⫚↹⊑↹⩛20213))⩢≌","cot":[{"info":"⊁⨺↹⩛12315=↹⩛424","layer":3},{"info":"↡↹⩛424=↹⩛10400","layer":2},{"info":"↹⩛22154⪕↹⩛21541=↹⩛30512","layer":3},{"info":"↹⩛25042⫚↹⊑↹⩛20213=↹⩛-2023","layer":3},{"info":"↹⩛30512⊹∫⫚↹⩛-2023=↹⩛-540","layer":2},{"info":"↹⩛10400⋕⪉⪜↹⩛-540=↹⩛20550","layer":1},{"info":"↹⩛20550⩢≌=↹⩛305","layer":0}]} +{"id":536,"expression_no_base_symbol":"(⇘($2582$⪚$1882$))≁↽≥(($5626$⊲⩕⊾$2294$)⊟⇱)⫃⨇((⪓⩚$8203$)⪛(↨⩢⫨$6237$))⨽∌(($3243$⨴∎)⋥⋵⩄($1068$⊬⨰$4180$))","expression":"(⇘(↹⩛15542⪚↹⩛12414))≁↽≥((↹⩛42014⊲⩕⊾↹⩛14342)⊟⇱)⫃⨇((⪓⩚↹⩛101551)⪛(↨⩢⫨↹⩛44513))⨽∌((↹⩛23003⨴∎)⋥⋵⩄(↹⩛4540⊬⨰↹⩛31204))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":227889,"operation_count":13,"complexity_ratio":17529.923076923078,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2582,"base":6},"right_expr":{"type":"numeric_atoms","value":1882,"base":6}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5626,"base":6},"right_expr":{"type":"numeric_atoms","value":2294,"base":6}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":8203,"base":6}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":6237,"base":6}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":3243,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1068,"base":6},"right_expr":{"type":"numeric_atoms","value":4180,"base":6}}}}},"used_operators":["09Ly4LVMIf","ncHt1X6cMc","MGuIdZPyUC","HrjLwUk87U","03sUfWo75k","DmTXOeWf9t","9samAPKr6k","uFcxV4UQCh","u0R0Locfp2","Z5CJsN7DuW","7t3wd0Fuz7","CpSg5vQTgA","s3Fd5m9Dh2"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oWn0xqSxBt","3Oe9XWJUTD","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","IWmyXbctLI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2582","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=1882, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1044","layer":3},{"info":"compute unary expreesion, input=1044, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=57022","layer":2},{"info":"number node, value=5626","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=5626, right_input=2294, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-109586","layer":3},{"info":"compute unary expreesion, input=-109586, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-218856","layer":2},{"info":"compute binary expreesion, left_input=57022, right_input=-218856, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"number node, value=8203","layer":4},{"info":"compute unary expreesion, input=8203, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240��213) , else }', output=426","layer":3},{"info":"number node, value=6237","layer":4},{"info":"compute unary expreesion, input=6237, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3243","layer":4},{"info":"compute unary expreesion, input=3243, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=4180, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16732","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16732, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇘(↹⩛15542⪚↹⩛12414))≁↽≥((↹⩛42014⊲⩕⊾↹⩛14342)⊟⇱)⫃⨇((⪓⩚↹⩛101551)⪛(↨⩢⫨↹⩛44513))⨽∌((↹⩛23003⨴∎)⋥⋵⩄(↹⩛4540⊬⨰↹⩛31204))=NaN","reverse_text":"NaN=(⇘(↹⩛15542⪚↹⩛12414))≁↽≥((↹⩛42014⊲⩕⊾↹⩛14342)⊟⇱)⫃⨇((⪓⩚↹⩛101551)⪛(↨⩢⫨↹⩛44513))⨽∌((↹⩛23003⨴∎)⋥⋵⩄(↹⩛4540⊬⨰↹⩛31204))","cot":[{"info":"↹⩛15542⪚↹⩛12414=↹⩛4500","layer":3},{"info":"⇘↹⩛4500=↹⩛1115554","layer":2},{"info":"↹⩛42014⊲⩕⊾↹⩛14342=↹⩛-2203202","layer":3},{"info":"↹⩛-2203202⊟⇱=↹⩛-4405120","layer":2},{"info":"↹⩛1115554≁↽≥↹⩛-4405120=↹⩛524","layer":1},{"info":"⪓⩚↹⩛101551=↹⩛1550","layer":3},{"info":"↨⩢⫨↹⩛44513=↹⩛0","layer":3},{"info":"↹⩛1550⪛↹⩛0=NaN","layer":2},{"info":"↹⩛23003⨴∎=NaN","layer":3},{"info":"↹⩛4540⊬⨰↹⩛31204=↹⩛205244","layer":3},{"info":"NaN⋥⋵⩄↹⩛205244=NaN","layer":2},{"info":"NaN⨽∌NaN=NaN","layer":1},{"info":"↹⩛524⫃⨇NaN=NaN","layer":0}]} +{"id":537,"expression_no_base_symbol":"(⊢≑≆($6126$≬⇓$2014$))≚⊃≕$7051$≁$1662$⪒⊣⊆($1144$⇷$4310$)∙⊟(↡(($2147$⋷$3183$)⫚⫇))","expression":"(⊢≑≆(↹⩛44210≬⇓↹⩛13154))≚⊃≕↹⩛52351≁↹⩛11410⪒⊣⊆(↹⩛5144⇷↹⩛31542)∙⊟(↡((↹⩛13535⋷↹⩛22423)⫚⫇))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":179366,"operation_count":10,"complexity_ratio":17936.6,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":6126,"base":6},"right_expr":{"type":"numeric_atoms","value":2014,"base":6}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7051,"base":6},"right_expr":{"type":"numeric_atoms","value":1662,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1144,"base":6},"right_expr":{"type":"numeric_atoms","value":4310,"base":6}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2147,"base":6},"right_expr":{"type":"numeric_atoms","value":3183,"base":6}}}}},"used_operators":["SxTAKzQCrw","Bmrmz2XGnR","27wFxooxGf","jWTQ2TZYIH","eRqsBgTDFp","8N2wDY1A35","mp7IySMOzn","MXaNJeIAZ3","SdCjLnB6rR","23Mk6UjR3U"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","W4YGzv6Whe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛113443424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6126","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=6126, right_input=2014, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=237","layer":2},{"info":"number node, value=7051","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=7051, right_input=1662, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=26687","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=4310","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=4310, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8620","layer":3},{"info":"compute binary expreesion, left_input=26687, right_input=8620, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=53374","layer":2},{"info":"compute binary expreesion, left_input=237, right_input=53374, 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=-163144","layer":1},{"info":"number node, value=2147","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=3183, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4219","layer":3},{"info":"compute unary expreesion, input=4219, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=6970","layer":2},{"info":"compute unary expreesion, input=6970, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=62730","layer":1},{"info":"compute binary expreesion, left_input=-163144, right_input=62730, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=2136616","layer":0}],"base":6,"result_base":6,"text":"(⊢≑≆(↹⩛44210≬⇓↹⩛13154))≚⊃≕↹⩛52351≁↹⩛11410⪒⊣⊆(↹⩛5144⇷↹⩛31542)∙⊟(↡((↹⩛13535⋷↹⩛22423)⫚⫇))=↹⩛113443424","reverse_text":"↹⩛113443424=(⊢≑≆(↹⩛44210≬⇓↹⩛13154))≚⊃≕↹⩛52351≁↹⩛11410⪒⊣⊆(↹⩛5144⇷↹⩛31542)∙⊟(↡((↹⩛13535⋷↹⩛22423)⫚⫇))","cot":[{"info":"↹⩛44210≬⇓↹⩛13154=↹⩛-34","layer":3},{"info":"⊢≑≆↹⩛-34=↹⩛1033","layer":2},{"info":"↹⩛52351≁↹⩛11410=↹⩛323315","layer":3},{"info":"↹⩛5144⇷↹⩛31542=↹⩛103524","layer":3},{"info":"↹⩛323315⪒⊣⊆↹⩛103524=↹⩛1051034","layer":2},{"info":"↹⩛1033≚⊃≕↹⩛1051034=↹⩛-3255144","layer":1},{"info":"↹⩛13535⋷↹⩛22423=↹⩛31311","layer":3},{"info":"↹⩛31311⫚⫇=↹⩛52134","layer":2},{"info":"↡↹⩛52134=↹⩛1202230","layer":1},{"info":"↹⩛-3255144∙⊟↹⩛1202230=↹⩛113443424","layer":0}]} +{"id":538,"expression_no_base_symbol":"(($4447$⊚⫡⫭)⊝⪿⪼(⩦⊞$3194$))⩇∃⫛((∑⇻≧$5648$)∖$1083$⫁$6102$)⪶≀⋏((⊥($6214$≀⫉$7259$))⨰($3795$∌↝$4487$)⫁⪎($2098$≓∲$1004$))","expression":"((↹⩛32331⊚⫡⫭)⊝⪿⪼(⩦⊞↹⩛22442))⩇∃⫛((∑⇻≧↹⩛42052)∖↹⩛5003⫁↹⩛44130)⪶≀⋏((⊥(↹⩛44434≀⫉↹⩛53335))⨰(↹⩛25323∌↝↹⩛32435)⫁⪎(↹⩛13414≓∲↹⩛4352))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":587,"operation_count":14,"complexity_ratio":41.92857142857143,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":4447,"base":6}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3194,"base":6}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":5648,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1083,"base":6},"right_expr":{"type":"numeric_atoms","value":6102,"base":6}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6214,"base":6},"right_expr":{"type":"numeric_atoms","value":7259,"base":6}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3795,"base":6},"right_expr":{"type":"numeric_atoms","value":4487,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2098,"base":6},"right_expr":{"type":"numeric_atoms","value":1004,"base":6}}}}},"used_operators":["zR4jO40bMj","1aApVXNlOP","3Oe9XWJUTD","SpZWOsLKZJ","u7fv1HBiaC","tXD093vOjl","l1M9WJ3V7u","0ajvFaJAv0","eewbuw0ToL","Q3PJZHRvZv","oZj3VtZNQx","xRrnTEsQ6j","9Isq31Ruls","s1XTVnmDOJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4447","layer":4},{"info":"compute unary expreesion, input=4447, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-7968","layer":3},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2921","layer":3},{"info":"compute binary expreesion, left_input=-7968, right_input=-2921, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-109588","layer":2},{"info":"number node, value=5648","layer":4},{"info":"compute unary expreesion, input=5648, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=6102, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-852, 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":2},{"info":"compute binary expreesion, left_input=-109588, 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=-109588","layer":1},{"info":"number node, value=6214","layer":4},{"info":"number node, value=7259","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=7259, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3795","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=3795, right_input=4487, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2098","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=1004, 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=21763","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=21763, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-21763","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21763, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-109588, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛32331⊚⫡⫭)⊝⪿⪼(⩦⊞↹⩛22442))⩇∃⫛((∑⇻≧↹⩛42052)∖↹⩛5003⫁↹⩛44130)⪶≀⋏((⊥(↹⩛44434≀⫉↹⩛53335))⨰(↹⩛25323∌↝↹⩛32435)⫁⪎(↹⩛13414≓∲↹⩛4352))=NaN","reverse_text":"NaN=((↹⩛32331⊚⫡⫭)⊝⪿⪼(⩦⊞↹⩛22442))⩇∃⫛((∑⇻≧↹⩛42052)∖↹⩛5003⫁↹⩛44130)⪶≀⋏((⊥(↹⩛44434≀⫉↹⩛53335))⨰(↹⩛25323∌↝↹⩛32435)⫁⪎(↹⩛13414≓∲↹⩛4352))","cot":[{"info":"↹⩛32331⊚⫡⫭=↹⩛-100520","layer":3},{"info":"⩦⊞↹⩛22442=↹⩛-21305","layer":3},{"info":"↹⩛-100520⊝⪿⪼↹⩛-21305=↹⩛-2203204","layer":2},{"info":"∑⇻≧↹⩛42052=↹⩛-3540","layer":3},{"info":"↹⩛5003⫁↹⩛44130=↹⩛424","layer":3},{"info":"↹⩛-3540∖↹⩛424=↹⩛0","layer":2},{"info":"↹⩛-2203204⩇∃⫛↹⩛0=↹⩛-2203204","layer":1},{"info":"↹⩛44434≀⫉↹⩛53335=↹⩛21022","layer":3},{"info":"⊥↹⩛21022=NaN","layer":2},{"info":"↹⩛25323∌↝↹⩛32435=↹⩛0","layer":3},{"info":"↹⩛13414≓∲↹⩛4352=↹⩛244431","layer":3},{"info":"↹⩛0⫁⪎↹⩛244431=↹⩛-244431","layer":2},{"info":"NaN⨰↹⩛-244431=NaN","layer":1},{"info":"↹⩛-2203204⪶≀⋏NaN=NaN","layer":0}]} +{"id":539,"expression_no_base_symbol":"⇠(((≀↧⇸$1483$)∪⫐$3975$≬⋮$7424$)⋝⋈⪟($3877$⪎↠$6718$⫌⩉⩟$4214$⨭⪣$4747$))","expression":"⇠(((≀↧⇸↹⩛10511)∪⫐↹⩛30223≬⋮↹⩛54212)⋝⋈⪟(↹⩛25541⪎↠↹⩛51034⫌⩉⩟↹⩛31302⨭⪣↹⩛33551))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14694,"operation_count":8,"complexity_ratio":1836.75,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1483,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3975,"base":6},"right_expr":{"type":"numeric_atoms","value":7424,"base":6}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3877,"base":6},"right_expr":{"type":"numeric_atoms","value":6718,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4214,"base":6},"right_expr":{"type":"numeric_atoms","value":4747,"base":6}}}}},"used_operators":["18saOjeKKm","2DDjHMKMc0","7YooWSwCyH","ljTHtUsqzn","kbkesczE7y","XIIwhv8d0m","3tVxb0NHM4","kn8WO9XteQ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","XPYlsWDdGa","23Mk6UjR3U","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"↹⩛-20340","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2966","layer":3},{"info":"number node, value=3975","layer":4},{"info":"number node, value=7424","layer":4},{"info":"compute binary expreesion, left_input=3975, right_input=7424, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=2966, right_input=868, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2966","layer":2},{"info":"number node, value=3877","layer":4},{"info":"number node, value=6718","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=6718, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=4214","layer":4},{"info":"number node, value=4747","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=4747, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2935","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2935, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=2966, right_input=-50, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2966","layer":1},{"info":"compute unary expreesion, input=2966, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2724","layer":0}],"base":6,"result_base":6,"text":"⇠(((≀↧⇸↹⩛10511)∪⫐↹⩛30223≬⋮↹⩛54212)⋝⋈⪟(↹⩛25541⪎↠↹⩛51034⫌⩉⩟↹⩛31302⨭⪣↹⩛33551))=↹⩛-20340","reverse_text":"↹⩛-20340=⇠(((≀↧⇸↹⩛10511)∪⫐↹⩛30223≬⋮↹⩛54212)⋝⋈⪟(↹⩛25541⪎↠↹⩛51034⫌⩉⩟↹⩛31302⨭⪣↹⩛33551))","cot":[{"info":"≀↧⇸↹⩛10511=↹⩛21422","layer":3},{"info":"↹⩛30223≬⋮↹⩛54212=↹⩛4004","layer":3},{"info":"↹⩛21422∪⫐↹⩛4004=↹⩛21422","layer":2},{"info":"↹⩛25541⪎↠↹⩛51034=↹⩛424","layer":3},{"info":"↹⩛31302⨭⪣↹⩛33551=↹⩛21331","layer":3},{"info":"↹⩛424⫌⩉⩟↹⩛21331=↹⩛-122","layer":2},{"info":"↹⩛21422⋝⋈⪟↹⩛-122=↹⩛21422","layer":1},{"info":"⇠↹⩛21422=↹⩛-20340","layer":0}]} +{"id":540,"expression_no_base_symbol":"⊊≼∋(((⨈⫕$8159$)∠↢($2401$⨘⋶⪀))⊬⨰(⇨($2234$⋓$7688$)))","expression":"⊊≼∋(((⨈⫕↹⩛101435)∠↢(↹⩛15041⨘⋶⪀))⊬⨰(⇨(↹⩛14202⋓↹⩛55332)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":532,"operation_count":7,"complexity_ratio":76.0,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8159,"base":6}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2401,"base":6}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2234,"base":6},"right_expr":{"type":"numeric_atoms","value":7688,"base":6}}}}},"used_operators":["FWz7pXsQhA","s3Fd5m9Dh2","KbjG8mgYpV","megm06wKyl","XVKwrhznBb","G9tJMlZ94a","T2fj7uvVaJ"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8159","layer":4},{"info":"compute unary expreesion, input=8159, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=2401","layer":4},{"info":"compute unary expreesion, input=2401, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=2234","layer":4},{"info":"number node, value=7688","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=7688, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊊≼∋(((⨈⫕↹⩛101435)∠↢(↹⩛15041⨘⋶⪀))⊬⨰(⇨(↹⩛14202⋓↹⩛55332)))=NaN","reverse_text":"NaN=⊊≼∋(((⨈⫕↹⩛101435)∠↢(↹⩛15041⨘⋶⪀))⊬⨰(⇨(↹⩛14202⋓↹⩛55332)))","cot":[{"info":"⨈⫕↹⩛101435=↹⩛-33","layer":3},{"info":"↹⩛15041⨘⋶⪀=NaN","layer":3},{"info":"↹⩛-33∠↢NaN=NaN","layer":2},{"info":"↹⩛14202⋓↹⩛55332=↹⩛0","layer":3},{"info":"⇨↹⩛0=NaN","layer":2},{"info":"NaN⊬⨰NaN=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]} +{"id":541,"expression_no_base_symbol":"((($4702$/$1146$)≄⊠(≇⪴$5158$))⩍⋽⫝̸($5414$∝$6265$)∌($3110$↛⩡⫤))⋥⋵⩄($7393$≎⊠⪸$3934$⪇≇⋚$1906$⪶≀⋏$6719$⋭≵(⩪∧⨌($5163$⊭∹↮)))","expression":"(((↹⩛33434/↹⩛5150)≄⊠(≇⪴↹⩛35514))⩍⋽⫝̸(↹⩛41022∝↹⩛45001)∌(↹⩛22222↛⩡⫤))⋥⋵⩄(↹⩛54121≎⊠⪸↹⩛30114⪇≇⋚↹⩛12454⪶≀⋏↹⩛51035⋭≵(⩪∧⨌(↹⩛35523⊭∹↮)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9943,"operation_count":14,"complexity_ratio":710.2142857142857,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4702,"base":6},"right_expr":{"type":"numeric_atoms","value":1146,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":5158,"base":6}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5414,"base":6},"right_expr":{"type":"numeric_atoms","value":6265,"base":6}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3110,"base":6}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7393,"base":6},"right_expr":{"type":"numeric_atoms","value":3934,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1906,"base":6},"right_expr":{"type":"numeric_atoms","value":6719,"base":6}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5163,"base":6}}}}},"used_operators":["7t3wd0Fuz7","BiWNJpBvwn","vXNesLlMH1","XhwjNDsVaA","zoVPnxeHJ3","8cLx32lpNA","cTDWOvIxvz","FU0Cs4j7VP","jBncVCNhdl","3sJ7IOPOlU","bJkvcejdHO","zR4jO40bMj","6iOiAJX1F8","xNBdhnnwKq"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Ph9nP6C5qx","xUOZtlo3hN","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4702","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=4702, right_input=1146, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=5158","layer":4},{"info":"compute unary expreesion, input=5158, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-14134","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=-14134, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=5414","layer":4},{"info":"number node, value=6265","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=6265, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5419","layer":3},{"info":"number node, value=3110","layer":4},{"info":"compute unary expreesion, input=3110, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-465699","layer":3},{"info":"compute binary expreesion, left_input=5419, right_input=-465699, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=465699","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=465699, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=464753","layer":1},{"info":"number node, value=7393","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=7393, right_input=3934, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1914314","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=6719","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=6719, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19388","layer":3},{"info":"compute binary expreesion, left_input=1914314, right_input=-19388, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5163","layer":4},{"info":"compute unary expreesion, input=5163, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10326","layer":3},{"info":"compute unary expreesion, input=10326, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=103260","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=103260, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":1},{"info":"compute binary expreesion, left_input=464753, right_input=34, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛33434/↹⩛5150)≄⊠(≇⪴↹⩛35514))⩍⋽⫝̸(↹⩛41022∝↹⩛45001)∌(↹⩛22222↛⩡⫤))⋥⋵⩄(↹⩛54121≎⊠⪸↹⩛30114⪇≇⋚↹⩛12454⪶≀⋏↹⩛51035⋭≵(⩪∧⨌(↹⩛35523⊭∹↮)))=↹⩛305","reverse_text":"↹⩛305=(((↹⩛33434/↹⩛5150)≄⊠(≇⪴↹⩛35514))⩍⋽⫝̸(↹⩛41022∝↹⩛45001)∌(↹⩛22222↛⩡⫤))⋥⋵⩄(↹⩛54121≎⊠⪸↹⩛30114⪇≇⋚↹⩛12454⪶≀⋏↹⩛51035⋭≵(⩪∧⨌(↹⩛35523⊭∹↮)))","cot":[{"info":"↹⩛33434/↹⩛5150=↹⩛4","layer":3},{"info":"≇⪴↹⩛35514=↹⩛-145234","layer":3},{"info":"↹⩛4≄⊠↹⩛-145234=↹⩛10540","layer":2},{"info":"↹⩛41022∝↹⩛45001=↹⩛41031","layer":3},{"info":"↹⩛22222↛⩡⫤=↹⩛-13552003","layer":3},{"info":"↹⩛41031∌↹⩛-13552003=↹⩛13552003","layer":2},{"info":"↹⩛10540⩍⋽⫝̸↹⩛13552003=↹⩛13543345","layer":1},{"info":"↹⩛54121≎⊠⪸↹⩛30114=↹⩛105010322","layer":3},{"info":"↹⩛12454⪶≀⋏↹⩛51035=↹⩛-225432","layer":3},{"info":"↹⩛105010322⪇≇⋚↹⩛-225432=↹⩛0","layer":2},{"info":"↹⩛35523⊭∹↮=↹⩛115450","layer":3},{"info":"⩪∧⨌↹⩛115450=↹⩛2114020","layer":2},{"info":"↹⩛0⋭≵↹⩛2114020=↹⩛54","layer":1},{"info":"↹⩛13543345⋥⋵⩄↹⩛54=↹⩛305","layer":0}]} +{"id":542,"expression_no_base_symbol":"((⊄⩳↩$1858$)⫠↝⫳)≁↽≥(($6443$⩤)↢($1865$∣$2615$))⨑⩅≇((($3654$⪬∳)⪪($1977$⇚⪠))∋($3526$≝⊿$3666$⨸⪁$1405$⊋$5138$))","expression":"((⊄⩳↩↹⩛12334)⫠↝⫳)≁↽≥((↹⩛45455⩤)↢(↹⩛12345∣↹⩛20035))⨑⩅≇(((↹⩛24530⪬∳)⪪(↹⩛13053⇚⪠))∋(↹⩛24154≝⊿↹⩛24550⨸⪁↹⩛10301⊋↹⩛35442))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":60071,"operation_count":14,"complexity_ratio":4290.785714285715,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1858,"base":6}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6443,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1865,"base":6},"right_expr":{"type":"numeric_atoms","value":2615,"base":6}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":3654,"base":6}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1977,"base":6}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3526,"base":6},"right_expr":{"type":"numeric_atoms","value":3666,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1405,"base":6},"right_expr":{"type":"numeric_atoms","value":5138,"base":6}}}}},"used_operators":["h92wMvzauj","ncHt1X6cMc","8n5YIzOsVS","8w2t5hMYqp","WR6HLWljOP","Z2TMIBDE3Q","PPChnnnBFF","ukq6epAj5P","xD69zh8xqp","O9U3z1385E","Loh9y4A90B","g55IO6H4Gj","OKKcZfAt5B","W4tP9CfskL"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","FU0Cs4j7VP","JclMnS0uGI","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","W4YGzv6Whe","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"↹⩛-2420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1858","layer":4},{"info":"compute unary expreesion, input=1858, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5574","layer":3},{"info":"compute unary expreesion, input=-5574, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-177745","layer":2},{"info":"number node, value=6443","layer":4},{"info":"compute unary expreesion, input=6443, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6443","layer":3},{"info":"number node, value=1865","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=2615, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1865","layer":3},{"info":"compute binary expreesion, left_input=-6443, right_input=1865, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-9156","layer":2},{"info":"compute binary expreesion, left_input=-177745, right_input=-9156, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"number node, value=3654","layer":4},{"info":"compute unary expreesion, input=3654, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=1977","layer":4},{"info":"compute unary expreesion, input=1977, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=7817058","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=7817058, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=3526","layer":4},{"info":"number node, value=3666","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=3666, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11391","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=5138","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=5138, 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=-149459240","layer":3},{"info":"compute binary expreesion, left_input=-11391, right_input=-149459240, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-298941262","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=-298941262, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-29800","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=-29800, 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=-588","layer":0}],"base":6,"result_base":6,"text":"((⊄⩳↩↹⩛12334)⫠↝⫳)≁↽≥((↹⩛45455⩤)↢(↹⩛12345∣↹⩛20035))⨑⩅≇(((↹⩛24530⪬∳)⪪(↹⩛13053⇚⪠))∋(↹⩛24154≝⊿↹⩛24550⨸⪁↹⩛10301⊋↹⩛35442))=↹⩛-2420","reverse_text":"↹⩛-2420=((⊄⩳↩↹⩛12334)⫠↝⫳)≁↽≥((↹⩛45455⩤)↢(↹⩛12345∣↹⩛20035))⨑⩅≇(((↹⩛24530⪬∳)⪪(↹⩛13053⇚⪠))∋(↹⩛24154≝⊿↹⩛24550⨸⪁↹⩛10301⊋↹⩛35442))","cot":[{"info":"⊄⩳↩↹⩛12334=↹⩛-41450","layer":3},{"info":"↹⩛-41450⫠↝⫳=↹⩛-3450521","layer":2},{"info":"↹⩛45455⩤=↹⩛-45455","layer":3},{"info":"↹⩛12345∣↹⩛20035=↹⩛12345","layer":3},{"info":"↹⩛-45455↢↹⩛12345=↹⩛-110220","layer":2},{"info":"↹⩛-3450521≁↽≥↹⩛-110220=↹⩛524","layer":1},{"info":"↹⩛24530⪬∳=↹⩛-3141","layer":3},{"info":"↹⩛13053⇚⪠=↹⩛435314030","layer":3},{"info":"↹⩛-3141⪪↹⩛435314030=↹⩛-44422","layer":2},{"info":"↹⩛24154≝⊿↹⩛24550=↹⩛-124423","layer":3},{"info":"↹⩛10301⊋↹⩛35442=↹⩛-22455232532","layer":3},{"info":"↹⩛-124423⨸⪁↹⩛-22455232532=↹⩛-45355203154","layer":2},{"info":"↹⩛-44422∋↹⩛-45355203154=↹⩛-345544","layer":1},{"info":"↹⩛524⨑⩅≇↹⩛-345544=↹⩛-2420","layer":0}]} +{"id":543,"expression_no_base_symbol":"⊽(($5034$↬$7883$)≌(≱⇩⩕$4743$)∝($1005$↬$2731$)⩦(⇺⋃$6376$))","expression":"⊽((↹⩛35150↬↹⩛100255)≌(≱⇩⩕↹⩛33543)∝(↹⩛4353↬↹⩛20351)⩦(⇺⋃↹⩛45304))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13805,"operation_count":8,"complexity_ratio":1725.625,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5034,"base":6},"right_expr":{"type":"numeric_atoms","value":7883,"base":6}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":4743,"base":6}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1005,"base":6},"right_expr":{"type":"numeric_atoms","value":2731,"base":6}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6376,"base":6}}}}},"used_operators":["QxG7OkqoLX","cTDWOvIxvz","lyWz822IDG","B5M0gjZbta","3DZMoQKiUl","0kmYd0q39Y","E5v5B3UAjG"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","7j4O788W3g","W4YGzv6Whe","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rGHVDoGpnC","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5034","layer":4},{"info":"number node, value=7883","layer":4},{"info":"compute binary expreesion, left_input=5034, right_input=7883, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4743","layer":4},{"info":"compute unary expreesion, input=4743, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9544","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2731, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6376","layer":4},{"info":"compute unary expreesion, input=6376, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9544, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊽((↹⩛35150↬↹⩛100255)≌(≱⇩⩕↹⩛33543)∝(↹⩛4353↬↹⩛20351)⩦(⇺⋃↹⩛45304))=NaN","reverse_text":"NaN=⊽((↹⩛35150↬↹⩛100255)≌(≱⇩⩕↹⩛33543)∝(↹⩛4353↬↹⩛20351)⩦(⇺⋃↹⩛45304))","cot":[{"info":"↹⩛35150↬↹⩛100255=NaN","layer":3},{"info":"≱⇩⩕↹⩛33543=↹⩛305","layer":3},{"info":"NaN≌↹⩛305=↹⩛112104","layer":2},{"info":"↹⩛4353↬↹⩛20351=NaN","layer":3},{"info":"⇺⋃↹⩛45304=NaN","layer":3},{"info":"NaN⩦NaN=NaN","layer":2},{"info":"↹⩛112104∝NaN=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]} +{"id":544,"expression_no_base_symbol":"(($1524$⩨$1406$)⇄(⇘$2132$))⊋(↽≂$2823$)+⪬∐$5535$⇤$5333$⊉≛↸($1373$+⇶⊼$3077$≬⋮($3961$∙∹∝$3691$)/($4098$⋓$2024$)⫯⪬∳($5918$≒∊$6029$))","expression":"((↹⩛11020⩨↹⩛10302)⇄(⇘↹⩛13512))⊋(↽≂↹⩛21023)+⪬∐↹⩛41343⇤↹⩛40405⊉≛↸(↹⩛10205+⇶⊼↹⩛22125≬⋮(↹⩛30201∙∹∝↹⩛25031)/(↹⩛30550⋓↹⩛13212)⫯⪬∳(↹⩛43222≒∊↹⩛43525))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":71855,"operation_count":15,"complexity_ratio":4790.333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1524,"base":6},"right_expr":{"type":"numeric_atoms","value":1406,"base":6}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2132,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2823,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":5535,"base":6},"right_expr":{"type":"numeric_atoms","value":5333,"base":6}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1373,"base":6},"right_expr":{"type":"numeric_atoms","value":3077,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3961,"base":6},"right_expr":{"type":"numeric_atoms","value":3691,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4098,"base":6},"right_expr":{"type":"numeric_atoms","value":2024,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5918,"base":6},"right_expr":{"type":"numeric_atoms","value":6029,"base":6}}}}},"used_operators":["DZ8iAZOCBD","W4tP9CfskL","3EYGwJThht","2DlMacCsIx","MGuIdZPyUC","2GS7woTJqF","u6S6b8DprG","YSKBFp38Pu","XhwjNDsVaA","kbkesczE7y","TpPTUOHfaN","HmxsFra2vL","d7ASUq0ydm","T2fj7uvVaJ","5KTvxBwnZo"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1406, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=122302","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=122302, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-121818","layer":2},{"info":"number node, value=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5646","layer":3},{"info":"number node, value=5535","layer":4},{"info":"number node, value=5333","layer":4},{"info":"compute binary expreesion, left_input=5535, right_input=5333, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-51492","layer":3},{"info":"compute binary expreesion, left_input=-5646, right_input=-51492, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=16938","layer":2},{"info":"compute binary expreesion, left_input=-121818, right_input=16938, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-inf","layer":1},{"info":"number node, value=1373","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=3077, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3961","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=3691, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=4098","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=2024, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=5918","layer":4},{"info":"number node, value=6029","layer":4},{"info":"compute binary expreesion, left_input=5918, right_input=6029, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5434","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5434, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-473, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-2, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11020⩨↹⩛10302)⇄(⇘↹⩛13512))⊋(↽≂↹⩛21023)+⪬∐↹⩛41343⇤↹⩛40405⊉≛↸(↹⩛10205+⇶⊼↹⩛22125≬⋮(↹⩛30201∙∹∝↹⩛25031)/(↹⩛30550⋓↹⩛13212)⫯⪬∳(↹⩛43222≒∊↹⩛43525))=NaN","reverse_text":"NaN=((↹⩛11020⩨↹⩛10302)⇄(⇘↹⩛13512))⊋(↽≂↹⩛21023)+⪬∐↹⩛41343⇤↹⩛40405⊉≛↸(↹⩛10205+⇶⊼↹⩛22125≬⋮(↹⩛30201∙∹∝↹⩛25031)/(↹⩛30550⋓↹⩛13212)⫯⪬∳(↹⩛43222≒∊↹⩛43525))","cot":[{"info":"↹⩛11020⩨↹⩛10302=↹⩛0","layer":3},{"info":"⇘↹⩛13512=↹⩛2342114","layer":3},{"info":"↹⩛0⇄↹⩛2342114=↹⩛-2335550","layer":2},{"info":"↽≂↹⩛21023=↹⩛-42050","layer":3},{"info":"↹⩛41343⇤↹⩛40405=↹⩛-1034220","layer":3},{"info":"↹⩛-42050+⪬∐↹⩛-1034220=↹⩛210230","layer":2},{"info":"↹⩛-2335550⊋↹⩛210230=-Inf","layer":1},{"info":"↹⩛10205+⇶⊼↹⩛22125=NaN","layer":3},{"info":"↹⩛30201∙∹∝↹⩛25031=↹⩛0","layer":3},{"info":"NaN≬⋮↹⩛0=↹⩛4004","layer":2},{"info":"↹⩛30550⋓↹⩛13212=↹⩛0","layer":3},{"info":"↹⩛43222≒∊↹⩛43525=↹⩛-41054","layer":3},{"info":"↹⩛0⫯⪬∳↹⩛-41054=↹⩛-2105","layer":2},{"info":"↹⩛4004/↹⩛-2105=↹⩛-2","layer":1},{"info":"-Inf⊉≛↸↹⩛-2=NaN","layer":0}]} +{"id":545,"expression_no_base_symbol":"($1070$∠↢$1381$⨒(⇵⪽$7051$))≎⊠⪸($7145$⫃⨇$4188$⫦⪉$1010$⇮⋭$2127$)⋭≵(≱⇩⩕(⋠∜$6773$∘$8224$))","expression":"(↹⩛4542∠↢↹⩛10221⨒(⇵⪽↹⩛52351))≎⊠⪸(↹⩛53025⫃⨇↹⩛31220⫦⪉↹⩛4402⇮⋭↹⩛13503)⋭≵(≱⇩⩕(⋠∜↹⩛51205∘↹⩛102024))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":212,"operation_count":11,"complexity_ratio":19.272727272727273,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1070,"base":6},"right_expr":{"type":"numeric_atoms","value":1381,"base":6}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":7051,"base":6}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7145,"base":6},"right_expr":{"type":"numeric_atoms","value":4188,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1010,"base":6},"right_expr":{"type":"numeric_atoms","value":2127,"base":6}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6773,"base":6},"right_expr":{"type":"numeric_atoms","value":8224,"base":6}}}}},"used_operators":["jBncVCNhdl","bJkvcejdHO","y75s1iXyHd","KbjG8mgYpV","ZGCBLdVRRX","wscyQdcy20","09Ly4LVMIf","vkpjKywKVM","3DZMoQKiUl","ZJpFhNJr3x","Z5m6OM72h2"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1381, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-22532","layer":3},{"info":"number node, value=7051","layer":4},{"info":"compute unary expreesion, input=7051, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22532, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"number node, value=7145","layer":4},{"info":"number node, value=4188","layer":4},{"info":"compute binary expreesion, left_input=7145, right_input=4188, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16784","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2127, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-16784, right_input=-473, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=37406","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37406, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=6773","layer":4},{"info":"number node, value=8224","layer":4},{"info":"compute binary expreesion, left_input=6773, right_input=8224, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=13546","layer":3},{"info":"compute unary expreesion, input=13546, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=56468","layer":2},{"info":"compute unary expreesion, input=56468, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, 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":6,"result_base":6,"text":"(↹⩛4542∠↢↹⩛10221⨒(⇵⪽↹⩛52351))≎⊠⪸(↹⩛53025⫃⨇↹⩛31220⫦⪉↹⩛4402⇮⋭↹⩛13503)⋭≵(≱⇩⩕(⋠∜↹⩛51205∘↹⩛102024))=↹⩛151","reverse_text":"↹⩛151=(↹⩛4542∠↢↹⩛10221⨒(⇵⪽↹⩛52351))≎⊠⪸(↹⩛53025⫃⨇↹⩛31220⫦⪉↹⩛4402⇮⋭↹⩛13503)⋭≵(≱⇩⩕(⋠∜↹⩛51205∘↹⩛102024))","cot":[{"info":"↹⩛4542∠↢↹⩛10221=↹⩛-252152","layer":3},{"info":"⇵⪽↹⩛52351=NaN","layer":3},{"info":"↹⩛-252152⨒NaN=NaN","layer":2},{"info":"↹⩛53025⫃⨇↹⩛31220=↹⩛-205412","layer":3},{"info":"↹⩛4402⇮⋭↹⩛13503=↹⩛-2105","layer":3},{"info":"↹⩛-205412⫦⪉↹⩛-2105=↹⩛445102","layer":2},{"info":"NaN≎⊠⪸↹⩛445102=NaN","layer":1},{"info":"↹⩛51205∘↹⩛102024=↹⩛142414","layer":3},{"info":"⋠∜↹⩛142414=↹⩛1113232","layer":2},{"info":"≱⇩⩕↹⩛1113232=↹⩛305","layer":1},{"info":"NaN⋭≵↹⩛305=↹⩛151","layer":0}]} +{"id":546,"expression_no_base_symbol":"($2861$⋐⇩⊬)⪃⊛⇣($1690$∕⩚$1824$)⩣⫁∢($2497$⪚$1719$)⩖⊿(≋$1478$)∣($3430$∺≝⩲$3263$≠≀($1627$⫑%∭)⪛⫼($1115$⊢$3996$)≎⪠($1349$⊋$2865$))","expression":"(↹⩛21125⋐⇩⊬)⪃⊛⇣(↹⩛11454∕⩚↹⩛12240)⩣⫁∢(↹⩛15321⪚↹⩛11543)⩖⊿(≋↹⩛10502)∣(↹⩛23514∺≝⩲↹⩛23035≠≀(↹⩛11311⫑%∭)⪛⫼(↹⩛5055⊢↹⩛30300)≎⪠(↹⩛10125⊋↹⩛21133))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":25531,"operation_count":15,"complexity_ratio":1702.0666666666666,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2861,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1690,"base":6},"right_expr":{"type":"numeric_atoms","value":1824,"base":6}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2497,"base":6},"right_expr":{"type":"numeric_atoms","value":1719,"base":6}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1478,"base":6}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3430,"base":6},"right_expr":{"type":"numeric_atoms","value":3263,"base":6}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1627,"base":6}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1115,"base":6},"right_expr":{"type":"numeric_atoms","value":3996,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1349,"base":6},"right_expr":{"type":"numeric_atoms","value":2865,"base":6}}}}},"used_operators":["PPChnnnBFF","JDUIKTTSIa","rrgAzCduG9","JuuLT1NoCs","z9ffQ9n5Zr","RZ5CV9rWsJ","HrjLwUk87U","61wBmkZwlr","hyuBjUqXlG","IwW236VD4Y","KPf6cnQVty","xUx7qlDO4z","aNhz54LH3e","5twsqlHp2o","W4tP9CfskL"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","7j4O788W3g","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"↹⩛-14403","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2861","layer":3},{"info":"number node, value=1690","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=1824, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1693","layer":3},{"info":"compute binary expreesion, left_input=2861, right_input=-1693, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2497","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=1719, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1200","layer":3},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1478","layer":3},{"info":"compute binary expreesion, left_input=1200, right_input=1478, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6942","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=6942, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2307","layer":1},{"info":"number node, value=3430","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=3263, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-14","layer":2},{"info":"number node, value=1115","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=3996, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b��≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2474","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2865, 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=-32901652","layer":3},{"info":"compute binary expreesion, left_input=-2474, right_input=-32901652, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=-14, right_input=19558, 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=-2307, right_input=968, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-2307","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21125⋐⇩⊬)⪃⊛⇣(↹⩛11454∕⩚↹⩛12240)⩣⫁∢(↹⩛15321⪚↹⩛11543)⩖⊿(≋↹⩛10502)∣(↹⩛23514∺≝⩲↹⩛23035≠≀(↹⩛11311⫑%∭)⪛⫼(↹⩛5055⊢↹⩛30300)≎⪠(↹⩛10125⊋↹⩛21133))=↹⩛-14403","reverse_text":"↹⩛-14403=(↹⩛21125⋐⇩⊬)⪃⊛⇣(↹⩛11454∕⩚↹⩛12240)⩣⫁∢(↹⩛15321⪚↹⩛11543)⩖⊿(≋↹⩛10502)∣(↹⩛23514∺≝⩲↹⩛23035≠≀(↹⩛11311⫑%∭)⪛⫼(↹⩛5055⊢↹⩛30300)≎⪠(↹⩛10125⊋↹⩛21133))","cot":[{"info":"↹⩛21125⋐⇩⊬=↹⩛21125","layer":3},{"info":"↹⩛11454∕⩚↹⩛12240=↹⩛-11501","layer":3},{"info":"↹⩛21125⪃⊛⇣↹⩛-11501=↹⩛5414","layer":2},{"info":"↹⩛15321⪚↹⩛11543=↹⩛5320","layer":3},{"info":"≋↹⩛10502=↹⩛10502","layer":3},{"info":"↹⩛5320⩖⊿↹⩛10502=↹⩛52050","layer":2},{"info":"↹⩛5414⩣⫁∢↹⩛52050=↹⩛-14403","layer":1},{"info":"↹⩛23514∺≝⩲↹⩛23035=↹⩛424","layer":3},{"info":"↹⩛11311⫑%∭=NaN","layer":3},{"info":"↹⩛424≠≀NaN=↹⩛-22","layer":2},{"info":"↹⩛5055⊢↹⩛30300=↹⩛-15242","layer":3},{"info":"↹⩛10125⊋↹⩛21133=↹⩛-3133110244","layer":3},{"info":"↹⩛-15242≎⪠↹⩛-3133110244=↹⩛230314","layer":2},{"info":"↹⩛-22⪛⫼↹⩛230314=↹⩛4252","layer":1},{"info":"↹⩛-14403∣↹⩛4252=↹⩛-14403","layer":0}]} +{"id":547,"expression_no_base_symbol":"⨆≐≲(($4443$*$5758$)≌($2177$⊢$2072$)⇷(($7897$≋⫹)⩺⪪$6053$⪭$7496$))","expression":"⨆≐≲((↹⩛32323*↹⩛42354)≌(↹⩛14025⊢↹⩛13332)⇷((↹⩛100321≋⫹)⩺⪪↹⩛44005⪭↹⩛54412))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9567,"operation_count":8,"complexity_ratio":1195.875,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4443,"base":6},"right_expr":{"type":"numeric_atoms","value":5758,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2177,"base":6},"right_expr":{"type":"numeric_atoms","value":2072,"base":6}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7897,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6053,"base":6},"right_expr":{"type":"numeric_atoms","value":7496,"base":6}}}}},"used_operators":["Bi9z9uYZqW","mp7IySMOzn","lyWz822IDG","9HNa5Wba9A","5twsqlHp2o","uvdQJvN4PV","N41Kp7NANJ","j9kHMeSvPp"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN"],"result":"↹⩛-3340152","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4443","layer":4},{"info":"number node, value=5758","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=5758, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=25582794","layer":3},{"info":"number node, value=2177","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=2072, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4598","layer":3},{"info":"compute binary expreesion, left_input=25582794, right_input=-4598, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=7897","layer":4},{"info":"compute unary expreesion, input=7897, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-15794","layer":3},{"info":"number node, value=6053","layer":4},{"info":"number node, value=7496","layer":4},{"info":"compute binary expreesion, left_input=6053, right_input=7496, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-15794, right_input=5, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":6,"result_base":6,"text":"⨆≐≲((↹⩛32323*↹⩛42354)≌(↹⩛14025⊢↹⩛13332)⇷((↹⩛100321≋⫹)⩺⪪↹⩛44005⪭↹⩛54412))=↹⩛-3340152","reverse_text":"↹⩛-3340152=⨆≐≲((↹⩛32323*↹⩛42354)≌(↹⩛14025⊢↹⩛13332)⇷((↹⩛100321≋⫹)⩺⪪↹⩛44005⪭↹⩛54412))","cot":[{"info":"↹⩛32323*↹⩛42354=↹⩛2312154510","layer":3},{"info":"↹⩛14025⊢↹⩛13332=↹⩛-33142","layer":3},{"info":"↹⩛2312154510≌↹⩛-33142=NaN","layer":2},{"info":"↹⩛100321≋⫹=↹⩛-201042","layer":3},{"info":"↹⩛44005⪭↹⩛54412=↹⩛5","layer":3},{"info":"↹⩛-201042⩺⪪↹⩛5=↹⩛-12230","layer":2},{"info":"NaN⇷↹⩛-12230=NaN","layer":1},{"info":"⨆≐≲NaN=↹⩛-3340152","layer":0}]} +{"id":548,"expression_no_base_symbol":"(((≯$2063$)⫡⨏(⫎≠⋺$1021$))⫲≸⪮($1358$⨿$1638$↪⪝))⨼⩣(($7625$⨰$2532$)≎⪠($3177$⨥⫆$2163$)⊋≦⊧($4752$⨑≵⋬$1631$)∥⊢⊲$4928$⇡⇂$3965$)","expression":"(((≯↹⩛13315)⫡⨏(⫎≠⋺↹⩛4421))⫲≸⪮(↹⩛10142⨿↹⩛11330↪⪝))⨼⩣((↹⩛55145⨰↹⩛15420)≎⪠(↹⩛22413⨥⫆↹⩛14003)⊋≦⊧(↹⩛34000⨑≵⋬↹⩛11315)∥⊢⊲↹⩛34452⇡⇂↹⩛30205)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":42764,"operation_count":14,"complexity_ratio":3054.5714285714284,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2063,"base":6}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1021,"base":6}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1358,"base":6},"right_expr":{"type":"numeric_atoms","value":1638,"base":6}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7625,"base":6},"right_expr":{"type":"numeric_atoms","value":2532,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3177,"base":6},"right_expr":{"type":"numeric_atoms","value":2163,"base":6}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4752,"base":6},"right_expr":{"type":"numeric_atoms","value":1631,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4928,"base":6},"right_expr":{"type":"numeric_atoms","value":3965,"base":6}}}}},"used_operators":["JxwMv5le6e","P3lXMJvFrc","QMFrweE19q","keWfFq85dY","LYeZOJ0nQG","l07mrZUIn9","abYXlopdE0","oRDoc9rAEX","aNhz54LH3e","eewbuw0ToL","yXekIHxTD4","v1UQAVDJRr","XnXgA4xnOs","UMwdvZNt44"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","EBcxylXtPf","rGHVDoGpnC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=783","layer":2},{"info":"number node, value=1358","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=1638, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-19517058","layer":2},{"info":"compute binary expreesion, left_input=783, right_input=-19517058, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=783","layer":1},{"info":"number node, value=7625","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=7625, right_input=2532, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5103","layer":3},{"info":"number node, value=3177","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=2163, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4202","layer":3},{"info":"compute binary expreesion, left_input=5103, right_input=4202, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=4752","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=1631, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=13722","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=3965","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=3965, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13722, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=783, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((≯↹⩛13315)⫡⨏(⫎≠⋺↹⩛4421))⫲≸⪮(↹⩛10142⨿↹⩛11330↪⪝))⨼⩣((↹⩛55145⨰↹⩛15420)≎⪠(↹⩛22413⨥⫆↹⩛14003)⊋≦⊧(↹⩛34000⨑≵⋬↹⩛11315)∥⊢⊲↹⩛34452⇡⇂↹⩛30205)=NaN","reverse_text":"NaN=(((≯↹⩛13315)⫡⨏(⫎≠⋺↹⩛4421))⫲≸⪮(↹⩛10142⨿↹⩛11330↪⪝))⨼⩣((↹⩛55145⨰↹⩛15420)≎⪠(↹⩛22413⨥⫆↹⩛14003)⊋≦⊧(↹⩛34000⨑≵⋬↹⩛11315)∥⊢⊲↹⩛34452⇡⇂↹⩛30205)","cot":[{"info":"≯↹⩛13315=↹⩛0","layer":3},{"info":"⫎≠⋺↹⩛4421=↹⩛0","layer":3},{"info":"↹⩛0⫡⨏↹⩛0=↹⩛3343","layer":2},{"info":"↹⩛10142⨿↹⩛11330=↹⩛-1251","layer":3},{"info":"↹⩛-1251↪⪝=↹⩛-1534152430","layer":2},{"info":"↹⩛3343⫲≸⪮↹⩛-1534152430=↹⩛3343","layer":1},{"info":"↹⩛55145⨰↹⩛15420=↹⩛35343","layer":3},{"info":"↹⩛22413⨥⫆↹⩛14003=↹⩛31242","layer":3},{"info":"↹⩛35343≎⪠↹⩛31242=↹⩛230314","layer":2},{"info":"��⩛34000⨑≵⋬↹⩛11315=↹⩛143310","layer":3},{"info":"↹⩛34452⇡⇂↹⩛30205=NaN","layer":3},{"info":"↹⩛143310∥⊢⊲NaN=NaN","layer":2},{"info":"↹⩛230314⊋≦⊧NaN=NaN","layer":1},{"info":"↹⩛3343⨼⩣NaN=NaN","layer":0}]} +{"id":549,"expression_no_base_symbol":"⨈⪑(($1249$⫍⨯↯)↸$1148$⩖⊿$4624$)⨽∌($3523$⪨⊡$4509$)⇂≾⫗($1298$∇⊂⋱$1976$)","expression":"⨈⪑((↹⩛5441⫍⨯↯)↸↹⩛5152⩖⊿↹⩛33224)⨽∌(↹⩛24151⪨⊡↹⩛32513)⇂≾⫗(↹⩛10002∇⊂⋱↹⩛13052)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1494,"operation_count":8,"complexity_ratio":186.75,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1249,"base":6}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1148,"base":6},"right_expr":{"type":"numeric_atoms","value":4624,"base":6}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3523,"base":6},"right_expr":{"type":"numeric_atoms","value":4509,"base":6}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1298,"base":6},"right_expr":{"type":"numeric_atoms","value":1976,"base":6}}}}},"used_operators":["mp94q5OcYM","9samAPKr6k","1eCjFl0mb9","ZcwmYACASQ","RZ5CV9rWsJ","aBQ6xLxuTc","kuIXHzHcAH","nhYeJWJD5X"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1216","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=4624, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=32318","layer":3},{"info":"compute binary expreesion, left_input=1216, right_input=32318, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1216","layer":2},{"info":"number node, value=3523","layer":4},{"info":"number node, value=4509","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=4509, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1976, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2050","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2050, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=1216, right_input=-676, 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 = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"⨈⪑((↹⩛5441⫍⨯↯)↸↹⩛5152⩖⊿↹⩛33224)⨽∌(↹⩛24151⪨⊡↹⩛32513)⇂≾⫗(↹⩛10002∇⊂⋱↹⩛13052)=↹⩛4004","reverse_text":"↹⩛4004=⨈⪑((↹⩛5441⫍⨯↯)↸↹⩛5152⩖⊿↹⩛33224)⨽∌(↹⩛24151⪨⊡↹⩛32513)⇂≾⫗(↹⩛10002∇⊂⋱↹⩛13052)","cot":[{"info":"↹⩛5441⫍⨯↯=↹⩛5344","layer":3},{"info":"↹⩛5152⩖⊿↹⩛33224=↹⩛405342","layer":3},{"info":"↹⩛5344↸↹⩛405342=↹⩛5344","layer":2},{"info":"↹⩛24151⪨⊡↹⩛32513=↹⩛0","layer":3},{"info":"↹⩛10002∇⊂⋱↹⩛13052=↹⩛13254","layer":3},{"info":"↹⩛0⇂≾⫗↹⩛13254=↹⩛-3044","layer":2},{"info":"↹⩛5344⨽∌↹⩛-3044=↹⩛0","layer":1},{"info":"⨈⪑↹⩛0=↹⩛4004","layer":0}]} +{"id":550,"expression_no_base_symbol":"(($2909$∷$6064$)⫣⪄⊒(⊤⊝$8316$)⪛($1434$∌$8003$)⫗⊷⫓($3860$⨥⫆$3944$))∺≝⩲(∐⩳⋚($1104$∌↝$1263$≃$2994$∥⊢⊲$1035$))","expression":"((↹⩛21245∷↹⩛44024)⫣⪄⊒(⊤⊝↹⩛102300)⪛(↹⩛10350∌↹⩛101015)⫗⊷⫓(↹⩛25512⨥⫆↹⩛30132))∺≝⩲(∐⩳⋚(↹⩛5040∌↝↹⩛5503≃↹⩛21510∥⊢⊲↹⩛4443))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":88271,"operation_count":12,"complexity_ratio":7355.916666666667,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2909,"base":6},"right_expr":{"type":"numeric_atoms","value":6064,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":8316,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1434,"base":6},"right_expr":{"type":"numeric_atoms","value":8003,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3860,"base":6},"right_expr":{"type":"numeric_atoms","value":3944,"base":6}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1104,"base":6},"right_expr":{"type":"numeric_atoms","value":1263,"base":6}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2994,"base":6},"right_expr":{"type":"numeric_atoms","value":1035,"base":6}}}}},"used_operators":["KPf6cnQVty","uFcxV4UQCh","RabNbG55vr","D3AQDKkPcf","rXAclfmB4M","zashukvMKz","8cLx32lpNA","yXekIHxTD4","SL6IHkK8vl","YbVcJGFEVW","9Isq31Ruls","v1UQAVDJRr"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2909","layer":4},{"info":"number node, value=6064","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=6064, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6064","layer":3},{"info":"number node, value=8316","layer":4},{"info":"compute unary expreesion, input=8316, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=15334","layer":3},{"info":"compute binary expreesion, left_input=6064, right_input=15334, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-80388","layer":2},{"info":"number node, value=1434","layer":4},{"info":"number node, value=8003","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=8003, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8003","layer":3},{"info":"number node, value=3860","layer":4},{"info":"number node, value=3944","layer":4},{"info":"compute binary expreesion, left_input=3860, right_input=3944, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7764","layer":3},{"info":"compute binary expreesion, left_input=-8003, right_input=7764, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-80388, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-122","layer":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1263, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2994","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=1035, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-122, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21245∷↹⩛44024)⫣⪄⊒(⊤⊝↹⩛102300)⪛(↹⩛10350∌↹⩛101015)⫗⊷⫓(↹⩛25512⨥⫆↹⩛30132))∺≝⩲(∐⩳⋚(↹⩛5040∌↝↹⩛5503≃↹⩛21510∥⊢⊲↹⩛4443))=↹⩛424","reverse_text":"↹⩛424=((↹⩛21245∷↹⩛44024)⫣⪄⊒(⊤⊝↹⩛102300)⪛(↹⩛10350∌↹⩛101015)⫗⊷⫓(↹⩛25512⨥⫆↹⩛30132))∺≝⩲(∐⩳⋚(↹⩛5040∌↝↹⩛5503≃↹⩛21510∥⊢⊲↹⩛4443))","cot":[{"info":"↹⩛21245∷↹⩛44024=↹⩛44024","layer":3},{"info":"⊤⊝↹⩛102300=↹⩛154554","layer":3},{"info":"↹⩛44024⫣⪄⊒↹⩛154554=↹⩛-1420100","layer":2},{"info":"↹⩛10350∌↹⩛101015=↹⩛-101015","layer":3},{"info":"↹⩛25512⨥⫆↹⩛30132=↹⩛55540","layer":3},{"info":"↹⩛-101015⫗⊷⫓↹⩛55540=↹⩛-342","layer":2},{"info":"↹⩛-1420100⪛↹⩛-342=↹⩛-322","layer":1},{"info":"↹⩛5040∌↝↹⩛5503=↹⩛0","layer":3},{"info":"↹⩛21510∥⊢⊲↹⩛4443=NaN","layer":3},{"info":"↹⩛0≃NaN=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"↹⩛-322∺≝⩲NaN=↹⩛424","layer":0}]} +{"id":551,"expression_no_base_symbol":"(((⋗⩴⪓$1043$)⫡⨏(⊀$1560$))⩁⩘(↪⫪⫘($1093$⫒⫫$1880$)))↯⫤","expression":"(((⋗⩴⪓↹⩛4455)⫡⨏(⊀↹⩛11120))⩁⩘(↪⫪⫘(↹⩛5021⫒⫫↹⩛12412)))↯⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1171,"operation_count":7,"complexity_ratio":167.28571428571428,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1043,"base":6}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1560,"base":6}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1093,"base":6},"right_expr":{"type":"numeric_atoms","value":1880,"base":6}}}}},"used_operators":["VwlE7vj6HS","gub5Cegaqo","QMFrweE19q","nOKPl9n5zu","oPMjh9089D","9dWsAM3GFt","6Ko8hGgeMq"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-130","layer":3},{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5978","layer":3},{"info":"compute binary expreesion, left_input=-130, right_input=5978, 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=12089","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1880, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12089, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((⋗⩴⪓↹⩛4455)⫡⨏(⊀↹⩛11120))⩁⩘(↪⫪⫘(↹⩛5021⫒⫫↹⩛12412)))↯⫤=NaN","reverse_text":"NaN=(((⋗⩴⪓↹⩛4455)⫡⨏(⊀↹⩛11120))⩁⩘(↪⫪⫘(↹⩛5021⫒⫫↹⩛12412)))↯⫤","cot":[{"info":"⋗⩴⪓↹⩛4455=↹⩛-334","layer":3},{"info":"⊀↹⩛11120=↹⩛43402","layer":3},{"info":"↹⩛-334⫡⨏↹⩛43402=↹⩛131545","layer":2},{"info":"↹⩛5021⫒⫫↹⩛12412=NaN","layer":3},{"info":"↪⫪⫘NaN=NaN","layer":2},{"info":"↹⩛131545⩁⩘NaN=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]} +{"id":552,"expression_no_base_symbol":"∑⇻≧($1858$↙$2282$)⊴(≇⪴$3477$)⪕($1198$⇍⊗$2705$)⩼⇪↪($4547$⨘⋶⪀)","expression":"∑⇻≧(↹⩛12334↙↹⩛14322)⊴(≇⪴↹⩛24033)⪕(↹⩛5314⇍⊗↹⩛20305)⩼⇪↪(↹⩛33015⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11534,"operation_count":8,"complexity_ratio":1441.75,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1858,"base":6},"right_expr":{"type":"numeric_atoms","value":2282,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3477,"base":6}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1198,"base":6},"right_expr":{"type":"numeric_atoms","value":2705,"base":6}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":4547,"base":6}}}}},"used_operators":["l1M9WJ3V7u","umQnsF7QlU","Nsiff2A1zJ","yyfyN0ffXY","zoVPnxeHJ3","ocnLzx9CaJ","5uvYHDjeKN","XVKwrhznBb"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"↹⩛-3540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1858","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=2282, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6846","layer":3},{"info":"number node, value=3477","layer":4},{"info":"compute unary expreesion, input=3477, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-9091","layer":3},{"info":"compute binary expreesion, left_input=-6846, right_input=-9091, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1198","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2705, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=4547","layer":4},{"info":"compute unary expreesion, input=4547, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute unary expreesion, input=935, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":6,"result_base":6,"text":"∑⇻≧(↹⩛12334↙↹⩛14322)⊴(≇⪴↹⩛24033)⪕(↹⩛5314⇍⊗↹⩛20305)⩼⇪↪(↹⩛33015⨘⋶⪀)=↹⩛-3540","reverse_text":"↹⩛-3540=∑⇻≧(↹⩛12334↙↹⩛14322)⊴(≇⪴↹⩛24033)⪕(↹⩛5314⇍⊗↹⩛20305)⩼⇪↪(↹⩛33015⨘⋶⪀)","cot":[{"info":"↹⩛12334↙↹⩛14322=↹⩛-51410","layer":3},{"info":"≇⪴↹⩛24033=↹⩛-110031","layer":3},{"info":"↹⩛-51410⊴↹⩛-110031=NaN","layer":2},{"info":"↹⩛5314⇍⊗↹⩛20305=↹⩛-1044","layer":3},{"info":"↹⩛33015⨘⋶⪀=NaN","layer":3},{"info":"��⩛-1044⩼⇪↪NaN=NaN","layer":2},{"info":"NaN⪕NaN=↹⩛4155","layer":1},{"info":"∑⇻≧↹⩛4155=↹⩛-3540","layer":0}]} +{"id":553,"expression_no_base_symbol":"(($6382$↓$4182$)⪝($3444$∳⫺$4967$)⨪↰⇹(+⊝⨔($4553$⊹∫⫚$3144$)))∥⊢⊲($1080$⨜⨶$1679$∼($1424$⋥≓≎$6749$)⊉≛↸($3907$⩷∴$2539$)⋥⋵⩄$1455$⪝$1976$)","expression":"((↹⩛45314↓↹⩛31210)⪝(↹⩛23540∳⫺↹⩛34555)⨪↰⇹(+⊝⨔(↹⩛33025⊹∫⫚↹⩛22320)))∥⊢⊲(↹⩛5000⨜⨶↹⩛11435∼(↹⩛10332⋥≓≎↹⩛51125)⊉≛↸(↹⩛30031⩷∴↹⩛15431)⋥⋵⩄↹⩛10423⪝↹⩛13052)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":60833,"operation_count":14,"complexity_ratio":4345.214285714285,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6382,"base":6},"right_expr":{"type":"numeric_atoms","value":4182,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3444,"base":6},"right_expr":{"type":"numeric_atoms","value":4967,"base":6}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4553,"base":6},"right_expr":{"type":"numeric_atoms","value":3144,"base":6}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1080,"base":6},"right_expr":{"type":"numeric_atoms","value":1679,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1424,"base":6},"right_expr":{"type":"numeric_atoms","value":6749,"base":6}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3907,"base":6},"right_expr":{"type":"numeric_atoms","value":2539,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1455,"base":6},"right_expr":{"type":"numeric_atoms","value":1976,"base":6}}}}},"used_operators":["v1UQAVDJRr","tmPS8pqC7x","wicAB68Tmb","Af076pWI7l","AzXXKTstlj","DhbWaqg5eL","uWAJUKEvyW","DZ8iAZOCBD","DyGG3AbaNP","HiPekx5b7W","Qy55tPpLXF","7t3wd0Fuz7","9FxExcQeMw"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6382","layer":4},{"info":"number node, value=4182","layer":4},{"info":"compute binary expreesion, left_input=6382, right_input=4182, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3444","layer":4},{"info":"number node, value=4967","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=4967, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-260, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-903","layer":2},{"info":"number node, value=4553","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=3144, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-96","layer":3},{"info":"compute unary expreesion, input=-96, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=-903, right_input=1522, 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=903","layer":1},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1679, 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=-3102","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=6749","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=6749, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12107","layer":3},{"info":"compute binary expreesion, left_input=-3102, right_input=12107, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3907","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=2539, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2704","layer":3},{"info":"number node, value=1455","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=1976, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=2704, right_input=237, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=903, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛45314↓↹⩛31210)⪝(↹⩛23540∳⫺↹⩛34555)⨪↰⇹(+⊝⨔(↹⩛33025⊹∫⫚↹⩛22320)))∥⊢⊲(↹⩛5000⨜⨶↹⩛11435∼(↹⩛10332⋥≓≎↹⩛51125)⊉≛↸(↹⩛30031⩷∴↹⩛15431)⋥⋵⩄↹⩛10423⪝↹⩛13052)=NaN","reverse_text":"NaN=((↹⩛45314↓↹⩛31210)⪝(↹⩛23540∳⫺↹⩛34555)⨪↰⇹(+⊝⨔(↹⩛33025⊹∫⫚↹⩛22320)))∥⊢⊲(↹⩛5000⨜⨶↹⩛11435∼(↹⩛10332⋥≓≎↹⩛51125)⊉≛↸(↹⩛30031⩷∴↹⩛15431)⋥⋵⩄↹⩛10423⪝↹⩛13052)","cot":[{"info":"↹⩛45314↓↹⩛31210=↹⩛-342","layer":3},{"info":"↹⩛23540∳⫺↹⩛34555=↹⩛-1112","layer":3},{"info":"↹⩛-342⪝↹⩛-1112=↹⩛-4103","layer":2},{"info":"↹⩛33025⊹∫⫚↹⩛22320=↹⩛-240","layer":3},{"info":"+⊝⨔↹⩛-240=↹⩛11014","layer":2},{"info":"↹⩛-4103⨪↰⇹↹⩛11014=↹⩛4103","layer":1},{"info":"↹⩛5000⨜⨶↹⩛11435=↹⩛-22210","layer":3},{"info":"↹⩛10332⋥≓≎↹⩛51125=↹⩛132015","layer":3},{"info":"↹⩛-22210∼↹⩛132015=NaN","layer":2},{"info":"↹⩛30031⩷∴↹⩛15431=↹⩛20304","layer":3},{"info":"↹⩛10423⪝↹⩛13052=↹⩛1033","layer":3},{"info":"↹⩛20304⋥⋵⩄↹⩛1033=↹⩛305","layer":2},{"info":"NaN⊉≛↸↹⩛305=NaN","layer":1},{"info":"↹⩛4103∥⊢⊲NaN=NaN","layer":0}]} +{"id":554,"expression_no_base_symbol":"(($6799$↳≱$1379$)⊧↖)≬⇓(($4780$⊪)∽$2331$↤⩊$3795$)∠⫱(↡$3012$)⫣⪄⊒($1283$⩘$1589$)⪔⊥(($4690$*$4378$)⫰⋱$1962$≹⇙⪍$1896$)","expression":"((↹⩛51251↳≱↹⩛10215)⊧↖)≬⇓((↹⩛34044⊪)∽↹⩛14443↤⩊↹⩛25323)∠⫱(↡↹⩛21540)⫣⪄⊒(↹⩛5535⩘↹⩛11205)⪔⊥((↹⩛33414*↹⩛32134)⫰⋱↹⩛13030≹⇙⪍↹⩛12440)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13698,"operation_count":14,"complexity_ratio":978.4285714285714,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6799,"base":6},"right_expr":{"type":"numeric_atoms","value":1379,"base":6}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4780,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2331,"base":6},"right_expr":{"type":"numeric_atoms","value":3795,"base":6}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3012,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1283,"base":6},"right_expr":{"type":"numeric_atoms","value":1589,"base":6}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4690,"base":6},"right_expr":{"type":"numeric_atoms","value":4378,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1962,"base":6},"right_expr":{"type":"numeric_atoms","value":1896,"base":6}}}}},"used_operators":["QvoQhV0rrE","jWTQ2TZYIH","EKiFHuOFxO","JwTKLfZU96","y4ImoPnbV5","zVYPLywUTj","13rbtpv6ld","HJ9erzHUuu","RabNbG55vr","MXaNJeIAZ3","cHh1gJQ2o6","6o9Blt3TJ6","9HNa5Wba9A","AHs5Up7iyr"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","QMFrweE19q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6799","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=6799, right_input=1379, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=-2872","layer":2},{"info":"number node, value=4780","layer":4},{"info":"compute unary expreesion, input=4780, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2331","layer":4},{"info":"number node, value=3795","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=3795, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2872, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=82817414","layer":1},{"info":"number node, value=3012","layer":4},{"info":"compute unary expreesion, input=3012, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=27108","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1589, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=27108, 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":2},{"info":"number node, value=4690","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=4690, right_input=4378, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20532820","layer":3},{"info":"number node, value=1962","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=1896, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20532820, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=82817414, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛51251↳≱↹⩛10215)⊧↖)≬⇓((↹⩛34044⊪)∽↹⩛14443↤⩊↹⩛25323)∠⫱(↡↹⩛21540)⫣⪄⊒(↹⩛5535⩘↹⩛11205)⪔⊥((↹⩛33414*↹⩛32134)⫰⋱↹⩛13030≹⇙⪍↹⩛12440)=NaN","reverse_text":"NaN=((↹⩛51251↳≱↹⩛10215)⊧↖)≬⇓((↹⩛34044⊪)∽↹⩛14443↤⩊↹⩛25323)∠⫱(↡↹⩛21540)⫣⪄⊒(↹⩛5535⩘↹⩛11205)⪔⊥((↹⩛33414*↹⩛32134)⫰⋱↹⩛13030≹⇙⪍↹⩛12440)","cot":[{"info":"↹⩛51251↳≱↹⩛10215=↹⩛0","layer":3},{"info":"↹⩛0⊧↖=↹⩛-21144","layer":2},{"info":"↹⩛34044⊪=↹⩛0","layer":3},{"info":"↹⩛14443↤⩊↹⩛25323=NaN","layer":3},{"info":"↹⩛0∽NaN=NaN","layer":2},{"info":"↹⩛-21144≬⇓NaN=↹⩛12115021542","layer":1},{"info":"↡↹⩛21540=↹⩛325300","layer":3},{"info":"↹⩛5535⩘↹⩛11205=↹⩛424","layer":3},{"info":"↹⩛325300⫣⪄⊒↹⩛424=↹⩛424","layer":2},{"info":"↹⩛33414*↹⩛32134=↹⩛2012031204","layer":3},{"info":"↹⩛13030≹⇙⪍↹⩛12440=NaN","layer":3},{"info":"↹⩛2012031204⫰⋱NaN=NaN","layer":2},{"info":"↹⩛424⪔⊥NaN=NaN","layer":1},{"info":"↹⩛12115021542∠⫱NaN=NaN","layer":0}]} +{"id":555,"expression_no_base_symbol":"($2440$⪔$3872$↱$3749$⋭≵$1118$%(⫛⫱⨽($2569$⫭)))⨳⩥⨓(⊖∈($6819$⪁$4149$)⨔⇊(⇺⋃$6176$))","expression":"(↹⩛15144⪔↹⩛25532↱↹⩛25205⋭≵↹⩛5102%(⫛⫱⨽(↹⩛15521⫭)))⨳⩥⨓(⊖∈(↹⩛51323⪁↹⩛31113)⨔⇊(⇺⋃↹⩛44332))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":258747776,"operation_count":11,"complexity_ratio":23522525.09090909,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2440,"base":6},"right_expr":{"type":"numeric_atoms","value":3872,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3749,"base":6},"right_expr":{"type":"numeric_atoms","value":1118,"base":6}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2569,"base":6}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6819,"base":6},"right_expr":{"type":"numeric_atoms","value":4149,"base":6}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6176,"base":6}}}}},"used_operators":["nCS4ZIUYfx","k8jYdgA6NY","SR5kFfdi6N","GjBEYRfMaF","jBncVCNhdl","DlLNRPXxWL","t4WUHVGj7f","YFxL8Sc2Zy","JclMnS0uGI","I7sXao9hZE","E5v5B3UAjG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rGHVDoGpnC","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2440","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=3872, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3749","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=1118, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=67, 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=16072","layer":2},{"info":"number node, value=2569","layer":4},{"info":"compute unary expreesion, input=2569, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=7948","layer":3},{"info":"compute unary expreesion, input=7948, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=16072, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6819","layer":4},{"info":"number node, value=4149","layer":4},{"info":"compute binary expreesion, left_input=6819, right_input=4149, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=6176","layer":4},{"info":"compute unary expreesion, input=6176, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15144⪔↹⩛25532↱↹⩛25205⋭≵↹⩛5102%(⫛⫱⨽(↹⩛15521⫭)))⨳⩥⨓(⊖∈(↹⩛51323⪁↹⩛31113)⨔⇊(⇺⋃↹⩛44332))=NaN","reverse_text":"NaN=(↹⩛15144⪔↹⩛25532↱↹⩛25205⋭≵↹⩛5102%(⫛⫱⨽(↹⩛15521⫭)))⨳⩥⨓(⊖∈(↹⩛51323⪁↹⩛31113)⨔⇊(⇺⋃↹⩛44332))","cot":[{"info":"↹⩛15144⪔↹⩛25532=↹⩛2030","layer":3},{"info":"↹⩛25205⋭≵↹⩛5102=↹⩛151","layer":3},{"info":"↹⩛2030↱↹⩛151=↹⩛202224","layer":2},{"info":"↹⩛15521⫭=↹⩛100444","layer":3},{"info":"⫛⫱⨽↹⩛100444=↹⩛0","layer":2},{"info":"↹⩛202224%↹⩛0=NaN","layer":1},{"info":"↹⩛51323⪁↹⩛31113=NaN","layer":3},{"info":"⇺⋃↹⩛44332=NaN","layer":3},{"info":"NaN⨔⇊NaN=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]} +{"id":556,"expression_no_base_symbol":"((⩷⨜⫀$2324$)⨽($2855$↺$7262$))⨔≚≋(⨣⨃⇪$5532$⪬$1169$)⪨⊡(⊖∈($1936$⇉⇉)∌↝($7127$⨚⇆$2477$))","expression":"((⩷⨜⫀↹⩛14432)⨽(↹⩛21115↺↹⩛53342))⨔≚≋(⨣⨃⇪↹⩛41340⪬↹⩛5225)⪨⊡(⊖∈(↹⩛12544⇉⇉)∌↝(↹⩛52555⨚⇆↹⩛15245))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":403448,"operation_count":11,"complexity_ratio":36677.09090909091,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2324,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2855,"base":6},"right_expr":{"type":"numeric_atoms","value":7262,"base":6}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5532,"base":6},"right_expr":{"type":"numeric_atoms","value":1169,"base":6}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1936,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7127,"base":6},"right_expr":{"type":"numeric_atoms","value":2477,"base":6}}}}},"used_operators":["kuIXHzHcAH","Z57zeUYC9z","8HhzD0ZcuI","CDi0ktkjQ4","7j4O788W3g","AcOhelriW5","Ez1Nq5fNfI","YFxL8Sc2Zy","9Isq31Ruls","diKm42VcIt","lwHaAYXP2r"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"compute unary expreesion, input=2324, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2051","layer":3},{"info":"number node, value=2855","layer":4},{"info":"number node, value=7262","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=7262, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7262","layer":3},{"info":"compute binary expreesion, left_input=-2051, right_input=7262, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12640275","layer":2},{"info":"number node, value=5532","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=1169, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=-12640275, right_input=1405, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=202230400","layer":1},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-116904","layer":3},{"info":"number node, value=7127","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=7127, right_input=2477, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-116904, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-116904","layer":2},{"info":"compute unary expreesion, input=-116904, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=202230400, right_input=inf, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⩷⨜⫀↹⩛14432)⨽(↹⩛21115↺↹⩛53342))⨔≚≋(⨣⨃⇪↹⩛41340⪬↹⩛5225)⪨⊡(⊖∈(↹⩛12544⇉⇉)∌↝(↹⩛52555⨚⇆↹⩛15245))=NaN","reverse_text":"NaN=((⩷⨜⫀↹⩛14432)⨽(↹⩛21115↺↹⩛53342))⨔≚≋(⨣⨃⇪↹⩛41340⪬↹⩛5225)⪨⊡(⊖∈(↹⩛12544⇉⇉)∌↝(↹⩛52555⨚⇆↹⩛15245))","cot":[{"info":"⩷⨜⫀↹⩛14432=↹⩛-13255","layer":3},{"info":"↹⩛21115↺↹⩛53342=↹⩛53342","layer":3},{"info":"↹⩛-13255⨽↹⩛53342=↹⩛-1130531443","layer":2},{"info":"↹⩛41340⪬↹⩛5225=↹⩛5414","layer":3},{"info":"⨣⨃⇪↹⩛5414=↹⩛10301","layer":2},{"info":"↹⩛-1130531443⨔≚≋↹⩛10301=↹⩛32022255504","layer":1},{"info":"↹⩛12544⇉⇉=↹⩛-2301120","layer":3},{"info":"↹⩛52555⨚⇆↹⩛15245=NaN","layer":3},{"info":"↹⩛-2301120∌↝NaN=↹⩛-2301120","layer":2},{"info":"⊖∈↹⩛-2301120=Inf","layer":1},{"info":"↹⩛32022255504⪨⊡Inf=NaN","layer":0}]} +{"id":557,"expression_no_base_symbol":"≘(⨣⨃⇪($1004$⪛$1078$⋷$2277$%$3119$))","expression":"≘(⨣⨃⇪(↹⩛4352⪛↹⩛4554⋷↹⩛14313%↹⩛22235))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":224,"operation_count":5,"complexity_ratio":44.8,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":1078,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2277,"base":6},"right_expr":{"type":"numeric_atoms","value":3119,"base":6}}}}},"used_operators":["tcjXMdvYtA","AcOhelriW5","23Mk6UjR3U","uFcxV4UQCh","k8jYdgA6NY"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"↹⩛150230201","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1078, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1004","layer":3},{"info":"number node, value=2277","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=3119, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2277","layer":3},{"info":"compute binary expreesion, left_input=1004, right_input=2277, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3550","layer":2},{"info":"compute unary expreesion, input=3550, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3098809","layer":0}],"base":6,"result_base":6,"text":"≘(⨣⨃⇪(↹⩛4352⪛↹⩛4554⋷↹⩛14313%↹⩛22235))=↹⩛150230201","reverse_text":"↹⩛150230201=≘(⨣⨃⇪(↹⩛4352⪛↹⩛4554⋷↹⩛14313%↹⩛22235))","cot":[{"info":"↹⩛4352⪛↹⩛4554=↹⩛4352","layer":3},{"info":"↹⩛14313%↹⩛22235=↹⩛14313","layer":3},{"info":"↹⩛4352⋷↹⩛14313=↹⩛24234","layer":2},{"info":"⨣⨃⇪↹⩛24234=↹⩛10301","layer":1},{"info":"≘↹⩛10301=↹⩛150230201","layer":0}]} +{"id":558,"expression_no_base_symbol":"($1656$⩧⪆$3233$⪬∳)≝⊿($1582$⇣⩺⋵$5792$⇣⩺⋵$4079$⪎↠$3109$)≃(↩$4859$⩁⩘$1723$)⨟⋌⩍(⩰$6749$⩺⪪$1204$)","expression":"(↹⩛11400⩧⪆↹⩛22545⪬∳)≝⊿(↹⩛11154⇣⩺⋵↹⩛42452⇣⩺⋵↹⩛30515⪎↠↹⩛22221)≃(↩↹⩛34255⩁⩘↹⩛11551)⨟⋌⩍(⩰↹⩛51125⩺⪪↹⩛5324)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10122,"operation_count":12,"complexity_ratio":843.5,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1656,"base":6},"right_expr":{"type":"numeric_atoms","value":3233,"base":6}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1582,"base":6},"right_expr":{"type":"numeric_atoms","value":5792,"base":6}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4079,"base":6},"right_expr":{"type":"numeric_atoms","value":3109,"base":6}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4859,"base":6},"right_expr":{"type":"numeric_atoms","value":1723,"base":6}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6749,"base":6},"right_expr":{"type":"numeric_atoms","value":1204,"base":6}}}}},"used_operators":["YbVcJGFEVW","OKKcZfAt5B","O9U3z1385E","Ikt5ks8PT7","F4yD0voBRQ","3tVxb0NHM4","rGHVDoGpnC","jLgFTUHLKL","gub5Cegaqo","WkeUrDK8WX","uvdQJvN4PV"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","12rbrZMWeM","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"↹⩛153","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=3233, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3233","layer":3},{"info":"compute unary expreesion, input=-3233, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=1582","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=5792, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-5194","layer":3},{"info":"number node, value=4079","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=4079, right_input=3109, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5194, right_input=160, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-21034","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=-21034, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=42244","layer":1},{"info":"number node, value=4859","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=4859, right_input=1723, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7840","layer":3},{"info":"compute unary expreesion, input=7840, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-59940","layer":2},{"info":"number node, value=6749","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=6749, right_input=1204, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-89618","layer":3},{"info":"compute unary expreesion, input=-89618, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=178236","layer":2},{"info":"compute binary expreesion, left_input=-59940, right_input=178236, 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=42244, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11400⩧⪆↹⩛22545⪬∳)≝⊿(↹⩛11154⇣⩺⋵↹⩛42452⇣⩺⋵↹⩛30515⪎↠↹⩛22221)≃(↩↹⩛34255⩁⩘↹⩛11551)⨟⋌⩍(⩰↹⩛51125⩺⪪↹⩛5324)=↹⩛153","reverse_text":"↹⩛153=(↹⩛11400⩧⪆↹⩛22545⪬∳)≝⊿(↹⩛11154⇣⩺⋵↹⩛42452⇣⩺⋵↹⩛30515⪎↠↹⩛22221)≃(↩↹⩛34255⩁⩘↹⩛11551)⨟⋌⩍(⩰↹⩛51125⩺⪪↹⩛5324)","cot":[{"info":"↹⩛11400⩧⪆↹⩛22545=↹⩛-22545","layer":3},{"info":"↹⩛-22545⪬∳=↹⩛-3141","layer":2},{"info":"↹⩛11154⇣⩺⋵↹⩛42452=↹⩛-40014","layer":3},{"info":"↹⩛30515⪎↠↹⩛22221=↹⩛424","layer":3},{"info":"↹⩛-40014⇣⩺⋵↹⩛424=↹⩛-241214","layer":2},{"info":"↹⩛-3141≝⊿↹⩛-241214=↹⩛523324","layer":1},{"info":"↹⩛34255⩁⩘↹⩛11551=↹⩛100144","layer":3},{"info":"↩↹⩛100144=↹⩛-1141300","layer":2},{"info":"↹⩛51125⩺⪪↹⩛5324=↹⩛-1530522","layer":3},{"info":"⩰↹⩛-1530522=↹⩛3453100","layer":2},{"info":"↹⩛-1141300⨟⋌⩍↹⩛3453100=NaN","layer":1},{"info":"↹⩛523324≃NaN=↹⩛153","layer":0}]} +{"id":559,"expression_no_base_symbol":"((⋗⩬⋾$1238$)↤⩊(⊢≑≆$1811$)⪬∳)⩅⪻⪻","expression":"((⋗⩬⋾↹⩛5422)↤⩊(⊢≑≆↹⩛12215)⪬∳)⩅⪻⪻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":315,"operation_count":5,"complexity_ratio":63.0,"tree":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1238,"base":6}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1811,"base":6}}}}},"used_operators":["kHoXpA7yos","O9U3z1385E","13rbtpv6ld","DpFCA1CohY","27wFxooxGf"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3714","layer":3},{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7696","layer":3},{"info":"compute binary expreesion, left_input=-3714, right_input=7696, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":0}],"base":6,"result_base":6,"text":"((⋗⩬⋾↹⩛5422)↤⩊(⊢≑≆↹⩛12215)⪬∳)⩅⪻⪻=↹⩛30231","reverse_text":"↹⩛30231=((⋗⩬⋾↹⩛5422)↤⩊(⊢≑≆↹⩛12215)⪬∳)⩅⪻⪻","cot":[{"info":"⋗⩬⋾↹⩛5422=↹⩛-25110","layer":3},{"info":"⊢≑≆↹⩛12215=↹⩛55344","layer":3},{"info":"↹⩛-25110↤⩊↹⩛55344=NaN","layer":2},{"info":"NaN⪬∳=NaN","layer":1},{"info":"NaN⩅⪻⪻=↹⩛30231","layer":0}]} +{"id":560,"expression_no_base_symbol":"(⇐($1291$⊔$3798$⨔≚≋$5780$∺≝⩲$1373$))∇⊂⋱(($1371$∠↢$2574$)≨($7670$⫔⩽⩺$2965$))⫁(↘$1270$⫣⪄⊒$1641$)","expression":"(⇐(↹⩛5551⊔↹⩛25330⨔≚≋↹⩛42432∺≝⩲↹⩛10205))∇⊂⋱((↹⩛10203∠↢↹⩛15530)≨(↹⩛55302⫔⩽⩺↹⩛21421))⫁(↘↹⩛5514⫣⪄⊒↹⩛11333)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":243666,"operation_count":11,"complexity_ratio":22151.454545454544,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1291,"base":6},"right_expr":{"type":"numeric_atoms","value":3798,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5780,"base":6},"right_expr":{"type":"numeric_atoms","value":1373,"base":6}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1371,"base":6},"right_expr":{"type":"numeric_atoms","value":2574,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7670,"base":6},"right_expr":{"type":"numeric_atoms","value":2965,"base":6}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1270,"base":6},"right_expr":{"type":"numeric_atoms","value":1641,"base":6}}}}},"used_operators":["nhYeJWJD5X","nmZMaaE0Q9","Z57zeUYC9z","E4l6HwMY31","KPf6cnQVty","0ajvFaJAv0","0KMCeP1Jsh","KbjG8mgYpV","i9eR4S00cU","LdNpr8hQHL","RabNbG55vr"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","cHh1gJQ2o6","AHs5Up7iyr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tw270M8GLb","fu6greOZ01","uFcxV4UQCh","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"↹⩛211150","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1291","layer":4},{"info":"number node, value=3798","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=3798, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=19172","layer":3},{"info":"number node, value=5780","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=5780, right_input=1373, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=19172, right_input=160, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=8838","layer":1},{"info":"number node, value=1371","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=2574, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-40438","layer":3},{"info":"number node, value=7670","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=7670, right_input=2965, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-40438, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=81532","layer":2},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1641, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7818","layer":3},{"info":"compute unary expreesion, input=-7818, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=22","layer":2},{"info":"compute binary expreesion, left_input=81532, right_input=22, 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=8838, right_input=160, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=17130","layer":0}],"base":6,"result_base":6,"text":"(⇐(↹⩛5551⊔↹⩛25330⨔≚≋↹⩛42432∺≝⩲↹⩛10205))∇⊂⋱((↹⩛10203∠↢↹⩛15530)≨(↹⩛55302⫔⩽⩺↹⩛21421))⫁(↘↹⩛5514⫣⪄⊒↹⩛11333)=↹⩛211150","reverse_text":"↹⩛211150=(⇐(↹⩛5551⊔↹⩛25330⨔≚≋↹⩛42432∺≝⩲↹⩛10205))∇⊂⋱((↹⩛10203∠↢↹⩛15530)≨(↹⩛55302⫔⩽⩺↹⩛21421))⫁(↘↹⩛5514⫣⪄⊒↹⩛11333)","cot":[{"info":"↹⩛5551⊔↹⩛25330=↹⩛224432","layer":3},{"info":"↹⩛42432∺≝⩲↹⩛10205=↹⩛424","layer":3},{"info":"↹⩛224432⨔≚≋↹⩛424=↹⩛113412","layer":2},{"info":"⇐↹⩛113412=↹⩛104530","layer":1},{"info":"↹⩛10203∠↢↹⩛15530=↹⩛-511114","layer":3},{"info":"↹⩛55302⫔⩽⩺↹⩛21421=NaN","layer":3},{"info":"↹⩛-511114≨NaN=↹⩛1425244","layer":2},{"info":"↹⩛5514⫣⪄⊒↹⩛11333=↹⩛-100110","layer":3},{"info":"↘↹⩛-100110=↹⩛34","layer":2},{"info":"↹⩛1425244⫁↹⩛34=↹⩛424","layer":1},{"info":"↹⩛104530∇⊂⋱↹⩛424=↹⩛211150","layer":0}]} +{"id":561,"expression_no_base_symbol":"(∨∊⋏($4818$∇⊂⋱$1178$)≁↽≥(⋗⩴⪓$4359$))⪮%⊝((∜⨇($3195$⫸⇳$8429$))⊾⪯⋞($2083$⫚↹⊑$1254$)⪶≀⋏($4237$⪁$1040$))","expression":"(∨∊⋏(↹⩛34150∇⊂⋱↹⩛5242)≁↽≥(⋗⩴⪓↹⩛32103))⪮%⊝((∜⨇(↹⩛22443⫸⇳↹⩛103005))⊾⪯⋞(↹⩛13351⫚↹⊑↹⩛5450)⪶≀⋏(↹⩛31341⪁↹⩛4452))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13203900,"operation_count":11,"complexity_ratio":1200354.5454545454,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4818,"base":6},"right_expr":{"type":"numeric_atoms","value":1178,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4359,"base":6}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3195,"base":6},"right_expr":{"type":"numeric_atoms","value":8429,"base":6}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2083,"base":6},"right_expr":{"type":"numeric_atoms","value":1254,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4237,"base":6},"right_expr":{"type":"numeric_atoms","value":1040,"base":6}}}}},"used_operators":["IWmyXbctLI","R5aXW34M0v","ncHt1X6cMc","nhYeJWJD5X","nOKPl9n5zu","HK0tfVPux8","uFPyJr306J","gx7XJ7hdpj","zR4jO40bMj","dfKe02y8D2","I7sXao9hZE"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","oWn0xqSxBt","3Oe9XWJUTD","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4818","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=1178, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9090","layer":3},{"info":"number node, value=4359","layer":4},{"info":"compute unary expreesion, input=4359, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3446","layer":3},{"info":"compute binary expreesion, left_input=9090, right_input=-3446, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=5955","layer":1},{"info":"number node, value=3195","layer":4},{"info":"number node, value=8429","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=8429, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":2},{"info":"number node, value=2083","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=1254, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=4237","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=4237, right_input=1040, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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":1},{"info":"compute binary expreesion, left_input=5955, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∨∊⋏(↹⩛34150∇⊂⋱↹⩛5242)≁↽≥(⋗⩴⪓↹⩛32103))⪮%⊝((∜⨇(↹⩛22443⫸⇳↹⩛103005))⊾⪯⋞(↹⩛13351⫚↹⊑↹⩛5450)⪶≀⋏(↹⩛31341⪁↹⩛4452))=NaN","reverse_text":"NaN=(∨∊⋏(↹⩛34150∇⊂⋱↹⩛5242)≁↽≥(⋗⩴⪓↹⩛32103))⪮%⊝((∜⨇(↹⩛22443⫸⇳↹⩛103005))⊾⪯⋞(↹⩛13351⫚↹⊑↹⩛5450)⪶≀⋏(↹⩛31341⪁↹⩛4452))","cot":[{"info":"↹⩛34150∇⊂⋱↹⩛5242=↹⩛110030","layer":3},{"info":"⋗⩴⪓↹⩛32103=↹⩛-23542","layer":3},{"info":"↹⩛110030≁↽≥↹⩛-23542=↹⩛524","layer":2},{"info":"∨∊⋏↹⩛524=↹⩛43323","layer":1},{"info":"↹⩛22443⫸⇳↹⩛103005=↹⩛0","layer":3},{"info":"∜⨇↹⩛0=↹⩛0","layer":2},{"info":"↹⩛13351⫚↹⊑↹⩛5450=↹⩛-2023","layer":3},{"info":"↹⩛31341⪁↹⩛4452=NaN","layer":3},{"info":"↹⩛-2023⪶≀⋏NaN=NaN","layer":2},{"info":"↹⩛0⊾⪯⋞NaN=NaN","layer":1},{"info":"↹⩛43323⪮%⊝NaN=NaN","layer":0}]} +{"id":562,"expression_no_base_symbol":"⇙⪊(⇈((⇠$1023$)⫁⪎($6167$∝$1057$)))","expression":"⇙⪊(⇈((⇠↹⩛4423)⫁⪎(↹⩛44315∝↹⩛4521)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1042,"operation_count":5,"complexity_ratio":208.4,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1023,"base":6}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":6167,"base":6},"right_expr":{"type":"numeric_atoms","value":1057,"base":6}}}}},"used_operators":["pB6Fcnrjim","SLLxy00UIr","xRrnTEsQ6j","18saOjeKKm","cTDWOvIxvz"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-781","layer":3},{"info":"number node, value=6167","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=6167, right_input=1057, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6172","layer":3},{"info":"compute binary expreesion, left_input=-781, right_input=6172, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6953","layer":2},{"info":"compute unary expreesion, input=-6953, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇙⪊(⇈((⇠↹⩛4423)⫁⪎(↹⩛44315∝↹⩛4521)))=↹⩛0","reverse_text":"↹⩛0=⇙⪊(⇈((⇠↹⩛4423)⫁⪎(↹⩛44315∝↹⩛4521)))","cot":[{"info":"⇠↹⩛4423=↹⩛-3341","layer":3},{"info":"↹⩛44315∝↹⩛4521=↹⩛44324","layer":3},{"info":"↹⩛-3341⫁⪎↹⩛44324=↹⩛-52105","layer":2},{"info":"⇈↹⩛-52105=↹⩛-2023","layer":1},{"info":"⇙⪊↹⩛-2023=↹⩛0","layer":0}]} +{"id":563,"expression_no_base_symbol":"((⨛$2066$)⪐)↢(≛($3765$⊭↱$2234$))⪔($3721$⨽∌$2066$⇄($6414$∪⫐$2506$)+$2165$⫁$6393$≚⊃≕$7470$≴⪞⇿$3006$)","expression":"((⨛↹⩛13322)⪐)↢(≛(↹⩛25233⊭↱↹⩛14202))⪔(↹⩛25121⨽∌↹⩛13322⇄(↹⩛45410∪⫐↹⩛15334)+↹⩛14005⫁↹⩛45333≚⊃≕↹⩛54330≴⪞⇿↹⩛21530)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7575,"operation_count":13,"complexity_ratio":582.6923076923077,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2066,"base":6}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3765,"base":6},"right_expr":{"type":"numeric_atoms","value":2234,"base":6}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3721,"base":6},"right_expr":{"type":"numeric_atoms","value":2066,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6414,"base":6},"right_expr":{"type":"numeric_atoms","value":2506,"base":6}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2165,"base":6},"right_expr":{"type":"numeric_atoms","value":6393,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":7470,"base":6},"right_expr":{"type":"numeric_atoms","value":3006,"base":6}}}}},"used_operators":["GjBEYRfMaF","WR6HLWljOP","eH2TOUuTDT","CoMdbyAt7R","W7eaUhjymW","COABgblf1C","W4YGzv6Whe","3EYGwJThht","9samAPKr6k","7YooWSwCyH","Bmrmz2XGnR","0ajvFaJAv0","lvlrscuwVU"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=3765","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=2234, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3057","layer":3},{"info":"compute unary expreesion, input=-3057, 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=-6351","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6351, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"number node, value=3721","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=2066, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=6414","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=6414, right_input=2506, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6414","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6414, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-5930","layer":2},{"info":"number node, value=2165","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=6393, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=7470","layer":4},{"info":"number node, value=3006","layer":4},{"info":"compute binary expreesion, left_input=7470, right_input=3006, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=103593852","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=103593852, 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=-310784732","layer":2},{"info":"compute binary expreesion, left_input=-5930, right_input=-310784732, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-310790662","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-310790662, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⨛↹⩛13322)⪐)↢(≛(↹⩛25233⊭↱↹⩛14202))⪔(↹⩛25121⨽∌↹⩛13322⇄(↹⩛45410∪⫐↹⩛15334)+↹⩛14005⫁↹⩛45333≚⊃≕↹⩛54330≴⪞⇿↹⩛21530)=NaN","reverse_text":"NaN=((⨛↹⩛13322)⪐)↢(≛(↹⩛25233⊭↱↹⩛14202))⪔(↹⩛25121⨽∌↹⩛13322⇄(↹⩛45410∪⫐↹⩛15334)+↹⩛14005⫁↹⩛45333≚⊃≕↹⩛54330≴⪞⇿↹⩛21530)","cot":[{"info":"⨛↹⩛13322=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"↹⩛25233⊭↱↹⩛14202=↹⩛-22053","layer":3},{"info":"≛↹⩛-22053=↹⩛-45223","layer":2},{"info":"NaN↢↹⩛-45223=NaN","layer":1},{"info":"↹⩛25121⨽∌↹⩛13322=↹⩛0","layer":3},{"info":"↹⩛45410∪⫐↹⩛15334=↹⩛45410","layer":3},{"info":"↹⩛0⇄↹⩛45410=↹⩛-43242","layer":2},{"info":"↹⩛14005⫁↹⩛45333=↹⩛424","layer":3},{"info":"↹⩛54330≴⪞⇿↹⩛21530=↹⩛14140213100","layer":3},{"info":"↹⩛424≚⊃≕↹⩛14140213100=↹⩛-50501110112","layer":2},{"info":"↹⩛-43242+↹⩛-50501110112=↹⩛-50501153354","layer":1},{"info":"NaN⪔↹⩛-50501153354=NaN","layer":0}]} +{"id":564,"expression_no_base_symbol":"⊵⊁(⇖⫷⫕($2272$⨼⩣$3253$⫰⋱$2612$⪟⇏$5656$))","expression":"⊵⊁(⇖⫷⫕(↹⩛14304⨼⩣↹⩛23021⫰⋱↹⩛20032⪟⇏↹⩛42104))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1122,"operation_count":5,"complexity_ratio":224.4,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2272,"base":6},"right_expr":{"type":"numeric_atoms","value":3253,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2612,"base":6},"right_expr":{"type":"numeric_atoms","value":5656,"base":6}}}}},"used_operators":["AvED76WdY7","UHmRx3INFg","6o9Blt3TJ6","JxwMv5le6e","GODebY97qR"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"↹⩛201234","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2272","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=3253, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2612","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=5656, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=15862","layer":0}],"base":6,"result_base":6,"text":"⊵⊁(⇖⫷⫕(↹⩛14304⨼⩣↹⩛23021⫰⋱↹⩛20032⪟⇏↹⩛42104))=↹⩛201234","reverse_text":"↹⩛201234=⊵⊁(⇖⫷⫕(↹⩛14304⨼⩣↹⩛23021⫰⋱↹⩛20032⪟⇏↹⩛42104))","cot":[{"info":"↹⩛14304⨼⩣↹⩛23021=NaN","layer":3},{"info":"↹⩛20032⪟⇏↹⩛42104=↹⩛-1","layer":3},{"info":"NaN⫰⋱↹⩛-1=NaN","layer":2},{"info":"⇖⫷⫕NaN=↹⩛21022","layer":1},{"info":"⊵⊁↹⩛21022=↹⩛201234","layer":0}]} +{"id":565,"expression_no_base_symbol":"((∜⨇$1008$)⪃⊛⇣($6072$⊍⩺⋍$1725$)⫸⇳(($1060$⪥$3895$)↠))↹⊜($4178$≦↸$1753$⊢($1100$⫸⊐$1739$)≀⫉($6936$↠)⪛($2116$⇷$3600$))","expression":"((∜⨇↹⩛4400)⪃⊛⇣(↹⩛44040⊍⩺⋍↹⩛11553)⫸⇳((↹⩛4524⪥↹⩛30011)↠))↹⊜(↹⩛31202≦↸↹⩛12041⊢(↹⩛5032⫸⊐↹⩛12015)≀⫉(↹⩛52040↠)⪛(↹⩛13444⇷↹⩛24400))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":30789,"operation_count":14,"complexity_ratio":2199.214285714286,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1008,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6072,"base":6},"right_expr":{"type":"numeric_atoms","value":1725,"base":6}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1060,"base":6},"right_expr":{"type":"numeric_atoms","value":3895,"base":6}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4178,"base":6},"right_expr":{"type":"numeric_atoms","value":1753,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1100,"base":6},"right_expr":{"type":"numeric_atoms","value":1739,"base":6}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":6936,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2116,"base":6},"right_expr":{"type":"numeric_atoms","value":3600,"base":6}}}}},"used_operators":["9bazX3JMtO","gx7XJ7hdpj","rrgAzCduG9","uFPyJr306J","OXDGMFPWZM","LBdsKIvxzf","QbnwKVWMIQ","oZj3VtZNQx","5twsqlHp2o","RygbFNSyEJ","mqXw5SEYmG","uFcxV4UQCh","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"↹⩛-252544","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=6072","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=6072, right_input=1725, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=1060","layer":4},{"info":"number node, value=3895","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=3895, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8892","layer":3},{"info":"compute unary expreesion, input=8892, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-447, 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=4178","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=4178, right_input=1753, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11181","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1739, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6831","layer":3},{"info":"compute binary expreesion, left_input=-11181, right_input=6831, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=22118","layer":2},{"info":"number node, value=6936","layer":4},{"info":"compute unary expreesion, input=6936, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=2116","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=3600, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7200","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=7200, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6753","layer":2},{"info":"compute binary expreesion, left_input=22118, right_input=6753, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-22672","layer":0}],"base":6,"result_base":6,"text":"((∜⨇↹⩛4400)⪃⊛⇣(↹⩛44040⊍⩺⋍↹⩛11553)⫸⇳((↹⩛4524⪥↹⩛30011)↠))↹⊜(↹⩛31202≦↸↹⩛12041⊢(↹⩛5032⫸⊐↹⩛12015)≀⫉(↹⩛52040↠)⪛(↹⩛13444⇷↹⩛24400))=↹⩛-252544","reverse_text":"↹⩛-252544=((∜⨇↹⩛4400)⪃⊛⇣(↹⩛44040⊍⩺⋍↹⩛11553)⫸⇳((↹⩛4524⪥↹⩛30011)↠))↹⊜(↹⩛31202≦↸↹⩛12041⊢(↹⩛5032⫸⊐↹⩛12015)≀⫉(↹⩛52040↠)⪛(↹⩛13444⇷↹⩛24400))","cot":[{"info":"∜⨇↹⩛4400=NaN","layer":3},{"info":"↹⩛44040⊍⩺⋍↹⩛11553=NaN","layer":3},{"info":"NaN⪃⊛⇣NaN=↹⩛5414","layer":2},{"info":"↹⩛4524⪥↹⩛30011=↹⩛105100","layer":3},{"info":"↹⩛105100↠=↹⩛-2023","layer":2},{"info":"↹⩛5414⫸⇳↹⩛-2023=↹⩛0","layer":1},{"info":"↹⩛31202≦↸↹⩛12041=↹⩛-123433","layer":3},{"info":"↹⩛5032⫸⊐↹⩛12015=↹⩛51343","layer":3},{"info":"↹⩛-123433⊢↹⩛51343=↹⩛250222","layer":2},{"info":"↹⩛52040↠=↹⩛-2023","layer":3},{"info":"↹⩛13444⇷↹⩛24400=↹⩛53200","layer":3},{"info":"↹⩛-2023⪛↹⩛53200=↹⩛51133","layer":2},{"info":"↹⩛250222≀⫉↹⩛51133=↹⩛21022","layer":1},{"info":"↹⩛0↹⊜↹⩛21022=↹⩛-252544","layer":0}]} +{"id":566,"expression_no_base_symbol":"(($2734$⫸⊐$2403$)⩷∴(≯$2638$)⋳⪒(≦∁(⊲⪭$1651$)))⊔((⨡↴$6280$⩣⫁∢$8629$)⩷∴($8844$⩼⇪↪$1558$≃$1929$⩘$3880$))","expression":"((↹⩛20354⫸⊐↹⩛15043)⩷∴(≯↹⩛20114)⋳⪒(≦∁(⊲⪭↹⩛11351)))⊔((⨡↴↹⩛45024⩣⫁∢↹⩛103541)⩷∴(↹⩛104540⩼⇪↪↹⩛11114≃↹⩛12533⩘↹⩛25544))","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":252,"operation_count":13,"complexity_ratio":19.384615384615383,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2734,"base":6},"right_expr":{"type":"numeric_atoms","value":2403,"base":6}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2638,"base":6}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1651,"base":6}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6280,"base":6},"right_expr":{"type":"numeric_atoms","value":8629,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":8844,"base":6},"right_expr":{"type":"numeric_atoms","value":1558,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1929,"base":6},"right_expr":{"type":"numeric_atoms","value":3880,"base":6}}}}},"used_operators":["E4l6HwMY31","12rbrZMWeM","9FxExcQeMw","mqXw5SEYmG","keWfFq85dY","9ICcGScMcE","k7HXdKtiEU","liw5iZPkLH","JDUIKTTSIa","YbVcJGFEVW","ocnLzx9CaJ","cHh1gJQ2o6"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","g55IO6H4Gj","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","P8v4zCKN1o","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛1500022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2734","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=2403, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9487","layer":3},{"info":"number node, value=2638","layer":4},{"info":"compute unary expreesion, input=2638, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9487, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=18942","layer":2},{"info":"number node, value=1651","layer":4},{"info":"compute unary expreesion, input=1651, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1825","layer":3},{"info":"compute unary expreesion, input=-1825, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=18942, right_input=67, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=37530","layer":1},{"info":"number node, value=6280","layer":4},{"info":"number node, value=8629","layer":4},{"info":"compute binary expreesion, left_input=6280, right_input=8629, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12399","layer":3},{"info":"compute unary expreesion, input=-12399, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":2},{"info":"number node, value=8844","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=8844, right_input=1558, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=5999","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=3880, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5999, 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":2},{"info":"compute binary expreesion, left_input=-55, right_input=-1360, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2578","layer":1},{"info":"compute binary expreesion, left_input=37530, right_input=2578, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=85550","layer":0}],"base":6,"result_base":6,"text":"((↹⩛20354⫸⊐↹⩛15043)⩷∴(≯↹⩛20114)⋳⪒(≦∁(⊲⪭↹⩛11351)))⊔((⨡↴↹⩛45024⩣⫁∢↹⩛103541)⩷∴(↹⩛104540⩼⇪↪↹⩛11114≃↹⩛12533⩘↹⩛25544))=↹⩛1500022","reverse_text":"↹⩛1500022=((↹⩛20354⫸⊐↹⩛15043)⩷∴(≯↹⩛20114)⋳⪒(≦∁(⊲⪭↹⩛11351)))⊔((⨡↴↹⩛45024⩣⫁∢↹⩛103541)⩷∴(↹⩛104540⩼⇪↪↹⩛11114≃↹⩛12533⩘↹⩛25544))","cot":[{"info":"↹⩛20354⫸⊐↹⩛15043=↹⩛111531","layer":3},{"info":"≯↹⩛20114=↹⩛0","layer":3},{"info":"↹⩛111531⩷∴↹⩛0=↹⩛223410","layer":2},{"info":"⊲⪭↹⩛11351=↹⩛-12241","layer":3},{"info":"≦∁↹⩛-12241=↹⩛151","layer":2},{"info":"↹⩛223410⋳⪒↹⩛151=↹⩛445430","layer":1},{"info":"↹⩛45024⩣⫁∢↹⩛103541=↹⩛-133223","layer":3},{"info":"⨡↴↹⩛-133223=↹⩛-131","layer":2},{"info":"↹⩛104540⩼⇪↪↹⩛11114=↹⩛43435","layer":3},{"info":"↹⩛12533⩘↹⩛25544=↹⩛424","layer":3},{"info":"↹⩛43435≃↹⩛424=↹⩛-10144","layer":2},{"info":"↹⩛-131⩷∴↹⩛-10144=↹⩛15534","layer":1},{"info":"↹⩛445430⊔↹⩛15534=↹⩛1500022","layer":0}]} +{"id":567,"expression_no_base_symbol":"⨦⪝((($1264$∸)↦)≭($1108$⨪↰⇹$1120$∠⫱(⨑⩽⪐$4715$)))","expression":"⨦⪝(((↹⩛5504∸)↦)≭(↹⩛5044⨪↰⇹↹⩛5104∠⫱(⨑⩽⪐↹⩛33455)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1650,"operation_count":7,"complexity_ratio":235.71428571428572,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1264,"base":6}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1108,"base":6},"right_expr":{"type":"numeric_atoms","value":1120,"base":6}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4715,"base":6}}}}},"used_operators":["SUjycxNXIR","rxpJgHHUmx","fFznvYxMfW","o20kRiQErp","QvoQhV0rrE","tmPS8pqC7x","AF7qkfDlqP"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","AHs5Up7iyr","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","tmPS8pqC7x","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"↹⩛-12420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":2},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1120, 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=1108","layer":3},{"info":"number node, value=4715","layer":4},{"info":"compute unary expreesion, input=4715, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4442","layer":3},{"info":"compute binary expreesion, left_input=1108, right_input=-4442, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=5550","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5550, 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 = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":6,"result_base":6,"text":"⨦⪝(((↹⩛5504∸)↦)≭(↹⩛5044⨪↰⇹↹⩛5104∠⫱(⨑⩽⪐↹⩛33455)))=↹⩛-12420","reverse_text":"↹⩛-12420=⨦⪝(((↹⩛5504∸)↦)≭(↹⩛5044⨪↰⇹↹⩛5104∠⫱(⨑⩽⪐↹⩛33455)))","cot":[{"info":"↹⩛5504∸=↹⩛453","layer":3},{"info":"↹⩛453↦=NaN","layer":2},{"info":"↹⩛5044⨪↰⇹↹⩛5104=↹⩛5044","layer":3},{"info":"⨑⩽⪐↹⩛33455=↹⩛-32322","layer":3},{"info":"↹⩛5044∠⫱↹⩛-32322=↹⩛41410","layer":2},{"info":"NaN≭↹⩛41410=NaN","layer":1},{"info":"⨦⪝NaN=↹⩛-12420","layer":0}]} +{"id":568,"expression_no_base_symbol":"($1439$∴$4248$⨓($1539$≃$7106$))⫉⨲⊜((⫖→$1349$)⋘⨑⨽)⫍⨯↯","expression":"(↹⩛10355∴↹⩛31400⨓(↹⩛11043≃↹⩛52522))⫉⨲⊜((⫖→↹⩛10125)⋘⨑⨽)⫍⨯↯","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7834,"operation_count":7,"complexity_ratio":1119.142857142857,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1439,"base":6},"right_expr":{"type":"numeric_atoms","value":4248,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1539,"base":6},"right_expr":{"type":"numeric_atoms","value":7106,"base":6}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1349,"base":6}}}}},"used_operators":["ZcwmYACASQ","WhqkvtTD3t","3ViojmjbAp","hrf7POJlIJ","YbVcJGFEVW","WmT3o8z6ya","U4ylXWHChL"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","eewbuw0ToL","zVYPLywUTj","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"↹⩛-150","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1439","layer":4},{"info":"number node, value=4248","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=4248, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4526","layer":3},{"info":"number node, value=1539","layer":4},{"info":"number node, value=7106","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=7106, 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=-6196","layer":3},{"info":"compute binary expreesion, left_input=4526, right_input=-6196, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=6193","layer":2},{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=1668","layer":2},{"info":"compute binary expreesion, left_input=6193, right_input=1668, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-66","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10355∴↹⩛31400⨓(↹⩛11043≃↹⩛52522))⫉⨲⊜((⫖→↹⩛10125)⋘⨑⨽)⫍⨯↯=↹⩛-150","reverse_text":"↹⩛-150=(↹⩛10355∴↹⩛31400⨓(↹⩛11043≃↹⩛52522))⫉⨲⊜((⫖→↹⩛10125)⋘⨑⨽)⫍⨯↯","cot":[{"info":"↹⩛10355∴↹⩛31400=↹⩛32542","layer":3},{"info":"↹⩛11043≃↹⩛52522=↹⩛-44404","layer":3},{"info":"↹⩛32542⨓↹⩛-44404=↹⩛44401","layer":2},{"info":"⫖→↹⩛10125=↹⩛453","layer":3},{"info":"↹⩛453⋘⨑⨽=↹⩛11420","layer":2},{"info":"↹⩛44401⫉⨲⊜↹⩛11420=↹⩛0","layer":1},{"info":"↹⩛0⫍⨯↯=↹⩛-150","layer":0}]} +{"id":569,"expression_no_base_symbol":"(⨛$2950$⨑⩅≇$2380$⋥≓≎$1647$⋓$4963$)≹⇙⪍((↣≠⋷$2118$)⪍↜⋙($2179$∝$4804$)≓∲$3005$⪒⊣⊆$1739$⩧⪆(⊽$1944$))","expression":"(⨛↹⩛21354⨑⩅≇↹⩛15004⋥≓≎↹⩛11343⋓↹⩛34551)≹⇙⪍((↣≠⋷↹⩛13450)⪍↜⋙(↹⩛14031∝↹⩛34124)≓∲↹⩛21525⪒⊣⊆↹⩛12015⩧⪆(⊽↹⩛13000))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2567,"operation_count":12,"complexity_ratio":213.91666666666666,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2950,"base":6},"right_expr":{"type":"numeric_atoms","value":2380,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1647,"base":6},"right_expr":{"type":"numeric_atoms","value":4963,"base":6}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2118,"base":6}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2179,"base":6},"right_expr":{"type":"numeric_atoms","value":4804,"base":6}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3005,"base":6},"right_expr":{"type":"numeric_atoms","value":1739,"base":6}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1944,"base":6}}}}},"used_operators":["AHs5Up7iyr","CoMdbyAt7R","Qy55tPpLXF","h92wMvzauj","T2fj7uvVaJ","s1XTVnmDOJ","L05ObWFQCd","Asc51vEJeQ","cTDWOvIxvz","Ikt5ks8PT7","eRqsBgTDFp","QxG7OkqoLX"],"dependent_operators":["dWAJyo7jo9","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XhwjNDsVaA","AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2950","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=2380, 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=-8850","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=4963","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=4963, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8850, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2179","layer":4},{"info":"number node, value=4804","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=4804, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2184, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=3005","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=1739, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6010","layer":3},{"info":"number node, value=1944","layer":4},{"info":"compute unary expreesion, input=1944, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5410","layer":3},{"info":"compute binary expreesion, left_input=6010, right_input=5410, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5410","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5410, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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":6,"result_base":6,"text":"(⨛↹⩛21354⨑⩅≇↹⩛15004⋥≓≎↹⩛11343⋓↹⩛34551)≹⇙⪍((↣≠⋷↹⩛13450)⪍↜⋙(↹⩛14031∝↹⩛34124)≓∲↹⩛21525⪒⊣⊆↹⩛12015⩧⪆(⊽↹⩛13000))=NaN","reverse_text":"NaN=(⨛↹⩛21354⨑⩅≇↹⩛15004⋥≓≎↹⩛11343⋓↹⩛34551)≹⇙⪍((↣≠⋷↹⩛13450)⪍↜⋙(↹⩛14031∝↹⩛34124)≓∲↹⩛21525⪒⊣⊆↹⩛12015⩧⪆(⊽↹⩛13000))","cot":[{"info":"↹⩛21354⨑⩅≇↹⩛15004=↹⩛-104550","layer":3},{"info":"↹⩛11343⋓↹⩛34551=↹⩛0","layer":3},{"info":"↹⩛-104550⋥≓≎↹⩛0=↹⩛151","layer":2},{"info":"⨛↹⩛151=NaN","layer":1},{"info":"↣≠⋷↹⩛13450=NaN","layer":3},{"info":"↹⩛14031∝↹⩛34124=↹⩛14040","layer":3},{"info":"NaN⪍↜⋙↹⩛14040=NaN","layer":2},{"info":"↹⩛21525⪒⊣⊆↹⩛12015=↹⩛43454","layer":3},{"info":"⊽↹⩛13000=↹⩛41014","layer":3},{"info":"↹⩛43454⩧⪆↹⩛41014=↹⩛-41014","layer":2},{"info":"NaN≓∲↹⩛-41014=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]} +{"id":570,"expression_no_base_symbol":"(($1073$↹⊜$1190$⇄$1464$⪶≀⋏$1101$)⪔⊥($1766$⨥⫆$5123$≚⊃≕($1807$⫰⋱$1200$)))⫻⋑⊟","expression":"((↹⩛4545↹⊜↹⩛5302⇄↹⩛10440⪶≀⋏↹⩛5033)⪔⊥(↹⩛12102⨥⫆↹⩛35415≚⊃≕(↹⩛12211⫰⋱↹⩛5320)))⫻⋑⊟","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":127,"operation_count":8,"complexity_ratio":15.875,"tree":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1073,"base":6},"right_expr":{"type":"numeric_atoms","value":1190,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1464,"base":6},"right_expr":{"type":"numeric_atoms","value":1101,"base":6}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1766,"base":6},"right_expr":{"type":"numeric_atoms","value":5123,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1807,"base":6},"right_expr":{"type":"numeric_atoms","value":1200,"base":6}}}}},"used_operators":["o575Zjdmzy","HJ9erzHUuu","3EYGwJThht","9bazX3JMtO","zR4jO40bMj","Bmrmz2XGnR","yXekIHxTD4","6o9Blt3TJ6"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"↹⩛13254520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1190, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2710","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=1101, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6826","layer":3},{"info":"compute binary expreesion, left_input=-2710, right_input=-6826, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1766","layer":4},{"info":"number node, value=5123","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=5123, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10122","layer":3},{"info":"number node, value=1807","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1200, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1774","layer":3},{"info":"compute binary expreesion, left_input=10122, right_input=-1774, 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=36774","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=36774, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-73747","layer":1},{"info":"compute unary expreesion, input=-73747, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=442992","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4545↹⊜↹⩛5302⇄↹⩛10440⪶≀⋏↹⩛5033)⪔⊥(↹⩛12102⨥⫆↹⩛35415≚⊃≕(↹⩛12211⫰⋱↹⩛5320)))⫻⋑⊟=↹⩛13254520","reverse_text":"↹⩛13254520=((↹⩛4545↹⊜↹⩛5302⇄↹⩛10440⪶≀⋏↹⩛5033)⪔⊥(↹⩛12102⨥⫆↹⩛35415≚⊃≕(↹⩛12211⫰⋱↹⩛5320)))⫻⋑⊟","cot":[{"info":"↹⩛4545↹⊜↹⩛5302=↹⩛-20314","layer":3},{"info":"↹⩛10440⪶≀⋏↹⩛5033=↹⩛-51334","layer":3},{"info":"↹⩛-20314⇄↹⩛-51334=↹⩛0","layer":2},{"info":"↹⩛12102⨥⫆↹⩛35415=↹⩛114510","layer":3},{"info":"↹⩛12211⫰⋱↹⩛5320=↹⩛-12114","layer":3},{"info":"↹⩛114510≚⊃≕↹⩛-12114=↹⩛442130","layer":2},{"info":"↹⩛0⪔⊥↹⩛442130=↹⩛-1325231","layer":1},{"info":"↹⩛-1325231⫻⋑⊟=↹⩛13254520","layer":0}]} +{"id":571,"expression_no_base_symbol":"((($3484$∙⊟$1084$)⫭)⪑⩈)⇐≅","expression":"(((↹⩛24044∙⊟↹⩛5004)⫭)⪑⩈)⇐≅","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3605,"operation_count":4,"complexity_ratio":901.25,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3484,"base":6},"right_expr":{"type":"numeric_atoms","value":1084,"base":6}}}}},"used_operators":["wEfv7U73WA","C6VvDP6HwP","t4WUHVGj7f","SxTAKzQCrw"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"↹⩛202355141","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3484","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=1084, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=55138","layer":3},{"info":"compute unary expreesion, input=55138, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=165655","layer":2},{"info":"compute unary expreesion, input=165655, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=1161175","layer":1},{"info":"compute unary expreesion, input=1161175, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3483493","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛24044∙⊟↹⩛5004)⫭)⪑⩈)⇐≅=↹⩛202355141","reverse_text":"↹⩛202355141=(((↹⩛24044∙⊟↹⩛5004)⫭)⪑⩈)⇐≅","cot":[{"info":"↹⩛24044∙⊟↹⩛5004=↹⩛1103134","layer":3},{"info":"↹⩛1103134⫭=↹⩛3314531","layer":2},{"info":"↹⩛3314531⪑⩈=↹⩛40515451","layer":1},{"info":"↹⩛40515451⇐≅=↹⩛202355141","layer":0}]} +{"id":572,"expression_no_base_symbol":"((($4226$≀⩗∶$1455$)≀⫉($5499$⨑≵⋬$2842$))⪣⫩)∓⋝((↨$5560$)⫞⩸⩒($4929$⊀⩕)≎⊠⪸($1593$⫔⩽⩺$1189$)↳≱($1405$↡⊰⫅$2720$))","expression":"(((↹⩛31322≀⩗∶↹⩛10423)≀⫉(↹⩛41243⨑≵⋬↹⩛21054))⪣⫩)∓⋝((↨↹⩛41424)⫞⩸⩒(↹⩛34453⊀⩕)≎⊠⪸(↹⩛11213⫔⩽⩺↹⩛5301)↳≱(↹⩛10301↡⊰⫅↹⩛20332))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39881,"operation_count":12,"complexity_ratio":3323.4166666666665,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4226,"base":6},"right_expr":{"type":"numeric_atoms","value":1455,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5499,"base":6},"right_expr":{"type":"numeric_atoms","value":2842,"base":6}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5560,"base":6}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":4929,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1593,"base":6},"right_expr":{"type":"numeric_atoms","value":1189,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1405,"base":6},"right_expr":{"type":"numeric_atoms","value":2720,"base":6}}}}},"used_operators":["PoHhknlbAi","iuk5sVOGFA","oZj3VtZNQx","8INZBEW696","XnXgA4xnOs","bJkvcejdHO","XGcMNugi78","jiX4gk2v2Q","r0FS3hW4cC","JwTKLfZU96","i9eR4S00cU","VCtxkLNOzz"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rGHVDoGpnC","oZj3VtZNQx","rGHVDoGpnC","nhYeJWJD5X","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Tw270M8GLb","fu6greOZ01","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4226","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=4226, right_input=1455, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5499","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=5499, right_input=2842, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8980","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8980, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=8433","layer":1},{"info":"number node, value=5560","layer":4},{"info":"compute unary expreesion, input=5560, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=4929","layer":4},{"info":"compute unary expreesion, input=4929, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"number node, value=1593","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1189, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=2720, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5440","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5440, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8433, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛31322≀⩗∶↹⩛10423)≀⫉(↹⩛41243⨑≵⋬↹⩛21054))⪣⫩)∓⋝((↨↹⩛41424)⫞⩸⩒(↹⩛34453⊀⩕)≎⊠⪸(↹⩛11213⫔⩽⩺↹⩛5301)↳≱(↹⩛10301↡⊰⫅↹⩛20332))=↹⩛151","reverse_text":"↹⩛151=(((↹⩛31322≀⩗∶↹⩛10423)≀⫉(↹⩛41243⨑≵⋬↹⩛21054))⪣⫩)∓⋝((↨↹⩛41424)⫞⩸⩒(↹⩛34453⊀⩕)≎⊠⪸(↹⩛11213⫔⩽⩺↹⩛5301)↳≱(↹⩛10301↡⊰⫅↹⩛20332))","cot":[{"info":"↹⩛31322≀⩗∶↹⩛10423=↹⩛0","layer":3},{"info":"↹⩛41243⨑≵⋬↹⩛21054=↹⩛105324","layer":3},{"info":"↹⩛0≀⫉↹⩛105324=↹⩛21022","layer":2},{"info":"↹⩛21022⪣⫩=↹⩛103013","layer":1},{"info":"↨↹⩛41424=NaN","layer":3},{"info":"↹⩛34453⊀⩕=↹⩛0","layer":3},{"info":"NaN⫞⩸⩒↹⩛0=NaN","layer":2},{"info":"↹⩛11213⫔⩽⩺↹⩛5301=NaN","layer":3},{"info":"↹⩛10301↡⊰⫅↹⩛20332=↹⩛41104","layer":3},{"info":"NaN↳≱↹⩛41104=↹⩛0","layer":2},{"info":"NaN≎⊠⪸↹⩛0=NaN","layer":1},{"info":"↹⩛103013∓⋝NaN=↹⩛151","layer":0}]} +{"id":573,"expression_no_base_symbol":"((⫯$1122$)⇡⇂($2146$⪢$3546$)⨻⩈⩔((∤↝$1908$)⊚⫡⫭))⫒⫫(⩎⋉(($1236$∙∹∝$1427$)∠⫱(⫡⇟⇯$2682$)))","expression":"((⫯↹⩛5110)⇡⇂(↹⩛13534⪢↹⩛24230)⨻⩈⩔((∤↝↹⩛12500)⊚⫡⫭))⫒⫫(⩎⋉((↹⩛5420∙∹∝↹⩛10335)∠⫱(⫡⇟⇯↹⩛20230)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4206,"operation_count":11,"complexity_ratio":382.3636363636364,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1122,"base":6}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2146,"base":6},"right_expr":{"type":"numeric_atoms","value":3546,"base":6}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1908,"base":6}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1236,"base":6},"right_expr":{"type":"numeric_atoms","value":1427,"base":6}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2682,"base":6}}}}},"used_operators":["6Ko8hGgeMq","nEsXyWgiOK","UMwdvZNt44","H6BK1Evt7c","dWAJyo7jo9","SpZWOsLKZJ","3UMq87Qwqg","FlXk3pOYe8","QvoQhV0rrE","HmxsFra2vL","qWUSsah53b"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","k8jYdgA6NY","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DZ8iAZOCBD","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-32336","layer":3},{"info":"number node, value=2146","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=3546, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-32336, 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":2},{"info":"number node, value=1908","layer":4},{"info":"compute unary expreesion, input=1908, 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=1908","layer":3},{"info":"compute unary expreesion, input=1908, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-2890","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2890, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=1236","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1427, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2682","layer":4},{"info":"compute unary expreesion, input=2682, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=6232","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6232, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⫯↹⩛5110)⇡⇂(↹⩛13534⪢↹⩛24230)⨻⩈⩔((∤↝↹⩛12500)⊚⫡⫭))⫒⫫(⩎⋉((↹⩛5420∙∹∝↹⩛10335)∠⫱(⫡⇟⇯↹⩛20230)))=NaN","reverse_text":"NaN=((⫯↹⩛5110)⇡⇂(↹⩛13534⪢↹⩛24230)⨻⩈⩔((∤↝↹⩛12500)⊚⫡⫭))⫒⫫(⩎⋉((↹⩛5420∙∹∝↹⩛10335)∠⫱(⫡⇟⇯↹⩛20230)))","cot":[{"info":"⫯↹⩛5110=↹���-405412","layer":3},{"info":"↹⩛13534⪢↹⩛24230=NaN","layer":3},{"info":"↹⩛-405412⇡⇂NaN=NaN","layer":2},{"info":"∤↝↹⩛12500=↹⩛12500","layer":3},{"info":"↹⩛12500⊚⫡⫭=↹⩛-21214","layer":2},{"info":"NaN⨻⩈⩔↹⩛-21214=NaN","layer":1},{"info":"↹⩛5420∙∹∝↹⩛10335=↹⩛0","layer":3},{"info":"⫡⇟⇯↹⩛20230=↹⩛44504","layer":3},{"info":"↹⩛0∠⫱↹⩛44504=↹⩛5414","layer":2},{"info":"⩎⋉↹⩛5414=↹⩛11350","layer":1},{"info":"NaN⫒⫫↹⩛11350=NaN","layer":0}]} +{"id":574,"expression_no_base_symbol":"($1363$+⪬∐$3995$≠≀(⪸$6493$)⋝⋈⪟($3361$≳⇉$1967$⨳⩥⨓$1363$⩇∃⫛$3371$))⋕⪉⪜(($2224$⋳⪒$2925$+$3353$⪶≀⋏$4486$)⩎⪣⊞)","expression":"(↹⩛10151+⪬∐↹⩛30255≠≀(⪸↹⩛50021)⋝⋈⪟(↹⩛23321≳⇉↹⩛13035⨳⩥⨓↹⩛10151⩇∃⫛↹⩛23335))⋕⪉⪜((↹⩛14144⋳⪒↹⩛21313+↹⩛23305⪶≀⋏↹⩛32434)⩎⪣⊞)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65004402,"operation_count":12,"complexity_ratio":5417033.5,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1363,"base":6},"right_expr":{"type":"numeric_atoms","value":3995,"base":6}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6493,"base":6}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3361,"base":6},"right_expr":{"type":"numeric_atoms","value":1967,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1363,"base":6},"right_expr":{"type":"numeric_atoms","value":3371,"base":6}}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2224,"base":6},"right_expr":{"type":"numeric_atoms","value":2925,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3353,"base":6},"right_expr":{"type":"numeric_atoms","value":4486,"base":6}}}}},"used_operators":["z6LnFrNh4i","2DDjHMKMc0","IwW236VD4Y","2GS7woTJqF","86A5ENbKR9","nCS4ZIUYfx","V0kx6qeWkN","1aApVXNlOP","waWucp1uQ4","W4YGzv6Whe","12rbrZMWeM","zR4jO40bMj"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3995, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4089","layer":3},{"info":"number node, value=6493","layer":4},{"info":"compute unary expreesion, input=6493, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-110172","layer":3},{"info":"compute binary expreesion, left_input=-4089, right_input=-110172, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=114140","layer":2},{"info":"number node, value=3361","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=1967, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3371, 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=2481","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2481, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=114140, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2224","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=2925, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1236","layer":3},{"info":"number node, value=3353","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=4486, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19263","layer":3},{"info":"compute binary expreesion, left_input=1236, right_input=-19263, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-18027","layer":2},{"info":"compute unary expreesion, input=-18027, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', 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":6,"result_base":6,"text":"(↹⩛10151+⪬∐↹⩛30255≠≀(⪸↹⩛50021)⋝⋈⪟(↹⩛23321≳⇉↹⩛13035⨳⩥⨓↹⩛10151⩇∃⫛↹⩛23335))⋕⪉⪜((↹⩛14144⋳⪒↹⩛21313+↹⩛23305⪶≀⋏↹⩛32434)⩎⪣⊞)=↹⩛540","reverse_text":"↹⩛540=(↹⩛10151+⪬∐↹⩛30255≠≀(⪸↹⩛50021)⋝⋈⪟(↹⩛23321≳⇉↹⩛13035⨳⩥⨓↹⩛10151⩇∃⫛↹⩛23335))⋕⪉⪜((↹⩛14144⋳⪒↹⩛21313+↹⩛23305⪶≀⋏↹⩛32434)⩎⪣⊞)","cot":[{"info":"↹⩛10151+⪬∐↹⩛30255=↹⩛-30533","layer":3},{"info":"⪸↹⩛50021=↹⩛-2210020","layer":3},{"info":"↹⩛-30533≠≀↹⩛-2210020=↹⩛2240232","layer":2},{"info":"↹⩛23321≳⇉↹⩛13035=NaN","layer":3},{"info":"↹⩛10151⩇∃⫛↹⩛23335=↹⩛15253","layer":3},{"info":"NaN⨳⩥⨓↹⩛15253=NaN","layer":2},{"info":"↹⩛2240232⋝⋈⪟NaN=NaN","layer":1},{"info":"↹⩛14144⋳⪒↹⩛21313=↹⩛5420","layer":3},{"info":"↹⩛23305⪶≀⋏↹⩛32434=↹⩛-225103","layer":3},{"info":"↹⩛5420+↹⩛-225103=↹⩛-215243","layer":2},{"info":"↹⩛-215243⩎⪣⊞=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=↹⩛540","layer":0}]} +{"id":575,"expression_no_base_symbol":"(⫓⪴($1749$⇮⋭$1276$)↢($1164$%$5088$))⪟⇏((⊊≼∋$3396$)⩁⩘$3131$⨸$2300$+((≸$2547$)⪷))","expression":"(⫓⪴(↹⩛12033⇮⋭↹⩛5524)↢(↹⩛5220%↹⩛35320))⪟⇏((⊊≼∋↹⩛23420)⩁⩘↹⩛22255⨸↹⩛14352+((≸↹⩛15443)⪷))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8279,"operation_count":11,"complexity_ratio":752.6363636363636,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1749,"base":6},"right_expr":{"type":"numeric_atoms","value":1276,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1164,"base":6},"right_expr":{"type":"numeric_atoms","value":5088,"base":6}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3396,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3131,"base":6},"right_expr":{"type":"numeric_atoms","value":2300,"base":6}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2547,"base":6}}}}},"used_operators":["GODebY97qR","eLxqMNBOBk","WR6HLWljOP","vkpjKywKVM","k8jYdgA6NY","W4YGzv6Whe","gub5Cegaqo","FWz7pXsQhA","KmoU8R5UQR","Qctrpi3WzA","eOf03JbCpp"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9HNa5Wba9A","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","jCPkEVoL5K","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Nsiff2A1zJ","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1749","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=1276, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=5088","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=5088, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1164","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1164, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1382","layer":2},{"info":"compute unary expreesion, input=1382, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1909924","layer":1},{"info":"number node, value=3396","layer":4},{"info":"compute unary expreesion, input=3396, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=3131","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3131, right_input=2300, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6262","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=6262, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=25996","layer":2},{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=25996, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1909924, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":6,"result_base":6,"text":"(⫓⪴(↹⩛12033⇮⋭↹⩛5524)↢(↹⩛5220%↹⩛35320))⪟⇏((⊊≼∋↹⩛23420)⩁⩘↹⩛22255⨸↹⩛14352+((≸↹⩛15443)⪷))=↹⩛-1","reverse_text":"↹⩛-1=(⫓⪴(↹⩛12033⇮⋭↹⩛5524)↢(↹⩛5220%↹⩛35320))⪟⇏((⊊≼∋↹⩛23420)⩁⩘↹⩛22255⨸↹⩛14352+((≸↹⩛15443)⪷))","cot":[{"info":"↹⩛12033⇮⋭↹⩛5524=↹⩛-2105","layer":3},{"info":"↹⩛5220%↹⩛35320=↹⩛5220","layer":3},{"info":"↹⩛-2105↢↹⩛5220=↹⩛10222","layer":2},{"info":"⫓⪴↹⩛10222=↹⩛104534124","layer":1},{"info":"⊊≼∋↹⩛23420=↹⩛-2023","layer":3},{"info":"↹⩛22255⨸↹⩛14352=↹⩛44554","layer":3},{"info":"↹⩛-2023⩁⩘↹⩛44554=↹⩛320204","layer":2},{"info":"≸↹⩛15443=↹⩛134","layer":3},{"info":"↹⩛134⪷=NaN","layer":2},{"info":"↹⩛320204+NaN=NaN","layer":1},{"info":"↹⩛104534124⪟⇏NaN=↹⩛-1","layer":0}]} +{"id":576,"expression_no_base_symbol":"(⋎⨆((↘$1409$)⫲⨊))≭($4747$⨪↰⇹$3716$⫸⇳(⊖∈$2944$))∴((∂$2594$)⊹∫⫚$6617$⨚$8057$)","expression":"(⋎⨆((↘↹⩛10305)⫲⨊))≭(↹⩛33551⨪↰⇹↹⩛25112⫸⇳(⊖∈↹⩛21344))∴((∂↹⩛20002)⊹∫⫚↹⩛50345⨚↹⩛101145)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5084,"operation_count":11,"complexity_ratio":462.1818181818182,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1409,"base":6}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4747,"base":6},"right_expr":{"type":"numeric_atoms","value":3716,"base":6}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2944,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2594,"base":6}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":6617,"base":6},"right_expr":{"type":"numeric_atoms","value":8057,"base":6}}}}},"used_operators":["rxpJgHHUmx","E64sFOc4tB","CArV6hThFE","LdNpr8hQHL","hrf7POJlIJ","gx7XJ7hdpj","tmPS8pqC7x","YFxL8Sc2Zy","uWAJUKEvyW","Uaa54Peajs","nREPSIbpBE"],"dependent_operators":["AHs5Up7iyr","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","uFcxV4UQCh","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rJVOvQCfKK","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=233","layer":3},{"info":"compute unary expreesion, input=233, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1948","layer":2},{"info":"compute unary expreesion, input=1948, 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=4747","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=3716, 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=4747","layer":3},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=53286","layer":3},{"info":"compute binary expreesion, left_input=4747, right_input=53286, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=2594","layer":4},{"info":"compute unary expreesion, input=2594, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=6617","layer":4},{"info":"number node, value=8057","layer":4},{"info":"compute binary expreesion, left_input=6617, right_input=8057, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18060","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18060, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-168","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-168, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1648, 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":6,"result_base":6,"text":"(⋎⨆((↘↹⩛10305)⫲⨊))≭(↹⩛33551⨪↰⇹↹⩛25112⫸⇳(⊖∈↹⩛21344))∴((∂↹⩛20002)⊹∫⫚↹⩛50345⨚↹⩛101145)=NaN","reverse_text":"NaN=(⋎⨆((↘↹⩛10305)⫲⨊))≭(↹⩛33551⨪↰⇹↹⩛25112⫸⇳(⊖∈↹⩛21344))∴((∂↹⩛20002)⊹∫⫚↹⩛50345⨚↹⩛101145)","cot":[{"info":"↘↹⩛10305=↹⩛1025","layer":3},{"info":"↹⩛1025⫲⨊=↹⩛13004","layer":2},{"info":"⋎⨆↹⩛13004=↹⩛0","layer":1},{"info":"↹⩛33551⨪↰⇹↹⩛25112=↹⩛33551","layer":3},{"info":"⊖∈↹⩛21344=↹⩛1050410","layer":3},{"info":"↹⩛33551⫸⇳↹⩛1050410=↹⩛0","layer":2},{"info":"∂↹⩛20002=NaN","layer":3},{"info":"↹⩛50345⨚↹⩛101145=↹⩛-215340","layer":3},{"info":"NaN⊹∫⫚↹⩛-215340=↹⩛-440","layer":2},{"info":"↹⩛0∴↹⩛-440=↹⩛11344","layer":1},{"info":"↹⩛0≭↹⩛11344=NaN","layer":0}]} +{"id":577,"expression_no_base_symbol":"⨴⫝((∨∊⋏$1390$)⇼⇔∾$2294$⨻⩈⩔$1773$)⩍⋽⫝̸(($4992$⩹$1520$)↸$4848$⊮⊟↴$4677$)","expression":"⨴⫝((∨∊⋏↹⩛10234)⇼⇔∾↹⩛14342⨻⩈⩔↹⩛12113)⩍⋽⫝̸((↹⩛35040⩹↹⩛11012)↸↹⩛34240⊮⊟↴↹⩛33353)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2065,"operation_count":8,"complexity_ratio":258.125,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1390,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2294,"base":6},"right_expr":{"type":"numeric_atoms","value":1773,"base":6}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4992,"base":6},"right_expr":{"type":"numeric_atoms","value":1520,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4848,"base":6},"right_expr":{"type":"numeric_atoms","value":4677,"base":6}}}}},"used_operators":["SVb2v531z1","BiWNJpBvwn","tifHPKVTfV","R5aXW34M0v","nEsXyWgiOK","1eCjFl0mb9","2Wsdkap16l","QDVgd2eftb"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"↹⩛140341302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=20159","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1773, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9951","layer":3},{"info":"compute binary expreesion, left_input=20159, right_input=9951, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10208","layer":2},{"info":"number node, value=4992","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=4992, right_input=1520, 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=1518","layer":3},{"info":"number node, value=4848","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=4677, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1518, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1518","layer":2},{"info":"compute binary expreesion, left_input=-10208, right_input=1518, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=572","layer":1},{"info":"compute unary expreesion, input=572, 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":0}],"base":6,"result_base":6,"text":"⨴⫝((∨∊⋏↹⩛10234)⇼⇔∾↹⩛14342⨻⩈⩔↹⩛12113)⩍⋽⫝̸((↹⩛35040⩹↹⩛11012)↸↹⩛34240⊮⊟↴↹⩛33353)=↹⩛140341302","reverse_text":"↹⩛140341302=⨴⫝((∨∊⋏↹⩛10234)⇼⇔∾↹⩛14342⨻⩈⩔↹⩛12113)⩍⋽⫝̸((↹⩛35040⩹↹⩛11012)↸↹⩛34240⊮⊟↴↹⩛33353)","cot":[{"info":"∨∊⋏↹⩛10234=↹⩛233155","layer":3},{"info":"↹⩛14342⨻⩈⩔↹⩛12113=↹⩛114023","layer":3},{"info":"↹⩛233155⇼⇔∾↹⩛114023=↹⩛-115132","layer":2},{"info":"↹⩛35040⩹↹⩛11012=↹⩛11010","layer":3},{"info":"↹⩛34240⊮⊟↴↹⩛33353=↹⩛0","layer":3},{"info":"↹⩛11010↸↹⩛0=↹⩛11010","layer":2},{"info":"↹⩛-115132⩍⋽⫝̸↹⩛11010=↹⩛2352","layer":1},{"info":"⨴⫝↹⩛2352=↹⩛140341302","layer":0}]} +{"id":578,"expression_no_base_symbol":"(∡($8934$⫘$3985$⇩))⩍⋽⫝̸((($7432$⋳⪒$1183$)⊲⩕⊾$4251$↤⩊$9108$)∇⊂⋱(($1935$⋷$4821$)↱$3490$≳⇉$1835$))","expression":"(∡(↹⩛105210⫘↹⩛30241⇩))⩍⋽⫝̸(((↹⩛54224⋳⪒↹⩛5251)⊲⩕⊾↹⩛31403↤⩊↹⩛110100)∇⊂⋱((↹⩛12543⋷↹⩛34153)↱↹⩛24054≳⇉↹⩛12255))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42350047,"operation_count":11,"complexity_ratio":3850004.272727273,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":8934,"base":6},"right_expr":{"type":"numeric_atoms","value":3985,"base":6}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7432,"base":6},"right_expr":{"type":"numeric_atoms","value":1183,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4251,"base":6},"right_expr":{"type":"numeric_atoms","value":9108,"base":6}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1935,"base":6},"right_expr":{"type":"numeric_atoms","value":4821,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3490,"base":6},"right_expr":{"type":"numeric_atoms","value":1835,"base":6}}}}},"used_operators":["BiWNJpBvwn","pRsWfj4Fpp","vRio1gEz1j","48vC8HMD2b","nhYeJWJD5X","DmTXOeWf9t","12rbrZMWeM","13rbtpv6ld","SR5kFfdi6N","23Mk6UjR3U","V0kx6qeWkN"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8934","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=8934, right_input=3985, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=10510789","layer":3},{"info":"compute unary expreesion, input=10510789, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=10510882","layer":2},{"info":"compute unary expreesion, input=10510882, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-10510882","layer":1},{"info":"number node, value=7432","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=7432, right_input=1183, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13394","layer":3},{"info":"number node, value=4251","layer":4},{"info":"number node, value=9108","layer":4},{"info":"compute binary expreesion, left_input=4251, right_input=9108, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13394, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=4821, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7707","layer":3},{"info":"number node, value=3490","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=3490, right_input=1835, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7707, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10510882, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∡(↹⩛105210⫘↹⩛30241⇩))⩍⋽⫝̸(((↹⩛54224⋳⪒↹⩛5251)⊲⩕⊾↹⩛31403↤⩊↹⩛110100)∇⊂⋱((↹⩛12543⋷↹⩛34153)↱↹⩛24054≳⇉↹⩛12255))=NaN","reverse_text":"NaN=(∡(↹⩛105210⫘↹⩛30241⇩))⩍⋽⫝̸(((↹⩛54224⋳⪒↹⩛5251)⊲⩕⊾↹⩛31403↤⩊↹⩛110100)∇⊂⋱((↹⩛12543⋷↹⩛34153)↱↹⩛24054≳⇉↹⩛12255))","cot":[{"info":"↹⩛105210⫘↹⩛30241=↹⩛1013141021","layer":3},{"info":"↹⩛1013141021⇩=↹⩛1013141254","layer":2},{"info":"∡↹⩛1013141254=↹⩛-1013141254","layer":1},{"info":"↹⩛54224⋳⪒↹⩛5251=↹⩛142002","layer":3},{"info":"↹⩛31403↤⩊↹⩛110100=NaN","layer":3},{"info":"↹⩛142002⊲⩕⊾NaN=NaN","layer":2},{"info":"↹⩛12543⋷↹⩛34153=↹⩛55403","layer":3},{"info":"↹⩛24054≳⇉↹⩛12255=NaN","layer":3},{"info":"↹⩛55403↱NaN=NaN","layer":2},{"info":"NaN∇⊂⋱NaN=NaN","layer":1},{"info":"↹⩛-1013141254⩍⋽⫝̸NaN=NaN","layer":0}]} +{"id":579,"expression_no_base_symbol":"((⇘($4794$≹⇙⪍$1990$))↢($1524$≁$1192$)≎⪠($4302$⋩≍≻))⇡⇂((⊖∈$3970$⊋≦⊧$3516$)⇮⋭$2391$⪎↠$1479$⨎$4536$⫉⨲⊜$6057$)","expression":"((⇘(↹⩛34110≹⇙⪍↹⩛13114))↢(↹⩛11020≁↹⩛5304)≎⪠(↹⩛31530⋩≍≻))⇡⇂((⊖∈↹⩛30214⊋≦⊧↹⩛24140)⇮⋭↹⩛15023⪎↠↹⩛10503⨎↹⩛33000⫉⨲⊜↹⩛44013)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":43474,"operation_count":13,"complexity_ratio":3344.153846153846,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4794,"base":6},"right_expr":{"type":"numeric_atoms","value":1990,"base":6}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1524,"base":6},"right_expr":{"type":"numeric_atoms","value":1192,"base":6}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":4302,"base":6}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3970,"base":6},"right_expr":{"type":"numeric_atoms","value":3516,"base":6}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2391,"base":6},"right_expr":{"type":"numeric_atoms","value":1479,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4536,"base":6},"right_expr":{"type":"numeric_atoms","value":6057,"base":6}}}}},"used_operators":["UMwdvZNt44","WR6HLWljOP","MGuIdZPyUC","AHs5Up7iyr","aNhz54LH3e","8N2wDY1A35","WYd1w68Nbz","vkpjKywKVM","YFxL8Sc2Zy","oRDoc9rAEX","rJVOvQCfKK","3tVxb0NHM4","WhqkvtTD3t"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","dWAJyo7jo9","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4794","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=4794, right_input=1990, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1192, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=15407","layer":3},{"info":"number node, value=4302","layer":4},{"info":"compute unary expreesion, input=4302, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=15407, right_input=-55, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"number node, value=3970","layer":4},{"info":"number node, value=3516","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=3516, 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=-6792","layer":3},{"info":"compute unary expreesion, input=-6792, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=924060434","layer":2},{"info":"number node, value=2391","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=1479, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=4536","layer":4},{"info":"number node, value=6057","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=6057, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=924060434, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, 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":6,"result_base":6,"text":"((⇘(↹⩛34110≹⇙⪍↹⩛13114))↢(↹⩛11020≁↹⩛5304)≎⪠(↹⩛31530⋩≍≻))⇡⇂((⊖∈↹⩛30214⊋≦⊧↹⩛24140)⇮⋭↹⩛15023⪎↠↹⩛10503⨎↹⩛33000⫉⨲⊜↹⩛44013)=NaN","reverse_text":"NaN=((⇘(↹⩛34110≹⇙⪍↹⩛13114))↢(↹⩛11020≁↹⩛5304)≎⪠(↹⩛31530⋩≍≻))⇡⇂((⊖∈↹⩛30214⊋≦⊧↹⩛24140)⇮⋭↹⩛15023⪎↠↹⩛10503⨎↹⩛33000⫉⨲⊜↹⩛44013)","cot":[{"info":"↹⩛34110≹⇙⪍↹⩛13114=NaN","layer":3},{"info":"⇘NaN=NaN","layer":2},{"info":"↹⩛11020≁↹⩛5304=↹⩛155155","layer":3},{"info":"↹⩛31530⋩≍≻=↹⩛-131","layer":3},{"info":"↹⩛155155≎⪠↹⩛-131=↹⩛230314","layer":2},{"info":"NaN↢↹⩛230314=NaN","layer":1},{"info":"↹⩛30214⊋≦⊧↹⩛24140=↹⩛-51240","layer":3},{"info":"⊖∈↹⩛-51240=↹⩛231405453322","layer":2},{"info":"↹⩛15023⪎↠↹⩛10503=↹⩛424","layer":3},{"info":"↹⩛33000⫉⨲⊜↹⩛44013=↹⩛0","layer":3},{"info":"↹⩛424⨎↹⩛0=↹⩛0","layer":2},{"info":"↹⩛231405453322⇮⋭↹⩛0=↹⩛-2105","layer":1},{"info":"NaN⇡⇂↹⩛-2105=NaN","layer":0}]} +{"id":580,"expression_no_base_symbol":"((≱⇩⩕$1644$)⩘$1989$⨔⇊$1143$-$1504$⇤$4536$⫥∨⫟(⨦⪝$7452$))∖(≛$7948$≦↸$2385$)∇⊂⋱(($3290$⨳⩥⨓$6651$)⋳⪒($1551$+$1992$))","expression":"((≱⇩⩕↹⩛11340)⩘↹⩛13113⨔⇊↹⩛5143-↹⩛10544⇤↹⩛33000⫥∨⫟(⨦⪝↹⩛54300))∖(≛↹⩛100444≦↸↹⩛15013)∇⊂⋱((↹⩛23122⨳⩥⨓↹⩛50443)⋳⪒(↹⩛11103+↹⩛13120))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":577,"operation_count":14,"complexity_ratio":41.214285714285715,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1644,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1989,"base":6},"right_expr":{"type":"numeric_atoms","value":1143,"base":6}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1504,"base":6},"right_expr":{"type":"numeric_atoms","value":4536,"base":6}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":7452,"base":6}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7948,"base":6},"right_expr":{"type":"numeric_atoms","value":2385,"base":6}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3290,"base":6},"right_expr":{"type":"numeric_atoms","value":6651,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1551,"base":6},"right_expr":{"type":"numeric_atoms","value":1992,"base":6}}}}},"used_operators":["tXD093vOjl","rysDP5nf3Z","cHh1gJQ2o6","3DZMoQKiUl","JclMnS0uGI","KYD54nUTWz","YSKBFp38Pu","SUjycxNXIR","nhYeJWJD5X","W7eaUhjymW","RygbFNSyEJ","12rbrZMWeM","nCS4ZIUYfx","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"compute unary expreesion, input=1644, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1989","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=1143, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1143","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1143, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1504","layer":4},{"info":"number node, value=4536","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=4536, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-27352","layer":3},{"info":"number node, value=7452","layer":4},{"info":"compute unary expreesion, input=7452, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=-27352, right_input=-1884, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7948","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=7948, right_input=2385, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-19985","layer":3},{"info":"compute unary expreesion, input=-19985, 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=-40207","layer":2},{"info":"number node, value=3290","layer":4},{"info":"number node, value=6651","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=6651, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3361","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=1992, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3543","layer":3},{"info":"compute binary expreesion, left_input=3361, right_input=3543, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2892","layer":2},{"info":"compute binary expreesion, left_input=-40207, right_input=2892, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-5784","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5784, 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":6,"result_base":6,"text":"((≱⇩⩕↹⩛11340)⩘↹⩛13113⨔⇊↹⩛5143-↹⩛10544⇤↹⩛33000⫥∨⫟(⨦⪝↹⩛54300))∖(≛↹⩛100444≦↸↹⩛15013)∇⊂⋱((↹⩛23122⨳⩥⨓↹⩛50443)⋳⪒(↹⩛11103+↹⩛13120))=↹⩛0","reverse_text":"↹⩛0=((≱⇩⩕↹⩛11340)⩘↹⩛13113⨔⇊↹⩛5143-↹⩛10544⇤↹⩛33000⫥∨⫟(⨦⪝↹⩛54300))∖(≛↹⩛100444≦↸↹⩛15013)∇⊂⋱((↹⩛23122⨳⩥⨓↹⩛50443)⋳⪒(↹⩛11103+↹⩛13120))","cot":[{"info":"≱⇩⩕↹⩛11340=↹⩛305","layer":3},{"info":"↹⩛13113⨔⇊↹⩛5143=↹⩛5143","layer":3},{"info":"↹⩛305⩘↹⩛5143=↹⩛424","layer":2},{"info":"↹⩛10544⇤↹⩛33000=↹⩛-330344","layer":3},{"info":"⨦⪝↹⩛54300=↹⩛-12420","layer":3},{"info":"↹⩛-330344⫥∨⫟↹⩛-12420=NaN","layer":2},{"info":"↹⩛424-NaN=NaN","layer":1},{"info":"↹⩛100444≦↸↹⩛15013=↹⩛-232305","layer":3},{"info":"≛↹⩛-232305=↹⩛-510051","layer":2},{"info":"↹⩛23122⨳⩥⨓↹⩛50443=↹⩛23321","layer":3},{"info":"↹⩛11103+↹⩛13120=↹⩛24223","layer":3},{"info":"↹⩛23321⋳⪒↹⩛24223=↹⩛21220","layer":2},{"info":"↹⩛-510051∇⊂⋱↹⩛21220=↹⩛-42440","layer":1},{"info":"NaN∖↹⩛-42440=↹⩛0","layer":0}]} +{"id":581,"expression_no_base_symbol":"($6375$⨭⪣$4430$)⨂≜($1019$⪭$2465$)≚⊃≕(($4359$↡⊰⫅$3103$)⪶≀⋏$2919$⇷$5931$)⊲⩕⊾(($1325$⋭≵$3104$∕⩚$2306$⨑≵⋬$7106$)≓∲($3539$⫃⨇$1047$)↙$4527$⋓$1733$)","expression":"(↹⩛45303⨭⪣↹⩛32302)⨂≜(↹⩛4415⪭↹⩛15225)≚⊃≕((↹⩛32103↡⊰⫅↹⩛22211)⪶≀⋏↹⩛21303⇷↹⩛43243)⊲⩕⊾((↹⩛10045⋭≵↹⩛22212∕⩚↹⩛14402⨑≵⋬↹⩛52522)≓∲(↹⩛24215⫃⨇↹⩛4503)↙↹⩛32543⋓↹⩛12005)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":95900,"operation_count":15,"complexity_ratio":6393.333333333333,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6375,"base":6},"right_expr":{"type":"numeric_atoms","value":4430,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1019,"base":6},"right_expr":{"type":"numeric_atoms","value":2465,"base":6}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4359,"base":6},"right_expr":{"type":"numeric_atoms","value":3103,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2919,"base":6},"right_expr":{"type":"numeric_atoms","value":5931,"base":6}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1325,"base":6},"right_expr":{"type":"numeric_atoms","value":3104,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2306,"base":6},"right_expr":{"type":"numeric_atoms","value":7106,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3539,"base":6},"right_expr":{"type":"numeric_atoms","value":1047,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4527,"base":6},"right_expr":{"type":"numeric_atoms","value":1733,"base":6}}}}},"used_operators":["DmTXOeWf9t","Bmrmz2XGnR","k1SHOSEABc","kn8WO9XteQ","j9kHMeSvPp","zR4jO40bMj","VCtxkLNOzz","mp7IySMOzn","s1XTVnmDOJ","z9ffQ9n5Zr","jBncVCNhdl","XnXgA4xnOs","yyfyN0ffXY","09Ly4LVMIf","T2fj7uvVaJ"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6375","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=6375, right_input=4430, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5096","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=2465, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=5096, right_input=5, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=4359","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=4359, right_input=3103, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁���966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6206","layer":3},{"info":"number node, value=2919","layer":4},{"info":"number node, value=5931","layer":4},{"info":"compute binary expreesion, left_input=2919, right_input=5931, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11862","layer":3},{"info":"compute binary expreesion, left_input=6206, right_input=11862, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-42574","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42574, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":1},{"info":"number node, value=1325","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=3104, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2306","layer":4},{"info":"number node, value=7106","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=7106, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36833","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-36833, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=3539","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3539, right_input=1047, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4220","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=1733, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4220, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4220","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=-4220, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45303⨭⪣↹⩛32302)⨂≜(↹⩛4415⪭↹⩛15225)≚⊃≕((↹⩛32103↡⊰⫅↹⩛22211)⪶≀⋏↹⩛21303⇷↹⩛43243)⊲⩕⊾((↹⩛10045⋭≵↹⩛22212∕⩚↹⩛14402⨑≵⋬↹⩛52522)≓∲(↹⩛24215⫃⨇↹⩛4503)↙↹⩛32543⋓↹⩛12005)=NaN","reverse_text":"NaN=(↹⩛45303⨭⪣↹⩛32302)⨂≜(↹⩛4415⪭↹⩛15225)≚⊃≕((↹⩛32103↡⊰⫅↹⩛22211)⪶≀⋏↹⩛21303⇷↹⩛43243)⊲⩕⊾((↹⩛10045⋭≵↹⩛22212∕⩚↹⩛14402⨑≵⋬↹⩛52522)≓∲(↹⩛24215⫃⨇↹⩛4503)↙↹⩛32543⋓↹⩛12005)","cot":[{"info":"↹⩛45303⨭⪣↹⩛32302=↹⩛35332","layer":3},{"info":"↹⩛4415⪭↹⩛15225=↹⩛5","layer":3},{"info":"↹⩛35332⨂≜↹⩛5=NaN","layer":2},{"info":"↹⩛32103↡⊰⫅↹⩛22211=↹⩛44422","layer":3},{"info":"↹⩛21303⇷↹⩛43243=↹⩛130530","layer":3},{"info":"↹⩛44422⪶≀⋏↹⩛130530=↹⩛-525034","layer":2},{"info":"NaN≚⊃≕↹⩛-525034=NaN","layer":1},{"info":"↹⩛10045⋭≵↹⩛22212=↹⩛151","layer":3},{"info":"↹⩛14402⨑≵⋬↹⩛52522=↹⩛-442305","layer":3},{"info":"↹⩛151∕⩚↹⩛-442305=↹⩛-2131","layer":2},{"info":"↹⩛24215⫃⨇↹⩛4503=↹⩛-31312","layer":3},{"info":"↹⩛32543⋓↹⩛12005=↹⩛0","layer":3},{"info":"↹⩛-31312↙↹⩛0=↹⩛-31312","layer":2},{"info":"↹⩛-2131≓∲↹⩛-31312=↹⩛151","layer":1},{"info":"NaN⊲⩕⊾↹⩛151=NaN","layer":0}]} +{"id":582,"expression_no_base_symbol":"(→⩰(⇈$2072$)≄⊠$1597$⨥⫆$1956$)⫩⊇","expression":"(→⩰(⇈↹⩛13332)≄⊠↹⩛11221⨥⫆↹⩛13020)⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":66745,"operation_count":5,"complexity_ratio":13349.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2072,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1597,"base":6},"right_expr":{"type":"numeric_atoms","value":1956,"base":6}}}}},"used_operators":["BjRHVeLaeN","o8Pngz0Tml","vXNesLlMH1","SLLxy00UIr","yXekIHxTD4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"compute unary expreesion, input=2072, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1597","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=1956, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3788","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3788, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=65276","layer":2},{"info":"compute unary expreesion, input=65276, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(→⩰(⇈↹⩛13332)≄⊠↹⩛11221⨥⫆↹⩛13020)⫩⊇=NaN","reverse_text":"NaN=(→⩰(⇈↹⩛13332)≄⊠↹⩛11221⨥⫆↹⩛13020)⫩⊇","cot":[{"info":"⇈↹⩛13332=↹⩛-2023","layer":3},{"info":"↹⩛11221⨥⫆↹⩛13020=↹⩛25312","layer":3},{"info":"↹⩛-2023≄⊠↹⩛25312=↹⩛1222112","layer":2},{"info":"→⩰↹⩛1222112=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]} +{"id":583,"expression_no_base_symbol":"(⪛⨧($1928$⪨≂$2041$))⨔⇊(+⊝⨔($3804$⩒⫫$1011$))≦≮≮","expression":"(⪛⨧(↹⩛12532⪨≂↹⩛13241))⨔⇊(+⊝⨔(↹⩛25340⩒⫫↹⩛4403))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":80,"operation_count":6,"complexity_ratio":13.333333333333334,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1928,"base":6},"right_expr":{"type":"numeric_atoms","value":2041,"base":6}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3804,"base":6},"right_expr":{"type":"numeric_atoms","value":1011,"base":6}}}}},"used_operators":["D4vGDi5EA2","JclMnS0uGI","6NJAcO2OWT","sdazOOVcIp","DhbWaqg5eL","KFSx94NKJn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛-33050","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=2041, 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=-124","layer":3},{"info":"compute unary expreesion, input=-124, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1153","layer":2},{"info":"number node, value=3804","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=1011, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3502","layer":3},{"info":"compute unary expreesion, input=3502, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=1522, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4566","layer":0}],"base":6,"result_base":6,"text":"(⪛⨧(↹⩛12532⪨≂↹⩛13241))⨔⇊(+⊝⨔(↹⩛25340⩒⫫↹⩛4403))≦≮≮=↹⩛-33050","reverse_text":"↹⩛-33050=(⪛⨧(↹⩛12532⪨≂↹⩛13241))⨔⇊(+⊝⨔(↹⩛25340⩒⫫↹⩛4403))≦≮≮","cot":[{"info":"↹⩛12532⪨≂↹⩛13241=↹⩛-324","layer":3},{"info":"⪛⨧↹⩛-324=↹⩛5201","layer":2},{"info":"↹⩛25340⩒⫫↹⩛4403=↹⩛24114","layer":3},{"info":"+⊝⨔↹⩛24114=↹⩛11014","layer":2},{"info":"↹⩛5201⨔⇊↹⩛11014=↹⩛11014","layer":1},{"info":"↹⩛11014≦≮≮=↹⩛-33050","layer":0}]} +{"id":584,"expression_no_base_symbol":"((($3978$⫍⨯↯)⇼⇔∾(⇖⫷⫕$2115$))⩵∡$2868$⪃⊛⇣$5072$⇌⫙⪟($2213$⋾⨃∁$5219$))↢((⪓⩚$2613$)⪇≇⋚($4562$⨭⪣$5721$)⫦⪉($1625$⪭$2391$)⊱⇼⊻($7382$⨐⩸⫘$5962$))","expression":"(((↹⩛30230⫍⨯↯)⇼⇔∾(⇖⫷⫕↹⩛13443))⩵∡↹⩛21140⪃⊛⇣↹⩛35252⇌⫙⪟(↹⩛14125⋾⨃∁↹⩛40055))↢((⪓⩚↹⩛20033)⪇≇⋚(↹⩛33042⨭⪣↹⩛42253)⫦⪉(↹⩛11305⪭↹⩛15023)⊱⇼⊻(↹⩛54102⨐⩸⫘↹⩛43334))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10058,"operation_count":15,"complexity_ratio":670.5333333333333,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":3978,"base":6}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2115,"base":6}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2868,"base":6},"right_expr":{"type":"numeric_atoms","value":5072,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2213,"base":6},"right_expr":{"type":"numeric_atoms","value":5219,"base":6}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2613,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4562,"base":6},"right_expr":{"type":"numeric_atoms","value":5721,"base":6}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1625,"base":6},"right_expr":{"type":"numeric_atoms","value":2391,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7382,"base":6},"right_expr":{"type":"numeric_atoms","value":5962,"base":6}}}}},"used_operators":["WR6HLWljOP","Y7wcNGrDQJ","tifHPKVTfV","ZcwmYACASQ","UHmRx3INFg","AFVx7xoS7T","rrgAzCduG9","212REbPD9h","wscyQdcy20","3sJ7IOPOlU","u0R0Locfp2","kn8WO9XteQ","FyVja0WsTP","j9kHMeSvPp","fu6greOZ01"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","COABgblf1C","xUOZtlo3hN","3ViojmjbAp"],"result":"↹⩛21153","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3978","layer":4},{"info":"compute unary expreesion, input=3978, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=3945","layer":3},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=3945, right_input=2822, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1123","layer":2},{"info":"number node, value=2868","layer":4},{"info":"number node, value=5072","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=5072, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2213","layer":4},{"info":"number node, value=5219","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=5219, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=272316888","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=272316888, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-1123, right_input=113, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3361","layer":1},{"info":"number node, value=2613","layer":4},{"info":"compute unary expreesion, input=2613, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=4562","layer":4},{"info":"number node, value=5721","layer":4},{"info":"compute binary expreesion, left_input=4562, right_input=5721, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3283","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=3283, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1625","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=2391, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=7382","layer":4},{"info":"number node, value=5962","layer":4},{"info":"compute binary expreesion, left_input=7382, right_input=5962, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=184","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=184, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":1},{"info":"compute binary expreesion, left_input=3361, right_input=4900, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2877","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛30230⫍⨯↯)⇼⇔∾(⇖⫷⫕↹⩛13443))⩵∡↹⩛21140⪃⊛⇣↹⩛35252⇌⫙⪟(↹⩛14125⋾⨃∁↹⩛40055))↢((⪓⩚↹⩛20033)⪇≇⋚(↹⩛33042⨭⪣↹⩛42253)⫦⪉(↹⩛11305⪭↹⩛15023)⊱⇼⊻(↹⩛54102⨐⩸⫘↹⩛43334))=↹⩛21153","reverse_text":"↹⩛21153=(((↹⩛30230⫍⨯↯)⇼⇔∾(⇖⫷⫕↹⩛13443))⩵∡↹⩛21140⪃⊛⇣↹⩛35252⇌⫙⪟(↹⩛14125⋾⨃∁↹⩛40055))↢((⪓⩚↹⩛20033)⪇≇⋚(↹⩛33042⨭⪣↹⩛42253)⫦⪉(↹⩛11305⪭↹⩛15023)⊱⇼⊻(↹⩛54102⨐⩸⫘↹⩛43334))","cot":[{"info":"↹⩛30230⫍⨯↯=↹⩛30133","layer":3},{"info":"⇖⫷⫕↹⩛13443=↹⩛21022","layer":3},{"info":"↹⩛30133⇼⇔∾↹⩛21022=↹⩛-5111","layer":2},{"info":"↹⩛21140⪃⊛⇣↹⩛35252=↹⩛5414","layer":3},{"info":"↹⩛14125⋾⨃∁↹⩛40055=↹⩛43004410200","layer":3},{"info":"↹⩛5414⇌⫙⪟↹⩛43004410200=↹⩛305","layer":2},{"info":"↹⩛-5111⩵∡↹⩛305=↹⩛23321","layer":1},{"info":"⪓⩚↹⩛20033=↹⩛1550","layer":3},{"info":"↹⩛33042⨭⪣↹⩛42253=↹⩛23111","layer":3},{"info":"↹⩛1550⪇≇⋚↹⩛23111=↹⩛0","layer":2},{"info":"↹⩛11305⪭↹⩛15023=↹⩛5","layer":3},{"info":"↹⩛54102⨐⩸⫘↹⩛43334=NaN","layer":3},{"info":"↹⩛5⊱⇼⊻NaN=↹⩛504","layer":2},{"info":"↹⩛0⫦⪉↹⩛504=↹⩛34404","layer":1},{"info":"↹⩛23321↢↹⩛34404=↹⩛21153","layer":0}]} +{"id":585,"expression_no_base_symbol":"⨩∲⋌((($1158$∪⫐$3715$)∑⇟⊟($4625$⩚⊴⇥$5840$))⩖⊿($1350$⨰$6216$⊉≛↸$1072$∳⫺$2239$))","expression":"⨩∲⋌(((↹⩛5210∪⫐↹⩛25111)∑⇟⊟(↹⩛33225⩚⊴⇥↹⩛43012))⩖⊿(↹⩛10130⨰↹⩛44440⊉≛↸↹⩛4544∳⫺↹⩛14211))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":107,"operation_count":8,"complexity_ratio":13.375,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1158,"base":6},"right_expr":{"type":"numeric_atoms","value":3715,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4625,"base":6},"right_expr":{"type":"numeric_atoms","value":5840,"base":6}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1350,"base":6},"right_expr":{"type":"numeric_atoms","value":6216,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1072,"base":6},"right_expr":{"type":"numeric_atoms","value":2239,"base":6}}}}},"used_operators":["aSik1wnThz","RZ5CV9rWsJ","U7g4x0WXJJ","7YooWSwCyH","NTOWxs364D","DZ8iAZOCBD","eewbuw0ToL","AzXXKTstlj"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=3715, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1158","layer":3},{"info":"number node, value=4625","layer":4},{"info":"number node, value=5840","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=5840, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10586","layer":3},{"info":"compute binary expreesion, left_input=1158, right_input=-10586, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1350","layer":4},{"info":"number node, value=6216","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=6216, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4856","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2239, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-4856, right_input=-260, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=260, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨩∲⋌(((↹⩛5210∪⫐↹⩛25111)∑⇟⊟(↹⩛33225⩚⊴⇥↹⩛43012))⩖⊿(↹⩛10130⨰↹⩛44440⊉≛↸↹⩛4544∳⫺↹⩛14211))=NaN","reverse_text":"NaN=⨩∲⋌(((↹⩛5210∪⫐↹⩛25111)∑⇟⊟(↹⩛33225⩚⊴⇥↹⩛43012))⩖⊿(↹⩛10130⨰↹⩛44440⊉≛↸↹⩛4544∳⫺↹⩛14211))","cot":[{"info":"↹⩛5210∪⫐↹⩛25111=↹⩛5210","layer":3},{"info":"↹⩛33225⩚⊴⇥↹⩛43012=↹⩛-121002","layer":3},{"info":"↹⩛5210∑⇟⊟↹⩛-121002=NaN","layer":2},{"info":"↹⩛10130⨰↹⩛44440=↹⩛-34252","layer":3},{"info":"↹⩛4544∳⫺↹⩛14211=↹⩛-1112","layer":3},{"info":"↹⩛-34252⊉≛↸↹⩛-1112=↹⩛1112","layer":2},{"info":"NaN⩖⊿↹⩛1112=NaN","layer":1},{"info":"⨩∲⋌NaN=NaN","layer":0}]} +{"id":586,"expression_no_base_symbol":"⇾⩊⇾((($3287$∖$2488$)⪛(≅≯⇸$1219$))∘(⇋↷$2769$⪬$1549$))","expression":"⇾⩊⇾(((↹⩛23115∖↹⩛15304)⪛(≅≯⇸↹⩛5351))∘(⇋↷↹⩛20453⪬↹⩛11101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":991,"operation_count":7,"complexity_ratio":141.57142857142858,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3287,"base":6},"right_expr":{"type":"numeric_atoms","value":2488,"base":6}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1219,"base":6}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2769,"base":6},"right_expr":{"type":"numeric_atoms","value":1549,"base":6}}}}},"used_operators":["bx9Z9DAK5y","Z5m6OM72h2","uFcxV4UQCh","tXD093vOjl","apS25hmuAe","SWo3A1KBJH","Ez1Nq5fNfI"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","EBcxylXtPf","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"↹⩛-50010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3287","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=2488, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=12553","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12553, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=2769","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=1549, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9872, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":0}],"base":6,"result_base":6,"text":"⇾⩊⇾(((↹⩛23115∖↹⩛15304)⪛(≅≯⇸↹⩛5351))∘(⇋↷↹⩛20453⪬↹⩛11101))=↹⩛-50010","reverse_text":"↹⩛-50010=⇾⩊⇾(((↹⩛23115∖↹⩛15304)⪛(≅≯⇸↹⩛5351))∘(⇋↷↹⩛20453⪬↹⩛11101))","cot":[{"info":"↹⩛23115∖↹⩛15304=↹⩛0","layer":3},{"info":"≅≯⇸↹⩛5351=↹⩛134041","layer":3},{"info":"↹⩛0⪛↹⩛134041=↹⩛0","layer":2},{"info":"↹⩛20453⪬↹⩛11101=↹⩛5414","layer":3},{"info":"⇋↷↹⩛5414=↹⩛113412","layer":2},{"info":"↹⩛0∘↹⩛113412=↹⩛0","layer":1},{"info":"⇾⩊⇾↹⩛0=↹⩛-50010","layer":0}]} +{"id":587,"expression_no_base_symbol":"∤↝($1019$⨸$1598$⋻⩜⩜$5423$⨟⋌⩍$1111$⊓⋫)","expression":"∤↝(↹⩛4415⨸↹⩛11222⋻⩜⩜↹⩛41035⨟⋌⩍↹⩛5051⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1163,"operation_count":5,"complexity_ratio":232.6,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1019,"base":6},"right_expr":{"type":"numeric_atoms","value":1598,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5423,"base":6},"right_expr":{"type":"numeric_atoms","value":1111,"base":6}}}}},"used_operators":["3UMq87Qwqg","IqGBaFP0uj","oDCm7WA9JY","KmoU8R5UQR","rGHVDoGpnC"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Tcnh7f0tEr"],"result":"↹⩛-31244","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1598, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2038","layer":3},{"info":"number node, value=5423","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=5423, right_input=1111, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2038, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4076","layer":2},{"info":"compute unary expreesion, input=4076, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-4204","layer":1},{"info":"compute unary expreesion, input=-4204, 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=-4204","layer":0}],"base":6,"result_base":6,"text":"∤↝(↹⩛4415⨸↹⩛11222⋻⩜⩜↹⩛41035⨟⋌⩍↹⩛5051⊓⋫)=↹⩛-31244","reverse_text":"↹⩛-31244=∤↝(↹⩛4415⨸↹⩛11222⋻⩜⩜↹⩛41035⨟⋌⩍↹⩛5051⊓⋫)","cot":[{"info":"↹⩛4415⨸↹⩛11222=↹⩛13234","layer":3},{"info":"↹⩛41035⨟⋌⩍↹⩛5051=NaN","layer":3},{"info":"↹⩛13234⋻⩜⩜NaN=↹⩛30512","layer":2},{"info":"↹⩛30512⊓⋫=↹⩛-31244","layer":1},{"info":"∤↝↹⩛-31244=↹⩛-31244","layer":0}]} +{"id":588,"expression_no_base_symbol":"((⩷$4040$)∌↝($3590$⇋≉)⇴∐(⩷⨜⫀(∨∊⋏$1141$)))∀⇚≩(∜⨇(⩷($5820$≄⊠$1949$)))","expression":"((⩷↹⩛30412)∌↝(↹⩛24342⇋≉)⇴∐(⩷⨜⫀(∨∊⋏↹⩛5141)))∀⇚≩(∜⨇(⩷(↹⩛42540≄⊠↹⩛13005)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1073,"operation_count":10,"complexity_ratio":107.3,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4040,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3590,"base":6}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1141,"base":6}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5820,"base":6},"right_expr":{"type":"numeric_atoms","value":1949,"base":6}}}}},"used_operators":["LRNGc0VcxI","HnzytWxmAO","9Isq31Ruls","1h0rLqGiFr","XIabStNQrY","CDi0ktkjQ4","R5aXW34M0v","uFPyJr306J","vXNesLlMH1"],"dependent_operators":["X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4040","layer":4},{"info":"compute unary expreesion, input=4040, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-48559","layer":3},{"info":"number node, value=3590","layer":4},{"info":"compute unary expreesion, input=3590, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7082","layer":3},{"info":"compute binary expreesion, left_input=-48559, right_input=7082, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-21246","layer":2},{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=14183","layer":3},{"info":"compute unary expreesion, input=14183, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-13910","layer":2},{"info":"compute binary expreesion, left_input=-21246, right_input=-13910, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"number node, value=5820","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=5820, right_input=1949, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=35852","layer":3},{"info":"compute unary expreesion, input=35852, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-430303","layer":2},{"info":"compute unary expreesion, input=-430303, 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=-116, 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":6,"result_base":6,"text":"((⩷↹⩛30412)∌↝(↹⩛24342⇋≉)⇴∐(⩷⨜⫀(∨∊⋏↹⩛5141)))∀⇚≩(∜⨇(⩷(↹⩛42540≄⊠↹⩛13005)))=NaN","reverse_text":"NaN=((⩷↹⩛30412)∌↝(↹⩛24342⇋≉)⇴∐(⩷⨜⫀(∨∊⋏↹⩛5141)))∀⇚≩(∜⨇(⩷(↹⩛42540≄⊠↹⩛13005)))","cot":[{"info":"⩷↹⩛30412=↹⩛-1012451","layer":3},{"info":"↹⩛24342⇋≉=↹⩛52442","layer":3},{"info":"↹⩛-1012451∌↝↹⩛52442=↹⩛-242210","layer":2},{"info":"∨∊⋏↹⩛5141=↹⩛145355","layer":3},{"info":"⩷⨜⫀↹⩛145355=↹⩛-144222","layer":2},{"info":"↹⩛-242210⇴∐↹⩛-144222=↹⩛-312","layer":1},{"info":"↹⩛42540≄⊠↹⩛13005=↹⩛433552","layer":3},{"info":"⩷↹⩛433552=↹⩛-13120051","layer":2},{"info":"∜⨇↹⩛-13120051=NaN","layer":1},{"info":"↹⩛-312∀⇚≩NaN=NaN","layer":0}]} +{"id":589,"expression_no_base_symbol":"(⨰⫟⨤($6351$≎⊠⪸$5524$))⪛⫼($1606$⨵⪆$3376$)⋕⪉⪜($1885$→⨶⪴$1435$)↺(≯(($1407$↙$1599$)⇌⫙⪟$5310$⪔⊥$4126$))","expression":"(⨰⫟⨤(↹⩛45223≎⊠⪸↹⩛41324))⪛⫼(↹⩛11234⨵⪆↹⩛23344)⋕⪉⪜(↹⩛12421→⨶⪴↹⩛10351)↺(≯((↹⩛10303↙↹⩛11223)⇌⫙⪟↹⩛40330⪔⊥↹⩛31034))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3290036,"operation_count":11,"complexity_ratio":299094.1818181818,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6351,"base":6},"right_expr":{"type":"numeric_atoms","value":5524,"base":6}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1606,"base":6},"right_expr":{"type":"numeric_atoms","value":3376,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1885,"base":6},"right_expr":{"type":"numeric_atoms","value":1435,"base":6}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1407,"base":6},"right_expr":{"type":"numeric_atoms","value":1599,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5310,"base":6},"right_expr":{"type":"numeric_atoms","value":4126,"base":6}}}}},"used_operators":["7j4O788W3g","hyuBjUqXlG","Tw270M8GLb","bJkvcejdHO","z6LnFrNh4i","2DQ55sFlQl","bF6eod5Gvf","keWfFq85dY","AFVx7xoS7T","yyfyN0ffXY","HJ9erzHUuu"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","JLbD19bQDL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6351","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=6351, right_input=5524, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1644436","layer":3},{"info":"compute unary expreesion, input=1644436, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=3376, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1885","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=1435, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4305","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4305, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = 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=1407","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1599, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4797","layer":3},{"info":"number node, value=5310","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=5310, right_input=4126, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=12789","layer":3},{"info":"compute binary expreesion, left_input=-4797, right_input=12789, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⨰⫟⨤(↹⩛45223≎⊠⪸↹⩛41324))⪛⫼(↹⩛11234⨵⪆↹⩛23344)⋕⪉⪜(↹⩛12421→⨶⪴↹⩛10351)↺(≯((↹⩛10303↙↹⩛11223)⇌⫙⪟↹⩛40330⪔⊥↹⩛31034))=↹⩛0","reverse_text":"↹⩛0=(⨰⫟⨤(↹⩛45223≎⊠⪸↹⩛41324))⪛⫼(↹⩛11234⨵⪆↹⩛23344)⋕⪉⪜(↹⩛12421→⨶⪴↹⩛10351)↺(≯((↹⩛10303↙↹⩛11223)⇌⫙⪟↹⩛40330⪔⊥↹⩛31034))","cot":[{"info":"↹⩛45223≎⊠⪸↹⩛41324=↹⩛55125044","layer":3},{"info":"⨰⫟⨤↹⩛55125044=NaN","layer":2},{"info":"↹⩛11234⨵⪆↹⩛23344=↹⩛424","layer":3},{"info":"↹⩛12421→⨶⪴↹⩛10351=↹⩛-31533","layer":3},{"info":"↹⩛424⋕⪉⪜↹⩛-31533=↹⩛20550","layer":2},{"info":"NaN⪛⫼↹⩛20550=↹⩛4252","layer":1},{"info":"↹⩛10303↙↹⩛11223=↹⩛-34113","layer":3},{"info":"↹⩛40330⪔⊥↹⩛31034=↹⩛135113","layer":3},{"info":"↹⩛-34113⇌⫙⪟↹⩛135113=↹⩛305","layer":2},{"info":"≯↹⩛305=↹⩛0","layer":1},{"info":"↹⩛4252↺↹⩛0=↹⩛0","layer":0}]} +{"id":590,"expression_no_base_symbol":"($5065$⇗⋫)≴⪞⇿($3911$≒∊$1783$)∠⫱($1419$∁)∺≝⩲(≉$7565$)∲⫓(⫎≠⋺(($1095$⩹$2264$)↙($6157$⪒$2017$)))","expression":"(↹⩛35241⇗⋫)≴⪞⇿(↹⩛30035≒∊↹⩛12131)∠⫱(↹⩛10323∁)∺≝⩲(≉↹⩛55005)∲⫓(⫎≠⋺((↹⩛5023⩹↹⩛14252)↙(↹⩛44301⪒↹⩛13201)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8274,"operation_count":12,"complexity_ratio":689.5,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":5065,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3911,"base":6},"right_expr":{"type":"numeric_atoms","value":1783,"base":6}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1419,"base":6}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7565,"base":6}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1095,"base":6},"right_expr":{"type":"numeric_atoms","value":2264,"base":6}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6157,"base":6},"right_expr":{"type":"numeric_atoms","value":2017,"base":6}}}}},"used_operators":["i8ToyICDmI","QvoQhV0rrE","lvlrscuwVU","hpqmaQFPrd","5KTvxBwnZo","KPf6cnQVty","jdwGQqwJi5","e1ybzncUwg","LYeZOJ0nQG","yyfyN0ffXY","2Wsdkap16l","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rxpJgHHUmx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5065","layer":4},{"info":"compute unary expreesion, input=5065, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=3911","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=1783, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3427","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3427, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1419","layer":3},{"info":"number node, value=7565","layer":4},{"info":"compute unary expreesion, input=7565, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8096","layer":3},{"info":"compute binary expreesion, left_input=1419, right_input=8096, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=1095","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2264, 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=2262","layer":3},{"info":"number node, value=6157","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=6157, right_input=2017, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8174","layer":3},{"info":"compute binary expreesion, left_input=2262, right_input=-8174, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=24522","layer":2},{"info":"compute unary expreesion, input=24522, 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=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35241⇗⋫)≴⪞⇿(↹⩛30035≒∊↹⩛12131)∠⫱(↹⩛10323∁)∺≝⩲(≉↹⩛55005)∲⫓(⫎≠⋺((↹⩛5023⩹↹⩛14252)↙(↹⩛44301⪒↹⩛13201)))=NaN","reverse_text":"NaN=(↹⩛35241⇗⋫)≴⪞⇿(↹⩛30035≒∊↹⩛12131)∠⫱(↹⩛10323∁)∺≝⩲(≉↹⩛55005)∲⫓(⫎≠⋺((↹⩛5023⩹↹⩛14252)↙(↹⩛44301⪒↹⩛13201)))","cot":[{"info":"↹⩛35241⇗⋫=NaN","layer":3},{"info":"↹⩛30035≒∊↹⩛12131=↹⩛-23511","layer":3},{"info":"NaN≴⪞⇿↹⩛-23511=NaN","layer":2},{"info":"↹⩛10323∁=↹⩛10323","layer":3},{"info":"≉↹⩛55005=↹⩛101252","layer":3},{"info":"↹⩛10323∺≝⩲↹⩛101252=↹⩛424","layer":2},{"info":"NaN∠⫱↹⩛424=NaN","layer":1},{"info":"↹⩛5023⩹↹⩛14252=↹⩛14250","layer":3},{"info":"↹⩛44301⪒↹⩛13201=↹⩛-101502","layer":3},{"info":"↹⩛14250↙↹⩛-101502=↹⩛305310","layer":2},{"info":"⫎≠⋺↹⩛305310=↹⩛0","layer":1},{"info":"NaN∲⫓↹⩛0=NaN","layer":0}]} +{"id":591,"expression_no_base_symbol":"(($1221$⇷$3355$)≝⊿($1553$⇟⨁⪰)⩨(⇈($1148$⩌⋺$2874$)))≬⇓($2193$∇⊂⋱$3617$≫≃)⨼⩣(($5172$⪨⊡$6497$)⨌↪)","expression":"((↹⩛5353⇷↹⩛23311)≝⊿(↹⩛11105⇟⨁⪰)⩨(⇈(↹⩛5152⩌⋺↹⩛21150)))≬⇓(↹⩛14053∇⊂⋱↹⩛24425≫≃)⨼⩣((↹⩛35540⪨⊡↹⩛50025)⨌↪)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20026,"operation_count":12,"complexity_ratio":1668.8333333333333,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1221,"base":6},"right_expr":{"type":"numeric_atoms","value":3355,"base":6}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1553,"base":6}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1148,"base":6},"right_expr":{"type":"numeric_atoms","value":2874,"base":6}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2193,"base":6},"right_expr":{"type":"numeric_atoms","value":3617,"base":6}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5172,"base":6},"right_expr":{"type":"numeric_atoms","value":6497,"base":6}}}}},"used_operators":["jWTQ2TZYIH","2DlMacCsIx","OKKcZfAt5B","mp7IySMOzn","BX1lVwlMe0","SLLxy00UIr","g7Hmc5v1ko","JxwMv5le6e","X99M06cbEe","nhYeJWJD5X","cWQsF5MvuD","kuIXHzHcAH"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=3355, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6710","layer":3},{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1727","layer":3},{"info":"compute binary expreesion, left_input=6710, right_input=-1727, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-3789","layer":2},{"info":"number node, value=1148","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=2874, 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=-4143","layer":3},{"info":"compute unary expreesion, input=-4143, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-3789, right_input=-447, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=2193","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=2193, right_input=3617, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3840","layer":3},{"info":"compute unary expreesion, input=3840, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9081","layer":2},{"info":"number node, value=5172","layer":4},{"info":"number node, value=6497","layer":4},{"info":"compute binary expreesion, left_input=5172, right_input=6497, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=9081, right_input=-480, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5353⇷↹⩛23311)≝⊿(↹⩛11105⇟⨁⪰)⩨(⇈(↹⩛5152⩌⋺↹⩛21150)))≬⇓(↹⩛14053∇⊂⋱↹⩛24425≫≃)⨼⩣((↹⩛35540⪨⊡↹⩛50025)⨌↪)=↹⩛0","reverse_text":"↹⩛0=((↹⩛5353⇷↹⩛23311)≝⊿(↹⩛11105⇟⨁⪰)⩨(⇈(↹⩛5152⩌⋺↹⩛21150)))≬⇓(↹⩛14053∇⊂⋱↹⩛24425≫≃)⨼⩣((↹⩛35540⪨⊡↹⩛50025)⨌↪)","cot":[{"info":"↹⩛5353⇷↹⩛23311=↹⩛51022","layer":3},{"info":"↹⩛11105⇟⨁⪰=↹⩛-11555","layer":3},{"info":"↹⩛51022≝⊿↹⩛-11555=↹⩛-25313","layer":2},{"info":"↹⩛5152⩌⋺↹⩛21150=↹⩛-31103","layer":3},{"info":"⇈↹⩛-31103=↹⩛-2023","layer":2},{"info":"↹⩛-25313⩨↹⩛-2023=↹⩛0","layer":1},{"info":"↹⩛14053∇⊂⋱↹⩛24425=↹⩛25440","layer":3},{"info":"↹⩛25440≫≃=↹⩛110013","layer":2},{"info":"↹⩛35540⪨⊡↹⩛50025=↹⩛0","layer":3},{"info":"↹⩛0⨌↪=↹⩛-2120","layer":2},{"info":"↹⩛110013⨼⩣↹⩛-2120=NaN","layer":1},{"info":"↹⩛0≬⇓NaN=↹⩛0","layer":0}]} +{"id":592,"expression_no_base_symbol":"(≑⋹(($3129$⨫⇇↔$4971$)⪟⇏(⇤←$1167$)))⫳≱↱(($1148$⩚⊴⇥$2585$)≁↽≥($2583$⨥⫆$5962$)⊍⩺⋍$1000$⪎↠$5871$↳∿⪆($3229$⪒$2632$))","expression":"(≑⋹((↹⩛22253⨫⇇↔↹⩛35003)⪟⇏(⇤←↹��5223)))⫳≱↱((↹⩛5152⩚⊴⇥↹⩛15545)≁↽≥(↹⩛15543⨥⫆↹⩛43334)⊍⩺⋍↹⩛4344⪎↠↹⩛43103↳∿⪆(↹⩛22541⪒↹⩛20104))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3212,"operation_count":12,"complexity_ratio":267.6666666666667,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3129,"base":6},"right_expr":{"type":"numeric_atoms","value":4971,"base":6}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1167,"base":6}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1148,"base":6},"right_expr":{"type":"numeric_atoms","value":2585,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2583,"base":6},"right_expr":{"type":"numeric_atoms","value":5962,"base":6}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":5871,"base":6}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3229,"base":6},"right_expr":{"type":"numeric_atoms","value":2632,"base":6}}}}},"used_operators":["ZvLB05nZmT","6B9nyZLogK","GODebY97qR","LXhwmt4mBO","jfAgQ2OQeM","OXDGMFPWZM","ncHt1X6cMc","NTOWxs364D","yXekIHxTD4","Cw4SuJJGHO","3tVxb0NHM4","f6k1SAg4EE"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-20550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3129","layer":4},{"info":"number node, value=4971","layer":4},{"info":"compute binary expreesion, left_input=3129, right_input=4971, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-4469","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-4469, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":1},{"info":"number node, value=1148","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=2585, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3854","layer":3},{"info":"number node, value=2583","layer":4},{"info":"number node, value=5962","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=5962, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=11800","layer":3},{"info":"compute binary expreesion, left_input=-3854, right_input=11800, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-47878","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=5871","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=5871, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=3229","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=2632, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5861","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5861, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-47878, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-694, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":6,"result_base":6,"text":"(≑⋹((↹⩛22253⨫⇇↔↹⩛35003)⪟⇏(⇤←↹⩛5223)))⫳≱↱((↹⩛5152⩚⊴⇥↹⩛15545)≁↽≥(↹⩛15543⨥⫆↹⩛43334)⊍⩺⋍↹⩛4344⪎↠↹⩛43103↳∿⪆(↹⩛22541⪒↹⩛20104))=↹⩛-20550","reverse_text":"↹⩛-20550=(≑⋹((↹⩛22253⨫⇇↔↹⩛35003)⪟⇏(⇤←↹⩛5223)))⫳≱↱((↹⩛5152⩚⊴⇥↹⩛15545)≁↽≥(↹⩛15543⨥⫆↹⩛43334)⊍⩺⋍↹⩛4344⪎↠↹⩛43103↳∿⪆(↹⩛22541⪒↹⩛20104))","cot":[{"info":"↹⩛22253⨫⇇↔↹⩛35003=↹⩛-2235","layer":3},{"info":"⇤←↹⩛5223=↹⩛-32405","layer":3},{"info":"↹⩛-2235⪟⇏↹⩛-32405=↹⩛0","layer":2},{"info":"≑⋹↹⩛0=↹⩛-3114","layer":1},{"info":"↹⩛5152⩚⊴⇥↹⩛15545=↹⩛-25502","layer":3},{"info":"↹⩛15543⨥⫆↹⩛43334=↹⩛130344","layer":3},{"info":"↹⩛-25502≁↽≥↹⩛130344=↹⩛-1005354","layer":2},{"info":"↹⩛4344⪎↠↹⩛43103=↹⩛424","layer":3},{"info":"↹⩛22541⪒↹⩛20104=↹⩛-43045","layer":3},{"info":"↹⩛424↳∿⪆↹⩛-43045=NaN","layer":2},{"info":"↹⩛-1005354⊍⩺⋍NaN=NaN","layer":1},{"info":"↹⩛-3114⫳≱↱NaN=↹⩛-20550","layer":0}]} +{"id":593,"expression_no_base_symbol":"⊖(($6523$∀⇚≩$1946$)∇⊂⋱$1679$⪬$3911$)↓($3622$≝⊿$1023$)⨽∌($1188$∓⋝$1434$)","expression":"⊖((↹⩛50111∀⇚≩↹⩛13002)∇⊂⋱↹⩛11435⪬↹⩛30035)↓(↹⩛24434≝⊿↹⩛4423)⨽∌(↹⩛5300∓⋝↹⩛10350)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46632,"operation_count":8,"complexity_ratio":5829.0,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6523,"base":6},"right_expr":{"type":"numeric_atoms","value":1946,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1679,"base":6},"right_expr":{"type":"numeric_atoms","value":3911,"base":6}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3622,"base":6},"right_expr":{"type":"numeric_atoms","value":1023,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1188,"base":6},"right_expr":{"type":"numeric_atoms","value":1434,"base":6}}}}},"used_operators":["U6pG0PXrV3","Af076pWI7l","nhYeJWJD5X","LRNGc0VcxI","Ez1Nq5fNfI","9samAPKr6k","OKKcZfAt5B","PoHhknlbAi"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","X99M06cbEe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","12rbrZMWeM","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"↹⩛3210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6523","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=6523, right_input=1946, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1679","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=3911, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=3622","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=1023, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6201","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1434, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-6201, right_input=67, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":1},{"info":"compute unary expreesion, input=-242, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=726","layer":0}],"base":6,"result_base":6,"text":"⊖((↹⩛50111∀⇚≩↹⩛13002)∇⊂⋱↹⩛11435⪬↹⩛30035)↓(↹⩛24434≝⊿↹⩛4423)⨽∌(↹⩛5300∓⋝↹⩛10350)=↹⩛3210","reverse_text":"↹⩛3210=⊖((↹⩛50111∀⇚≩↹⩛13002)∇⊂⋱↹⩛11435⪬↹⩛30035)↓(↹⩛24434≝⊿↹⩛4423)⨽∌(↹⩛5300∓⋝↹⩛10350)","cot":[{"info":"↹⩛50111∀⇚≩↹⩛13002=NaN","layer":3},{"info":"↹⩛11435⪬↹⩛30035=↹⩛5414","layer":3},{"info":"NaN∇⊂⋱↹⩛5414=NaN","layer":2},{"info":"↹⩛24434≝⊿↹⩛4423=↹⩛-44413","layer":3},{"info":"↹⩛5300∓⋝↹⩛10350=↹⩛151","layer":3},{"info":"↹⩛-44413⨽∌↹⩛151=↹⩛0","layer":2},{"info":"NaN↓↹⩛0=↹⩛-1042","layer":1},{"info":"⊖↹⩛-1042=↹⩛3210","layer":0}]} +{"id":594,"expression_no_base_symbol":"($3695$⇂≾⫗$3616$⩇∃⫛(⨮↦↱$1471$)⊉≛↸($2305$⨟⋌⩍$4135$)↢(⇁⨣⪵$6669$))≬⇓($7208$⊔$7460$)⩦(↥≼⋛$4276$)⨥⫆((∟⋨$1045$)⩢≌)","expression":"(↹⩛25035⇂≾⫗↹⩛24424⩇∃⫛(⨮↦↱↹⩛10451)⊉≛↸(↹⩛14401⨟⋌⩍↹⩛31051)↢(⇁⨣⪵↹⩛50513))≬⇓(↹⩛53212⊔↹⩛54312)⩦(↥≼⋛↹⩛31444)⨥⫆((∟⋨↹⩛4501)⩢≌)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2450,"operation_count":14,"complexity_ratio":175.0,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3695,"base":6},"right_expr":{"type":"numeric_atoms","value":3616,"base":6}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1471,"base":6}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2305,"base":6},"right_expr":{"type":"numeric_atoms","value":4135,"base":6}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6669,"base":6}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":7208,"base":6},"right_expr":{"type":"numeric_atoms","value":7460,"base":6}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4276,"base":6}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1045,"base":6}}}}},"used_operators":["jWTQ2TZYIH","DZ8iAZOCBD","1aApVXNlOP","aBQ6xLxuTc","sYcpBQ0cFf","WR6HLWljOP","rGHVDoGpnC","inkyxCbjAn","yXekIHxTD4","0kmYd0q39Y","E4l6HwMY31","x5lMkHmzsq","D617RFjZIq","ctOc4cKSDt"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","B5M0gjZbta","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","hTbEZDJLEm","o20kRiQErp","eLAdDNolq6","tmPS8pqC7x"],"result":"↹⩛-34","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3695","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=3616, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2861199","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-2861199, 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=-676","layer":2},{"info":"number node, value=2305","layer":4},{"info":"number node, value=4135","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=4135, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6669","layer":4},{"info":"compute unary expreesion, input=6669, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=7208","layer":4},{"info":"number node, value=7460","layer":4},{"info":"compute binary expreesion, left_input=7208, right_input=7460, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=49316","layer":3},{"info":"number node, value=4276","layer":4},{"info":"compute unary expreesion, input=4276, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=49316, right_input=-113, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=98632","layer":2},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-561","layer":3},{"info":"compute unary expreesion, input=-561, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=98632, right_input=113, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=102","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=102, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25035⇂≾⫗↹⩛24424⩇∃⫛(⨮↦↱↹⩛10451)⊉≛↸(↹⩛14401⨟⋌⩍↹⩛31051)↢(⇁⨣⪵↹⩛50513))≬⇓(↹⩛53212⊔↹⩛54312)⩦(↥≼⋛↹⩛31444)⨥⫆((∟⋨↹⩛4501)⩢≌)=↹⩛-34","reverse_text":"↹⩛-34=(↹⩛25035⇂≾⫗↹⩛24424⩇∃⫛(⨮↦↱↹⩛10451)⊉≛↸(↹⩛14401⨟⋌⩍↹⩛31051)↢(⇁⨣⪵↹⩛50513))≬⇓(↹⩛53212⊔↹⩛54312)⩦(↥≼⋛↹⩛31444)⨥⫆((∟⋨↹⩛4501)⩢≌)","cot":[{"info":"↹⩛25035⇂≾⫗↹⩛24424=↹⩛-3044","layer":3},{"info":"⨮↦↱↹⩛10451=↹⩛-141154143","layer":3},{"info":"↹⩛-3044⩇∃⫛↹⩛-141154143=↹⩛-3044","layer":2},{"info":"↹⩛14401⨟⋌⩍↹⩛31051=NaN","layer":3},{"info":"⇁⨣⪵↹⩛50513=NaN","layer":3},{"info":"NaN↢NaN=NaN","layer":2},{"info":"↹⩛-3044⊉≛↸NaN=NaN","layer":1},{"info":"↹⩛53212⊔↹⩛54312=↹⩛1020152","layer":3},{"info":"↥≼⋛↹⩛31444=↹⩛-305","layer":3},{"info":"↹⩛1020152⩦↹⩛-305=↹⩛2040344","layer":2},{"info":"∟⋨↹⩛4501=↹⩛-2333","layer":3},{"info":"↹⩛-2333⩢≌=↹⩛305","layer":2},{"info":"↹⩛2040344⨥⫆↹⩛305=↹⩛250","layer":1},{"info":"NaN≬⇓↹⩛250=↹⩛-34","layer":0}]} +{"id":595,"expression_no_base_symbol":"(⩏⊷≩$1164$⫞⩸⩒$2687$)⫁⪎((↣≠⋷$3800$)+$1030$∼$2597$)⊉≛↸(⋗⩬⋾$2133$)⩇∃⫛($2864$⋾⨃∁$5755$)∝(($1538$∩⋅)↦)","expression":"(⩏⊷≩↹⩛5220⫞⩸⩒↹⩛20235)⫁⪎((↣≠⋷↹⩛25332)+↹⩛4434∼↹⩛20005)⊉≛↸(⋗⩬⋾↹⩛13513)⩇∃⫛(↹⩛21132⋾⨃∁↹⩛42351)∝((↹⩛11042∩⋅)↦)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6097,"operation_count":13,"complexity_ratio":469.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1164,"base":6},"right_expr":{"type":"numeric_atoms","value":2687,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3800,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1030,"base":6},"right_expr":{"type":"numeric_atoms","value":2597,"base":6}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2133,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2864,"base":6},"right_expr":{"type":"numeric_atoms","value":5755,"base":6}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1538,"base":6}}}}},"used_operators":["DZ8iAZOCBD","xRrnTEsQ6j","uOZ1tnYMDE","XGcMNugi78","W4YGzv6Whe","Asc51vEJeQ","DyGG3AbaNP","cTDWOvIxvz","1aApVXNlOP","DpFCA1CohY","212REbPD9h","fFznvYxMfW","2MzE1hQ0cz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","23Mk6UjR3U","12rbrZMWeM","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2687, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2687","layer":3},{"info":"compute unary expreesion, input=2687, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5073","layer":2},{"info":"number node, value=3800","layer":4},{"info":"compute unary expreesion, input=3800, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2597, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5073, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"number node, value=2133","layer":4},{"info":"compute unary expreesion, input=2133, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6399","layer":3},{"info":"number node, value=2864","layer":4},{"info":"number node, value=5755","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=5755, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=331131096","layer":3},{"info":"compute binary expreesion, left_input=-6399, right_input=331131096, 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=-6399","layer":2},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1417","layer":3},{"info":"compute unary expreesion, input=-1417, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-216","layer":2},{"info":"compute binary expreesion, left_input=-6399, right_input=-216, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-6394","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6394, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩏⊷≩↹⩛5220⫞⩸⩒↹⩛20235)⫁⪎((↣≠⋷↹⩛25332)+↹⩛4434∼↹⩛20005)⊉≛↸(⋗⩬⋾↹⩛13513)⩇∃⫛(↹⩛21132⋾⨃∁↹⩛42351)∝((↹⩛11042∩⋅)↦)=NaN","reverse_text":"NaN=(⩏⊷≩↹⩛5220⫞⩸⩒↹⩛20235)⫁⪎((↣≠⋷↹⩛25332)+↹⩛4434∼↹⩛20005)⊉≛↸(⋗⩬⋾↹⩛13513)⩇∃⫛(↹⩛21132⋾⨃∁��⩛42351)∝((↹⩛11042∩⋅)↦)","cot":[{"info":"↹⩛5220⫞⩸⩒↹⩛20235=↹⩛20235","layer":3},{"info":"⩏⊷≩↹⩛20235=↹⩛35253","layer":2},{"info":"↣≠⋷↹⩛25332=NaN","layer":3},{"info":"↹⩛4434∼↹⩛20005=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"↹⩛35253⫁⪎NaN=NaN","layer":1},{"info":"⋗⩬⋾↹⩛13513=↹⩛-45343","layer":3},{"info":"↹⩛21132⋾⨃∁↹⩛42351=↹⩛52505142200","layer":3},{"info":"↹⩛-45343⩇∃⫛↹⩛52505142200=↹⩛-45343","layer":2},{"info":"↹⩛11042∩⋅=↹⩛-10321","layer":3},{"info":"↹⩛-10321↦=↹⩛-1000","layer":2},{"info":"↹⩛-45343∝↹⩛-1000=↹⩛-45334","layer":1},{"info":"NaN⊉≛↸↹⩛-45334=NaN","layer":0}]} +{"id":596,"expression_no_base_symbol":"($2260$∌↝$4497$)⊉↱≁$3712$⪃⊛⇣$4857$∇⊂⋱(⊀$2107$⩘$3354$)⨳⩥⨓(($2130$⨽$2188$)⨲)⨫⇇↔(≇⪴$4209$)≨($5772$≬⋮$5970$)","expression":"(↹⩛14244∌↝↹⩛32453)⊉↱≁↹⩛25104⪃⊛⇣↹⩛34253∇⊂⋱(⊀↹⩛13431⩘↹⩛23310)⨳⩥⨓((↹⩛13510⨽↹⩛14044)⨲)⨫⇇↔(≇⪴↹⩛31253)≨(↹⩛42420≬⋮↹⩛43350)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":77056,"operation_count":13,"complexity_ratio":5927.384615384615,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2260,"base":6},"right_expr":{"type":"numeric_atoms","value":4497,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3712,"base":6},"right_expr":{"type":"numeric_atoms","value":4857,"base":6}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2107,"base":6},"right_expr":{"type":"numeric_atoms","value":3354,"base":6}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2130,"base":6},"right_expr":{"type":"numeric_atoms","value":2188,"base":6}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4209,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5772,"base":6},"right_expr":{"type":"numeric_atoms","value":5970,"base":6}}}}},"used_operators":["nCS4ZIUYfx","nhYeJWJD5X","w2P8NbNXyL","9Isq31Ruls","rrgAzCduG9","oPMjh9089D","cHh1gJQ2o6","LXhwmt4mBO","nLYMGWM7L8","8HhzD0ZcuI","0KMCeP1Jsh","zoVPnxeHJ3","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"↹⩛1021","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2260","layer":4},{"info":"number node, value=4497","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=4497, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=3712","layer":4},{"info":"number node, value=4857","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=4857, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-8518","layer":2},{"info":"number node, value=2107","layer":4},{"info":"number node, value=3354","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=3354, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=378","layer":2},{"info":"compute binary expreesion, left_input=-8518, right_input=378, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-756","layer":1},{"info":"number node, value=2130","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=2188, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13615950","layer":3},{"info":"compute unary expreesion, input=-13615950, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=4209","layer":4},{"info":"compute unary expreesion, input=4209, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11287","layer":3},{"info":"number node, value=5772","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=5772, right_input=5970, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-11287, right_input=868, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=23230","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=23230, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-756, right_input=-527, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=229","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14244∌↝↹⩛32453)⊉↱≁↹⩛25104⪃⊛⇣↹⩛34253∇⊂⋱(⊀↹⩛13431⩘↹⩛23310)⨳⩥⨓((↹⩛13510⨽↹⩛14044)⨲)⨫⇇↔(≇⪴↹⩛31253)≨(↹⩛42420≬⋮↹⩛43350)=↹⩛1021","reverse_text":"↹⩛1021=(↹⩛14244∌↝↹⩛32453)⊉↱≁↹⩛25104⪃⊛⇣↹⩛34253∇⊂⋱(⊀↹⩛13431⩘↹⩛23310)⨳⩥⨓((↹⩛13510⨽↹⩛14044)⨲)⨫⇇↔(≇⪴↹⩛31253)≨(↹⩛42420≬⋮↹⩛43350)","cot":[{"info":"↹⩛14244∌↝↹⩛32453=↹⩛0","layer":3},{"info":"↹⩛25104⪃⊛⇣↹⩛34253=↹⩛5414","layer":3},{"info":"↹⩛0⊉↱≁↹⩛5414=↹⩛-103234","layer":2},{"info":"↹⩛13431⩘↹⩛23310=↹⩛424","layer":3},{"info":"⊀↹⩛424=↹⩛1430","layer":2},{"info":"↹⩛-103234∇⊂⋱↹⩛1430=↹⩛-3300","layer":1},{"info":"↹⩛13510⨽↹⩛14044=↹⩛-1203500450","layer":3},{"info":"↹⩛-1203500450⨲=↹⩛244215501","layer":2},{"info":"≇⪴↹⩛31253=↹⩛-124131","layer":3},{"info":"↹⩛42420≬⋮↹⩛43350=↹⩛4004","layer":3},{"info":"↹⩛-124131≨↹⩛4004=↹⩛255314","layer":2},{"info":"↹⩛244215501⨫⇇↔↹⩛255314=↹⩛-2235","layer":1},{"info":"↹⩛-3300⨳⩥⨓↹⩛-2235=↹⩛1021","layer":0}]} +{"id":597,"expression_no_base_symbol":"((⨞⊢$3993$)⪮%⊝($2417$⇄$1394$)↺($5552$⩒⫫$2449$/$6214$⊢$1107$))⩧⪆(($3088$⋳⪒$1077$)⊴$7603$⨔⇊$4147$∐⫣)","expression":"((⨞⊢↹⩛30253)⪮%⊝(↹⩛15105⇄↹⩛10242)↺(↹⩛41412⩒⫫↹⩛15201/↹⩛44434⊢↹⩛5043))⩧⪆((↹⩛22144⋳⪒↹⩛4553)⊴↹⩛55111⨔⇊↹⩛31111∐⫣)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5386,"operation_count":12,"complexity_ratio":448.8333333333333,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3993,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2417,"base":6},"right_expr":{"type":"numeric_atoms","value":1394,"base":6}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5552,"base":6},"right_expr":{"type":"numeric_atoms","value":2449,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6214,"base":6},"right_expr":{"type":"numeric_atoms","value":1107,"base":6}}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3088,"base":6},"right_expr":{"type":"numeric_atoms","value":1077,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7603,"base":6},"right_expr":{"type":"numeric_atoms","value":4147,"base":6}}}}},"used_operators":["Ikt5ks8PT7","7j4O788W3g","IWmyXbctLI","xUOZtlo3hN","3EYGwJThht","XhwjNDsVaA","KFSx94NKJn","5twsqlHp2o","4CyGpkTkEk","Nsiff2A1zJ","12rbrZMWeM","JclMnS0uGI"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3993","layer":4},{"info":"compute unary expreesion, input=3993, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4167","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=1394, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4167, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=5552","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=5552, right_input=2449, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5250","layer":3},{"info":"number node, value=6214","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=1107, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12672","layer":3},{"info":"compute binary expreesion, left_input=5250, right_input=-12672, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1","layer":1},{"info":"number node, value=3088","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=1077, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4812","layer":3},{"info":"number node, value=7603","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=7603, right_input=4147, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4147","layer":3},{"info":"compute binary expreesion, left_input=4812, right_input=4147, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⨞⊢↹⩛30253)⪮%⊝(↹⩛15105⇄↹⩛10242)↺(↹⩛41412⩒⫫↹⩛15201/↹⩛44434⊢↹⩛5043))⩧⪆((↹⩛22144⋳⪒↹⩛4553)⊴↹⩛55111⨔⇊↹⩛31111∐⫣)=NaN","reverse_text":"NaN=((⨞⊢↹⩛30253)⪮%⊝(↹⩛15105⇄↹⩛10242)↺(↹⩛41412⩒⫫↹⩛15201/↹⩛44434⊢↹⩛5043))⩧⪆((↹⩛22144⋳⪒↹⩛4553)⊴↹⩛55111⨔⇊↹⩛31111∐⫣)","cot":[{"info":"⨞⊢↹⩛30253=↹⩛-31143","layer":3},{"info":"↹⩛15105⇄↹⩛10242=↹⩛0","layer":3},{"info":"↹⩛-31143⪮%⊝↹⩛0=NaN","layer":2},{"info":"↹⩛41412⩒⫫↹⩛15201=↹⩛40150","layer":3},{"info":"↹⩛44434⊢↹⩛5043=↹⩛-134400","layer":3},{"info":"↹⩛40150/↹⩛-134400=↹⩛-1","layer":2},{"info":"NaN↺↹⩛-1=↹⩛-1","layer":1},{"info":"↹⩛22144⋳⪒↹⩛4553=↹⩛34140","layer":3},{"info":"↹⩛55111⨔⇊↹⩛31111=↹⩛31111","layer":3},{"info":"↹⩛34140⊴↹⩛31111=NaN","layer":2},{"info":"NaN∐⫣=NaN","layer":1},{"info":"↹⩛-1⩧⪆NaN=NaN","layer":0}]} +{"id":598,"expression_no_base_symbol":"($3326$⫉⨲⊜$7132$≧⫂∧($3302$⇉⇉))⨂≜((⊈$7687$)⫢⨠($7217$≦≮≮))+((⫯$4959$)⫸⊐$4218$⨽$1661$)⩵∡(∷≠($1427$≄⊠$4705$))","expression":"(↹⩛23222⫉⨲⊜↹⩛53004≧⫂∧(↹⩛23142⇉⇉))⨂≜((⊈↹⩛55331)⫢⨠(↹⩛53225≦≮≮))+((⫯↹⩛34543)⫸⊐↹⩛31310⨽↹⩛11405)⩵∡(∷≠(↹⩛10335≄⊠↹⩛33441))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":214328,"operation_count":14,"complexity_ratio":15309.142857142857,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3326,"base":6},"right_expr":{"type":"numeric_atoms","value":7132,"base":6}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":3302,"base":6}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":7687,"base":6}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7217,"base":6}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":4959,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4218,"base":6},"right_expr":{"type":"numeric_atoms","value":1661,"base":6}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1427,"base":6},"right_expr":{"type":"numeric_atoms","value":4705,"base":6}}}}},"used_operators":["W4YGzv6Whe","k1SHOSEABc","Ph9nP6C5qx","WhqkvtTD3t","diKm42VcIt","xlXykHWxX1","RHru8klgy8","D4vGDi5EA2","Y7wcNGrDQJ","mqXw5SEYmG","H6BK1Evt7c","8HhzD0ZcuI","QiR2Oyf5Xj","vXNesLlMH1"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","7j4O788W3g","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3326","layer":4},{"info":"number node, value=7132","layer":4},{"info":"compute binary expreesion, left_input=3326, right_input=7132, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3302","layer":4},{"info":"compute unary expreesion, input=3302, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-209792","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-209792, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=209792","layer":2},{"info":"number node, value=7687","layer":4},{"info":"compute unary expreesion, input=7687, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-7861","layer":3},{"info":"number node, value=7217","layer":4},{"info":"compute unary expreesion, input=7217, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-21651","layer":3},{"info":"compute binary expreesion, left_input=-7861, right_input=-21651, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=234826","layer":2},{"info":"compute binary expreesion, left_input=209792, right_input=234826, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=4959","layer":4},{"info":"compute unary expreesion, input=4959, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-193490","layer":3},{"info":"number node, value=4218","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=1661, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-53378241","layer":3},{"info":"compute binary expreesion, left_input=-193490, right_input=-53378241, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1427","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=4705, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=79948","layer":3},{"info":"compute unary expreesion, input=79948, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=79948","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=79948, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=77891","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=77891, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23222⫉⨲⊜↹⩛53004≧⫂∧(↹⩛23142⇉⇉))⨂≜((⊈↹⩛55331)⫢⨠(↹⩛53225≦≮≮))+((⫯↹⩛34543)⫸⊐↹⩛31310⨽↹⩛11405)⩵∡(∷≠(↹⩛10335≄⊠↹⩛33441))=NaN","reverse_text":"NaN=(↹⩛23222⫉⨲⊜↹⩛53004≧⫂∧(↹⩛23142⇉⇉))⨂≜((⊈↹⩛55331)⫢⨠(↹⩛53225≦≮≮))+((⫯↹⩛34543)⫸⊐↹⩛31310⨽↹⩛11405)⩵∡(∷≠(↹⩛10335≄⊠↹⩛33441))","cot":[{"info":"↹⩛23222⫉⨲⊜↹⩛53004=↹⩛0","layer":3},{"info":"↹⩛23142⇉⇉=↹⩛-4255132","layer":3},{"info":"↹⩛0≧⫂∧↹⩛-4255132=↹⩛4255132","layer":2},{"info":"⊈↹⩛55331=↹⩛-100221","layer":3},{"info":"↹⩛53225≦≮≮=↹⩛-244123","layer":3},{"info":"↹⩛-100221⫢⨠↹⩛-244123=↹⩛5011054","layer":2},{"info":"↹⩛4255132⨂≜↹⩛5011054=NaN","layer":1},{"info":"⫯↹⩛34543=↹⩛-4051442","layer":3},{"info":"↹⩛31310⨽↹⩛11405=↹⩛-5144025253","layer":3},{"info":"↹⩛-4051442⫸⊐↹⩛-5144025253=↹⩛4252","layer":2},{"info":"↹⩛10335≄⊠↹⩛33441=↹⩛1414044","layer":3},{"info":"∷≠↹⩛1414044=↹⩛1414044","layer":2},{"info":"↹⩛4252⩵∡↹⩛1414044=↹⩛1400335","layer":1},{"info":"NaN+↹⩛1400335=NaN","layer":0}]} +{"id":599,"expression_no_base_symbol":"((⪭⩑⪱($3145$⪘⫢$1075$))⊝⪿⪼((⇺⋃$6149$)⫳≱↱$1169$⩺⪪$4754$))→⨶⪴(⩏⊷≩$1780$⩣⫁∢$1017$∠↢(∐⩳⋚$1003$))","expression":"((⪭⩑⪱(↹⩛22321⪘⫢↹⩛4551))⊝⪿⪼((⇺⋃↹⩛44245)⫳≱↱↹⩛5225⩺⪪↹⩛34002))→⨶⪴(⩏⊷≩↹⩛12124⩣⫁∢↹⩛4413∠↢(∐⩳⋚↹⩛4351))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":281825,"operation_count":11,"complexity_ratio":25620.454545454544,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3145,"base":6},"right_expr":{"type":"numeric_atoms","value":1075,"base":6}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6149,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1169,"base":6},"right_expr":{"type":"numeric_atoms","value":4754,"base":6}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1780,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1003,"base":6}}}}},"used_operators":["bF6eod5Gvf","3Oe9XWJUTD","SIgE0bArFf","oacrs7FA3X","ZvLB05nZmT","E5v5B3UAjG","uvdQJvN4PV","uOZ1tnYMDE","KbjG8mgYpV","JDUIKTTSIa","SL6IHkK8vl"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"↹⩛-2111231550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3145","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=3145, right_input=1075, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6166","layer":3},{"info":"compute unary expreesion, input=6166, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=6149","layer":4},{"info":"compute unary expreesion, input=6149, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=4754","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=4754, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=124821212","layer":1},{"info":"number node, value=1780","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=1017, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3399","layer":3},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=133070","layer":3},{"info":"compute binary expreesion, left_input=-3399, right_input=133070, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-1848302","layer":2},{"info":"compute unary expreesion, input=-1848302, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=7393822","layer":1},{"info":"compute binary expreesion, left_input=124821212, right_input=7393822, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22181466","layer":0}],"base":6,"result_base":6,"text":"((⪭⩑⪱(↹⩛22321⪘⫢↹⩛4551))⊝⪿⪼((⇺⋃↹⩛44245)⫳≱↱↹⩛5225⩺⪪↹⩛34002))→⨶⪴(⩏⊷≩↹⩛12124⩣⫁∢↹⩛4413∠↢(∐⩳⋚↹⩛4351))=↹⩛-2111231550","reverse_text":"↹⩛-2111231550=((⪭⩑⪱(↹⩛22321⪘⫢↹⩛4551))⊝⪿⪼((⇺⋃↹⩛44245)⫳≱↱↹⩛5225⩺⪪↹⩛34002))→⨶⪴(⩏⊷≩↹⩛12124⩣⫁∢↹⩛4413∠↢(∐⩳⋚↹⩛4351))","cot":[{"info":"↹⩛22321⪘⫢↹⩛4551=↹⩛44314","layer":3},{"info":"⪭⩑⪱↹⩛44314=↹⩛454202000","layer":2},{"info":"⇺⋃↹⩛44245=NaN","layer":3},{"info":"↹⩛5225⩺⪪↹⩛34002=↹⩛-12230","layer":3},{"info":"NaN⫳≱↱↹⩛-12230=NaN","layer":2},{"info":"↹⩛454202000⊝⪿⪼NaN=↹⩛20215203552","layer":1},{"info":"↹⩛12124⩣⫁∢↹⩛4413=↹⩛-23423","layer":3},{"info":"∐⩳⋚↹⩛4351=↹⩛2504022","layer":3},{"info":"↹⩛-23423∠↢↹⩛2504022=↹⩛-103340542","layer":2},{"info":"⩏⊷≩↹⩛-103340542=↹⩛422250354","layer":1},{"info":"↹⩛20215203552→⨶⪴↹⩛422250354=↹⩛-2111231550","layer":0}]} +{"id":600,"expression_no_base_symbol":"(↩($1168$∪⫐$2712$)⨒($1952$≑≱⪘))≓∲(⊽($1372$∛$2119$))⪪($1431$⩘$2524$)⇡⇂($3257$≳⇉$2055$)","expression":"(↩(↹⩛5224∪⫐↹⩛20320)⨒(↹⩛13012≑≱⪘))≓∲(⊽(↹⩛10204∛↹⩛13451))⪪(↹⩛10343⩘↹⩛15404)⇡⇂(↹⩛23025≳⇉↹⩛13303)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":61975562,"operation_count":11,"complexity_ratio":5634142.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1168,"base":6},"right_expr":{"type":"numeric_atoms","value":2712,"base":6}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1952,"base":6}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1372,"base":6},"right_expr":{"type":"numeric_atoms","value":2119,"base":6}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1431,"base":6},"right_expr":{"type":"numeric_atoms","value":2524,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3257,"base":6},"right_expr":{"type":"numeric_atoms","value":2055,"base":6}}}}},"used_operators":["s1XTVnmDOJ","jLgFTUHLKL","y75s1iXyHd","7YooWSwCyH","tGSeddj7UK","xD69zh8xqp","QxG7OkqoLX","w2537kitQq","UMwdvZNt44","cHh1gJQ2o6","V0kx6qeWkN"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","FU0Cs4j7VP","JclMnS0uGI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"↹⩛-51522515","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=2712, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1168","layer":3},{"info":"number node, value=1952","layer":4},{"info":"compute unary expreesion, input=1952, 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=47117","layer":3},{"info":"compute binary expreesion, left_input=1168, right_input=47117, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6636","layer":2},{"info":"compute unary expreesion, input=-6636, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=29164","layer":1},{"info":"number node, value=1372","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=2119, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2524, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3257","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=2055, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, 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=-163","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-163, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=29164, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-1488431","layer":0}],"base":6,"result_base":6,"text":"(↩(↹⩛5224∪⫐↹⩛20320)⨒(↹⩛13012≑≱⪘))≓∲(⊽(↹⩛10204∛↹⩛13451))⪪(↹⩛10343⩘↹⩛15404)⇡⇂(↹⩛23025≳⇉↹⩛13303)=↹⩛-51522515","reverse_text":"↹⩛-51522515=(↩(↹⩛5224∪⫐↹⩛20320)⨒(↹⩛13012≑≱⪘))≓∲(⊽(↹⩛10204∛↹⩛13451))⪪(↹⩛10343⩘↹⩛15404)⇡⇂(↹⩛23025≳⇉↹⩛13303)","cot":[{"info":"↹⩛5224∪⫐↹⩛20320=↹⩛5224","layer":3},{"info":"↹⩛13012≑≱⪘=↹⩛1002045","layer":3},{"info":"↹⩛5224⨒↹⩛1002045=↹⩛-50420","layer":2},{"info":"↩↹⩛-50420=↹⩛343004","layer":1},{"info":"↹⩛10204∛↹⩛13451=↹⩛-3034","layer":3},{"info":"⊽↹⩛-3034=↹⩛0","layer":2},{"info":"↹⩛10343⩘↹⩛15404=↹⩛424","layer":3},{"info":"↹⩛23025≳⇉↹⩛13303=NaN","layer":3},{"info":"↹⩛424⇡⇂NaN=↹⩛-431","layer":2},{"info":"↹⩛0⪪↹⩛-431=↹⩛0","layer":1},{"info":"↹⩛343004≓∲↹⩛0=↹⩛-51522515","layer":0}]} +{"id":601,"expression_no_base_symbol":"(($3575$⨐⩸⫘$5365$)⨲)⨜⨶(⊢≑≆($1959$⩇∃⫛$4902$))⫁⪎((⊵⊁$3271$)⪭≯$3563$⇂≾⫗$2800$⫔⩽⩺(⊥$3545$)⇴∐($5617$∪⫐$1442$))","expression":"((↹⩛24315⨐⩸⫘↹⩛40501)⨲)⨜⨶(⊢≑≆(↹⩛13023⩇∃⫛↹⩛34410))⫁⪎((⊵⊁↹⩛23051)⪭≯↹⩛24255⇂≾⫗↹⩛20544⫔⩽⩺(⊥↹⩛24225)⇴∐(↹⩛42001∪⫐↹⩛10402))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5505,"operation_count":13,"complexity_ratio":423.46153846153845,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3575,"base":6},"right_expr":{"type":"numeric_atoms","value":5365,"base":6}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1959,"base":6},"right_expr":{"type":"numeric_atoms","value":4902,"base":6}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3271,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3563,"base":6},"right_expr":{"type":"numeric_atoms","value":2800,"base":6}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3545,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5617,"base":6},"right_expr":{"type":"numeric_atoms","value":1442,"base":6}}}}},"used_operators":["xRrnTEsQ6j","HiPekx5b7W","nLYMGWM7L8","fu6greOZ01","27wFxooxGf","1aApVXNlOP","i9eR4S00cU","XAx5wpdLa6","AvED76WdY7","aBQ6xLxuTc","HnzytWxmAO","Q3PJZHRvZv","7YooWSwCyH"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","3ViojmjbAp","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","uBihLCJcMX","k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","fu6greOZ01","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3575","layer":4},{"info":"number node, value=5365","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=5365, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=1959","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=4902, 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=3416","layer":3},{"info":"compute unary expreesion, input=3416, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=14116","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=14116, 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=-27976","layer":1},{"info":"number node, value=3271","layer":4},{"info":"compute unary expreesion, input=3271, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=18556","layer":3},{"info":"number node, value=3563","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=2800, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=18556, right_input=-676, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=3545","layer":4},{"info":"compute unary expreesion, input=3545, op_id = Q3PJZHRvZv, unary_op_definition = '���a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5617","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=5617, right_input=1442, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5617","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5617, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-27976, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛24315⨐⩸⫘↹⩛40501)⨲)⨜⨶(⊢≑≆(↹⩛13023⩇∃⫛↹⩛34410))⫁⪎((⊵⊁↹⩛23051)⪭≯↹⩛24255⇂≾⫗↹⩛20544⫔⩽⩺(⊥↹⩛24225)⇴∐(↹⩛42001∪⫐↹⩛10402))=NaN","reverse_text":"NaN=((↹⩛24315⨐⩸⫘↹⩛40501)⨲)⨜⨶(⊢≑≆(↹⩛13023⩇∃⫛↹⩛34410))⫁⪎((⊵⊁↹⩛23051)⪭≯↹⩛24255⇂≾⫗↹⩛20544⫔⩽⩺(⊥↹⩛24225)⇴∐(↹⩛42001∪⫐↹⩛10402))","cot":[{"info":"↹⩛24315⨐⩸⫘↹⩛40501=NaN","layer":3},{"info":"NaN⨲=↹⩛244215501","layer":2},{"info":"↹⩛13023⩇∃⫛↹⩛34410=↹⩛23452","layer":3},{"info":"⊢≑≆↹⩛23452=↹⩛145204","layer":2},{"info":"↹⩛244215501⨜⨶↹⩛145204=↹⩛-333304","layer":1},{"info":"⊵⊁↹⩛23051=↹⩛221524","layer":3},{"info":"↹⩛24255⇂≾⫗↹⩛20544=↹⩛-3044","layer":3},{"info":"↹⩛221524⪭≯↹⩛-3044=NaN","layer":2},{"info":"⊥↹⩛24225=NaN","layer":3},{"info":"↹⩛42001∪⫐↹⩛10402=↹⩛42001","layer":3},{"info":"NaN⇴∐↹⩛42001=NaN","layer":2},{"info":"NaN⫔⩽⩺NaN=NaN","layer":1},{"info":"↹⩛-333304⫁⪎NaN=NaN","layer":0}]} +{"id":602,"expression_no_base_symbol":"($4175$⪟⇏$5043$⨸(⊆⋠$1162$))⩦(($5114$⇣⩺⋵$4522$)⨀⨒)≃((⪓⩚$1086$)⫚↹⊑$3424$⨔⇊$4376$)≠≀($2927$≁↽≥$8796$⨑≵⋬$3688$∼$1578$)","expression":"(↹⩛31155⪟⇏↹⩛35203⨸(⊆⋠↹⩛5214))⩦((↹⩛35402⇣⩺⋵↹⩛32534)⨀⨒)≃((⪓⩚↹⩛5010)⫚↹⊑↹⩛23504⨔⇊↹⩛32132)≠≀(↹⩛21315≁↽≥↹⩛104420⨑≵⋬↹⩛25024∼↹⩛11150)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3809,"operation_count":14,"complexity_ratio":272.07142857142856,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4175,"base":6},"right_expr":{"type":"numeric_atoms","value":5043,"base":6}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1162,"base":6}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5114,"base":6},"right_expr":{"type":"numeric_atoms","value":4522,"base":6}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1086,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3424,"base":6},"right_expr":{"type":"numeric_atoms","value":4376,"base":6}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2927,"base":6},"right_expr":{"type":"numeric_atoms","value":8796,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3688,"base":6},"right_expr":{"type":"numeric_atoms","value":1578,"base":6}}}}},"used_operators":["YbVcJGFEVW","0kmYd0q39Y","KmoU8R5UQR","GODebY97qR","EBhcHTkKd8","j6NVkjMzuk","F4yD0voBRQ","IwW236VD4Y","dfKe02y8D2","u0R0Locfp2","JclMnS0uGI","XnXgA4xnOs","ncHt1X6cMc","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"↹⩛-233514132","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4175","layer":4},{"info":"number node, value=5043","layer":4},{"info":"compute binary expreesion, left_input=4175, right_input=5043, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=547508","layer":2},{"info":"number node, value=5114","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=4522, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":2},{"info":"compute binary expreesion, left_input=547508, right_input=-2407, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=1095016","layer":1},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=3424","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=4376, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4376","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=4376, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2927","layer":4},{"info":"number node, value=8796","layer":4},{"info":"compute binary expreesion, left_input=2927, right_input=8796, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=53837","layer":3},{"info":"number node, value=3688","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=1578, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=53837, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=1200","layer":1},{"info":"compute binary expreesion, left_input=1095016, right_input=1200, 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=-4380104","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31155⪟⇏↹⩛35203⨸(⊆⋠↹⩛5214))⩦((↹⩛35402⇣⩺⋵↹⩛32534)⨀⨒)≃((⪓⩚↹⩛5010)⫚↹⊑↹⩛23504⨔⇊↹⩛32132)≠≀(↹⩛21315≁↽≥↹⩛104420⨑≵⋬↹⩛25024∼↹⩛11150)=↹⩛-233514132","reverse_text":"↹⩛-233514132=(↹⩛31155⪟⇏↹⩛35203⨸(⊆⋠↹⩛5214))⩦((↹⩛35402⇣⩺⋵↹⩛32534)⨀⨒)≃((⪓⩚↹⩛5010)⫚↹⊑↹⩛23504⨔⇊↹⩛32132)≠≀(↹⩛21315≁↽≥↹⩛104420⨑≵⋬↹⩛25024∼↹⩛11150)","cot":[{"info":"↹⩛31155⪟⇏↹⩛35203=↹⩛-1","layer":3},{"info":"⊆⋠↹⩛5214=↹⩛0","layer":3},{"info":"↹⩛-1⨸↹⩛0=↹⩛15422432","layer":2},{"info":"↹⩛35402⇣⩺⋵↹⩛32534=↹⩛-1112","layer":3},{"info":"↹⩛-1112⨀⨒=↹⩛-15051","layer":2},{"info":"↹⩛15422432⩦↹⩛-15051=↹⩛35245304","layer":1},{"info":"⪓⩚↹⩛5010=↹⩛1550","layer":3},{"info":"↹⩛23504⨔⇊↹⩛32132=↹⩛32132","layer":3},{"info":"↹⩛1550⫚↹⊑↹⩛32132=↹⩛-2023","layer":2},{"info":"↹⩛21315≁↽≥↹⩛104420=↹⩛1053125","layer":3},{"info":"↹⩛25024∼↹⩛11150=NaN","layer":3},{"info":"↹⩛1053125⨑≵⋬NaN=NaN","layer":2},{"info":"↹⩛-2023≠≀NaN=↹⩛5320","layer":1},{"info":"↹⩛35245304≃↹⩛5320=↹⩛-233514132","layer":0}]} +{"id":603,"expression_no_base_symbol":"⩒∊((↥≼⋛$1149$⋝⋈⪟$1211$)⇋≉)","expression":"⩒∊((↥≼⋛↹⩛5153⋝⋈⪟↹⩛5335)⇋≉)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":4,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1149,"base":6},"right_expr":{"type":"numeric_atoms","value":1211,"base":6}}}}},"used_operators":["qazvmhNBbN","XIabStNQrY","x5lMkHmzsq","2DDjHMKMc0"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-14221","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1149","layer":3},{"info":"compute unary expreesion, input=1149, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-324","layer":1},{"info":"compute unary expreesion, input=-324, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-2245","layer":0}],"base":6,"result_base":6,"text":"⩒∊((↥≼⋛↹⩛5153⋝⋈⪟↹⩛5335)⇋≉)=↹⩛-14221","reverse_text":"↹⩛-14221=⩒∊((↥≼⋛↹⩛5153⋝⋈⪟↹⩛5335)⇋≉)","cot":[{"info":"↹⩛5153⋝⋈⪟↹⩛5335=↹⩛5153","layer":3},{"info":"↥≼⋛↹⩛5153=↹⩛-305","layer":2},{"info":"↹⩛-305⇋≉=↹⩛-1300","layer":1},{"info":"⩒∊↹⩛-1300=↹⩛-14221","layer":0}]} +{"id":604,"expression_no_base_symbol":"⪭⩑⪱(↨⩢⫨$7831$⩖⊿$2827$⩖⊿$2989$⊕∕$1380$)","expression":"⪭⩑⪱(↨⩢⫨↹⩛100131⩖⊿↹⩛21031⩖⊿↹⩛21501⊕∕↹⩛10220)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":920,"operation_count":5,"complexity_ratio":184.0,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":7831,"base":6},"right_expr":{"type":"numeric_atoms","value":2827,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2989,"base":6},"right_expr":{"type":"numeric_atoms","value":1380,"base":6}}}}},"used_operators":["SIgE0bArFf","Z5CJsN7DuW","RZ5CV9rWsJ","9cloC0Ngie"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7831","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=7831, right_input=2827, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-8790","layer":3},{"info":"number node, value=2989","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=1380, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2989","layer":3},{"info":"compute binary expreesion, left_input=-8790, right_input=2989, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-4064","layer":2},{"info":"compute unary expreesion, input=-4064, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⪭⩑⪱(↨⩢⫨↹⩛100131⩖⊿↹⩛21031⩖⊿↹⩛21501⊕∕↹⩛10220)=↹⩛454202000","reverse_text":"↹⩛454202000=⪭⩑⪱(↨⩢⫨↹⩛100131⩖⊿↹⩛21031⩖⊿↹⩛21501⊕∕↹⩛10220)","cot":[{"info":"↹⩛100131⩖⊿↹⩛21031=↹⩛-104410","layer":3},{"info":"↹⩛21501⊕∕↹⩛10220=↹⩛21501","layer":3},{"info":"↹⩛-104410⩖⊿↹⩛21501=↹⩛-30452","layer":2},{"info":"↨⩢⫨↹⩛-30452=↹⩛0","layer":1},{"info":"⪭⩑⪱↹⩛0=↹⩛454202000","layer":0}]} +{"id":605,"expression_no_base_symbol":"≸≮(($2218$⪢$1055$)⫣⪄⊒($2437$∼$4959$)∙∹∝($4448$⩺⪪$3314$)⊹∫⫚($1852$⪬∳))","expression":"≸≮((↹⩛14134⪢↹⩛4515)⫣⪄⊒(↹⩛15141∼↹⩛34543)∙∹∝(↹⩛32332⩺⪪↹⩛23202)⊹∫⫚(↹⩛12324⪬∳))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9268,"operation_count":8,"complexity_ratio":1158.5,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2218,"base":6},"right_expr":{"type":"numeric_atoms","value":1055,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2437,"base":6},"right_expr":{"type":"numeric_atoms","value":4959,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4448,"base":6},"right_expr":{"type":"numeric_atoms","value":3314,"base":6}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1852,"base":6}}}}},"used_operators":["AljMvE3RRm","HmxsFra2vL","RabNbG55vr","dWAJyo7jo9","DyGG3AbaNP","uWAJUKEvyW","uvdQJvN4PV","O9U3z1385E"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"↹⩛-1114","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2218","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=1055, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2437","layer":4},{"info":"number node, value=4959","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=4959, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=4448","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=3314, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-19042","layer":3},{"info":"number node, value=1852","layer":4},{"info":"compute unary expreesion, input=1852, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=-19042, right_input=-709, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-64","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-64, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":0}],"base":6,"result_base":6,"text":"≸≮((↹⩛14134⪢↹⩛4515)⫣⪄⊒(↹⩛15141∼↹⩛34543)∙∹∝(↹⩛32332⩺⪪↹⩛23202)⊹∫⫚(↹⩛12324⪬∳))=↹⩛-1114","reverse_text":"↹⩛-1114=≸≮((↹⩛14134⪢↹⩛4515)⫣⪄⊒(↹⩛15141∼↹⩛34543)∙∹∝(↹⩛32332⩺⪪↹⩛23202)⊹∫⫚(↹⩛12324⪬∳))","cot":[{"info":"↹⩛14134⪢↹⩛4515=NaN","layer":3},{"info":"↹⩛15141∼↹⩛34543=NaN","layer":3},{"info":"NaN⫣⪄⊒NaN=↹⩛424","layer":2},{"info":"↹⩛32332⩺⪪↹⩛23202=↹⩛-224054","layer":3},{"info":"↹⩛12324⪬∳=↹⩛-3141","layer":3},{"info":"↹⩛-224054⊹∫⫚↹⩛-3141=↹⩛-144","layer":2},{"info":"↹⩛424∙∹∝↹⩛-144=↹⩛0","layer":1},{"info":"≸≮↹⩛0=↹⩛-1114","layer":0}]} +{"id":606,"expression_no_base_symbol":"(($6806$≑≱⪘)∙⊟(⩦⩻⨪$2528$)⊭↱$2362$↳∿⪆$5278$⨫⇇↔(∓⪦$2572$))⨸(($6077$⪔⊥$4285$⇔⨋)≝⊿($4892$⪛$1805$∽$1049$⫉⨲⊜$1417$))","expression":"((↹⩛51302≑≱⪘)∙⊟(⩦⩻⨪↹⩛15412)⊭↱↹⩛14534↳∿⪆↹⩛40234⨫⇇↔(∓⪦↹⩛15524))⨸((↹⩛44045⪔⊥↹⩛31501⇔⨋)≝⊿(↹⩛34352⪛↹⩛12205∽↹⩛4505⫉⨲⊜↹⩛10321))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":176233,"operation_count":14,"complexity_ratio":12588.07142857143,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":6806,"base":6}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2528,"base":6}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2362,"base":6},"right_expr":{"type":"numeric_atoms","value":5278,"base":6}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2572,"base":6}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6077,"base":6},"right_expr":{"type":"numeric_atoms","value":4285,"base":6}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4892,"base":6},"right_expr":{"type":"numeric_atoms","value":1805,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1049,"base":6},"right_expr":{"type":"numeric_atoms","value":1417,"base":6}}}}},"used_operators":["KmoU8R5UQR","COABgblf1C","SxTAKzQCrw","tGSeddj7UK","2td37pGCOC","LXhwmt4mBO","Cw4SuJJGHO","D309nIvmXG","OKKcZfAt5B","uBihLCJcMX","HJ9erzHUuu","y4ImoPnbV5","uFcxV4UQCh","WhqkvtTD3t"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","12rbrZMWeM","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","NTOWxs364D","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6806","layer":4},{"info":"compute unary expreesion, input=6806, 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=173321","layer":3},{"info":"number node, value=2528","layer":4},{"info":"compute unary expreesion, input=2528, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2528","layer":3},{"info":"compute binary expreesion, left_input=173321, right_input=2528, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=2263019","layer":2},{"info":"number node, value=2362","layer":4},{"info":"number node, value=5278","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=5278, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2164, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=2263019, right_input=-527, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4527087","layer":1},{"info":"number node, value=6077","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=6077, right_input=4285, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=15539","layer":3},{"info":"compute unary expreesion, input=15539, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=92164","layer":2},{"info":"number node, value=4892","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=4892, right_input=1805, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1282","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1417, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1282, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-6232","layer":2},{"info":"compute binary expreesion, left_input=92164, right_input=-6232, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-80233","layer":1},{"info":"compute binary expreesion, left_input=-4527087, right_input=-80233, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛51302≑≱⪘)∙⊟(⩦⩻⨪↹⩛15412)⊭↱↹⩛14534↳∿⪆↹⩛40234⨫⇇↔(∓⪦↹⩛15524))⨸((↹⩛44045⪔⊥↹⩛31501⇔⨋)≝⊿(↹⩛34352⪛↹⩛12205∽↹⩛4505⫉⨲⊜↹⩛10321))=NaN","reverse_text":"NaN=((↹⩛51302≑≱⪘)∙⊟(⩦⩻⨪↹⩛15412)⊭↱↹⩛14534↳∿⪆↹⩛40234⨫⇇↔(∓⪦↹⩛15524))⨸((↹⩛44045⪔⊥↹⩛31501⇔⨋)≝⊿(↹⩛34352⪛↹⩛12205∽↹⩛4505⫉⨲⊜↹⩛10321))","cot":[{"info":"↹⩛51302≑≱⪘=↹⩛3414225","layer":3},{"info":"⩦⩻⨪↹⩛15412=↹⩛15412","layer":3},{"info":"↹⩛3414225∙⊟↹⩛15412=↹⩛120300535","layer":2},{"info":"↹⩛14534↳∿⪆↹⩛40234=NaN","layer":3},{"info":"∓⪦↹⩛15524=↹⩛14004","layer":3},{"info":"NaN⨫⇇↔↹⩛14004=↹⩛-2235","layer":2},{"info":"↹⩛120300535⊭↱↹⩛-2235=↹⩛-241010423","layer":1},{"info":"↹⩛44045⪔⊥↹⩛31501=↹⩛155535","layer":3},{"info":"↹⩛155535⇔⨋=↹⩛1550404","layer":2},{"info":"↹⩛34352⪛↹⩛12205=↹⩛5534","layer":3},{"info":"↹⩛4505⫉⨲⊜↹⩛10321=↹⩛0","layer":3},{"info":"↹⩛5534∽↹⩛0=↹⩛-44504","layer":2},{"info":"↹⩛1550404≝⊿↹⩛-44504=↹⩛-1415241","layer":1},{"info":"↹⩛-241010423⨸↹⩛-1415241=NaN","layer":0}]} +{"id":607,"expression_no_base_symbol":"(($6018$∙∹∝$4077$)⨉)⪔⊥(↞≼($1029$⋳⪒$1217$))⫒⫫(($5895$⪉⨛$6489$)⫘($1203$⇌⫙⪟$1768$)≒∊($1161$*$5305$≋⫹))","expression":"((↹⩛43510∙∹∝↹⩛30513)⨉)⪔⊥(↞≼(↹⩛4433⋳⪒↹⩛5345))⫒⫫((↹⩛43143⪉⨛↹⩛50013)⫘(↹⩛5323⇌⫙⪟↹⩛12104)≒∊(↹⩛5213*↹⩛40321≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12906,"operation_count":12,"complexity_ratio":1075.5,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6018,"base":6},"right_expr":{"type":"numeric_atoms","value":4077,"base":6}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1029,"base":6},"right_expr":{"type":"numeric_atoms","value":1217,"base":6}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5895,"base":6},"right_expr":{"type":"numeric_atoms","value":6489,"base":6}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1203,"base":6},"right_expr":{"type":"numeric_atoms","value":1768,"base":6}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1161,"base":6},"right_expr":{"type":"numeric_atoms","value":5305,"base":6}}}}},"used_operators":["6Ko8hGgeMq","HJ9erzHUuu","aMUSaJuDRU","HmxsFra2vL","DE7zCoGJt9","12rbrZMWeM","5KTvxBwnZo","48vC8HMD2b","EWw2JM7wp4","AFVx7xoS7T","N41Kp7NANJ","9HNa5Wba9A"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6018","layer":4},{"info":"number node, value=4077","layer":4},{"info":"compute binary expreesion, left_input=6018, right_input=4077, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2328","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1217, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=554","layer":3},{"info":"compute unary expreesion, input=554, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=4018","layer":2},{"info":"compute binary expreesion, left_input=2328, right_input=4018, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1077","layer":1},{"info":"number node, value=5895","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=5895, right_input=6489, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11411","layer":3},{"info":"number node, value=1203","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1768, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=11411, right_input=113, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=13423741","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=5305","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=5305, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6159105","layer":3},{"info":"compute unary expreesion, input=6159105, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12318210","layer":2},{"info":"compute binary expreesion, left_input=13423741, right_input=-12318210, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-13423257","layer":1},{"info":"compute binary expreesion, left_input=1077, right_input=-13423257, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛43510∙∹∝↹⩛30513)⨉)⪔⊥(↞≼(↹⩛4433⋳⪒↹⩛5345))⫒⫫((↹⩛43143⪉⨛↹⩛50013)⫘(↹⩛5323⇌⫙⪟↹⩛12104)≒∊(↹⩛5213*↹⩛40321≋⫹))=NaN","reverse_text":"NaN=((↹⩛43510∙∹∝↹⩛30513)⨉)⪔⊥(↞≼(↹⩛4433⋳⪒↹⩛5345))⫒⫫((↹⩛43143⪉⨛↹⩛50013)⫘(↹⩛5323⇌⫙⪟↹⩛12104)≒∊(↹⩛5213*↹⩛40321≋⫹))","cot":[{"info":"↹⩛43510∙∹∝↹⩛30513=↹⩛0","layer":3},{"info":"↹⩛0⨉=↹⩛14440","layer":2},{"info":"↹⩛4433⋳⪒↹⩛5345=↹⩛2322","layer":3},{"info":"↞≼↹⩛2322=↹⩛30334","layer":2},{"info":"↹⩛14440⪔⊥↹⩛30334=↹⩛4553","layer":1},{"info":"↹⩛43143⪉⨛↹⩛50013=↹⩛124455","layer":3},{"info":"↹⩛5323⇌⫙⪟↹⩛12104=↹⩛305","layer":3},{"info":"↹⩛124455⫘↹⩛305=↹⩛1155414541","layer":2},{"info":"↹⩛5213*↹⩛40321=↹⩛340002213","layer":3},{"info":"↹⩛340002213≋⫹=↹⩛-1120004430","layer":2},{"info":"↹⩛1155414541≒∊↹⩛-1120004430=↹⩛-1155412413","layer":1},{"info":"↹⩛4553⫒⫫↹⩛-1155412413=NaN","layer":0}]} +{"id":608,"expression_no_base_symbol":"(⩏⊷≩($2167$∘$1919$)∊∟⩊$1368$≴⪞⇿$1981$)⊵↤","expression":"(⩏⊷≩(↹⩛14011∘↹⩛12515)∊∟⩊↹⩛10200≴⪞⇿↹⩛13101)⊵↤","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1179,"operation_count":5,"complexity_ratio":235.8,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2167,"base":6},"right_expr":{"type":"numeric_atoms","value":1919,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1368,"base":6},"right_expr":{"type":"numeric_atoms","value":1981,"base":6}}}}},"used_operators":["7IPrd9c3lf","uOZ1tnYMDE","ddLRYrp01A","Z5m6OM72h2","lvlrscuwVU"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eH2TOUuTDT","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1919, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4334","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1981, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=2398284","layer":3},{"info":"compute binary expreesion, left_input=4334, right_input=2398284, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2398284","layer":2},{"info":"compute unary expreesion, input=2398284, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4796267","layer":1},{"info":"compute unary expreesion, input=4796267, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(⩏⊷≩(↹⩛14011∘↹⩛12515)∊∟⩊↹⩛10200≴⪞⇿↹⩛13101)⊵↤=↹⩛151","reverse_text":"↹⩛151=(⩏⊷≩(↹⩛14011∘↹⩛12515)∊∟⩊↹⩛10200≴⪞⇿↹⩛13101)⊵↤","cot":[{"info":"↹⩛14011∘↹⩛12515=↹⩛32022","layer":3},{"info":"↹⩛10200≴⪞⇿↹⩛13101=↹⩛123223100","layer":3},{"info":"↹⩛32022∊∟⩊↹⩛123223100=↹⩛123223100","layer":2},{"info":"⩏⊷≩↹⩛123223100=↹⩛250444535","layer":1},{"info":"↹⩛250444535⊵↤=↹⩛151","layer":0}]} +{"id":609,"expression_no_base_symbol":"(⊖∈(↩$6355$)⫯⪬∳($1625$⫥∨⫟$4713$))⋫","expression":"(⊖∈(↩↹⩛45231)⫯⪬∳(↹⩛11305⫥∨⫟↹⩛33453))⋫","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":236,"operation_count":5,"complexity_ratio":47.2,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6355,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1625,"base":6},"right_expr":{"type":"numeric_atoms","value":4713,"base":6}}}}},"used_operators":["JL8yIekQnl","YFxL8Sc2Zy","d7ASUq0ydm","jLgFTUHLKL","KYD54nUTWz"],"dependent_operators":["tmPS8pqC7x","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6355","layer":4},{"info":"compute unary expreesion, input=6355, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-48060","layer":3},{"info":"number node, value=1625","layer":4},{"info":"number node, value=4713","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=4713, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-48060, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=143707","layer":2},{"info":"compute unary expreesion, input=143707, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=2868546","layer":1},{"info":"compute unary expreesion, input=2868546, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊖∈(↩↹⩛45231)⫯⪬∳(↹⩛11305⫥∨⫟↹⩛33453))⋫=NaN","reverse_text":"NaN=(⊖∈(↩↹⩛45231)⫯⪬∳(↹⩛11305⫥∨⫟���⩛33453))⋫","cot":[{"info":"↩↹⩛45231=↹⩛-1010300","layer":3},{"info":"↹⩛11305⫥∨⫟↹⩛33453=NaN","layer":3},{"info":"↹⩛-1010300⫯⪬∳NaN=↹⩛3025151","layer":2},{"info":"⊖∈↹⩛3025151=↹⩛141252150","layer":1},{"info":"↹⩛141252150⋫=NaN","layer":0}]} +{"id":610,"expression_no_base_symbol":"((($1783$⊉≛↸$1119$)⇯⋐)⩨($4186$∠⫱$1987$)⩘($1671$%$3758$))⨐(⩷(⫶⊄≣(⪭⩑⪱$1389$)))","expression":"(((↹⩛12131⊉≛↸↹⩛5103)⇯⋐)⩨(↹⩛31214∠⫱↹⩛13111)⩘(↹⩛11423%↹⩛25222))⨐(⩷(⫶⊄≣(⪭⩑⪱↹⩛10233)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8336621,"operation_count":10,"complexity_ratio":833662.1,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1783,"base":6},"right_expr":{"type":"numeric_atoms","value":1119,"base":6}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4186,"base":6},"right_expr":{"type":"numeric_atoms","value":1987,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1671,"base":6},"right_expr":{"type":"numeric_atoms","value":3758,"base":6}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1389,"base":6}}}}},"used_operators":["Noe24qw2ks","2DlMacCsIx","LkLIoiE525","DZ8iAZOCBD","cHh1gJQ2o6","QvoQhV0rrE","k8jYdgA6NY","1h0rLqGiFr","wxb3vTeyAj","SIgE0bArFf"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1119, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3566","layer":3},{"info":"compute unary expreesion, input=3566, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=11576","layer":2},{"info":"number node, value=4186","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=1987, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=3758, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1671","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1671, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=11576, right_input=160, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1389","layer":4},{"info":"compute unary expreesion, input=1389, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛12131⊉≛↸↹⩛5103)⇯⋐)⩨(↹⩛31214∠⫱↹⩛13111)⩘(↹⩛11423%↹⩛25222))⨐(⩷(⫶⊄≣(⪭⩑⪱↹⩛10233)))=↹⩛0","reverse_text":"↹⩛0=(((↹⩛12131⊉≛↸↹⩛5103)⇯⋐)⩨(↹⩛31214∠⫱↹⩛13111)⩘(↹⩛11423%↹⩛25222))⨐(⩷(⫶⊄≣(⪭⩑⪱↹⩛10233)))","cot":[{"info":"↹⩛12131⊉≛↸↹⩛5103=↹⩛24302","layer":3},{"info":"↹⩛24302⇯⋐=↹⩛125332","layer":2},{"info":"↹⩛31214∠⫱↹⩛13111=↹⩛5414","layer":3},{"info":"↹⩛11423%↹⩛25222=↹⩛11423","layer":3},{"info":"↹⩛5414⩘↹⩛11423=↹⩛424","layer":2},{"info":"↹⩛125332⩨↹⩛424=↹⩛0","layer":1},{"info":"⪭⩑⪱↹⩛10233=↹⩛454202000","layer":3},{"info":"⫶⊄≣↹⩛454202000=NaN","layer":2},{"info":"⩷NaN=NaN","layer":1},{"info":"↹⩛0⨐NaN=↹⩛0","layer":0}]} +{"id":611,"expression_no_base_symbol":"($4096$⨜⨶$1992$↹⊜$8567$∊∟⩊$1689$)⪬(($3695$⪒$3939$)≦↸(⊵⊁$2050$))⩖⊿(⨞⊢$7557$⪟⇏$1503$)⇻⋧≁((↯⪼$6681$)⩅⪻⪻)","expression":"(↹⩛30544⨜⨶↹⩛13120↹⊜↹⩛103355∊∟⩊↹⩛11453)⪬((↹⩛25035⪒↹⩛30123)≦↸(⊵⊁↹⩛13254))⩖⊿(⨞⊢↹⩛54553⪟⇏↹⩛10543)⇻⋧≁((↯⪼↹⩛50533)⩅⪻⪻)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1100,"operation_count":13,"complexity_ratio":84.61538461538461,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4096,"base":6},"right_expr":{"type":"numeric_atoms","value":1992,"base":6}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":8567,"base":6},"right_expr":{"type":"numeric_atoms","value":1689,"base":6}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3695,"base":6},"right_expr":{"type":"numeric_atoms","value":3939,"base":6}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2050,"base":6}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":7557,"base":6},"right_expr":{"type":"numeric_atoms","value":1503,"base":6}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6681,"base":6}}}}},"used_operators":["RZ5CV9rWsJ","Ez1Nq5fNfI","9bazX3JMtO","HiPekx5b7W","ddLRYrp01A","RygbFNSyEJ","f6k1SAg4EE","AvED76WdY7","jCPkEVoL5K","xUOZtlo3hN","GODebY97qR","kHoXpA7yos","8jW3W4yZS5"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"↹⩛-103442","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4096","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=1992, 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=-3728","layer":3},{"info":"number node, value=8567","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=8567, right_input=1689, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1689","layer":3},{"info":"compute binary expreesion, left_input=-3728, right_input=1689, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-13608","layer":2},{"info":"number node, value=3695","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=3939, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7634","layer":3},{"info":"number node, value=2050","layer":4},{"info":"compute unary expreesion, input=2050, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=11230","layer":3},{"info":"compute binary expreesion, left_input=-7634, right_input=11230, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6511","layer":2},{"info":"compute binary expreesion, left_input=-13608, right_input=-6511, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=7557","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=7557, right_input=1503, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-173","layer":2},{"info":"number node, value=6681","layer":4},{"info":"compute unary expreesion, input=6681, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-173, right_input=3979, 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=1234, right_input=-447, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-8594","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30544⨜⨶↹⩛13120↹⊜↹⩛103355∊∟⩊↹⩛11453)⪬((↹⩛25035⪒↹⩛30123)≦↸(⊵⊁↹⩛13254))⩖⊿(⨞⊢↹⩛54553⪟⇏↹⩛10543)⇻⋧≁((↯⪼↹⩛50533)⩅⪻⪻)=↹⩛-103442","reverse_text":"↹⩛-103442=(↹⩛30544⨜⨶↹⩛13120↹⊜↹⩛103355∊∟⩊↹⩛11453)⪬((↹⩛25035⪒↹⩛30123)≦↸(⊵⊁↹⩛13254))⩖⊿(⨞⊢↹⩛54553⪟⇏↹⩛10543)⇻⋧≁((↯⪼↹⩛50533)⩅⪻⪻)","cot":[{"info":"↹⩛30544⨜⨶↹⩛13120=↹⩛-25132","layer":3},{"info":"↹⩛103355∊∟⩊↹⩛11453=↹⩛11453","layer":3},{"info":"↹⩛-25132↹⊜↹⩛11453=↹⩛-143000","layer":2},{"info":"↹⩛25035⪒↹⩛30123=↹⩛-55202","layer":3},{"info":"⊵⊁↹⩛13254=↹⩛123554","layer":3},{"info":"↹⩛-55202≦↸↹⩛123554=↹⩛-50051","layer":2},{"info":"↹⩛-143000⪬↹⩛-50051=↹⩛5414","layer":1},{"info":"↹⩛54553⪟⇏↹⩛10543=↹⩛-1","layer":3},{"info":"⨞⊢↹⩛-1=↹⩛-445","layer":2},{"info":"↯⪼↹⩛50533=↹⩛-33","layer":3},{"info":"↹⩛-33⩅⪻⪻=↹⩛30231","layer":2},{"info":"↹⩛-445⇻⋧≁↹⩛30231=↹⩛-2023","layer":1},{"info":"↹⩛5414⩖⊿↹⩛-2023=↹⩛-103442","layer":0}]} +{"id":612,"expression_no_base_symbol":"⊀(($5277$≚⋢)⩧⪆($1016$⨵⪆$6702$))⨚((⫓⪴$7346$)⋻⩜⩜($4063$⊘))","expression":"⊀((↹⩛40233≚⋢)⩧⪆(↹⩛4412⨵⪆↹⩛51010))⨚((⫓⪴↹⩛54002)⋻⩜⩜(↹⩛30451⊘))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7500,"operation_count":8,"complexity_ratio":937.5,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":5277,"base":6}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1016,"base":6},"right_expr":{"type":"numeric_atoms","value":6702,"base":6}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7346,"base":6}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4063,"base":6}}}}},"used_operators":["oPMjh9089D","nREPSIbpBE","Ikt5ks8PT7","MahUMFw56D","2DQ55sFlQl","oDCm7WA9JY","eLxqMNBOBk","gu96TGCTMs"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5277","layer":4},{"info":"compute unary expreesion, input=5277, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=6702","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=6702, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-160","layer":2},{"info":"number node, value=7346","layer":4},{"info":"compute unary expreesion, input=7346, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=53963716","layer":3},{"info":"number node, value=4063","layer":4},{"info":"compute unary expreesion, input=4063, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=53963716, 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=107927432","layer":2},{"info":"compute binary expreesion, left_input=-160, right_input=107927432, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-431709114","layer":1},{"info":"compute unary expreesion, input=-431709114, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=inf","layer":0}],"base":6,"result_base":6,"text":"⊀((↹⩛40233≚⋢)⩧⪆(↹⩛4412⨵⪆↹⩛51010))⨚((⫓⪴↹⩛54002)⋻⩜⩜(↹⩛30451⊘))=Inf","reverse_text":"Inf=⊀((↹⩛40233≚⋢)⩧⪆(↹⩛4412⨵⪆↹⩛51010))⨚((⫓⪴↹⩛54002)⋻⩜⩜(↹⩛30451⊘))","cot":[{"info":"↹⩛40233≚⋢=↹⩛-225","layer":3},{"info":"↹⩛4412⨵⪆↹⩛51010=↹⩛424","layer":3},{"info":"↹⩛-225⩧⪆↹⩛424=↹⩛-424","layer":2},{"info":"⫓⪴↹⩛54002=↹⩛5204344004","layer":3},{"info":"↹⩛30451⊘=↹⩛0","layer":3},{"info":"↹⩛5204344004⋻⩜⩜↹⩛0=↹⩛14413132012","layer":2},{"info":"↹⩛-424⨚↹⩛14413132012=↹⩛-110501005150","layer":1},{"info":"⊀↹⩛-110501005150=Inf","layer":0}]} +{"id":613,"expression_no_base_symbol":"(↯⪼($3471$⪇≇⋚$8645$))⪎↠(⩩($5318$∠↢$1894$))⩷∴(($1180$↸$9081$⨑≵⋬$2801$⨻⩈⩔$1114$)⋹)","expression":"(↯⪼(↹⩛24023⪇≇⋚↹⩛104005))⪎↠(⩩(↹⩛40342∠↢↹⩛12434))⩷∴((↹⩛5244↸↹⩛110013⨑≵⋬↹⩛20545⨻⩈⩔↹⩛5054)⋹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49087,"operation_count":10,"complexity_ratio":4908.7,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3471,"base":6},"right_expr":{"type":"numeric_atoms","value":8645,"base":6}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5318,"base":6},"right_expr":{"type":"numeric_atoms","value":1894,"base":6}}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1180,"base":6},"right_expr":{"type":"numeric_atoms","value":9081,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2801,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}}}}},"used_operators":["9FxExcQeMw","3tVxb0NHM4","8jW3W4yZS5","3sJ7IOPOlU","kMhfGuqI2H","KbjG8mgYpV","opAxDRczMr","XnXgA4xnOs","1eCjFl0mb9","nEsXyWgiOK"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"↹⩛11514","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3471","layer":4},{"info":"number node, value=8645","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=8645, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=5318","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=1894, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-46706","layer":3},{"info":"compute unary expreesion, input=-46706, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=847","layer":1},{"info":"number node, value=1180","layer":4},{"info":"number node, value=9081","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=9081, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1180","layer":3},{"info":"number node, value=2801","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=1114, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14007","layer":3},{"info":"compute binary expreesion, left_input=1180, right_input=14007, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-90770","layer":2},{"info":"compute unary expreesion, input=-90770, 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=847, right_input=-20, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1702","layer":0}],"base":6,"result_base":6,"text":"(↯⪼(↹⩛24023⪇≇⋚↹⩛104005))⪎↠(⩩(↹⩛40342∠↢↹⩛12434))⩷∴((↹⩛5244↸↹⩛110013⨑≵⋬↹⩛20545⨻⩈⩔↹⩛5054)⋹)=↹⩛11514","reverse_text":"↹⩛11514=(↯⪼(↹⩛24023⪇≇⋚↹⩛104005))⪎↠(⩩(↹⩛40342∠↢↹⩛12434))⩷∴((↹⩛5244↸↹⩛110013⨑≵⋬↹⩛20545⨻⩈⩔↹⩛5054)⋹)","cot":[{"info":"↹⩛24023⪇≇⋚↹⩛104005=↹⩛0","layer":3},{"info":"↯⪼↹⩛0=↹⩛-33","layer":2},{"info":"↹⩛40342∠↢↹⩛12434=↹⩛-1000122","layer":3},{"info":"⩩↹⩛-1000122=NaN","layer":2},{"info":"↹⩛-33⪎↠NaN=↹⩛3531","layer":1},{"info":"↹⩛5244↸↹⩛110013=↹⩛5244","layer":3},{"info":"↹⩛20545⨻⩈⩔↹⩛5054=↹⩛144503","layer":3},{"info":"↹⩛5244⨑≵⋬↹⩛144503=↹⩛-1540122","layer":2},{"info":"↹⩛-1540122⋹=↹⩛-32","layer":1},{"info":"↹⩛3531⩷∴↹⩛-32=↹⩛11514","layer":0}]} +{"id":614,"expression_no_base_symbol":"($1539$*$1221$⫌⩉⩟($1067$⨕⋳)∽((⨭⩧⫛$1886$)∐⫣))⊊","expression":"(↹⩛11043*↹⩛5353⫌⩉⩟(↹⩛4535⨕⋳)∽((⨭⩧⫛↹⩛12422)∐⫣))⊊","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":71817,"operation_count":7,"complexity_ratio":10259.57142857143,"tree":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1539,"base":6},"right_expr":{"type":"numeric_atoms","value":1221,"base":6}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1067,"base":6}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1886,"base":6}}}}},"used_operators":["W9R8I5fN5A","y4ImoPnbV5","XIIwhv8d0m","9HNa5Wba9A","4X4GscPmMf","4CyGpkTkEk","g21JL6JxX7"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","NTOWxs364D","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=1221, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1879119","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=13524","layer":3},{"info":"compute binary expreesion, left_input=1879119, right_input=13524, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11043*↹⩛5353⫌⩉⩟(↹⩛4535⨕⋳)∽((⨭⩧⫛↹⩛12422)∐⫣))⊊=NaN","reverse_text":"NaN=(↹⩛11043*↹⩛5353⫌⩉⩟(↹⩛4535⨕⋳)∽((⨭⩧⫛↹⩛12422)∐⫣))⊊","cot":[{"info":"↹⩛11043*↹⩛5353=↹⩛104135343","layer":3},{"info":"↹⩛4535⨕⋳=↹⩛142340","layer":3},{"info":"↹⩛104135343⫌⩉⩟↹⩛142340=↹⩛-122","layer":2},{"info":"⨭⩧⫛↹⩛12422=NaN","layer":3},{"info":"NaN∐⫣=NaN","layer":2},{"info":"↹⩛-122∽NaN=NaN","layer":1},{"info":"NaN⊊=NaN","layer":0}]} +{"id":615,"expression_no_base_symbol":"(($1429$%$1653$)⫒⫫($8370$⇄$1034$))⨽∌((⨂⪏⇭$7809$)⩧⪆$5498$⩼⇪↪$4782$)∖($2959$∪⫐$4466$)⊕∕($1372$≥⨤⩑$3298$)⊨($3419$∽$4058$)⨪↰⇹($6470$⨎$6169$)","expression":"((↹⩛10341%↹⩛11353)⫒⫫(↹⩛102430⇄↹⩛4442))⨽∌((⨂⪏⇭↹⩛100053)⩧⪆↹⩛41242⩼⇪↪↹⩛34050)∖(↹⩛21411∪⫐↹⩛32402)⊕∕(↹⩛10204≥⨤⩑↹⩛23134)⊨(↹⩛23455∽↹⩛30442)⨪↰⇹(↹⩛45542⨎↹⩛44321)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30406,"operation_count":15,"complexity_ratio":2027.0666666666666,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1429,"base":6},"right_expr":{"type":"numeric_atoms","value":1653,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":8370,"base":6},"right_expr":{"type":"numeric_atoms","value":1034,"base":6}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":7809,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5498,"base":6},"right_expr":{"type":"numeric_atoms","value":4782,"base":6}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2959,"base":6},"right_expr":{"type":"numeric_atoms","value":4466,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1372,"base":6},"right_expr":{"type":"numeric_atoms","value":3298,"base":6}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3419,"base":6},"right_expr":{"type":"numeric_atoms","value":4058,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6470,"base":6},"right_expr":{"type":"numeric_atoms","value":6169,"base":6}}}}},"used_operators":["tXD093vOjl","9samAPKr6k","6Ko8hGgeMq","k8jYdgA6NY","3EYGwJThht","Ikt5ks8PT7","AYdpE9sXAk","ocnLzx9CaJ","vg4gO5BX6G","9cloC0Ngie","7YooWSwCyH","gJLn6v0xnP","tmPS8pqC7x","y4ImoPnbV5","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rJVOvQCfKK","2DDjHMKMc0","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=1653, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1429","layer":3},{"info":"number node, value=8370","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=8370, right_input=1034, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1429, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=7809","layer":4},{"info":"compute unary expreesion, input=7809, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=22448","layer":3},{"info":"number node, value=5498","layer":4},{"info":"number node, value=4782","layer":4},{"info":"compute binary expreesion, left_input=5498, right_input=4782, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-23261","layer":3},{"info":"compute binary expreesion, left_input=22448, right_input=-23261, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=23261","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23261, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=2959","layer":4},{"info":"number node, value=4466","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=4466, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2959","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=3298, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2959, right_input=1234, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2959","layer":2},{"info":"number node, value=3419","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=3419, right_input=4058, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-29091","layer":3},{"info":"number node, value=6470","layer":4},{"info":"number node, value=6169","layer":4},{"info":"compute binary expreesion, left_input=6470, right_input=6169, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6169","layer":3},{"info":"compute binary expreesion, left_input=-29091, right_input=6169, 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=29091","layer":2},{"info":"compute binary expreesion, left_input=2959, right_input=29091, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12867","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=12867, 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":6,"result_base":6,"text":"((↹⩛10341%↹⩛11353)⫒⫫(↹⩛102430⇄↹⩛4442))⨽∌((⨂⪏⇭↹⩛100053)⩧⪆↹⩛41242⩼⇪↪↹⩛34050)∖(↹⩛21411∪⫐↹⩛32402)⊕∕(↹⩛10204≥⨤⩑↹⩛23134)⊨(↹⩛23455∽↹⩛30442)⨪↰⇹(↹⩛45542⨎↹⩛44321)=↹⩛0","reverse_text":"↹⩛0=((↹⩛10341%↹⩛11353)⫒⫫(↹⩛102430⇄↹⩛4442))⨽∌((⨂⪏⇭↹⩛100053)⩧⪆↹⩛41242⩼⇪↪↹⩛34050)∖(↹⩛21411∪⫐↹⩛32402)⊕∕(↹⩛10204≥⨤⩑↹⩛23134)⊨(↹⩛23455∽↹⩛30442)⨪↰⇹(↹⩛45542⨎↹⩛44321)","cot":[{"info":"↹⩛10341%↹⩛11353=↹⩛10341","layer":3},{"info":"↹⩛102430⇄↹⩛4442=↹⩛0","layer":3},{"info":"↹⩛10341⫒⫫↹⩛0=NaN","layer":2},{"info":"⨂⪏⇭↹⩛100053=↹⩛251532","layer":3},{"info":"↹⩛41242⩼⇪↪↹⩛34050=↹⩛-255405","layer":3},{"info":"↹⩛251532⩧⪆↹⩛-255405=↹⩛255405","layer":2},{"info":"NaN⨽∌↹⩛255405=↹⩛0","layer":1},{"info":"↹⩛21411∪⫐↹⩛32402=↹⩛21411","layer":3},{"info":"↹⩛10204≥⨤⩑↹⩛23134=↹⩛5414","layer":3},{"info":"↹⩛21411⊕∕↹⩛5414=↹⩛21411","layer":2},{"info":"↹⩛23455∽↹⩛30442=↹⩛-342403","layer":3},{"info":"↹⩛45542⨎↹⩛44321=↹⩛44321","layer":3},{"info":"↹⩛-342403⨪↰⇹↹⩛44321=↹⩛342403","layer":2},{"info":"↹⩛21411⊨↹⩛342403=↹⩛135323","layer":1},{"info":"↹⩛0∖↹⩛135323=↹⩛0","layer":0}]} +{"id":616,"expression_no_base_symbol":"(($3938$∴≳≥)⫳≱↱$3829$⪟⇏$2970$∖$2280$⇻⋧≁$4675$⩇∃⫛($4973$⩒⫫$1182$))∣($1424$∘$3710$⫉⨲⊜($2633$⫡⨏$1684$)⨚⇆(⨞⊢$6864$)↬($2987$⋅⇍$7891$))","expression":"((↹⩛30122∴≳≥)⫳≱↱↹⩛25421⪟⇏↹⩛21430∖↹⩛14320⇻⋧≁↹⩛33351⩇∃⫛(↹⩛35005⩒⫫↹⩛5250))∣(↹⩛10332∘↹⩛25102⫉⨲⊜(↹⩛20105⫡⨏↹⩛11444)⨚⇆(⨞⊢↹⩛51440)↬(↹⩛21455⋅⇍↹⩛100311))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2846,"operation_count":15,"complexity_ratio":189.73333333333332,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":3938,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3829,"base":6},"right_expr":{"type":"numeric_atoms","value":2970,"base":6}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2280,"base":6},"right_expr":{"type":"numeric_atoms","value":4675,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4973,"base":6},"right_expr":{"type":"numeric_atoms","value":1182,"base":6}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1424,"base":6},"right_expr":{"type":"numeric_atoms","value":3710,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2633,"base":6},"right_expr":{"type":"numeric_atoms","value":1684,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6864,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2987,"base":6},"right_expr":{"type":"numeric_atoms","value":7891,"base":6}}}}},"used_operators":["PPChnnnBFF","tXD093vOjl","ZvLB05nZmT","a3N2hFLK0J","GODebY97qR","1aApVXNlOP","jCPkEVoL5K","KFSx94NKJn","lwHaAYXP2r","WhqkvtTD3t","Z5m6OM72h2","QMFrweE19q","B5M0gjZbta","xUOZtlo3hN","AdZkA7nFnk"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","zVYPLywUTj","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"↹⩛4233","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3938","layer":4},{"info":"compute unary expreesion, input=3938, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=15752","layer":3},{"info":"number node, value=3829","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=3829, right_input=2970, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=15752, right_input=-1, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-470","layer":2},{"info":"number node, value=2280","layer":4},{"info":"number node, value=4675","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=4675, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4973","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=4973, right_input=1182, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4671","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=4671, 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=-447","layer":2},{"info":"compute binary expreesion, left_input=-470, right_input=-447, 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=1424","layer":4},{"info":"number node, value=3710","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=3710, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2848","layer":3},{"info":"number node, value=2633","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=1684, 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=17316","layer":3},{"info":"compute binary expreesion, left_input=2848, right_input=17316, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=6864","layer":4},{"info":"compute unary expreesion, input=6864, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7038","layer":3},{"info":"number node, value=2987","layer":4},{"info":"number node, value=7891","layer":4},{"info":"compute binary expreesion, left_input=2987, right_input=7891, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-7038, right_input=-22, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=957","layer":0}],"base":6,"result_base":6,"text":"((↹⩛30122∴≳≥)⫳≱↱↹⩛25421⪟⇏↹⩛21430∖↹⩛14320⇻⋧≁↹⩛33351⩇∃⫛(↹⩛35005⩒⫫↹⩛5250))∣(↹⩛10332∘↹⩛25102⫉⨲⊜(↹⩛20105⫡⨏↹⩛11444)⨚⇆(⨞⊢↹⩛51440)↬(↹⩛21455⋅⇍↹⩛100311))=↹⩛4233","reverse_text":"↹⩛4233=((↹⩛30122∴≳≥)⫳≱↱↹⩛25421⪟⇏↹⩛21430∖↹⩛14320⇻⋧≁↹⩛33351⩇∃⫛(↹⩛35005⩒⫫↹⩛5250))∣(↹⩛10332∘↹⩛25102⫉⨲⊜(↹⩛20105⫡⨏↹⩛11444)⨚⇆(⨞⊢↹⩛51440)↬(↹⩛21455⋅⇍↹⩛100311))","cot":[{"info":"↹⩛30122∴≳≥=↹⩛200532","layer":3},{"info":"↹⩛25421⪟⇏↹⩛21430=↹⩛-1","layer":3},{"info":"↹⩛200532⫳≱↱↹⩛-1=↹⩛-2102","layer":2},{"info":"↹⩛14320⇻⋧≁↹⩛33351=↹⩛-2023","layer":3},{"info":"↹⩛35005⩒⫫↹⩛5250=↹⩛33343","layer":3},{"info":"↹⩛-2023⩇∃⫛↹⩛33343=↹⩛-2023","layer":2},{"info":"↹⩛-2102∖↹⩛-2023=↹⩛0","layer":1},{"info":"↹⩛10332∘↹⩛25102=↹⩛21104","layer":3},{"info":"↹⩛20105⫡⨏↹⩛11444=↹⩛212100","layer":3},{"info":"↹⩛21104⫉⨲⊜↹⩛212100=↹⩛0","layer":2},{"info":"⨞⊢↹⩛51440=↹⩛-52330","layer":3},{"info":"↹⩛21455⋅⇍↹⩛100311=↹⩛-34","layer":3},{"info":"↹⩛-52330↬↹⩛-34=NaN","layer":2},{"info":"↹⩛0⨚⇆NaN=-Inf","layer":1},{"info":"↹⩛0∣-Inf=↹⩛4233","layer":0}]} +{"id":617,"expression_no_base_symbol":"($5599$⪁$1669$)∛$1518$↳∿⪆$3131$≳⇉($1635$⨒$6220$)⪔⊥(⨭⩧⫛$1602$)⊅","expression":"(↹⩛41531⪁↹⩛11421)∛↹⩛11010↳∿⪆↹⩛22255≳⇉(↹⩛11323⨒↹⩛44444)⪔⊥(⨭⩧⫛↹⩛11230)⊅","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":40369721,"operation_count":8,"complexity_ratio":5046215.125,"tree":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5599,"base":6},"right_expr":{"type":"numeric_atoms","value":1669,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1518,"base":6},"right_expr":{"type":"numeric_atoms","value":3131,"base":6}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1635,"base":6},"right_expr":{"type":"numeric_atoms","value":6220,"base":6}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1602,"base":6}}}}},"used_operators":["7p6YLioM7f","V0kx6qeWkN","w2537kitQq","I7sXao9hZE","Cw4SuJJGHO","HJ9erzHUuu","y75s1iXyHd","g21JL6JxX7"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"↹⩛210243","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5599","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=5599, right_input=1669, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=3131, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1635","layer":4},{"info":"number node, value=6220","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=6220, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9438","layer":3},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9438, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41531⪁↹⩛11421)∛↹⩛11010↳∿⪆↹⩛22255≳⇉(↹⩛11323⨒↹⩛44444)⪔⊥(⨭⩧⫛↹⩛11230)⊅=↹⩛210243","reverse_text":"↹⩛210243=(↹⩛41531⪁↹⩛11421)∛↹⩛11010↳∿⪆↹⩛22255≳⇉(↹⩛11323⨒↹⩛44444)⪔⊥(⨭⩧⫛↹⩛11230)⊅","cot":[{"info":"↹⩛41531⪁↹⩛11421=NaN","layer":3},{"info":"↹⩛11010↳∿⪆↹⩛22255=NaN","layer":3},{"info":"NaN∛NaN=↹⩛151","layer":2},{"info":"↹⩛11323⨒↹⩛44444=↹⩛-111410","layer":3},{"info":"⨭⩧⫛↹⩛11230=NaN","layer":3},{"info":"↹⩛-111410⪔⊥NaN=NaN","layer":2},{"info":"↹⩛151≳⇉NaN=NaN","layer":1},{"info":"NaN⊅=↹⩛210243","layer":0}]} +{"id":618,"expression_no_base_symbol":"((≘$4843$)⋥⋵⩄($9067$⊾⪯⋞$1130$))↓($6006$≧⫂∧$1426$)⩦($2407$⫿)⇞","expression":"((≘↹⩛34231)⋥⋵⩄(↹⩛105551⊾⪯⋞↹⩛5122))↓(↹⩛43450≧⫂∧↹⩛10334)⩦(↹⩛15051⫿)⇞","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27298,"operation_count":8,"complexity_ratio":3412.25,"tree":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4843,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":9067,"base":6},"right_expr":{"type":"numeric_atoms","value":1130,"base":6}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6006,"base":6},"right_expr":{"type":"numeric_atoms","value":1426,"base":6}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2407,"base":6}}}}},"used_operators":["5JYyxRJd4f","Af076pWI7l","7t3wd0Fuz7","tcjXMdvYtA","HK0tfVPux8","0kmYd0q39Y","Ph9nP6C5qx","9tKT6PmtkH"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"↹⩛-2253","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4843","layer":4},{"info":"compute unary expreesion, input=4843, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10679599","layer":3},{"info":"number node, value=9067","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=9067, right_input=1130, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1834","layer":3},{"info":"compute binary expreesion, left_input=10679599, right_input=1834, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=6006","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=6006, right_input=1426, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=953","layer":3},{"info":"number node, value=2407","layer":4},{"info":"compute unary expreesion, input=2407, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2407","layer":3},{"info":"compute binary expreesion, left_input=953, right_input=2407, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=1906","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=1906, 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 = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":0}],"base":6,"result_base":6,"text":"((≘↹⩛34231)⋥⋵⩄(↹⩛105551⊾⪯⋞↹⩛5122))↓(↹⩛43450≧⫂∧↹⩛10334)⩦(↹⩛15051⫿)⇞=↹⩛-2253","reverse_text":"↹⩛-2253=((≘↹⩛34231)⋥⋵⩄(↹⩛105551⊾⪯⋞↹⩛5122))↓(↹⩛43450≧⫂∧↹⩛10334)⩦(↹⩛15051⫿)⇞","cot":[{"info":"≘↹⩛34231=↹⩛1020522331","layer":3},{"info":"↹⩛105551⊾⪯⋞↹⩛5122=↹⩛12254","layer":3},{"info":"↹⩛1020522331⋥⋵⩄↹⩛12254=↹⩛305","layer":2},{"info":"↹⩛43450≧⫂∧↹⩛10334=↹⩛4225","layer":3},{"info":"↹⩛15051⫿=↹⩛15051","layer":3},{"info":"↹⩛4225⩦↹⩛15051=↹⩛12454","layer":2},{"info":"↹⩛305↓↹⩛12454=↹⩛-342","layer":1},{"info":"↹⩛-342⇞=↹⩛-2253","layer":0}]} +{"id":619,"expression_no_base_symbol":"(⪸(⫛⫱⨽$2007$))⊝⪿⪼(⩰(⨈⪑$1750$))⨰(($2025$⊝⪿⪼$6249$)⨫⇇↔($3451$⪨⊡$4839$))⊴((⊿$5429$)↡⊰⫅($6003$⇟⨁⪰))","expression":"(⪸(⫛⫱⨽↹⩛13143))⊝⪿⪼(⩰(⨈⪑↹⩛12034))⨰((↹⩛13213⊝⪿⪼↹⩛44533)⨫⇇↔(↹⩛23551⪨⊡↹⩛34223))⊴((⊿↹⩛41045)↡⊰⫅(↹⩛43443⇟⨁⪰))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":88149,"operation_count":13,"complexity_ratio":6780.692307692308,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2007,"base":6}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1750,"base":6}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2025,"base":6},"right_expr":{"type":"numeric_atoms","value":6249,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3451,"base":6},"right_expr":{"type":"numeric_atoms","value":4839,"base":6}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5429,"base":6}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":6003,"base":6}}}}},"used_operators":["eewbuw0ToL","3Oe9XWJUTD","86A5ENbKR9","DlLNRPXxWL","WkeUrDK8WX","mp94q5OcYM","Nsiff2A1zJ","LXhwmt4mBO","kuIXHzHcAH","VCtxkLNOzz","DO4fhlbJSI","BX1lVwlMe0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","14qkJME0vr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","2DDjHMKMc0","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"compute unary expreesion, input=2007, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2273","layer":2},{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1868","layer":2},{"info":"compute binary expreesion, left_input=2273, right_input=-1868, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=43129","layer":1},{"info":"number node, value=2025","layer":4},{"info":"number node, value=6249","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=6249, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=40307","layer":3},{"info":"number node, value=3451","layer":4},{"info":"number node, value=4839","layer":4},{"info":"compute binary expreesion, left_input=3451, right_input=4839, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=40307, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=5429","layer":4},{"info":"compute unary expreesion, input=5429, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-22454","layer":3},{"info":"number node, value=6003","layer":4},{"info":"compute unary expreesion, input=6003, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-6177","layer":3},{"info":"compute binary expreesion, left_input=-22454, right_input=-6177, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=43129, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪸(⫛⫱⨽↹⩛13143))⊝⪿⪼(⩰(⨈⪑↹⩛12034))⨰((↹⩛13213⊝⪿⪼↹⩛44533)⨫⇇↔(↹⩛23551⪨⊡↹⩛34223))⊴((⊿↹⩛41045)↡⊰⫅(↹⩛43443⇟⨁⪰))=NaN","reverse_text":"NaN=(⪸(⫛⫱⨽↹⩛13143))⊝⪿⪼(⩰(⨈⪑↹⩛12034))⨰((↹⩛13213⊝⪿⪼↹⩛44533)⨫⇇↔(↹⩛23551⪨⊡↹⩛34223))⊴((⊿↹⩛41045)↡⊰⫅(↹⩛43443⇟⨁⪰))","cot":[{"info":"⫛⫱⨽↹⩛13143=↹⩛0","layer":3},{"info":"⪸↹⩛0=↹⩛14305","layer":2},{"info":"⨈⪑↹⩛12034=↹⩛4004","layer":3},{"info":"⩰↹⩛4004=↹⩛-12352","layer":2},{"info":"↹⩛14305⊝⪿⪼↹⩛-12352=↹⩛531401","layer":1},{"info":"↹⩛13213⊝⪿⪼↹⩛44533=↹⩛510335","layer":3},{"info":"↹⩛23551⪨⊡↹⩛34223=↹⩛0","layer":3},{"info":"↹⩛510335⨫⇇↔↹⩛0=↹⩛-2235","layer":2},{"info":"⊿↹⩛41045=↹⩛-251542","layer":3},{"info":"↹⩛43443⇟⨁⪰=↹⩛-44333","layer":3},{"info":"↹⩛-251542↡⊰⫅↹⩛-44333=NaN","layer":2},{"info":"↹⩛-2235⊴NaN=NaN","layer":1},{"info":"↹⩛531401⨰NaN=NaN","layer":0}]} +{"id":620,"expression_no_base_symbol":"(⩎⋉($4948$⩁⩘$2987$⋻⩜⩜$5628$⪥$4327$))⋾⨃∁(⊄⩳↩(∜⨇($1267$⇷$3372$)))","expression":"(⩎⋉(↹⩛34524⩁⩘↹⩛21455⋻⩜⩜↹⩛42020⪥↹⩛32011))⋾⨃∁(⊄⩳↩(∜⨇(↹⩛5511⇷↹⩛23340)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":398255,"operation_count":8,"complexity_ratio":49781.875,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4948,"base":6},"right_expr":{"type":"numeric_atoms","value":2987,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5628,"base":6},"right_expr":{"type":"numeric_atoms","value":4327,"base":6}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1267,"base":6},"right_expr":{"type":"numeric_atoms","value":3372,"base":6}}}}},"used_operators":["212REbPD9h","FlXk3pOYe8","oDCm7WA9JY","gub5Cegaqo","QbnwKVWMIQ","8w2t5hMYqp","uFPyJr306J","mp7IySMOzn"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","IWmyXbctLI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4948","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=4948, right_input=2987, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12896","layer":3},{"info":"number node, value=5628","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=5628, right_input=4327, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=27164","layer":3},{"info":"compute binary expreesion, left_input=12896, right_input=27164, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=25792","layer":2},{"info":"compute unary expreesion, input=25792, 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":"number node, value=1267","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=3372, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6744","layer":3},{"info":"compute unary expreesion, input=6744, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1650, 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":6,"result_base":6,"text":"(⩎⋉(↹⩛34524⩁⩘↹⩛21455⋻⩜⩜↹⩛42020⪥↹⩛32011))⋾⨃∁(⊄⩳↩(∜⨇(↹⩛5511⇷↹⩛23340)))=NaN","reverse_text":"NaN=(⩎⋉(↹⩛34524⩁⩘↹⩛21455⋻⩜⩜↹⩛42020⪥↹⩛32011))⋾⨃∁(⊄⩳↩(∜⨇(↹⩛5511⇷↹⩛23340)))","cot":[{"info":"↹⩛34524⩁⩘↹⩛21455=↹⩛135412","layer":3},{"info":"↹⩛42020⪥↹⩛32011=↹⩛325432","layer":3},{"info":"↹⩛135412⋻⩜⩜↹⩛325432=↹⩛315224","layer":2},{"info":"⩎⋉↹⩛315224=↹⩛11350","layer":1},{"info":"↹⩛5511⇷↹⩛23340=↹⩛51120","layer":3},{"info":"∜⨇↹⩛51120=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"↹⩛11350⋾⨃∁NaN=NaN","layer":0}]} +{"id":621,"expression_no_base_symbol":"(⊢≑≆(⊤⊝$1302$))⩖⊿(($7630$≥⨤⩑$4359$)+⪬∐$2824$∴$1731$)+⇶⊼(($6558$∵≐)⩇∃⫛($1236$∖$2839$))⩇∃⫛(↸⊣($6523$⪛$2354$))","expression":"(⊢≑≆(⊤⊝↹⩛10010))⩖⊿((↹⩛55154≥⨤⩑↹⩛32103)+⪬∐↹⩛21024∴↹⩛12003)+⇶⊼((↹⩛50210∵≐)⩇∃⫛(↹⩛5420∖↹⩛21051))⩇∃⫛(↸⊣(↹⩛50111⪛↹⩛14522))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":524,"operation_count":13,"complexity_ratio":40.30769230769231,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1302,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7630,"base":6},"right_expr":{"type":"numeric_atoms","value":4359,"base":6}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2824,"base":6},"right_expr":{"type":"numeric_atoms","value":1731,"base":6}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":6558,"base":6}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1236,"base":6},"right_expr":{"type":"numeric_atoms","value":2839,"base":6}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6523,"base":6},"right_expr":{"type":"numeric_atoms","value":2354,"base":6}}}}},"used_operators":["TpPTUOHfaN","RZ5CV9rWsJ","27wFxooxGf","rXAclfmB4M","2GS7woTJqF","gJLn6v0xnP","hrf7POJlIJ","1aApVXNlOP","59igzFyhWz","tXD093vOjl","wztAlM01eG","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","sdazOOVcIp","g55IO6H4Gj","D4vGDi5EA2","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1306","layer":3},{"info":"compute unary expreesion, input=1306, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=5676","layer":2},{"info":"number node, value=7630","layer":4},{"info":"number node, value=4359","layer":4},{"info":"compute binary expreesion, left_input=7630, right_input=4359, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2824","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=1731, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7296","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=7296, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3702","layer":2},{"info":"compute binary expreesion, left_input=5676, right_input=-3702, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-52402","layer":1},{"info":"number node, value=6558","layer":4},{"info":"compute unary expreesion, input=6558, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=5612","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=2839, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5612, 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=-5139","layer":2},{"info":"number node, value=6523","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=6523, right_input=2354, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1815","layer":3},{"info":"compute unary expreesion, input=1815, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1528","layer":2},{"info":"compute binary expreesion, left_input=-5139, right_input=-1528, 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=-5139","layer":1},{"info":"compute binary expreesion, left_input=-52402, right_input=-5139, 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":6,"result_base":6,"text":"(⊢≑≆(⊤⊝↹⩛10010))⩖⊿((↹⩛55154≥⨤⩑↹⩛32103)+⪬∐↹⩛21024∴↹⩛12003)+⇶⊼((↹⩛50210∵≐)⩇∃⫛(↹⩛5420∖↹⩛21051))⩇∃⫛(↸⊣(↹⩛50111⪛↹⩛14522))=NaN","reverse_text":"NaN=(⊢≑≆(⊤⊝↹⩛10010))⩖⊿((↹⩛55154≥⨤⩑↹⩛32103)+⪬∐↹⩛21024∴↹⩛12003)+⇶⊼((↹⩛50210∵≐)⩇∃⫛(↹⩛5420∖↹⩛21051))⩇∃⫛(↸⊣(↹⩛50111⪛↹⩛14522))","cot":[{"info":"⊤⊝↹⩛10010=↹⩛10014","layer":3},{"info":"⊢≑≆↹⩛10014=↹⩛42140","layer":2},{"info":"↹⩛55154≥⨤⩑↹⩛32103=↹⩛5414","layer":3},{"info":"↹⩛21024∴↹⩛12003=↹⩛53440","layer":3},{"info":"↹⩛5414+⪬∐↹⩛53440=↹⩛-25050","layer":2},{"info":"↹⩛42140⩖⊿↹⩛-25050=↹⩛-1042334","layer":1},{"info":"↹⩛50210∵≐=↹⩛41552","layer":3},{"info":"↹⩛5420∖↹⩛21051=↹⩛0","layer":3},{"info":"↹⩛41552⩇∃⫛↹⩛0=↹⩛-35443","layer":2},{"info":"↹⩛50111⪛↹⩛14522=↹⩛12223","layer":3},{"info":"↸⊣↹⩛12223=↹⩛-11024","layer":2},{"info":"↹⩛-35443⩇∃⫛↹⩛-11024=↹⩛-35443","layer":1},{"info":"↹⩛-1042334+⇶⊼↹⩛-35443=NaN","layer":0}]} +{"id":622,"expression_no_base_symbol":"((⫖→$2858$⩖⊿$2847$)∴≳≥)⊝","expression":"((⫖→↹⩛21122⩖⊿↹⩛21103)∴≳≥)⊝","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11494,"operation_count":4,"complexity_ratio":2873.5,"tree":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2858,"base":6},"right_expr":{"type":"numeric_atoms","value":2847,"base":6}}}}},"used_operators":["O6EZ0fifGK","a3N2hFLK0J","U4ylXWHChL","RZ5CV9rWsJ"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛3140","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2858","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=2858, right_input=2847, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=11262","layer":3},{"info":"compute unary expreesion, input=11262, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=708","layer":1},{"info":"compute unary expreesion, input=708, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=708","layer":0}],"base":6,"result_base":6,"text":"((⫖→↹⩛21122⩖⊿↹⩛21103)∴≳≥)⊝=↹⩛3140","reverse_text":"↹⩛3140=((⫖→↹⩛21122⩖⊿↹⩛21103)∴≳≥)⊝","cot":[{"info":"↹⩛21122⩖⊿↹⩛21103=↹⩛124050","layer":3},{"info":"⫖→↹⩛124050=↹⩛453","layer":2},{"info":"↹⩛453∴≳≥=↹⩛3140","layer":1},{"info":"↹⩛3140⊝=↹⩛3140","layer":0}]} +{"id":623,"expression_no_base_symbol":"(($5456$⊴$1522$)⨐($1366$⊉≛↸$1683$)⫲≸⪮(($7840$⇚⪠)∷))∇⊂⋱(($8532$⊜)⨰$1220$⩌⋺$7242$⊉≛↸(≻⋜$4067$)⪟⇏($5157$≳⇉$5121$))","expression":"((↹⩛41132⊴↹⩛11014)⨐(↹⩛10154⊉≛↸↹⩛11443)⫲≸⪮((↹⩛100144⇚⪠)∷))∇⊂⋱((↹⩛103300⊜)⨰↹⩛5352⩌⋺↹⩛53310⊉≛↸(≻⋜↹⩛30455)⪟⇏(↹⩛35513≳⇉↹⩛35413))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":280167071,"operation_count":14,"complexity_ratio":20011933.64285714,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5456,"base":6},"right_expr":{"type":"numeric_atoms","value":1522,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1366,"base":6},"right_expr":{"type":"numeric_atoms","value":1683,"base":6}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":7840,"base":6}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":8532,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1220,"base":6},"right_expr":{"type":"numeric_atoms","value":7242,"base":6}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4067,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5157,"base":6},"right_expr":{"type":"numeric_atoms","value":5121,"base":6}}}}},"used_operators":["nhYeJWJD5X","P3lXMJvFrc","Noe24qw2ks","Nsiff2A1zJ","DZ8iAZOCBD","nFAOW8KTqp","Loh9y4A90B","eewbuw0ToL","Eev2Q7dYIw","g7Hmc5v1ko","GODebY97qR","3tj9sqzovi","V0kx6qeWkN"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5456","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=1522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1683, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2732, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":2},{"info":"number node, value=7840","layer":4},{"info":"compute unary expreesion, input=7840, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=122931200","layer":3},{"info":"compute unary expreesion, input=122931200, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=368793600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=368793600, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=8532","layer":4},{"info":"compute unary expreesion, input=8532, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-32392","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=7242","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=7242, 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=-8583","layer":3},{"info":"compute binary expreesion, left_input=-32392, right_input=-8583, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-23799","layer":2},{"info":"number node, value=4067","layer":4},{"info":"compute unary expreesion, input=4067, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=5157","layer":4},{"info":"number node, value=5121","layer":4},{"info":"compute binary expreesion, left_input=5157, right_input=5121, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23799, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛41132⊴↹⩛11014)⨐(↹⩛10154⊉≛↸↹⩛11443)⫲≸⪮((↹⩛100144⇚⪠)∷))∇⊂⋱((↹⩛103300⊜)⨰↹⩛5352⩌⋺↹⩛53310⊉≛↸(≻⋜↹⩛30455)⪟⇏(↹⩛35513≳⇉↹⩛35413))=NaN","reverse_text":"NaN=((↹⩛41132⊴↹⩛11014)⨐(↹⩛10154⊉≛↸↹⩛11443)⫲≸⪮((↹⩛100144⇚⪠)∷))∇⊂⋱((↹⩛103300⊜)⨰↹⩛5352⩌⋺↹⩛53310⊉≛↸(≻⋜↹⩛30455)⪟⇏(↹⩛35513≳⇉↹⩛35413))","cot":[{"info":"↹⩛41132⊴↹⩛11014=NaN","layer":3},{"info":"↹⩛10154⊉≛↸↹⩛11443=↹⩛20352","layer":3},{"info":"NaN⨐↹⩛20352=NaN","layer":2},{"info":"↹⩛100144⇚⪠=↹⩛20110501532","layer":3},{"info":"↹⩛20110501532∷=↹⩛100332305440","layer":2},{"info":"NaN⫲≸⪮↹⩛100332305440=NaN","layer":1},{"info":"↹⩛103300⊜=↹⩛-405544","layer":3},{"info":"↹⩛5352⩌⋺↹⩛53310=↹⩛-103423","layer":3},{"info":"↹⩛-405544⨰↹⩛-103423=↹⩛-302103","layer":2},{"info":"≻⋜↹⩛30455=NaN","layer":3},{"info":"↹⩛35513≳⇉↹⩛35413=NaN","layer":3},{"info":"NaN⪟⇏NaN=NaN","layer":2},{"info":"↹⩛-302103⊉≛↸NaN=NaN","layer":1},{"info":"NaN∇⊂⋱NaN=NaN","layer":0}]} +{"id":624,"expression_no_base_symbol":"(((⪡⇡≛$4357$)⊧↖)⇴(⇤←$4841$∙∹∝$3170$))≀⫉(($8972$⇣⩺⋵$2540$)∋($2932$≄⊠$2099$)↱$2120$⨂≜$1024$⪉⨛(⇐$2899$))","expression":"(((⪡⇡≛↹⩛32101)⊧↖)⇴(⇤←↹⩛34225∙∹∝↹⩛22402))≀⫉((↹⩛105312⇣⩺⋵↹⩛15432)∋(↹⩛21324≄⊠↹⩛13415)↱↹⩛13452⨂≜↹⩛4424⪉⨛(⇐↹⩛21231))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7128,"operation_count":13,"complexity_ratio":548.3076923076923,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4357,"base":6}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4841,"base":6},"right_expr":{"type":"numeric_atoms","value":3170,"base":6}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":8972,"base":6},"right_expr":{"type":"numeric_atoms","value":2540,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2932,"base":6},"right_expr":{"type":"numeric_atoms","value":2099,"base":6}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2120,"base":6},"right_expr":{"type":"numeric_atoms","value":1024,"base":6}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2899,"base":6}}}}},"used_operators":["oZj3VtZNQx","4JB6nKBMSY","EKiFHuOFxO","qL4PrbW1Dq","jfAgQ2OQeM","HmxsFra2vL","SR5kFfdi6N","ukq6epAj5P","F4yD0voBRQ","vXNesLlMH1","EWw2JM7wp4","k1SHOSEABc","nmZMaaE0Q9"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","NTOWxs364D","COABgblf1C","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4357","layer":4},{"info":"compute unary expreesion, input=4357, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4357","layer":3},{"info":"compute unary expreesion, input=-4357, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=113871680","layer":2},{"info":"number node, value=4841","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=4841, right_input=3170, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":2},{"info":"compute binary expreesion, left_input=113871680, right_input=1366, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=683232426","layer":1},{"info":"number node, value=8972","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=8972, right_input=2540, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2932","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=2099, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=38252","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=38252, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=79190952","layer":2},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1024, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2899","layer":4},{"info":"compute unary expreesion, input=2899, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4620","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4620, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=79190952, 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":1},{"info":"compute binary expreesion, left_input=683232426, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"(((⪡⇡≛↹⩛32101)⊧↖)⇴(⇤←↹⩛34225∙∹∝↹⩛22402))≀⫉((↹⩛105312⇣⩺⋵↹⩛15432)∋(↹⩛21324≄⊠↹⩛13415)↱↹⩛13452⨂≜↹⩛4424⪉⨛(⇐↹⩛21231))=↹⩛21022","reverse_text":"↹⩛21022=(((⪡⇡≛↹⩛32101)⊧↖)⇴(⇤←↹⩛34225∙∹∝↹⩛22402))≀⫉((↹⩛105312⇣⩺⋵↹⩛15432)∋(↹⩛21324≄⊠↹⩛13415)↱↹⩛13452⨂≜↹⩛4424⪉⨛(⇐↹⩛21231))","cot":[{"info":"⪡⇡≛↹⩛32101=↹⩛-32101","layer":3},{"info":"↹⩛-32101⊧↖=↹⩛15144355412","layer":2},{"info":"↹⩛34225∙∹∝↹⩛22402=↹⩛0","layer":3},{"info":"⇤←↹⩛0=↹⩛10154","layer":2},{"info":"↹⩛15144355412⇴↹⩛10154=↹⩛151444013030","layer":1},{"info":"↹⩛105312⇣⩺⋵↹⩛15432=↹⩛-1112","layer":3},{"info":"↹⩛21324≄⊠↹⩛13415=↹⩛453032","layer":3},{"info":"↹⩛-1112∋↹⩛453032=↹⩛11505200440","layer":2},{"info":"↹⩛13452⨂≜↹⩛4424=NaN","layer":3},{"info":"⇐↹⩛21231=↹⩛33220","layer":3},{"info":"NaN⪉⨛↹⩛33220=NaN","layer":2},{"info":"↹⩛11505200440↱NaN=NaN","layer":1},{"info":"↹⩛151444013030≀⫉NaN=↹⩛21022","layer":0}]} +{"id":625,"expression_no_base_symbol":"⇠(⊢≑≆(⫟($1600$⊹≧⊝)))","expression":"⇠(⊢≑≆(⫟(↹⩛11224⊹≧⊝)))","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":55,"operation_count":4,"complexity_ratio":13.75,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1600,"base":6}}}}},"used_operators":["18saOjeKKm","27wFxooxGf","z4E1FaHLuy","LxFB4K6j0n"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-311030","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-6400","layer":3},{"info":"compute unary expreesion, input=-6400, 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=6162","layer":2},{"info":"compute unary expreesion, input=6162, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=25100","layer":1},{"info":"compute unary expreesion, input=25100, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-24858","layer":0}],"base":6,"result_base":6,"text":"⇠(⊢≑≆(⫟(↹⩛11224⊹≧⊝)))=↹⩛-311030","reverse_text":"↹⩛-311030=⇠(⊢≑≆(⫟(↹⩛11224⊹≧⊝)))","cot":[{"info":"↹⩛11224⊹≧⊝=↹⩛-45344","layer":3},{"info":"⫟↹⩛-45344=↹⩛44310","layer":2},{"info":"⊢≑≆↹⩛44310=↹⩛312112","layer":1},{"info":"⇠↹⩛312112=↹⩛-311030","layer":0}]} +{"id":626,"expression_no_base_symbol":"⇐($3957$⪒⊣⊆$1138$↳∿⪆(≇⪴$5753$)⋻⩜⩜(⇋⊎⋝$3354$)⊲⩕⊾($3642$⨚⇆$1113$))","expression":"⇐(↹⩛30153⪒⊣⊆↹⩛5134↳∿⪆(≇⪴↹⩛42345)⋻⩜⩜(⇋⊎⋝↹⩛23310)⊲⩕⊾(↹⩛24510⨚⇆↹⩛5053))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31638,"operation_count":8,"complexity_ratio":3954.75,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3957,"base":6},"right_expr":{"type":"numeric_atoms","value":1138,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":5753,"base":6}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3354,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3642,"base":6},"right_expr":{"type":"numeric_atoms","value":1113,"base":6}}}}},"used_operators":["nmZMaaE0Q9","oDCm7WA9JY","Cw4SuJJGHO","eRqsBgTDFp","zoVPnxeHJ3","DmTXOeWf9t","CzM2PEoXns","lwHaAYXP2r"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=1138, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7914","layer":3},{"info":"number node, value=5753","layer":4},{"info":"compute unary expreesion, input=5753, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-15919","layer":3},{"info":"compute binary expreesion, left_input=7914, right_input=-15919, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3354","layer":4},{"info":"compute unary expreesion, input=3354, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3642","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=1113, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇐(↹⩛30153⪒⊣⊆↹⩛5134↳∿⪆(≇⪴↹⩛42345)⋻⩜⩜(⇋⊎⋝↹⩛23310)⊲⩕⊾(↹⩛24510⨚⇆↹⩛5053))=NaN","reverse_text":"NaN=⇐(↹⩛30153⪒⊣⊆↹⩛5134↳∿⪆(≇⪴↹⩛42345)⋻⩜⩜(⇋⊎⋝↹⩛23310)⊲⩕⊾(↹⩛24510⨚⇆↹⩛5053))","cot":[{"info":"↹⩛30153⪒⊣⊆↹⩛5134=↹⩛100350","layer":3},{"info":"≇⪴↹⩛42345=↹⩛-201411","layer":3},{"info":"↹⩛100350↳∿⪆↹⩛-201411=NaN","layer":2},{"info":"⇋⊎⋝↹⩛23310=NaN","layer":3},{"info":"↹⩛24510⨚⇆↹⩛5053=NaN","layer":3},{"info":"NaN⊲⩕⊾NaN=NaN","layer":2},{"info":"NaN⋻⩜⩜NaN=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]} +{"id":627,"expression_no_base_symbol":"⊥(($3837$⪘⫢$6027$∖$4061$↹⊜$9552$)⨪↰⇹($4555$⊔$3272$)⊢($3056$↙$4083$))","expression":"⊥((↹⩛25433⪘⫢↹⩛43523∖↹⩛30445↹⊜↹⩛112120)⨪↰⇹(↹⩛33031⊔↹⩛23052)⊢(↹⩛22052↙↹⩛30523))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4354,"operation_count":8,"complexity_ratio":544.25,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3837,"base":6},"right_expr":{"type":"numeric_atoms","value":6027,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4061,"base":6},"right_expr":{"type":"numeric_atoms","value":9552,"base":6}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4555,"base":6},"right_expr":{"type":"numeric_atoms","value":3272,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3056,"base":6},"right_expr":{"type":"numeric_atoms","value":4083,"base":6}}}}},"used_operators":["Q3PJZHRvZv","tmPS8pqC7x","tXD093vOjl","oacrs7FA3X","9bazX3JMtO","5twsqlHp2o","E4l6HwMY31","yyfyN0ffXY"],"dependent_operators":["fu6greOZ01","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3837","layer":4},{"info":"number node, value=6027","layer":4},{"info":"compute binary expreesion, left_input=3837, right_input=6027, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7550","layer":3},{"info":"number node, value=4061","layer":4},{"info":"number node, value=9552","layer":4},{"info":"compute binary expreesion, left_input=4061, right_input=9552, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-30182","layer":3},{"info":"compute binary expreesion, left_input=7550, right_input=-30182, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=4555","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=3272, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=23070","layer":3},{"info":"number node, value=3056","layer":4},{"info":"number node, value=4083","layer":4},{"info":"compute binary expreesion, left_input=3056, right_input=4083, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12249","layer":3},{"info":"compute binary expreesion, left_input=23070, right_input=-12249, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-46384","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-46384, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⊥((↹⩛25433⪘⫢↹⩛43523∖↹⩛30445↹⊜↹⩛112120)⨪↰⇹(↹⩛33031⊔↹⩛23052)⊢(↹⩛22052↙↹⩛30523))=↹⩛0","reverse_text":"↹⩛0=⊥((↹⩛25433⪘⫢↹⩛43523∖↹⩛30445↹⊜↹⩛112120)⨪↰⇹(↹⩛33031⊔↹⩛23052)⊢(↹⩛22052↙↹⩛30523))","cot":[{"info":"↹⩛25433⪘⫢↹⩛43523=↹⩛54542","layer":3},{"info":"↹⩛30445↹⊜↹⩛112120=↹⩛-351422","layer":3},{"info":"↹⩛54542∖↹⩛-351422=↹⩛0","layer":2},{"info":"↹⩛33031⊔↹⩛23052=↹⩛254450","layer":3},{"info":"↹⩛22052↙↹⩛30523=↹⩛-132413","layer":3},{"info":"↹⩛254450⊢↹⩛-132413=↹⩛-554424","layer":2},{"info":"↹⩛0⨪↰⇹↹⩛-554424=↹⩛0","layer":1},{"info":"⊥↹⩛0=↹⩛0","layer":0}]} +{"id":628,"expression_no_base_symbol":"((⪫⨮⊛($2780$⩧⪆$1585$))⨥⫆(($1738$⪕$1126$)⫘($1194$⪘⫢$5196$)))⨜⨶(($2222$⇮⋭$2353$)↬$1496$⨜⨶$1056$⋳⪒(($5171$⊬⫿⊭)⇡))","expression":"((⪫⨮⊛(↹⩛20512⩧⪆↹⩛11201))⨥⫆((↹⩛12014⪕↹⩛5114)⫘(↹⩛5310⪘⫢↹⩛40020)))⨜⨶((↹⩛14142⇮⋭↹⩛14521)↬↹⩛10532⨜⨶↹⩛4520⋳⪒((↹⩛35535⊬⫿⊭)⇡))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":47468,"operation_count":13,"complexity_ratio":3651.3846153846152,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2780,"base":6},"right_expr":{"type":"numeric_atoms","value":1585,"base":6}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1738,"base":6},"right_expr":{"type":"numeric_atoms","value":1126,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1194,"base":6},"right_expr":{"type":"numeric_atoms","value":5196,"base":6}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2222,"base":6},"right_expr":{"type":"numeric_atoms","value":2353,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1496,"base":6},"right_expr":{"type":"numeric_atoms","value":1056,"base":6}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":5171,"base":6}}}}},"used_operators":["HiPekx5b7W","yXekIHxTD4","w5FWba1tyO","Ikt5ks8PT7","48vC8HMD2b","umQnsF7QlU","oacrs7FA3X","12rbrZMWeM","B5M0gjZbta","vkpjKywKVM","UqFzSgLMvQ","v0DYgG9ikt"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eewbuw0ToL","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2780","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1585, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1585","layer":3},{"info":"compute unary expreesion, input=-1585, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=1738","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=1126, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3251","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=5196","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=5196, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2264","layer":3},{"info":"compute binary expreesion, left_input=3251, right_input=2264, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3827581","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3827581, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=2222","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=2353, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1496","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=1056, 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=-1856","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-1856, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5171","layer":4},{"info":"compute unary expreesion, input=5171, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-15513","layer":3},{"info":"compute unary expreesion, input=-15513, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2917, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":6,"result_base":6,"text":"((⪫⨮⊛(↹⩛20512⩧⪆↹⩛11201))⨥⫆((↹⩛12014⪕↹⩛5114)⫘(↹⩛5310⪘⫢↹⩛40020)))⨜⨶((↹⩛14142⇮⋭↹⩛14521)↬↹⩛10532⨜⨶↹⩛4520⋳⪒((↹⩛35535⊬⫿⊭)⇡))=NaN","reverse_text":"NaN=((⪫⨮⊛(↹⩛20512⩧⪆↹⩛11201))⨥⫆((↹⩛12014⪕↹⩛5114)⫘(↹⩛5310⪘⫢↹⩛40020)))⨜⨶((↹⩛14142⇮⋭↹⩛14521)↬↹⩛10532⨜⨶↹⩛4520⋳⪒((↹⩛35535⊬⫿⊭)⇡))","cot":[{"info":"↹⩛20512⩧⪆↹⩛11201=↹⩛-11201","layer":3},{"info":"⪫⨮⊛↹⩛-11201=NaN","layer":2},{"info":"↹⩛12014⪕↹⩛5114=↹⩛23015","layer":3},{"info":"↹⩛5310⪘⫢↹⩛40020=↹⩛14252","layer":3},{"info":"↹⩛23015⫘↹⩛14252=↹⩛214012141","layer":2},{"info":"NaN⨥⫆↹⩛214012141=NaN","layer":1},{"info":"↹⩛14142⇮⋭↹⩛14521=↹⩛-2105","layer":3},{"info":"↹⩛10532⨜⨶↹⩛4520=↹⩛-12332","layer":3},{"info":"↹⩛-2105↬↹⩛-12332=NaN","layer":2},{"info":"↹⩛35535⊬⫿⊭=↹⩛-155453","layer":3},{"info":"↹⩛-155453⇡=↹⩛-21301","layer":2},{"info":"NaN⋳⪒↹⩛-21301=NaN","layer":1},{"info":"NaN⨜⨶NaN=NaN","layer":0}]} +{"id":629,"expression_no_base_symbol":"⨞⊢(($4541$⪨≂$2947$)⨥⫆(≀↧⇸$1675$)⋻⩜⩜(($5275$/$2983$)∙∹∝(⨈⪑$5311$)))","expression":"⨞⊢((↹⩛33005⪨≂↹⩛21351)⨥⫆(≀↧⇸↹⩛11431)⋻⩜⩜((↹⩛40231/↹⩛21451)∙∹∝(⨈⪑↹⩛40331)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":122,"operation_count":8,"complexity_ratio":15.25,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4541,"base":6},"right_expr":{"type":"numeric_atoms","value":2947,"base":6}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1675,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5275,"base":6},"right_expr":{"type":"numeric_atoms","value":2983,"base":6}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":5311,"base":6}}}}},"used_operators":["xUOZtlo3hN","oDCm7WA9JY","yXekIHxTD4","sdazOOVcIp","ljTHtUsqzn","HmxsFra2vL","XhwjNDsVaA","mp94q5OcYM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"↹⩛-141410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4541","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=2947, 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=3290","layer":3},{"info":"number node, value=1675","layer":4},{"info":"compute unary expreesion, input=1675, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3350","layer":3},{"info":"compute binary expreesion, left_input=3290, right_input=3350, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6576","layer":2},{"info":"number node, value=5275","layer":4},{"info":"number node, value=2983","layer":4},{"info":"compute binary expreesion, left_input=5275, right_input=2983, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=5311","layer":4},{"info":"compute unary expreesion, input=5311, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=868, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6576, 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=13152","layer":1},{"info":"compute unary expreesion, input=13152, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-13326","layer":0}],"base":6,"result_base":6,"text":"⨞⊢((↹⩛33005⪨≂↹⩛21351)⨥⫆(≀↧⇸↹⩛11431)⋻⩜⩜((↹⩛40231/↹⩛21451)∙∹∝(⨈⪑↹⩛40331)))=↹⩛-141410","reverse_text":"↹⩛-141410=⨞⊢((↹⩛33005⪨≂↹⩛21351)⨥⫆(≀↧⇸↹⩛11431)���⩜⩜((↹⩛40231/↹⩛21451)∙∹∝(⨈⪑↹⩛40331)))","cot":[{"info":"↹⩛33005⪨≂↹⩛21351=↹⩛23122","layer":3},{"info":"≀↧⇸↹⩛11431=↹⩛23302","layer":3},{"info":"↹⩛23122⨥⫆↹⩛23302=↹⩛50240","layer":2},{"info":"↹⩛40231/↹⩛21451=↹⩛1","layer":3},{"info":"⨈⪑↹⩛40331=↹⩛4004","layer":3},{"info":"↹⩛1∙∹∝↹⩛4004=↹⩛0","layer":2},{"info":"↹⩛50240⋻⩜⩜↹⩛0=↹⩛140520","layer":1},{"info":"⨞⊢↹⩛140520=↹⩛-141410","layer":0}]} +{"id":630,"expression_no_base_symbol":"($1929$⇻⋧≁$3838$⊔($2972$⪇≇⋚$1186$))⨼⩣$1920$⩖⊿$2967$↹⊜($7019$∑⇟⊟$1044$)+(⨦⪝(($4957$⇴∐$2661$)⫍⨯↯))","expression":"(↹⩛12533⇻⋧≁↹⩛25434⊔(↹⩛21432⪇≇⋚↹⩛5254))⨼⩣↹⩛12520⩖⊿↹⩛21423↹⊜(↹⩛52255∑⇟⊟↹⩛4500)+(⨦⪝((↹⩛34541⇴∐↹⩛20153)⫍⨯↯))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2444,"operation_count":11,"complexity_ratio":222.1818181818182,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1929,"base":6},"right_expr":{"type":"numeric_atoms","value":3838,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2972,"base":6},"right_expr":{"type":"numeric_atoms","value":1186,"base":6}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1920,"base":6},"right_expr":{"type":"numeric_atoms","value":2967,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7019,"base":6},"right_expr":{"type":"numeric_atoms","value":1044,"base":6}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4957,"base":6},"right_expr":{"type":"numeric_atoms","value":2661,"base":6}}}}},"used_operators":["W4YGzv6Whe","JxwMv5le6e","E4l6HwMY31","jCPkEVoL5K","3sJ7IOPOlU","9bazX3JMtO","RZ5CV9rWsJ","U7g4x0WXJJ","SUjycxNXIR","ZcwmYACASQ","HnzytWxmAO"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":4},{"info":"number node, value=3838","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=3838, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2972","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=1186, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=78","layer":2},{"info":"number node, value=1920","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=2967, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=15974","layer":3},{"info":"number node, value=7019","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=7019, right_input=1044, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15974, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=78, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=4957","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=2661, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1884, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12533⇻⋧≁↹⩛25434⊔(↹⩛21432⪇≇⋚↹⩛5254))⨼⩣↹⩛12520⩖⊿↹⩛21423↹⊜(↹⩛52255∑⇟⊟↹⩛4500)+(⨦⪝((↹⩛34541⇴∐↹⩛20153)⫍⨯↯))=NaN","reverse_text":"NaN=(↹⩛12533⇻⋧≁↹⩛25434⊔(↹⩛21432⪇≇⋚↹⩛5254))⨼⩣↹⩛12520⩖⊿↹⩛21423↹⊜(↹⩛52255∑⇟⊟↹⩛4500)+(⨦⪝((↹⩛34541⇴∐↹⩛20153)⫍⨯↯))","cot":[{"info":"↹⩛12533⇻⋧≁↹⩛25434=↹⩛-2023","layer":3},{"info":"↹⩛21432⪇≇⋚↹⩛5254=↹⩛0","layer":3},{"info":"↹⩛-2023⊔↹⩛0=↹⩛210","layer":2},{"info":"↹⩛12520⩖⊿↹⩛21423=↹⩛201542","layer":3},{"info":"↹⩛52255∑⇟⊟↹⩛4500=NaN","layer":3},{"info":"↹⩛201542↹⊜NaN=NaN","layer":2},{"info":"↹⩛210⨼⩣NaN=NaN","layer":1},{"info":"↹⩛34541⇴∐↹⩛20153=NaN","layer":3},{"info":"NaN⫍⨯↯=↹⩛-342","layer":2},{"info":"⨦⪝↹⩛-342=↹⩛-12420","layer":1},{"info":"NaN+↹⩛-12420=NaN","layer":0}]} +{"id":631,"expression_no_base_symbol":"(($6815$⨭⪣$3405$)≦≮≮)⇤(↑($4035$⋣⋖$1786$))≝⊿(⫇($3175$∝$4726$))⩖⊿(⇨$6429$)⨽∌($2074$≎⊠⪸$1448$)","expression":"((↹⩛51315⨭⪣↹⩛23433)≦≮≮)⇤(↑(↹⩛30403⋣⋖↹⩛12134))≝⊿(⫇(↹⩛22411∝↹⩛33514))⩖⊿(⇨↹⩛45433)⨽∌(↹⩛13334≎⊠⪸↹⩛10412)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":475,"operation_count":12,"complexity_ratio":39.583333333333336,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6815,"base":6},"right_expr":{"type":"numeric_atoms","value":3405,"base":6}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4035,"base":6},"right_expr":{"type":"numeric_atoms","value":1786,"base":6}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3175,"base":6},"right_expr":{"type":"numeric_atoms","value":4726,"base":6}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":6429,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2074,"base":6},"right_expr":{"type":"numeric_atoms","value":1448,"base":6}}}}},"used_operators":["OKKcZfAt5B","YSKBFp38Pu","D4vGDi5EA2","kn8WO9XteQ","tR7O2zTn5j","J0M6qkBnIM","RZ5CV9rWsJ","YjI8oCXuph","cTDWOvIxvz","9samAPKr6k","G9tJMlZ94a","bJkvcejdHO"],"dependent_operators":["12rbrZMWeM","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"↹⩛-1525213","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6815","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=6815, right_input=3405, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5536","layer":3},{"info":"compute unary expreesion, input=5536, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-16608","layer":2},{"info":"number node, value=4035","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=1786, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4035","layer":3},{"info":"compute unary expreesion, input=4035, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=-16608, right_input=192, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=84928","layer":1},{"info":"number node, value=3175","layer":4},{"info":"number node, value=4726","layer":4},{"info":"compute binary expreesion, left_input=3175, right_input=4726, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3180","layer":3},{"info":"compute unary expreesion, input=3180, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-5146","layer":2},{"info":"number node, value=6429","layer":4},{"info":"compute unary expreesion, input=6429, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=2074","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=1448, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=536693","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=536693, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5146, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1914","layer":1},{"info":"compute binary expreesion, left_input=84928, right_input=1914, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-89289","layer":0}],"base":6,"result_base":6,"text":"((↹⩛51315⨭⪣↹⩛23433)≦≮≮)⇤(↑(↹⩛30403⋣⋖↹⩛12134))≝⊿(⫇(↹⩛22411∝↹⩛33514))⩖⊿(⇨↹⩛45433)⨽∌(↹⩛13334≎⊠⪸↹⩛10412)=↹⩛-1525213","reverse_text":"↹⩛-1525213=((↹⩛51315⨭⪣↹⩛23433)≦≮≮)⇤(↑(↹⩛30403⋣⋖↹⩛12134))≝⊿(⫇(↹⩛22411∝↹⩛33514))⩖⊿(⇨↹⩛45433)⨽∌(↹⩛13334≎⊠⪸↹⩛10412)","cot":[{"info":"↹⩛51315⨭⪣↹⩛23433=↹⩛41344","layer":3},{"info":"↹⩛41344≦≮≮=↹⩛-204520","layer":2},{"info":"↹⩛30403⋣⋖↹⩛12134=↹⩛30403","layer":3},{"info":"↑↹⩛30403=↹⩛520","layer":2},{"info":"↹⩛-204520⇤↹⩛520=↹⩛1453104","layer":1},{"info":"↹⩛22411∝↹⩛33514=↹⩛22420","layer":3},{"info":"⫇↹⩛22420=↹⩛-35454","layer":2},{"info":"⇨↹⩛45433=↹⩛0","layer":3},{"info":"↹⩛13334≎⊠⪸↹⩛10412=↹⩛15300405","layer":3},{"info":"↹⩛0⨽∌↹⩛15300405=↹⩛0","layer":2},{"info":"↹⩛-35454⩖⊿↹⩛0=↹⩛12510","layer":1},{"info":"↹⩛1453104≝⊿↹⩛12510=↹⩛-1525213","layer":0}]} +{"id":632,"expression_no_base_symbol":"((⊀$1329$⫁⪎$3223$)/(+⊝⨔$3773$)∘(⨙⪌$2160$))⪣⫩","expression":"((⊀↹⩛10053⫁⪎↹⩛22531)/(+⊝⨔↹⩛25245)∘(⨙⪌↹⩛14000))⪣⫩","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":993,"operation_count":7,"complexity_ratio":141.85714285714286,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1329,"base":6},"right_expr":{"type":"numeric_atoms","value":3223,"base":6}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3773,"base":6}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2160,"base":6}}}}},"used_operators":["iuk5sVOGFA","XhwjNDsVaA","oPMjh9089D","xRrnTEsQ6j","Z5m6OM72h2","DhbWaqg5eL","vEGLkm4Z2k"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"↹⩛4121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=3223, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1894","layer":3},{"info":"compute unary expreesion, input=-1894, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=29193","layer":2},{"info":"number node, value=3773","layer":4},{"info":"compute unary expreesion, input=3773, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=868, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3044","layer":2},{"info":"compute binary expreesion, left_input=29193, right_input=3044, op_id = XhwjNDsVaA binary_op_definition= 'None', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":6,"result_base":6,"text":"((⊀↹⩛10053⫁⪎↹⩛22531)/(+⊝⨔↹⩛25245)∘(⨙⪌↹⩛14000))⪣⫩=↹⩛4121","reverse_text":"↹⩛4121=((⊀↹⩛10053⫁⪎↹⩛22531)/(+⊝⨔↹⩛25245)∘(⨙⪌↹⩛14000))⪣⫩","cot":[{"info":"↹⩛10053⫁⪎↹⩛22531=↹⩛-12434","layer":3},{"info":"⊀↹⩛-12434=↹⩛343053","layer":2},{"info":"+⊝⨔↹⩛25245=↹⩛11014","layer":3},{"info":"⨙⪌↹⩛14000=↹⩛4004","layer":3},{"info":"↹⩛11014∘↹⩛4004=↹⩛22032","layer":2},{"info":"↹⩛343053/↹⩛22032=↹⩛13","layer":1},{"info":"↹⩛13⪣⫩=↹⩛4121","layer":0}]} +{"id":633,"expression_no_base_symbol":"⫛⫱⨽($6004$∴$2523$⋥≓≎(⇠$1302$))⇂≾⫗((∡$2427$)≧⫂∧($1186$∲⫓$1184$))","expression":"⫛⫱⨽(↹⩛43444∴↹⩛15403⋥≓≎(⇠↹⩛10010))⇂≾⫗((∡↹⩛15123)≧⫂∧(↹⩛5254∲⫓↹⩛5252))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1528,"operation_count":8,"complexity_ratio":191.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":6004,"base":6},"right_expr":{"type":"numeric_atoms","value":2523,"base":6}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1302,"base":6}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2427,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1186,"base":6},"right_expr":{"type":"numeric_atoms","value":1184,"base":6}}}}},"used_operators":["DlLNRPXxWL","aBQ6xLxuTc","Qy55tPpLXF","hrf7POJlIJ","18saOjeKKm","Ph9nP6C5qx","pRsWfj4Fpp","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6004","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=6004, right_input=2523, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13656","layer":3},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1060","layer":3},{"info":"compute binary expreesion, left_input=13656, right_input=-1060, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-15743","layer":2},{"info":"number node, value=2427","layer":4},{"info":"compute unary expreesion, input=2427, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2427","layer":3},{"info":"number node, value=1186","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1184, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2427, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-15743, right_input=-473, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾���b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⫛⫱⨽(↹⩛43444∴↹⩛15403⋥≓≎(⇠↹⩛10010))⇂≾⫗((∡↹⩛15123)≧⫂∧(↹⩛5254∲⫓↹⩛5252))=↹⩛0","reverse_text":"↹⩛0=⫛⫱⨽(↹⩛43444∴↹⩛15403⋥≓≎(⇠↹⩛10010))⇂≾⫗((∡↹⩛15123)≧⫂∧(↹⩛5254∲⫓↹⩛5252))","cot":[{"info":"↹⩛43444∴↹⩛15403=↹⩛143120","layer":3},{"info":"⇠↹⩛10010=↹⩛-4524","layer":3},{"info":"↹⩛143120⋥≓≎↹⩛-4524=↹⩛-200515","layer":2},{"info":"∡↹⩛15123=↹⩛-15123","layer":3},{"info":"↹⩛5254∲⫓↹⩛5252=↹⩛0","layer":3},{"info":"↹⩛-15123≧⫂∧↹⩛0=↹⩛-2105","layer":2},{"info":"↹⩛-200515⇂≾⫗↹⩛-2105=↹⩛-3034","layer":1},{"info":"⫛⫱⨽↹⩛-3034=↹⩛0","layer":0}]} +{"id":634,"expression_no_base_symbol":"(⫶⊄≣((∤↝$2476$)⫉⨲⊜($6809$⊲⩕⊾$6731$)))⊟⇱","expression":"(⫶⊄≣((∤↝↹⩛15244)⫉⨲⊜(↹⩛51305⊲⩕⊾↹⩛51055)))⊟⇱","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":173062,"operation_count":5,"complexity_ratio":34612.4,"tree":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2476,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6809,"base":6},"right_expr":{"type":"numeric_atoms","value":6731,"base":6}}}}},"used_operators":["03sUfWo75k","wxb3vTeyAj","WhqkvtTD3t","3UMq87Qwqg","DmTXOeWf9t"],"dependent_operators":["IWmyXbctLI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","eewbuw0ToL","zVYPLywUTj","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2476","layer":4},{"info":"compute unary expreesion, input=2476, 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=2476","layer":3},{"info":"number node, value=6809","layer":4},{"info":"number node, value=6731","layer":4},{"info":"compute binary expreesion, left_input=6809, right_input=6731, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-172884","layer":3},{"info":"compute binary expreesion, left_input=2476, right_input=-172884, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-172994","layer":2},{"info":"compute unary expreesion, input=-172994, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⫶⊄≣((∤↝↹⩛15244)⫉⨲⊜(↹⩛51305⊲⩕⊾↹⩛51055)))⊟⇱=NaN","reverse_text":"NaN=(⫶⊄≣((∤↝↹⩛15244)⫉⨲⊜(↹⩛51305⊲⩕⊾↹⩛51055)))⊟⇱","cot":[{"info":"∤↝↹⩛15244=↹⩛15244","layer":3},{"info":"↹⩛51305⊲⩕⊾↹⩛51055=↹⩛-3412220","layer":3},{"info":"↹⩛15244⫉⨲⊜↹⩛-3412220=↹⩛-3412522","layer":2},{"info":"⫶⊄≣↹⩛-3412522=NaN","layer":1},{"info":"NaN⊟⇱=NaN","layer":0}]} +{"id":635,"expression_no_base_symbol":"(($3426$⪁$5150$)⪕$2761$∣$1532$)≴⪞⇿(($6257$≋⫹)⨐⩸⫘(⇙⪊$1672$))⊱⇼⊻((($3684$⪘⫢$1455$)↠)⫌⩉⩟($6416$*$2348$)⫒⫫($1789$⋻⩜⩜$3893$))","expression":"((↹⩛23510⪁↹⩛35502)⪕↹⩛20441∣↹⩛11032)≴⪞⇿((↹⩛44545≋⫹)⨐⩸⫘(⇙⪊↹⩛11424))⊱⇼⊻(((↹⩛25020⪘⫢↹⩛10423)↠)⫌⩉⩟(↹⩛45412*↹⩛14512)⫒⫫(↹⩛12141⋻⩜⩜↹⩛30005))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":382753847,"operation_count":14,"complexity_ratio":27339560.5,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3426,"base":6},"right_expr":{"type":"numeric_atoms","value":5150,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2761,"base":6},"right_expr":{"type":"numeric_atoms","value":1532,"base":6}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6257,"base":6}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1672,"base":6}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3684,"base":6},"right_expr":{"type":"numeric_atoms","value":1455,"base":6}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6416,"base":6},"right_expr":{"type":"numeric_atoms","value":2348,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1789,"base":6},"right_expr":{"type":"numeric_atoms","value":3893,"base":6}}}}},"used_operators":["FyVja0WsTP","lvlrscuwVU","umQnsF7QlU","I7sXao9hZE","PPChnnnBFF","fu6greOZ01","N41Kp7NANJ","pB6Fcnrjim","XIIwhv8d0m","LBdsKIvxzf","oacrs7FA3X","6Ko8hGgeMq","9HNa5Wba9A","oDCm7WA9JY"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3426","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=5150, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2761","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=2761, right_input=1532, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2761","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2761, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":2},{"info":"number node, value=6257","layer":4},{"info":"compute unary expreesion, input=6257, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12514","layer":3},{"info":"number node, value=1672","layer":4},{"info":"compute unary expreesion, input=1672, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12514, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-12514","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12514, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=3684","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=1455, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7244","layer":3},{"info":"compute unary expreesion, input=7244, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"number node, value=6416","layer":4},{"info":"number node, value=2348","layer":4},{"info":"compute binary expreesion, left_input=6416, right_input=2348, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15064768","layer":3},{"info":"number node, value=1789","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=3893, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3578","layer":3},{"info":"compute binary expreesion, left_input=15064768, right_input=3578, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛23510⪁↹⩛35502)⪕↹⩛20441∣↹⩛11032)≴⪞⇿((↹⩛44545≋⫹)⨐⩸⫘(⇙⪊↹⩛11424))⊱⇼⊻(((↹⩛25020⪘⫢↹⩛10423)↠)⫌⩉⩟(↹⩛45412*↹⩛14512)⫒⫫(↹⩛12141⋻⩜⩜↹⩛30005))=NaN","reverse_text":"NaN=((↹⩛23510⪁↹⩛35502)⪕↹⩛20441∣↹⩛11032)≴⪞⇿((↹⩛44545≋⫹)⨐⩸⫘(⇙⪊↹⩛11424))⊱⇼⊻(((↹⩛25020⪘⫢↹⩛10423)↠)⫌⩉⩟(↹⩛45412*↹⩛14512)⫒⫫(↹⩛12141⋻⩜⩜↹⩛30005))","cot":[{"info":"↹⩛23510⪁↹⩛35502=NaN","layer":3},{"info":"↹⩛20441∣↹⩛11032=↹⩛20441","layer":3},{"info":"NaN⪕↹⩛20441=NaN","layer":2},{"info":"↹⩛44545≋⫹=↹⩛-133534","layer":3},{"info":"⇙⪊↹⩛11424=↹⩛0","layer":3},{"info":"↹⩛-133534⨐⩸⫘↹⩛0=↹⩛-133534","layer":2},{"info":"NaN≴⪞⇿↹⩛-133534=NaN","layer":1},{"info":"↹⩛25020⪘⫢↹⩛10423=↹⩛53312","layer":3},{"info":"↹⩛53312↠=↹⩛-2023","layer":2},{"info":"↹⩛45412*↹⩛14512=↹⩛1254520144","layer":3},{"info":"↹⩛12141⋻⩜⩜↹⩛30005=↹⩛24322","layer":3},{"info":"↹⩛1254520144⫒⫫↹⩛24322=NaN","layer":2},{"info":"↹⩛-2023⫌⩉⩟NaN=↹⩛-122","layer":1},{"info":"NaN⊱⇼⊻↹⩛-122=NaN","layer":0}]} +{"id":636,"expression_no_base_symbol":"(($2426$⩍⋽⫝̸$2011$)≎⪠(⋗⩴⪓$1533$)⨻⩈⩔(($7600$⪛$1033$)⨕⋳))⪟⇏(∥⊫($3015$≎⊠⪸$1077$)⨜⨶($1150$≭$2992$))","expression":"((↹⩛15122⩍⋽⫝̸↹⩛13151)≎⪠(⋗⩴⪓↹⩛11033)⨻⩈⩔((↹⩛55104⪛↹⩛4441)⨕⋳))⪟⇏(∥⊫(↹⩛21543≎⊠⪸↹⩛4553)⨜⨶(↹⩛5154≭↹⩛21504))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21196,"operation_count":11,"complexity_ratio":1926.909090909091,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2426,"base":6},"right_expr":{"type":"numeric_atoms","value":2011,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1533,"base":6}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7600,"base":6},"right_expr":{"type":"numeric_atoms","value":1033,"base":6}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3015,"base":6},"right_expr":{"type":"numeric_atoms","value":1077,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1150,"base":6},"right_expr":{"type":"numeric_atoms","value":2992,"base":6}}}}},"used_operators":["GODebY97qR","nEsXyWgiOK","aNhz54LH3e","BiWNJpBvwn","nOKPl9n5zu","4X4GscPmMf","uFcxV4UQCh","P8v4zCKN1o","HiPekx5b7W","bJkvcejdHO","rxpJgHHUmx"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2426","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=2011, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1065","layer":3},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-620","layer":3},{"info":"compute binary expreesion, left_input=1065, right_input=-620, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=7600","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=7600, right_input=1033, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=369","layer":3},{"info":"compute unary expreesion, input=369, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-131114","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-131114, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=148063","layer":1},{"info":"number node, value=3015","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=1077, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=780412","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=2992, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=780412, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=148063, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15122⩍⋽⫝̸↹⩛13151)≎⪠(⋗⩴⪓↹⩛11033)⨻⩈⩔((↹⩛55104⪛↹⩛4441)⨕⋳))⪟⇏(∥⊫(↹⩛21543≎⊠⪸↹⩛4553)⨜⨶(↹⩛5154≭↹⩛21504))=↹⩛-1","reverse_text":"↹⩛-1=((↹⩛15122⩍⋽⫝̸↹⩛13151)≎⪠(⋗⩴⪓↹⩛11033)⨻⩈⩔((↹⩛55104⪛↹⩛4441)⨕⋳))⪟⇏(∥⊫(↹⩛21543≎⊠⪸↹⩛4553)⨜⨶(↹⩛5154≭↹⩛21504))","cot":[{"info":"↹⩛15122⩍⋽⫝̸↹⩛13151=↹⩛4533","layer":3},{"info":"⋗⩴⪓↹⩛11033=↹⩛-2512","layer":3},{"info":"↹⩛4533≎⪠↹⩛-2512=↹⩛230314","layer":2},{"info":"↹⩛55104⪛↹⩛4441=↹⩛1413","layer":3},{"info":"↹⩛1413⨕⋳=↹⩛-2451002","layer":2},{"info":"↹⩛230314⨻⩈⩔↹⩛-2451002=↹⩛3101251","layer":1},{"info":"↹⩛21543≎⊠⪸↹⩛4553=↹⩛24421004","layer":3},{"info":"↹⩛5154≭↹⩛21504=NaN","layer":3},{"info":"↹⩛24421004⨜⨶NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"↹⩛3101251⪟⇏NaN=↹⩛-1","layer":0}]} +{"id":637,"expression_no_base_symbol":"((⩎⋉$6583$)≌($1312$∋$1579$)⫦⪉($3188$/$2780$)⊱⇼⊻($2790$⪉⨛$6951$))⊢(⊊≼∋($4443$⪢$2757$))⨿(($6716$⊅)∙∹∝$2205$⫲≸⪮$4155$)","expression":"((⩎⋉↹⩛50251)≌(↹⩛10024∋↹⩛11151)⫦⪉(↹⩛22432/↹⩛20512)⊱⇼⊻(↹⩛20530⪉⨛↹⩛52103))⊢(⊊≼∋(↹⩛32323⪢↹⩛20433))⨿((↹⩛51032⊅)∙∹∝↹⩛14113⫲≸⪮↹⩛31123)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8209,"operation_count":14,"complexity_ratio":586.3571428571429,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6583,"base":6}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1312,"base":6},"right_expr":{"type":"numeric_atoms","value":1579,"base":6}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3188,"base":6},"right_expr":{"type":"numeric_atoms","value":2780,"base":6}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2790,"base":6},"right_expr":{"type":"numeric_atoms","value":6951,"base":6}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4443,"base":6},"right_expr":{"type":"numeric_atoms","value":2757,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":6716,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2205,"base":6},"right_expr":{"type":"numeric_atoms","value":4155,"base":6}}}}},"used_operators":["5twsqlHp2o","wscyQdcy20","lyWz822IDG","FlXk3pOYe8","ukq6epAj5P","FyVja0WsTP","XhwjNDsVaA","EWw2JM7wp4","abYXlopdE0","FWz7pXsQhA","dWAJyo7jo9","HmxsFra2vL","7p6YLioM7f","P3lXMJvFrc"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","jCPkEVoL5K","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6583","layer":4},{"info":"compute unary expreesion, input=6583, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1579, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3286240","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=3286240, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=3188","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=2780, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=6951","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=6951, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1634","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=1634, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=200, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"number node, value=4443","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=2757, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=6716","layer":4},{"info":"compute unary expreesion, input=6716, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=4155, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2205","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=2205, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⩎⋉↹⩛50251)≌(↹⩛10024∋↹⩛11151)⫦⪉(↹⩛22432/↹⩛20512)⊱⇼⊻(↹⩛20530⪉⨛↹⩛52103))⊢(⊊≼∋(↹⩛32323⪢↹⩛20433))⨿((↹⩛51032⊅)∙∹∝↹⩛14113⫲≸⪮↹⩛31123)=NaN","reverse_text":"NaN=((⩎⋉↹⩛50251)≌(↹⩛10024∋↹⩛11151)⫦⪉(↹⩛22432/↹⩛20512)⊱⇼⊻(��⩛20530⪉⨛↹⩛52103))⊢(⊊≼∋(↹⩛32323⪢↹⩛20433))⨿((↹⩛51032⊅)∙∹∝↹⩛14113⫲≸⪮↹⩛31123)","cot":[{"info":"⩎⋉↹⩛50251=↹⩛11350","layer":3},{"info":"↹⩛10024∋↹⩛11151=↹⩛154234024","layer":3},{"info":"↹⩛11350≌↹⩛154234024=NaN","layer":2},{"info":"↹⩛22432/↹⩛20512=↹⩛1","layer":3},{"info":"↹⩛20530⪉⨛↹⩛52103=↹⩛11322","layer":3},{"info":"↹⩛1⊱⇼⊻↹⩛11322=↹⩛532","layer":2},{"info":"NaN⫦⪉↹⩛532=NaN","layer":1},{"info":"↹⩛32323⪢↹⩛20433=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"↹⩛51032⊅=↹⩛-450","layer":3},{"info":"↹⩛14113⫲≸⪮↹⩛31123=↹⩛14113","layer":3},{"info":"↹⩛-450∙∹∝↹⩛14113=↹⩛0","layer":2},{"info":"NaN⨿↹⩛0=↹⩛151","layer":1},{"info":"NaN⊢↹⩛151=NaN","layer":0}]} +{"id":638,"expression_no_base_symbol":"⨝⨆(∡((⪁⇼$1287$)⋻⩜⩜(⪁⇼$4916$)))","expression":"⨝⨆(∡((⪁⇼↹⩛5543)⋻⩜⩜(⪁⇼↹⩛34432)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":135,"operation_count":5,"complexity_ratio":27.0,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1287,"base":6}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":4916,"base":6}}}}},"used_operators":["bQ67fsrMVf","pRsWfj4Fpp","oDCm7WA9JY","ZNVVrZ94lY"],"dependent_operators":["tifHPKVTfV","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"↹⩛-2021","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=4916","layer":4},{"info":"compute unary expreesion, input=4916, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=422, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=236","layer":2},{"info":"compute unary expreesion, input=236, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-236","layer":1},{"info":"compute unary expreesion, input=-236, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-445","layer":0}],"base":6,"result_base":6,"text":"⨝⨆(∡((⪁⇼↹⩛5543)⋻⩜⩜(⪁⇼↹⩛34432)))=↹⩛-2021","reverse_text":"↹⩛-2021=⨝⨆(∡((⪁⇼↹⩛5543)⋻⩜⩜(⪁⇼↹⩛34432)))","cot":[{"info":"⪁⇼↹⩛5543=↹⩛1542","layer":3},{"info":"⪁⇼↹⩛34432=↹⩛1542","layer":3},{"info":"↹⩛1542⋻⩜⩜↹⩛1542=↹⩛1032","layer":2},{"info":"∡↹⩛1032=↹⩛-1032","layer":1},{"info":"⨝⨆↹⩛-1032=↹⩛-2021","layer":0}]} +{"id":639,"expression_no_base_symbol":"(($1127$⫥∨⫟$2052$)⇷$5256$≄⊠$7680$)∇⊂⋱((⩏⊷≩$1878$)⪘⨀)⊭↱((∥⊫$4446$)⊹≧⊝)⪭≯($2106$⪨≂$1280$)∑⇟⊟($2218$≬⋮$3793$)","expression":"((↹⩛5115⫥∨⫟↹⩛13300)⇷↹⩛40200≄⊠↹⩛55320)∇⊂⋱((⩏⊷≩↹⩛12410)⪘⨀)⊭↱((∥⊫↹⩛32330)⊹≧⊝)⪭≯(↹⩛13430⪨≂↹⩛5532)∑⇟⊟(↹⩛14134≬⋮↹⩛25321)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":760396,"operation_count":13,"complexity_ratio":58492.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1127,"base":6},"right_expr":{"type":"numeric_atoms","value":2052,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5256,"base":6},"right_expr":{"type":"numeric_atoms","value":7680,"base":6}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1878,"base":6}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4446,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2106,"base":6},"right_expr":{"type":"numeric_atoms","value":1280,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2218,"base":6},"right_expr":{"type":"numeric_atoms","value":3793,"base":6}}}}},"used_operators":["COABgblf1C","nhYeJWJD5X","mp7IySMOzn","KYD54nUTWz","vXNesLlMH1","aA7tF3KVD3","uOZ1tnYMDE","XAx5wpdLa6","LxFB4K6j0n","P8v4zCKN1o","U7g4x0WXJJ","sdazOOVcIp","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","23Mk6UjR3U","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=2052, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5256","layer":4},{"info":"number node, value=7680","layer":4},{"info":"compute binary expreesion, left_input=5256, right_input=7680, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=127548","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=127548, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=255096","layer":2},{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=3455","layer":3},{"info":"compute unary expreesion, input=3455, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-7491","layer":2},{"info":"compute binary expreesion, left_input=255096, right_input=-7491, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=509646","layer":1},{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5314","layer":3},{"info":"compute unary expreesion, input=5314, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-21256","layer":2},{"info":"number node, value=2106","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=1280, 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=1754","layer":3},{"info":"number node, value=2218","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=3793, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1754, right_input=868, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21256, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=509646, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5115⫥∨⫟↹⩛13300)⇷↹⩛40200≄⊠↹⩛55320)∇⊂⋱((⩏⊷≩↹⩛12410)⪘⨀)⊭↱((∥⊫↹⩛32330)⊹≧⊝)⪭≯(↹⩛13430⪨≂↹⩛5532)∑⇟⊟(↹⩛14134≬⋮↹⩛25321)=NaN","reverse_text":"NaN=((↹⩛5115⫥∨⫟↹⩛13300)⇷↹⩛40200≄⊠↹⩛55320)∇⊂⋱((⩏⊷≩↹⩛12410)⪘⨀)⊭↱((∥⊫↹⩛32330)⊹≧⊝)⪭≯(↹⩛13430⪨≂↹⩛5532)∑⇟⊟(↹⩛14134≬⋮↹⩛25321)","cot":[{"info":"↹⩛5115⫥∨⫟↹⩛13300=NaN","layer":3},{"info":"↹⩛40200≄⊠↹⩛55320=↹⩛2422300","layer":3},{"info":"NaN⇷↹⩛2422300=↹⩛5245000","layer":2},{"info":"⩏⊷≩↹⩛12410=↹⩛23555","layer":3},{"info":"↹⩛23555⪘⨀=↹⩛-54403","layer":2},{"info":"↹⩛5245000∇⊂⋱↹⩛-54403=↹⩛14531250","layer":1},{"info":"∥⊫↹⩛32330=↹⩛40334","layer":3},{"info":"↹⩛40334⊹≧⊝=↹⩛-242224","layer":2},{"info":"↹⩛13430⪨≂↹⩛5532=↹⩛12042","layer":3},{"info":"↹⩛14134≬⋮↹⩛25321=↹⩛4004","layer":3},{"info":"↹⩛12042∑���⊟↹⩛4004=NaN","layer":2},{"info":"↹⩛-242224⪭≯NaN=NaN","layer":1},{"info":"↹⩛14531250⊭↱NaN=NaN","layer":0}]} +{"id":640,"expression_no_base_symbol":"↘(($2602$⪕$1136$)∣($1238$⇴$7240$)⋾⨃∁(⨩∲⋌($1879$≎⊠⪸$1119$)))","expression":"↘((↹⩛20014⪕↹⩛5132)∣(↹⩛5422⇴↹⩛53304)⋾⨃∁(⨩∲⋌(↹⩛12411≎⊠⪸↹⩛5103)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":487043,"operation_count":7,"complexity_ratio":69577.57142857143,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2602,"base":6},"right_expr":{"type":"numeric_atoms","value":1136,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1238,"base":6},"right_expr":{"type":"numeric_atoms","value":7240,"base":6}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1879,"base":6},"right_expr":{"type":"numeric_atoms","value":1119,"base":6}}}}},"used_operators":["LdNpr8hQHL","212REbPD9h","PPChnnnBFF","umQnsF7QlU","4JB6nKBMSY","aSik1wnThz","bJkvcejdHO"],"dependent_operators":["uFcxV4UQCh","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2602","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=2602, right_input=1136, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4969","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=7240","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=7240, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21522","layer":3},{"info":"compute binary expreesion, left_input=4969, right_input=21522, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4969","layer":2},{"info":"number node, value=1879","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1879, right_input=1119, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=486188","layer":3},{"info":"compute unary expreesion, input=486188, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-486711","layer":2},{"info":"compute binary expreesion, left_input=4969, right_input=-486711, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↘((↹⩛20014⪕↹⩛5132)∣(↹⩛5422⇴↹⩛53304)⋾⨃∁(⨩∲⋌(↹⩛12411≎⊠⪸↹⩛5103)))=NaN","reverse_text":"NaN=↘((↹⩛20014⪕↹⩛5132)∣(↹⩛5422⇴↹⩛53304)⋾⨃∁(⨩∲⋌(↹⩛12411≎⊠⪸↹⩛5103)))","cot":[{"info":"↹⩛20014⪕↹⩛5132=↹⩛35001","layer":3},{"info":"↹⩛5422⇴↹⩛53304=↹⩛243350","layer":3},{"info":"↹⩛35001∣↹⩛243350=↹⩛35001","layer":2},{"info":"↹⩛12411≎⊠⪸↹⩛5103=↹⩛14230512","layer":3},{"info":"⨩∲⋌↹⩛14230512=↹⩛-14233143","layer":2},{"info":"↹⩛35001⋾⨃∁↹⩛-14233143=NaN","layer":1},{"info":"↘NaN=NaN","layer":0}]} +{"id":641,"expression_no_base_symbol":"((⩩($3627$⨑≵⋬$3671$))⊾⪯⋞$1117$≨$6391$⫢⨠($6120$⪇≇⋚$2704$))∛((⪸(-$1276$))⨶)","expression":"((⩩(↹⩛24443⨑≵⋬↹⩛24555))⊾⪯⋞↹⩛5101≨↹⩛45331⫢⨠(↹⩛44200⪇≇⋚↹⩛20304))∛((⪸(-↹⩛5524))⨶)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7473,"operation_count":10,"complexity_ratio":747.3,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3627,"base":6},"right_expr":{"type":"numeric_atoms","value":3671,"base":6}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1117,"base":6},"right_expr":{"type":"numeric_atoms","value":6391,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6120,"base":6},"right_expr":{"type":"numeric_atoms","value":2704,"base":6}}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1276,"base":6}}}}},"used_operators":["w2537kitQq","HK0tfVPux8","kMhfGuqI2H","XnXgA4xnOs","xlXykHWxX1","0KMCeP1Jsh","3sJ7IOPOlU","rFxw8gIMmB","86A5ENbKR9","t8gj7n24qd"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","f6k1SAg4EE","Qy55tPpLXF","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3627","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=3671, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-6183","layer":3},{"info":"compute unary expreesion, input=-6183, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1117","layer":4},{"info":"number node, value=6391","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=6391, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8694","layer":3},{"info":"number node, value=6120","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=6120, right_input=2704, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8694, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=1276","layer":4},{"info":"compute unary expreesion, input=1276, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1276","layer":3},{"info":"compute unary expreesion, input=-1276, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=10862","layer":2},{"info":"compute unary expreesion, input=10862, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=19978","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19978, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⩩(↹⩛24443⨑≵⋬↹⩛24555))⊾⪯⋞↹⩛5101≨↹⩛45331⫢⨠(↹⩛44200⪇≇⋚↹⩛20304))∛((⪸(-↹⩛5524))⨶)=NaN","reverse_text":"NaN=((⩩(↹⩛24443⨑≵⋬↹⩛24555))⊾⪯⋞↹⩛5101≨↹⩛45331⫢⨠(↹⩛44200⪇≇⋚↹⩛20304))∛((⪸(-↹⩛5524))⨶)","cot":[{"info":"↹⩛24443⨑≵⋬↹⩛24555=↹⩛-44343","layer":3},{"info":"⩩↹⩛-44343=NaN","layer":2},{"info":"↹⩛5101≨↹⩛45331=↹⩛-104130","layer":3},{"info":"↹⩛44200⪇≇⋚↹⩛20304=↹⩛0","layer":3},{"info":"↹⩛-104130⫢⨠↹⩛0=NaN","layer":2},{"info":"NaN⊾⪯⋞NaN=NaN","layer":1},{"info":"-↹⩛5524=↹⩛-5524","layer":3},{"info":"⪸↹⩛-5524=↹⩛122142","layer":2},{"info":"↹⩛122142⨶=↹⩛232254","layer":1},{"info":"NaN∛↹⩛232254=NaN","layer":0}]} +{"id":642,"expression_no_base_symbol":"(↡(↽≂$1830$⪇≇⋚$1266$))∼(≤/($2488$⫒⫫$1393$)⪮%⊝(∷≠$4233$))","expression":"(↡(↽≂↹⩛12250⪇≇⋚↹⩛5510))∼(≤/(↹⩛15304⫒⫫↹⩛10241)⪮%⊝(∷≠↹⩛31333))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50,"operation_count":8,"complexity_ratio":6.25,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1830,"base":6},"right_expr":{"type":"numeric_atoms","value":1266,"base":6}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2488,"base":6},"right_expr":{"type":"numeric_atoms","value":1393,"base":6}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4233,"base":6}}}}},"used_operators":["DyGG3AbaNP","MXaNJeIAZ3","u6S6b8DprG","3sJ7IOPOlU","eLAdDNolq6","IWmyXbctLI","6Ko8hGgeMq","QiR2Oyf5Xj"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1266, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=2488","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=1393, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4233","layer":4},{"info":"compute unary expreesion, input=4233, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4233","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4233, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↡(↽≂↹⩛12250⪇≇⋚↹⩛5510))∼(≤/(↹⩛15304⫒⫫↹⩛10241)⪮%⊝(∷≠↹⩛31333))=NaN","reverse_text":"NaN=(↡(↽≂↹⩛12250⪇≇⋚↹⩛5510))∼(≤/(↹⩛15304⫒⫫↹⩛10241)⪮%⊝(∷≠↹⩛31333))","cot":[{"info":"↹⩛12250⪇≇⋚↹⩛5510=↹⩛0","layer":3},{"info":"↽≂↹⩛0=↹⩛0","layer":2},{"info":"↡↹⩛0=↹⩛0","layer":1},{"info":"↹⩛15304⫒⫫↹⩛10241=NaN","layer":3},{"info":"∷≠↹⩛31333=↹⩛31333","layer":3},{"info":"NaN⪮%⊝↹⩛31333=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"↹⩛0∼NaN=NaN","layer":0}]} +{"id":643,"expression_no_base_symbol":"(($5148$⨪↰⇹$1767$⨳⩥⨓$2908$⩚⊴⇥$6343$)⫢⨠($4302$⋥≓≎$1000$⋻⩜⩜(⋗⩴⪓$4752$)))⊝⪿⪼((⊢≑≆$3467$)⪒⊣⊆($2285$⫰⋱$1531$)⇮⋭(≅≯⇸(≦∁$5150$)))","expression":"((↹⩛35500⨪↰⇹↹⩛12103⨳⩥⨓↹⩛21244⩚⊴⇥↹⩛45211)⫢⨠(↹⩛31530⋥≓≎↹⩛4344⋻⩜⩜(⋗⩴⪓↹⩛34000)))⊝⪿⪼((⊢≑≆↹⩛24015)⪒⊣⊆(↹⩛14325⫰⋱↹⩛11031)⇮⋭(≅≯⇸(≦∁↹⩛35502)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63868,"operation_count":14,"complexity_ratio":4562.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5148,"base":6},"right_expr":{"type":"numeric_atoms","value":1767,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2908,"base":6},"right_expr":{"type":"numeric_atoms","value":6343,"base":6}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4302,"base":6},"right_expr":{"type":"numeric_atoms","value":1000,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4752,"base":6}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3467,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2285,"base":6},"right_expr":{"type":"numeric_atoms","value":1531,"base":6}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5150,"base":6}}}}},"used_operators":["3Oe9XWJUTD","xlXykHWxX1","nCS4ZIUYfx","tmPS8pqC7x","NTOWxs364D","oDCm7WA9JY","Qy55tPpLXF","nOKPl9n5zu","vkpjKywKVM","eRqsBgTDFp","27wFxooxGf","6o9Blt3TJ6","apS25hmuAe","9ICcGScMcE"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","EBcxylXtPf","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5148","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=5148, right_input=1767, 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=5148","layer":3},{"info":"number node, value=2908","layer":4},{"info":"number node, value=6343","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=6343, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9372","layer":3},{"info":"compute binary expreesion, left_input=5148, right_input=-9372, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-14520","layer":2},{"info":"number node, value=4302","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=1000, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2269","layer":3},{"info":"number node, value=4752","layer":4},{"info":"compute unary expreesion, input=4752, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3839","layer":3},{"info":"compute binary expreesion, left_input=-2269, right_input=-3839, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14520, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=3467","layer":4},{"info":"compute unary expreesion, input=3467, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=14320","layer":3},{"info":"number node, value=2285","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=1531, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2252","layer":3},{"info":"compute binary expreesion, left_input=14320, right_input=-2252, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=28640","layer":2},{"info":"number node, value=5150","layer":4},{"info":"compute unary expreesion, input=5150, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5150","layer":3},{"info":"compute unary expreesion, input=5150, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=28277","layer":2},{"info":"compute binary expreesion, left_input=28640, right_input=28277, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛35500⨪↰⇹↹⩛12103⨳⩥⨓↹⩛21244⩚⊴⇥↹⩛45211)⫢⨠(↹⩛31530⋥≓≎↹⩛4344⋻⩜⩜(⋗⩴⪓↹⩛34000)))⊝⪿⪼((⊢≑≆↹⩛24015)⪒⊣⊆(↹⩛14325⫰⋱↹⩛11031)⇮⋭(≅≯⇸(≦∁↹⩛35502)))=NaN","reverse_text":"NaN=((↹⩛35500⨪↰⇹↹⩛12103⨳⩥⨓↹⩛21244⩚⊴⇥↹⩛45211)⫢⨠(↹⩛31530⋥≓≎↹⩛4344⋻⩜⩜(⋗⩴⪓↹⩛34000)))⊝⪿⪼((⊢≑≆↹⩛24015)⪒⊣⊆(↹⩛14325⫰⋱↹⩛11031)⇮⋭(≅≯⇸(≦∁↹⩛35502)))","cot":[{"info":"↹⩛35500⨪↰⇹↹⩛12103=↹⩛35500","layer":3},{"info":"↹⩛21244⩚⊴⇥↹⩛45211=↹⩛-111220","layer":3},{"info":"↹⩛35500⨳⩥⨓↹⩛-111220=↹⩛-151120","layer":2},{"info":"↹⩛31530⋥≓≎↹⩛4344=↹⩛-14301","layer":3},{"info":"⋗⩴⪓↹⩛34000=↹⩛-25435","layer":3},{"info":"↹⩛-14301⋻⩜⩜↹⩛-25435=NaN","layer":2},{"info":"↹⩛-151120⫢⨠NaN=NaN","layer":1},{"info":"⊢≑≆↹⩛24015=↹⩛150144","layer":3},{"info":"↹⩛14325⫰⋱↹⩛11031=↹⩛-14232","layer":3},{"info":"↹⩛150144⪒⊣⊆↹⩛-14232=↹⩛340332","layer":2},{"info":"≦∁↹⩛35502=↹⩛35502","layer":3},{"info":"≅≯⇸↹⩛35502=↹⩛334525","layer":2},{"info":"↹⩛340332⇮⋭↹⩛334525=↹⩛-2105","layer":1},{"info":"NaN⊝⪿⪼↹⩛-2105=NaN","layer":0}]} +{"id":644,"expression_no_base_symbol":"($3673$↳≱$1637$⨑≵⋬$2526$⨐$1000$)∀⇚≩(⪛⨧(⨝⨆$2237$))⫸⇳(⩩(⪡⇡≛($1374$⊢$2572$)))","expression":"(↹⩛25001↳≱↹⩛11325⨑≵⋬↹⩛15410⨐↹⩛4344)∀⇚≩(⪛⨧(⨝⨆↹⩛14205))⫸⇳(⩩(⪡⇡≛(↹⩛10210⊢↹⩛15524)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":339265,"operation_count":10,"complexity_ratio":33926.5,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3673,"base":6},"right_expr":{"type":"numeric_atoms","value":1637,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2526,"base":6},"right_expr":{"type":"numeric_atoms","value":1000,"base":6}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2237,"base":6}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1374,"base":6},"right_expr":{"type":"numeric_atoms","value":2572,"base":6}}}}},"used_operators":["gx7XJ7hdpj","LRNGc0VcxI","XnXgA4xnOs","JwTKLfZU96","Noe24qw2ks","6NJAcO2OWT","bQ67fsrMVf","kMhfGuqI2H","qL4PrbW1Dq","5twsqlHp2o"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","X99M06cbEe","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","tifHPKVTfV","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3673","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=3673, right_input=1637, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2526","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=1000, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5052","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5052, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=47879","layer":2},{"info":"number node, value=2237","layer":4},{"info":"compute unary expreesion, input=2237, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2028","layer":3},{"info":"compute unary expreesion, input=2028, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5457","layer":2},{"info":"compute binary expreesion, left_input=47879, right_input=5457, 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=1374","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=2572, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2992","layer":3},{"info":"compute unary expreesion, input=-2992, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2992","layer":2},{"info":"compute unary expreesion, input=-2992, 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 = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25001↳≱↹⩛11325⨑≵⋬↹⩛15410⨐↹⩛4344)∀⇚≩(⪛⨧(⨝⨆↹⩛14205))⫸⇳(⩩(⪡⇡≛(↹⩛10210⊢↹⩛15524)))=NaN","reverse_text":"NaN=(↹⩛25001↳≱↹⩛11325⨑≵⋬↹⩛15410⨐↹⩛4344)∀⇚≩(⪛⨧(⨝⨆↹⩛14205))⫸⇳(⩩(⪡⇡≛(↹⩛10210⊢↹⩛15524)))","cot":[{"info":"↹⩛25001↳≱↹⩛11325=↹⩛0","layer":3},{"info":"↹⩛15410⨐↹⩛4344=↹⩛-35220","layer":3},{"info":"↹⩛0⨑≵⋬↹⩛-35220=↹⩛1005355","layer":2},{"info":"⨝⨆↹⩛14205=↹⩛13220","layer":3},{"info":"⪛⨧↹⩛13220=↹⩛41133","layer":2},{"info":"↹⩛1005355∀⇚≩↹⩛41133=NaN","layer":1},{"info":"↹⩛10210⊢↹⩛15524=↹⩛-21504","layer":3},{"info":"⪡⇡≛↹⩛-21504=↹⩛-21504","layer":2},{"info":"⩩↹⩛-21504=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]} +{"id":645,"expression_no_base_symbol":"(($3449$≠≀$5988$)∛($1720$⊧↖))≌($5906$⨸$4182$⨔⇊($5187$⫔⩽⩺$7055$))↓(⫵↿($4492$↯⫤)∥⊢⊲($1811$⊋≦⊧$1261$))","expression":"((↹⩛23545≠≀↹⩛43420)∛(↹⩛11544⊧↖))≌(↹⩛43202⨸↹⩛31210⨔⇊(↹⩛40003⫔⩽⩺↹⩛52355))↓(⫵↿(↹⩛32444↯⫤)∥⊢⊲(↹⩛12215⊋≦⊧↹⩛5501))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10303,"operation_count":12,"complexity_ratio":858.5833333333334,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3449,"base":6},"right_expr":{"type":"numeric_atoms","value":5988,"base":6}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1720,"base":6}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5906,"base":6},"right_expr":{"type":"numeric_atoms","value":4182,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5187,"base":6},"right_expr":{"type":"numeric_atoms","value":7055,"base":6}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":4492,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1811,"base":6},"right_expr":{"type":"numeric_atoms","value":1261,"base":6}}}}},"used_operators":["Af076pWI7l","lyWz822IDG","w2537kitQq","IwW236VD4Y","EKiFHuOFxO","JclMnS0uGI","KmoU8R5UQR","i9eR4S00cU","ivGwdmUAux","v1UQAVDJRr","VwlE7vj6HS","oRDoc9rAEX"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Tw270M8GLb","fu6greOZ01","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"↹⩛105512","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3449","layer":4},{"info":"number node, value=5988","layer":4},{"info":"compute binary expreesion, left_input=3449, right_input=5988, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6592","layer":3},{"info":"number node, value=1720","layer":4},{"info":"compute unary expreesion, input=1720, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=17757848","layer":3},{"info":"compute binary expreesion, left_input=-6592, right_input=17757848, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"number node, value=5906","layer":4},{"info":"number node, value=4182","layer":4},{"info":"compute binary expreesion, left_input=5906, right_input=4182, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=11812","layer":3},{"info":"number node, value=5187","layer":4},{"info":"number node, value=7055","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=7055, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11812, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=4492","layer":4},{"info":"compute unary expreesion, input=4492, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=1811","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1261, 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=-2282","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2282, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=9044","layer":0}],"base":6,"result_base":6,"text":"((↹⩛23545≠≀↹⩛43420)∛(↹⩛11544⊧↖))≌(↹⩛43202⨸↹⩛31210⨔⇊(↹⩛40003⫔⩽⩺↹⩛52355))↓(⫵↿(↹⩛32444↯⫤)∥⊢⊲(↹⩛12215⊋≦⊧↹⩛5501))=↹⩛105512","reverse_text":"↹⩛105512=((↹⩛23545≠≀↹⩛43420)∛(↹⩛11544⊧↖))≌(↹⩛43202⨸↹⩛31210⨔⇊(↹⩛40003⫔⩽⩺↹⩛52355))↓(⫵↿(↹⩛32444↯⫤)∥⊢⊲(↹⩛12215⊋≦⊧↹⩛5501))","cot":[{"info":"↹⩛23545≠≀↹⩛43420=↹⩛-50304","layer":3},{"info":"↹⩛11544⊧↖=↹⩛1432340132","layer":3},{"info":"↹⩛-50304∛↹⩛1432340132=↹⩛-3044","layer":2},{"info":"↹⩛43202⨸↹⩛31210=↹⩛130404","layer":3},{"info":"↹⩛40003⫔⩽⩺↹⩛52355=NaN","layer":3},{"info":"↹⩛130404⨔⇊NaN=NaN","layer":2},{"info":"↹⩛-3044≌NaN=NaN","layer":1},{"info":"↹⩛32444↯⫤=↹⩛0","layer":3},{"info":"↹⩛12215⊋≦⊧↹⩛5501=↹⩛-14322","layer":3},{"info":"↹⩛0∥⊢⊲↹⩛-14322=NaN","layer":2},{"info":"⫵↿NaN=↹⩛345","layer":1},{"info":"NaN↓↹⩛345=↹⩛105512","layer":0}]} +{"id":646,"expression_no_base_symbol":"($1655$⇍⊗$2587$)⩼⇪↪(⋗⩬⋾$6131$)⊉↱≁(($6469$≀⩗∶$4087$)⪄$1737$⇮⋭$2751$)⊉≛↸(($1470$↦)⨽$1030$⇴∐$7006$)⫥∨⫟((⫵↿$1204$)⨎$6429$⊬⨰$3068$)","expression":"(↹⩛11355⇍⊗↹⩛15551)⩼⇪↪(⋗⩬⋾↹⩛44215)⊉↱≁((↹⩛45541≀⩗∶↹⩛30531)⪄↹⩛12013⇮⋭↹⩛20423)⊉≛↸((↹⩛10450↦)⨽↹⩛4434⇴∐↹⩛52234)⫥∨⫟((⫵↿↹⩛5324)⨎↹⩛45433⊬⨰↹⩛22112)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":224229,"operation_count":15,"complexity_ratio":14948.6,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1655,"base":6},"right_expr":{"type":"numeric_atoms","value":2587,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6131,"base":6}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6469,"base":6},"right_expr":{"type":"numeric_atoms","value":4087,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1737,"base":6},"right_expr":{"type":"numeric_atoms","value":2751,"base":6}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1470,"base":6}},"right_expr":{"type":"binary","operator":"⇴���","left_expr":{"type":"numeric_atoms","value":1030,"base":6},"right_expr":{"type":"numeric_atoms","value":7006,"base":6}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1204,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6429,"base":6},"right_expr":{"type":"numeric_atoms","value":3068,"base":6}}}}},"used_operators":["DZ8iAZOCBD","w2P8NbNXyL","ocnLzx9CaJ","5uvYHDjeKN","DpFCA1CohY","SUmda5xLS4","8INZBEW696","vkpjKywKVM","KYD54nUTWz","8HhzD0ZcuI","fFznvYxMfW","HnzytWxmAO","rJVOvQCfKK","ivGwdmUAux","s3Fd5m9Dh2"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛125052500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=2587, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=6131","layer":4},{"info":"compute unary expreesion, input=6131, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18393","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-18393, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=127480","layer":2},{"info":"number node, value=6469","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=6469, right_input=4087, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1737","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=2751, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=5803","layer":2},{"info":"compute binary expreesion, left_input=127480, right_input=5803, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1239930","layer":1},{"info":"number node, value=1470","layer":4},{"info":"compute unary expreesion, input=1470, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=7006","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=7006, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=6429","layer":4},{"info":"number node, value=3068","layer":4},{"info":"compute binary expreesion, left_input=6429, right_input=3068, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17645","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=17645, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=17645","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17645, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1239930, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2479860","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11355⇍⊗↹⩛15551)⩼⇪↪(⋗⩬⋾↹⩛44215)⊉↱≁((↹⩛45541≀⩗∶↹⩛30531)⪄↹⩛12013⇮⋭↹⩛20423)⊉≛↸((↹⩛10450↦)⨽↹⩛4434⇴∐↹⩛52234)⫥∨⫟((⫵↿↹⩛5324)⨎↹⩛45433⊬⨰↹⩛22112)=↹⩛125052500","reverse_text":"↹⩛125052500=(↹⩛11355⇍⊗↹⩛15551)⩼⇪↪(⋗⩬⋾↹⩛44215)⊉↱≁((↹⩛45541≀⩗∶↹⩛30531)⪄↹⩛12013⇮⋭↹⩛20423)⊉≛↸((↹⩛10450↦)⨽↹⩛4434⇴∐↹⩛52234)⫥∨⫟((⫵↿↹⩛5324)⨎↹⩛45433⊬⨰↹⩛22112)","cot":[{"info":"↹⩛11355⇍⊗↹⩛15551=↹⩛-1044","layer":3},{"info":"⋗⩬⋾↹⩛44215=↹⩛-221053","layer":3},{"info":"↹⩛-1044⩼⇪↪↹⩛-221053=↹⩛2422104","layer":2},{"info":"↹⩛45541≀⩗∶↹⩛30531=↹⩛0","layer":3},{"info":"↹⩛12013⇮⋭↹⩛20423=↹⩛-2105","layer":3},{"info":"↹⩛0⪄↹⩛-2105=↹⩛42511","layer":2},{"info":"↹⩛2422104⊉↱≁↹⩛42511=↹⩛42324230","layer":1},{"info":"↹⩛10450↦=NaN","layer":3},{"info":"↹⩛4434⇴∐↹⩛52234=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⫵↿↹⩛5324=↹⩛345","layer":3},{"info":"↹⩛45433⊬⨰↹⩛22112=↹⩛213405","layer":3},{"info":"↹⩛345⨎↹⩛213405=↹⩛213405","layer":2},{"info":"NaN⫥∨⫟↹⩛213405=NaN","layer":1},{"info":"↹⩛42324230⊉≛↸NaN=↹⩛125052500","layer":0}]} +{"id":647,"expression_no_base_symbol":"(⪸($3125$≒∊$2105$⇮⋭$1037$⪟⇏$8513$))⫚↹⊑((⊬↢$1981$)∣$5955$↢$1886$)⨸((≑⋹$1814$)-$2821$⨐⩸⫘$7787$)","expression":"(⪸(↹⩛22245≒∊↹⩛13425⇮⋭↹⩛4445⪟⇏↹⩛103225))⫚↹⊑((⊬↢↹⩛13101)∣↹⩛43323↢↹⩛12422)⨸((≑⋹↹⩛12222)-↹⩛21021⨐⩸⫘↹⩛100015)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2608,"operation_count":12,"complexity_ratio":217.33333333333334,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3125,"base":6},"right_expr":{"type":"numeric_atoms","value":2105,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1037,"base":6},"right_expr":{"type":"numeric_atoms","value":8513,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1981,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5955,"base":6},"right_expr":{"type":"numeric_atoms","value":1886,"base":6}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1814,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2821,"base":6},"right_expr":{"type":"numeric_atoms","value":7787,"base":6}}}}},"used_operators":["dfKe02y8D2","86A5ENbKR9","vkpjKywKVM","5KTvxBwnZo","GODebY97qR","KmoU8R5UQR","PPChnnnBFF","WPoGxAaPR1","WR6HLWljOP","rysDP5nf3Z","6B9nyZLogK","fu6greOZ01"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","3ViojmjbAp"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3125","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=2105, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2641","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=8513","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=8513, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸��(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2641, right_input=-1, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=304","layer":2},{"info":"compute unary expreesion, input=304, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-4959","layer":1},{"info":"number node, value=1981","layer":4},{"info":"compute unary expreesion, input=1981, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=5955","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=5955, right_input=1886, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5471","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=5471, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=218","layer":2},{"info":"number node, value=1814","layer":4},{"info":"compute unary expreesion, input=1814, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=2821","layer":4},{"info":"number node, value=7787","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=7787, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=436","layer":1},{"info":"compute binary expreesion, left_input=-4959, right_input=436, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(⪸(↹⩛22245≒∊↹⩛13425⇮⋭↹⩛4445⪟⇏↹⩛103225))⫚↹⊑((⊬↢↹⩛13101)∣↹⩛43323↢↹⩛12422)⨸((≑⋹↹⩛12222)-↹⩛21021⨐⩸⫘↹⩛100015)=↹⩛-2023","reverse_text":"↹⩛-2023=(⪸(↹⩛22245≒∊↹⩛13425⇮⋭↹⩛4445⪟⇏↹⩛103225))⫚↹⊑((⊬↢↹⩛13101)∣↹⩛43323↢↹⩛12422)⨸((≑⋹↹⩛12222)-↹⩛21021⨐⩸⫘↹⩛100015)","cot":[{"info":"↹⩛22245≒∊↹⩛13425=↹⩛-20121","layer":3},{"info":"↹⩛4445⪟⇏↹⩛103225=↹⩛-1","layer":3},{"info":"↹⩛-20121⇮⋭↹⩛-1=↹⩛1224","layer":2},{"info":"⪸↹⩛1224=↹⩛-34543","layer":1},{"info":"⊬↢↹⩛13101=↹⩛1002","layer":3},{"info":"↹⩛43323↢↹⩛12422=↹⩛41155","layer":3},{"info":"↹⩛1002∣↹⩛41155=↹⩛1002","layer":2},{"info":"≑⋹↹⩛12222=↹⩛11350","layer":3},{"info":"↹⩛21021⨐⩸⫘↹⩛100015=NaN","layer":3},{"info":"↹⩛11350-NaN=NaN","layer":2},{"info":"↹⩛1002⨸NaN=↹⩛2004","layer":1},{"info":"↹⩛-34543⫚↹⊑↹⩛2004=↹⩛-2023","layer":0}]} +{"id":648,"expression_no_base_symbol":"($2121$⨸$1277$⪛(∮$2017$)≃($1432$∀⇚≩$1792$≬⇓($3086$⫔⩽⩺$4716$)))+⪬∐(($5053$⇣⩺⋵$3052$)∓⋝($7084$∪⫐$1346$)⫲≸⪮((≔$4217$)⪔$4175$≚⊃≕$4546$))","expression":"(↹⩛13453⨸↹⩛5525⪛(∮↹⩛13201)≃(↹⩛10344∀⇚≩↹⩛12144≬⇓(↹⩛22142⫔⩽⩺↹⩛33500)))+⪬∐((↹⩛35221⇣⩺⋵↹⩛22044)∓⋝(↹⩛52444∪⫐↹⩛10122)⫲≸⪮((≔↹⩛31305)⪔↹⩛31155≚⊃≕↹⩛33014))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13058,"operation_count":15,"complexity_ratio":870.5333333333333,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2121,"base":6},"right_expr":{"type":"numeric_atoms","value":1277,"base":6}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2017,"base":6}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1432,"base":6},"right_expr":{"type":"numeric_atoms","value":1792,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3086,"base":6},"right_expr":{"type":"numeric_atoms","value":4716,"base":6}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5053,"base":6},"right_expr":{"type":"numeric_atoms","value":3052,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":7084,"base":6},"right_expr":{"type":"numeric_atoms","value":1346,"base":6}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":4217,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4175,"base":6},"right_expr":{"type":"numeric_atoms","value":4546,"base":6}}}}},"used_operators":["2GS7woTJqF","YbVcJGFEVW","uFcxV4UQCh","KmoU8R5UQR","CqXKPLVYql","jWTQ2TZYIH","LRNGc0VcxI","i9eR4S00cU","P3lXMJvFrc","PoHhknlbAi","F4yD0voBRQ","7YooWSwCyH","GjBEYRfMaF","8FLs4eVsLt","Bmrmz2XGnR"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","X99M06cbEe","Tw270M8GLb","fu6greOZ01","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rJVOvQCfKK","2DDjHMKMc0","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2121","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=1277, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4242","layer":3},{"info":"number node, value=2017","layer":4},{"info":"compute unary expreesion, input=2017, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=4242, right_input=67, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=21","layer":2},{"info":"number node, value=1432","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1792, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3086","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=4716, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"number node, value=5053","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=5053, right_input=3052, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=7084","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=7084, right_input=1346, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7084","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=7084, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=4217","layer":4},{"info":"compute unary expreesion, input=4217, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-116782","layer":3},{"info":"number node, value=4175","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=4175, right_input=4546, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)��≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-116782, right_input=67, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=450, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13453⨸↹⩛5525⪛(∮↹⩛13201)≃(↹⩛10344∀⇚≩↹⩛12144≬⇓(↹⩛22142⫔⩽⩺↹⩛33500)))+⪬∐((↹⩛35221⇣⩺⋵↹⩛22044)∓⋝(↹⩛52444∪⫐↹⩛10122)⫲≸⪮((≔↹⩛31305)⪔↹⩛31155≚⊃≕↹⩛33014))=NaN","reverse_text":"NaN=(↹⩛13453⨸↹⩛5525⪛(∮↹⩛13201)≃(↹⩛10344∀⇚≩↹⩛12144≬⇓(↹⩛22142⫔⩽⩺↹⩛33500)))+⪬∐((↹⩛35221⇣⩺⋵↹⩛22044)∓⋝(↹⩛52444∪⫐↹⩛10122)⫲≸⪮((≔↹⩛31305)⪔↹⩛31155≚⊃≕↹⩛33014))","cot":[{"info":"↹⩛13453⨸↹⩛5525=↹⩛31350","layer":3},{"info":"∮↹⩛13201=↹⩛151","layer":3},{"info":"↹⩛31350⪛↹⩛151=↹⩛33","layer":2},{"info":"↹⩛10344∀⇚≩↹⩛12144=NaN","layer":3},{"info":"↹⩛22142⫔⩽⩺↹⩛33500=NaN","layer":3},{"info":"NaN≬⇓NaN=NaN","layer":2},{"info":"↹⩛33≃NaN=NaN","layer":1},{"info":"↹⩛35221⇣⩺⋵↹⩛22044=↹⩛-1112","layer":3},{"info":"↹⩛52444∪⫐↹⩛10122=↹⩛52444","layer":3},{"info":"↹⩛-1112∓⋝↹⩛52444=↹⩛151","layer":2},{"info":"≔↹⩛31305=↹⩛-2300354","layer":3},{"info":"↹⩛31155≚⊃≕↹⩛33014=↹⩛151","layer":3},{"info":"↹⩛-2300354⪔↹⩛151=↹⩛2030","layer":2},{"info":"↹⩛151⫲≸⪮↹⩛2030=↹⩛151","layer":1},{"info":"NaN+⪬∐↹⩛151=NaN","layer":0}]} +{"id":649,"expression_no_base_symbol":"(↩(($1555$⫏⊷)⫲⨊))⫢⨠(($2072$↙$6925$)⪔$2618$↳≱$5858$)∣($1477$⊲⩕⊾$6097$⫌⩉⩟$2991$⇤$2039$)","expression":"(↩((↹⩛11111⫏⊷)⫲⨊))⫢⨠((↹⩛13332↙↹⩛52021)⪔↹⩛20042↳≱↹⩛43042)∣(↹⩛10501⊲⩕⊾↹⩛44121⫌⩉⩟↹⩛21503⇤↹⩛13235)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":219387,"operation_count":11,"complexity_ratio":19944.272727272728,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1555,"base":6}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2072,"base":6},"right_expr":{"type":"numeric_atoms","value":6925,"base":6}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2618,"base":6},"right_expr":{"type":"numeric_atoms","value":5858,"base":6}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1477,"base":6},"right_expr":{"type":"numeric_atoms","value":6097,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2991,"base":6},"right_expr":{"type":"numeric_atoms","value":2039,"base":6}}}}},"used_operators":["xlXykHWxX1","jLgFTUHLKL","CArV6hThFE","dcShxvzhyw","PPChnnnBFF","GjBEYRfMaF","yyfyN0ffXY","JwTKLfZU96","XIIwhv8d0m","DmTXOeWf9t","YSKBFp38Pu"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","tmPS8pqC7x","DpFCA1CohY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-3317","layer":2},{"info":"compute unary expreesion, input=-3317, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=15888","layer":1},{"info":"number node, value=2072","layer":4},{"info":"number node, value=6925","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=6925, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20775","layer":3},{"info":"number node, value=2618","layer":4},{"info":"number node, value=5858","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=5858, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-20775, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":2},{"info":"number node, value=1477","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=6097, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-81232","layer":3},{"info":"number node, value=2991","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=2039, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22302","layer":3},{"info":"compute binary expreesion, left_input=-81232, right_input=-22302, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-6760, right_input=-50, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=7244","layer":1},{"info":"compute binary expreesion, left_input=15888, right_input=7244, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↩((↹⩛11111⫏⊷)⫲⨊))⫢⨠((↹⩛13332↙↹⩛52021)⪔↹⩛20042↳≱↹⩛43042)∣(↹⩛10501⊲⩕⊾↹⩛44121⫌⩉⩟↹⩛21503⇤↹⩛13235)=↹⩛424","reverse_text":"↹⩛424=(↩((↹⩛11111⫏⊷)⫲⨊))⫢⨠((↹⩛13332↙↹⩛52021)⪔↹⩛20042↳≱↹⩛43042)∣(↹⩛10501⊲⩕⊾↹⩛44121⫌⩉⩟↹⩛21503⇤↹⩛13235)","cot":[{"info":"↹⩛11111⫏⊷=↹⩛-3444","layer":3},{"info":"↹⩛-3444⫲⨊=↹⩛-23205","layer":2},{"info":"↩↹⩛-23205=↹⩛201320","layer":1},{"info":"↹⩛13332↙↹⩛52021=↹⩛-240103","layer":3},{"info":"↹⩛20042↳≱↹⩛43042=↹⩛0","layer":3},{"info":"↹⩛-240103⪔↹⩛0=↹⩛-51144","layer":2},{"info":"↹⩛10501⊲⩕⊾↹⩛44121=↹⩛-1424024","layer":3},{"info":"↹⩛21503⇤↹⩛13235=↹⩛-251130","layer":3},{"info":"↹⩛-1424024⫌⩉⩟↹⩛-251130=↹⩛-122","layer":2},{"info":"↹⩛-51144∣↹⩛-122=↹⩛53312","layer":1},{"info":"↹⩛201320⫢⨠↹⩛53312=↹⩛424","layer":0}]} +{"id":650,"expression_no_base_symbol":"((⋃$2788$)⪨⊡(⇜$3919$))⨫⇇↔((⩦⊞$2414$)⇴($1699$∠↢$4793$))/(($3960$⨟⋌⩍$2551$)⫯⪬∳($1915$⨒$3912$))⩣⫁∢($4109$∐⫣)⨿($1079$⩭)","expression":"((⋃↹⩛20524)⪨⊡(⇜↹⩛30051))⨫⇇↔((⩦⊞↹⩛15102)⇴(↹⩛11511∠↢↹⩛34105))/((↹⩛30200⨟⋌⩍↹⩛15451)⫯⪬∳(↹⩛12511⨒↹⩛30040))⩣⫁∢(↹⩛31005∐⫣)⨿(↹⩛4555⩭)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":31231,"operation_count":15,"complexity_ratio":2082.0666666666666,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2788,"base":6}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3919,"base":6}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2414,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1699,"base":6},"right_expr":{"type":"numeric_atoms","value":4793,"base":6}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3960,"base":6},"right_expr":{"type":"numeric_atoms","value":2551,"base":6}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1915,"base":6},"right_expr":{"type":"numeric_atoms","value":3912,"base":6}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":4109,"base":6}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1079,"base":6}}}}},"used_operators":["XhwjNDsVaA","LXhwmt4mBO","kuIXHzHcAH","3mBM5G4a3l","lFBm8KRb8F","4JB6nKBMSY","u7fv1HBiaC","KbjG8mgYpV","JDUIKTTSIa","d7ASUq0ydm","rGHVDoGpnC","y75s1iXyHd","abYXlopdE0","4CyGpkTkEk","yIPP7u6H5x"],"dependent_operators":["rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Tcnh7f0tEr","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=5678","layer":3},{"info":"number node, value=3919","layer":4},{"info":"compute unary expreesion, input=3919, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-31760","layer":3},{"info":"compute binary expreesion, left_input=5678, right_input=-31760, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=127829","layer":2},{"info":"number node, value=2414","layer":4},{"info":"compute unary expreesion, input=2414, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2141","layer":3},{"info":"number node, value=1699","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=4793, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-72816","layer":3},{"info":"compute binary expreesion, left_input=-2141, right_input=-72816, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-158864","layer":2},{"info":"compute binary expreesion, left_input=127829, right_input=-158864, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=3960","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=2551, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3912, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-11118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11118, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"number node, value=4109","layer":4},{"info":"compute unary expreesion, input=4109, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⋃↹⩛20524)⪨⊡(⇜↹⩛30051))⨫⇇↔((⩦⊞↹⩛15102)⇴(↹⩛11511∠↢↹⩛34105))/((↹⩛30200⨟⋌⩍���⩛15451)⫯⪬∳(↹⩛12511⨒↹⩛30040))⩣⫁∢(↹⩛31005∐⫣)⨿(↹⩛4555⩭)=NaN","reverse_text":"NaN=((⋃↹⩛20524)⪨⊡(⇜↹⩛30051))⨫⇇↔((⩦⊞↹⩛15102)⇴(↹⩛11511∠↢↹⩛34105))/((↹⩛30200⨟⋌⩍↹⩛15451)⫯⪬∳(↹⩛12511⨒↹⩛30040))⩣⫁∢(↹⩛31005∐⫣)⨿(↹⩛4555⩭)","cot":[{"info":"⋃↹⩛20524=↹⩛42142","layer":3},{"info":"⇜↹⩛30051=↹⩛-403012","layer":3},{"info":"↹⩛42142⪨⊡↹⩛-403012=↹⩛2423445","layer":2},{"info":"⩦⊞↹⩛15102=↹⩛-13525","layer":3},{"info":"↹⩛11511∠↢↹⩛34105=↹⩛-1321040","layer":3},{"info":"↹⩛-13525⇴↹⩛-1321040=↹⩛-3223252","layer":2},{"info":"↹⩛2423445⨫⇇↔↹⩛-3223252=↹⩛-2235","layer":1},{"info":"↹⩛30200⨟⋌⩍↹⩛15451=NaN","layer":3},{"info":"↹⩛12511⨒↹⩛30040=↹⩛-123250","layer":3},{"info":"NaN⫯⪬∳↹⩛-123250=NaN","layer":2},{"info":"↹⩛31005∐⫣=↹⩛2315","layer":3},{"info":"↹⩛4555⩭=NaN","layer":3},{"info":"↹⩛2315⨿NaN=↹⩛-1251","layer":2},{"info":"NaN⩣⫁∢↹⩛-1251=NaN","layer":1},{"info":"↹⩛-2235/NaN=NaN","layer":0}]} +{"id":651,"expression_no_base_symbol":"($1240$↺$3537$)⩦($1278$≀⫉$3270$)⫥∨⫟($6722$⋹)∺≝⩲$1008$≴⪞⇿$7740$⨐⩸⫘($4040$⨥⫆$1189$%(→⩰$8860$))⫢⨠($1560$∙⊟$5913$)⫒⫫$2093$≄⊠$5414$","expression":"(↹⩛5424↺↹⩛24213)⩦(↹⩛5530≀⫉↹⩛23050)⫥∨⫟(↹⩛51042⋹)∺≝⩲↹⩛4400≴⪞⇿↹⩛55500⨐⩸⫘(↹⩛30412⨥⫆↹⩛5301%(→⩰↹⩛105004))⫢⨠(↹⩛11120∙⊟↹⩛43213)⫒⫫↹⩛13405≄⊠↹⩛41022","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12192,"operation_count":15,"complexity_ratio":812.8,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1240,"base":6},"right_expr":{"type":"numeric_atoms","value":3537,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1278,"base":6},"right_expr":{"type":"numeric_atoms","value":3270,"base":6}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":6722,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1008,"base":6},"right_expr":{"type":"numeric_atoms","value":7740,"base":6}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4040,"base":6},"right_expr":{"type":"numeric_atoms","value":1189,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":8860,"base":6}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1560,"base":6},"right_expr":{"type":"numeric_atoms","value":5913,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2093,"base":6},"right_expr":{"type":"numeric_atoms","value":5414,"base":6}}}}},"used_operators":["fu6greOZ01","KYD54nUTWz","0kmYd0q39Y","7j4O788W3g","oZj3VtZNQx","KPf6cnQVty","opAxDRczMr","lvlrscuwVU","xlXykHWxX1","k8jYdgA6NY","yXekIHxTD4","o8Pngz0Tml","6Ko8hGgeMq","SxTAKzQCrw","vXNesLlMH1"],"dependent_operators":["3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=3537, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3537","layer":3},{"info":"number node, value=1278","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=3270, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=3537, right_input=2822, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7074","layer":2},{"info":"number node, value=6722","layer":4},{"info":"compute unary expreesion, input=6722, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=7740","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=7740, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1080684","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=1080684, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=7074, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4040","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=4040, right_input=1189, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2254","layer":3},{"info":"number node, value=8860","layer":4},{"info":"compute unary expreesion, input=8860, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2254, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1560","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=5913, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30126","layer":3},{"info":"number node, value=2093","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=5414, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=91292","layer":3},{"info":"compute binary expreesion, left_input=30126, right_input=91292, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', 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":6,"result_base":6,"text":"(↹⩛5424↺↹⩛24213)⩦(↹⩛5530≀⫉↹⩛23050)⫥∨⫟(↹⩛51042⋹)∺≝⩲↹⩛4400≴⪞⇿↹⩛55500⨐⩸⫘(↹⩛30412⨥⫆↹⩛5301%(→⩰↹⩛105004))⫢⨠(↹⩛11120∙⊟↹⩛43213)⫒⫫↹⩛13405≄⊠↹⩛41022=NaN","reverse_text":"NaN=(↹⩛5424↺↹⩛24213)⩦(↹⩛5530≀⫉↹⩛23050)⫥∨⫟(↹⩛51042⋹)∺≝⩲↹⩛4400≴⪞⇿↹⩛55500⨐⩸⫘(↹⩛30412⨥⫆↹⩛5301%(→⩰↹⩛105004))⫢⨠(↹⩛11120∙⊟↹⩛43213)⫒⫫↹⩛13405≄⊠↹⩛41022","cot":[{"info":"↹⩛5424↺↹⩛24213=↹⩛24213","layer":3},{"info":"↹⩛5530≀⫉↹⩛23050=↹⩛21022","layer":3},{"info":"↹⩛24213⩦↹⩛21022=↹⩛52430","layer":2},{"info":"↹⩛51042⋹=↹⩛-32","layer":3},{"info":"↹⩛4400≴⪞⇿↹⩛55500=↹⩛35055100","layer":3},{"info":"↹⩛-32∺≝⩲↹⩛35055100=↹⩛424","layer":2},{"info":"↹⩛52430⫥∨⫟↹⩛424=NaN","layer":1},{"info":"↹⩛30412⨥⫆↹⩛5301=↹⩛14234","layer":3},{"info":"→⩰↹⩛105004=NaN","layer":3},{"info":"↹⩛14234%NaN=NaN","layer":2},{"info":"↹⩛11120∙⊟↹⩛43213=↹⩛351250","layer":3},{"info":"↹⩛13405≄⊠↹⩛41022=↹⩛1542352","layer":3},{"info":"↹⩛351250⫒⫫↹⩛1542352=NaN","layer":2},{"info":"NaN⫢⨠NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]} +{"id":652,"expression_no_base_symbol":"(⩦⊞($1393$⩠))≦↸($2557$⩌⋺$7735$)⫗⊷⫓($1234$⪛⫼$4383$)⪥((∡$6617$⨽$1010$)⪎⩰)","expression":"(⩦⊞(↹⩛10241⩠))≦↸(↹⩛15501⩌⋺↹⩛55451)⫗⊷⫓(↹⩛5414⪛⫼↹⩛32143)⪥((∡↹⩛50345⨽↹⩛4402)⪎⩰)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":94354,"operation_count":10,"complexity_ratio":9435.4,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1393,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2557,"base":6},"right_expr":{"type":"numeric_atoms","value":7735,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1234,"base":6},"right_expr":{"type":"numeric_atoms","value":4383,"base":6}}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6617,"base":6},"right_expr":{"type":"numeric_atoms","value":1010,"base":6}}}}},"used_operators":["QbnwKVWMIQ","RygbFNSyEJ","u7fv1HBiaC","sJAwomhLZr","zashukvMKz","g7Hmc5v1ko","hyuBjUqXlG","2ufhKmSs5H","pRsWfj4Fpp","8HhzD0ZcuI"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛-312","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":2},{"info":"number node, value=2557","layer":4},{"info":"number node, value=7735","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=7735, 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=-10413","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=4383","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=4383, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-10413, right_input=968, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-56, right_input=-134, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=737","layer":1},{"info":"number node, value=6617","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=6617, right_input=1010, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-131355783","layer":3},{"info":"compute unary expreesion, input=-131355783, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=788134698","layer":2},{"info":"compute unary expreesion, input=788134698, 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 binary expreesion, left_input=737, right_input=-34, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":6,"result_base":6,"text":"(⩦⊞(↹⩛10241⩠))≦↸(↹⩛15501⩌⋺↹⩛55451)⫗⊷⫓(↹⩛5414⪛⫼↹⩛32143)⪥((∡↹⩛50345⨽↹⩛4402)⪎⩰)=↹⩛-312","reverse_text":"↹⩛-312=(⩦⊞(↹⩛10241⩠))≦↸(↹⩛15501⩌⋺↹⩛55451)⫗⊷⫓(↹⩛5414⪛⫼↹⩛32143)⪥((∡↹⩛50345⨽↹⩛4402)⪎⩰)","cot":[{"info":"↹⩛10241⩠=↹⩛0","layer":3},{"info":"⩦⊞↹⩛0=↹⩛-132","layer":2},{"info":"↹⩛15501⩌⋺↹⩛55451=↹⩛-120113","layer":3},{"info":"↹⩛5414⪛⫼↹⩛32143=↹⩛4252","layer":3},{"info":"↹⩛-120113⫗⊷⫓↹⩛4252=↹⩛-342","layer":2},{"info":"↹⩛-132≦↸���⩛-342=↹⩛3225","layer":1},{"info":"↹⩛50345⨽↹⩛4402=↹⩛-21011224343","layer":3},{"info":"∡↹⩛-21011224343=↹⩛210112243430","layer":2},{"info":"↹⩛210112243430⪎⩰=↹⩛-54","layer":1},{"info":"↹⩛3225⪥↹⩛-54=↹⩛-312","layer":0}]} +{"id":653,"expression_no_base_symbol":"((($1435$∠↢$2394$)⊉↱≁($2299$↰))⪷)⨀⨒","expression":"(((↹⩛10351∠↢↹⩛15030)⊉↱≁(↹⩛14351↰))⪷)⨀⨒","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":396125,"operation_count":5,"complexity_ratio":79225.0,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1435,"base":6},"right_expr":{"type":"numeric_atoms","value":2394,"base":6}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":2299,"base":6}}}}},"used_operators":["j6NVkjMzuk","Qctrpi3WzA","w2P8NbNXyL","KbjG8mgYpV","bl5wxAcryP"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","Nsiff2A1zJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2394, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-38174","layer":3},{"info":"number node, value=2299","layer":4},{"info":"compute unary expreesion, input=2299, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2198","layer":3},{"info":"compute binary expreesion, left_input=-38174, right_input=2198, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-396042","layer":2},{"info":"compute unary expreesion, input=-396042, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛10351∠↢↹⩛15030)⊉↱≁(↹⩛14351↰))⪷)⨀⨒=NaN","reverse_text":"NaN=(((↹⩛10351∠↢↹⩛15030)⊉↱≁(↹⩛14351↰))⪷)⨀⨒","cot":[{"info":"↹⩛10351∠↢↹⩛15030=↹⩛-452422","layer":3},{"info":"↹⩛14351↰=↹⩛14102","layer":3},{"info":"↹⩛-452422⊉↱≁↹⩛14102=↹⩛-12253310","layer":2},{"info":"↹⩛-12253310⪷=NaN","layer":1},{"info":"NaN⨀⨒=NaN","layer":0}]} +{"id":654,"expression_no_base_symbol":"⩏⊷≩(⇁⨣⪵$5313$⩌⋺$2858$)⋕⪉⪜(($1359$⪄$5945$)∋($1569$+$4019$))","expression":"⩏⊷≩(⇁⨣⪵↹⩛40333⩌⋺↹⩛21122)⋕⪉⪜((↹⩛10143⪄↹⩛43305)∋(↹⩛11133+↹⩛30335))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":255,"operation_count":7,"complexity_ratio":36.42857142857143,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5313,"base":6},"right_expr":{"type":"numeric_atoms","value":2858,"base":6}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1359,"base":6},"right_expr":{"type":"numeric_atoms","value":5945,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1569,"base":6},"right_expr":{"type":"numeric_atoms","value":4019,"base":6}}}}},"used_operators":["uOZ1tnYMDE","z6LnFrNh4i","inkyxCbjAn","g7Hmc5v1ko","ukq6epAj5P","SUmda5xLS4","W4YGzv6Whe"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","B5M0gjZbta","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"↹⩛-534","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5313","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=5313, right_input=2858, 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=-8292","layer":3},{"info":"compute unary expreesion, input=-8292, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1359","layer":4},{"info":"number node, value=5945","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=5945, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-221001","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=4019, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5588","layer":3},{"info":"compute binary expreesion, left_input=-221001, right_input=5588, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=32612","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32612, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=-202","layer":0}],"base":6,"result_base":6,"text":"⩏⊷≩(⇁⨣⪵↹⩛40333⩌⋺↹⩛21122)⋕⪉⪜((↹⩛10143⪄↹⩛43305)∋(↹⩛11133+↹⩛30335))=↹⩛-534","reverse_text":"↹⩛-534=⩏⊷≩(⇁⨣⪵↹⩛40333⩌⋺↹⩛21122)⋕⪉⪜((↹⩛10143⪄↹⩛43305)∋(↹⩛11133+↹⩛30335))","cot":[{"info":"↹⩛40333⩌⋺↹⩛21122=↹⩛-102220","layer":3},{"info":"⇁⨣⪵↹⩛-102220=NaN","layer":2},{"info":"↹⩛10143⪄↹⩛43305=↹⩛-4423053","layer":3},{"info":"↹⩛11133+↹⩛30335=↹⩛41512","layer":3},{"info":"↹⩛-4423053∋↹⩛41512=↹⩛410552","layer":2},{"info":"NaN⋕⪉⪜↹⩛410552=↹⩛540","layer":1},{"info":"⩏⊷≩↹⩛540=↹⩛-534","layer":0}]} +{"id":655,"expression_no_base_symbol":"((≱⇩⩕($1512$⩹$1950$))≧⫂∧(≑⋹($6213$≳⇉$1992$)))⨓((($3062$⫸⇳$7447$)⊬⫿⊭)⋹)","expression":"((≱⇩⩕(↹⩛11000⩹↹⩛13010))≧⫂∧(≑⋹(↹⩛44433≳⇉↹⩛13120)))⨓(((↹⩛22102⫸⇳↹⩛54251)⊬⫿⊭)⋹)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58119948,"operation_count":9,"complexity_ratio":6457772.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1512,"base":6},"right_expr":{"type":"numeric_atoms","value":1950,"base":6}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6213,"base":6},"right_expr":{"type":"numeric_atoms","value":1992,"base":6}}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3062,"base":6},"right_expr":{"type":"numeric_atoms","value":7447,"base":6}}}}},"used_operators":["3ViojmjbAp","Ph9nP6C5qx","3DZMoQKiUl","2Wsdkap16l","6B9nyZLogK","V0kx6qeWkN","opAxDRczMr","v0DYgG9ikt","gx7XJ7hdpj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1950, 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=1948","layer":3},{"info":"compute unary expreesion, input=1948, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=6213","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=6213, right_input=1992, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3062","layer":4},{"info":"number node, value=7447","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=7447, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=212","layer":2},{"info":"compute unary expreesion, input=212, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≱⇩⩕(↹⩛11000⩹↹⩛13010))≧⫂∧(≑⋹(↹⩛44433≳⇉↹⩛13120)))⨓(((↹⩛22102⫸⇳↹⩛54251)⊬⫿⊭)⋹)=NaN","reverse_text":"NaN=((≱⇩⩕(↹⩛11000⩹↹⩛13010))≧⫂∧(≑⋹(↹⩛44433≳⇉↹⩛13120)))⨓(((↹⩛22102⫸⇳↹⩛54251)⊬⫿⊭)⋹)","cot":[{"info":"↹⩛11000⩹↹⩛13010=↹⩛13004","layer":3},{"info":"≱⇩⩕↹⩛13004=↹⩛305","layer":2},{"info":"↹⩛44433≳⇉↹⩛13120=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"↹⩛305≧⫂∧NaN=NaN","layer":1},{"info":"↹⩛22102⫸⇳↹⩛54251=↹⩛0","layer":3},{"info":"↹⩛0⊬⫿⊭=↹⩛552","layer":2},{"info":"↹⩛552⋹=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]} +{"id":656,"expression_no_base_symbol":"(↓⇌(≉$3711$))≭(⊖∈$1163$⫢⨠$1250$)⨳⩥⨓($9114$⋖∅⋲)⇌⫙⪟(↩$1021$)⫥∨⫟(⨴⫝$4511$∺≝⩲$2103$)","expression":"(↓⇌(≉↹⩛25103))≭(⊖∈↹⩛5215⫢⨠↹⩛5442)⨳⩥⨓(↹⩛110110⋖∅⋲)⇌⫙⪟(↩↹⩛4421)⫥∨⫟(⨴⫝↹⩛32515∺≝⩲↹⩛13423)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2311,"operation_count":12,"complexity_ratio":192.58333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3711,"base":6}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1163,"base":6},"right_expr":{"type":"numeric_atoms","value":1250,"base":6}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":9114,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1021,"base":6}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4511,"base":6},"right_expr":{"type":"numeric_atoms","value":2103,"base":6}}}}},"used_operators":["nCS4ZIUYfx","rxpJgHHUmx","PxpmPgHHJV","e1ybzncUwg","YFxL8Sc2Zy","xlXykHWxX1","KYD54nUTWz","AFVx7xoS7T","L95AwlJzhO","jLgFTUHLKL","SVb2v531z1","KPf6cnQVty"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3711","layer":4},{"info":"compute unary expreesion, input=3711, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4242","layer":3},{"info":"compute unary expreesion, input=4242, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4242","layer":2},{"info":"number node, value=1163","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1250, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-2394","layer":2},{"info":"compute binary expreesion, left_input=4242, right_input=-2394, 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=9114","layer":4},{"info":"compute unary expreesion, input=9114, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5388","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=-5388, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=795438","layer":2},{"info":"number node, value=4511","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=4511, right_input=2103, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=795438, right_input=2828198, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↓⇌(≉↹⩛25103))≭(⊖∈↹⩛5215⫢⨠↹⩛5442)⨳⩥⨓(↹⩛110110⋖∅⋲)⇌⫙⪟(↩↹⩛4421)⫥∨⫟(⨴⫝↹⩛32515∺≝⩲↹⩛13423)=NaN","reverse_text":"NaN=(↓⇌(≉↹⩛25103))≭(⊖∈↹⩛5215⫢⨠↹⩛5442)⨳⩥⨓(↹⩛110110⋖∅⋲)⇌⫙⪟(↩↹⩛4421)⫥∨⫟(⨴⫝↹⩛32515∺≝⩲↹⩛13423)","cot":[{"info":"≉↹⩛25103=↹⩛31350","layer":3},{"info":"↓⇌↹⩛31350=↹⩛31350","layer":2},{"info":"↹⩛5215⫢⨠↹⩛5442=↹⩛424","layer":3},{"info":"⊖∈↹⩛424=↹⩛-15030","layer":2},{"info":"↹⩛31350≭↹⩛-15030=NaN","layer":1},{"info":"↹⩛110110⋖∅⋲=↹⩛-12122503","layer":3},{"info":"↩↹⩛4421=↹⩛-40540","layer":3},{"info":"↹⩛-12122503⇌⫙⪟↹⩛-40540=↹⩛25014330","layer":2},{"info":"↹⩛32515∺≝⩲↹⩛13423=↹⩛424","layer":3},{"info":"⨴⫝↹⩛424=↹⩛140341302","layer":2},{"info":"↹⩛25014330⫥∨⫟↹⩛140341302=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]} +{"id":657,"expression_no_base_symbol":"≛(($3087$∠↢$2093$⫔⩽⩺$3744$⋣⋖$3739$)⊀⩕)","expression":"≛((↹⩛22143∠↢↹⩛13405⫔⩽⩺↹⩛25200⋣⋖↹⩛25151)⊀⩕)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":814,"operation_count":5,"complexity_ratio":162.8,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3087,"base":6},"right_expr":{"type":"numeric_atoms","value":2093,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3744,"base":6},"right_expr":{"type":"numeric_atoms","value":3739,"base":6}}}}},"used_operators":["W7eaUhjymW","r0FS3hW4cC","i9eR4S00cU","KbjG8mgYpV","J0M6qkBnIM"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rGHVDoGpnC","nhYeJWJD5X","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3087","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=2093, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-40568","layer":3},{"info":"number node, value=3744","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=3744, right_input=3739, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3744","layer":3},{"info":"compute binary expreesion, left_input=-40568, right_input=3744, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≛((↹⩛22143∠↢↹⩛13405⫔⩽⩺↹⩛25200⋣⋖↹⩛25151)⊀⩕)=NaN","reverse_text":"NaN=≛((↹⩛22143∠↢↹⩛13405⫔⩽⩺↹⩛25200⋣⋖↹⩛25151)⊀⩕)","cot":[{"info":"↹⩛22143∠↢↹⩛13405=↹⩛-511452","layer":3},{"info":"↹⩛25200⋣⋖↹⩛25151=↹⩛25200","layer":3},{"info":"↹⩛-511452⫔⩽⩺↹⩛25200=NaN","layer":2},{"info":"NaN⊀⩕=NaN","layer":1},{"info":"≛NaN=NaN","layer":0}]} +{"id":658,"expression_no_base_symbol":"(⊵⊁(($1328$⋥≓≎$5292$)⩇∃⫛(≸≮$2933$)))≧⫂∧(⪹($1040$↞⋁$4411$)⨂≜($5538$↤⩊$1192$))","expression":"(⊵⊁((↹⩛10052⋥≓≎↹⩛40300)⩇∃⫛(≸≮↹⩛21325)))≧⫂∧(⪹(↹⩛4452↞⋁↹⩛32231)⨂≜(↹⩛41350↤⩊↹⩛5304))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10318,"operation_count":9,"complexity_ratio":1146.4444444444443,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1328,"base":6},"right_expr":{"type":"numeric_atoms","value":5292,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2933,"base":6}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1040,"base":6},"right_expr":{"type":"numeric_atoms","value":4411,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5538,"base":6},"right_expr":{"type":"numeric_atoms","value":1192,"base":6}}}}},"used_operators":["Ph9nP6C5qx","AvED76WdY7","1aApVXNlOP","Qy55tPpLXF","AljMvE3RRm","USyYr0JgAa","k1SHOSEABc","RqrPlJkxDo","13rbtpv6ld"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","tifHPKVTfV","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=5292, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9289","layer":3},{"info":"number node, value=2933","layer":4},{"info":"compute unary expreesion, input=2933, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9289, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":1},{"info":"number node, value=1040","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=4411, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=5538","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=1192, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊵⊁((↹⩛10052⋥≓≎↹⩛40300)⩇∃⫛(≸≮↹⩛21325)))≧⫂∧(⪹(↹⩛4452↞⋁↹⩛32231)⨂≜(↹⩛41350↤⩊↹⩛5304))=NaN","reverse_text":"NaN=(⊵⊁((↹⩛10052⋥≓≎↹⩛40300)⩇∃⫛(≸≮↹⩛21325)))≧⫂∧(⪹(↹⩛4452↞⋁↹⩛32231)⨂≜(↹⩛41350↤⩊↹⩛5304))","cot":[{"info":"↹⩛10052⋥≓≎↹⩛40300=↹⩛111001","layer":3},{"info":"≸≮↹⩛21325=NaN","layer":3},{"info":"↹⩛111001⩇∃⫛NaN=NaN","layer":2},{"info":"⊵⊁NaN=NaN","layer":1},{"info":"↹⩛4452↞⋁↹⩛32231=NaN","layer":3},{"info":"↹⩛41350↤⩊↹⩛5304=NaN","layer":3},{"info":"NaN⨂≜NaN=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]} +{"id":659,"expression_no_base_symbol":"⊢≑≆(⨙⪌($2884$⩧⪆$2275$∷$5348$⇴∐$1468$))","expression":"⊢≑≆(⨙⪌(↹⩛21204⩧⪆↹⩛14311∷↹⩛40432⇴∐↹⩛10444))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":74,"operation_count":5,"complexity_ratio":14.8,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2884,"base":6},"right_expr":{"type":"numeric_atoms","value":2275,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5348,"base":6},"right_expr":{"type":"numeric_atoms","value":1468,"base":6}}}}},"used_operators":["27wFxooxGf","vEGLkm4Z2k","D3AQDKkPcf","Ikt5ks8PT7","HnzytWxmAO"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eewbuw0ToL","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2884","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=2275, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2275","layer":3},{"info":"number node, value=5348","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=1468, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2275, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊢≑≆(⨙⪌(↹⩛21204⩧⪆↹⩛14311∷↹⩛40432⇴∐↹⩛10444))=NaN","reverse_text":"NaN=⊢≑≆(⨙⪌(↹⩛21204⩧⪆↹⩛14311∷↹⩛40432⇴∐↹⩛10444))","cot":[{"info":"↹⩛21204⩧⪆↹⩛14311=↹⩛-14311","layer":3},{"info":"↹⩛40432⇴∐↹⩛10444=NaN","layer":3},{"info":"↹⩛-14311∷NaN=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"⊢≑≆NaN=NaN","layer":0}]} +{"id":660,"expression_no_base_symbol":"(($6660$⪛$1321$)⨑⩅≇($2165$⫭)≨($6104$∕⩚$2843$)⪒⊣⊆($1217$⊱⇼⊻$1888$))⋥⋵⩄($1145$⪟⇏$2531$≎⊠⪸($4652$⫸⊐$4812$))⨑⩅≇((⊈$2637$)⋅⇍$7092$⫲≸⪮$2984$)","expression":"((↹⩛50500⪛↹⩛10041)⨑⩅≇(↹⩛14005⫭)≨(↹⩛44132∕⩚↹⩛21055)⪒⊣⊆(↹⩛5345⊱⇼⊻↹⩛12424))⋥⋵⩄(↹⩛5145⪟⇏↹⩛15415≎⊠⪸(↹⩛33312⫸⊐↹⩛34140))⨑⩅≇((⊈↹⩛20113)⋅⇍↹⩛52500⫲≸⪮↹⩛21452)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21911,"operation_count":15,"complexity_ratio":1460.7333333333333,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6660,"base":6},"right_expr":{"type":"numeric_atoms","value":1321,"base":6}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2165,"base":6}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6104,"base":6},"right_expr":{"type":"numeric_atoms","value":2843,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1217,"base":6},"right_expr":{"type":"numeric_atoms","value":1888,"base":6}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":2531,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4652,"base":6},"right_expr":{"type":"numeric_atoms","value":4812,"base":6}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2637,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":7092,"base":6},"right_expr":{"type":"numeric_atoms","value":2984,"base":6}}}}},"used_operators":["7t3wd0Fuz7","0KMCeP1Jsh","h92wMvzauj","uFcxV4UQCh","t4WUHVGj7f","eRqsBgTDFp","z9ffQ9n5Zr","FyVja0WsTP","bJkvcejdHO","GODebY97qR","mqXw5SEYmG","AdZkA7nFnk","RHru8klgy8","P3lXMJvFrc"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","sdazOOVcIp","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","12rbrZMWeM","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛44550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6660","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=6660, right_input=1321, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=55","layer":3},{"info":"number node, value=2165","layer":4},{"info":"compute unary expreesion, input=2165, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=6736","layer":3},{"info":"compute binary expreesion, left_input=55, right_input=6736, 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=-165","layer":2},{"info":"number node, value=6104","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=2843, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6107","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1888, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-6107, right_input=434, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13184","layer":2},{"info":"compute binary expreesion, left_input=-165, right_input=13184, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-16","layer":1},{"info":"number node, value=1145","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2531, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4652","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=4812, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19123","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=19123, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=259","layer":2},{"info":"number node, value=2637","layer":4},{"info":"compute unary expreesion, input=2637, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2811","layer":3},{"info":"number node, value=7092","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=7092, right_input=2984, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7092","layer":3},{"info":"compute binary expreesion, left_input=-2811, right_input=7092, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=259, right_input=-22, 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=-777","layer":1},{"info":"compute binary expreesion, left_input=-16, right_input=-777, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=6258","layer":0}],"base":6,"result_base":6,"text":"((↹⩛50500⪛↹⩛10041)⨑⩅≇(↹⩛14005⫭)≨(↹⩛44132∕⩚↹⩛21055)⪒⊣⊆(↹⩛5345⊱⇼⊻↹⩛12424))⋥⋵⩄(↹⩛5145⪟⇏↹⩛15415≎⊠⪸(↹⩛33312⫸⊐↹⩛34140))⨑⩅≇((⊈↹⩛20113)⋅⇍↹⩛52500⫲≸⪮↹⩛21452)=↹⩛44550","reverse_text":"↹⩛44550=((↹⩛50500⪛↹⩛10041)⨑⩅≇(↹⩛14005⫭)≨(↹⩛44132∕⩚↹⩛21055)⪒⊣⊆(↹⩛5345⊱⇼⊻↹⩛12424))⋥⋵⩄(↹⩛5145⪟⇏↹⩛15415≎⊠⪸(↹⩛33312⫸⊐↹⩛34140))⨑⩅≇((⊈↹⩛20113)⋅⇍↹⩛52500⫲≸⪮↹⩛21452)","cot":[{"info":"↹⩛50500⪛↹⩛10041=↹⩛131","layer":3},{"info":"↹⩛14005⫭=↹⩛51104","layer":3},{"info":"↹⩛131⨑⩅≇↹⩛51104=↹⩛-433","layer":2},{"info":"↹⩛44132∕⩚↹⩛21055=↹⩛-44135","layer":3},{"info":"↹⩛5345⊱⇼⊻↹⩛12424=↹⩛2002","layer":3},{"info":"↹⩛-44135⪒⊣⊆↹⩛2002=↹⩛141012","layer":2},{"info":"↹⩛-433≨↹⩛141012=↹⩛-24","layer":1},{"info":"↹⩛5145⪟⇏↹⩛15415=↹⩛-1","layer":3},{"info":"↹⩛33312⫸⊐↹⩛34140=↹⩛224311","layer":3},{"info":"↹⩛-1≎⊠⪸↹⩛224311=↹⩛1111","layer":2},{"info":"⊈↹⩛20113=↹⩛-21003","layer":3},{"info":"↹⩛52500⫲≸⪮↹⩛21452=↹⩛52500","layer":3},{"info":"↹⩛-21003⋅⇍↹⩛52500=↹⩛-34","layer":2},{"info":"↹⩛1111⨑⩅≇↹⩛-34=↹⩛-3333","layer":1},{"info":"↹⩛-24⋥⋵⩄↹⩛-3333=↹⩛44550","layer":0}]} +{"id":661,"expression_no_base_symbol":"($4727$⨐⩸⫘$5017$)⩖⊿($4004$⩧⪆$3171$)⨒(∷≠$1229$)↳≱(⪁⇼$5592$)⊉≛↸(⪫⨮⊛(⫯(⨴⫝$5541$)))","expression":"(↹⩛33515⨐⩸⫘↹⩛35121)⩖⊿(↹⩛30312⩧⪆↹⩛22403)⨒(∷≠↹⩛5405)↳≱(⪁⇼↹⩛41520)⊉≛↸(⪫⨮⊛(⫯(⨴⫝↹⩛41353)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2137868757,"operation_count":11,"complexity_ratio":194351705.1818182,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4727,"base":6},"right_expr":{"type":"numeric_atoms","value":5017,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4004,"base":6},"right_expr":{"type":"numeric_atoms","value":3171,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1229,"base":6}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5592,"base":6}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":5541,"base":6}}}}},"used_operators":["DZ8iAZOCBD","y75s1iXyHd","RZ5CV9rWsJ","fu6greOZ01","Ikt5ks8PT7","JwTKLfZU96","QiR2Oyf5Xj","ZNVVrZ94lY","w5FWba1tyO","H6BK1Evt7c","SVb2v531z1"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","3ViojmjbAp","eewbuw0ToL","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4727","layer":4},{"info":"number node, value=5017","layer":4},{"info":"compute binary expreesion, left_input=4727, right_input=5017, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4004","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=3171, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3171","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3171, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1229","layer":3},{"info":"number node, value=5592","layer":4},{"info":"compute unary expreesion, input=5592, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=1229, right_input=422, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=5541","layer":4},{"info":"compute unary expreesion, input=5541, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-118769528","layer":2},{"info":"compute unary expreesion, input=-118769528, 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=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛33515⨐⩸⫘↹⩛35121)⩖⊿(↹⩛30312⩧⪆↹⩛22403)⨒(∷≠↹⩛5405)↳≱(⪁⇼↹⩛41520)⊉≛↸(⪫⨮⊛(⫯(⨴⫝↹⩛41353)))=NaN","reverse_text":"NaN=(↹⩛33515⨐⩸⫘↹⩛35121)⩖⊿(↹⩛30312⩧⪆↹⩛22403)⨒(∷≠↹⩛5405)↳≱(⪁⇼↹⩛41520)⊉≛↸(⪫⨮⊛(⫯(⨴⫝↹⩛41353)))","cot":[{"info":"↹⩛33515⨐⩸⫘↹⩛35121=NaN","layer":3},{"info":"↹⩛30312⩧⪆↹⩛22403=↹⩛-22403","layer":3},{"info":"NaN⩖⊿↹⩛-22403=NaN","layer":2},{"info":"∷≠↹⩛5405=↹⩛5405","layer":3},{"info":"⪁⇼↹⩛41520=↹⩛1542","layer":3},{"info":"↹⩛5405↳≱↹⩛1542=↹⩛0","layer":2},{"info":"NaN⨒↹⩛0=NaN","layer":1},{"info":"⨴⫝↹⩛41353=↹⩛140341302","layer":3},{"info":"⫯↹⩛140341302=↹⩛-15441350532","layer":2},{"info":"⪫⨮⊛↹⩛-15441350532=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]} +{"id":662,"expression_no_base_symbol":"(⊑($4143$⪃⊛⇣$3708$⩒⫫($7295$⋷$1042$)))⋛(≸(⊿(⋎⨆$1552$)))","expression":"(⊑(↹⩛31103⪃⊛⇣↹⩛25100⩒⫫(↹⩛53435⋷↹⩛4454)))⋛(≸(⊿(⋎⨆↹⩛11104)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2066,"operation_count":8,"complexity_ratio":258.25,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4143,"base":6},"right_expr":{"type":"numeric_atoms","value":3708,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7295,"base":6},"right_expr":{"type":"numeric_atoms","value":1042,"base":6}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1552,"base":6}}}}},"used_operators":["YbUVn0Rbpy","IkUmn0D7oy","KFSx94NKJn","rrgAzCduG9","23Mk6UjR3U","eOf03JbCpp","DO4fhlbJSI","E64sFOc4tB"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"↹⩛-2353110","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4143","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=4143, right_input=3708, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=7295","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=7295, right_input=1042, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5211","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-5211, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=932","layer":2},{"info":"compute unary expreesion, input=932, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=1552","layer":4},{"info":"compute unary expreesion, input=1552, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":2},{"info":"compute unary expreesion, input=-738, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=968, 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=-123810","layer":0}],"base":6,"result_base":6,"text":"(⊑(↹⩛31103⪃⊛⇣↹⩛25100⩒⫫(↹⩛53435⋷↹⩛4454)))⋛(≸(⊿(⋎⨆↹⩛11104)))=↹⩛-2353110","reverse_text":"↹⩛-2353110=(⊑(↹⩛31103⪃⊛⇣↹⩛25100⩒⫫(↹⩛53435⋷↹⩛4454)))⋛(≸(⊿(⋎⨆↹⩛11104)))","cot":[{"info":"↹⩛31103⪃⊛⇣↹⩛25100=↹⩛5414","layer":3},{"info":"↹⩛53435⋷↹⩛4454=↹⩛-40043","layer":3},{"info":"↹⩛5414⩒⫫↹⩛-40043=↹⩛4152","layer":2},{"info":"⊑↹⩛4152=↹⩛520","layer":1},{"info":"⋎⨆↹⩛11104=↹⩛0","layer":3},{"info":"⊿↹⩛0=↹⩛-3230","layer":2},{"info":"≸↹⩛-3230=↹⩛4252","layer":1},{"info":"↹⩛520⋛↹⩛4252=↹⩛-2353110","layer":0}]} +{"id":663,"expression_no_base_symbol":"((≀↧⇸$4223$)≝⊰⇂)↞⋁(($4510$↳≱$1368$)⨿$2914$⪝$1992$)↙((⇤←$1073$)⪄$1006$⪇≇⋚$3029$⊍⩺⋍($3425$⨹)⫒⫫$1169$≄⊠$1927$)","expression":"((≀↧⇸↹⩛31315)≝⊰⇂)↞⋁((↹⩛32514↳≱↹⩛10200)⨿↹⩛21254⪝↹⩛13120)↙((⇤←↹⩛4545)⪄↹⩛4354⪇≇⋚↹⩛22005⊍⩺⋍(↹⩛23505⨹)⫒⫫↹⩛5225≄⊠↹⩛12531)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5978,"operation_count":14,"complexity_ratio":427.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4223,"base":6}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4510,"base":6},"right_expr":{"type":"numeric_atoms","value":1368,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2914,"base":6},"right_expr":{"type":"numeric_atoms","value":1992,"base":6}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1073,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1006,"base":6},"right_expr":{"type":"numeric_atoms","value":3029,"base":6}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":3425,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1169,"base":6},"right_expr":{"type":"numeric_atoms","value":1927,"base":6}}}}},"used_operators":["yyfyN0ffXY","RqrPlJkxDo","htSmYCowi5","ljTHtUsqzn","abYXlopdE0","JwTKLfZU96","wicAB68Tmb","OXDGMFPWZM","SUmda5xLS4","jfAgQ2OQeM","3sJ7IOPOlU","6Ko8hGgeMq","UnCoSGIALn","vXNesLlMH1"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","DlLNRPXxWL","XPYlsWDdGa","23Mk6UjR3U","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","mp7IySMOzn","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4223","layer":4},{"info":"compute unary expreesion, input=4223, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8446","layer":3},{"info":"compute unary expreesion, input=8446, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":2},{"info":"number node, value=4510","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=1368, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=1992, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4087","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4087, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=121, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3999","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=3029, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3999, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=3425","layer":4},{"info":"compute unary expreesion, input=3425, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=6850","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1927, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=35500","layer":3},{"info":"compute binary expreesion, left_input=6850, right_input=35500, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≀↧⇸↹⩛31315)≝⊰⇂)↞⋁((↹⩛32514↳≱↹⩛10200)⨿↹⩛21254⪝↹⩛13120)↙((⇤←↹⩛4545)⪄↹⩛4354⪇≇⋚↹⩛22005⊍⩺⋍(↹⩛23505⨹)⫒⫫↹⩛5225≄⊠↹⩛12531)=NaN","reverse_text":"NaN=((≀↧⇸↹⩛31315)≝⊰⇂)↞⋁((↹⩛32514↳≱↹⩛10200)⨿↹⩛21254⪝↹⩛13120)↙((⇤←↹⩛4545)⪄↹⩛4354⪇≇⋚↹⩛22005⊍⩺⋍(↹⩛23505⨹)⫒⫫↹⩛5225≄⊠↹⩛12531)","cot":[{"info":"≀↧⇸↹⩛31315=↹⩛103034","layer":3},{"info":"↹⩛103034≝⊰⇂=↹⩛0","layer":2},{"info":"↹⩛32514↳≱↹⩛10200=↹⩛0","layer":3},{"info":"↹⩛21254⪝↹⩛13120=↹⩛-30531","layer":3},{"info":"↹⩛0⨿↹⩛-30531=↹⩛321","layer":2},{"info":"↹⩛0↞⋁↹⩛321=NaN","layer":1},{"info":"⇤←↹⩛4545=↹⩛-30303","layer":3},{"info":"↹⩛4354⪇≇⋚↹⩛22005=↹⩛0","layer":3},{"info":"↹⩛-30303⪄↹⩛0=↹⩛30231","layer":2},{"info":"↹⩛23505⨹=↹⩛51414","layer":3},{"info":"↹⩛5225≄⊠↹⩛12531=↹⩛432204","layer":3},{"info":"↹⩛51414⫒⫫↹⩛432204=NaN","layer":2},{"info":"↹⩛30231⊍⩺⋍NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]} +{"id":664,"expression_no_base_symbol":"(∂⩏⊆($1794$↬⩅∪)⩦($4368$+⇶⊼$3236$))⇚⪠","expression":"(∂⩏⊆(↹⩛12150↬⩅∪)⩦(↹⩛32120+⇶⊼↹⩛22552))⇚⪠","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":48,"operation_count":5,"complexity_ratio":9.6,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1794,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4368,"base":6},"right_expr":{"type":"numeric_atoms","value":3236,"base":6}}}}},"used_operators":["Loh9y4A90B","8WDwsbhb0R","0kmYd0q39Y","VJ330n2nnx","TpPTUOHfaN"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","14qkJME0vr","eLAdDNolq6","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"compute unary expreesion, input=1794, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5382","layer":3},{"info":"number node, value=4368","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=4368, right_input=3236, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5382, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∂⩏⊆(↹⩛12150↬⩅∪)⩦(↹⩛32120+⇶⊼↹⩛22552))⇚⪠=NaN","reverse_text":"NaN=(∂⩏⊆(↹⩛12150↬⩅∪)⩦(↹⩛32120+⇶⊼↹⩛22552))⇚⪠","cot":[{"info":"↹⩛12150↬⩅∪=↹⩛-40530","layer":3},{"info":"↹⩛32120+⇶⊼↹⩛22552=NaN","layer":3},{"info":"↹⩛-40530⩦NaN=NaN","layer":2},{"info":"∂⩏⊆NaN=NaN","layer":1},{"info":"NaN⇚⪠=NaN","layer":0}]} +{"id":665,"expression_no_base_symbol":"(($2308$⨔≚≋$2236$)⇯⋐)⨑⩅≇(⇵⪽(⫯$7428$))⋭≵(≀↧⇸((↔$6674$)⪍↜⋙$1907$≝⊿$1395$))","expression":"((↹⩛14404⨔≚≋↹⩛14204)⇯⋐)⨑⩅≇(⇵⪽(⫯↹⩛54220))⋭≵(≀↧⇸((↔↹⩛50522)⪍↜⋙↹⩛12455≝⊿↹⩛10243))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":261,"operation_count":10,"complexity_ratio":26.1,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2308,"base":6},"right_expr":{"type":"numeric_atoms","value":2236,"base":6}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":7428,"base":6}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6674,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1907,"base":6},"right_expr":{"type":"numeric_atoms","value":1395,"base":6}}}}},"used_operators":["jBncVCNhdl","h92wMvzauj","LkLIoiE525","Z57zeUYC9z","ZGCBLdVRRX","H6BK1Evt7c","ljTHtUsqzn","L05ObWFQCd","ruOEQAzv1W","OKKcZfAt5B"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","U7g4x0WXJJ","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","12rbrZMWeM"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2308","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=2236, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=30494","layer":2},{"info":"number node, value=7428","layer":4},{"info":"compute unary expreesion, input=7428, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-297188","layer":3},{"info":"compute unary expreesion, input=-297188, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=30494, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":1},{"info":"number node, value=6674","layer":4},{"info":"compute unary expreesion, input=6674, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6401","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1395, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5230","layer":3},{"info":"compute binary expreesion, left_input=-6401, right_input=-5230, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=41682","layer":2},{"info":"compute unary expreesion, input=41682, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=83364","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=83364, 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":6,"result_base":6,"text":"((↹⩛14404⨔≚≋↹⩛14204)⇯⋐)⨑⩅≇(⇵⪽(⫯↹⩛54220))⋭≵(≀↧⇸((↔↹⩛50522)⪍↜⋙↹⩛12455≝⊿↹⩛10243))=↹⩛151","reverse_text":"↹⩛151=((↹⩛14404⨔≚≋↹⩛14204)⇯⋐)⨑⩅≇(⇵⪽(⫯↹⩛54220))⋭≵(≀↧⇸((↔↹⩛50522)⪍↜⋙↹⩛12455≝⊿↹⩛10243))","cot":[{"info":"↹⩛14404⨔≚≋↹⩛14204=↹⩛113412","layer":3},{"info":"↹⩛113412⇯⋐=↹⩛353102","layer":2},{"info":"⫯↹⩛54220=↹⩛-10211512","layer":3},{"info":"⇵⪽↹⩛-10211512=NaN","layer":2},{"info":"↹⩛353102⨑⩅≇NaN=NaN","layer":1},{"info":"↔↹⩛50522=↹⩛-45345","layer":3},{"info":"↹⩛12455≝⊿↹⩛10243=↹⩛-40114","layer":3},{"info":"↹⩛-45345⪍↜⋙↹⩛-40114=↹⩛520550","layer":2},{"info":"≀↧⇸↹⩛520550=↹⩛1441540","layer":1},{"info":"NaN⋭≵↹⩛1441540=↹⩛151","layer":0}]} +{"id":666,"expression_no_base_symbol":"⇤←(⩏⊷≩$2600$⩦$3174$)⪘⫢(($2742$⋥⋵⩄$3335$)↑)","expression":"⇤←(⩏⊷≩↹⩛20012⩦↹⩛22410)⪘⫢((↹⩛20410⋥⋵⩄↹⩛23235)↑)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":100,"operation_count":6,"complexity_ratio":16.666666666666668,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2600,"base":6},"right_expr":{"type":"numeric_atoms","value":3174,"base":6}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2742,"base":6},"right_expr":{"type":"numeric_atoms","value":3335,"base":6}}}}},"used_operators":["jfAgQ2OQeM","oacrs7FA3X","uOZ1tnYMDE","0kmYd0q39Y","BThhyOhh10","7t3wd0Fuz7"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","23Mk6UjR3U","12rbrZMWeM","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"↹⩛10154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2600","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=3174, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5200","layer":3},{"info":"compute unary expreesion, input=5200, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=10099","layer":2},{"info":"number node, value=2742","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=3335, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=10099, right_input=222, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":0}],"base":6,"result_base":6,"text":"⇤←(⩏⊷≩↹⩛20012⩦↹⩛22410)⪘⫢((↹⩛20410⋥⋵⩄↹⩛23235)↑)=↹⩛10154","reverse_text":"↹⩛10154=⇤←(⩏⊷≩↹⩛20012⩦↹⩛22410)⪘⫢((↹⩛20410⋥⋵⩄↹⩛23235)↑)","cot":[{"info":"↹⩛20012⩦↹⩛22410=↹⩛40024","layer":3},{"info":"⩏⊷≩↹⩛40024=↹⩛114431","layer":2},{"info":"↹⩛20410⋥⋵⩄↹⩛23235=↹⩛305","layer":3},{"info":"↹⩛305↑=↹⩛1010","layer":2},{"info":"↹⩛114431⪘⫢↹⩛1010=↹⩛0","layer":1},{"info":"⇤←↹⩛0=↹⩛10154","layer":0}]} +{"id":667,"expression_no_base_symbol":"((≯$2608$)∷(⫛⫱⨽$3047$))⩖⊿(⇖($3480$⫻⋑⊟))⫰⋱(($1405$∌↝$1724$)⊫∞)⇣⩺⋵(≯$5899$)⨚⇆(→⩰$4848$)","expression":"((≯↹⩛20024)∷(⫛⫱⨽↹⩛22035))⩖⊿(⇖(↹⩛24040⫻⋑⊟))⫰⋱((↹⩛10301∌↝↹⩛11552)⊫∞)⇣⩺⋵(≯↹⩛43151)⨚⇆(→⩰↹⩛34240)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30133,"operation_count":13,"complexity_ratio":2317.923076923077,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2608,"base":6}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3047,"base":6}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":3480,"base":6}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1405,"base":6},"right_expr":{"type":"numeric_atoms","value":1724,"base":6}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5899,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4848,"base":6}}}}},"used_operators":["6o9Blt3TJ6","RZ5CV9rWsJ","D3AQDKkPcf","keWfFq85dY","DlLNRPXxWL","tfWHHpNKUN","o575Zjdmzy","F4yD0voBRQ","pABnYW3G3E","9Isq31Ruls","lwHaAYXP2r","o8Pngz0Tml"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","NTOWxs364D","7j4O788W3g","g55IO6H4Gj","JLbD19bQDL","rGHVDoGpnC","2DQ55sFlQl","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"↹⩛-11121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3047","layer":4},{"info":"compute unary expreesion, input=3047, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":2},{"info":"number node, value=3480","layer":4},{"info":"compute unary expreesion, input=3480, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-6450","layer":3},{"info":"compute unary expreesion, input=-6450, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-794, right_input=160, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1594","layer":1},{"info":"number node, value=1405","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1724, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=5899","layer":4},{"info":"compute unary expreesion, input=5899, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4848","layer":4},{"info":"compute unary expreesion, input=4848, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=1594, right_input=-260, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1561","layer":0}],"base":6,"result_base":6,"text":"((≯↹⩛20024)∷(⫛⫱⨽↹⩛22035))⩖⊿(⇖(↹⩛24040⫻⋑⊟))⫰⋱((↹⩛10301∌↝↹⩛11552)⊫∞)⇣⩺⋵(≯↹⩛43151)⨚⇆(→⩰↹⩛34240)=↹⩛-11121","reverse_text":"↹⩛-11121=((≯↹⩛20024)∷(⫛⫱⨽↹⩛22035))⩖⊿(⇖(↹⩛24040⫻⋑⊟))⫰⋱((↹⩛10301∌↝↹⩛11552)⊫∞)⇣⩺⋵(≯↹⩛43151)⨚⇆(→⩰↹⩛34240)","cot":[{"info":"≯↹⩛20024=↹⩛0","layer":3},{"info":"⫛⫱⨽↹⩛22035=↹⩛0","layer":3},{"info":"↹⩛0∷↹⩛0=↹⩛-3402","layer":2},{"info":"↹⩛24040⫻⋑⊟=↹⩛-45510","layer":3},{"info":"⇖↹⩛-45510=↹⩛424","layer":2},{"info":"↹⩛-3402⩖⊿↹⩛424=↹⩛11214","layer":1},{"info":"↹⩛10301∌↝↹⩛11552=↹⩛0","layer":3},{"info":"↹⩛0⊫∞=↹⩛0","layer":2},{"info":"≯↹⩛43151=↹⩛0","layer":3},{"info":"→⩰↹⩛34240=NaN","layer":3},{"info":"↹⩛0⨚⇆NaN=-Inf","layer":2},{"info":"↹⩛0⇣⩺⋵-Inf=↹⩛-1112","layer":1},{"info":"↹⩛11214⫰⋱↹⩛-1112=↹⩛-11121","layer":0}]} +{"id":668,"expression_no_base_symbol":"((⪹$1387$∘$2605$)⫦⪉(↴⪽⋼($3911$⊪)))⪚((⨵(∥⊫$1789$))⩍⋽⫝̸(($2842$≧⫂∧$1345$)⪥$3699$⋕⪉⪜$5615$))","expression":"((⪹↹⩛10231∘↹⩛20021)⫦⪉(↴⪽⋼(↹⩛30035⊪)))⪚((⨵(∥⊫↹⩛12141))⩍⋽⫝̸((↹⩛21054≧⫂∧↹⩛10121)⪥↹⩛25043⋕⪉⪜↹⩛41555))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":199,"operation_count":12,"complexity_ratio":16.583333333333332,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1387,"base":6},"right_expr":{"type":"numeric_atoms","value":2605,"base":6}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3911,"base":6}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1789,"base":6}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2842,"base":6},"right_expr":{"type":"numeric_atoms","value":1345,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3699,"base":6},"right_expr":{"type":"numeric_atoms","value":5615,"base":6}}}}},"used_operators":["HrjLwUk87U","wscyQdcy20","USyYr0JgAa","Z5m6OM72h2","5TUYCnJO6w","zVYPLywUTj","BiWNJpBvwn","Tl3Y52tvF8","P8v4zCKN1o","QbnwKVWMIQ","Ph9nP6C5qx","z6LnFrNh4i"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","tifHPKVTfV","eH2TOUuTDT","rysDP5nf3Z","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Ph9nP6C5qx","xUOZtlo3hN","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"↹⩛-314254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2605, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2774","layer":3},{"info":"compute unary expreesion, input=2774, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2594","layer":2},{"info":"number node, value=3911","layer":4},{"info":"compute unary expreesion, input=3911, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2594, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=9026","layer":1},{"info":"number node, value=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2657","layer":3},{"info":"compute unary expreesion, input=2657, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-22465","layer":2},{"info":"number node, value=2842","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=1345, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=872","layer":3},{"info":"number node, value=3699","layer":4},{"info":"number node, value=5615","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=5615, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=872, right_input=204, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-138","layer":2},{"info":"compute binary expreesion, left_input=-22465, right_input=-138, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=21645","layer":1},{"info":"compute binary expreesion, left_input=9026, right_input=21645, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-25594","layer":0}],"base":6,"result_base":6,"text":"((⪹↹⩛10231∘↹⩛20021)⫦⪉(↴⪽⋼(↹⩛30035⊪)))⪚((⨵(∥⊫↹⩛12141))⩍⋽⫝̸((↹⩛21054≧⫂∧↹⩛10121)⪥↹⩛25043⋕⪉⪜↹⩛41555))=↹⩛-314254","reverse_text":"↹⩛-314254=((⪹↹⩛10231∘↹⩛20021)⫦⪉(↴⪽⋼(↹⩛30035⊪)))⪚((⨵(∥⊫↹⩛12141))⩍⋽⫝̸((↹⩛21054≧⫂∧↹⩛10121)⪥↹⩛25043⋕⪉⪜↹⩛41555))","cot":[{"info":"↹⩛10231∘↹⩛20021=↹⩛20502","layer":3},{"info":"⪹↹⩛20502=↹⩛-20002","layer":2},{"info":"↹⩛30035⊪=↹⩛0","layer":3},{"info":"↴⪽⋼↹⩛0=↹⩛0","layer":2},{"info":"↹⩛-20002⫦⪉↹⩛0=↹⩛105442","layer":1},{"info":"∥⊫↹⩛12141=↹⩛20145","layer":3},{"info":"⨵↹⩛20145=↹⩛-252001","layer":2},{"info":"↹⩛21054≧⫂∧↹⩛10121=↹⩛4012","layer":3},{"info":"↹⩛25043⋕⪉⪜↹⩛41555=↹⩛540","layer":3},{"info":"↹⩛4012⪥↹⩛540=↹⩛-350","layer":2},{"info":"↹⩛-252001⩍⋽⫝̸↹⩛-350=↹⩛244113","layer":1},{"info":"↹⩛105442⪚↹⩛244113=↹⩛-314254","layer":0}]} +{"id":669,"expression_no_base_symbol":"(($2324$⇴$2505$∙∹∝($2566$∪⫐$2538$))≓∲(⨡↴(⨝⨆$2339$)))↼⊘⨖(($6940$⫦⪉$3351$)⫘($3390$↰))≁(($1447$⪪$3148$)+⪬∐$1133$≌$1995$)","expression":"((↹⩛14432⇴↹⩛15333∙∹∝(↹⩛15514∪⫐↹⩛15430))≓∲(⨡↴(⨝⨆↹⩛14455)))↼⊘⨖((↹⩛52044⫦⪉↹⩛23303)⫘(↹⩛23410↰))≁((↹⩛10411⪪↹⩛22324)+⪬∐↹⩛5125≌↹⩛13123)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15987,"operation_count":14,"complexity_ratio":1141.9285714285713,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2324,"base":6},"right_expr":{"type":"numeric_atoms","value":2505,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2566,"base":6},"right_expr":{"type":"numeric_atoms","value":2538,"base":6}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2339,"base":6}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6940,"base":6},"right_expr":{"type":"numeric_atoms","value":3351,"base":6}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3390,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1447,"base":6},"right_expr":{"type":"numeric_atoms","value":3148,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1133,"base":6},"right_expr":{"type":"numeric_atoms","value":1995,"base":6}}}}},"used_operators":["bPywburJMS","s1XTVnmDOJ","HmxsFra2vL","4JB6nKBMSY","7YooWSwCyH","liw5iZPkLH","bQ67fsrMVf","8N2wDY1A35","48vC8HMD2b","wscyQdcy20","bl5wxAcryP","2GS7woTJqF","xD69zh8xqp","lyWz822IDG"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","P8v4zCKN1o","tifHPKVTfV","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","nCS4ZIUYfx","Z2TMIBDE3Q","g55IO6H4Gj","D4vGDi5EA2","FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"↹⩛3021422024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=2505, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=18568","layer":3},{"info":"number node, value=2566","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=2538, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2566","layer":3},{"info":"compute binary expreesion, left_input=18568, right_input=2566, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2339","layer":4},{"info":"compute unary expreesion, input=2339, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2130","layer":3},{"info":"compute unary expreesion, input=2130, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3179","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3179, 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=783","layer":1},{"info":"number node, value=6940","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=6940, right_input=3351, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8980","layer":3},{"info":"number node, value=3390","layer":4},{"info":"compute unary expreesion, input=3390, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3289","layer":3},{"info":"compute binary expreesion, left_input=-8980, right_input=3289, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=39591539","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=3148, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-214586","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1995, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-214586, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=643758","layer":2},{"info":"compute binary expreesion, left_input=39591539, right_input=643758, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=15436991","layer":1},{"info":"compute binary expreesion, left_input=783, right_input=15436991, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=30873760","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14432⇴↹⩛15333∙∹∝(↹⩛15514∪⫐↹⩛15430))≓∲(⨡↴(⨝⨆↹⩛14455)))↼⊘⨖((↹⩛52044⫦⪉↹⩛23303)⫘(↹⩛23410↰))≁((↹⩛10411⪪↹⩛22324)+⪬∐↹⩛5125≌↹⩛13123)=↹⩛3021422024","reverse_text":"↹⩛3021422024=((↹⩛14432⇴↹⩛15333∙∹∝(↹⩛15514∪⫐↹⩛15430))≓∲(⨡↴(⨝⨆↹⩛14455)))↼⊘⨖((↹⩛52044⫦⪉↹⩛23303)⫘(↹⩛23410↰))≁((↹⩛10411⪪↹⩛22324)+⪬∐↹⩛5125≌↹⩛13123)","cot":[{"info":"↹⩛14432⇴↹⩛15333=↹⩛221544","layer":3},{"info":"↹⩛15514∪⫐↹⩛15430=↹⩛15514","layer":3},{"info":"↹⩛221544∙∹∝↹⩛15514=↹⩛0","layer":2},{"info":"⨝⨆↹⩛14455=↹⩛13510","layer":3},{"info":"⨡↴↹⩛13510=↹⩛22415","layer":2},{"info":"↹⩛0≓∲↹⩛22415=↹⩛3343","layer":1},{"info":"↹⩛52044⫦⪉↹⩛23303=↹⩛-105324","layer":3},{"info":"↹⩛23410↰=↹⩛23121","layer":3},{"info":"↹⩛-105324⫘↹⩛23121=↹⩛3532330055","layer":2},{"info":"↹⩛10411⪪↹⩛22324=↹⩛-4333242","layer":3},{"info":"↹⩛5125≌↹⩛13123=NaN","layer":3},{"info":"↹⩛-4333242+⪬∐NaN=↹⩛21444210","layer":2},{"info":"↹⩛3532330055≁↹⩛21444210=↹⩛1310511315","layer":1},{"info":"↹⩛3343↼⊘⨖↹⩛1310511315=↹⩛3021422024","layer":0}]} +{"id":670,"expression_no_base_symbol":"(≇⪴($3250$⩦$4749$⪁$2250$↡⊰⫅$3318$))⊉↱≁((+⊝⨔$2121$)⫯⪬∳($1009$⩺⪪$1348$)∘($3288$⋻⩜⩜$3602$)⫯⪬∳($4618$⪨⊡$3505$))","expression":"(≇⪴(↹⩛23014⩦↹⩛33553⪁↹⩛14230↡⊰⫅↹⩛23210))⊉↱≁((+⊝⨔↹⩛13453)⫯⪬∳(↹⩛4401⩺⪪↹⩛10124)∘(↹⩛23120⋻⩜⩜↹⩛24402)⫯⪬∳(↹⩛33214⪨⊡↹⩛24121))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":110321,"operation_count":12,"complexity_ratio":9193.416666666666,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3250,"base":6},"right_expr":{"type":"numeric_atoms","value":4749,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2250,"base":6},"right_expr":{"type":"numeric_atoms","value":3318,"base":6}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2121,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1009,"base":6},"right_expr":{"type":"numeric_atoms","value":1348,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3288,"base":6},"right_expr":{"type":"numeric_atoms","value":3602,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4618,"base":6},"right_expr":{"type":"numeric_atoms","value":3505,"base":6}}}}},"used_operators":["w2P8NbNXyL","zoVPnxeHJ3","I7sXao9hZE","0kmYd0q39Y","VCtxkLNOzz","Z5m6OM72h2","d7ASUq0ydm","DhbWaqg5eL","uvdQJvN4PV","oDCm7WA9JY","kuIXHzHcAH"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eH2TOUuTDT","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3250","layer":4},{"info":"number node, value=4749","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=4749, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6500","layer":3},{"info":"number node, value=2250","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=3318, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6636","layer":3},{"info":"compute binary expreesion, left_input=6500, right_input=6636, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":1},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1348, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-1818, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4633","layer":2},{"info":"number node, value=3288","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=3602, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6576","layer":3},{"info":"number node, value=4618","layer":4},{"info":"number node, value=3505","layer":4},{"info":"compute binary expreesion, left_input=4618, right_input=3505, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6576, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=32913","layer":2},{"info":"compute binary expreesion, left_input=4633, right_input=32913, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9266","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9266, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≇⪴(↹⩛23014⩦↹⩛33553⪁↹⩛14230↡⊰⫅↹⩛23210))⊉↱≁((+⊝⨔↹⩛13453)⫯⪬∳(↹⩛4401⩺⪪↹⩛10124)∘(↹⩛23120⋻⩜⩜↹⩛24402)⫯⪬∳(↹⩛33214⪨⊡↹⩛24121))=NaN","reverse_text":"NaN=(≇⪴(↹⩛23014⩦↹⩛33553⪁↹⩛14230↡⊰⫅↹⩛23210))⊉↱≁((+⊝⨔↹⩛13453)⫯⪬∳(↹⩛4401⩺⪪↹⩛10124)∘(↹⩛23120⋻⩜⩜↹⩛24402)⫯⪬∳(↹⩛33214⪨⊡↹⩛24121))","cot":[{"info":"↹⩛23014⩦↹⩛33553=↹⩛50032","layer":3},{"info":"↹⩛14230↡⊰⫅↹⩛23210=↹⩛50420","layer":3},{"info":"↹⩛50032⪁↹⩛50420=NaN","layer":2},{"info":"≇⪴NaN=NaN","layer":1},{"info":"+⊝⨔↹⩛13453=↹⩛11014","layer":3},{"info":"↹⩛4401⩺⪪↹⩛10124=↹⩛-12230","layer":3},{"info":"↹⩛11014⫯⪬∳↹⩛-12230=↹⩛33241","layer":2},{"info":"↹⩛23120⋻⩜⩜↹⩛24402=↹⩛50240","layer":3},{"info":"↹⩛33214⪨⊡↹⩛24121=↹⩛0","layer":3},{"info":"↹⩛50240⫯⪬∳↹⩛0=↹⩛412213","layer":2},{"info":"↹⩛33241∘↹⩛412213=↹⩛110522","layer":1},{"info":"NaN⊉↱≁↹⩛110522=NaN","layer":0}]} +{"id":671,"expression_no_base_symbol":"(↑(∐⩳⋚(⊢≑≆$2389$)))↦","expression":"(↑(∐⩳⋚(⊢≑≆↹⩛15021)))↦","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":553,"operation_count":4,"complexity_ratio":138.25,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2389,"base":6}}}}},"used_operators":["fFznvYxMfW","tR7O2zTn5j","SL6IHkK8vl","27wFxooxGf"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=10008","layer":3},{"info":"compute unary expreesion, input=10008, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1492825","layer":2},{"info":"compute unary expreesion, input=1492825, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↑(∐⩳⋚(⊢≑≆↹⩛15021)))↦=NaN","reverse_text":"NaN=(↑(∐⩳⋚(⊢≑≆↹⩛15021)))↦","cot":[{"info":"⊢≑≆↹⩛15021=↹⩛114200","layer":3},{"info":"∐⩳⋚↹⩛114200=↹⩛51555121","layer":2},{"info":"↑↹⩛51555121=↹⩛520","layer":1},{"info":"↹⩛520↦=NaN","layer":0}]} +{"id":672,"expression_no_base_symbol":"(⫟$1191$∠⫱$5813$)⫗⊷⫓(($4563$↱$9073$)⨐($3366$⩖⊿$1583$))⨲","expression":"(⫟↹⩛5303∠⫱↹⩛42525)⫗⊷⫓((↹⩛33043↱↹⩛110001)⨐(↹⩛23330⩖⊿↹⩛11155))⨲","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93020,"operation_count":7,"complexity_ratio":13288.57142857143,"tree":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1191,"base":6},"right_expr":{"type":"numeric_atoms","value":5813,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4563,"base":6},"right_expr":{"type":"numeric_atoms","value":9073,"base":6}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3366,"base":6},"right_expr":{"type":"numeric_atoms","value":1583,"base":6}}}}},"used_operators":["nLYMGWM7L8","zashukvMKz","z4E1FaHLuy","QvoQhV0rrE","Noe24qw2ks","SR5kFfdi6N","RZ5CV9rWsJ"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛244215501","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1191","layer":4},{"info":"number node, value=5813","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=5813, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-2795","layer":2},{"info":"number node, value=4563","layer":4},{"info":"number node, value=9073","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=9073, 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=-26697","layer":3},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1583, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-882","layer":3},{"info":"compute binary expreesion, left_input=-26697, right_input=-882, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=53394","layer":2},{"info":"compute binary expreesion, left_input=-2795, right_input=53394, 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 = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":0}],"base":6,"result_base":6,"text":"(⫟↹⩛5303∠⫱↹⩛42525)⫗⊷⫓((↹⩛33043↱↹⩛110001)⨐(↹⩛23330⩖⊿↹⩛11155))⨲=↹⩛244215501","reverse_text":"↹⩛244215501=(⫟↹⩛5303∠⫱↹⩛42525)⫗⊷⫓((↹⩛33043↱↹⩛110001)⨐(↹⩛23330⩖⊿↹⩛11155))⨲","cot":[{"info":"↹⩛5303∠⫱↹⩛42525=↹⩛5414","layer":3},{"info":"⫟↹⩛5414=↹⩛-20535","layer":2},{"info":"↹⩛33043↱↹⩛110001=↹⩛-323333","layer":3},{"info":"↹⩛23330⩖⊿↹⩛11155=↹⩛-4030","layer":3},{"info":"↹⩛-323333⨐↹⩛-4030=↹⩛1051110","layer":2},{"info":"↹⩛-20535⫗⊷⫓↹⩛1051110=↹⩛-342","layer":1},{"info":"↹⩛-342⨲=↹⩛244215501","layer":0}]} +{"id":673,"expression_no_base_symbol":"≀↧⇸(⊀(⪨⨬$2178$))∼(⪁⇼($1764$⨘⋶⪀))","expression":"≀↧⇸(⊀(⪨⨬↹⩛14030))∼(⪁⇼(↹⩛12100⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":306,"operation_count":6,"complexity_ratio":51.0,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2178,"base":6}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1764,"base":6}}}}},"used_operators":["ljTHtUsqzn","DyGG3AbaNP","oPMjh9089D","5obUd6DV38","ZNVVrZ94lY","XVKwrhznBb"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","T2fj7uvVaJ","nlCqmYiOvY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2178","layer":4},{"info":"compute unary expreesion, input=2178, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8673","layer":2},{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8673, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≀↧⇸(⊀(⪨⨬↹⩛14030))∼(⪁⇼(↹⩛12100⨘⋶⪀))=NaN","reverse_text":"NaN=≀↧⇸(⊀(⪨⨬↹⩛14030))∼(⪁⇼(↹⩛12100⨘⋶⪀))","cot":[{"info":"⪨⨬↹⩛14030=↹⩛-2234","layer":3},{"info":"⊀↹⩛-2234=↹⩛104053","layer":2},{"info":"↹⩛12100⨘⋶⪀=NaN","layer":3},{"info":"⪁⇼NaN=NaN","layer":2},{"info":"↹⩛104053∼NaN=NaN","layer":1},{"info":"≀↧⇸NaN=NaN","layer":0}]} +{"id":674,"expression_no_base_symbol":"($1137$⋛$6625$)⩌⋺$1066$⊕∕$1468$∇⊂⋱(⇖⫷⫕$4115$∴$1869$)→⨶⪴(⊲⪭(⫡⇟⇯$2506$∇⊂⋱$3492$))","expression":"(↹⩛5133⋛↹⩛50401)⩌⋺↹⩛4534⊕∕↹⩛10444∇⊂⋱(⇖⫷⫕↹⩛31015∴↹⩛12353)→⨶⪴(⊲⪭(⫡⇟⇯↹⩛15334∇⊂⋱↹⩛24100))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1221,"operation_count":10,"complexity_ratio":122.1,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1137,"base":6},"right_expr":{"type":"numeric_atoms","value":6625,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1066,"base":6},"right_expr":{"type":"numeric_atoms","value":1468,"base":6}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4115,"base":6},"right_expr":{"type":"numeric_atoms","value":1869,"base":6}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2506,"base":6},"right_expr":{"type":"numeric_atoms","value":3492,"base":6}}}}},"used_operators":["bF6eod5Gvf","nhYeJWJD5X","g7Hmc5v1ko","YbUVn0Rbpy","9cloC0Ngie","UHmRx3INFg","hrf7POJlIJ","k7HXdKtiEU","qWUSsah53b"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","i8ToyICDmI","xUOZtlo3hN","DZ8iAZOCBD","P8v4zCKN1o"],"result":"↹⩛14431400","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1137","layer":4},{"info":"number node, value=6625","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=6625, 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=-121959","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1468, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1066","layer":3},{"info":"compute binary expreesion, left_input=-121959, right_input=1066, 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=120772","layer":2},{"info":"number node, value=4115","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=1869, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9878","layer":3},{"info":"compute unary expreesion, input=9878, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=120772, right_input=2822, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=240998","layer":1},{"info":"number node, value=2506","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=3492, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4466","layer":3},{"info":"compute unary expreesion, input=4466, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=9800","layer":2},{"info":"compute unary expreesion, input=9800, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-9974","layer":1},{"info":"compute binary expreesion, left_input=240998, right_input=-9974, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=501912","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5133⋛↹⩛50401)⩌⋺↹⩛4534⊕∕↹⩛10444∇⊂⋱(⇖⫷⫕↹⩛31015∴↹⩛12353)→⨶⪴(⊲⪭(⫡⇟⇯↹⩛15334∇⊂⋱↹⩛24100))=↹⩛14431400","reverse_text":"↹⩛14431400=(↹⩛5133⋛↹⩛50401)⩌⋺↹⩛4534⊕∕↹⩛10444∇⊂⋱(⇖⫷⫕↹⩛31015∴↹⩛12353)→⨶⪴(⊲⪭(⫡⇟⇯↹⩛15334∇⊂⋱↹⩛24100))","cot":[{"info":"↹⩛5133⋛↹⩛50401=↹⩛-2340343","layer":3},{"info":"↹⩛4534⊕∕↹⩛10444=↹⩛4534","layer":3},{"info":"↹⩛-2340343⩌⋺↹⩛4534=↹⩛2331044","layer":2},{"info":"↹⩛31015∴↹⩛12353=↹⩛113422","layer":3},{"info":"⇖⫷⫕↹⩛113422=↹⩛21022","layer":2},{"info":"↹⩛2331044∇⊂⋱↹⩛21022=↹⩛5055422","layer":1},{"info":"↹⩛15334∇⊂⋱↹⩛24100=↹⩛32402","layer":3},{"info":"⫡⇟⇯↹⩛32402=↹⩛113212","layer":2},{"info":"⊲⪭↹⩛113212=↹⩛-114102","layer":1},{"info":"↹⩛5055422→⨶⪴↹⩛-114102=↹⩛14431400","layer":0}]} +{"id":675,"expression_no_base_symbol":"(⪝⪂⫅($4473$⋘⨑⨽)⊋($1417$⇄$4533$))⨵⪆($3714$⋫)⫰⋱$1114$⪨⊡$4548$↙(⫯$3634$)↬$3885$⩦$1328$","expression":"(⪝⪂⫅(↹⩛32413⋘⨑⨽)⊋(↹⩛10321⇄↹⩛32553))⨵⪆(↹⩛25110⋫)⫰⋱↹⩛5054⪨⊡↹⩛33020↙(⫯↹⩛24454)↬↹⩛25553⩦↹⩛10052","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4044,"operation_count":12,"complexity_ratio":337.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":4473,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1417,"base":6},"right_expr":{"type":"numeric_atoms","value":4533,"base":6}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3714,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1114,"base":6},"right_expr":{"type":"numeric_atoms","value":4548,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3634,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3885,"base":6},"right_expr":{"type":"numeric_atoms","value":1328,"base":6}}}}},"used_operators":["2DQ55sFlQl","XTarYq4gQB","W4tP9CfskL","WmT3o8z6ya","3EYGwJThht","yyfyN0ffXY","6o9Blt3TJ6","JL8yIekQnl","kuIXHzHcAH","B5M0gjZbta","H6BK1Evt7c","0kmYd0q39Y"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","tmPS8pqC7x","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rGHVDoGpnC","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4473","layer":4},{"info":"compute unary expreesion, input=4473, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=23148","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=4533","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=4533, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=23148, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":2},{"info":"compute unary expreesion, input=-5454, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=801738","layer":1},{"info":"number node, value=3714","layer":4},{"info":"compute unary expreesion, input=3714, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3714","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=4548, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3714, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3681","layer":2},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-137840","layer":3},{"info":"number node, value=3885","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=1328, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7770","layer":3},{"info":"compute binary expreesion, left_input=-137840, right_input=7770, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3681, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3681","layer":1},{"info":"compute binary expreesion, left_input=801738, right_input=-3681, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅(↹⩛32413⋘⨑⨽)⊋(↹⩛10321⇄↹⩛32553))⨵⪆(↹⩛25110⋫)⫰⋱↹⩛5054⪨⊡↹⩛33020↙(⫯↹⩛24454)↬↹⩛25553⩦↹⩛10052=↹⩛424","reverse_text":"↹⩛424=(⪝⪂⫅(↹⩛32413⋘⨑⨽)⊋(↹⩛10321⇄↹⩛32553))⨵⪆(↹⩛25110⋫)⫰⋱↹⩛5054⪨⊡↹⩛33020↙(⫯↹⩛24454)↬↹⩛25553⩦↹⩛10052","cot":[{"info":"↹⩛32413⋘⨑⨽=↹⩛255100","layer":3},{"info":"↹⩛10321⇄↹⩛32553=↹⩛0","layer":3},{"info":"↹⩛255100⊋↹⩛0=↹⩛-41130","layer":2},{"info":"⪝⪂⫅↹⩛-41130=↹⩛25103430","layer":1},{"info":"↹⩛25110⋫=↹⩛25110","layer":3},{"info":"↹⩛5054⪨⊡↹⩛33020=↹⩛0","layer":3},{"info":"↹⩛25110⫰⋱↹⩛0=↹⩛-25013","layer":2},{"info":"⫯↹⩛24454=↹⩛-2542052","layer":3},{"info":"↹⩛25553⩦↹⩛10052=↹⩛55550","layer":3},{"info":"↹⩛-2542052↬↹⩛55550=NaN","layer":2},{"info":"↹⩛-25013↙NaN=↹⩛-25013","layer":1},{"info":"↹⩛25103430⨵⪆↹⩛-25013=↹⩛424","layer":0}]} +{"id":676,"expression_no_base_symbol":"($3219$⪛$3215$⫦⪉($4975$≫≃)⨸⪁($3659$⨘⋶⪀)⫯⪬∳(⇁⨣⪵$1945$))↯⫤","expression":"(↹⩛22523⪛↹⩛22515⫦⪉(↹⩛35011≫≃)⨸⪁(↹⩛24535⨘⋶⪀)⫯⪬∳(⇁⨣⪵↹⩛13001))↯⫤","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":145,"operation_count":8,"complexity_ratio":18.125,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3219,"base":6},"right_expr":{"type":"numeric_atoms","value":3215,"base":6}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4975,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3659,"base":6}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1945,"base":6}}}}},"used_operators":["VwlE7vj6HS","g55IO6H4Gj","wscyQdcy20","uFcxV4UQCh","X99M06cbEe","d7ASUq0ydm","XVKwrhznBb","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3219","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=3215, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4","layer":3},{"info":"number node, value=4975","layer":4},{"info":"compute unary expreesion, input=4975, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11351","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=11351, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4892","layer":2},{"info":"number node, value=3659","layer":4},{"info":"compute unary expreesion, input=3659, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4892, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22523⪛↹⩛22515⫦⪉(↹⩛35011≫≃)⨸⪁(↹⩛24535⨘⋶⪀)⫯⪬∳(⇁⨣⪵↹⩛13001))↯⫤=NaN","reverse_text":"NaN=(↹⩛22523⪛↹⩛22515⫦⪉(↹⩛35011≫≃)⨸⪁(↹⩛24535⨘⋶⪀)⫯⪬∳(⇁⨣⪵↹⩛13001))↯⫤","cot":[{"info":"↹⩛22523⪛↹⩛22515=↹⩛4","layer":3},{"info":"↹⩛35011≫≃=↹⩛124315","layer":3},{"info":"↹⩛4⫦⪉↹⩛124315=↹⩛34352","layer":2},{"info":"↹⩛24535⨘⋶⪀=NaN","layer":3},{"info":"⇁⨣⪵↹⩛13001=NaN","layer":3},{"info":"NaN⫯⪬∳NaN=NaN","layer":2},{"info":"↹⩛34352⨸⪁NaN=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]} +{"id":677,"expression_no_base_symbol":"((⪁⇼$5426$)⪛($3073$∟))↤⩊((⨮↦↱$1090$)≒∊(≇⪴$3194$))≒∊(≛($2074$⩖⊿$2127$)⪟⇏$2447$↞⋁$1140$)","expression":"((⪁⇼↹⩛41042)⪛(↹⩛22121∟))↤⩊((⨮↦↱↹⩛5014)≒∊(≇⪴↹⩛22442))≒∊(≛(↹⩛13334⩖⊿↹⩛13503)⪟⇏↹⩛15155↞⋁↹⩛5140)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1180,"operation_count":12,"complexity_ratio":98.33333333333333,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5426,"base":6}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":3073,"base":6}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1090,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3194,"base":6}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2074,"base":6},"right_expr":{"type":"numeric_atoms","value":2127,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2447,"base":6},"right_expr":{"type":"numeric_atoms","value":1140,"base":6}}}}},"used_operators":["5KTvxBwnZo","13rbtpv6ld","uFcxV4UQCh","ZNVVrZ94lY","hTbEZDJLEm","sYcpBQ0cFf","zoVPnxeHJ3","W7eaUhjymW","GODebY97qR","RZ5CV9rWsJ","RqrPlJkxDo"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5426","layer":4},{"info":"compute unary expreesion, input=5426, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=3073","layer":4},{"info":"compute unary expreesion, input=3073, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=113, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=83","layer":2},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1056402","layer":3},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-8242","layer":3},{"info":"compute binary expreesion, left_input=-1056402, right_input=-8242, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=1056886","layer":2},{"info":"compute binary expreesion, left_input=83, right_input=1056886, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=2074","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=2127, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8638","layer":3},{"info":"number node, value=2447","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=1140, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8638, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = 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=-231","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-231, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⪁⇼↹⩛41042)⪛(↹⩛22121∟))↤⩊((⨮↦↱↹⩛5014)≒∊(≇⪴↹⩛22442))≒∊(≛(↹⩛13334⩖⊿↹⩛13503)⪟⇏↹⩛15155↞⋁↹⩛5140)=NaN","reverse_text":"NaN=((⪁⇼↹⩛41042)⪛(↹⩛22121∟))↤⩊((⨮↦↱↹⩛5014)≒∊(≇⪴↹⩛22442))≒∊(≛(↹⩛13334⩖⊿↹⩛13503)⪟⇏↹⩛15155↞⋁↹⩛5140)","cot":[{"info":"⪁⇼↹⩛41042=↹⩛1542","layer":3},{"info":"↹⩛22121∟=↹⩛305","layer":3},{"info":"↹⩛1542⪛↹⩛305=↹⩛215","layer":2},{"info":"⨮↦↱↹⩛5014=↹⩛-34350430","layer":3},{"info":"≇⪴↹⩛22442=↹⩛-102054","layer":3},{"info":"↹⩛-34350430≒∊↹⩛-102054=↹⩛34352554","layer":2},{"info":"↹⩛215↤⩊↹⩛34352554=NaN","layer":1},{"info":"↹⩛13334⩖⊿↹⩛13503=↹⩛103554","layer":3},{"info":"↹⩛15155↞⋁↹⩛5140=NaN","layer":3},{"info":"↹⩛103554⪟⇏NaN=↹⩛-1","layer":2},{"info":"≛↹⩛-1=↹⩛-1023","layer":1},{"info":"NaN≒∊↹⩛-1023=NaN","layer":0}]} +{"id":678,"expression_no_base_symbol":"(($2306$∖$7886$)≴⪞⇿(⊁⨺$8527$)⩣⫁∢(($7492$⩘⨬⇊)⇣⩺⋵($1471$⇄$2245$)))≝⊿(($1099$⨚$1438$)⪝($1834$⊹≧⊝)⩷∴($1742$⪢$2149$)⫗⊷⫓(↯⪼$8586$))","expression":"((↹⩛14402∖↹⩛100302)≴⪞⇿(⊁⨺↹⩛103251)⩣⫁∢((↹⩛54404⩘⨬⇊)⇣⩺⋵(↹⩛10451⇄↹⩛14221)))≝⊿((↹⩛5031⨚↹⩛10354)⪝(↹⩛12254⊹≧⊝)⩷∴(↹⩛12022⪢↹⩛13541)⫗⊷⫓(↯⪼↹⩛103430))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":96510,"operation_count":15,"complexity_ratio":6434.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2306,"base":6},"right_expr":{"type":"numeric_atoms","value":7886,"base":6}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":8527,"base":6}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":7492,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1471,"base":6},"right_expr":{"type":"numeric_atoms","value":2245,"base":6}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1099,"base":6},"right_expr":{"type":"numeric_atoms","value":1438,"base":6}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1834,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1742,"base":6},"right_expr":{"type":"numeric_atoms","value":2149,"base":6}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8586,"base":6}}}}},"used_operators":["OKKcZfAt5B","JDUIKTTSIa","lvlrscuwVU","tXD093vOjl","PxiHyQbrIp","F4yD0voBRQ","XXmTpEpWTW","3EYGwJThht","9FxExcQeMw","wicAB68Tmb","nREPSIbpBE","LxFB4K6j0n","zashukvMKz","dWAJyo7jo9","8jW3W4yZS5"],"dependent_operators":["12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"↹⩛1122042","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2306","layer":4},{"info":"number node, value=7886","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=7886, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=8527","layer":4},{"info":"compute unary expreesion, input=8527, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4500","layer":2},{"info":"number node, value=7492","layer":4},{"info":"compute unary expreesion, input=7492, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=2245, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-4500, right_input=-260, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=18565","layer":1},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1438, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2620","layer":3},{"info":"number node, value=1834","layer":4},{"info":"compute unary expreesion, input=1834, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-7336","layer":3},{"info":"compute binary expreesion, left_input=-2620, right_input=-7336, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-19263","layer":2},{"info":"number node, value=1742","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=2149, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=8586","layer":4},{"info":"compute unary expreesion, input=8586, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, 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":2},{"info":"compute binary expreesion, left_input=-19263, right_input=-134, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-38290","layer":1},{"info":"compute binary expreesion, left_input=18565, right_input=-38290, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=57482","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14402∖↹⩛100302)≴⪞⇿(⊁⨺↹⩛103251)⩣⫁∢((↹⩛54404⩘⨬⇊)⇣⩺⋵(↹⩛10451⇄↹⩛14221)))≝⊿((↹⩛5031⨚↹⩛10354)⪝(↹⩛12254⊹≧⊝)⩷∴(↹⩛12022⪢↹⩛13541)⫗⊷⫓(↯⪼↹⩛103430))=↹⩛1122042","reverse_text":"↹⩛1122042=((↹⩛14402∖↹⩛100302)≴⪞⇿(⊁⨺↹⩛103251)⩣⫁∢((↹⩛54404⩘⨬⇊)⇣⩺⋵(↹⩛10451⇄↹⩛14221)))≝⊿((↹⩛5031⨚↹⩛10354)⪝(↹⩛12254⊹≧⊝)⩷∴(↹⩛12022⪢↹⩛13541)⫗⊷⫓(↯⪼↹⩛103430))","cot":[{"info":"↹⩛14402∖↹⩛100302=↹⩛0","layer":3},{"info":"⊁⨺↹⩛103251=↹⩛424","layer":3},{"info":"↹⩛0≴⪞⇿↹⩛424=↹⩛-32500","layer":2},{"info":"↹⩛54404⩘⨬⇊=NaN","layer":3},{"info":"↹⩛10451⇄↹⩛14221=↹⩛0","layer":3},{"info":"NaN⇣⩺⋵↹⩛0=↹⩛-1112","layer":2},{"info":"↹⩛-32500⩣⫁∢↹⩛-1112=↹⩛221541","layer":1},{"info":"↹⩛5031⨚↹⩛10354=↹⩛-20044","layer":3},{"info":"↹⩛12254⊹≧⊝=↹⩛-53544","layer":3},{"info":"↹⩛-20044⪝↹⩛-53544=↹⩛-225103","layer":2},{"info":"↹⩛12022⪢↹⩛13541=NaN","layer":3},{"info":"↯⪼↹⩛103430=↹⩛-33","layer":3},{"info":"NaN⫗⊷⫓↹⩛-33=↹⩛-342","layer":2},{"info":"↹⩛-225103⩷∴↹⩛-342=↹⩛-453134","layer":1},{"info":"↹⩛221541≝⊿↹⩛-453134=↹⩛1122042","layer":0}]} +{"id":679,"expression_no_base_symbol":"↽≂($3682$∇⊂⋱$1281$)≁(↞≼$5432$)⪔($7228$≠≀$2423$)↳≱($3135$∣$7901$)","expression":"↽≂(↹⩛25014∇⊂⋱↹⩛5533)≁(↞≼↹⩛41052)⪔(↹⩛53244≠≀↹⩛15115)↳≱(↹⩛22303∣↹⩛100325)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":300,"operation_count":8,"complexity_ratio":37.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3682,"base":6},"right_expr":{"type":"numeric_atoms","value":1281,"base":6}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":5432,"base":6}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":7228,"base":6},"right_expr":{"type":"numeric_atoms","value":2423,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3135,"base":6},"right_expr":{"type":"numeric_atoms","value":7901,"base":6}}}}},"used_operators":["u6S6b8DprG","GjBEYRfMaF","8N2wDY1A35","nhYeJWJD5X","DE7zCoGJt9","JwTKLfZU96","IwW236VD4Y","PPChnnnBFF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛142332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3682","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=1281, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6818","layer":3},{"info":"number node, value=5432","layer":4},{"info":"compute unary expreesion, input=5432, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=43042","layer":3},{"info":"compute binary expreesion, left_input=6818, right_input=43042, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=1019807","layer":2},{"info":"number node, value=7228","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=7228, right_input=2423, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-14150","layer":3},{"info":"number node, value=3135","layer":4},{"info":"number node, value=7901","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=7901, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3135","layer":3},{"info":"compute binary expreesion, left_input=-14150, right_input=3135, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1019807, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":1},{"info":"compute unary expreesion, input=-6760, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=13520","layer":0}],"base":6,"result_base":6,"text":"↽≂(↹⩛25014∇⊂⋱↹⩛5533)≁(↞≼↹⩛41052)⪔(↹⩛53244≠≀↹⩛15115)↳≱(↹⩛22303∣↹⩛100325)=↹⩛142332","reverse_text":"↹⩛142332=↽≂(↹⩛25014∇⊂⋱↹⩛5533)≁(↞≼↹⩛41052)⪔(↹⩛53244≠≀↹⩛15115)↳≱(↹⩛22303∣↹⩛100325)","cot":[{"info":"↹⩛25014∇⊂⋱↹⩛5533=↹⩛51322","layer":3},{"info":"↞≼↹⩛41052=↹⩛531134","layer":3},{"info":"↹⩛51322≁↹⩛531134=↹⩛33505155","layer":2},{"info":"↹⩛53244≠≀↹⩛15115=↹⩛-145302","layer":3},{"info":"↹⩛22303∣↹⩛100325=↹⩛22303","layer":3},{"info":"↹⩛-145302↳≱↹⩛22303=↹⩛0","layer":2},{"info":"↹⩛33505155⪔↹⩛0=↹⩛-51144","layer":1},{"info":"↽≂↹⩛-51144=↹⩛142332","layer":0}]} +{"id":680,"expression_no_base_symbol":"((($1477$⋝⋈⪟$1007$)⩱)⩼⇪↪($1177$⫥∨⫟$1737$)≁↽≥(↸⊣$6495$))⫞⩸⩒(($2876$⋓$3377$∕⩚($7487$⩏))⪚(↥$3371$⨐⩸⫘$1762$))","expression":"(((↹⩛10501⋝⋈⪟↹⩛4355)⩱)⩼⇪↪(↹⩛5241⫥∨⫟↹⩛12013)≁↽≥(↸⊣↹⩛50023))⫞⩸⩒((↹⩛21152⋓↹⩛23345∕⩚(↹⩛54355⩏))⪚(↥↹⩛23335⨐⩸⫘↹⩛12054))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7037,"operation_count":13,"complexity_ratio":541.3076923076923,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1477,"base":6},"right_expr":{"type":"numeric_atoms","value":1007,"base":6}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1177,"base":6},"right_expr":{"type":"numeric_atoms","value":1737,"base":6}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":6495,"base":6}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2876,"base":6},"right_expr":{"type":"numeric_atoms","value":3377,"base":6}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":7487,"base":6}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3371,"base":6},"right_expr":{"type":"numeric_atoms","value":1762,"base":6}}}}},"used_operators":["XGcMNugi78","ocnLzx9CaJ","uyq1hVkAcj","2DDjHMKMc0","ncHt1X6cMc","KYD54nUTWz","wztAlM01eG","HrjLwUk87U","z9ffQ9n5Zr","T2fj7uvVaJ","iA2gmKZ3Wj","A8NUZmVepG","fu6greOZ01"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","8HhzD0ZcuI","rGHVDoGpnC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","z6LnFrNh4i","Tcnh7f0tEr","k8jYdgA6NY","3ViojmjbAp"],"result":"↹⩛-234203","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1007, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1477","layer":3},{"info":"compute unary expreesion, input=1477, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-9112","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1737, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6495","layer":4},{"info":"compute unary expreesion, input=6495, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-6208","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6208, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-9112, right_input=196, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20379","layer":1},{"info":"number node, value=2876","layer":4},{"info":"number node, value=3377","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=3377, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=7487","layer":4},{"info":"compute unary expreesion, input=7487, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=3371","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=3371, right_input=1762, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=98","layer":1},{"info":"compute binary expreesion, left_input=-20379, right_input=98, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-20379","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛10501⋝⋈⪟↹⩛4355)⩱)⩼⇪↪(↹⩛5241⫥∨⫟↹⩛12013)≁↽≥(↸⊣↹⩛50023))⫞⩸⩒((↹⩛21152⋓↹⩛23345∕⩚(↹⩛54355⩏))⪚(↥↹⩛23335⨐⩸⫘↹⩛12054))=↹⩛-234203","reverse_text":"↹⩛-234203=(((↹⩛10501⋝⋈⪟↹⩛4355)⩱)⩼⇪↪(↹⩛5241⫥∨⫟↹⩛12013)≁↽≥(↸⊣↹⩛50023))⫞⩸⩒((↹⩛21152⋓↹⩛23345∕⩚(↹⩛54355⩏))⪚(↥↹⩛23335⨐⩸⫘↹⩛12054))","cot":[{"info":"↹⩛10501⋝⋈⪟↹⩛4355=↹⩛10501","layer":3},{"info":"↹⩛10501⩱=↹⩛-110104","layer":2},{"info":"↹⩛5241⫥∨⫟↹⩛12013=NaN","layer":3},{"info":"↸⊣↹⩛50023=↹⩛-44424","layer":3},{"info":"NaN≁↽≥↹⩛-44424=↹⩛524","layer":2},{"info":"↹⩛-110104⩼⇪↪↹⩛524=↹⩛-234203","layer":1},{"info":"↹⩛21152⋓↹⩛23345=↹⩛0","layer":3},{"info":"↹⩛54355⩏=↹⩛0","layer":3},{"info":"↹⩛0∕⩚↹⩛0=↹⩛-2131","layer":2},{"info":"↹⩛23335⨐⩸⫘↹⩛12054=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"↹⩛-2131⪚NaN=↹⩛242","layer":1},{"info":"↹⩛-234203⫞⩸⩒↹⩛242=↹⩛-234203","layer":0}]} +{"id":681,"expression_no_base_symbol":"(($2217$⪪$1323$∠↢(⩒∊$3371$))⪶≀⋏(($1203$⩒⫫$2793$)∑⇟⊟($4486$⇄$1101$)))≠≀(($2885$⨚⇆$1176$⊪)⇚⪠)","expression":"((↹⩛14133⪪↹⩛10043∠↢(⩒∊↹⩛23335))⪶≀⋏((↹⩛5323⩒⫫↹⩛20533)∑⇟⊟(↹⩛32434⇄↹⩛5033)))≠≀((↹⩛21205⨚⇆↹⩛5240⊪)⇚⪠)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27119,"operation_count":11,"complexity_ratio":2465.3636363636365,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2217,"base":6},"right_expr":{"type":"numeric_atoms","value":1323,"base":6}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3371,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1203,"base":6},"right_expr":{"type":"numeric_atoms","value":2793,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4486,"base":6},"right_expr":{"type":"numeric_atoms","value":1101,"base":6}}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2885,"base":6},"right_expr":{"type":"numeric_atoms","value":1176,"base":6}}}}},"used_operators":["IwW236VD4Y","zR4jO40bMj","KbjG8mgYpV","xD69zh8xqp","qazvmhNBbN","U7g4x0WXJJ","KFSx94NKJn","3EYGwJThht","Loh9y4A90B","zVYPLywUTj","lwHaAYXP2r"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"↹⩛423352330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=1323, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-330856","layer":3},{"info":"number node, value=3371","layer":4},{"info":"compute unary expreesion, input=3371, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5985","layer":3},{"info":"compute binary expreesion, left_input=-330856, right_input=5985, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=1240716","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=2793, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=901","layer":3},{"info":"number node, value=4486","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=4486, right_input=1101, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=901, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=901","layer":2},{"info":"compute binary expreesion, left_input=1240716, right_input=901, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-3724182","layer":1},{"info":"number node, value=2885","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=1176, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3724182, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=7448670","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14133⪪↹⩛10043∠↢(⩒∊↹⩛23335))⪶≀⋏((↹⩛5323⩒⫫↹⩛20533)∑⇟⊟(↹⩛32434⇄↹⩛5033)))≠≀((↹⩛21205⨚⇆↹⩛5240⊪)⇚⪠)=↹⩛423352330","reverse_text":"↹⩛423352330=((↹⩛14133⪪↹⩛10043∠↢(⩒∊↹⩛23335))⪶≀⋏((↹⩛5323⩒⫫↹⩛20533)∑⇟⊟(↹⩛32434⇄↹⩛5033)))≠≀((↹⩛21205⨚⇆↹⩛5240⊪)⇚⪠)","cot":[{"info":"↹⩛14133⪪↹⩛10043=↹⩛-11031424","layer":3},{"info":"⩒∊↹⩛23335=↹⩛43413","layer":3},{"info":"↹⩛-11031424∠↢↹⩛43413=↹⩛42332020","layer":2},{"info":"↹⩛5323⩒⫫↹⩛20533=↹⩛4101","layer":3},{"info":"↹⩛32434⇄↹⩛5033=↹⩛0","layer":3},{"info":"↹⩛4101∑⇟⊟↹⩛0=↹⩛4101","layer":2},{"info":"↹⩛42332020⪶≀⋏↹⩛4101=↹⩛-211453330","layer":1},{"info":"↹⩛21205⨚⇆↹⩛5240=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"NaN⇚⪠=NaN","layer":1},{"info":"↹⩛-211453330≠≀NaN=↹⩛423352330","layer":0}]} +{"id":682,"expression_no_base_symbol":"($7420$⨟⋌⩍$5459$⇼⇔∾$3036$⪉⨛$1397$)⩼⇪↪(($2348$≬⋮$7352$)∑⇟⊟$1754$≁$2578$)⨽(↘($1283$∪⫐$6657$))↬($6851$⨻⩈⩔$2382$⪎⩰)","expression":"(↹⩛54204⨟⋌⩍↹⩛41135⇼⇔∾↹⩛22020⪉⨛↹⩛10245)⩼⇪↪((↹⩛14512≬⋮↹⩛54012)∑⇟⊟↹⩛12042≁↹⩛15534)⨽(↘(↹⩛5535∪⫐↹⩛50453))↬(↹⩛51415⨻⩈⩔↹⩛15010⪎⩰)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":256,"operation_count":13,"complexity_ratio":19.692307692307693,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7420,"base":6},"right_expr":{"type":"numeric_atoms","value":5459,"base":6}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3036,"base":6},"right_expr":{"type":"numeric_atoms","value":1397,"base":6}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2348,"base":6},"right_expr":{"type":"numeric_atoms","value":7352,"base":6}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1754,"base":6},"right_expr":{"type":"numeric_atoms","value":2578,"base":6}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1283,"base":6},"right_expr":{"type":"numeric_atoms","value":6657,"base":6}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6851,"base":6},"right_expr":{"type":"numeric_atoms","value":2382,"base":6}}}}},"used_operators":["8HhzD0ZcuI","ocnLzx9CaJ","tifHPKVTfV","rGHVDoGpnC","EWw2JM7wp4","U7g4x0WXJJ","kbkesczE7y","8N2wDY1A35","B5M0gjZbta","LdNpr8hQHL","7YooWSwCyH","2ufhKmSs5H","nEsXyWgiOK"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rGHVDoGpnC","uFcxV4UQCh","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7420","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=7420, right_input=5459, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3036","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=1397, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7926","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7926, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2348","layer":4},{"info":"number node, value=7352","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=7352, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1754","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=2578, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=48671","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=48671, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=1283","layer":4},{"info":"number node, value=6657","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=6657, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1283","layer":3},{"info":"compute unary expreesion, input=1283, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=107","layer":2},{"info":"number node, value=6851","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=6851, right_input=2382, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=46407","layer":3},{"info":"compute unary expreesion, input=46407, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=-34, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛54204⨟⋌⩍↹⩛41135⇼⇔∾↹⩛22020⪉⨛↹⩛10245)⩼⇪↪((↹⩛14512≬⋮↹⩛54012)∑⇟⊟↹⩛12042≁↹⩛15534)⨽(↘(↹⩛5535∪⫐↹⩛50453))↬(↹⩛51415⨻⩈⩔↹⩛15010⪎⩰)=NaN","reverse_text":"NaN=(↹⩛54204⨟⋌⩍↹⩛41135⇼⇔∾↹⩛22020⪉⨛↹⩛10245)⩼⇪↪((↹⩛14512≬⋮↹⩛54012)∑⇟⊟↹⩛12042≁↹⩛15534)⨽(↘(↹⩛5535∪⫐↹⩛50453))↬(↹⩛51415⨻⩈⩔↹⩛15010⪎⩰)","cot":[{"info":"↹⩛54204⨟⋌⩍↹⩛41135=NaN","layer":3},{"info":"↹⩛22020⪉⨛↹⩛10245=↹⩛100410","layer":3},{"info":"NaN⇼⇔∾↹⩛100410=NaN","layer":2},{"info":"↹⩛14512≬⋮↹⩛54012=↹⩛4004","layer":3},{"info":"↹⩛12042≁↹⩛15534=↹⩛1013155","layer":3},{"info":"↹⩛4004∑⇟⊟↹⩛1013155=NaN","layer":2},{"info":"NaN⩼⇪↪NaN=NaN","layer":1},{"info":"↹⩛5535∪⫐↹⩛50453=↹⩛5535","layer":3},{"info":"↘↹⩛5535=↹⩛255","layer":2},{"info":"↹⩛51415⨻⩈⩔↹⩛15010=↹⩛554503","layer":3},{"info":"↹⩛554503⪎⩰=↹⩛-54","layer":2},{"info":"↹⩛255↬↹⩛-54=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]} +{"id":683,"expression_no_base_symbol":"⨵≀≌(($1060$∼$2471$⇀∌)⇼⇔∾($7464$∖$5984$)∙⊟$1623$⇴$3712$)","expression":"⨵≀≌((↹⩛4524∼↹⩛15235⇀∌)⇼⇔∾(↹⩛54320∖↹⩛43412)∙⊟↹⩛11303⇴↹⩛25104)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":808,"operation_count":7,"complexity_ratio":115.42857142857143,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1060,"base":6},"right_expr":{"type":"numeric_atoms","value":2471,"base":6}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":7464,"base":6},"right_expr":{"type":"numeric_atoms","value":5984,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1623,"base":6},"right_expr":{"type":"numeric_atoms","value":3712,"base":6}}}}},"used_operators":["srAu1WTS94","tifHPKVTfV","2k53nXOpI5","DyGG3AbaNP","SxTAKzQCrw","tXD093vOjl","4JB6nKBMSY"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1060","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=2471, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"number node, value=7464","layer":4},{"info":"number node, value=5984","layer":4},{"info":"compute binary expreesion, left_input=7464, right_input=5984, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1623","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=3712, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16776","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16776, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22285, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":6,"result_base":6,"text":"⨵≀≌((↹⩛4524∼↹⩛15235⇀∌)⇼⇔∾(↹⩛54320∖↹⩛43412)∙⊟↹⩛11303⇴↹⩛25104)=NaN","reverse_text":"NaN=⨵≀≌((↹⩛4524∼↹⩛15235⇀∌)⇼⇔∾(↹⩛54320∖↹⩛43412)∙⊟↹⩛11303⇴↹⩛25104)","cot":[{"info":"↹⩛4524∼↹⩛15235=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"↹⩛54320∖↹⩛43412=↹⩛0","layer":3},{"info":"↹⩛11303⇴↹⩛25104=↹⩛205400","layer":3},{"info":"↹⩛0∙⊟↹⩛205400=↹⩛251101","layer":2},{"info":"NaN⇼⇔∾↹⩛251101=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]} +{"id":684,"expression_no_base_symbol":"((⊵⊁($3089$⇴$2072$))⩚⊴⇥(↑$3773$⋕⪉⪜$2468$))≁↽≥($4552$⪬$6506$⨟⋌⩍(≸≮$7899$)⊋≦⊧(($3573$⫏⊷)↱$1230$∌↝$3758$))","expression":"((⊵⊁(↹⩛22145⇴↹⩛13332))⩚⊴⇥(↑↹⩛25245⋕⪉⪜↹⩛15232))≁↽≥(↹⩛33024⪬↹⩛50042⨟⋌⩍(≸≮↹⩛100323)⊋≦⊧((↹⩛24313⫏⊷)↱↹⩛5410∌↝↹⩛25222))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":24642,"operation_count":13,"complexity_ratio":1895.5384615384614,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3089,"base":6},"right_expr":{"type":"numeric_atoms","value":2072,"base":6}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3773,"base":6},"right_expr":{"type":"numeric_atoms","value":2468,"base":6}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4552,"base":6},"right_expr":{"type":"numeric_atoms","value":6506,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":7899,"base":6}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":3573,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":3758,"base":6}}}}},"used_operators":["ncHt1X6cMc","NTOWxs364D","AvED76WdY7","4JB6nKBMSY","tR7O2zTn5j","z6LnFrNh4i","oRDoc9rAEX","rGHVDoGpnC","Ez1Nq5fNfI","AljMvE3RRm","SR5kFfdi6N","dcShxvzhyw","9Isq31Ruls"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","uBihLCJcMX","k8jYdgA6NY","sdazOOVcIp","NTOWxs364D","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Tcnh7f0tEr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3089","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=2072, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22292","layer":3},{"info":"compute unary expreesion, input=22292, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=132682","layer":2},{"info":"number node, value=3773","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=2468, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=132682, right_input=192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-132995","layer":1},{"info":"number node, value=4552","layer":4},{"info":"number node, value=6506","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=6506, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=7899","layer":4},{"info":"compute unary expreesion, input=7899, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3573","layer":4},{"info":"compute unary expreesion, input=3573, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=3758, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=0, 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=15670","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15670, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-132995, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⊵⊁(↹⩛22145⇴↹⩛13332))⩚⊴⇥(↑↹⩛25245⋕⪉⪜↹⩛15232))≁↽≥(↹⩛33024⪬↹⩛50042⨟⋌⩍(≸≮↹⩛100323)⊋≦⊧((↹⩛24313⫏⊷)↱↹⩛5410∌↝↹⩛25222))=NaN","reverse_text":"NaN=((⊵⊁(↹⩛22145⇴↹⩛13332))⩚⊴⇥(↑↹⩛25245⋕⪉⪜↹⩛15232))≁↽≥(↹⩛33024⪬↹⩛50042⨟⋌⩍(≸≮↹⩛100323)⊋≦⊧((↹⩛24313⫏⊷)↱↹⩛5410∌↝↹⩛25222))","cot":[{"info":"↹⩛22145⇴↹⩛13332=↹⩛251112","layer":3},{"info":"⊵⊁↹⩛251112=↹⩛2502134","layer":2},{"info":"↹⩛25245⋕⪉⪜↹⩛15232=↹⩛20550","layer":3},{"info":"↑↹⩛20550=↹⩛520","layer":2},{"info":"↹⩛2502134⩚⊴⇥↹⩛520=↹⩛-2503415","layer":1},{"info":"↹⩛33024⪬↹⩛50042=↹⩛5414","layer":3},{"info":"≸≮↹⩛100323=NaN","layer":3},{"info":"↹⩛5414⨟⋌⩍NaN=NaN","layer":2},{"info":"↹⩛24313⫏⊷=↹⩛-3444","layer":3},{"info":"↹⩛5410∌↝↹⩛25222=↹⩛0","layer":3},{"info":"↹⩛-3444↱↹⩛0=↹⩛200314","layer":2},{"info":"NaN⊋≦⊧↹⩛200314=NaN","layer":1},{"info":"↹⩛-2503415≁↽≥NaN=NaN","layer":0}]} +{"id":685,"expression_no_base_symbol":"($2074$≎⪠$3429$⫢⨠(⫎≠⋺$1516$)≓∲(⪡⇡≛$1018$)∠↢$2642$≳⇉$5606$)⫞⩸⩒(⩪∧⨌($6493$∥⊢⊲$3736$⫡⨏$1086$⇮⋭$1010$))","expression":"(↹⩛13334≎⪠↹⩛23513⫢⨠(⫎≠⋺↹⩛11004)≓∲(⪡⇡≛↹⩛4414)∠↢↹⩛20122≳⇉↹⩛41542)⫞⩸⩒(⩪∧⨌(↹⩛50021∥⊢⊲↹⩛25144⫡⨏↹⩛5010⇮⋭↹⩛4402))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":357808792,"operation_count":12,"complexity_ratio":29817399.333333332,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2074,"base":6},"right_expr":{"type":"numeric_atoms","value":3429,"base":6}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1516,"base":6}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1018,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2642,"base":6},"right_expr":{"type":"numeric_atoms","value":5606,"base":6}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":6493,"base":6},"right_expr":{"type":"numeric_atoms","value":3736,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1086,"base":6},"right_expr":{"type":"numeric_atoms","value":1010,"base":6}}}}},"used_operators":["XGcMNugi78","s1XTVnmDOJ","xlXykHWxX1","aNhz54LH3e","LYeZOJ0nQG","KbjG8mgYpV","qL4PrbW1Dq","V0kx6qeWkN","6iOiAJX1F8","QMFrweE19q","v1UQAVDJRr","vkpjKywKVM"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2074","layer":4},{"info":"number node, value=3429","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=3429, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1516","layer":4},{"info":"compute unary expreesion, input=1516, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1018","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=5606, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1018, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"number node, value=6493","layer":4},{"info":"number node, value=3736","layer":4},{"info":"compute binary expreesion, left_input=6493, right_input=3736, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1010, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13334≎⪠↹⩛23513⫢⨠(⫎≠⋺↹⩛11004)≓∲(⪡⇡≛↹⩛4414)∠↢↹⩛20122≳⇉↹⩛41542)⫞⩸⩒(⩪∧⨌(↹⩛50021∥⊢⊲↹⩛25144⫡⨏↹⩛5010⇮⋭↹⩛4402))=NaN","reverse_text":"NaN=(↹⩛13334≎⪠↹⩛23513⫢⨠(⫎≠⋺↹⩛11004)≓∲(⪡⇡≛↹⩛4414)∠↢↹⩛20122≳⇉↹⩛41542)⫞⩸⩒(⩪∧⨌(↹⩛50021∥⊢⊲↹⩛25144⫡⨏↹⩛5010⇮⋭↹⩛4402))","cot":[{"info":"↹⩛13334≎⪠↹⩛23513=↹⩛230314","layer":3},{"info":"⫎≠⋺↹⩛11004=↹⩛0","layer":3},{"info":"↹⩛230314⫢⨠↹⩛0=NaN","layer":2},{"info":"⪡⇡≛↹⩛4414=↹⩛-4414","layer":3},{"info":"↹⩛20122≳⇉↹⩛41542=NaN","layer":3},{"info":"↹⩛-4414∠↢NaN=NaN","layer":2},{"info":"NaN≓∲NaN=NaN","layer":1},{"info":"↹⩛50021∥⊢⊲↹⩛25144=NaN","layer":3},{"info":"↹⩛5010⇮⋭↹⩛4402=↹⩛-2105","layer":3},{"info":"NaN⫡⨏↹⩛-2105=NaN","layer":2},{"info":"⩪∧⨌NaN=NaN","layer":1},{"info":"NaN⫞⩸⩒NaN=NaN","layer":0}]} +{"id":686,"expression_no_base_symbol":"(⨛(⊄⩳↩$2712$)⨓($1917$≬⇓$1221$))∝(⨭⩧⫛((↞≼$1348$)↢($5583$∣$3649$)))","expression":"(⨛(⊄⩳↩↹⩛20320)⨓(↹⩛12513≬⇓↹⩛5353))∝(⨭⩧⫛((↞≼↹⩛10124)↢(↹⩛41503∣↹⩛24521)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":309,"operation_count":9,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2712,"base":6}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1917,"base":6},"right_expr":{"type":"numeric_atoms","value":1221,"base":6}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1348,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5583,"base":6},"right_expr":{"type":"numeric_atoms","value":3649,"base":6}}}}},"used_operators":["cTDWOvIxvz","CoMdbyAt7R","3ViojmjbAp","8w2t5hMYqp","jWTQ2TZYIH","g21JL6JxX7","WR6HLWljOP","DE7zCoGJt9","PPChnnnBFF"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2712","layer":4},{"info":"compute unary expreesion, input=2712, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8136","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1221, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-8136, right_input=-22, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=19","layer":2},{"info":"compute unary expreesion, input=19, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10370","layer":3},{"info":"number node, value=5583","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=5583, right_input=3649, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5583","layer":3},{"info":"compute binary expreesion, left_input=10370, right_input=5583, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=9886","layer":2},{"info":"compute unary expreesion, input=9886, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨛(⊄⩳↩↹⩛20320)⨓(↹⩛12513≬⇓↹⩛5353))∝(⨭⩧⫛((↞≼↹⩛10124)↢(↹⩛41503∣↹⩛24521)))=NaN","reverse_text":"NaN=(⨛(⊄⩳↩↹⩛20320)⨓(↹⩛12513≬⇓↹⩛5353))∝(⨭⩧⫛((↞≼↹⩛10124)↢(↹⩛41503∣↹⩛24521)))","cot":[{"info":"⊄⩳↩↹⩛20320=↹⩛-101400","layer":3},{"info":"↹⩛12513≬⇓↹⩛5353=↹⩛-34","layer":3},{"info":"↹⩛-101400⨓↹⩛-34=↹⩛31","layer":2},{"info":"⨛↹⩛31=NaN","layer":1},{"info":"↞≼↹⩛10124=↹⩛120002","layer":3},{"info":"↹⩛41503∣↹⩛24521=↹⩛41503","layer":3},{"info":"↹⩛120002↢↹⩛41503=↹⩛113434","layer":2},{"info":"⨭⩧⫛↹⩛113434=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]} +{"id":687,"expression_no_base_symbol":"((↽≂$6850$)⫁⪎($4035$⨸⪁$1608$))⪎↠($7649$⫃⨇$3138$⫳≱↱(⋂$1769$))⪒(⨈⫕(↡($4663$⊭↱$3100$)))","expression":"((↽≂↹⩛51414)⫁⪎(↹⩛30403⨸⪁↹⩛11240))⪎↠(↹⩛55225⫃⨇↹⩛22310⫳≱↱(⋂↹⩛12105))⪒(⨈⫕(↡(↹⩛33331⊭↱↹⩛22204)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":511,"operation_count":11,"complexity_ratio":46.45454545454545,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6850,"base":6}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4035,"base":6},"right_expr":{"type":"numeric_atoms","value":1608,"base":6}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7649,"base":6},"right_expr":{"type":"numeric_atoms","value":3138,"base":6}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1769,"base":6}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4663,"base":6},"right_expr":{"type":"numeric_atoms","value":3100,"base":6}}}}},"used_operators":["f6k1SAg4EE","3tVxb0NHM4","xRrnTEsQ6j","u6S6b8DprG","g55IO6H4Gj","ZvLB05nZmT","09Ly4LVMIf","BUOGQAYlQx","megm06wKyl","MXaNJeIAZ3","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛204","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6850","layer":4},{"info":"compute unary expreesion, input=6850, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13700","layer":3},{"info":"number node, value=4035","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=1608, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11286","layer":3},{"info":"compute binary expreesion, left_input=-13700, right_input=11286, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-24986","layer":2},{"info":"number node, value=7649","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=7649, right_input=3138, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-12584","layer":3},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-24170","layer":3},{"info":"compute binary expreesion, left_input=-12584, right_input=-24170, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=-24986, right_input=-2802, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"number node, value=4663","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=4663, right_input=3100, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3121","layer":3},{"info":"compute unary expreesion, input=-3121, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-28089","layer":2},{"info":"compute unary expreesion, input=-28089, 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":"compute binary expreesion, left_input=-55, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=76","layer":0}],"base":6,"result_base":6,"text":"((↽≂↹⩛51414)⫁⪎(↹⩛30403⨸⪁↹⩛11240))⪎↠(↹⩛55225⫃⨇↹⩛22310⫳≱↱(⋂↹⩛12105))⪒(⨈⫕(↡(↹⩛33331⊭↱↹⩛22204)))=↹⩛204","reverse_text":"↹⩛204=((↽≂↹⩛51414)⫁⪎(↹⩛30403⨸⪁↹⩛11240))⪎↠(↹⩛55225⫃⨇↹⩛22310⫳≱↱(⋂↹⩛12105))⪒(⨈⫕(↡(↹⩛33331⊭↱↹⩛22204)))","cot":[{"info":"↽≂↹⩛51414=↹⩛-143232","layer":3},{"info":"↹⩛30403⨸⪁↹⩛11240=↹⩛124130","layer":3},{"info":"↹⩛-143232⫁⪎↹⩛124130=↹⩛-311402","layer":2},{"info":"↹⩛55225⫃⨇↹⩛22310=↹⩛-134132","layer":3},{"info":"⋂↹⩛12105=↹⩛-303522","layer":3},{"info":"↹⩛-134132⫳≱↱↹⩛-303522=↹⩛-20550","layer":2},{"info":"↹⩛-311402⪎↠↹⩛-20550=↹⩛-131","layer":1},{"info":"↹⩛33331⊭↱↹⩛22204=↹⩛-22241","layer":3},{"info":"↡↹⩛-22241=↹⩛-334013","layer":2},{"info":"⨈⫕↹⩛-334013=↹⩛-33","layer":1},{"info":"↹⩛-131⪒↹⩛-33=↹⩛204","layer":0}]} +{"id":688,"expression_no_base_symbol":"(⨰⫟⨤(⇙⪊$1194$))⪶≀⋏(⨝⨆$4117$⪢$1336$)⇴∐(⊈(≦∁$2774$∇⊂⋱$3412$))","expression":"(⨰⫟⨤(⇙⪊↹⩛5310))⪶≀⋏(⨝⨆↹⩛31021⪢↹⩛10104)⇴∐(⊈(≦∁↹⩛20502∇⊂⋱↹⩛23444))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6492,"operation_count":9,"complexity_ratio":721.3333333333334,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1194,"base":6}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4117,"base":6},"right_expr":{"type":"numeric_atoms","value":1336,"base":6}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2774,"base":6},"right_expr":{"type":"numeric_atoms","value":3412,"base":6}}}}},"used_operators":["HnzytWxmAO","zR4jO40bMj","Tw270M8GLb","pB6Fcnrjim","bQ67fsrMVf","dWAJyo7jo9","RHru8klgy8","9ICcGScMcE","nhYeJWJD5X"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","tifHPKVTfV","k8jYdgA6NY","12rbrZMWeM","xUOZtlo3hN","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=4117","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=4117, right_input=1336, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4492662, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=2774","layer":4},{"info":"number node, value=3412","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=3412, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5002","layer":3},{"info":"compute unary expreesion, input=5002, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5002","layer":2},{"info":"compute unary expreesion, input=5002, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-5176","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5176, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨰⫟⨤(⇙⪊↹⩛5310))⪶≀⋏(⨝⨆↹⩛31021⪢↹⩛10104)⇴∐(⊈(≦∁↹⩛20502∇⊂⋱↹⩛23444))=NaN","reverse_text":"NaN=(⨰⫟⨤(⇙⪊↹⩛5310))⪶≀⋏(⨝⨆↹⩛31021⪢↹⩛10104)⇴∐(⊈(≦∁↹⩛20502∇⊂⋱↹⩛23444))","cot":[{"info":"⇙⪊↹⩛5310=↹⩛0","layer":3},{"info":"⨰⫟⨤↹⩛0=↹⩛240143210","layer":2},{"info":"↹⩛31021⪢↹⩛10104=NaN","layer":3},{"info":"⨝⨆NaN=NaN","layer":2},{"info":"↹⩛240143210⪶≀⋏NaN=NaN","layer":1},{"info":"↹⩛20502∇⊂⋱↹⩛23444=↹⩛35054","layer":3},{"info":"≦∁↹⩛35054=↹⩛35054","layer":2},{"info":"⊈↹⩛35054=↹⩛-35544","layer":1},{"info":"NaN⇴∐↹⩛-35544=NaN","layer":0}]} +{"id":689,"expression_no_base_symbol":"(⇐(⇵⪽($2233$⪘⫢$1197$)))≭(($1105$/$1114$)⫁($1230$⇼⇔∾$1119$)⇟⨁⪰)","expression":"(⇐(⇵⪽(↹⩛14201⪘⫢↹⩛5313)))≭((↹⩛5041/↹⩛5054)⫁(↹⩛5410⇼⇔∾↹⩛5103)⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":167,"operation_count":8,"complexity_ratio":20.875,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2233,"base":6},"right_expr":{"type":"numeric_atoms","value":1197,"base":6}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1105,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":1119,"base":6}}}}},"used_operators":["rxpJgHHUmx","nmZMaaE0Q9","ZGCBLdVRRX","oacrs7FA3X","BX1lVwlMe0","0ajvFaJAv0","XhwjNDsVaA","tifHPKVTfV"],"dependent_operators":["AHs5Up7iyr","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","U7g4x0WXJJ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2233","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=1197, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4342","layer":3},{"info":"compute unary expreesion, input=4342, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":1},{"info":"number node, value=1105","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1114, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1119, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-111","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-111, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-334","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-334, 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":6,"result_base":6,"text":"(⇐(⇵⪽(↹⩛14201⪘⫢↹⩛5313)))≭((↹⩛5041/↹⩛5054)⫁(↹⩛5410⇼⇔∾↹⩛5103)⇟⨁⪰)=NaN","reverse_text":"NaN=(⇐(⇵⪽(↹⩛14201⪘⫢↹⩛5313)))≭((↹⩛5041/↹⩛5054)⫁(↹⩛5410⇼⇔∾↹⩛5103)⇟⨁⪰)","cot":[{"info":"↹⩛14201⪘⫢↹⩛5313=↹⩛32034","layer":3},{"info":"⇵⪽↹⩛32034=NaN","layer":2},{"info":"⇐NaN=NaN","layer":1},{"info":"↹⩛5041/↹⩛5054=↹⩛0","layer":3},{"info":"↹⩛5410⇼⇔∾↹⩛5103=↹⩛-303","layer":3},{"info":"↹⩛0⫁↹⩛-303=↹⩛424","layer":2},{"info":"↹⩛424⇟⨁⪰=↹⩛-1314","layer":1},{"info":"NaN≭↹⩛-1314=NaN","layer":0}]} +{"id":690,"expression_no_base_symbol":"((⇵⪽$2115$)⨻⩈⩔($1718$⊍⩺⋍$2499$)⋻⩜⩜($1203$⋐⇩⊬)⫸⇳(⇋↷$3272$))⇴(⇺⋃($3082$⫁$6542$⫯⪬∳($5277$⫒⫫$5479$)))","expression":"((⇵⪽↹⩛13443)⨻⩈⩔(↹⩛11542⊍⩺⋍↹⩛15323)⋻⩜⩜(↹⩛5323⋐⇩⊬)⫸⇳(⇋↷↹⩛23052))⇴(⇺⋃(↹⩛22134⫁↹⩛50142⫯⪬∳(↹⩛40233⫒⫫↹⩛41211)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":202081,"operation_count":12,"complexity_ratio":16840.083333333332,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2115,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1718,"base":6},"right_expr":{"type":"numeric_atoms","value":2499,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1203,"base":6}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":3272,"base":6}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3082,"base":6},"right_expr":{"type":"numeric_atoms","value":6542,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5277,"base":6},"right_expr":{"type":"numeric_atoms","value":5479,"base":6}}}}},"used_operators":["4JB6nKBMSY","oDCm7WA9JY","nEsXyWgiOK","ZGCBLdVRRX","OXDGMFPWZM","gx7XJ7hdpj","JuuLT1NoCs","SWo3A1KBJH","E5v5B3UAjG","d7ASUq0ydm","0ajvFaJAv0","6Ko8hGgeMq"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","U7g4x0WXJJ","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","cHh1gJQ2o6","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1718","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=2499, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1203","layer":3},{"info":"number node, value=3272","layer":4},{"info":"compute unary expreesion, input=3272, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=26176","layer":3},{"info":"compute binary expreesion, left_input=1203, right_input=26176, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute 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":1},{"info":"number node, value=3082","layer":4},{"info":"number node, value=6542","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=6542, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=5277","layer":4},{"info":"number node, value=5479","layer":4},{"info":"compute binary expreesion, left_input=5277, right_input=5479, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=547","layer":2},{"info":"compute unary expreesion, input=547, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=2585","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2585, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⇵⪽↹⩛13443)⨻⩈⩔(↹⩛11542⊍⩺⋍↹⩛15323)⋻⩜⩜(↹⩛5323⋐⇩⊬)⫸⇳(⇋↷↹⩛23052))⇴(⇺⋃(↹⩛22134⫁↹⩛50142⫯⪬∳(↹⩛40233⫒⫫↹⩛41211)))=NaN","reverse_text":"NaN=((⇵⪽↹⩛13443)⨻⩈⩔(↹⩛11542⊍⩺⋍↹⩛15323)⋻⩜⩜(↹⩛5323⋐⇩⊬)⫸⇳(⇋↷↹⩛23052))⇴(⇺⋃(↹⩛22134⫁↹⩛50142⫯⪬∳(↹⩛40233⫒⫫↹⩛41211)))","cot":[{"info":"⇵⪽↹⩛13443=NaN","layer":3},{"info":"↹⩛11542⊍⩺⋍↹⩛15323=NaN","layer":3},{"info":"NaN⨻⩈⩔NaN=NaN","layer":2},{"info":"↹⩛5323⋐⇩⊬=↹⩛5323","layer":3},{"info":"⇋↷↹⩛23052=↹⩛321104","layer":3},{"info":"↹⩛5323⫸⇳↹⩛321104=↹⩛0","layer":2},{"info":"NaN⋻⩜⩜↹⩛0=NaN","layer":1},{"info":"↹⩛22134⫁↹⩛50142=↹⩛424","layer":3},{"info":"↹⩛40233⫒⫫↹⩛41211=NaN","layer":3},{"info":"↹⩛424⫯⪬∳NaN=↹⩛2311","layer":2},{"info":"⇺⋃↹⩛2311=↹⩛15545","layer":1},{"info":"NaN⇴↹⩛15545=NaN","layer":0}]} +{"id":691,"expression_no_base_symbol":"⊙↵-($1115$↤⩊$2395$⋳⪒($3363$⨽$3465$))⋹⋡⊁((⫶⊄≣$1627$)≓∲$8906$≝⊿$3529$)","expression":"⊙↵-(↹⩛5055↤⩊↹⩛15031⋳⪒(↹⩛23323⨽↹⩛24013))⋹⋡⊁((⫶⊄≣↹⩛11311)≓∲↹⩛105122≝⊿↹⩛24201)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5306,"operation_count":8,"complexity_ratio":663.25,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1115,"base":6},"right_expr":{"type":"numeric_atoms","value":2395,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3363,"base":6},"right_expr":{"type":"numeric_atoms","value":3465,"base":6}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1627,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":8906,"base":6},"right_expr":{"type":"numeric_atoms","value":3529,"base":6}}}}},"used_operators":["oWn0xqSxBt","As8RqfVLgs","12rbrZMWeM","13rbtpv6ld","8HhzD0ZcuI","s1XTVnmDOJ","wxb3vTeyAj","OKKcZfAt5B"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2395, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3363","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=3465, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33938388","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-33938388, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=47674297","layer":3},{"info":"number node, value=8906","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=8906, right_input=3529, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16497","layer":3},{"info":"compute binary expreesion, left_input=47674297, right_input=-16497, 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=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊙↵-(↹⩛5055↤⩊↹⩛15031⋳⪒(↹⩛23323⨽↹⩛24013))⋹⋡⊁((⫶⊄≣↹⩛11311)≓∲↹⩛105122≝⊿↹⩛24201)=NaN","reverse_text":"NaN=⊙↵-(↹⩛5055↤⩊↹⩛15031⋳⪒(↹⩛23323⨽↹⩛24013))⋹⋡⊁((⫶⊄≣↹⩛11311)≓∲↹⩛105122≝⊿↹⩛24201)","cot":[{"info":"↹⩛5055↤⩊↹⩛15031=NaN","layer":3},{"info":"↹⩛23323⨽↹⩛24013=↹⩛-3211230100","layer":3},{"info":"NaN⋳⪒↹⩛-3211230100=NaN","layer":2},{"info":"⫶⊄≣↹⩛11311=↹⩛4421454201","layer":3},{"info":"↹⩛105122≝⊿↹⩛24201=↹⩛-204213","layer":3},{"info":"↹⩛4421454201≓∲↹⩛-204213=-Inf","layer":2},{"info":"NaN⋹⋡⊁-Inf=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]} +{"id":692,"expression_no_base_symbol":"(⇺⋃($3104$⋛$3147$⫢⨠(⩰$4865$)))⋻⩜⩜($3237$⫉⨲⊜$1592$⇍⊗$2951$⨥⫆$2853$)⫁((↣≠⋷$3312$)≭(≛$5138$))","expression":"(⇺⋃(↹⩛22212⋛↹⩛22323⫢⨠(⩰↹⩛34305)))⋻⩜⩜(↹⩛22553⫉⨲⊜↹⩛11212⇍⊗↹⩛21355⨥⫆↹⩛21113)⫁((↣≠⋷↹⩛23200)≭(≛↹⩛35442))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3328,"operation_count":12,"complexity_ratio":277.3333333333333,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3104,"base":6},"right_expr":{"type":"numeric_atoms","value":3147,"base":6}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":4865,"base":6}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3237,"base":6},"right_expr":{"type":"numeric_atoms","value":1592,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2951,"base":6},"right_expr":{"type":"numeric_atoms","value":2853,"base":6}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3312,"base":6}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5138,"base":6}}}}},"used_operators":["oDCm7WA9JY","E5v5B3UAjG","xlXykHWxX1","YbUVn0Rbpy","WkeUrDK8WX","0ajvFaJAv0","5uvYHDjeKN","WhqkvtTD3t","yXekIHxTD4","rxpJgHHUmx","Asc51vEJeQ","W7eaUhjymW"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eewbuw0ToL","zVYPLywUTj","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3104","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=3147, 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=-104256","layer":3},{"info":"number node, value=4865","layer":4},{"info":"compute unary expreesion, input=4865, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5865","layer":3},{"info":"compute binary expreesion, left_input=-104256, right_input=-5865, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=879698","layer":2},{"info":"compute unary expreesion, input=879698, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"number node, value=3237","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=1592, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2951","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=2853, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5582","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5582, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3312","layer":4},{"info":"compute unary expreesion, input=3312, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5138","layer":4},{"info":"compute unary expreesion, input=5138, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 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":6,"result_base":6,"text":"(⇺⋃(↹⩛22212⋛↹⩛22323⫢⨠(⩰↹⩛34305)))⋻⩜⩜(↹⩛22553⫉⨲⊜↹⩛11212⇍⊗↹⩛21355⨥⫆↹⩛21113)⫁((↣≠⋷↹⩛23200)≭(≛↹⩛35442))=NaN","reverse_text":"NaN=(⇺⋃(↹⩛22212⋛↹⩛22323⫢⨠(⩰↹⩛34305)))⋻⩜⩜(↹⩛22553⫉⨲⊜↹⩛11212⇍⊗↹⩛21355⨥⫆↹⩛21113)⫁((↣≠⋷↹⩛23200)≭(≛↹⩛35442))","cot":[{"info":"↹⩛22212⋛↹⩛22323=↹⩛-2122400","layer":3},{"info":"⩰↹⩛34305=↹⩛-43053","layer":3},{"info":"↹⩛-2122400⫢⨠↹⩛-43053=↹⩛30504402","layer":2},{"info":"⇺⋃↹⩛30504402=NaN","layer":1},{"info":"↹⩛22553⫉⨲⊜↹⩛11212=↹⩛0","layer":3},{"info":"↹⩛21355⨥⫆↹⩛21113=↹⩛41502","layer":3},{"info":"↹⩛0⇍⊗↹⩛41502=↹⩛-1044","layer":2},{"info":"↣≠⋷↹⩛23200=NaN","layer":3},{"info":"≛↹⩛35442=↹⩛-14","layer":3},{"info":"NaN≭↹⩛-14=NaN","layer":2},{"info":"↹⩛-1044⫁NaN=↹⩛424","layer":1},{"info":"NaN⋻⩜⩜↹⩛424=NaN","layer":0}]} +{"id":693,"expression_no_base_symbol":"(⇵⪽(($3643$⫠↝⫳)⨸($3410$≎⊠⪸$2827$)))⇤((($6989$⋅⇍$1451$)⩚⊴⇥$1844$≴⪞⇿$2857$)⇯⋐)","expression":"(⇵⪽((↹⩛24511⫠↝⫳)⨸(↹⩛23442≎⊠⪸↹⩛21031)))⇤(((↹⩛52205⋅⇍↹⩛10415)⩚⊴⇥↹⩛12312≴⪞⇿↹⩛21121)⇯⋐)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":119255,"operation_count":9,"complexity_ratio":13250.555555555555,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":3643,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3410,"base":6},"right_expr":{"type":"numeric_atoms","value":2827,"base":6}}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6989,"base":6},"right_expr":{"type":"numeric_atoms","value":1451,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1844,"base":6},"right_expr":{"type":"numeric_atoms","value":2857,"base":6}}}}},"used_operators":["YSKBFp38Pu","ZGCBLdVRRX","KmoU8R5UQR","8n5YIzOsVS","bJkvcejdHO","LkLIoiE525","NTOWxs364D","AdZkA7nFnk","lvlrscuwVU"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","U7g4x0WXJJ","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3643","layer":4},{"info":"compute unary expreesion, input=3643, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=117199","layer":3},{"info":"number node, value=3410","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=2827, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=882717","layer":3},{"info":"compute binary expreesion, left_input=117199, right_input=882717, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=234398","layer":2},{"info":"compute unary expreesion, input=234398, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"number node, value=6989","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=6989, right_input=1451, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1844","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=2857, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4936316","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=4936316, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4936415","layer":2},{"info":"compute unary expreesion, input=-4936415, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-4935482","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4935482, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇵⪽((↹⩛24511⫠↝⫳)⨸(↹⩛23442≎⊠⪸↹⩛21031)))⇤(((↹⩛52205⋅⇍↹⩛10415)⩚⊴⇥↹⩛12312≴⪞⇿↹⩛21121)⇯⋐)=NaN","reverse_text":"NaN=(⇵⪽((↹⩛24511⫠↝⫳)⨸(↹⩛23442≎⊠⪸↹⩛21031)))⇤(((↹⩛52205⋅⇍↹⩛10415)⩚⊴⇥↹⩛12312≴⪞⇿↹⩛21121)⇯⋐)","cot":[{"info":"↹⩛24511⫠↝⫳=↹⩛2302331","layer":3},{"info":"↹⩛23442≎⊠⪸↹⩛21031=↹⩛30530353","layer":3},{"info":"↹⩛2302331⨸↹⩛30530353=↹⩛5005102","layer":2},{"info":"⇵⪽↹⩛5005102=NaN","layer":1},{"info":"↹⩛52205⋅⇍↹⩛10415=↹⩛-34","layer":3},{"info":"↹⩛12312≴⪞⇿↹⩛21121=↹⩛253445152","layer":3},{"info":"↹⩛-34⩚⊴⇥↹⩛253445152=↹⩛-253445435","layer":2},{"info":"↹⩛-253445435⇯⋐=↹⩛-253441242","layer":1},{"info":"NaN⇤↹⩛-253441242=NaN","layer":0}]} +{"id":694,"expression_no_base_symbol":"↥≼⋛(⫓⪴($5622$⪨⊡$1591$))≹⇙⪍(($2163$⪭≯$4774$)⨻⩈⩔($2190$⋘⨑⨽))","expression":"↥≼⋛(⫓⪴(↹⩛42010⪨⊡↹⩛11211))≹⇙⪍((↹⩛14003⪭≯↹⩛34034)⨻⩈⩔(↹⩛14050⋘⨑⨽))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":309,"operation_count":7,"complexity_ratio":44.142857142857146,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5622,"base":6},"right_expr":{"type":"numeric_atoms","value":1591,"base":6}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2163,"base":6},"right_expr":{"type":"numeric_atoms","value":4774,"base":6}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2190,"base":6}}}}},"used_operators":["x5lMkHmzsq","AHs5Up7iyr","eLxqMNBOBk","kuIXHzHcAH","nEsXyWgiOK","XAx5wpdLa6","WmT3o8z6ya"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","dWAJyo7jo9","9HNa5Wba9A","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"↹⩛-305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5622","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=5622, right_input=1591, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"number node, value=2163","layer":4},{"info":"number node, value=4774","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=4774, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2190","layer":4},{"info":"compute unary expreesion, input=2190, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=11733","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11733, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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 = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":6,"result_base":6,"text":"↥≼⋛(⫓⪴(↹⩛42010⪨⊡↹⩛11211))≹⇙⪍((↹⩛14003⪭≯↹⩛34034)⨻⩈⩔(↹⩛14050⋘⨑⨽))=↹⩛-305","reverse_text":"↹⩛-305=↥≼⋛(⫓⪴(↹⩛42010⪨⊡↹⩛11211))≹⇙⪍((↹⩛14003⪭≯↹⩛34034)⨻⩈⩔(↹⩛14050⋘⨑⨽))","cot":[{"info":"↹⩛42010⪨⊡↹⩛11211=↹⩛0","layer":3},{"info":"⫓⪴↹⩛0=↹⩛0","layer":2},{"info":"↹⩛14003⪭≯↹⩛34034=NaN","layer":3},{"info":"↹⩛14050⋘⨑⨽=↹⩛130153","layer":3},{"info":"NaN⨻⩈⩔↹⩛130153=NaN","layer":2},{"info":"↹⩛0≹⇙⪍NaN=NaN","layer":1},{"info":"↥≼⋛NaN=↹⩛-305","layer":0}]} +{"id":695,"expression_no_base_symbol":"(⨵≀≌$4071$∺≝⩲$1124$)⩇∃⫛((⨆≐≲$3322$)+(⇤←$7371$))⨔≚≋(↓⇌($1284$↤⩊$5219$⇣⩺⋵$3738$⨼⩣$8396$))","expression":"(⨵≀≌↹⩛30503∺≝⩲↹⩛5112)⩇∃⫛((⨆≐≲↹⩛23214)+(⇤←↹⩛54043))⨔≚≋(↓⇌(↹⩛5540↤⩊↹⩛40055⇣⩺⋵↹⩛25150⨼⩣↹⩛102512))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":999,"operation_count":11,"complexity_ratio":90.81818181818181,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4071,"base":6},"right_expr":{"type":"numeric_atoms","value":1124,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3322,"base":6}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":7371,"base":6}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1284,"base":6},"right_expr":{"type":"numeric_atoms","value":5219,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3738,"base":6},"right_expr":{"type":"numeric_atoms","value":8396,"base":6}}}}},"used_operators":["Z57zeUYC9z","1aApVXNlOP","srAu1WTS94","KPf6cnQVty","W4YGzv6Whe","Bi9z9uYZqW","jfAgQ2OQeM","PxpmPgHHJV","F4yD0voBRQ","13rbtpv6ld","JxwMv5le6e"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"↹⩛113412","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4071","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=4071, right_input=1124, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":2},{"info":"number node, value=3322","layer":4},{"info":"compute unary expreesion, input=3322, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=36022488","layer":3},{"info":"number node, value=7371","layer":4},{"info":"compute unary expreesion, input=7371, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-35489","layer":3},{"info":"compute binary expreesion, left_input=36022488, right_input=-35489, op_id = W4YGzv6Whe binary_op_definition= 'None', output=35986999","layer":2},{"info":"compute binary expreesion, left_input=25600, right_input=35986999, 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=35961872","layer":1},{"info":"number node, value=1284","layer":4},{"info":"number node, value=5219","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=5219, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3738","layer":4},{"info":"number node, value=8396","layer":4},{"info":"compute binary expreesion, left_input=3738, right_input=8396, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-520","layer":1},{"info":"compute binary expreesion, left_input=35961872, right_input=-520, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":6,"result_base":6,"text":"(⨵≀≌↹⩛30503∺≝⩲↹⩛5112)⩇∃⫛((⨆≐≲↹⩛23214)+(⇤←↹⩛54043))⨔≚≋(↓⇌(↹⩛5540↤⩊↹⩛40055⇣⩺⋵↹⩛25150⨼⩣↹⩛102512))=↹⩛113412","reverse_text":"↹⩛113412=(⨵≀≌↹⩛30503∺≝⩲↹⩛5112)⩇∃⫛((⨆≐≲↹⩛23214)+(⇤←↹⩛54043))⨔≚≋(↓⇌(↹⩛5540↤⩊↹⩛40055⇣⩺⋵↹⩛25150⨼⩣↹⩛102512))","cot":[{"info":"↹⩛30503∺≝⩲↹⩛5112=↹⩛424","layer":3},{"info":"⨵≀≌↹⩛424=↹⩛314304","layer":2},{"info":"⨆≐≲↹⩛23214=↹⩛3324030440","layer":3},{"info":"⇤←↹⩛54043=↹⩛-432145","layer":3},{"info":"↹⩛3324030440+↹⩛-432145=↹⩛3323154251","layer":2},{"info":"↹⩛314304⩇∃⫛↹⩛3323154251=↹⩛3322442052","layer":1},{"info":"↹⩛5540↤⩊↹⩛40055=NaN","layer":3},{"info":"↹⩛25150⨼⩣↹⩛102512=NaN","layer":3},{"info":"NaN⇣⩺⋵NaN=↹⩛-1112","layer":2},{"info":"↓⇌↹⩛-1112=↹⩛-2224","layer":1},{"info":"↹⩛3322442052⨔≚≋↹⩛-2224=↹⩛113412","layer":0}]} +{"id":696,"expression_no_base_symbol":"(($3802$⫚↹⊑$3332$)∖$4796$≭$1677$)∊∟⩊($2075$≃$1791$⪹)⩷∴($1072$⨑⩅≇$1922$⩟)⪢(⫶⊄≣$1266$)⪎↠($1261$⨼⩣$3582$)","expression":"((↹⩛25334⫚↹⊑↹⩛23232)∖↹⩛34112≭↹⩛11433)∊∟⩊(↹⩛13335≃↹⩛12143⪹)⩷∴(↹⩛4544⨑⩅≇↹⩛12522⩟)⪢(⫶⊄≣↹⩛5510)⪎↠(↹⩛5501⨼⩣↹⩛24330)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23692,"operation_count":13,"complexity_ratio":1822.4615384615386,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3802,"base":6},"right_expr":{"type":"numeric_atoms","value":3332,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4796,"base":6},"right_expr":{"type":"numeric_atoms","value":1677,"base":6}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2075,"base":6},"right_expr":{"type":"numeric_atoms","value":1791,"base":6}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1072,"base":6},"right_expr":{"type":"numeric_atoms","value":1922,"base":6}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1266,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1261,"base":6},"right_expr":{"type":"numeric_atoms","value":3582,"base":6}}}}},"used_operators":["9FxExcQeMw","ddLRYrp01A","tXD093vOjl","dfKe02y8D2","rxpJgHHUmx","B3sABdIn96","YbVcJGFEVW","dWAJyo7jo9","fOIeswaMU4","h92wMvzauj","3tVxb0NHM4","wxb3vTeyAj","JxwMv5le6e"],"dependent_operators":["rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3802","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=3332, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=4796","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1677, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=2075","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=1791, 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=-8340","layer":3},{"info":"compute unary expreesion, input=-8340, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-11126","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-11126, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-11126","layer":1},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1922, 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=-3216","layer":3},{"info":"compute unary expreesion, input=-3216, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳��((a⋳⪒a)+(155⋥≓≎a))) }', output=30171","layer":2},{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=28869085","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=3582, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=28869085, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=30171, right_input=160, 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=-11126, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛25334⫚↹⊑↹⩛23232)∖↹⩛34112≭↹⩛11433)∊∟⩊(↹⩛13335≃↹⩛12143⪹)⩷∴(↹⩛4544⨑⩅≇↹⩛12522⩟)⪢(⫶⊄≣↹⩛5510)⪎↠(↹⩛5501⨼⩣↹⩛24330)=NaN","reverse_text":"NaN=((↹⩛25334⫚↹⊑↹⩛23232)∖↹⩛34112≭↹⩛11433)∊∟⩊(↹⩛13335≃↹⩛12143⪹)⩷∴(↹⩛4544⨑⩅≇↹⩛12522⩟)⪢(⫶⊄≣↹⩛5510)⪎↠(↹⩛5501⨼⩣↹⩛24330)","cot":[{"info":"↹⩛25334⫚↹⊑↹⩛23232=↹⩛-2023","layer":3},{"info":"↹⩛34112≭↹⩛11433=NaN","layer":3},{"info":"↹⩛-2023∖NaN=↹⩛0","layer":2},{"info":"↹⩛13335≃↹⩛12143=↹⩛-102340","layer":3},{"info":"↹⩛-102340⪹=↹⩛-123302","layer":2},{"info":"↹⩛0∊∟⩊↹⩛-123302=↹⩛-123302","layer":1},{"info":"↹⩛4544⨑⩅≇↹⩛12522=↹⩛-22520","layer":3},{"info":"↹⩛-22520⩟=↹⩛351403","layer":2},{"info":"⫶⊄≣↹⩛5510=↹⩛2510433101","layer":3},{"info":"↹⩛5501⨼⩣↹⩛24330=NaN","layer":3},{"info":"↹⩛2510433101⪎↠NaN=↹⩛424","layer":2},{"info":"↹⩛351403⪢↹⩛424=NaN","layer":1},{"info":"↹⩛-123302⩷∴NaN=NaN","layer":0}]} +{"id":697,"expression_no_base_symbol":"⩪∧⨌($4532$≬⇓$1017$)⪶≀⋏(∤↝$3612$)≒∊((∤$2071$)≃$1059$⩘$6082$)","expression":"⩪∧⨌(↹⩛32552≬⇓↹⩛4413)⪶≀⋏(∤↝↹⩛24420)≒∊((∤↹⩛13331)≃↹⩛4523⩘↹⩛44054)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":165,"operation_count":8,"complexity_ratio":20.625,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4532,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3612,"base":6}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2071,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1059,"base":6},"right_expr":{"type":"numeric_atoms","value":6082,"base":6}}}}},"used_operators":["6iOiAJX1F8","5KTvxBwnZo","zR4jO40bMj","jWTQ2TZYIH","3UMq87Qwqg","YbVcJGFEVW","k2HlF1dBQh","cHh1gJQ2o6"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛-10031212","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4532","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=1017, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=3612","layer":4},{"info":"compute unary expreesion, input=3612, 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=3612","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=3612, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=28896","layer":2},{"info":"number node, value=2071","layer":4},{"info":"compute unary expreesion, input=2071, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=6082","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=6082, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=9, 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":2},{"info":"compute binary expreesion, left_input=28896, right_input=-1360, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-28412","layer":1},{"info":"compute unary expreesion, input=-28412, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-284120","layer":0}],"base":6,"result_base":6,"text":"⩪∧⨌(↹⩛32552≬⇓↹⩛4413)⪶≀⋏(∤↝↹⩛24420)≒∊((∤↹⩛13331)≃↹⩛4523⩘↹⩛44054)=↹⩛-10031212","reverse_text":"↹⩛-10031212=⩪∧⨌(↹⩛32552≬⇓↹⩛4413)⪶≀⋏(∤↝↹⩛24420)≒∊((∤↹⩛13331)≃↹⩛4523⩘↹⩛44054)","cot":[{"info":"↹⩛32552≬⇓↹⩛4413=↹⩛-34","layer":3},{"info":"∤↝↹⩛24420=↹⩛24420","layer":3},{"info":"↹⩛-34⪶≀⋏↹⩛24420=↹⩛341440","layer":2},{"info":"∤↹⩛13331=↹⩛13","layer":3},{"info":"↹⩛4523⩘↹⩛44054=↹⩛424","layer":3},{"info":"↹⩛13≃↹⩛424=↹⩛-10144","layer":2},{"info":"↹⩛341440≒∊↹⩛-10144=↹⩛-335312","layer":1},{"info":"⩪∧⨌↹⩛-335312=↹⩛-10031212","layer":0}]} +{"id":698,"expression_no_base_symbol":"(((⨂⪏⇭$1884$)∈)⩱)∀⋜↑","expression":"(((⨂⪏⇭↹⩛12420)∈)⩱)∀⋜↑","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":57,"operation_count":4,"complexity_ratio":14.25,"tree":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1884,"base":6}}}}},"used_operators":["KipPnG1M2J","uyq1hVkAcj","ztP7wcbY7m","AYdpE9sXAk"],"dependent_operators":["eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"↹⩛-5102014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1884","layer":4},{"info":"compute unary expreesion, input=1884, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4673","layer":3},{"info":"compute unary expreesion, input=4673, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=13348","layer":2},{"info":"compute unary expreesion, input=13348, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-80338","layer":1},{"info":"compute unary expreesion, input=-80338, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-241498","layer":0}],"base":6,"result_base":6,"text":"(((⨂⪏⇭↹⩛12420)∈)⩱)∀⋜↑=↹⩛-5102014","reverse_text":"↹⩛-5102014=(((⨂⪏⇭↹⩛12420)∈)⩱)∀⋜↑","cot":[{"info":"⨂⪏⇭↹⩛12420=↹⩛33345","layer":3},{"info":"↹⩛33345∈=↹⩛141444","layer":2},{"info":"↹⩛141444⩱=↹⩛-1415534","layer":1},{"info":"↹⩛-1415534∀⋜↑=↹⩛-5102014","layer":0}]} +{"id":699,"expression_no_base_symbol":"(($4534$≀⫉$3391$)⪛($4878$⫦⪉$6605$))⫗⊷⫓(($1078$→⨶⪴$1594$)⋛$1957$↤⩊$3035$)∠↢((↞≼(≸≮$4420$))⫦⪉(⊲⪭($1063$⫽⇹≛)))","expression":"((↹⩛32554≀⫉↹⩛23411)⪛(↹⩛34330⫦⪉↹⩛50325))⫗⊷⫓((↹⩛4554→⨶⪴↹⩛11214)⋛↹⩛13021↤⩊↹⩛22015)∠↢((↞≼(≸≮↹⩛32244))⫦⪉(⊲⪭(↹⩛4531⫽⇹≛)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":97965,"operation_count":13,"complexity_ratio":7535.7692307692305,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4534,"base":6},"right_expr":{"type":"numeric_atoms","value":3391,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4878,"base":6},"right_expr":{"type":"numeric_atoms","value":6605,"base":6}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1078,"base":6},"right_expr":{"type":"numeric_atoms","value":1594,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1957,"base":6},"right_expr":{"type":"numeric_atoms","value":3035,"base":6}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":4420,"base":6}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1063,"base":6}}}}},"used_operators":["KbjG8mgYpV","zashukvMKz","uFcxV4UQCh","oZj3VtZNQx","wscyQdcy20","YbUVn0Rbpy","bF6eod5Gvf","13rbtpv6ld","DE7zCoGJt9","AljMvE3RRm","k7HXdKtiEU","NNaDxxp6OQ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","8w2t5hMYqp","9FxExcQeMw","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","i8ToyICDmI","xUOZtlo3hN","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4534","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=4534, right_input=3391, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4878","layer":4},{"info":"number node, value=6605","layer":4},{"info":"compute binary expreesion, left_input=4878, right_input=6605, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4856","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-4856, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2034","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1594, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4782","layer":3},{"info":"number node, value=1957","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=3035, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4782, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2034, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=4420","layer":4},{"info":"compute unary expreesion, input=4420, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"number node, value=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute unary expreesion, input=272, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (���⊢(a∲⫓0)) }', output=-446","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-446, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, 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":6,"result_base":6,"text":"((↹⩛32554≀⫉↹⩛23411)⪛(↹⩛34330⫦⪉↹⩛50325))⫗⊷⫓((↹⩛4554→⨶⪴↹⩛11214)⋛↹⩛13021↤⩊↹⩛22015)∠↢((↞≼(≸≮↹⩛32244))⫦⪉(⊲⪭(↹⩛4531⫽⇹≛)))=NaN","reverse_text":"NaN=((↹⩛32554≀⫉↹⩛23411)⪛(↹⩛34330⫦⪉↹⩛50325))⫗⊷⫓((↹⩛4554→⨶⪴↹⩛11214)⋛↹⩛13021↤⩊↹⩛22015)∠↢((↞≼(≸≮↹⩛32244))⫦⪉(⊲⪭(↹⩛4531⫽⇹≛)))","cot":[{"info":"↹⩛32554≀⫉↹⩛23411=↹⩛21022","layer":3},{"info":"↹⩛34330⫦⪉↹⩛50325=↹⩛-34252","layer":3},{"info":"↹⩛21022⪛↹⩛-34252=↹⩛-13230","layer":2},{"info":"↹⩛4554→⨶⪴↹⩛11214=↹⩛-34050","layer":3},{"info":"↹⩛13021↤⩊↹⩛22015=NaN","layer":3},{"info":"↹⩛-34050⋛NaN=NaN","layer":2},{"info":"↹⩛-13230⫗⊷⫓NaN=↹⩛-342","layer":1},{"info":"≸≮↹⩛32244=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"↹⩛4531⫽⇹≛=↹⩛1132","layer":3},{"info":"⊲⪭↹⩛1132=↹⩛-2022","layer":2},{"info":"NaN⫦⪉↹⩛-2022=NaN","layer":1},{"info":"↹⩛-342∠↢NaN=NaN","layer":0}]} +{"id":700,"expression_no_base_symbol":"(($1035$≀⩗∶$3557$)∥⊢⊲(≱⇩⩕$2311$)+⪬∐(($2579$⇣⩺⋵$1433$)⫠))↑","expression":"((↹⩛4443≀⩗∶↹⩛24245)∥⊢⊲(≱⇩⩕↹⩛14411)+⪬∐((↹⩛15535⇣⩺⋵↹⩛10345)⫠))↑","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4245,"operation_count":7,"complexity_ratio":606.4285714285714,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1035,"base":6},"right_expr":{"type":"numeric_atoms","value":3557,"base":6}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2311,"base":6}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2579,"base":6},"right_expr":{"type":"numeric_atoms","value":1433,"base":6}}}}},"used_operators":["BThhyOhh10","2GS7woTJqF","v1UQAVDJRr","8INZBEW696","3DZMoQKiUl","6SnOT2rOjz","F4yD0voBRQ"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","EBcxylXtPf","rGHVDoGpnC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"↹⩛1010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=3557, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=113, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"number node, value=2579","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1433, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4443≀⩗∶↹⩛24245)∥⊢⊲(≱⇩⩕↹⩛14411)+⪬∐((↹⩛15535⇣⩺⋵↹⩛10345)⫠))↑=↹⩛1010","reverse_text":"↹⩛1010=((↹⩛4443≀⩗∶↹⩛24245)∥⊢⊲(≱⇩⩕↹⩛14411)+⪬∐((↹⩛15535⇣⩺⋵↹⩛10345)⫠))↑","cot":[{"info":"↹⩛4443≀⩗∶↹⩛24245=↹⩛-13","layer":3},{"info":"≱⇩⩕↹⩛14411=↹⩛305","layer":3},{"info":"↹⩛-13∥⊢⊲↹⩛305=↹⩛0","layer":2},{"info":"↹⩛15535⇣⩺⋵↹⩛10345=↹⩛-1112","layer":3},{"info":"↹⩛-1112⫠=↹⩛0","layer":2},{"info":"↹⩛0+⪬∐↹⩛0=↹⩛0","layer":1},{"info":"↹⩛0↑=↹⩛1010","layer":0}]} +{"id":701,"expression_no_base_symbol":"(⨴⫝($3851$⋷$1133$)∴($1820$%$5992$))∟","expression":"(⨴⫝(↹⩛25455⋷↹⩛5125)∴(↹⩛12232%↹⩛43424))∟","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1889,"operation_count":5,"complexity_ratio":377.8,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3851,"base":6},"right_expr":{"type":"numeric_atoms","value":1133,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1820,"base":6},"right_expr":{"type":"numeric_atoms","value":5992,"base":6}}}}},"used_operators":["hTbEZDJLEm","SVb2v531z1","hrf7POJlIJ","23Mk6UjR3U","k8jYdgA6NY"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3851","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=3851, right_input=1133, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1585","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=5992","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=5992, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1820","layer":3},{"info":"compute binary expreesion, left_input=-1585, right_input=1820, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-1522","layer":2},{"info":"compute unary expreesion, input=-1522, 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 = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(⨴⫝(↹⩛25455⋷↹⩛5125)∴(↹⩛12232%↹⩛43424))∟=↹⩛305","reverse_text":"↹⩛305=(⨴⫝(↹⩛25455⋷↹⩛5125)∴(↹⩛12232%↹⩛43424))∟","cot":[{"info":"↹⩛25455⋷↹⩛5125=↹⩛-11201","layer":3},{"info":"↹⩛12232%↹⩛43424=↹⩛12232","layer":3},{"info":"↹⩛-11201∴↹⩛12232=↹⩛-11014","layer":2},{"info":"⨴⫝↹⩛-11014=↹⩛140341302","layer":1},{"info":"↹⩛140341302∟=↹⩛305","layer":0}]} +{"id":702,"expression_no_base_symbol":"(↔(($4765$≎⊠⪸$2413$)⨪↰⇹$2064$∣$4763$))≬⇓((($2012$⪨⊡$4227$)⩣⫁∢($2679$⫳≱↱$6594$))↑)","expression":"(↔((↹⩛34021≎⊠⪸↹⩛15101)⨪↰⇹↹⩛13320∣↹⩛34015))≬⇓(((↹⩛13152⪨⊡↹⩛31323)⩣⫁∢(↹⩛20223⫳≱↱↹⩛50310))↑)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":810,"operation_count":9,"complexity_ratio":90.0,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4765,"base":6},"right_expr":{"type":"numeric_atoms","value":2413,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2064,"base":6},"right_expr":{"type":"numeric_atoms","value":4763,"base":6}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2012,"base":6},"right_expr":{"type":"numeric_atoms","value":4227,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2679,"base":6},"right_expr":{"type":"numeric_atoms","value":6594,"base":6}}}}},"used_operators":["jWTQ2TZYIH","ruOEQAzv1W","tmPS8pqC7x","bJkvcejdHO","PPChnnnBFF","BThhyOhh10","JDUIKTTSIa","kuIXHzHcAH","ZvLB05nZmT"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4765","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=4765, right_input=2413, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1233662","layer":3},{"info":"number node, value=2064","layer":4},{"info":"number node, value=4763","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=4763, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2064","layer":3},{"info":"compute binary expreesion, left_input=1233662, right_input=2064, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=2012","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=4227, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=6594","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=6594, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-204, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":2},{"info":"compute unary expreesion, input=161, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=222, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↔((↹⩛34021≎⊠⪸↹⩛15101)⨪↰⇹↹⩛13320∣↹⩛34015))≬⇓(((↹⩛13152⪨⊡↹⩛31323)⩣⫁∢(↹⩛20223⫳≱↱↹⩛50310))↑)=↹⩛0","reverse_text":"↹⩛0=(↔((↹⩛34021≎⊠⪸↹⩛15101)⨪↰⇹↹⩛13320∣↹⩛34015))≬⇓(((↹⩛13152⪨⊡↹⩛31323)⩣⫁∢(↹⩛20223⫳≱↱↹⩛50310))↑)","cot":[{"info":"↹⩛34021≎⊠⪸↹⩛15101=↹⩛42235222","layer":3},{"info":"↹⩛13320∣↹⩛34015=↹⩛13320","layer":3},{"info":"↹⩛42235222⨪↰⇹↹⩛13320=NaN","layer":2},{"info":"↔NaN=↹⩛-342","layer":1},{"info":"↹⩛13152⪨⊡↹⩛31323=↹⩛0","layer":3},{"info":"↹⩛20223⫳≱↱↹⩛50310=↹⩛-540","layer":3},{"info":"↹⩛0⩣⫁∢↹⩛-540=↹⩛425","layer":2},{"info":"↹⩛425↑=↹⩛1010","layer":1},{"info":"↹⩛-342≬⇓↹⩛1010=↹⩛0","layer":0}]} +{"id":703,"expression_no_base_symbol":"($6321$⨐$2807$⫢⨠(≸≮$1041$)⩺⪪($2621$⫞⩸⩒$5843$⊜))⨻⩈⩔(⨰⫟⨤$3375$)⨽∌$3232$⪝$1395$⪘⫢(⨵≀≌($7410$∛≔))","expression":"(↹⩛45133⨐↹⩛20555⫢⨠(≸≮↹⩛4453)⩺⪪(↹⩛20045⫞⩸⩒↹⩛43015⊜))⨻⩈⩔(⨰⫟⨤↹⩛23343)⨽∌↹⩛22544⪝↹⩛10243⪘⫢(⨵≀≌(↹⩛54150∛≔))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":81922,"operation_count":13,"complexity_ratio":6301.692307692308,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6321,"base":6},"right_expr":{"type":"numeric_atoms","value":2807,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1041,"base":6}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2621,"base":6},"right_expr":{"type":"numeric_atoms","value":5843,"base":6}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3375,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3232,"base":6},"right_expr":{"type":"numeric_atoms","value":1395,"base":6}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":7410,"base":6}}}}},"used_operators":["nEsXyWgiOK","uvdQJvN4PV","xlXykHWxX1","Noe24qw2ks","AljMvE3RRm","Eev2Q7dYIw","XGcMNugi78","oacrs7FA3X","9samAPKr6k","Tw270M8GLb","wicAB68Tmb","srAu1WTS94","mGnSCrte3L"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6321","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=6321, right_input=2807, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-12642","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12642, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=2621","layer":4},{"info":"number node, value=5843","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=5843, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5843","layer":3},{"info":"compute unary expreesion, input=5843, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-21636","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21636, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=3375","layer":4},{"info":"compute unary expreesion, input=3375, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3232","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=1395, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7747","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7747, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=7410","layer":4},{"info":"compute unary expreesion, input=7410, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45133⨐↹⩛20555⫢⨠(≸≮↹⩛4453)⩺⪪(↹⩛20045⫞⩸⩒↹⩛43015⊜))⨻⩈⩔(⨰⫟⨤↹⩛23343)⨽∌↹⩛22544⪝↹⩛10243⪘⫢(⨵≀≌(↹⩛54150∛≔))=NaN","reverse_text":"NaN=(↹⩛45133⨐↹⩛20555⫢⨠(≸≮↹⩛4453)⩺⪪(↹⩛20045⫞⩸⩒↹⩛43015⊜))⨻⩈⩔(⨰⫟⨤↹⩛23343)⨽∌↹⩛22544⪝↹⩛10243⪘⫢(⨵≀≌(↹⩛54150∛≔))","cot":[{"info":"↹⩛45133⨐↹⩛20555=↹⩛-134310","layer":3},{"info":"≸≮↹⩛4453=NaN","layer":3},{"info":"↹⩛-134310⫢⨠NaN=NaN","layer":2},{"info":"↹⩛20045⫞⩸⩒↹⩛43015=↹⩛43015","layer":3},{"info":"↹⩛43015⊜=↹⩛-244100","layer":2},{"info":"NaN⩺⪪↹⩛-244100=NaN","layer":1},{"info":"⨰⫟⨤↹⩛23343=NaN","layer":3},{"info":"↹⩛22544⪝↹⩛10243=↹⩛-55511","layer":3},{"info":"NaN⨽∌↹⩛-55511=↹⩛0","layer":2},{"info":"↹⩛54150∛≔=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"↹⩛0⪘⫢NaN=NaN","layer":1},{"info":"NaN⨻⩈⩔NaN=NaN","layer":0}]} +{"id":704,"expression_no_base_symbol":"(∮($4022$↤⩊$2325$⊢($5628$⨔≚≋$6256$)))⪬∳","expression":"(∮(↹⩛30342↤⩊↹⩛14433⊢(↹⩛42020⨔≚≋↹⩛44544)))⪬∳","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":349,"operation_count":5,"complexity_ratio":69.8,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4022,"base":6},"right_expr":{"type":"numeric_atoms","value":2325,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5628,"base":6},"right_expr":{"type":"numeric_atoms","value":6256,"base":6}}}}},"used_operators":["O9U3z1385E","CqXKPLVYql","5twsqlHp2o","13rbtpv6ld","Z57zeUYC9z"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4022","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=4022, right_input=2325, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=5628","layer":4},{"info":"number node, value=6256","layer":4},{"info":"compute binary expreesion, left_input=5628, right_input=6256, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∮(↹⩛30342↤⩊↹⩛14433⊢(↹⩛42020⨔≚≋↹⩛44544)))⪬∳=NaN","reverse_text":"NaN=(∮(↹⩛30342↤⩊↹⩛14433⊢(↹⩛42020⨔≚≋↹⩛44544)))⪬∳","cot":[{"info":"↹⩛30342↤⩊↹⩛14433=NaN","layer":3},{"info":"↹⩛42020⨔≚≋↹⩛44544=↹⩛113412","layer":3},{"info":"NaN⊢↹⩛113412=NaN","layer":2},{"info":"∮NaN=NaN","layer":1},{"info":"NaN⪬∳=NaN","layer":0}]} +{"id":705,"expression_no_base_symbol":"($2933$⪨⊡$6206$)≚⊃≕$7567$⨐$2151$⇌⫙⪟(≀↧⇸$3455$)⪬($2112$∠⫱$2448$)⩵∡($6202$∺≝⩲$1500$≃($2072$⋻⩜⩜$3393$))⩖⊿($3354$≚⊃≕$3133$⪭≯($3948$↸$3027$))","expression":"(↹⩛21325⪨⊡↹⩛44422)≚⊃≕↹⩛55011⨐↹⩛13543⇌⫙⪟(≀↧⇸↹⩛23555)⪬(↹⩛13440∠⫱↹⩛15200)⩵∡(↹⩛44414∺≝⩲↹⩛10540≃(↹⩛13332⋻⩜⩜↹⩛23413))⩖⊿(↹⩛23310≚⊃≕↹⩛22301⪭≯(↹⩛30140↸↹⩛22003))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":51430,"operation_count":15,"complexity_ratio":3428.6666666666665,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2933,"base":6},"right_expr":{"type":"numeric_atoms","value":6206,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":7567,"base":6},"right_expr":{"type":"numeric_atoms","value":2151,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3455,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2112,"base":6},"right_expr":{"type":"numeric_atoms","value":2448,"base":6}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6202,"base":6},"right_expr":{"type":"numeric_atoms","value":1500,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2072,"base":6},"right_expr":{"type":"numeric_atoms","value":3393,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3354,"base":6},"right_expr":{"type":"numeric_atoms","value":3133,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3948,"base":6},"right_expr":{"type":"numeric_atoms","value":3027,"base":6}}}}},"used_operators":["Y7wcNGrDQJ","AFVx7xoS7T","Bmrmz2XGnR","kuIXHzHcAH","Noe24qw2ks","Ez1Nq5fNfI","ljTHtUsqzn","QvoQhV0rrE","RZ5CV9rWsJ","YbVcJGFEVW","KPf6cnQVty","oDCm7WA9JY","XAx5wpdLa6","1eCjFl0mb9"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2933","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=6206, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=7567","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=7567, right_input=2151, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-15134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-15134, 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=-30434","layer":2},{"info":"number node, value=3455","layer":4},{"info":"compute unary expreesion, input=3455, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6910","layer":3},{"info":"number node, value=2112","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=2448, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=6910, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-30434, right_input=1234, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"number node, value=6202","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=6202, right_input=1500, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=3393, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4144","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4144, 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=-680","layer":2},{"info":"number node, value=3354","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=3133, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=3027, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3948","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3948, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-680, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21325⪨⊡↹⩛44422)≚⊃≕↹⩛55011⨐↹⩛13543⇌⫙⪟(≀↧⇸↹⩛23555)⪬(↹⩛13440∠⫱↹⩛15200)⩵∡(↹⩛44414∺≝⩲↹⩛10540≃(↹⩛13332⋻⩜⩜↹⩛23413))⩖⊿(↹⩛23310≚⊃≕↹⩛22301⪭≯(↹⩛30140↸↹⩛22003))=NaN","reverse_text":"NaN=(↹⩛21325⪨⊡↹⩛44422)≚⊃≕↹⩛55011⨐↹⩛13543⇌⫙⪟(≀↧⇸↹⩛23555)⪬(↹⩛13440∠⫱↹⩛15200)⩵∡(↹⩛44414∺≝⩲↹⩛10540≃(↹⩛13332⋻⩜⩜↹⩛23413))⩖⊿(↹⩛23310≚⊃≕↹⩛22301⪭≯(↹⩛30140↸↹⩛22003))","cot":[{"info":"↹⩛21325⪨⊡↹⩛44422=↹⩛0","layer":3},{"info":"↹⩛55011⨐↹⩛13543=↹⩛-154022","layer":3},{"info":"↹⩛0≚⊃≕↹⩛-154022=↹⩛-352522","layer":2},{"info":"≀↧⇸↹⩛23555=↹⩛51554","layer":3},{"info":"↹⩛13440∠⫱↹⩛15200=↹⩛5414","layer":3},{"info":"↹⩛51554⪬↹⩛5414=↹⩛5414","layer":2},{"info":"↹⩛-352522⇌⫙⪟↹⩛5414=↹⩛305","layer":1},{"info":"↹⩛44414∺≝⩲↹⩛10540=↹⩛424","layer":3},{"info":"↹⩛13332⋻⩜⩜↹⩛23413=↹⩛31104","layer":3},{"info":"↹⩛424≃↹⩛31104=↹⩛-3052","layer":2},{"info":"↹⩛23310≚⊃≕↹⩛22301=↹⩛151","layer":3},{"info":"↹⩛30140↸↹⩛22003=↹⩛30140","layer":3},{"info":"↹⩛151⪭≯↹⩛30140=NaN","layer":2},{"info":"↹⩛-3052⩖⊿NaN=NaN","layer":1},{"info":"↹⩛305⩵∡NaN=NaN","layer":0}]} +{"id":706,"expression_no_base_symbol":"⇐($2393$⪟⇏$1691$⊝)⪟⇏((⇜⊴$1926$)⋥≓≎$4041$⨰$1958$)","expression":"⇐(↹⩛15025⪟⇏↹⩛11455⊝)⪟⇏((⇜⊴↹⩛12530)⋥≓≎↹⩛30413⨰↹⩛13022)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":195,"operation_count":7,"complexity_ratio":27.857142857142858,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2393,"base":6},"right_expr":{"type":"numeric_atoms","value":1691,"base":6}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1926,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4041,"base":6},"right_expr":{"type":"numeric_atoms","value":1958,"base":6}}}}},"used_operators":["nmZMaaE0Q9","GODebY97qR","O6EZ0fifGK","Qy55tPpLXF","XwDhCwWbUn","eewbuw0ToL"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2393","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=1691, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-1","layer":2},{"info":"number node, value=1926","layer":4},{"info":"compute unary expreesion, input=1926, 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=-440822","layer":3},{"info":"number node, value=4041","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=4041, right_input=1958, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2093","layer":3},{"info":"compute binary expreesion, left_input=-440822, right_input=2093, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=67, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇐(↹⩛15025⪟⇏↹⩛11455⊝)⪟⇏((⇜⊴↹⩛12530)⋥≓≎↹⩛30413⨰↹⩛13022)=↹⩛0","reverse_text":"↹⩛0=⇐(↹⩛15025⪟⇏↹⩛11455⊝)⪟⇏((⇜⊴↹⩛12530)⋥≓≎↹⩛30413⨰↹⩛13022)","cot":[{"info":"↹⩛15025⪟⇏↹⩛11455=↹⩛-1","layer":3},{"info":"↹⩛-1⊝=↹⩛-1","layer":2},{"info":"⇜⊴↹⩛12530=↹⩛-13240502","layer":3},{"info":"↹⩛30413⨰↹⩛13022=↹⩛13405","layer":3},{"info":"↹⩛-13240502⋥≓≎↹⩛13405=↹⩛151","layer":2},{"info":"↹⩛-1⪟⇏↹⩛151=↹⩛0","layer":1},{"info":"⇐↹⩛0=↹⩛0","layer":0}]} +{"id":707,"expression_no_base_symbol":"(($1714$∑⇟⊟$2219$⫌⩉⩟(≻⋜$3419$))⪡$2197$≌$1029$⨻⩈⩔$4853$∣$1190$)≒∊($5391$⪘⫢$1814$≒∊(⇵⪽$1875$)∝($5692$⫸⇳$1034$)↞⋁($4090$⪶≀⋏$6535$))","expression":"((↹⩛11534∑⇟⊟↹⩛14135⫌⩉⩟(≻⋜↹⩛23455))⪡↹⩛14101≌↹⩛4433⨻⩈⩔↹⩛34245∣↹⩛5302)≒∊(↹⩛40543⪘⫢↹⩛12222≒∊(⇵⪽↹⩛12403)∝(↹⩛42204⫸⇳↹⩛4442)↞⋁(↹⩛30534⪶≀⋏↹⩛50131))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18455,"operation_count":15,"complexity_ratio":1230.3333333333333,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1714,"base":6},"right_expr":{"type":"numeric_atoms","value":2219,"base":6}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3419,"base":6}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2197,"base":6},"right_expr":{"type":"numeric_atoms","value":1029,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4853,"base":6},"right_expr":{"type":"numeric_atoms","value":1190,"base":6}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5391,"base":6},"right_expr":{"type":"numeric_atoms","value":1814,"base":6}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1875,"base":6}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5692,"base":6},"right_expr":{"type":"numeric_atoms","value":1034,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4090,"base":6},"right_expr":{"type":"numeric_atoms","value":6535,"base":6}}}}},"used_operators":["5KTvxBwnZo","oraRL2iQuh","XIIwhv8d0m","U7g4x0WXJJ","3tj9sqzovi","nEsXyWgiOK","lyWz822IDG","PPChnnnBFF","cTDWOvIxvz","oacrs7FA3X","ZGCBLdVRRX","RqrPlJkxDo","gx7XJ7hdpj","zR4jO40bMj"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","U7g4x0WXJJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=2219, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3419","layer":4},{"info":"compute unary expreesion, input=3419, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2197","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=1029, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=4853","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=4853, right_input=1190, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4853","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4853, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2136","layer":1},{"info":"number node, value=5391","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=5391, right_input=1814, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10658","layer":3},{"info":"number node, value=1875","layer":4},{"info":"compute unary expreesion, input=1875, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10658, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=5692","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=5692, right_input=1034, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4090","layer":4},{"info":"number node, value=6535","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=6535, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-25572","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-25572, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2136, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11534∑⇟⊟↹⩛14135⫌⩉⩟(≻⋜↹⩛23455))⪡↹⩛14101≌↹⩛4433⨻⩈⩔↹⩛34245∣↹⩛5302)≒∊(↹⩛40543⪘⫢↹⩛12222≒∊(⇵⪽↹⩛12403)∝(↹⩛42204⫸⇳↹⩛4442)↞⋁(↹⩛30534⪶≀⋏↹⩛50131))=NaN","reverse_text":"NaN=((↹⩛11534∑⇟⊟↹⩛14135⫌⩉⩟(≻⋜↹⩛23455))⪡↹⩛14101≌↹⩛4433⨻⩈⩔↹⩛34245∣↹⩛5302)≒∊(↹⩛40543⪘⫢↹⩛12222≒∊(⇵⪽↹⩛12403)∝(↹⩛42204⫸⇳↹⩛4442)↞⋁(↹⩛30534⪶≀⋏↹⩛50131))","cot":[{"info":"↹⩛11534∑⇟⊟↹⩛14135=NaN","layer":3},{"info":"≻⋜↹⩛23455=NaN","layer":3},{"info":"NaN⫌⩉⩟NaN=↹⩛-122","layer":2},{"info":"↹⩛14101≌↹⩛4433=NaN","layer":3},{"info":"↹⩛34245∣↹⩛5302=↹⩛34245","layer":3},{"info":"NaN⨻⩈⩔↹⩛34245=NaN","layer":2},{"info":"↹⩛-122⪡NaN=↹⩛-13520","layer":1},{"info":"↹⩛40543⪘⫢↹⩛12222=↹⩛121202","layer":3},{"info":"⇵⪽↹⩛12403=NaN","layer":3},{"info":"↹⩛121202≒∊NaN=NaN","layer":2},{"info":"↹⩛42204⫸⇳↹⩛4442=↹⩛0","layer":3},{"info":"↹⩛30534⪶≀⋏↹⩛50131=↹⩛-314220","layer":3},{"info":"↹⩛0↞⋁↹⩛-314220=↹⩛0","layer":2},{"info":"NaN∝↹⩛0=NaN","layer":1},{"info":"↹⩛-13520≒∊NaN=NaN","layer":0}]} +{"id":708,"expression_no_base_symbol":"((⋃$2062$)⩣⫁∢($1134$⋭≵$1513$))⪎↠(⩎⋉$1341$)⩦$1165$⇂≾⫗$2248$∵≐","expression":"((⋃↹⩛13314)⩣⫁∢(↹⩛5130⋭≵↹⩛11001))⪎↠(⩎⋉↹⩛10113)⩦↹⩛5221⇂≾⫗↹⩛14224∵≐","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":213,"operation_count":8,"complexity_ratio":26.625,"tree":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2062,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1134,"base":6},"right_expr":{"type":"numeric_atoms","value":1513,"base":6}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1341,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1165,"base":6},"right_expr":{"type":"numeric_atoms","value":2248,"base":6}}}}},"used_operators":["59igzFyhWz","3tVxb0NHM4","JDUIKTTSIa","3mBM5G4a3l","jBncVCNhdl","0kmYd0q39Y","FlXk3pOYe8","aBQ6xLxuTc"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","g55IO6H4Gj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛-2321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=4226","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=1513, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5769","layer":3},{"info":"compute binary expreesion, left_input=4226, right_input=5769, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8291","layer":2},{"info":"number node, value=1341","layer":4},{"info":"compute unary expreesion, input=1341, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2248, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-676, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3300","layer":2},{"info":"compute binary expreesion, left_input=-8291, right_input=3300, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-553","layer":0}],"base":6,"result_base":6,"text":"((⋃↹⩛13314)⩣⫁∢(↹⩛5130⋭≵↹⩛11001))⪎↠(⩎⋉↹⩛10113)⩦↹⩛5221⇂≾⫗↹⩛14224∵≐=↹⩛-2321","reverse_text":"↹⩛-2321=((⋃↹⩛13314)⩣⫁∢(↹⩛5130⋭≵↹⩛11001))⪎↠(⩎⋉↹⩛10113)⩦↹⩛5221⇂≾⫗↹⩛14224∵≐","cot":[{"info":"⋃↹⩛13314=↹⩛31322","layer":3},{"info":"↹⩛5130⋭≵↹⩛11001=↹⩛42413","layer":3},{"info":"↹⩛31322⩣⫁∢↹⩛42413=↹⩛-102215","layer":2},{"info":"⩎⋉↹⩛10113=↹⩛11350","layer":3},{"info":"↹⩛5221⇂≾⫗↹⩛14224=↹⩛-3044","layer":3},{"info":"↹⩛11350⩦↹⩛-3044=↹⩛23140","layer":2},{"info":"↹⩛-102215⪎↠↹⩛23140=↹⩛-131","layer":1},{"info":"↹⩛-131∵≐=↹⩛-2321","layer":0}]} +{"id":709,"expression_no_base_symbol":"↔(((⇵⪽$2515$)⇴($3774$⫔⩽⩺$1225$))≚⊃≕(⊖∈$5601$⨭⪣$3394$))","expression":"↔(((⇵⪽↹⩛15351)⇴(↹⩛25250⫔⩽⩺↹⩛5401))≚⊃≕(⊖∈↹⩛41533⨭⪣↹⩛23414))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":160,"operation_count":7,"complexity_ratio":22.857142857142858,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2515,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3774,"base":6},"right_expr":{"type":"numeric_atoms","value":1225,"base":6}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5601,"base":6},"right_expr":{"type":"numeric_atoms","value":3394,"base":6}}}}},"used_operators":["ruOEQAzv1W","Bmrmz2XGnR","4JB6nKBMSY","ZGCBLdVRRX","i9eR4S00cU","YFxL8Sc2Zy","kn8WO9XteQ"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","U7g4x0WXJJ","Tw270M8GLb","fu6greOZ01","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"↹⩛542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2515","layer":4},{"info":"compute unary expreesion, input=2515, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=3774","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=1225, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=5601","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=5601, right_input=3394, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4322","layer":3},{"info":"compute unary expreesion, input=4322, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=80846","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=80846, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=206","layer":0}],"base":6,"result_base":6,"text":"↔(((⇵⪽↹⩛15351)⇴(↹⩛25250⫔⩽⩺↹⩛5401))≚⊃≕(⊖∈↹⩛41533⨭⪣↹⩛23414))=↹⩛542","reverse_text":"↹⩛542=↔(((⇵⪽↹⩛15351)⇴(↹⩛25250⫔⩽⩺↹⩛5401))≚⊃≕(⊖∈↹⩛41533⨭⪣↹⩛23414))","cot":[{"info":"⇵⪽↹⩛15351=NaN","layer":3},{"info":"↹⩛25250⫔⩽⩺↹⩛5401=NaN","layer":3},{"info":"NaN⇴NaN=NaN","layer":2},{"info":"↹⩛41533⨭⪣↹⩛23414=↹⩛32002","layer":3},{"info":"⊖∈↹⩛32002=↹⩛1422142","layer":2},{"info":"NaN≚⊃≕↹⩛1422142=↹⩛151","layer":1},{"info":"↔↹⩛151=↹⩛542","layer":0}]} +{"id":710,"expression_no_base_symbol":"≸≮(($6909$⪕$8107$∝$1878$⪡$6307$)⫢⨠(⇘($1885$↱$2849$)))","expression":"≸≮((↹⩛51553⪕↹⩛101311∝↹⩛12410⪡↹⩛45111)⫢⨠(⇘(↹⩛12421↱↹⩛21105)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16255,"operation_count":7,"complexity_ratio":2322.1428571428573,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6909,"base":6},"right_expr":{"type":"numeric_atoms","value":8107,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1878,"base":6},"right_expr":{"type":"numeric_atoms","value":6307,"base":6}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1885,"base":6},"right_expr":{"type":"numeric_atoms","value":2849,"base":6}}}}},"used_operators":["AljMvE3RRm","xlXykHWxX1","cTDWOvIxvz","umQnsF7QlU","oraRL2iQuh","MGuIdZPyUC","SR5kFfdi6N"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6909","layer":4},{"info":"number node, value=8107","layer":4},{"info":"compute binary expreesion, left_input=6909, right_input=8107, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6612","layer":3},{"info":"number node, value=1878","layer":4},{"info":"number node, value=6307","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=6307, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=6612, right_input=107, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6617","layer":2},{"info":"number node, value=1885","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=2849, 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=-8025","layer":3},{"info":"compute unary expreesion, input=-8025, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=6617, right_input=-inf, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≸≮((↹⩛51553⪕↹⩛101311∝↹⩛12410⪡↹⩛45111)⫢⨠(⇘(↹⩛12421↱↹⩛21105)))=NaN","reverse_text":"NaN=≸≮((↹⩛51553⪕↹⩛101311∝↹⩛12410⪡↹⩛45111)⫢⨠(⇘(↹⩛12421↱↹⩛21105)))","cot":[{"info":"↹⩛51553⪕↹⩛101311=↹⩛50340","layer":3},{"info":"↹⩛12410⪡↹⩛45111=↹⩛255","layer":3},{"info":"↹⩛50340∝↹⩛255=↹⩛50345","layer":2},{"info":"↹⩛12421↱↹⩛21105=↹⩛-101053","layer":3},{"info":"⇘↹⩛-101053=-Inf","layer":2},{"info":"↹⩛50345⫢⨠-Inf=NaN","layer":1},{"info":"≸≮NaN=NaN","layer":0}]} +{"id":711,"expression_no_base_symbol":"((≇⪴($5847$⊉≛↸$1887$))⩇∃⫛($2826$⊱⇼⊻$1256$)⨂≜(⪓⩚$1746$))⊋(+⊝⨔($2089$⇼⇔∾$1667$⩨$4075$⨰$2550$))","expression":"((≇⪴(↹⩛43023⊉≛↸↹⩛12423))⩇∃⫛(↹⩛21030⊱⇼⊻↹⩛5452)⨂≜(⪓⩚↹⩛12030))⊋(+⊝⨔(↹⩛13401⇼⇔∾↹⩛11415⩨↹⩛30511⨰↹⩛15450))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":185670,"operation_count":11,"complexity_ratio":16879.090909090908,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5847,"base":6},"right_expr":{"type":"numeric_atoms","value":1887,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2826,"base":6},"right_expr":{"type":"numeric_atoms","value":1256,"base":6}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1746,"base":6}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2089,"base":6},"right_expr":{"type":"numeric_atoms","value":1667,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4075,"base":6},"right_expr":{"type":"numeric_atoms","value":2550,"base":6}}}}},"used_operators":["W4tP9CfskL","1aApVXNlOP","zoVPnxeHJ3","DZ8iAZOCBD","k1SHOSEABc","FyVja0WsTP","u0R0Locfp2","DhbWaqg5eL","2DlMacCsIx","tifHPKVTfV","eewbuw0ToL"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5847","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=1887, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11694","layer":3},{"info":"compute unary expreesion, input=11694, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-33742","layer":2},{"info":"number node, value=2826","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=1256, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=426, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-33742, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=2089","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=1667, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-422","layer":3},{"info":"number node, value=4075","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=4075, right_input=2550, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1535","layer":3},{"info":"compute binary expreesion, left_input=-422, right_input=1535, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=12","layer":2},{"info":"compute unary expreesion, input=12, 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=nan, right_input=1522, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≇⪴(↹⩛43023⊉≛↸↹⩛12423))⩇∃⫛(↹⩛21030⊱⇼⊻↹⩛5452)⨂≜(⪓⩚↹⩛12030))⊋(+⊝⨔(↹⩛13401⇼⇔∾↹⩛11415⩨↹⩛30511⨰↹⩛15450))=NaN","reverse_text":"NaN=((≇⪴(↹⩛43023⊉≛↸↹⩛12423))⩇∃⫛(↹⩛21030⊱⇼⊻↹⩛5452)⨂≜(⪓⩚↹⩛12030))⊋(+⊝⨔(↹⩛13401⇼⇔∾↹⩛11415⩨↹⩛30511⨰↹⩛15450))","cot":[{"info":"↹⩛43023⊉≛↸↹⩛12423=↹⩛130050","layer":3},{"info":"≇⪴↹⩛130050=↹⩛-420114","layer":2},{"info":"↹⩛21030⊱⇼⊻↹⩛5452=↹⩛2002","layer":3},{"info":"⪓⩚↹⩛12030=↹⩛1550","layer":3},{"info":"↹⩛2002⨂≜↹⩛1550=NaN","layer":2},{"info":"↹⩛-420114⩇∃⫛NaN=NaN","layer":1},{"info":"↹⩛13401⇼⇔∾↹⩛11415=↹⩛-1542","layer":3},{"info":"↹⩛30511⨰↹⩛15450=↹⩛11035","layer":3},{"info":"↹⩛-1542⩨↹⩛11035=↹⩛20","layer":2},{"info":"+⊝⨔↹⩛20=↹⩛11014","layer":1},{"info":"NaN⊋↹⩛11014=NaN","layer":0}]} +{"id":712,"expression_no_base_symbol":"(⊽($5809$⨥⫆$1186$))⨸($2353$⇣⩺⋵$1726$⪒(⊲⪭$5847$))⫉⨲⊜(($4021$⋛$2293$)⋕⪉⪜($1053$∌$1961$)⋝⋈⪟($3046$⨀⨒)⇂≾⫗($1339$⊲⩕⊾$8828$))","expression":"(⊽(↹⩛42521⨥⫆↹⩛5254))⨸(↹⩛14521⇣⩺⋵↹⩛11554⪒(⊲⪭↹⩛43023))⫉⨲⊜((↹⩛30341⋛↹⩛14341)⋕⪉⪜(↹⩛4513∌↹⩛13025)⋝⋈⪟(↹⩛22034⨀⨒)⇂≾⫗(↹⩛10111⊲⩕⊾↹⩛104512))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":6688,"operation_count":14,"complexity_ratio":477.7142857142857,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5809,"base":6},"right_expr":{"type":"numeric_atoms","value":1186,"base":6}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2353,"base":6},"right_expr":{"type":"numeric_atoms","value":1726,"base":6}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":5847,"base":6}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4021,"base":6},"right_expr":{"type":"numeric_atoms","value":2293,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1053,"base":6},"right_expr":{"type":"numeric_atoms","value":1961,"base":6}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":3046,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1339,"base":6},"right_expr":{"type":"numeric_atoms","value":8828,"base":6}}}}},"used_operators":["WhqkvtTD3t","KmoU8R5UQR","QxG7OkqoLX","yXekIHxTD4","f6k1SAg4EE","F4yD0voBRQ","k7HXdKtiEU","2DDjHMKMc0","z6LnFrNh4i","YbUVn0Rbpy","8cLx32lpNA","aBQ6xLxuTc","j6NVkjMzuk","DmTXOeWf9t"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5809","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=5809, right_input=1186, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2248","layer":3},{"info":"compute unary expreesion, input=2248, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6018","layer":2},{"info":"number node, value=2353","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=1726, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5847","layer":4},{"info":"compute unary expreesion, input=5847, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6021","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-6021, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=6281","layer":2},{"info":"compute binary expreesion, left_input=6018, right_input=6281, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=12036","layer":1},{"info":"number node, value=4021","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=2293, 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=-96003","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1961, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1961","layer":3},{"info":"compute binary expreesion, left_input=-96003, right_input=-1961, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=3046","layer":4},{"info":"compute unary expreesion, input=3046, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=39376","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=8828","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=8828, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-106334","layer":3},{"info":"compute binary expreesion, left_input=39376, right_input=-106334, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=-670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=12036, right_input=204, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⊽(↹⩛42521⨥⫆↹⩛5254))⨸(↹⩛14521⇣⩺⋵↹⩛11554⪒(⊲⪭↹⩛43023))⫉⨲⊜((↹⩛30341⋛↹⩛14341)⋕⪉⪜(↹⩛4513∌↹⩛13025)⋝⋈⪟(↹⩛22034⨀⨒)⇂≾⫗(↹⩛10111⊲⩕⊾↹⩛104512))=↹⩛0","reverse_text":"↹⩛0=(⊽(↹⩛42521⨥⫆↹⩛5254))⨸(↹⩛14521⇣⩺⋵↹⩛11554⪒(⊲⪭↹⩛43023))⫉⨲⊜((↹⩛30341⋛↹⩛14341)⋕⪉⪜(↹⩛4513∌↹⩛13025)⋝⋈⪟(↹⩛22034⨀⨒)⇂≾⫗(↹⩛10111⊲⩕⊾↹⩛104512))","cot":[{"info":"↹⩛42521⨥⫆↹⩛5254=↹⩛14224","layer":3},{"info":"⊽↹⩛14224=↹⩛43510","layer":2},{"info":"↹⩛14521⇣⩺⋵↹⩛11554=↹⩛-1112","layer":3},{"info":"⊲⪭↹⩛43023=↹⩛-43513","layer":3},{"info":"↹⩛-1112⪒↹⩛-43513=↹⩛45025","layer":2},{"info":"↹⩛43510⨸↹⩛45025=↹⩛131420","layer":1},{"info":"↹⩛30341⋛↹⩛14341=↹⩛-2020243","layer":3},{"info":"↹⩛4513∌↹⩛13025=↹⩛-13025","layer":3},{"info":"↹⩛-2020243⋕⪉⪜↹⩛-13025=↹⩛540","layer":2},{"info":"↹⩛22034⨀⨒=↹⩛502144","layer":3},{"info":"↹⩛10111⊲⩕⊾↹⩛104512=↹⩛-2140142","layer":3},{"info":"↹⩛502144⇂≾⫗↹⩛-2140142=↹⩛-3034","layer":2},{"info":"↹⩛540⋝⋈⪟↹⩛-3034=↹⩛540","layer":1},{"info":"↹⩛131420⫉⨲⊜↹⩛540=↹⩛0","layer":0}]} +{"id":713,"expression_no_base_symbol":"((⪝⪂⫅$2201$)⪛⫼$1712$↢$2604$)≨($6230$∌$5198$)⫁⪎(↥$3224$)⩌⋺(⋎⨆($3921$≄⊠$2634$)↬$3570$≁$5783$)","expression":"((⪝⪂⫅↹⩛14105)⪛⫼↹⩛11532↢↹⩛20020)≨(↹⩛44502∌↹⩛40022)⫁⪎(↥↹⩛22532)⩌⋺(⋎⨆(↹⩛30053≄⊠↹⩛20110)↬↹⩛24310≁↹⩛42435)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7103,"operation_count":12,"complexity_ratio":591.9166666666666,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2201,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1712,"base":6},"right_expr":{"type":"numeric_atoms","value":2604,"base":6}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6230,"base":6},"right_expr":{"type":"numeric_atoms","value":5198,"base":6}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3224,"base":6}}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3921,"base":6},"right_expr":{"type":"numeric_atoms","value":2634,"base":6}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3570,"base":6},"right_expr":{"type":"numeric_atoms","value":5783,"base":6}}}}},"used_operators":["g7Hmc5v1ko","0KMCeP1Jsh","hyuBjUqXlG","XTarYq4gQB","WR6HLWljOP","xRrnTEsQ6j","8cLx32lpNA","A8NUZmVepG","E64sFOc4tB","B5M0gjZbta","vXNesLlMH1","8N2wDY1A35"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","k8jYdgA6NY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rGHVDoGpnC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"↹⩛-454105113","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2201","layer":4},{"info":"compute unary expreesion, input=2201, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-323547","layer":3},{"info":"number node, value=1712","layer":4},{"info":"number node, value=2604","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=2604, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1228","layer":3},{"info":"compute binary expreesion, left_input=-323547, right_input=1228, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=6230","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=6230, right_input=5198, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5198","layer":3},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute binary expreesion, left_input=-5198, right_input=11, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-5209","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-5209, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-7204","layer":1},{"info":"number node, value=3921","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=3921, right_input=2634, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=46812","layer":3},{"info":"number node, value=3570","layer":4},{"info":"number node, value=5783","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=5783, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=125591","layer":3},{"info":"compute binary expreesion, left_input=46812, right_input=125591, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=-7204, right_input=8320752, 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=-8313669","layer":0}],"base":6,"result_base":6,"text":"((⪝⪂⫅↹⩛14105)⪛⫼↹⩛11532↢↹⩛20020)≨(↹⩛44502∌↹⩛40022)⫁⪎(↥↹⩛22532)⩌⋺(⋎⨆(↹⩛30053≄⊠↹⩛20110)↬↹⩛24310≁↹⩛42435)=↹⩛-454105113","reverse_text":"↹⩛-454105113=((⪝⪂⫅↹⩛14105)⪛⫼↹⩛11532↢↹⩛20020)≨(↹⩛44502∌↹⩛40022)⫁⪎(↥↹⩛22532)⩌⋺(⋎⨆(↹⩛30053≄⊠↹⩛20110)↬↹⩛24310≁↹⩛42435)","cot":[{"info":"⪝⪂⫅↹⩛14105=↹⩛-10533523","layer":3},{"info":"↹⩛11532↢↹⩛20020=↹⩛5404","layer":3},{"info":"↹⩛-10533523⪛⫼↹⩛5404=↹⩛4252","layer":2},{"info":"↹⩛44502∌↹⩛40022=↹⩛-40022","layer":3},{"info":"↥↹⩛22532=↹⩛15","layer":3},{"info":"↹⩛-40022⫁⪎↹⩛15=↹⩛-40041","layer":2},{"info":"↹⩛4252≨↹⩛-40041=↹⩛-53204","layer":1},{"info":"↹⩛30053≄⊠↹⩛20110=↹⩛1000420","layer":3},{"info":"↹⩛24310≁↹⩛42435=↹⩛2405235","layer":3},{"info":"↹⩛1000420↬↹⩛2405235=NaN","layer":2},{"info":"⋎⨆NaN=↹⩛454202000","layer":1},{"info":"↹⩛-53204⩌⋺↹⩛454202000=↹⩛-454105113","layer":0}]} +{"id":714,"expression_no_base_symbol":"⪲⇎($5418$∴$2688$⊬⫿⊭)∛($2408$⨪↰⇹$2070$)⫘($1394$≚⋢)","expression":"⪲⇎(↹⩛41030∴↹⩛20240⊬⫿⊭)∛(↹⩛15052⨪↰⇹↹⩛13330)⫘(↹⩛10242≚⋢)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5244,"operation_count":7,"complexity_ratio":749.1428571428571,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5418,"base":6},"right_expr":{"type":"numeric_atoms","value":2688,"base":6}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2408,"base":6},"right_expr":{"type":"numeric_atoms","value":2070,"base":6}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1394,"base":6}}}}},"used_operators":["XPYlsWDdGa","w2537kitQq","v0DYgG9ikt","hrf7POJlIJ","48vC8HMD2b","tmPS8pqC7x","MahUMFw56D"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rJVOvQCfKK","3ViojmjbAp"],"result":"↹⩛-10132","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5418","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=5418, right_input=2688, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=12484","layer":3},{"info":"compute unary expreesion, input=12484, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-37452","layer":2},{"info":"number node, value=2408","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=2070, 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=2408","layer":3},{"info":"number node, value=1394","layer":4},{"info":"compute unary expreesion, input=1394, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=2408, right_input=-89, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2836213","layer":2},{"info":"compute binary expreesion, left_input=-37452, right_input=2836213, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":1},{"info":"compute unary expreesion, input=-676, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-1352","layer":0}],"base":6,"result_base":6,"text":"⪲⇎(↹⩛41030∴↹⩛20240⊬⫿⊭)∛(↹⩛15052⨪↰⇹↹⩛13330)⫘(↹⩛10242≚⋢)=↹⩛-10132","reverse_text":"↹⩛-10132=⪲⇎(↹⩛41030∴↹⩛20240⊬⫿⊭)∛(↹⩛15052⨪↰⇹↹⩛13330)⫘(↹⩛10242≚⋢)","cot":[{"info":"↹⩛41030∴↹⩛20240=↹⩛133444","layer":3},{"info":"↹⩛133444⊬⫿⊭=↹⩛-445220","layer":2},{"info":"↹⩛15052⨪↰⇹↹⩛13330=↹⩛15052","layer":3},{"info":"↹⩛10242≚⋢=↹⩛-225","layer":3},{"info":"↹⩛15052⫘↹⩛-225=↹⩛140442341","layer":2},{"info":"↹⩛-445220∛↹⩛140442341=↹⩛-3044","layer":1},{"info":"⪲⇎↹⩛-3044=↹⩛-10132","layer":0}]} +{"id":715,"expression_no_base_symbol":"($1852$≃$2157$⫸⊐$1833$⊉↱≁$4060$⋻⩜⩜(-$1809$⊉↱≁$1958$))⨲","expression":"(↹⩛12324≃↹⩛13553⫸⊐↹⩛12253⊉↱≁↹⩛30444⋻⩜⩜(-↹⩛12213⊉↱≁↹⩛13022))⨲","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":380234,"operation_count":7,"complexity_ratio":54319.142857142855,"tree":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1852,"base":6},"right_expr":{"type":"numeric_atoms","value":2157,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1833,"base":6},"right_expr":{"type":"numeric_atoms","value":4060,"base":6}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1809,"base":6},"right_expr":{"type":"numeric_atoms","value":1958,"base":6}}}}},"used_operators":["nLYMGWM7L8","oDCm7WA9JY","mqXw5SEYmG","YbVcJGFEVW","w2P8NbNXyL","t8gj7n24qd"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛53514510421","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1852","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=2157, 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=-7448","layer":3},{"info":"number node, value=1833","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=4060, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-7144","layer":3},{"info":"compute binary expreesion, left_input=-7448, right_input=-7144, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1809","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1958, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=6290","layer":3},{"info":"compute unary expreesion, input=6290, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6290","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-6290, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1936","layer":1},{"info":"compute unary expreesion, input=1936, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=341468941","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12324≃↹⩛13553⫸⊐↹⩛12253⊉↱≁↹⩛30444⋻⩜⩜(-↹⩛12213⊉↱≁↹⩛13022))⨲=↹⩛53514510421","reverse_text":"↹⩛53514510421=(↹⩛12324≃↹⩛13553⫸⊐↹⩛12253⊉↱≁↹⩛30444⋻⩜⩜(-↹⩛12213⊉↱≁↹⩛13022))⨲","cot":[{"info":"↹⩛12324≃↹⩛13553=↹⩛-54252","layer":3},{"info":"↹⩛12253⊉↱≁↹⩛30444=↹⩛-53024","layer":3},{"info":"↹⩛-54252⫸⊐↹⩛-53024=↹⩛4252","layer":2},{"info":"↹⩛12213⊉↱≁↹⩛13022=↹⩛45042","layer":3},{"info":"-↹⩛45042=↹⩛-45042","layer":2},{"info":"↹⩛4252⋻⩜⩜↹⩛-45042=↹⩛12544","layer":1},{"info":"↹⩛12544⨲=↹⩛53514510421","layer":0}]} +{"id":716,"expression_no_base_symbol":"(⋂(⨭⩧⫛$2406$)⪔⊥($1388$/$2500$))⪭≯($4268$⇤$1960$⨎(⇠$2385$)⨸⪁($1674$⫠)⫗⊷⫓($1678$⨿$7113$))","expression":"(⋂(⨭⩧⫛↹⩛15050)⪔⊥(↹⩛10232/↹⩛15324))⪭≯(↹⩛31432⇤↹⩛13024⨎(⇠↹⩛15013)⨸⪁(↹⩛11430⫠)⫗⊷⫓(↹⩛11434⨿↹⩛52533))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":272550,"operation_count":12,"complexity_ratio":22712.5,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2406,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1388,"base":6},"right_expr":{"type":"numeric_atoms","value":2500,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4268,"base":6},"right_expr":{"type":"numeric_atoms","value":1960,"base":6}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2385,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1674,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1678,"base":6},"right_expr":{"type":"numeric_atoms","value":7113,"base":6}}}}},"used_operators":["XAx5wpdLa6","BUOGQAYlQx","HJ9erzHUuu","g21JL6JxX7","XhwjNDsVaA","g55IO6H4Gj","rJVOvQCfKK","YSKBFp38Pu","18saOjeKKm","zashukvMKz","6SnOT2rOjz","abYXlopdE0"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2406","layer":4},{"info":"compute unary expreesion, input=2406, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1388","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=2500, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":1},{"info":"number node, value=4268","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=4268, right_input=1960, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28292","layer":3},{"info":"number node, value=2385","layer":4},{"info":"compute unary expreesion, input=2385, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2143","layer":3},{"info":"compute binary expreesion, left_input=-28292, right_input=-2143, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2143","layer":2},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=7113","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=7113, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-2143, right_input=-134, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4554","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4554, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋂(⨭⩧⫛↹⩛15050)⪔⊥(↹⩛10232/↹⩛15324))⪭≯(↹⩛31432⇤↹⩛13024⨎(⇠↹⩛15013)⨸⪁(↹⩛11430⫠)⫗⊷⫓(↹⩛11434⨿↹⩛52533))=NaN","reverse_text":"NaN=(⋂(⨭⩧⫛↹⩛15050)⪔⊥(↹⩛10232/↹⩛15324))⪭≯(↹⩛31432⇤↹⩛13024⨎(⇠↹⩛15013)⨸⪁(↹⩛11430⫠)⫗⊷⫓(↹⩛11434⨿↹⩛52533))","cot":[{"info":"⨭⩧⫛↹⩛15050=NaN","layer":3},{"info":"↹⩛10232/↹⩛15324=↹⩛0","layer":3},{"info":"NaN⪔⊥↹⩛0=NaN","layer":2},{"info":"⋂NaN=NaN","layer":1},{"info":"↹⩛31432⇤↹⩛13024=↹⩛-334552","layer":3},{"info":"⇠↹⩛15013=↹⩛-13531","layer":3},{"info":"↹⩛-334552⨎↹⩛-13531=↹⩛-13531","layer":2},{"info":"↹⩛11430⫠=↹⩛0","layer":3},{"info":"↹⩛11434⨿↹⩛52533=↹⩛-1251","layer":3},{"info":"↹⩛0⫗⊷⫓↹⩛-1251=↹⩛-342","layer":2},{"info":"↹⩛-13531⨸⪁↹⩛-342=↹⩛-33030","layer":1},{"info":"NaN⪭≯↹⩛-33030=NaN","layer":0}]} +{"id":717,"expression_no_base_symbol":"⊈(((⨂⪏⇭$2311$)⪛⫼($5901$∽$1357$))⨘)","expression":"⊈(((⨂⪏⇭↹⩛14411)⪛⫼(↹⩛43153∽↹⩛10141))⨘)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1928,"operation_count":5,"complexity_ratio":385.6,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2311,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5901,"base":6},"right_expr":{"type":"numeric_atoms","value":1357,"base":6}}}}},"used_operators":["RHru8klgy8","ljcfZBUpm8","hyuBjUqXlG","AYdpE9sXAk","y4ImoPnbV5"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","NTOWxs364D","QMFrweE19q"],"result":"↹⩛133132","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5954","layer":3},{"info":"number node, value=5901","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=5901, right_input=1357, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33398","layer":3},{"info":"compute binary expreesion, left_input=5954, right_input=-33398, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1681","layer":2},{"info":"compute unary expreesion, input=-1681, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-12542","layer":1},{"info":"compute unary expreesion, input=-12542, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=12368","layer":0}],"base":6,"result_base":6,"text":"⊈(((⨂⪏⇭↹⩛14411)⪛⫼(↹⩛43153∽↹⩛10141))⨘)=↹⩛133132","reverse_text":"↹⩛133132=⊈(((⨂⪏⇭↹⩛14411)⪛⫼(↹⩛43153∽↹⩛10141))⨘)","cot":[{"info":"⨂⪏⇭↹⩛14411=↹⩛43322","layer":3},{"info":"↹⩛43153∽↹⩛10141=↹⩛-414342","layer":3},{"info":"↹⩛43322⪛⫼↹⩛-414342=↹⩛-11441","layer":2},{"info":"↹⩛-11441⨘=↹⩛-134022","layer":1},{"info":"⊈↹⩛-134022=↹⩛133132","layer":0}]} +{"id":718,"expression_no_base_symbol":"((($5558$↱$1497$)⫥∨⫟(↓⇌$1688$))⇣⩺⋵($2763$%$3008$)⩇∃⫛($6381$⋻⩜⩜$3524$))⨿((∟⋨$1881$)∠↢$5491$⇣⩺⋵$2510$⩨($1154$⩧⪆$2942$)⪭(⋃$2294$))","expression":"(((↹⩛41422↱↹⩛10533)⫥∨⫟(↓⇌↹⩛11452))⇣⩺⋵(↹⩛20443%↹⩛21532)⩇∃⫛(↹⩛45313⋻⩜⩜↹⩛24152))⨿((∟⋨↹⩛12413)∠↢↹⩛41231⇣⩺⋵↹⩛15342⩨(↹⩛5202⩧⪆↹⩛21342)⪭(⋃↹⩛14342))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":52759,"operation_count":15,"complexity_ratio":3517.266666666667,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5558,"base":6},"right_expr":{"type":"numeric_atoms","value":1497,"base":6}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1688,"base":6}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2763,"base":6},"right_expr":{"type":"numeric_atoms","value":3008,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6381,"base":6},"right_expr":{"type":"numeric_atoms","value":3524,"base":6}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1881,"base":6}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5491,"base":6},"right_expr":{"type":"numeric_atoms","value":2510,"base":6}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1154,"base":6},"right_expr":{"type":"numeric_atoms","value":2942,"base":6}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2294,"base":6}}}}},"used_operators":["abYXlopdE0","F4yD0voBRQ","KYD54nUTWz","SR5kFfdi6N","PxpmPgHHJV","1aApVXNlOP","k8jYdgA6NY","oDCm7WA9JY","2DlMacCsIx","KbjG8mgYpV","ctOc4cKSDt","j9kHMeSvPp","Ikt5ks8PT7","3mBM5G4a3l"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","COABgblf1C","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","g55IO6H4Gj"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5558","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=5558, right_input=1497, 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=-3969","layer":3},{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1688","layer":3},{"info":"compute binary expreesion, left_input=-3969, right_input=1688, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2763","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=3008, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2763","layer":3},{"info":"number node, value=6381","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=3524, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12762","layer":3},{"info":"compute binary expreesion, left_input=2763, right_input=12762, 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=10472","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10472, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1397","layer":3},{"info":"number node, value=5491","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=5491, right_input=2510, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-1397, right_input=-260, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=10310","layer":2},{"info":"number node, value=1154","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2942, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2942","layer":3},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=4690","layer":3},{"info":"compute binary expreesion, left_input=-2942, right_input=4690, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=2768","layer":2},{"info":"compute binary expreesion, left_input=10310, right_input=2768, 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=-260, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛41422↱↹⩛10533)⫥∨⫟(↓⇌↹⩛11452))⇣⩺⋵(↹⩛20443%↹⩛21532)⩇∃⫛(↹⩛45313⋻⩜⩜↹⩛24152))⨿((∟⋨↹⩛12413)∠↢↹⩛41231⇣⩺⋵↹⩛15342⩨(↹⩛5202⩧⪆↹⩛21342)⪭(⋃↹⩛14342))=↹⩛151","reverse_text":"↹⩛151=(((↹⩛41422↱↹⩛10533)⫥∨⫟(↓⇌↹⩛11452))⇣⩺⋵(↹⩛20443%↹⩛21532)⩇∃⫛(↹⩛45313⋻⩜⩜↹⩛24152))⨿((∟⋨↹⩛12413)∠↢↹⩛41231⇣⩺⋵↹⩛15342⩨(↹⩛5202⩧⪆↹⩛21342)⪭(⋃↹⩛14342))","cot":[{"info":"↹⩛41422↱↹⩛10533=↹⩛-30213","layer":3},{"info":"↓⇌↹⩛11452=↹⩛11452","layer":3},{"info":"↹⩛-30213⫥∨⫟↹⩛11452=NaN","layer":2},{"info":"↹⩛20443%↹⩛21532=↹⩛20443","layer":3},{"info":"↹⩛45313⋻⩜⩜↹⩛24152=↹⩛135030","layer":3},{"info":"↹⩛20443⩇∃⫛↹⩛135030=↹⩛120252","layer":2},{"info":"NaN⇣⩺⋵↹⩛120252=↹⩛-1112","layer":1},{"info":"∟⋨↹⩛12413=↹⩛-10245","layer":3},{"info":"↹⩛41231⇣⩺⋵↹⩛15342=↹⩛-1112","layer":3},{"info":"↹⩛-10245∠↢↹⩛-1112=↹⩛115422","layer":2},{"info":"↹⩛5202⩧⪆↹⩛21342=↹⩛-21342","layer":3},{"info":"⋃↹⩛14342=↹⩛33414","layer":3},{"info":"↹⩛-21342⪭↹⩛33414=↹⩛20452","layer":2},{"info":"↹⩛115422⩨↹⩛20452=↹⩛0","layer":1},{"info":"↹⩛-1112⨿↹⩛0=↹⩛151","layer":0}]} +{"id":719,"expression_no_base_symbol":"($7337$↤⩊$5977$↢($1816$⪭$1412$)⫸⇳(($2536$⫸⇳$3290$)∧))⫻⋑⊟","expression":"(↹⩛53545↤⩊↹⩛43401↢(↹⩛12224⪭↹⩛10312)⫸⇳((↹⩛15424⫸⇳↹⩛23122)∧))⫻⋑⊟","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":236,"operation_count":7,"complexity_ratio":33.714285714285715,"tree":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":7337,"base":6},"right_expr":{"type":"numeric_atoms","value":5977,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1816,"base":6},"right_expr":{"type":"numeric_atoms","value":1412,"base":6}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2536,"base":6},"right_expr":{"type":"numeric_atoms","value":3290,"base":6}}}}},"used_operators":["o575Zjdmzy","gx7XJ7hdpj","WR6HLWljOP","13rbtpv6ld","j9kHMeSvPp","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7337","layer":4},{"info":"number node, value=5977","layer":4},{"info":"compute binary expreesion, left_input=7337, right_input=5977, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1412, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"number node, value=2536","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=3290, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛53545↤⩊↹⩛43401↢(↹⩛12224⪭↹⩛10312)⫸⇳((↹⩛15424⫸⇳↹⩛23122)∧))⫻⋑⊟=NaN","reverse_text":"NaN=(↹⩛53545↤⩊↹⩛43401↢(↹⩛12224⪭↹⩛10312)⫸⇳((↹⩛15424⫸⇳↹⩛23122)∧))⫻⋑⊟","cot":[{"info":"↹⩛53545↤⩊↹⩛43401=NaN","layer":3},{"info":"↹⩛12224⪭↹⩛10312=↹⩛5","layer":3},{"info":"NaN↢↹⩛5=NaN","layer":2},{"info":"↹⩛15424⫸⇳↹⩛23122=↹⩛0","layer":3},{"info":"↹⩛0∧=↹⩛0","layer":2},{"info":"NaN⫸⇳↹⩛0=NaN","layer":1},{"info":"NaN⫻⋑⊟=NaN","layer":0}]} +{"id":720,"expression_no_base_symbol":"(($1074$⨲)⪡($4863$⫔⩽⩺$1860$))∌↝(($2198$⩢≌)↯⫤)⫔⩽⩺(⊑$1695$≹⇙⪍$2907$⪚(⊊≼∋$1178$))","expression":"((↹⩛4550⨲)⪡(↹⩛34303⫔⩽⩺↹⩛12340))∌↝((↹⩛14102⩢≌)↯⫤)⫔⩽⩺(⊑↹⩛11503≹⇙⪍↹⩛21243⪚(⊊≼∋↹⩛5242))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":202702,"operation_count":11,"complexity_ratio":18427.454545454544,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1074,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4863,"base":6},"right_expr":{"type":"numeric_atoms","value":1860,"base":6}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2198,"base":6}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1695,"base":6},"right_expr":{"type":"numeric_atoms","value":2907,"base":6}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1178,"base":6}}}}},"used_operators":["i9eR4S00cU","9Isq31Ruls","oraRL2iQuh","nLYMGWM7L8","VwlE7vj6HS","D617RFjZIq","IkUmn0D7oy","HrjLwUk87U","AHs5Up7iyr","FWz7pXsQhA"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","hTbEZDJLEm","o20kRiQErp","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","dWAJyo7jo9","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=187384717","layer":3},{"info":"number node, value=4863","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=4863, right_input=1860, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=187384717, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"number node, value=2198","layer":4},{"info":"compute unary expreesion, input=2198, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"number node, value=1695","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=2907, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4550⨲)⪡(↹⩛34303⫔⩽⩺↹⩛12340))∌↝((↹⩛14102⩢≌)↯⫤)⫔⩽⩺(⊑↹⩛11503≹⇙⪍↹⩛21243⪚(⊊≼∋↹⩛5242))=NaN","reverse_text":"NaN=((↹⩛4550⨲)⪡(↹⩛34303⫔⩽⩺↹⩛12340))∌↝((↹⩛14102⩢≌)↯⫤)⫔⩽⩺(⊑↹⩛11503≹⇙⪍↹⩛21243⪚(⊊≼∋↹⩛5242))","cot":[{"info":"↹⩛4550⨲=↹⩛30332145501","layer":3},{"info":"↹⩛34303⫔⩽⩺↹⩛12340=NaN","layer":3},{"info":"↹⩛30332145501⪡NaN=NaN","layer":2},{"info":"↹⩛14102⩢≌=↹⩛305","layer":3},{"info":"↹⩛305↯⫤=↹⩛0","layer":2},{"info":"NaN∌↝↹⩛0=NaN","layer":1},{"info":"↹⩛11503≹⇙⪍↹⩛21243=NaN","layer":3},{"info":"⊊≼∋↹⩛5242=↹⩛-2023","layer":3},{"info":"NaN⪚↹⩛-2023=NaN","layer":2},{"info":"⊑NaN=↹⩛520","layer":1},{"info":"NaN⫔⩽⩺↹⩛520=NaN","layer":0}]} +{"id":721,"expression_no_base_symbol":"$6852$⇤$1205$⪪($1010$⪭$2138$)⨚⇆(∥⊫$7956$)⋛$3102$⨑⩅≇$5749$⪇≇⋚(($1381$∷$1253$)⋓$1810$≨$2423$)⇴($3026$⇟⨁⪰)⩼⇪↪(⫟$5452$)","expression":"↹⩛51420⇤↹⩛5325⪪(↹⩛4402⪭↹⩛13522)⨚⇆(∥⊫↹⩛100500)⋛↹⩛22210⨑⩅≇↹⩛42341⪇≇⋚((↹⩛10221∷↹⩛5445)⋓↹⩛12214≨↹⩛15115)⇴(↹⩛22002⇟⨁⪰)⩼⇪↪(⫟↹⩛41124)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":49882,"operation_count":15,"complexity_ratio":3325.4666666666667,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6852,"base":6},"right_expr":{"type":"numeric_atoms","value":1205,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1010,"base":6},"right_expr":{"type":"numeric_atoms","value":2138,"base":6}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7956,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3102,"base":6},"right_expr":{"type":"numeric_atoms","value":5749,"base":6}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1381,"base":6},"right_expr":{"type":"numeric_atoms","value":1253,"base":6}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1810,"base":6},"right_expr":{"type":"numeric_atoms","value":2423,"base":6}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3026,"base":6}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5452,"base":6}}}}},"used_operators":["3sJ7IOPOlU","lwHaAYXP2r","xD69zh8xqp","YSKBFp38Pu","j9kHMeSvPp","YbUVn0Rbpy","P8v4zCKN1o","h92wMvzauj","4JB6nKBMSY","T2fj7uvVaJ","D3AQDKkPcf","0KMCeP1Jsh","ocnLzx9CaJ","BX1lVwlMe0","z4E1FaHLuy"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","COABgblf1C","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","NTOWxs364D","7j4O788W3g","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6852","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=1205, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-37437","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2138, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-37437, right_input=5, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=7956","layer":4},{"info":"compute unary expreesion, input=7956, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8824","layer":3},{"info":"number node, value=3102","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=5749, 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=-9306","layer":3},{"info":"compute binary expreesion, left_input=8824, right_input=-9306, 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=-27273","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=-27273, 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=1381","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1253, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1253","layer":3},{"info":"number node, value=1810","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=2423, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘��(⩦⩻⨪a))) }', output=-15624","layer":3},{"info":"compute binary expreesion, left_input=1253, right_input=-15624, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3200","layer":3},{"info":"number node, value=5452","layer":4},{"info":"compute unary expreesion, input=5452, 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=-15449","layer":3},{"info":"compute binary expreesion, left_input=-3200, right_input=-15449, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=100960","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=100960, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=201534","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=201534, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛51420⇤↹⩛5325⪪(↹⩛4402⪭↹⩛13522)⨚⇆(∥⊫↹⩛100500)⋛↹⩛22210⨑⩅≇↹⩛42341⪇≇⋚((↹⩛10221∷↹⩛5445)⋓↹⩛12214≨↹⩛15115)⇴(↹⩛22002⇟⨁⪰)⩼⇪↪(⫟↹⩛41124)=NaN","reverse_text":"NaN=↹⩛51420⇤↹⩛5325⪪(↹⩛4402⪭↹⩛13522)⨚⇆(∥⊫↹⩛100500)⋛↹⩛22210⨑⩅≇↹⩛42341⪇≇⋚((↹⩛10221∷↹⩛5445)⋓↹⩛12214≨↹⩛15115)⇴(↹⩛22002⇟⨁⪰)⩼⇪↪(⫟↹⩛41124)","cot":[{"info":"↹⩛51420⇤↹⩛5325=↹⩛-445153","layer":3},{"info":"↹⩛4402⪭↹⩛13522=↹⩛5","layer":3},{"info":"↹⩛-445153⪪↹⩛5=↹⩛-44422","layer":2},{"info":"∥⊫↹⩛100500=↹⩛104504","layer":3},{"info":"↹⩛22210⨑⩅≇↹⩛42341=↹⩛-111030","layer":3},{"info":"↹⩛104504⋛↹⩛-111030=↹⩛-330133","layer":2},{"info":"↹⩛-44422⨚⇆↹⩛-330133=NaN","layer":1},{"info":"↹⩛10221∷↹⩛5445=↹⩛5445","layer":3},{"info":"↹⩛12214≨↹⩛15115=↹⩛-200200","layer":3},{"info":"↹⩛5445⋓↹⩛-200200=↹⩛0","layer":2},{"info":"↹⩛22002⇟⨁⪰=↹⩛-22452","layer":3},{"info":"⫟↹⩛41124=↹⩛-155305","layer":3},{"info":"↹⩛-22452⩼⇪↪↹⩛-155305=↹⩛2055224","layer":2},{"info":"↹⩛0⇴↹⩛2055224=↹⩛4153010","layer":1},{"info":"NaN⪇≇⋚↹⩛4153010=NaN","layer":0}]} +{"id":722,"expression_no_base_symbol":"(⫛⫱⨽$2264$⫞⩸⩒$3470$)⪕(⊀$1039$)⨔⇊($3947$↼⊘⨖$1613$)⨵⪆($3944$⇣⩺⋵$3780$⨸⪁(⊗$5906$))⪪(⨵$7631$)⊬⨰$8099$↳∿⪆$6670$","expression":"(⫛⫱⨽↹⩛14252⫞⩸⩒↹⩛24022)⪕(⊀↹⩛4451)⨔⇊(↹⩛30135↼⊘⨖↹⩛11245)⨵⪆(↹⩛30132⇣⩺⋵↹⩛25300⨸⪁(⊗↹⩛43202))⪪(⨵↹⩛55155)⊬⨰↹⩛101255↳∿⪆↹⩛50514","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4466,"operation_count":14,"complexity_ratio":319.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2264,"base":6},"right_expr":{"type":"numeric_atoms","value":3470,"base":6}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1039,"base":6}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3947,"base":6},"right_expr":{"type":"numeric_atoms","value":1613,"base":6}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3944,"base":6},"right_expr":{"type":"numeric_atoms","value":3780,"base":6}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":5906,"base":6}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":7631,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":8099,"base":6},"right_expr":{"type":"numeric_atoms","value":6670,"base":6}}}}},"used_operators":["2DQ55sFlQl","umQnsF7QlU","DlLNRPXxWL","XGcMNugi78","JclMnS0uGI","oPMjh9089D","bPywburJMS","xD69zh8xqp","g55IO6H4Gj","F4yD0voBRQ","RhiyfpczSx","s3Fd5m9Dh2","Tl3Y52tvF8","Cw4SuJJGHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2264","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=3470, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3470","layer":3},{"info":"compute unary expreesion, input=3470, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=3894","layer":3},{"info":"number node, value=3947","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=3947, right_input=1613, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3004","layer":3},{"info":"compute binary expreesion, left_input=3894, right_input=3004, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3004","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3004, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=3944","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=3780, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5906","layer":4},{"info":"compute unary expreesion, input=5906, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-11812","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-11812, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-24144","layer":2},{"info":"number node, value=7631","layer":4},{"info":"compute unary expreesion, input=7631, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-62257","layer":3},{"info":"number node, value=8099","layer":4},{"info":"number node, value=6670","layer":4},{"info":"compute binary expreesion, left_input=8099, right_input=6670, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-62257, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24144, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=-6206, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⫛⫱⨽↹⩛14252⫞⩸⩒↹⩛24022)⪕(⊀↹⩛4451)⨔⇊(↹⩛30135↼⊘⨖↹⩛11245)⨵⪆(↹⩛30132⇣⩺⋵↹⩛25300⨸⪁(⊗↹⩛43202))⪪(⨵↹⩛55155)⊬⨰↹⩛101255↳∿⪆↹⩛50514=↹⩛424","reverse_text":"↹⩛424=(⫛⫱⨽↹⩛14252⫞⩸⩒↹⩛24022)⪕(⊀↹⩛4451)⨔⇊(↹⩛30135↼⊘⨖↹⩛11245)⨵⪆(↹⩛30132⇣⩺⋵↹⩛25300⨸⪁(⊗↹⩛43202))⪪(⨵↹⩛55155)⊬⨰↹⩛101255↳∿⪆↹⩛50514","cot":[{"info":"↹⩛14252⫞⩸⩒↹⩛24022=↹⩛24022","layer":3},{"info":"⫛⫱⨽↹⩛24022=↹⩛0","layer":2},{"info":"⊀↹⩛4451=↹⩛30010","layer":3},{"info":"↹⩛30135↼⊘⨖↹⩛11245=↹⩛21524","layer":3},{"info":"↹⩛30010⨔⇊↹⩛21524=↹⩛21524","layer":2},{"info":"↹⩛0⪕↹⩛21524=↹⩛-131","layer":1},{"info":"↹⩛30132⇣⩺⋵↹⩛25300=↹⩛-1112","layer":3},{"info":"⊗↹⩛43202=↹⩛-130404","layer":3},{"info":"↹⩛-1112⨸⪁↹⩛-130404=↹⩛-303440","layer":2},{"info":"⨵↹⩛55155=↹⩛-1200121","layer":3},{"info":"↹⩛101255↳∿⪆↹⩛50514=NaN","layer":3},{"info":"↹⩛-1200121⊬⨰NaN=NaN","layer":2},{"info":"↹⩛-303440⪪NaN=↹⩛-44422","layer":1},{"info":"↹⩛-131⨵⪆↹⩛-44422=↹⩛424","layer":0}]} +{"id":723,"expression_no_base_symbol":"⩰(⨛($1761$⫉⨲⊜$2748$)≴⪞⇿(⨴⫝$1739$))","expression":"⩰(⨛(↹⩛12053⫉⨲⊜↹⩛20420)≴⪞⇿(⨴⫝↹⩛12015))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2807,"operation_count":5,"complexity_ratio":561.4,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1761,"base":6},"right_expr":{"type":"numeric_atoms","value":2748,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1739,"base":6}}}}},"used_operators":["WkeUrDK8WX","CoMdbyAt7R","lvlrscuwVU","WhqkvtTD3t","SVb2v531z1"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"↹⩛-4344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=2748, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2828198, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4500","layer":2},{"info":"compute unary expreesion, input=-4500, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1000","layer":0}],"base":6,"result_base":6,"text":"⩰(⨛(↹⩛12053⫉⨲⊜↹⩛20420)≴⪞⇿(⨴⫝↹⩛12015))=↹⩛-4344","reverse_text":"↹⩛-4344=⩰(⨛(↹⩛12053⫉⨲⊜↹⩛20420)≴⪞⇿(⨴⫝↹⩛12015))","cot":[{"info":"↹⩛12053⫉⨲⊜↹⩛20420=↹⩛0","layer":3},{"info":"⨴⫝↹⩛12015=↹⩛140341302","layer":3},{"info":"↹⩛0≴⪞⇿↹⩛140341302=↹⩛-32500","layer":2},{"info":"⨛↹⩛-32500=↹⩛0","layer":1},{"info":"⩰↹⩛0=↹⩛-4344","layer":0}]} +{"id":724,"expression_no_base_symbol":"((∟⋨$4064$)⪍↜⋙(⨴⫝$7233$)⪃↞⩐)⩌⋺((($1297$⫸⊐$3204$)⨚⇆($1597$⫥∨⫟$4372$))⨫⇇↔$1652$⩖⊿$5629$⊬⨰($1036$⩠))","expression":"((∟⋨↹⩛30452)⪍↜⋙(⨴⫝↹⩛53253)⪃↞⩐)⩌⋺(((↹⩛10001⫸⊐↹⩛22500)⨚⇆(↹⩛11221⫥∨⫟↹⩛32124))⨫⇇↔↹⩛11352⩖⊿↹⩛42021⊬⨰(↹⩛4444⩠))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6958,"operation_count":12,"complexity_ratio":579.8333333333334,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4064,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":7233,"base":6}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1297,"base":6},"right_expr":{"type":"numeric_atoms","value":3204,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1597,"base":6},"right_expr":{"type":"numeric_atoms","value":4372,"base":6}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1652,"base":6},"right_expr":{"type":"numeric_atoms","value":5629,"base":6}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1036,"base":6}}}}},"used_operators":["g7Hmc5v1ko","grXIztHqDa","L05ObWFQCd","ctOc4cKSDt","SVb2v531z1","LXhwmt4mBO","lwHaAYXP2r","mqXw5SEYmG","KYD54nUTWz","s3Fd5m9Dh2","RZ5CV9rWsJ","sJAwomhLZr"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4064","layer":4},{"info":"compute unary expreesion, input=4064, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3580","layer":3},{"info":"number node, value=7233","layer":4},{"info":"compute unary expreesion, input=7233, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=-3580, right_input=2828198, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-5639279","layer":2},{"info":"compute unary expreesion, input=-5639279, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":1},{"info":"number node, value=1297","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=3204, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12691","layer":3},{"info":"number node, value=1597","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=4372, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12691, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"number node, value=1652","layer":4},{"info":"number node, value=5629","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=5629, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=38342","layer":3},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=38342, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=37286","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=37286, 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 = 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":6,"result_base":6,"text":"((∟⋨↹⩛30452)⪍↜⋙(⨴⫝↹⩛53253)⪃↞⩐)⩌⋺(((↹⩛10001⫸⊐↹⩛22500)⨚⇆(↹⩛11221⫥∨⫟↹⩛32124))⨫⇇↔↹⩛11352⩖⊿↹⩛42021⊬⨰(↹⩛4444⩠))=NaN","reverse_text":"NaN=((∟⋨↹⩛30452)⪍↜⋙(⨴⫝↹⩛53253)⪃↞⩐)⩌⋺(((↹⩛10001⫸⊐↹⩛22500)⨚⇆(↹⩛11221⫥∨⫟↹⩛32124))⨫⇇↔↹⩛11352⩖⊿↹⩛42021⊬⨰(↹⩛4444⩠))","cot":[{"info":"∟⋨↹⩛30452=↹⩛-24324","layer":3},{"info":"⨴⫝↹⩛53253=↹⩛140341302","layer":3},{"info":"↹⩛-24324⪍↜⋙↹⩛140341302=↹⩛-320511435","layer":2},{"info":"↹⩛-320511435⪃↞⩐=NaN","layer":1},{"info":"↹⩛10001⫸⊐↹⩛22500=↹⩛134431","layer":3},{"info":"↹⩛11221⫥∨⫟↹⩛32124=NaN","layer":3},{"info":"↹⩛134431⨚⇆NaN=-Inf","layer":2},{"info":"↹⩛11352⩖⊿↹⩛42021=↹⩛453302","layer":3},{"info":"↹⩛4444⩠=↹⩛0","layer":3},{"info":"↹⩛453302⊬⨰↹⩛0=↹⩛444342","layer":2},{"info":"-Inf⨫⇇↔↹⩛444342=↹⩛-2235","layer":1},{"info":"NaN⩌⋺↹⩛-2235=NaN","layer":0}]} +{"id":725,"expression_no_base_symbol":"⇐((⫖→($1305$⩨$2788$))⪒(↔$1142$)⊹∫⫚($4025$���$1946$))","expression":"⇐((⫖→(↹⩛10013⩨↹⩛20524))⪒(↔↹⩛5142)⊹∫⫚(↹⩛30345∷↹⩛13002))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":283,"operation_count":7,"complexity_ratio":40.42857142857143,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1305,"base":6},"right_expr":{"type":"numeric_atoms","value":2788,"base":6}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1142,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4025,"base":6},"right_expr":{"type":"numeric_atoms","value":1946,"base":6}}}}},"used_operators":["nmZMaaE0Q9","f6k1SAg4EE","U4ylXWHChL","2DlMacCsIx","uWAJUKEvyW","ruOEQAzv1W","D3AQDKkPcf"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"↹⩛-10212","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=2788, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-869","layer":3},{"info":"number node, value=4025","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=4025, right_input=1946, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1946","layer":3},{"info":"compute binary expreesion, left_input=-869, right_input=1946, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-136","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-136, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-41","layer":1},{"info":"compute unary expreesion, input=-41, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1376","layer":0}],"base":6,"result_base":6,"text":"⇐((⫖→(↹⩛10013⩨↹⩛20524))⪒(↔↹⩛5142)⊹∫⫚(↹⩛30345∷↹⩛13002))=↹⩛-10212","reverse_text":"↹⩛-10212=⇐((⫖→(↹⩛10013⩨↹⩛20524))⪒(↔↹⩛5142)⊹∫⫚(↹⩛30345∷↹⩛13002))","cot":[{"info":"↹⩛10013⩨↹⩛20524=↹⩛-10","layer":3},{"info":"⫖→↹⩛-10=↹⩛453","layer":2},{"info":"↔↹⩛5142=↹⩛-4005","layer":3},{"info":"↹⩛30345∷↹⩛13002=↹⩛13002","layer":3},{"info":"↹⩛-4005⊹∫⫚↹⩛13002=↹⩛-344","layer":2},{"info":"↹⩛453⪒↹⩛-344=↹⩛-105","layer":1},{"info":"⇐↹⩛-105=↹⩛-10212","layer":0}]} +{"id":726,"expression_no_base_symbol":"(⪝⪂⫅($1170$⪒⊣⊆$1004$)⫞⩸⩒($2284$⪠⩆⊳))↼⊘⨖(($3567$⩁)⫁($4721$≴⪞⇿$1001$)⪶≀⋏($1351$⨚⇆$3167$≬⋮$1887$⨎$1695$))","expression":"(⪝⪂⫅(↹⩛5230⪒⊣⊆↹⩛4352)⫞⩸⩒(↹⩛14324⪠⩆⊳))↼⊘⨖((↹⩛24303⩁)⫁(↹⩛33505≴⪞⇿↹⩛4345)⪶≀⋏(↹⩛10131⨚⇆↹⩛22355≬⋮↹⩛12423⨎↹⩛11503))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14282,"operation_count":12,"complexity_ratio":1190.1666666666667,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1170,"base":6},"right_expr":{"type":"numeric_atoms","value":1004,"base":6}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2284,"base":6}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3567,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4721,"base":6},"right_expr":{"type":"numeric_atoms","value":1001,"base":6}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1351,"base":6},"right_expr":{"type":"numeric_atoms","value":3167,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1887,"base":6},"right_expr":{"type":"numeric_atoms","value":1695,"base":6}}}}},"used_operators":["bPywburJMS","XTarYq4gQB","XGcMNugi78","eRqsBgTDFp","JLbD19bQDL","zR4jO40bMj","0ajvFaJAv0","5GqDbVmqXU","lvlrscuwVU","kbkesczE7y","lwHaAYXP2r","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","cHh1gJQ2o6","AHs5Up7iyr","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛143134","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1170","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1004, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2340","layer":3},{"info":"number node, value=2284","layer":4},{"info":"compute unary expreesion, input=2284, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2340, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2340","layer":2},{"info":"compute unary expreesion, input=2340, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-343980","layer":1},{"info":"number node, value=3567","layer":4},{"info":"compute unary expreesion, input=3567, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-25756","layer":3},{"info":"number node, value=4721","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=1001, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=39569642","layer":3},{"info":"compute binary expreesion, left_input=-25756, right_input=39569642, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1351","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=3167, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=1695, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1695","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1695, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=868, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=6944","layer":1},{"info":"compute binary expreesion, left_input=-343980, right_input=6944, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=13666","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅(↹⩛5230⪒⊣⊆↹⩛4352)⫞⩸⩒(↹⩛14324⪠⩆⊳))↼⊘⨖((↹⩛24303⩁)⫁(↹⩛33505≴⪞⇿↹⩛4345)⪶≀⋏(↹⩛10131⨚⇆↹⩛22355≬⋮↹⩛12423⨎↹⩛11503))=↹⩛143134","reverse_text":"↹⩛143134=(⪝⪂⫅(↹⩛5230⪒⊣⊆↹⩛4352)⫞⩸⩒(↹⩛14324⪠⩆⊳))↼⊘⨖((↹⩛24303⩁)⫁(↹⩛33505≴⪞⇿↹⩛4345)⪶≀⋏(↹⩛10131⨚⇆↹⩛22355≬⋮↹⩛12423⨎↹⩛11503))","cot":[{"info":"↹⩛5230⪒⊣⊆↹⩛4352=↹⩛14500","layer":3},{"info":"↹⩛14324⪠⩆⊳=↹⩛0","layer":3},{"info":"↹⩛14500⫞⩸⩒↹⩛0=↹⩛14500","layer":2},{"info":"⪝⪂⫅↹⩛14500=↹⩛-11212300","layer":1},{"info":"↹⩛24303⩁=↹⩛-315124","layer":3},{"info":"↹⩛33505≴⪞⇿↹⩛4345=↹⩛3532040442","layer":3},{"info":"↹⩛-315124⫁↹⩛3532040442=↹⩛424","layer":2},{"info":"↹⩛10131⨚⇆↹⩛22355=NaN","layer":3},{"info":"↹⩛12423⨎↹⩛11503=↹⩛11503","layer":3},{"info":"NaN≬⋮↹⩛11503=↹⩛4004","layer":2},{"info":"↹⩛424⪶≀⋏↹⩛4004=↹⩛52052","layer":1},{"info":"↹⩛-11212300↼⊘⨖↹⩛52052=↹⩛143134","layer":0}]} +{"id":727,"expression_no_base_symbol":"↥(($5240$⫠)+⪬∐$1217$⋹⋡⊁$1267$⩺⋐⫨)","expression":"↥((↹⩛40132⫠)+⪬∐↹⩛5345⋹⋡⊁↹⩛5511⩺⋐⫨)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":136001,"operation_count":5,"complexity_ratio":27200.2,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":5240,"base":6}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1217,"base":6},"right_expr":{"type":"numeric_atoms","value":1267,"base":6}}}}},"used_operators":["A8NUZmVepG","yS9ePUuUdn","2GS7woTJqF","6SnOT2rOjz","As8RqfVLgs"],"dependent_operators":["k8jYdgA6NY","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","g55IO6H4Gj","D4vGDi5EA2","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5240","layer":4},{"info":"compute unary expreesion, input=5240, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1267, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2017","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2017, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↥((↹⩛40132⫠)+⪬∐↹⩛5345⋹⋡⊁↹⩛5511⩺⋐⫨)=↹⩛0","reverse_text":"↹⩛0=↥((↹⩛40132⫠)+⪬∐↹⩛5345⋹⋡⊁↹⩛5511⩺⋐⫨)","cot":[{"info":"↹⩛40132⫠=↹⩛0","layer":3},{"info":"↹⩛5345⋹⋡⊁↹⩛5511=↹⩛13201","layer":3},{"info":"↹⩛0+⪬∐↹⩛13201=↹⩛0","layer":2},{"info":"↹⩛0⩺⋐⫨=↹⩛0","layer":1},{"info":"↥↹⩛0=↹⩛0","layer":0}]} +{"id":728,"expression_no_base_symbol":"(⇨(($4659$↺$4162$)≄⊠$1814$⫘$5427$))≥⨤⩑(⊤⊝(↓⇌($2772$⨒$5185$)))","expression":"(⇨((↹⩛33323↺↹⩛31134)≄⊠↹⩛12222⫘↹⩛41043))≥⨤⩑(⊤⊝(↓⇌(↹⩛20500⨒↹⩛40001)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":930880,"operation_count":8,"complexity_ratio":116360.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4659,"base":6},"right_expr":{"type":"numeric_atoms","value":4162,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1814,"base":6},"right_expr":{"type":"numeric_atoms","value":5427,"base":6}}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2772,"base":6},"right_expr":{"type":"numeric_atoms","value":5185,"base":6}}}}},"used_operators":["gJLn6v0xnP","G9tJMlZ94a","vXNesLlMH1","7j4O788W3g","48vC8HMD2b","rXAclfmB4M","PxpmPgHHJV","y75s1iXyHd"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","k8jYdgA6NY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4659","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=4659, right_input=4162, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4162","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=5427","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=5427, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2137669","layer":3},{"info":"compute binary expreesion, left_input=4162, right_input=2137669, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=34207372","layer":2},{"info":"compute unary expreesion, input=34207372, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=2772","layer":4},{"info":"number node, value=5185","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=5185, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-16260","layer":3},{"info":"compute unary expreesion, input=-16260, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-32520","layer":2},{"info":"compute unary expreesion, input=-32520, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-66338","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-66338, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⇨((↹⩛33323↺↹⩛31134)≄⊠↹⩛12222⫘↹⩛41043))≥⨤⩑(⊤⊝(↓⇌(↹⩛20500⨒↹⩛40001)))=↹⩛0","reverse_text":"↹⩛0=(⇨((↹⩛33323↺↹⩛31134)≄⊠↹⩛12222⫘↹⩛41043))≥⨤⩑(⊤⊝(↓⇌(↹⩛20500⨒↹⩛40001)))","cot":[{"info":"↹⩛33323↺↹⩛31134=↹⩛31134","layer":3},{"info":"↹⩛12222⫘↹⩛41043=↹⩛113452341","layer":3},{"info":"↹⩛31134≄⊠↹⩛113452341=↹⩛3221103244","layer":2},{"info":"⇨↹⩛3221103244=↹⩛0","layer":1},{"info":"↹⩛20500⨒↹⩛40001=↹⩛-203140","layer":3},{"info":"↓⇌↹⩛-203140=↹⩛-410320","layer":2},{"info":"⊤⊝↹⩛-410320=↹⩛-1231042","layer":1},{"info":"↹⩛0≥⨤⩑↹⩛-1231042=↹⩛0","layer":0}]} +{"id":729,"expression_no_base_symbol":"($1334$≎⊠⪸$3626$⪇≇⋚$1264$⪭$5609$%(⨵(↑$2827$)))⫰⋱(≋($3297$⫉⨲⊜$1564$≬⇓$1513$≒∊$3278$))","expression":"(↹⩛10102≎⊠⪸↹⩛24442⪇≇⋚↹⩛5504⪭↹⩛41545%(⨵(↑↹⩛21031)))⫰⋱(≋(↹⩛23133⫉⨲⊜↹⩛11124≬⇓↹⩛11001≒∊↹⩛23102))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":454,"operation_count":11,"complexity_ratio":41.27272727272727,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1334,"base":6},"right_expr":{"type":"numeric_atoms","value":3626,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1264,"base":6},"right_expr":{"type":"numeric_atoms","value":5609,"base":6}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2827,"base":6}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3297,"base":6},"right_expr":{"type":"numeric_atoms","value":1564,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1513,"base":6},"right_expr":{"type":"numeric_atoms","value":3278,"base":6}}}}},"used_operators":["6o9Blt3TJ6","k8jYdgA6NY","3sJ7IOPOlU","bJkvcejdHO","j9kHMeSvPp","Tl3Y52tvF8","tR7O2zTn5j","61wBmkZwlr","jWTQ2TZYIH","WhqkvtTD3t","5KTvxBwnZo"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","COABgblf1C","xUOZtlo3hN","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","7j4O788W3g","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eewbuw0ToL","zVYPLywUTj","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"↹⩛53","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3626, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=345033","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=5609","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=5609, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=345033, right_input=5, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2827","layer":4},{"info":"compute unary expreesion, input=2827, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-1209","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1209, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3297","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=1564, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1513","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=3278, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1029","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1029, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10102≎⊠⪸↹⩛24442⪇≇⋚↹⩛5504⪭↹⩛41545%(⨵(↑↹⩛21031)))⫰⋱(≋(↹⩛23133⫉⨲⊜↹⩛11124≬⇓↹⩛11001≒∊↹⩛23102))=↹⩛53","reverse_text":"↹⩛53=(↹⩛10102≎⊠⪸↹⩛24442⪇≇⋚↹⩛5504⪭↹⩛41545%(⨵(↑↹⩛21031)))⫰⋱(≋(↹⩛23133⫉⨲⊜↹⩛11124≬⇓↹⩛11001≒∊↹⩛23102))","cot":[{"info":"↹⩛10102≎⊠⪸↹⩛24442=↹⩛11221213","layer":3},{"info":"↹⩛5504⪭↹⩛41545=↹⩛5","layer":3},{"info":"↹⩛11221213⪇≇⋚↹⩛5=↹⩛0","layer":2},{"info":"↑↹⩛21031=↹⩛520","layer":3},{"info":"⨵↹⩛520=↹⩛-5333","layer":2},{"info":"↹⩛0%↹⩛-5333=↹⩛0","layer":1},{"info":"↹⩛23133⫉⨲⊜↹⩛11124=↹⩛0","layer":3},{"info":"↹⩛11001≒∊↹⩛23102=↹⩛-4433","layer":3},{"info":"↹⩛0≬⇓↹⩛-4433=↹⩛0","layer":2},{"info":"≋↹⩛0=↹⩛0","layer":1},{"info":"↹⩛0⫰⋱↹⩛0=↹⩛53","layer":0}]} +{"id":730,"expression_no_base_symbol":"(($5947$⨪↰⇹$1548$⊨($3801$⇮⋭$1847$))⊍)∺≝⩲(((↑$1285$)⊉≛↸($4190$⫔⩽⩺$2779$))∙⊟(($1760$⨎⋸⪻)/$1653$⩷∴$6073$))","expression":"((↹⩛43311⨪↰⇹↹⩛11100⊨(↹⩛25333⇮⋭↹⩛12315))⊍)∺≝⩲(((↑↹⩛5541)⊉≛↸(↹⩛31222⫔⩽⩺↹⩛20511))∙⊟((↹⩛12052⨎⋸⪻)/↹⩛11353⩷∴↹⩛44041))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6576,"operation_count":12,"complexity_ratio":548.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5947,"base":6},"right_expr":{"type":"numeric_atoms","value":1548,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3801,"base":6},"right_expr":{"type":"numeric_atoms","value":1847,"base":6}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1285,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4190,"base":6},"right_expr":{"type":"numeric_atoms","value":2779,"base":6}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1760,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1653,"base":6},"right_expr":{"type":"numeric_atoms","value":6073,"base":6}}}}},"used_operators":["KPf6cnQVty","3nqY3DE9mg","vg4gO5BX6G","tmPS8pqC7x","vkpjKywKVM","SxTAKzQCrw","DZ8iAZOCBD","tR7O2zTn5j","i9eR4S00cU","XhwjNDsVaA","Dk5vyLCiGd","9FxExcQeMw"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","IWmyXbctLI","rysDP5nf3Z"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5947","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=5947, right_input=1548, 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=5947","layer":3},{"info":"number node, value=3801","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=1847, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=5947, right_input=-473, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24819","layer":2},{"info":"compute unary expreesion, input=24819, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=72777","layer":1},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4190","layer":4},{"info":"number node, value=2779","layer":4},{"info":"compute binary expreesion, left_input=4190, right_input=2779, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=384","layer":2},{"info":"number node, value=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=3836","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=6073","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=6073, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8872","layer":3},{"info":"compute binary expreesion, left_input=3836, right_input=-8872, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=384, right_input=-1, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=14830","layer":1},{"info":"compute binary expreesion, left_input=72777, right_input=14830, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛43311⨪↰⇹↹⩛11100⊨(↹⩛25333⇮⋭↹⩛12315))⊍)∺≝⩲(((↑↹⩛5541)⊉≛↸(↹⩛31222⫔⩽⩺↹⩛20511))∙⊟((↹⩛12052⨎⋸⪻)/↹⩛11353⩷∴↹⩛44041))=↹⩛424","reverse_text":"↹⩛424=((↹⩛43311⨪↰⇹↹⩛11100⊨(↹⩛25333⇮⋭↹⩛12315))⊍)∺≝⩲(((↑↹⩛5541)⊉≛↸(↹⩛31222⫔⩽⩺↹⩛20511))∙⊟((↹⩛12052⨎⋸⪻)/↹⩛11353⩷∴↹⩛44041))","cot":[{"info":"↹⩛43311⨪↰⇹↹⩛11100=↹⩛43311","layer":3},{"info":"↹⩛25333⇮⋭↹⩛12315=↹⩛-2105","layer":3},{"info":"↹⩛43311⊨↹⩛-2105=↹⩛310523","layer":2},{"info":"↹⩛310523⊍=↹⩛1320533","layer":1},{"info":"↑↹⩛5541=↹⩛520","layer":3},{"info":"↹⩛31222⫔⩽⩺↹⩛20511=NaN","layer":3},{"info":"↹⩛520⊉≛↸NaN=↹⩛1440","layer":2},{"info":"↹⩛12052⨎⋸⪻=↹⩛25432","layer":3},{"info":"↹⩛11353⩷∴↹⩛44041=↹⩛-105024","layer":3},{"info":"↹⩛25432/↹⩛-105024=↹⩛-1","layer":2},{"info":"↹⩛1440∙⊟↹⩛-1=↹⩛152354","layer":1},{"info":"↹⩛1320533∺≝⩲↹⩛152354=↹⩛424","layer":0}]} +{"id":731,"expression_no_base_symbol":"((⇠$2049$)⩒⫫$6144$⊱⇼⊻$2565$)∴($4222$≌$1963$∇⊂⋱($1052$⩇∃⫛$6475$))⪕(($1849$∷$1921$)⪭≯$3418$⨚⇆$1373$)⩘(($1295$⇩)⫔⩽⩺$5054$⨔⇊$5736$)","expression":"((⇠↹⩛13253)⩒⫫↹⩛44240⊱⇼⊻↹⩛15513)∴(↹⩛31314≌↹⩛13031∇⊂⋱(↹⩛4512⩇∃⫛↹⩛45551))⪕((↹⩛12321∷↹⩛12521)⪭≯↹⩛23454⨚⇆↹⩛10205)⩘((↹⩛5555⇩)⫔⩽⩺↹⩛35222⨔⇊↹⩛42320)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26433,"operation_count":15,"complexity_ratio":1762.2,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2049,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6144,"base":6},"right_expr":{"type":"numeric_atoms","value":2565,"base":6}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4222,"base":6},"right_expr":{"type":"numeric_atoms","value":1963,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1052,"base":6},"right_expr":{"type":"numeric_atoms","value":6475,"base":6}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1849,"base":6},"right_expr":{"type":"numeric_atoms","value":1921,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3418,"base":6},"right_expr":{"type":"numeric_atoms","value":1373,"base":6}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1295,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5054,"base":6},"right_expr":{"type":"numeric_atoms","value":5736,"base":6}}}}},"used_operators":["umQnsF7QlU","hrf7POJlIJ","KFSx94NKJn","18saOjeKKm","FyVja0WsTP","nhYeJWJD5X","lyWz822IDG","1aApVXNlOP","cHh1gJQ2o6","XAx5wpdLa6","D3AQDKkPcf","lwHaAYXP2r","i9eR4S00cU","vRio1gEz1j","JclMnS0uGI"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","NTOWxs364D","7j4O788W3g","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"↹⩛33353","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1807","layer":3},{"info":"number node, value=6144","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=6144, right_input=2565, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-1807, right_input=434, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=4222","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=1963, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=6475, 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=5896","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5896, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1968","layer":1},{"info":"number node, value=1849","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=1921, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1921","layer":3},{"info":"number node, value=3418","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=1373, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1921, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1388","layer":3},{"info":"number node, value=5054","layer":4},{"info":"number node, value=5736","layer":4},{"info":"compute binary expreesion, left_input=5054, right_input=5736, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5736","layer":3},{"info":"compute binary expreesion, left_input=1388, right_input=5736, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1968, right_input=160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4677","layer":0}],"base":6,"result_base":6,"text":"((⇠↹⩛13253)⩒⫫↹⩛44240⊱⇼⊻↹⩛15513)∴(↹⩛31314≌↹⩛13031∇⊂⋱(↹⩛4512⩇∃⫛↹⩛45551))⪕((↹⩛12321∷↹⩛12521)⪭≯↹⩛23454⨚⇆↹⩛10205)⩘((↹⩛5555⇩)⫔⩽⩺↹⩛35222⨔⇊↹⩛42320)=↹⩛33353","reverse_text":"↹⩛33353=((⇠↹⩛13253)⩒⫫↹⩛44240⊱⇼⊻↹⩛15513)∴(↹⩛31314≌↹⩛13031∇⊂⋱(↹⩛4512⩇∃⫛↹⩛45551))⪕((↹⩛12321∷↹⩛12521)⪭≯↹⩛23454⨚⇆↹⩛10205)⩘((↹⩛5555⇩)⫔⩽⩺↹⩛35222⨔⇊↹⩛42320)","cot":[{"info":"⇠↹⩛13253=↹⩛-12211","layer":3},{"info":"↹⩛44240⊱⇼⊻↹⩛15513=↹⩛2002","layer":3},{"info":"↹⩛-12211⩒⫫↹⩛2002=↹⩛424","layer":2},{"info":"↹⩛31314≌↹⩛13031=NaN","layer":3},{"info":"↹⩛4512⩇∃⫛↹⩛45551=↹⩛43144","layer":3},{"info":"NaN∇⊂⋱↹⩛43144=NaN","layer":2},{"info":"↹⩛424∴NaN=↹⩛13040","layer":1},{"info":"↹⩛12321∷↹⩛12521=↹⩛12521","layer":3},{"info":"↹⩛23454⨚⇆↹⩛10205=NaN","layer":3},{"info":"↹⩛12521⪭≯NaN=NaN","layer":2},{"info":"↹⩛5555⇩=↹⩛10232","layer":3},{"info":"↹⩛35222⨔⇊↹⩛42320=↹⩛42320","layer":3},{"info":"↹⩛10232⫔⩽⩺↹⩛42320=NaN","layer":2},{"info":"NaN⩘NaN=↹⩛424","layer":1},{"info":"↹⩛13040⪕↹⩛424=↹⩛33353","layer":0}]} +{"id":732,"expression_no_base_symbol":"(($2835$∈)∳⫺($4642$∧)/$3286$↳≱$2073$↳∿⪆($2051$⪁$1100$))⪮%⊝((($6266$⫸⊐$2202$)⫑)⇞)","expression":"((↹⩛21043∈)∳⫺(↹⩛33254∧)/↹⩛23114↳≱↹⩛13333↳∿⪆(↹⩛13255⪁↹⩛5032))⪮%⊝(((↹⩛45002⫸⊐↹⩛14110)⫑)⇞)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23892374,"operation_count":11,"complexity_ratio":2172034.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2835,"base":6}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4642,"base":6}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3286,"base":6},"right_expr":{"type":"numeric_atoms","value":2073,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2051,"base":6},"right_expr":{"type":"numeric_atoms","value":1100,"base":6}}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6266,"base":6},"right_expr":{"type":"numeric_atoms","value":2202,"base":6}}}}},"used_operators":["IWmyXbctLI","XhwjNDsVaA","AzXXKTstlj","ztP7wcbY7m","z63VuFQld9","Cw4SuJJGHO","JwTKLfZU96","I7sXao9hZE","5JYyxRJd4f","CgIo77xlM2","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=7834","layer":3},{"info":"number node, value=4642","layer":4},{"info":"compute unary expreesion, input=4642, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7834, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=3286","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=2073, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2051","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1100, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6266","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=6266, right_input=2202, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8683","layer":3},{"info":"compute unary expreesion, input=8683, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=15829","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15829, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21043∈)∳⫺(↹⩛33254∧)/↹⩛23114↳≱↹⩛13333↳∿⪆(↹⩛13255⪁↹⩛5032))⪮%⊝(((↹⩛45002⫸⊐↹⩛14110)⫑)⇞)=NaN","reverse_text":"NaN=((↹⩛21043∈)∳⫺(↹⩛33254∧)/↹⩛23114↳≱↹⩛13333↳∿⪆(↹⩛13255⪁↹⩛5032))⪮%⊝(((↹⩛45002⫸⊐↹⩛14110)⫑)⇞)","cot":[{"info":"↹⩛21043∈=↹⩛100134","layer":3},{"info":"↹⩛33254∧=NaN","layer":3},{"info":"↹⩛100134∳⫺NaN=↹⩛-1112","layer":2},{"info":"↹⩛23114↳≱↹⩛13333=↹⩛0","layer":3},{"info":"↹⩛13255⪁↹⩛5032=NaN","layer":3},{"info":"↹⩛0↳∿⪆NaN=NaN","layer":2},{"info":"↹⩛-1112/NaN=NaN","layer":1},{"info":"↹⩛45002⫸⊐↹⩛14110=↹⩛104111","layer":3},{"info":"↹⩛104111⫑=↹⩛30231","layer":2},{"info":"↹⩛30231⇞=↹⩛201141","layer":1},{"info":"NaN⪮%⊝↹⩛201141=NaN","layer":0}]} +{"id":733,"expression_no_base_symbol":"($2303$⫣⪄⊒$4150$⩎⪣⊞)⨿($2620$≌$5097$≒∊($1518$⫩))⇣⩺⋵(($8928$⪚⩙≫)⋾⨃∁$1883$≠≀$3101$↱$1342$⨔⇊$1464$⊱⇼⊻($1618$≧⫂∧$3380$))","expression":"(↹⩛14355⫣⪄⊒↹⩛31114⩎⪣⊞)⨿(↹⩛20044≌↹⩛35333≒∊(↹⩛11010⫩))⇣⩺⋵((↹⩛105200⪚⩙≫)⋾⨃∁↹⩛12415≠≀↹⩛22205↱↹⩛10114⨔⇊↹⩛10440⊱⇼⊻(↹⩛11254≧⫂∧↹⩛23352))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":301933,"operation_count":14,"complexity_ratio":21566.64285714286,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2303,"base":6},"right_expr":{"type":"numeric_atoms","value":4150,"base":6}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2620,"base":6},"right_expr":{"type":"numeric_atoms","value":5097,"base":6}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1518,"base":6}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":8928,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1883,"base":6},"right_expr":{"type":"numeric_atoms","value":3101,"base":6}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1342,"base":6},"right_expr":{"type":"numeric_atoms","value":1464,"base":6}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1618,"base":6},"right_expr":{"type":"numeric_atoms","value":3380,"base":6}}}}},"used_operators":["F4yD0voBRQ","abYXlopdE0","waWucp1uQ4","RabNbG55vr","5KTvxBwnZo","lyWz822IDG","6aG7x05OhS","SR5kFfdi6N","212REbPD9h","4n53wtyJvv","IwW236VD4Y","FyVja0WsTP","JclMnS0uGI","Ph9nP6C5qx"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","mp7IySMOzn","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","dWAJyo7jo9","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-1112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2303","layer":4},{"info":"number node, value=4150","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=4150, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-20806","layer":3},{"info":"compute unary expreesion, input=-20806, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"number node, value=2620","layer":4},{"info":"number node, value=5097","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=5097, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=8928","layer":4},{"info":"compute unary expreesion, input=8928, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=3101, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3460","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3460, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=119757426","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1464, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1464","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=3380, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2907","layer":3},{"info":"compute binary expreesion, left_input=1464, right_input=2907, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute binary expreesion, left_input=119757426, right_input=434, 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=-780","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-780, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14355⫣⪄⊒↹⩛31114⩎⪣⊞)⨿(↹⩛20044≌↹⩛35333≒∊(↹⩛11010⫩))⇣⩺⋵((↹⩛105200⪚⩙≫)⋾⨃∁↹⩛12415≠≀↹⩛22205↱↹⩛10114⨔⇊↹⩛10440⊱⇼⊻(↹⩛11254≧⫂∧↹⩛23352))=↹⩛-1112","reverse_text":"↹⩛-1112=(↹⩛14355⫣⪄⊒↹⩛31114⩎⪣⊞)⨿(↹⩛20044≌↹⩛35333≒∊(↹⩛11010⫩))⇣⩺⋵((↹⩛105200⪚⩙≫)⋾⨃∁↹⩛12415≠≀↹⩛22205↱↹⩛10114⨔⇊↹⩛10440⊱⇼⊻(↹⩛11254≧⫂∧↹⩛23352))","cot":[{"info":"↹⩛14355⫣⪄⊒↹⩛31114=↹⩛-240154","layer":3},{"info":"↹⩛-240154⩎⪣⊞=NaN","layer":2},{"info":"↹⩛20044≌↹⩛35333=NaN","layer":3},{"info":"↹⩛11010⫩=NaN","layer":3},{"info":"NaN≒∊NaN=NaN","layer":2},{"info":"NaN⨿NaN=↹⩛151","layer":1},{"info":"↹⩛105200⪚⩙≫=NaN","layer":3},{"info":"↹⩛12415≠≀↹⩛22205=↹⩛-24004","layer":3},{"info":"NaN⋾⨃∁↹⩛-24004=↹⩛15514452310","layer":2},{"info":"↹⩛10114⨔⇊↹⩛10440=↹⩛10440","layer":3},{"info":"↹⩛11254≧⫂∧↹⩛23352=↹⩛21243","layer":3},{"info":"↹⩛10440⊱⇼⊻↹⩛21243=↹⩛2002","layer":2},{"info":"↹⩛15514452310↱↹⩛2002=↹⩛-3340","layer":1},{"info":"↹⩛151⇣⩺⋵↹⩛-3340=↹⩛-1112","layer":0}]} +{"id":734,"expression_no_base_symbol":"∂((⇖⫷⫕$1154$⩣⫁∢$2946$)⇔⨋)","expression":"∂((⇖⫷⫕↹⩛5202⩣⫁∢↹⩛21350)⇔⨋)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":779,"operation_count":4,"complexity_ratio":194.75,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1154,"base":6},"right_expr":{"type":"numeric_atoms","value":2946,"base":6}}}}},"used_operators":["Uaa54Peajs","uBihLCJcMX","UHmRx3INFg","JDUIKTTSIa"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2946, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2147","layer":3},{"info":"compute unary expreesion, input=-2147, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=15862","layer":1},{"info":"compute unary expreesion, input=15862, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∂((⇖⫷⫕↹⩛5202⩣⫁∢↹⩛21350)⇔⨋)=NaN","reverse_text":"NaN=∂((⇖⫷⫕↹⩛5202⩣⫁∢↹⩛21350)⇔⨋)","cot":[{"info":"↹⩛5202⩣⫁∢↹⩛21350=↹⩛-13535","layer":3},{"info":"⇖⫷⫕↹⩛-13535=↹⩛21022","layer":2},{"info":"↹⩛21022⇔⨋=↹⩛201234","layer":1},{"info":"∂↹⩛201234=NaN","layer":0}]} +{"id":735,"expression_no_base_symbol":"∷≠($1065$⪛⫼$1692$⋷$4005$⨐$1230$)≌(≛(⊢≑≆$1400$))","expression":"∷≠(↹⩛4533⪛⫼↹⩛11500⋷↹⩛30313⨐↹⩛5410)≌(≛(⊢≑≆↹⩛10252))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":440,"operation_count":7,"complexity_ratio":62.857142857142854,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1065,"base":6},"right_expr":{"type":"numeric_atoms","value":1692,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4005,"base":6},"right_expr":{"type":"numeric_atoms","value":1230,"base":6}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1400,"base":6}}}}},"used_operators":["QiR2Oyf5Xj","lyWz822IDG","23Mk6UjR3U","hyuBjUqXlG","Noe24qw2ks","W7eaUhjymW","27wFxooxGf"],"dependent_operators":["7j4O788W3g","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"↹⩛110100","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1692, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=4005","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=4005, right_input=1230, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8010","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-8010, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-16988","layer":2},{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6052","layer":3},{"info":"compute unary expreesion, input=6052, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"compute binary expreesion, left_input=-16988, right_input=-10, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9108","layer":1},{"info":"compute unary expreesion, input=9108, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=9108","layer":0}],"base":6,"result_base":6,"text":"∷≠(↹⩛4533⪛⫼↹⩛11500⋷↹⩛30313⨐↹⩛5410)≌(≛(⊢≑≆↹⩛10252))=↹⩛110100","reverse_text":"↹⩛110100=∷≠(↹⩛4533⪛⫼↹⩛11500⋷↹⩛30313⨐↹⩛5410)≌(≛(⊢≑≆↹⩛10252))","cot":[{"info":"↹⩛4533⪛⫼↹⩛11500=↹⩛4252","layer":3},{"info":"↹⩛30313⨐↹⩛5410=↹⩛-101030","layer":3},{"info":"↹⩛4252⋷↹⩛-101030=↹⩛-210352","layer":2},{"info":"⊢≑≆↹⩛10252=↹⩛44004","layer":3},{"info":"≛↹⩛44004=↹⩛-14","layer":2},{"info":"↹⩛-210352≌↹⩛-14=↹⩛110100","layer":1},{"info":"∷≠↹⩛110100=↹⩛110100","layer":0}]} +{"id":736,"expression_no_base_symbol":"(($2319$⨵⪆$3245$)⪬(⋣$1735$)∪⫐$1343$⋅⇍$1632$⇼⇔∾$5921$⫞⩸⩒$1950$)⊭∹↮","expression":"((↹⩛14423⨵⪆↹⩛23005)⪬(⋣↹⩛12011)∪⫐↹⩛10115⋅⇍↹⩛11320⇼⇔∾↹⩛43225⫞⩸⩒↹⩛13010)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":772,"operation_count":8,"complexity_ratio":96.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2319,"base":6},"right_expr":{"type":"numeric_atoms","value":3245,"base":6}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1735,"base":6}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1343,"base":6},"right_expr":{"type":"numeric_atoms","value":1632,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5921,"base":6},"right_expr":{"type":"numeric_atoms","value":1950,"base":6}}}}},"used_operators":["xNBdhnnwKq","7YooWSwCyH","Ez1Nq5fNfI","2DQ55sFlQl","zQWRhDnn8F","tifHPKVTfV","AdZkA7nFnk","XGcMNugi78"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"↹⩛15232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2319","layer":4},{"info":"number node, value=3245","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=3245, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1735","layer":4},{"info":"compute unary expreesion, input=1735, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-509995","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-509995, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1343","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=1632, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=5921","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=5921, right_input=1950, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1950","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=1950, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1972","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1972, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2468","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14423⨵⪆↹⩛23005)⪬(⋣↹⩛12011)∪⫐↹⩛10115⋅⇍↹⩛11320⇼⇔∾↹⩛43225⫞⩸⩒↹⩛13010)⊭∹↮=↹⩛15232","reverse_text":"↹⩛15232=((↹⩛14423⨵⪆↹⩛23005)⪬(⋣↹⩛12011)∪⫐↹⩛10115⋅⇍↹⩛11320⇼⇔∾↹⩛43225⫞⩸⩒↹⩛13010)⊭∹↮","cot":[{"info":"↹⩛14423⨵⪆↹⩛23005=↹⩛424","layer":3},{"info":"⋣↹⩛12011=↹⩛-14533031","layer":3},{"info":"↹⩛424⪬↹⩛-14533031=↹⩛5414","layer":2},{"info":"↹⩛10115⋅⇍↹⩛11320=↹⩛-34","layer":3},{"info":"↹⩛43225⫞⩸⩒↹⩛13010=↹⩛13010","layer":3},{"info":"↹⩛-34⇼⇔∾↹⩛13010=↹⩛13044","layer":2},{"info":"↹⩛5414∪⫐↹⩛13044=↹⩛5414","layer":1},{"info":"↹⩛5414⊭∹↮=↹⩛15232","layer":0}]} +{"id":737,"expression_no_base_symbol":"($1887$⨂≜$3136$≄⊠(≇⪴$2067$))⪃⊛⇣(($5706$∙⊟$2031$)⨐($1190$⪨≂$7686$))⨘⋶⪀","expression":"(↹⩛12423⨂≜↹⩛22304≄⊠(≇⪴↹⩛13323))⪃⊛⇣((↹⩛42230∙⊟↹⩛13223)⨐(↹⩛5302⪨≂↹⩛55330))⨘⋶⪀","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8446,"operation_count":8,"complexity_ratio":1055.75,"tree":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1887,"base":6},"right_expr":{"type":"numeric_atoms","value":3136,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2067,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5706,"base":6},"right_expr":{"type":"numeric_atoms","value":2031,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1190,"base":6},"right_expr":{"type":"numeric_atoms","value":7686,"base":6}}}}},"used_operators":["XVKwrhznBb","rrgAzCduG9","vXNesLlMH1","k1SHOSEABc","zoVPnxeHJ3","Noe24qw2ks","SxTAKzQCrw","sdazOOVcIp"],"dependent_operators":["TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1887","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=3136, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2067","layer":4},{"info":"compute unary expreesion, input=2067, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4861, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=5706","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=5706, right_input=2031, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=84024","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=7686","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=7686, 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=-12890","layer":3},{"info":"compute binary expreesion, left_input=84024, right_input=-12890, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-168048","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-168048, 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 = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12423⨂≜↹⩛22304≄⊠(≇⪴↹⩛13323))⪃⊛⇣((↹⩛42230∙⊟↹⩛13223)⨐(↹⩛5302⪨≂↹⩛55330))⨘⋶⪀=NaN","reverse_text":"NaN=(↹⩛12423⨂≜↹⩛22304≄⊠(≇⪴↹⩛13323))⪃⊛⇣((↹⩛42230∙⊟↹⩛13223)⨐(↹⩛5302⪨≂↹⩛55330))⨘⋶⪀","cot":[{"info":"↹⩛12423⨂≜↹⩛22304=NaN","layer":3},{"info":"≇⪴↹⩛13323=↹⩛-34301","layer":3},{"info":"NaN≄⊠↹⩛-34301=↹⩛10540","layer":2},{"info":"↹⩛42230∙⊟↹⩛13223=↹⩛1445000","layer":3},{"info":"↹⩛5302⪨≂↹⩛55330=↹⩛-135402","layer":3},{"info":"↹⩛1445000⨐↹⩛-135402=↹⩛-3334000","layer":2},{"info":"↹⩛10540⪃⊛⇣↹⩛-3334000=↹⩛5414","layer":1},{"info":"↹⩛5414⨘⋶⪀=NaN","layer":0}]} +{"id":738,"expression_no_base_symbol":"(($1709$⇴$4628$)⪚⩙≫)⋛($3970$⩖⊿$3802$⊊)⩵∡(⊗($2623$⫃⨇$1362$∙∹∝($6411$⨘⋶⪀)))","expression":"((↹⩛11525⇴↹⩛33232)⪚⩙≫)⋛(↹⩛30214⩖⊿↹⩛25334⊊)⩵∡(⊗(↹⩛20051⫃⨇↹⩛10150∙∹∝(↹⩛45403⨘⋶⪀)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":683,"operation_count":10,"complexity_ratio":68.3,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1709,"base":6},"right_expr":{"type":"numeric_atoms","value":4628,"base":6}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3970,"base":6},"right_expr":{"type":"numeric_atoms","value":3802,"base":6}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2623,"base":6},"right_expr":{"type":"numeric_atoms","value":1362,"base":6}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":6411,"base":6}}}}},"used_operators":["Y7wcNGrDQJ","YbUVn0Rbpy","4n53wtyJvv","4JB6nKBMSY","W9R8I5fN5A","RZ5CV9rWsJ","RhiyfpczSx","HmxsFra2vL","09Ly4LVMIf","XVKwrhznBb"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","sdazOOVcIp","NTOWxs364D","COABgblf1C","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"number node, value=4628","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=4628, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=19124","layer":3},{"info":"compute unary expreesion, input=19124, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=3970","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=3802, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=14454","layer":3},{"info":"compute unary expreesion, input=14454, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90927, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"number node, value=2623","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=2623, right_input=1362, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5480","layer":3},{"info":"number node, value=6411","layer":4},{"info":"compute unary expreesion, input=6411, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5480, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11525⇴↹⩛33232)⪚⩙≫)⋛(↹⩛30214⩖⊿↹⩛25334⊊)⩵∡(⊗(↹⩛20051⫃⨇↹⩛10150∙∹∝(↹⩛45403⨘⋶⪀)))=NaN","reverse_text":"NaN=((↹⩛11525⇴↹⩛33232)⪚⩙≫)⋛(↹⩛30214⩖⊿↹⩛25334⊊)⩵∡(⊗(↹⩛20051⫃⨇↹⩛10150∙∹∝(↹⩛45403⨘⋶⪀)))","cot":[{"info":"↹⩛11525⇴↹⩛33232=↹⩛224312","layer":3},{"info":"↹⩛224312⪚⩙≫=NaN","layer":2},{"info":"↹⩛30214⩖⊿↹⩛25334=↹⩛150530","layer":3},{"info":"↹⩛150530⊊=↹⩛1540543","layer":2},{"info":"NaN⋛↹⩛1540543=NaN","layer":1},{"info":"↹⩛20051⫃⨇↹⩛10150=↹⩛-41212","layer":3},{"info":"↹⩛45403⨘⋶⪀=NaN","layer":3},{"info":"↹⩛-41212∙∹∝NaN=↹⩛0","layer":2},{"info":"⊗↹⩛0=↹⩛0","layer":1},{"info":"NaN⩵∡↹⩛0=NaN","layer":0}]} +{"id":739,"expression_no_base_symbol":"(↔(→⩰$2056$))⪎↠($1517$⫘$3935$)⊮⊟↴($1264$⨭⪣$1920$)⫦⪉($3586$⫃⨇$3445$)⨻⩈⩔($2208$⋾⨃∁$1533$)≎⊠⪸(($1081$∌↝$1122$)⨕⋳)","expression":"(↔(→⩰↹⩛13304))⪎↠(↹⩛11005⫘↹⩛30115)⊮⊟↴(↹⩛5504⨭⪣↹⩛12520)⫦⪉(↹⩛24334⫃⨇↹⩛23541)⨻⩈⩔(↹⩛14120⋾⨃∁↹⩛11033)≎⊠⪸((↹⩛5001∌↝↹⩛5110)⨕⋳)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6084,"operation_count":13,"complexity_ratio":468.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2056,"base":6}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1517,"base":6},"right_expr":{"type":"numeric_atoms","value":3935,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1264,"base":6},"right_expr":{"type":"numeric_atoms","value":1920,"base":6}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3586,"base":6},"right_expr":{"type":"numeric_atoms","value":3445,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2208,"base":6},"right_expr":{"type":"numeric_atoms","value":1533,"base":6}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1081,"base":6},"right_expr":{"type":"numeric_atoms","value":1122,"base":6}}}}},"used_operators":["wscyQdcy20","3tVxb0NHM4","ruOEQAzv1W","o8Pngz0Tml","QDVgd2eftb","48vC8HMD2b","kn8WO9XteQ","bJkvcejdHO","nEsXyWgiOK","09Ly4LVMIf","212REbPD9h","4X4GscPmMf","9Isq31Ruls"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛23520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1517","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=3935, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1788397","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1920, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-15","layer":3},{"info":"compute binary expreesion, left_input=1788397, right_input=-15, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=734","layer":1},{"info":"number node, value=3586","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=3586, right_input=3445, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-13812","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=1533, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=23482400","layer":3},{"info":"compute binary expreesion, left_input=-13812, right_input=23482400, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1122, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-101594","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-101594, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=734, right_input=67, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3432","layer":0}],"base":6,"result_base":6,"text":"(↔(→⩰↹⩛13304))⪎↠(↹⩛11005⫘↹⩛30115)⊮⊟↴(↹⩛5504⨭⪣↹⩛12520)⫦⪉(↹⩛24334⫃⨇↹⩛23541)⨻⩈⩔(↹⩛14120⋾⨃∁↹⩛11033)≎⊠⪸((↹⩛5001∌↝↹⩛5110)⨕⋳)=↹⩛23520","reverse_text":"↹⩛23520=(↔(→⩰↹⩛13304))��↠(↹⩛11005⫘↹⩛30115)⊮⊟↴(↹⩛5504⨭⪣↹⩛12520)⫦⪉(↹⩛24334⫃⨇↹⩛23541)⨻⩈⩔(↹⩛14120⋾⨃∁↹⩛11033)≎⊠⪸((↹⩛5001∌↝↹⩛5110)⨕⋳)","cot":[{"info":"→⩰↹⩛13304=NaN","layer":3},{"info":"↔NaN=↹⩛-342","layer":2},{"info":"↹⩛11005⫘↹⩛30115=↹⩛102155341","layer":3},{"info":"↹⩛5504⨭⪣↹⩛12520=↹⩛-23","layer":3},{"info":"↹⩛102155341⊮⊟↴↹⩛-23=↹⩛0","layer":2},{"info":"↹⩛-342⪎↠↹⩛0=↹⩛3222","layer":1},{"info":"↹⩛24334⫃⨇↹⩛23541=↹⩛-143540","layer":3},{"info":"↹⩛14120⋾⨃∁↹⩛11033=↹⩛2155150452","layer":3},{"info":"↹⩛-143540⨻⩈⩔↹⩛2155150452=↹⩛-450","layer":2},{"info":"↹⩛5001∌↝↹⩛5110=↹⩛0","layer":3},{"info":"↹⩛0⨕⋳=↹⩛-2102202","layer":2},{"info":"↹⩛-450≎⊠⪸↹⩛-2102202=↹⩛151","layer":1},{"info":"↹⩛3222⫦⪉↹⩛151=↹⩛23520","layer":0}]} +{"id":740,"expression_no_base_symbol":"(($2028$⇣⩺⋵$4252$)⩦($6880$≄⊠$6455$)⊨(⊖∈($3026$⇋≉)))⨚((($1989$↯⫤)⫔⩽⩺($5812$⫦⪉$1852$))⫲≸⪮($1739$∕⩚$1297$)⨓(→⩰$4396$))","expression":"((↹⩛13220⇣⩺⋵↹⩛31404)⩦(↹⩛51504≄⊠↹⩛45515)⊨(⊖∈(↹⩛22002⇋≉)))⨚(((↹⩛13113↯⫤)⫔⩽⩺(↹⩛42524⫦⪉↹⩛12324))⫲≸⪮(↹⩛12015∕⩚↹⩛10001)⨓(→⩰↹⩛32204))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6827,"operation_count":14,"complexity_ratio":487.64285714285717,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2028,"base":6},"right_expr":{"type":"numeric_atoms","value":4252,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6880,"base":6},"right_expr":{"type":"numeric_atoms","value":6455,"base":6}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3026,"base":6}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1989,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5812,"base":6},"right_expr":{"type":"numeric_atoms","value":1852,"base":6}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1739,"base":6},"right_expr":{"type":"numeric_atoms","value":1297,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4396,"base":6}}}}},"used_operators":["nREPSIbpBE","vg4gO5BX6G","0kmYd0q39Y","F4yD0voBRQ","vXNesLlMH1","YFxL8Sc2Zy","XIabStNQrY","P3lXMJvFrc","i9eR4S00cU","VwlE7vj6HS","wscyQdcy20","3ViojmjbAp","z9ffQ9n5Zr","o8Pngz0Tml"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2028","layer":4},{"info":"number node, value=4252","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=4252, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=6880","layer":4},{"info":"number node, value=6455","layer":4},{"info":"compute binary expreesion, left_input=6880, right_input=6455, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=107948","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=107948, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-435355","layer":2},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5954","layer":3},{"info":"compute unary expreesion, input=5954, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=113486","layer":2},{"info":"compute binary expreesion, left_input=-435355, right_input=113486, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=5812","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=1852, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6724, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1739","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=1297, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1742","layer":3},{"info":"number node, value=4396","layer":4},{"info":"compute unary expreesion, input=4396, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1742, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛13220⇣⩺⋵↹⩛31404)⩦(↹⩛51504≄⊠↹⩛45515)⊨(⊖∈(↹⩛22002⇋≉)))⨚(((↹⩛13113↯⫤)⫔⩽⩺(↹⩛42524⫦⪉↹⩛12324))⫲≸⪮(↹⩛12015∕⩚↹⩛10001)⨓(→⩰↹⩛32204))=NaN","reverse_text":"NaN=((↹⩛13220⇣⩺⋵↹⩛31404)⩦(↹⩛51504≄⊠↹⩛45515)⊨(⊖∈(↹⩛22002⇋≉)))⨚(((↹⩛13113↯⫤)⫔⩽⩺(↹⩛42524⫦⪉↹⩛12324))⫲≸⪮(↹⩛12015∕⩚↹⩛10001)⨓(→⩰↹⩛32204))","cot":[{"info":"↹⩛13220⇣⩺⋵↹⩛31404=↹⩛-1112","layer":3},{"info":"↹⩛51504≄⊠↹⩛45515=↹⩛2151432","layer":3},{"info":"↹⩛-1112⩦↹⩛2151432=↹⩛-13155311","layer":2},{"info":"↹⩛22002⇋≉=↹⩛43322","layer":3},{"info":"⊖∈↹⩛43322=↹⩛2233222","layer":2},{"info":"↹⩛-13155311⊨↹⩛2233222=↹⩛-450","layer":1},{"info":"↹⩛13113↯⫤=↹⩛0","layer":3},{"info":"↹⩛42524⫦⪉↹⩛12324=↹⩛-51044","layer":3},{"info":"↹⩛0⫔⩽⩺↹⩛-51044=NaN","layer":2},{"info":"↹⩛12015∕⩚↹⩛10001=↹⩛-12022","layer":3},{"info":"→⩰↹⩛32204=NaN","layer":3},{"info":"↹⩛-12022⨓NaN=NaN","layer":2},{"info":"NaN⫲≸⪮NaN=NaN","layer":1},{"info":"↹⩛-450⨚NaN=NaN","layer":0}]} +{"id":741,"expression_no_base_symbol":"((($1698$⨻⩈⩔$4677$)∴≳≥)⫠)⋓($1623$⨓$1536$⪍↜⋙($4780$⫡⨏$7329$)⫚↹⊑(⨴⫝$1410$)↹⊜($5850$→⨶⪴$3951$))","expression":"(((↹⩛11510⨻⩈⩔↹⩛33353)∴≳≥)⫠)⋓(↹⩛11303⨓↹⩛11040⪍↜⋙(↹⩛34044⫡⨏↹⩛53533)⫚↹⊑(⨴⫝↹⩛10310)↹⊜(↹⩛43030→⨶⪴↹⩛30143))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":293829,"operation_count":11,"complexity_ratio":26711.727272727272,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1698,"base":6},"right_expr":{"type":"numeric_atoms","value":4677,"base":6}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1623,"base":6},"right_expr":{"type":"numeric_atoms","value":1536,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4780,"base":6},"right_expr":{"type":"numeric_atoms","value":7329,"base":6}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1410,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5850,"base":6},"right_expr":{"type":"numeric_atoms","value":3951,"base":6}}}}},"used_operators":["T2fj7uvVaJ","6SnOT2rOjz","a3N2hFLK0J","nEsXyWgiOK","dfKe02y8D2","L05ObWFQCd","3ViojmjbAp","QMFrweE19q","9bazX3JMtO","SVb2v531z1","bF6eod5Gvf"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1698","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=4677, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5183","layer":3},{"info":"compute unary expreesion, input=5183, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=20732","layer":2},{"info":"compute unary expreesion, input=20732, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=1623","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1536, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1539","layer":3},{"info":"number node, value=4780","layer":4},{"info":"number node, value=7329","layer":4},{"info":"compute binary expreesion, left_input=4780, right_input=7329, 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=39341","layer":3},{"info":"compute binary expreesion, left_input=-1539, right_input=39341, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-71770","layer":2},{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=5850","layer":4},{"info":"number node, value=3951","layer":4},{"info":"compute binary expreesion, left_input=5850, right_input=3951, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11853","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-11853, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5703712","layer":2},{"info":"compute binary expreesion, left_input=-71770, right_input=5703712, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, 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":6,"result_base":6,"text":"(((↹⩛11510⨻⩈⩔↹⩛33353)∴≳≥)⫠)⋓(↹⩛11303⨓↹⩛11040⪍↜⋙(↹⩛34044⫡⨏↹⩛53533)⫚↹⊑(⨴⫝↹⩛10310)↹⊜(↹⩛43030→⨶⪴↹⩛30143))=↹⩛0","reverse_text":"↹⩛0=(((↹⩛11510⨻⩈⩔↹⩛33353)∴≳≥)⫠)⋓(↹⩛11303⨓↹⩛11040⪍↜⋙(↹⩛34044⫡⨏↹⩛53533)⫚↹⊑(⨴⫝↹⩛10310)↹⊜(↹⩛43030→⨶⪴↹⩛30143))","cot":[{"info":"↹⩛11510⨻⩈⩔↹⩛33353=↹⩛35555","layer":3},{"info":"↹⩛35555∴≳≥=↹⩛235552","layer":2},{"info":"↹⩛235552⫠=↹⩛0","layer":1},{"info":"↹⩛11303⨓↹⩛11040=↹⩛-11043","layer":3},{"info":"↹⩛34044⫡⨏↹⩛53533=↹⩛502045","layer":3},{"info":"↹⩛-11043⪍↜⋙↹⩛502045=↹⩛-1312134","layer":2},{"info":"⨴⫝↹⩛10310=↹⩛140341302","layer":3},{"info":"↹⩛43030→⨶⪴↹⩛30143=↹⩛-130513","layer":3},{"info":"↹⩛140341302↹⊜↹⩛-130513=↹⩛322130024","layer":2},{"info":"↹⩛-1312134⫚↹⊑↹⩛322130024=↹⩛-2023","layer":1},{"info":"↹⩛0⋓↹⩛-2023=↹⩛0","layer":0}]} +{"id":742,"expression_no_base_symbol":"(⩦⩻⨪$4998$∊∟⩊$6438$)⫢⨠((≸$7012$)⨔≚≋(⪲⇎$1230$))⊋≦⊧(≔($2015$⇄$1337$⨽(⊄⩳↩$1068$)))","expression":"(⩦⩻⨪↹⩛35050∊∟⩊↹⩛45450)⫢⨠((≸↹⩛52244)⨔≚≋(⪲⇎↹⩛5410))⊋≦⊧(≔(↹⩛13155⇄↹⩛10105⨽(⊄⩳↩↹⩛4540)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":239,"operation_count":11,"complexity_ratio":21.727272727272727,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4998,"base":6},"right_expr":{"type":"numeric_atoms","value":6438,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":7012,"base":6}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1230,"base":6}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2015,"base":6},"right_expr":{"type":"numeric_atoms","value":1337,"base":6}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1068,"base":6}}}}},"used_operators":["oRDoc9rAEX","xlXykHWxX1","2td37pGCOC","ddLRYrp01A","Z57zeUYC9z","eOf03JbCpp","XPYlsWDdGa","8FLs4eVsLt","8HhzD0ZcuI","3EYGwJThht","8w2t5hMYqp"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛21021444","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4998","layer":4},{"info":"number node, value=6438","layer":4},{"info":"compute binary expreesion, left_input=4998, right_input=6438, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6438","layer":3},{"info":"compute unary expreesion, input=6438, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6438","layer":2},{"info":"number node, value=7012","layer":4},{"info":"compute unary expreesion, input=7012, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=1230","layer":4},{"info":"compute unary expreesion, input=1230, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2460","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=2460, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-23368","layer":2},{"info":"compute binary expreesion, left_input=6438, right_input=-23368, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=134170","layer":1},{"info":"number node, value=2015","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=1337, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3204, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=10926","layer":2},{"info":"compute unary expreesion, input=10926, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-304634","layer":1},{"info":"compute binary expreesion, left_input=134170, right_input=-304634, 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=609508","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪↹⩛35050∊∟⩊↹⩛45450)⫢⨠((≸↹⩛52244)⨔≚≋(⪲⇎↹⩛5410))⊋≦⊧(≔(↹⩛13155⇄↹⩛10105⨽(⊄⩳↩↹⩛4540)))=↹⩛21021444","reverse_text":"↹⩛21021444=(⩦⩻⨪↹⩛35050∊���⩊↹⩛45450)⫢⨠((≸↹⩛52244)⨔≚≋(⪲⇎↹⩛5410))⊋≦⊧(≔(↹⩛13155⇄↹⩛10105⨽(⊄⩳↩↹⩛4540)))","cot":[{"info":"↹⩛35050∊∟⩊↹⩛45450=↹⩛45450","layer":3},{"info":"⩦⩻⨪↹⩛45450=↹⩛45450","layer":2},{"info":"≸↹⩛52244=↹⩛134","layer":3},{"info":"⪲⇎↹⩛5410=↹⩛15220","layer":3},{"info":"↹⩛134⨔≚≋↹⩛15220=↹⩛-300104","layer":2},{"info":"↹⩛45450⫢⨠↹⩛-300104=↹⩛2513054","layer":1},{"info":"↹⩛13155⇄↹⩛10105=↹⩛0","layer":3},{"info":"⊄⩳↩↹⩛4540=↹⩛-22500","layer":3},{"info":"↹⩛0⨽↹⩛-22500=↹⩛122330","layer":2},{"info":"≔↹⩛122330=↹⩛-10310202","layer":1},{"info":"↹⩛2513054⊋≦⊧↹⩛-10310202=↹⩛21021444","layer":0}]} +{"id":743,"expression_no_base_symbol":"($3148$∥⊢⊲$2861$)⫞⩸⩒(⋎⨆$1261$)≥⨤⩑((⋠∜$2637$)⊍⩺⋍($1824$⊪))+$2880$⪶≀⋏$4092$⇄($4785$⨶)∷(⩩$2109$⪬$4105$)","expression":"(↹⩛22324∥⊢⊲↹⩛21125)⫞⩸⩒(⋎⨆↹⩛5501)≥⨤⩑((⋠∜↹⩛20113)⊍⩺⋍(↹⩛12240⊪))+↹⩛21200⪶≀⋏↹⩛30540⇄(↹⩛34053⨶)∷(⩩↹⩛13433⪬↹⩛31001)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3083,"operation_count":14,"complexity_ratio":220.21428571428572,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3148,"base":6},"right_expr":{"type":"numeric_atoms","value":2861,"base":6}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1261,"base":6}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2637,"base":6}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1824,"base":6}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2880,"base":6},"right_expr":{"type":"numeric_atoms","value":4092,"base":6}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":4785,"base":6}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2109,"base":6},"right_expr":{"type":"numeric_atoms","value":4105,"base":6}}}}},"used_operators":["W4YGzv6Whe","gJLn6v0xnP","XGcMNugi78","v1UQAVDJRr","E64sFOc4tB","OXDGMFPWZM","ZJpFhNJr3x","zVYPLywUTj","D3AQDKkPcf","3EYGwJThht","zR4jO40bMj","rFxw8gIMmB","kMhfGuqI2H","Ez1Nq5fNfI"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","EBcxylXtPf","rGHVDoGpnC","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","f6k1SAg4EE","Qy55tPpLXF","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3148","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=3148, right_input=2861, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1261","layer":4},{"info":"compute unary expreesion, input=1261, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"number node, value=2637","layer":4},{"info":"compute unary expreesion, input=2637, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=12832","layer":3},{"info":"number node, value=1824","layer":4},{"info":"compute unary expreesion, input=1824, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12832, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2880","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=4092, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17056","layer":3},{"info":"number node, value=4785","layer":4},{"info":"compute unary expreesion, input=4785, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=7824","layer":3},{"info":"compute binary expreesion, left_input=-17056, right_input=7824, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-7340","layer":2},{"info":"number node, value=2109","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=4105, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7340, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22324∥⊢⊲↹⩛21125)⫞⩸⩒(⋎⨆↹⩛5501)≥⨤⩑((⋠∜↹⩛20113)⊍⩺⋍(↹⩛12240⊪))+↹⩛21200⪶≀⋏↹⩛30540⇄(↹⩛34053⨶)∷(⩩↹⩛13433⪬↹⩛31001)=NaN","reverse_text":"NaN=(↹⩛22324∥⊢⊲↹⩛21125)⫞⩸⩒(⋎⨆↹⩛5501)≥⨤⩑((⋠∜↹⩛20113)⊍⩺⋍(↹⩛12240⊪))+↹⩛21200⪶≀⋏↹⩛30540⇄(↹⩛34053⨶)∷(⩩↹⩛13433⪬↹⩛31001)","cot":[{"info":"↹⩛22324∥⊢⊲↹⩛21125=NaN","layer":3},{"info":"⋎⨆↹⩛5501=↹⩛0","layer":3},{"info":"NaN⫞⩸⩒↹⩛0=NaN","layer":2},{"info":"⋠∜↹⩛20113=↹⩛135224","layer":3},{"info":"↹⩛12240⊪=↹⩛0","layer":3},{"info":"↹⩛135224⊍⩺⋍↹⩛0=NaN","layer":2},{"info":"NaN≥⨤⩑NaN=↹⩛5414","layer":1},{"info":"↹⩛21200⪶≀⋏↹⩛30540=↹⩛-210544","layer":3},{"info":"↹⩛34053⨶=↹⩛100120","layer":3},{"info":"↹⩛-210544⇄↹⩛100120=↹⩛-53552","layer":2},{"info":"↹⩛13433⪬↹⩛31001=↹⩛5414","layer":3},{"info":"⩩↹⩛5414=NaN","layer":2},{"info":"↹⩛-53552∷NaN=NaN","layer":1},{"info":"↹⩛5414+NaN=NaN","layer":0}]} +{"id":744,"expression_no_base_symbol":"((⫵↿(≇⪴$1290$))%($4514$⇄$1020$)∥⊢⊲$1049$⋕⪉⪜$1406$)⊨(($2342$⨵⪆$8083$)⪉⨛$3208$≀⫉$3645$∕⩚$1675$⨭⪣$7293$⩹$6022$⊨$6475$)","expression":"((⫵↿(≇⪴↹⩛5550))%(↹⩛32522⇄↹⩛4420)∥⊢⊲↹⩛4505⋕⪉⪜↹⩛10302)⊨((↹⩛14502⨵⪆↹⩛101231)⪉⨛↹⩛22504≀⫉↹⩛24513∕⩚↹⩛11431⨭⪣↹⩛53433⩹↹⩛43514⊨↹⩛45551)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8112,"operation_count":14,"complexity_ratio":579.4285714285714,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1290,"base":6}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4514,"base":6},"right_expr":{"type":"numeric_atoms","value":1020,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1049,"base":6},"right_expr":{"type":"numeric_atoms","value":1406,"base":6}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2342,"base":6},"right_expr":{"type":"numeric_atoms","value":8083,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3208,"base":6},"right_expr":{"type":"numeric_atoms","value":3645,"base":6}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1675,"base":6},"right_expr":{"type":"numeric_atoms","value":7293,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6022,"base":6},"right_expr":{"type":"numeric_atoms","value":6475,"base":6}}}}},"used_operators":["vg4gO5BX6G","k8jYdgA6NY","ivGwdmUAux","zoVPnxeHJ3","v1UQAVDJRr","3EYGwJThht","z6LnFrNh4i","z9ffQ9n5Zr","EWw2JM7wp4","2DQ55sFlQl","oZj3VtZNQx","2Wsdkap16l","kn8WO9XteQ"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2530","layer":3},{"info":"compute unary expreesion, input=-2530, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=4514","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4514, right_input=1020, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1406, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2802, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2342","layer":4},{"info":"number node, value=8083","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=8083, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3208","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=3645, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2822, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-7771","layer":2},{"info":"number node, value=1675","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=7293, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=396","layer":3},{"info":"number node, value=6022","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=6022, right_input=6475, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=25119","layer":3},{"info":"compute binary expreesion, left_input=396, right_input=25119, 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=25117","layer":2},{"info":"compute binary expreesion, left_input=-7771, right_input=25117, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-7774","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7774, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⫵↿(≇⪴↹⩛5550))%(↹⩛32522⇄↹⩛4420)∥⊢⊲↹⩛4505⋕⪉⪜↹⩛10302)⊨((↹⩛14502⨵⪆↹⩛101231)⪉⨛↹⩛22504≀⫉↹⩛24513∕⩚↹⩛11431⨭⪣↹⩛53433⩹↹⩛43514⊨↹⩛45551)=NaN","reverse_text":"NaN=((⫵↿(≇⪴↹⩛5550))%(↹⩛32522⇄↹⩛4420)∥⊢⊲↹⩛4505⋕⪉⪜↹⩛10302)⊨((↹⩛14502⨵⪆↹⩛101231)⪉⨛↹⩛22504≀⫉↹⩛24513∕⩚↹⩛11431⨭⪣↹⩛53433⩹↹⩛43514⊨↹⩛45551)","cot":[{"info":"≇⪴↹⩛5550=↹⩛-15414","layer":3},{"info":"⫵↿↹⩛-15414=↹⩛345","layer":2},{"info":"↹⩛32522⇄↹⩛4420=���⩛0","layer":3},{"info":"↹⩛4505⋕⪉⪜↹⩛10302=↹⩛20550","layer":3},{"info":"↹⩛0∥⊢⊲↹⩛20550=NaN","layer":2},{"info":"↹⩛345%NaN=NaN","layer":1},{"info":"↹⩛14502⨵⪆↹⩛101231=↹⩛424","layer":3},{"info":"↹⩛22504≀⫉↹⩛24513=↹⩛21022","layer":3},{"info":"↹⩛424⪉⨛↹⩛21022=↹⩛-55551","layer":2},{"info":"↹⩛11431⨭⪣↹⩛53433=↹⩛1500","layer":3},{"info":"↹⩛43514⊨↹⩛45551=↹⩛312143","layer":3},{"info":"↹⩛1500⩹↹⩛312143=↹⩛312141","layer":2},{"info":"↹⩛-55551∕⩚↹⩛312141=↹⩛-55554","layer":1},{"info":"NaN⊨↹⩛-55554=NaN","layer":0}]} +{"id":745,"expression_no_base_symbol":"(⫵↿($1940$∠↢$6364$)∛($3924$≀⩗∶$4980$))↫","expression":"(⫵↿(↹⩛12552∠↢↹⩛45244)∛(↹⩛30100≀⩗∶↹⩛35020))↫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":103,"operation_count":5,"complexity_ratio":20.6,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1940,"base":6},"right_expr":{"type":"numeric_atoms","value":6364,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3924,"base":6},"right_expr":{"type":"numeric_atoms","value":4980,"base":6}}}}},"used_operators":["uPb5QRN0te","ivGwdmUAux","w2537kitQq","KbjG8mgYpV","8INZBEW696"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":4},{"info":"number node, value=6364","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=6364, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-95774","layer":3},{"info":"number node, value=3924","layer":4},{"info":"number node, value=4980","layer":4},{"info":"compute binary expreesion, left_input=3924, right_input=4980, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-95774, right_input=-3, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute unary expreesion, input=137, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⫵↿(↹⩛12552∠↢↹⩛45244)∛(↹⩛30100≀⩗∶↹⩛35020))↫=↹⩛424","reverse_text":"↹⩛424=(⫵↿(↹⩛12552∠↢↹⩛45244)∛(↹⩛30100≀⩗∶↹⩛35020))↫","cot":[{"info":"↹⩛12552∠↢↹⩛45244=↹⩛-2015222","layer":3},{"info":"↹⩛30100≀⩗∶↹⩛35020=↹⩛-3","layer":3},{"info":"↹⩛-2015222∛↹⩛-3=↹⩛151","layer":2},{"info":"⫵↿↹⩛151=↹⩛345","layer":1},{"info":"↹⩛345↫=↹⩛424","layer":0}]} +{"id":746,"expression_no_base_symbol":"($1473$⊲⩕⊾$7163$⪛$7939$≹⇙⪍$1064$∸)↳≱(((+⊝⨔$1300$)⨌↪)≃(($2270$⪒$6190$)∠⫱$1374$⋥≓≎$5671$))","expression":"(↹⩛10453⊲⩕⊾↹⩛53055⪛↹⩛100431≹⇙⪍↹⩛4532∸)↳≱(((+⊝⨔↹⩛10004)⨌↪)≃((↹⩛14302⪒↹⩛44354)∠⫱↹⩛10210⋥≓≎↹⩛42131))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":380,"operation_count":11,"complexity_ratio":34.54545454545455,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1473,"base":6},"right_expr":{"type":"numeric_atoms","value":7163,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7939,"base":6},"right_expr":{"type":"numeric_atoms","value":1064,"base":6}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1300,"base":6}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2270,"base":6},"right_expr":{"type":"numeric_atoms","value":6190,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1374,"base":6},"right_expr":{"type":"numeric_atoms","value":5671,"base":6}}}}},"used_operators":["JwTKLfZU96","o20kRiQErp","uFcxV4UQCh","DmTXOeWf9t","AHs5Up7iyr","YbVcJGFEVW","cWQsF5MvuD","DhbWaqg5eL","QvoQhV0rrE","f6k1SAg4EE","Qy55tPpLXF"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"number node, value=7163","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=7163, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-91828","layer":3},{"info":"number node, value=7939","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=7939, right_input=1064, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-91828, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=2270","layer":4},{"info":"number node, value=6190","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=6190, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8460","layer":3},{"info":"number node, value=1374","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=5671, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10001","layer":3},{"info":"compute binary expreesion, left_input=-8460, right_input=10001, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=1234, 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=940","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=940, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10453⊲⩕⊾↹⩛53055⪛↹⩛100431≹⇙⪍↹⩛4532∸)↳≱(((+⊝⨔↹⩛10004)⨌↪)≃((↹⩛14302⪒↹⩛44354)∠⫱↹⩛10210⋥≓≎↹⩛42131))=↹⩛0","reverse_text":"↹⩛0=(↹⩛10453⊲⩕⊾↹⩛53055⪛↹⩛100431≹⇙⪍↹⩛4532∸)↳≱(((+⊝⨔↹⩛10004)⨌↪)≃((↹⩛14302⪒↹⩛44354)∠⫱↹⩛10210⋥≓≎↹⩛42131))","cot":[{"info":"↹⩛10453⊲⩕⊾↹⩛53055=↹⩛-1545044","layer":3},{"info":"↹⩛100431≹⇙⪍↹⩛4532=NaN","layer":3},{"info":"↹⩛-1545044⪛NaN=NaN","layer":2},{"info":"NaN∸=↹⩛453","layer":1},{"info":"+⊝⨔↹⩛10004=↹⩛11014","layer":3},{"info":"↹⩛11014⨌↪=↹⩛-2120","layer":2},{"info":"↹⩛14302⪒↹⩛44354=↹⩛-103100","layer":3},{"info":"↹⩛10210⋥≓≎↹⩛42131=↹⩛114145","layer":3},{"info":"↹⩛-103100∠⫱↹⩛114145=↹⩛5414","layer":2},{"info":"↹⩛-2120≃↹⩛5414=↹⩛4204","layer":1},{"info":"↹⩛453↳≱↹⩛4204=↹⩛0","layer":0}]} +{"id":747,"expression_no_base_symbol":"↴⪽⋼$7695$⋣⋖$3676$≠≀($3971$⋥≓≎$4091$)⫸⇳(($4309$⇮⋭$2012$)⇐≅)","expression":"↴⪽⋼↹⩛55343⋣⋖↹⩛25004≠≀(↹⩛30215⋥≓≎↹⩛30535)⫸⇳((↹⩛31541⇮⋭↹⩛13152)⇐≅)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":85,"operation_count":7,"complexity_ratio":12.142857142857142,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7695,"base":6},"right_expr":{"type":"numeric_atoms","value":3676,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3971,"base":6},"right_expr":{"type":"numeric_atoms","value":4091,"base":6}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4309,"base":6},"right_expr":{"type":"numeric_atoms","value":2012,"base":6}}}}},"used_operators":["5TUYCnJO6w","gx7XJ7hdpj","IwW236VD4Y","J0M6qkBnIM","Qy55tPpLXF","wEfv7U73WA","vkpjKywKVM"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7695","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=7695, right_input=3676, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7695","layer":3},{"info":"number node, value=3971","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=4091, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4244","layer":3},{"info":"compute binary expreesion, left_input=7695, right_input=4244, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-15084","layer":2},{"info":"number node, value=4309","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=2012, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-15084, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↴⪽⋼↹⩛55343⋣⋖↹⩛25004≠≀(↹⩛30215⋥≓≎↹⩛30535)⫸⇳((↹⩛31541⇮⋭↹⩛13152)⇐≅)=↹⩛0","reverse_text":"↹⩛0=↴⪽⋼↹⩛55343⋣⋖↹⩛25004≠≀(↹⩛30215⋥≓≎↹⩛30535)⫸⇳((↹⩛31541⇮⋭↹⩛13152)⇐≅)","cot":[{"info":"↹⩛55343⋣⋖↹⩛25004=↹⩛55343","layer":3},{"info":"↹⩛30215⋥≓≎↹⩛30535=↹⩛31352","layer":3},{"info":"↹⩛55343≠≀↹⩛31352=↹⩛-153500","layer":2},{"info":"↹⩛31541⇮⋭↹⩛13152=↹⩛-2105","layer":3},{"info":"↹⩛-2105⇐≅=↹⩛0","layer":2},{"info":"↹⩛-153500⫸⇳↹⩛0=↹⩛0","layer":1},{"info":"↴⪽⋼↹⩛0=↹⩛0","layer":0}]} +{"id":748,"expression_no_base_symbol":"(($2877$≴⪞⇿$1655$)≌$1127$⇻⋧≁$5964$⊝⪿⪼(≉$1188$⪒⊣⊆$4307$))∇⊂⋱(($3030$⪥$2624$⩨(⊵⊁$1985$))⊫∞)","expression":"((↹⩛21153≴⪞⇿↹⩛11355)≌↹⩛5115⇻⋧≁↹⩛43340⊝⪿⪼(≉↹⩛5300⪒⊣⊆↹⩛31535))∇⊂⋱((↹⩛22010⪥↹⩛20052⩨(⊵⊁↹⩛13105))⊫∞)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":230141,"operation_count":11,"complexity_ratio":20921.909090909092,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2877,"base":6},"right_expr":{"type":"numeric_atoms","value":1655,"base":6}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1127,"base":6},"right_expr":{"type":"numeric_atoms","value":5964,"base":6}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1188,"base":6},"right_expr":{"type":"numeric_atoms","value":4307,"base":6}}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3030,"base":6},"right_expr":{"type":"numeric_atoms","value":2624,"base":6}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1985,"base":6}}}}},"used_operators":["nhYeJWJD5X","3Oe9XWJUTD","lyWz822IDG","lvlrscuwVU","jCPkEVoL5K","e1ybzncUwg","eRqsBgTDFp","pABnYW3G3E","2DlMacCsIx","QbnwKVWMIQ","AvED76WdY7"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","uBihLCJcMX","k8jYdgA6NY"],"result":"↹⩛4115030","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2877","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1655, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=13561866","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5964, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=13561866, right_input=-447, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=7280","layer":2},{"info":"number node, value=1188","layer":4},{"info":"number node, value=4307","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=4307, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2376","layer":3},{"info":"compute unary expreesion, input=2376, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2907","layer":2},{"info":"compute binary expreesion, left_input=7280, right_input=2907, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=98670","layer":1},{"info":"number node, value=3030","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=3030, right_input=2624, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=16772","layer":3},{"info":"number node, value=1985","layer":4},{"info":"compute unary expreesion, input=1985, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=10840","layer":3},{"info":"compute binary expreesion, left_input=16772, right_input=10840, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=98670, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=196794","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21153≴⪞⇿↹⩛11355)≌↹⩛5115⇻⋧≁↹⩛43340⊝⪿⪼(≉↹⩛5300⪒⊣⊆↹⩛31535))∇⊂⋱((↹⩛22010⪥↹⩛20052⩨(⊵⊁↹⩛13105))⊫∞)=↹⩛4115030","reverse_text":"↹⩛4115030=((↹⩛21153≴⪞⇿↹⩛11355)≌↹⩛5115⇻⋧≁↹⩛43340⊝⪿⪼(≉↹⩛5300⪒⊣⊆↹⩛31535))∇⊂⋱((↹⩛22010⪥↹⩛20052⩨(⊵⊁↹⩛13105))⊫∞)","cot":[{"info":"↹⩛21153≴⪞⇿↹⩛11355=↹⩛1202402230","layer":3},{"info":"↹⩛5115⇻⋧≁↹⩛43340=↹⩛-2023","layer":3},{"info":"↹⩛1202402230≌↹⩛-2023=↹⩛53412","layer":2},{"info":"↹���5300⪒⊣⊆↹⩛31535=↹⩛15000","layer":3},{"info":"≉↹⩛15000=↹⩛21243","layer":2},{"info":"↹⩛53412⊝⪿⪼↹⩛21243=↹⩛2040450","layer":1},{"info":"↹⩛22010⪥↹⩛20052=↹⩛205352","layer":3},{"info":"⊵⊁↹⩛13105=↹⩛122104","layer":3},{"info":"↹⩛205352⩨↹⩛122104=↹⩛0","layer":2},{"info":"↹⩛0⊫∞=↹⩛0","layer":1},{"info":"↹⩛2040450∇⊂⋱↹⩛0=↹⩛4115030","layer":0}]} +{"id":749,"expression_no_base_symbol":"(⋗⩬⋾($2042$⋥≓≎$1388$)∥⊢⊲($1991$⩍⋽⫝̸$6591$))≀⫉(⩷⨜⫀((⋗⩬⋾$1427$)⪥(⫶⊄≣$1357$)))","expression":"(⋗⩬⋾(↹⩛13242⋥≓≎↹⩛10232)∥⊢⊲(↹⩛13115⩍⋽⫝̸↹⩛50303))≀⫉(⩷⨜⫀((⋗⩬⋾↹⩛10335)⪥(⫶⊄≣↹⩛10141)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1576,"operation_count":9,"complexity_ratio":175.11111111111111,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2042,"base":6},"right_expr":{"type":"numeric_atoms","value":1388,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1991,"base":6},"right_expr":{"type":"numeric_atoms","value":6591,"base":6}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1427,"base":6}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1357,"base":6}}}}},"used_operators":["oZj3VtZNQx","DpFCA1CohY","v1UQAVDJRr","Qy55tPpLXF","BiWNJpBvwn","CDi0ktkjQ4","QbnwKVWMIQ","wxb3vTeyAj"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","ruOEQAzv1W","nhYeJWJD5X","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2042","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1388, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=767","layer":3},{"info":"number node, value=1991","layer":4},{"info":"number node, value=6591","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=6591, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5645","layer":3},{"info":"compute binary expreesion, left_input=767, right_input=5645, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4281","layer":3},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=33167197","layer":3},{"info":"compute binary expreesion, left_input=-4281, right_input=33167197, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-27404","layer":2},{"info":"compute unary expreesion, input=-27404, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-766, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾(↹⩛13242⋥≓≎↹⩛10232)∥⊢⊲(↹⩛13115⩍⋽⫝̸↹⩛50303))≀⫉(⩷⨜⫀((⋗⩬⋾↹⩛10335)⪥(⫶⊄≣↹⩛10141)))=NaN","reverse_text":"NaN=(⋗⩬⋾(↹⩛13242⋥≓≎↹⩛10232)∥⊢⊲(↹⩛13115⩍⋽⫝̸↹⩛50303))≀⫉(⩷⨜⫀((⋗⩬⋾↹⩛10335)⪥(⫶⊄≣↹⩛10141)))","cot":[{"info":"↹⩛13242⋥≓≎↹⩛10232=↹⩛3315","layer":3},{"info":"↹⩛13115⩍⋽⫝̸↹⩛50303=↹⩛42045","layer":3},{"info":"↹⩛3315∥⊢⊲↹⩛42045=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⋗⩬⋾↹⩛10335=↹⩛-31453","layer":3},{"info":"⫶⊄≣↹⩛10141=↹⩛3142515501","layer":3},{"info":"↹⩛-31453⪥↹⩛3142515501=↹⩛-330512","layer":2},{"info":"⩷⨜⫀↹⩛-330512=↹⩛-3314","layer":1},{"info":"NaN≀⫉↹⩛-3314=NaN","layer":0}]} +{"id":750,"expression_no_base_symbol":"($5087$≚⊃≕$2478$)⋕⪉⪜($1621$≎⊠⪸$1485$)∛($2993$⋕⪉⪜$5364$⫩)⨽(⊖$3534$)∣($1185$⩧⪆$4115$)⪨⊡($5102$↤⩊$4185$⇐≅)","expression":"(↹⩛35315≚⊃≕↹⩛15250)⋕⪉⪜(↹⩛11301≎⊠⪸↹⩛10513)∛(↹⩛21505⋕⪉⪜↹⩛40500⫩)⨽(⊖↹⩛24210)∣(↹⩛5253⩧⪆↹⩛31015)⪨⊡(↹⩛35342↤⩊↹⩛31213⇐≅)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":883,"operation_count":13,"complexity_ratio":67.92307692307692,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":5087,"base":6},"right_expr":{"type":"numeric_atoms","value":2478,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1621,"base":6},"right_expr":{"type":"numeric_atoms","value":1485,"base":6}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2993,"base":6},"right_expr":{"type":"numeric_atoms","value":5364,"base":6}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3534,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1185,"base":6},"right_expr":{"type":"numeric_atoms","value":4115,"base":6}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5102,"base":6},"right_expr":{"type":"numeric_atoms","value":4185,"base":6}}}}},"used_operators":["8HhzD0ZcuI","w2537kitQq","z6LnFrNh4i","Bmrmz2XGnR","bJkvcejdHO","6aG7x05OhS","kuIXHzHcAH","PPChnnnBFF","U6pG0PXrV3","Ikt5ks8PT7","wEfv7U73WA","13rbtpv6ld"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5087","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=5087, right_input=2478, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1485, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=419366","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=419366, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=2993","layer":4},{"info":"number node, value=5364","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=5364, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=3534","layer":4},{"info":"compute unary expreesion, input=3534, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=4115, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4115","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4115, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=957","layer":2},{"info":"number node, value=5102","layer":4},{"info":"number node, value=4185","layer":4},{"info":"compute binary expreesion, left_input=5102, right_input=4185, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=957, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35315≚⊃≕↹⩛15250)⋕⪉⪜(↹⩛11301≎⊠⪸↹⩛10513)∛(↹⩛21505⋕⪉⪜↹⩛40500⫩)⨽(⊖↹⩛24210)∣(↹⩛5253⩧⪆↹⩛31015)⪨⊡(↹⩛35342↤⩊↹⩛31213⇐≅)=NaN","reverse_text":"NaN=(↹⩛35315≚⊃≕↹⩛15250)⋕⪉⪜(↹⩛11301≎⊠⪸↹⩛10513)∛(↹⩛21505⋕⪉⪜↹⩛40500⫩)⨽(⊖↹⩛24210)∣(↹⩛5253⩧⪆↹⩛31015)⪨⊡(↹⩛35342↤⩊↹⩛31213⇐≅)","cot":[{"info":"↹⩛35315≚⊃≕↹⩛15250=↹⩛151","layer":3},{"info":"↹⩛11301≎⊠⪸↹⩛10513=↹⩛12553302","layer":3},{"info":"↹⩛151⋕⪉⪜↹⩛12553302=↹⩛540","layer":2},{"info":"↹⩛21505⋕⪉⪜↹⩛40500=↹⩛540","layer":3},{"info":"↹⩛540⫩=NaN","layer":2},{"info":"↹⩛540∛NaN=↹⩛151","layer":1},{"info":"⊖↹⩛24210=↹⩛0","layer":3},{"info":"↹⩛5253⩧⪆↹⩛31015=↹⩛-31015","layer":3},{"info":"↹⩛0∣↹⩛-31015=↹⩛4233","layer":2},{"info":"↹⩛35342↤⩊↹⩛31213=NaN","layer":3},{"info":"NaN⇐≅=NaN","layer":2},{"info":"↹⩛4233⪨⊡NaN=NaN","layer":1},{"info":"↹⩛151⨽NaN=NaN","layer":0}]} +{"id":751,"expression_no_base_symbol":"⇙⪊(($5327$⨭⪣$9793$)→⨶⪴(⨑⩽⪐$8968$))⨿(⇨$4305$⨸$1774$)","expression":"⇙⪊((↹⩛40355⨭⪣↹⩛113201)→⨶⪴(⨑⩽⪐↹⩛105304))⨿(⇨↹⩛31533⨸↹⩛12114)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4683,"operation_count":7,"complexity_ratio":669.0,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5327,"base":6},"right_expr":{"type":"numeric_atoms","value":9793,"base":6}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8968,"base":6}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4305,"base":6},"right_expr":{"type":"numeric_atoms","value":1774,"base":6}}}}},"used_operators":["pB6Fcnrjim","abYXlopdE0","bF6eod5Gvf","kn8WO9XteQ","AF7qkfDlqP","G9tJMlZ94a","KmoU8R5UQR"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","8w2t5hMYqp","9FxExcQeMw","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5327","layer":4},{"info":"number node, value=9793","layer":4},{"info":"compute binary expreesion, left_input=5327, right_input=9793, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4048","layer":3},{"info":"number node, value=8968","layer":4},{"info":"compute unary expreesion, input=8968, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8695","layer":3},{"info":"compute binary expreesion, left_input=4048, right_input=-8695, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=25454","layer":2},{"info":"number node, value=4305","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=1774, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8610","layer":3},{"info":"compute unary expreesion, input=8610, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=25454, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute unary expreesion, input=-319, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇙⪊((↹⩛40355⨭⪣↹⩛113201)→⨶⪴(⨑⩽⪐↹⩛105304))⨿(⇨↹⩛31533⨸↹⩛12114)=↹⩛0","reverse_text":"↹⩛0=⇙⪊((↹⩛40355⨭⪣↹⩛113201)→⨶⪴(⨑⩽⪐↹⩛105304))⨿(⇨↹⩛31533⨸↹⩛12114)","cot":[{"info":"↹⩛40355⨭⪣↹⩛113201=↹⩛30424","layer":3},{"info":"⨑⩽⪐↹⩛105304=↹⩛-104131","layer":3},{"info":"↹⩛30424→⨶⪴↹⩛-104131=↹⩛313502","layer":2},{"info":"↹⩛31533⨸↹⩛12114=↹⩛103510","layer":3},{"info":"⇨↹⩛103510=↹⩛0","layer":2},{"info":"↹⩛313502⨿↹⩛0=↹⩛-1251","layer":1},{"info":"⇙⪊↹⩛-1251=↹⩛0","layer":0}]} +{"id":752,"expression_no_base_symbol":"(⪲⇎($4313$↢$3360$)≁↽≥($1448$⊱⇼⊻$1159$))⫲","expression":"(⪲⇎(↹⩛31545↢↹⩛23320)≁↽≥(↹⩛10412⊱⇼⊻↹⩛5211))⫲","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":5,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4313,"base":6},"right_expr":{"type":"numeric_atoms","value":3360,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1448,"base":6},"right_expr":{"type":"numeric_atoms","value":1159,"base":6}}}}},"used_operators":["9xnGDUPbC6","XPYlsWDdGa","ncHt1X6cMc","WR6HLWljOP","FyVja0WsTP"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"↹⩛2302425","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4313","layer":4},{"info":"number node, value=3360","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=3360, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3829","layer":3},{"info":"number node, value=1448","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1159, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=3829, right_input=434, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=58753","layer":2},{"info":"compute unary expreesion, input=58753, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=117506","layer":1},{"info":"compute unary expreesion, input=117506, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=117233","layer":0}],"base":6,"result_base":6,"text":"(⪲⇎(↹⩛31545↢↹⩛23320)≁↽≥(↹⩛10412⊱⇼⊻↹⩛5211))⫲=↹⩛2302425","reverse_text":"↹⩛2302425=(⪲⇎(↹⩛31545↢↹⩛23320)≁↽≥(↹⩛10412⊱⇼⊻↹⩛5211))⫲","cot":[{"info":"↹⩛31545↢↹⩛23320=↹⩛25421","layer":3},{"info":"↹⩛10412⊱⇼⊻↹⩛5211=↹⩛2002","layer":3},{"info":"↹⩛25421≁↽≥↹⩛2002=↹⩛1132001","layer":2},{"info":"⪲⇎↹⩛1132001=↹⩛2304002","layer":1},{"info":"↹⩛2304002⫲=↹⩛2302425","layer":0}]} +{"id":753,"expression_no_base_symbol":"(($2888$⋻⩜⩜$3331$)⩼⇪↪($1803$⇗⋫)∽(⇨$2007$)⇣⩺⋵($1844$≧⫂∧$3348$))⪇≇⋚(⇘($2120$⋓$5311$))⨰(⇜($2101$⇣⩺⋵$5146$))","expression":"((↹⩛21212⋻⩜⩜↹⩛23231)⩼⇪↪(↹⩛12203⇗⋫)∽(⇨↹⩛13143)⇣⩺⋵(↹⩛12312≧⫂∧↹⩛23300))⪇≇⋚(⇘(↹⩛13452⋓↹⩛40331))⨰(⇜(↹⩛13421⇣⩺⋵↹⩛35454))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48278,"operation_count":13,"complexity_ratio":3713.6923076923076,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2888,"base":6},"right_expr":{"type":"numeric_atoms","value":3331,"base":6}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1803,"base":6}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2007,"base":6}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1844,"base":6},"right_expr":{"type":"numeric_atoms","value":3348,"base":6}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2120,"base":6},"right_expr":{"type":"numeric_atoms","value":5311,"base":6}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2101,"base":6},"right_expr":{"type":"numeric_atoms","value":5146,"base":6}}}}},"used_operators":["3sJ7IOPOlU","y4ImoPnbV5","ocnLzx9CaJ","oDCm7WA9JY","hpqmaQFPrd","F4yD0voBRQ","G9tJMlZ94a","Ph9nP6C5qx","eewbuw0ToL","MGuIdZPyUC","T2fj7uvVaJ","lFBm8KRb8F"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rxpJgHHUmx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2888","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=3331, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5776","layer":3},{"info":"number node, value=1803","layer":4},{"info":"compute unary expreesion, input=1803, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5776, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=2007","layer":4},{"info":"compute unary expreesion, input=2007, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1844","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=3348, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2875","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2875, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-5688","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5688, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=2120","layer":4},{"info":"number node, value=5311","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=5311, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute 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":2},{"info":"number node, value=2101","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=5146, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1826","layer":3},{"info":"compute unary expreesion, input=-1826, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=-1835, right_input=232, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2057","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2057, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21212⋻⩜⩜↹⩛23231)⩼⇪↪(↹⩛12203⇗⋫)∽(⇨↹⩛13143)⇣⩺⋵(↹⩛12312≧⫂∧↹⩛23300))⪇≇⋚(⇘(↹⩛13452⋓↹⩛40331))⨰(⇜(↹⩛13421⇣⩺⋵↹⩛35454))=NaN","reverse_text":"NaN=((↹⩛21212⋻⩜⩜↹⩛23231)⩼⇪↪(↹⩛12203⇗⋫)∽(⇨↹⩛13143)⇣⩺⋵(↹⩛12312≧⫂∧↹⩛23300))⪇≇⋚(⇘(↹⩛13452���↹⩛40331))⨰(⇜(↹⩛13421⇣⩺⋵↹⩛35454))","cot":[{"info":"↹⩛21212⋻⩜⩜↹⩛23231=↹⩛42424","layer":3},{"info":"↹⩛12203⇗⋫=NaN","layer":3},{"info":"↹⩛42424⩼⇪↪NaN=NaN","layer":2},{"info":"⇨↹⩛13143=↹⩛0","layer":3},{"info":"↹⩛12312≧⫂∧↹⩛23300=↹⩛21151","layer":3},{"info":"↹⩛0⇣⩺⋵↹⩛21151=↹⩛-42200","layer":2},{"info":"NaN∽↹⩛-42200=NaN","layer":1},{"info":"↹⩛13452⋓↹⩛40331=↹⩛0","layer":3},{"info":"⇘↹⩛0=↹⩛-12255","layer":2},{"info":"↹⩛13421⇣⩺⋵↹⩛35454=↹⩛-12242","layer":3},{"info":"⇜↹⩛-12242=↹⩛1024","layer":2},{"info":"↹⩛-12255⨰↹⩛1024=↹⩛-13305","layer":1},{"info":"NaN⪇≇⋚↹⩛-13305=NaN","layer":0}]} +{"id":754,"expression_no_base_symbol":"(($2833$⫯⪬∳$1692$)⇤$1316$⪟⇏$4732$)⨐($1958$↓$1167$+(⇋⊎⋝$2627$))⊬⨰(((⫟$1125$)≚⋢)⋥≓≎($1036$⊹∫⫚$1072$)⪃⊛⇣($6282$⨲∙))","expression":"((↹⩛21041⫯⪬∳↹⩛11500)⇤↹⩛10032⪟⇏↹⩛33524)⨐(↹⩛13022↓↹⩛5223+(⇋⊎⋝↹⩛20055))⊬⨰(((⫟↹⩛5113)≚⋢)⋥≓≎(↹⩛4444⊹∫⫚↹⩛4544)⪃⊛⇣(↹⩛45030⨲∙))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":25131,"operation_count":14,"complexity_ratio":1795.0714285714287,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2833,"base":6},"right_expr":{"type":"numeric_atoms","value":1692,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1316,"base":6},"right_expr":{"type":"numeric_atoms","value":4732,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1958,"base":6},"right_expr":{"type":"numeric_atoms","value":1167,"base":6}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2627,"base":6}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1125,"base":6}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1036,"base":6},"right_expr":{"type":"numeric_atoms","value":1072,"base":6}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":6282,"base":6}}}}},"used_operators":["s3Fd5m9Dh2","Noe24qw2ks","YSKBFp38Pu","d7ASUq0ydm","GODebY97qR","W4YGzv6Whe","Af076pWI7l","CzM2PEoXns","Qy55tPpLXF","MahUMFw56D","z4E1FaHLuy","rrgAzCduG9","uWAJUKEvyW","cRahaglYVE"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"↹⩛2431350","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2833","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=1692, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12506","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4732, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=12506, right_input=-1, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-59677","layer":2},{"info":"number node, value=1958","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1167, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2627","layer":4},{"info":"compute unary expreesion, input=2627, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-59677, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=119354","layer":1},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, 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=-2468","layer":3},{"info":"compute unary expreesion, input=-2468, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=1036","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=1072, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-68","layer":3},{"info":"number node, value=6282","layer":4},{"info":"compute unary expreesion, input=6282, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=82860558","layer":3},{"info":"compute binary expreesion, left_input=-68, right_input=82860558, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=1234, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2590","layer":1},{"info":"compute binary expreesion, left_input=119354, right_input=2590, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=128658","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21041⫯⪬∳↹⩛11500)⇤↹⩛10032⪟⇏↹⩛33524)⨐(↹⩛13022↓↹⩛5223+(⇋⊎⋝↹⩛20055))⊬⨰(((⫟↹⩛5113)≚⋢)⋥≓≎(↹⩛4444⊹∫⫚↹⩛4544)⪃⊛⇣(↹⩛45030⨲∙))=↹⩛2431350","reverse_text":"↹⩛2431350=((↹⩛21041⫯⪬∳↹⩛11500)⇤↹⩛10032⪟⇏↹⩛33524)⨐(↹⩛13022↓↹⩛5223+(⇋⊎⋝↹⩛20055))⊬⨰(((⫟↹⩛5113)≚⋢)⋥≓≎(↹⩛4444⊹∫⫚↹⩛4544)⪃⊛⇣(↹⩛45030⨲∙))","cot":[{"info":"↹⩛21041⫯⪬∳↹⩛11500=↹⩛133522","layer":3},{"info":"↹⩛10032⪟⇏↹⩛33524=↹⩛-1","layer":3},{"info":"↹⩛133522⇤↹⩛-1=↹⩛-1140141","layer":2},{"info":"↹⩛13022↓↹⩛5223=↹⩛-342","layer":3},{"info":"⇋⊎⋝↹⩛20055=NaN","layer":3},{"info":"↹⩛-342+NaN=NaN","layer":2},{"info":"↹⩛-1140141⨐NaN=↹⩛2320322","layer":1},{"info":"⫟↹⩛5113=↹⩛-15232","layer":3},{"info":"↹⩛-15232≚⋢=↹⩛-225","layer":2},{"info":"↹⩛4444⊹∫⫚↹⩛4544=↹⩛-152","layer":3},{"info":"↹⩛45030⨲∙=↹⩛12115553410","layer":3},{"info":"↹⩛-152⪃⊛⇣↹⩛12115553410=↹⩛5414","layer":2},{"info":"↹⩛-225⋥≓≎↹⩛5414=↹⩛15554","layer":1},{"info":"↹⩛2320322⊬⨰↹⩛15554=↹⩛2431350","layer":0}]} +{"id":755,"expression_no_base_symbol":"(⋂$2237$⋥⋵⩄$2559$)↤⩊(($4699$∠↢$2455$)∧)≀⫉(($3157$⪝$6517$)⊕∕($1492$⪛⫼$2638$)⨳⩥⨓($6692$⪔$4577$)⋕⪉⪜$8563$⇻⋧≁$1198$)","expression":"(⋂↹⩛14205⋥⋵⩄↹⩛15503)↤⩊((↹⩛33431∠↢↹⩛15211)∧)≀⫉((↹⩛22341⪝↹⩛50101)⊕∕(↹⩛10524⪛⫼↹⩛20114)⨳⩥⨓(↹⩛50552⪔↹⩛33105)⋕⪉⪜↹⩛103351⇻⋧≁↹⩛5314)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14218,"operation_count":13,"complexity_ratio":1093.6923076923076,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2237,"base":6},"right_expr":{"type":"numeric_atoms","value":2559,"base":6}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4699,"base":6},"right_expr":{"type":"numeric_atoms","value":2455,"base":6}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3157,"base":6},"right_expr":{"type":"numeric_atoms","value":6517,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1492,"base":6},"right_expr":{"type":"numeric_atoms","value":2638,"base":6}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6692,"base":6},"right_expr":{"type":"numeric_atoms","value":4577,"base":6}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":8563,"base":6},"right_expr":{"type":"numeric_atoms","value":1198,"base":6}}}}},"used_operators":["oZj3VtZNQx","13rbtpv6ld","BUOGQAYlQx","7t3wd0Fuz7","z63VuFQld9","KbjG8mgYpV","nCS4ZIUYfx","9cloC0Ngie","wicAB68Tmb","hyuBjUqXlG","z6LnFrNh4i","GjBEYRfMaF","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2237","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=2559, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-986","layer":2},{"info":"number node, value=4699","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=2455, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-52084","layer":3},{"info":"compute unary expreesion, input=-52084, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-986, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=3157","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=6517, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=2638, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=968, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=237","layer":2},{"info":"number node, value=6692","layer":4},{"info":"number node, value=4577","layer":4},{"info":"compute binary expreesion, left_input=6692, right_input=4577, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=8563","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=8563, right_input=1198, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-447, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=237, right_input=2802, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2565","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2565, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋂↹⩛14205⋥⋵⩄↹⩛15503)↤⩊((↹⩛33431∠↢↹⩛15211)∧)≀⫉((↹⩛22341⪝↹⩛50101)⊕∕(↹⩛10524⪛⫼↹⩛20114)⨳⩥⨓(↹⩛50552⪔↹⩛33105)⋕⪉⪜↹⩛103351⇻⋧≁↹⩛5314)=NaN","reverse_text":"NaN=(⋂↹⩛14205⋥⋵⩄↹⩛15503)↤⩊((↹⩛33431∠↢↹⩛15211)∧)≀⫉((↹⩛22341⪝↹⩛50101)⊕∕(↹⩛10524⪛⫼↹⩛20114)⨳⩥⨓(↹⩛50552⪔↹⩛33105)⋕⪉⪜↹⩛103351⇻⋧≁↹⩛5314)","cot":[{"info":"↹⩛14205⋥⋵⩄↹⩛15503=↹⩛305","layer":3},{"info":"⋂↹⩛305=↹⩛-4322","layer":2},{"info":"↹⩛33431∠↢↹⩛15211=↹⩛-1041044","layer":3},{"info":"↹⩛-1041044∧=↹⩛0","layer":2},{"info":"↹⩛-4322↤⩊↹⩛0=NaN","layer":1},{"info":"↹⩛22341⪝↹⩛50101=↹⩛1033","layer":3},{"info":"↹⩛10524⪛⫼↹⩛20114=↹⩛4252","layer":3},{"info":"↹⩛1033⊕∕↹⩛4252=↹⩛1033","layer":2},{"info":"↹⩛50552⪔↹⩛33105=↹⩛2030","layer":3},{"info":"↹⩛103351⇻⋧≁↹⩛5314=↹⩛-2023","layer":3},{"info":"↹⩛2030⋕⪉⪜↹⩛-2023=↹⩛20550","layer":2},{"info":"↹⩛1033⨳⩥⨓↹⩛20550=↹⩛15513","layer":1},{"info":"NaN≀⫉↹⩛15513=NaN","layer":0}]} +{"id":756,"expression_no_base_symbol":"(($2856$⊱⇼⊻$1411$)⨿(⇖$1599$))⊕∕(⪨⨬$3365$)⪬(⊈$2777$)⊢(∤$1964$≳⇉$1254$)≌(⨈⫕$4476$⩷∴$3639$)","expression":"((↹⩛21120⊱⇼⊻↹⩛10311)⨿(⇖↹⩛11223))⊕∕(⪨⨬↹⩛23325)⪬(⊈↹⩛20505)⊢(∤↹⩛13032≳⇉↹⩛5450)≌(⨈⫕↹⩛32420⩷∴↹⩛24503)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24197328,"operation_count":13,"complexity_ratio":1861332.923076923,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2856,"base":6},"right_expr":{"type":"numeric_atoms","value":1411,"base":6}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1599,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3365,"base":6}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2777,"base":6}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1964,"base":6},"right_expr":{"type":"numeric_atoms","value":1254,"base":6}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4476,"base":6},"right_expr":{"type":"numeric_atoms","value":3639,"base":6}}}}},"used_operators":["5twsqlHp2o","9cloC0Ngie","abYXlopdE0","FyVja0WsTP","tfWHHpNKUN","Ez1Nq5fNfI","5obUd6DV38","RHru8klgy8","lyWz822IDG","k2HlF1dBQh","V0kx6qeWkN","megm06wKyl","9FxExcQeMw"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2DQ55sFlQl","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","T2fj7uvVaJ","nlCqmYiOvY","12rbrZMWeM","xUOZtlo3hN","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"↹⩛1454","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2856","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=1411, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=160, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=3365","layer":4},{"info":"compute unary expreesion, input=3365, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=2777","layer":4},{"info":"compute unary expreesion, input=2777, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2951","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-2951, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=1234, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-319","layer":1},{"info":"number node, value=1964","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=1254, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":2},{"info":"number node, value=4476","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=4476, right_input=3639, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1642","layer":3},{"info":"compute unary expreesion, input=1642, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=8984","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=8984, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=394","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21120⊱⇼⊻↹⩛10311)⨿(⇖↹⩛11223))⊕∕(⪨⨬↹⩛23325)⪬(⊈↹⩛20505)⊢(∤↹⩛13032≳⇉↹⩛5450)≌(⨈⫕↹⩛32420⩷∴↹⩛24503)=↹⩛1454","reverse_text":"↹⩛1454=((↹⩛21120⊱⇼⊻↹⩛10311)⨿(⇖↹⩛11223))⊕∕(⪨⨬↹⩛23325)⪬(⊈↹⩛20505)⊢(∤↹⩛13032≳⇉↹⩛5450)≌(⨈⫕↹⩛32420⩷∴↹⩛24503)","cot":[{"info":"↹⩛21120⊱⇼⊻↹⩛10311=↹⩛2002","layer":3},{"info":"⇖↹⩛11223=↹⩛424","layer":3},{"info":"↹⩛2002⨿↹⩛424=↹⩛-1251","layer":2},{"info":"⪨⨬↹⩛23325=↹⩛-2234","layer":3},{"info":"⊈↹⩛20505=↹⩛-21355","layer":3},{"info":"↹⩛-2234⪬↹⩛-21355=↹⩛5414","layer":2},{"info":"↹⩛-1251⊕∕↹⩛5414=↹⩛-1251","layer":1},{"info":"↹⩛13032≳⇉↹⩛5450=NaN","layer":3},{"info":"∤NaN=NaN","layer":2},{"info":"↹⩛32420⩷∴↹⩛24503=↹⩛11334","layer":3},{"info":"⨈⫕↹⩛11334=↹⩛-33","layer":2},{"info":"NaN≌↹⩛-33=↹⩛105332","layer":1},{"info":"↹⩛-1251⊢↹⩛105332=↹⩛1454","layer":0}]} +{"id":757,"expression_no_base_symbol":"($2359$⇌⫙⪟$1848$≭(∓⪦$5843$))⋛(⨰⫟⨤(∟⋨$1405$))∕⩚($1321$⫁⪎$1078$)⫯⪬∳($7228$⇪⋭)⩨($4278$↬$1047$)↼⊘⨖($2774$⨻⩈⩔$1078$)","expression":"(↹⩛14531⇌⫙⪟↹⩛12320≭(∓⪦↹⩛43015))⋛(⨰⫟⨤(∟⋨↹⩛10301))∕⩚(↹⩛10041⫁⪎↹⩛4554)⫯⪬∳(↹⩛53244⇪⋭)⩨(↹⩛31450↬↹⩛4503)↼⊘⨖(↹⩛20502⨻⩈⩔↹⩛4554)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6294,"operation_count":14,"complexity_ratio":449.57142857142856,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2359,"base":6},"right_expr":{"type":"numeric_atoms","value":1848,"base":6}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5843,"base":6}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1405,"base":6}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1321,"base":6},"right_expr":{"type":"numeric_atoms","value":1078,"base":6}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":7228,"base":6}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4278,"base":6},"right_expr":{"type":"numeric_atoms","value":1047,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2774,"base":6},"right_expr":{"type":"numeric_atoms","value":1078,"base":6}}}}},"used_operators":["z9ffQ9n5Zr","YbUVn0Rbpy","rxpJgHHUmx","AFVx7xoS7T","D309nIvmXG","Tw270M8GLb","ctOc4cKSDt","2DlMacCsIx","d7ASUq0ydm","xRrnTEsQ6j","Z8Yg6dlDSp","bPywburJMS","B5M0gjZbta","nEsXyWgiOK"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","AHs5Up7iyr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLAdDNolq6","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rGHVDoGpnC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"↹⩛-2131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2359","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=1848, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=5843","layer":4},{"info":"compute unary expreesion, input=5843, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5435","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=5435, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-921","layer":3},{"info":"compute unary expreesion, input=-921, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"number node, value=1321","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1078, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=243","layer":3},{"info":"number node, value=7228","layer":4},{"info":"compute unary expreesion, input=7228, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=243, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=796","layer":2},{"info":"number node, value=4278","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=4278, right_input=1047, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2774","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=1078, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=13791","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13791, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=27360","layer":2},{"info":"compute binary expreesion, left_input=796, right_input=27360, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-102","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-102, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14531⇌⫙⪟↹⩛12320≭(∓⪦↹⩛43015))⋛(⨰⫟⨤(∟⋨↹⩛10301))∕⩚(↹⩛10041⫁⪎↹⩛4554)⫯⪬∳(↹⩛53244⇪⋭)⩨(↹⩛31450↬↹⩛4503)↼⊘⨖(↹⩛20502⨻⩈⩔↹⩛4554)=↹⩛-2131","reverse_text":"↹��-2131=(↹⩛14531⇌⫙⪟↹⩛12320≭(∓⪦↹⩛43015))⋛(⨰⫟⨤(∟⋨↹⩛10301))∕⩚(↹⩛10041⫁⪎↹⩛4554)⫯⪬∳(↹⩛53244⇪⋭)⩨(↹⩛31450↬↹⩛4503)↼⊘⨖(↹⩛20502⨻⩈⩔↹⩛4554)","cot":[{"info":"↹⩛14531⇌⫙⪟↹⩛12320=↹⩛305","layer":3},{"info":"∓⪦↹⩛43015=↹⩛41055","layer":3},{"info":"↹⩛305≭↹⩛41055=NaN","layer":2},{"info":"∟⋨↹⩛10301=↹⩛-4133","layer":3},{"info":"⨰⫟⨤↹⩛-4133=NaN","layer":2},{"info":"NaN⋛NaN=NaN","layer":1},{"info":"↹⩛10041⫁⪎↹⩛4554=↹⩛1043","layer":3},{"info":"↹⩛53244⇪⋭=NaN","layer":3},{"info":"↹⩛1043⫯⪬∳NaN=↹⩛3404","layer":2},{"info":"↹⩛31450↬↹⩛4503=NaN","layer":3},{"info":"↹⩛20502⨻⩈⩔↹⩛4554=↹⩛143503","layer":3},{"info":"NaN↼⊘⨖↹⩛143503=↹⩛330400","layer":2},{"info":"↹⩛3404⩨↹⩛330400=↹⩛-250","layer":1},{"info":"NaN∕⩚↹⩛-250=↹⩛-2131","layer":0}]} +{"id":758,"expression_no_base_symbol":"($2153$∛$2395$⫌⩹⨱)⇍⊗(⨑⩽⪐($1822$⇚⪠))≄⊠(⫯(⊢≑≆$2837$))⨜⨶($3415$⊱⇼⊻$2035$⪢($3022$⊋≦⊧$1003$))","expression":"(↹⩛13545∛↹⩛15031⫌⩹⨱)⇍⊗(⨑⩽⪐(↹⩛12234⇚⪠))≄⊠(⫯(⊢≑≆↹⩛21045))⨜⨶(↹⩛23451⊱⇼⊻↹⩛13231⪢(↹⩛21554⊋≦⊧↹⩛4351))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4357,"operation_count":12,"complexity_ratio":363.0833333333333,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2153,"base":6},"right_expr":{"type":"numeric_atoms","value":2395,"base":6}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1822,"base":6}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2837,"base":6}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3415,"base":6},"right_expr":{"type":"numeric_atoms","value":2035,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3022,"base":6},"right_expr":{"type":"numeric_atoms","value":1003,"base":6}}}}},"used_operators":["vXNesLlMH1","5uvYHDjeKN","EBcxylXtPf","w2537kitQq","AF7qkfDlqP","Loh9y4A90B","HiPekx5b7W","H6BK1Evt7c","27wFxooxGf","dWAJyo7jo9","FyVja0WsTP","oRDoc9rAEX"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"↹⩛10540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=2395, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=61","layer":2},{"info":"number node, value=1822","layer":4},{"info":"compute unary expreesion, input=1822, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=6639368","layer":3},{"info":"compute unary expreesion, input=6639368, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6639095","layer":2},{"info":"compute binary expreesion, left_input=61, right_input=-6639095, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2837","layer":4},{"info":"compute unary expreesion, input=2837, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11800","layer":3},{"info":"compute unary expreesion, input=11800, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂���⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-480812","layer":2},{"info":"number node, value=3415","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=2035, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=1003, 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=-1766","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-1766, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-480812, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, 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":6,"result_base":6,"text":"(↹⩛13545∛↹⩛15031⫌⩹⨱)⇍⊗(⨑⩽⪐(↹⩛12234⇚⪠))≄⊠(⫯(⊢≑≆↹⩛21045))⨜⨶(↹⩛23451⊱⇼⊻↹⩛13231⪢(↹⩛21554⊋≦⊧↹⩛4351))=↹⩛10540","reverse_text":"↹⩛10540=(↹⩛13545∛↹⩛15031⫌⩹⨱)⇍⊗(⨑⩽⪐(↹⩛12234⇚⪠))≄⊠(⫯(⊢≑≆↹⩛21045))⨜⨶(↹⩛23451⊱⇼⊻↹⩛13231⪢(↹⩛21554⊋≦⊧↹⩛4351))","cot":[{"info":"↹⩛13545∛↹⩛15031=↹⩛-3034","layer":3},{"info":"↹⩛-3034⫌⩹⨱=↹⩛141","layer":2},{"info":"↹⩛12234⇚⪠=↹⩛354145452","layer":3},{"info":"⨑⩽⪐↹⩛354145452=↹⩛-354144315","layer":2},{"info":"↹⩛141⇍⊗↹⩛-354144315=↹⩛-1044","layer":1},{"info":"⊢≑≆↹⩛21045=↹⩛130344","layer":3},{"info":"⫯↹⩛130344=↹⩛-14145552","layer":2},{"info":"↹⩛23451⊱⇼⊻↹⩛13231=↹⩛2002","layer":3},{"info":"↹⩛21554⊋≦⊧↹⩛4351=↹⩛-12102","layer":3},{"info":"↹⩛2002⪢↹⩛-12102=NaN","layer":2},{"info":"↹⩛-14145552⨜⨶NaN=NaN","layer":1},{"info":"↹⩛-1044≄⊠NaN=↹⩛10540","layer":0}]} +{"id":759,"expression_no_base_symbol":"((($7188$⋷$4725$)⋻⩜⩜(⩪∧⨌$1028$))≚⋢)⋝⋈⪟($2969$≧⫂∧$1123$)↳≱(⪸$2277$)⋥⋵⩄($3418$⋛$1972$)≁($6709$⨓$1458$)","expression":"(((↹⩛53140⋷↹⩛33513)⋻⩜⩜(⩪∧⨌↹⩛4432))≚⋢)⋝⋈⪟(↹⩛21425≧⫂∧↹⩛5111)↳≱(⪸↹⩛14313)⋥⋵⩄(↹⩛23454⋛↹⩛13044)≁(↹⩛51021⨓↹⩛10430)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":145972,"operation_count":12,"complexity_ratio":12164.333333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7188,"base":6},"right_expr":{"type":"numeric_atoms","value":4725,"base":6}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1028,"base":6}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2969,"base":6},"right_expr":{"type":"numeric_atoms","value":1123,"base":6}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2277,"base":6}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3418,"base":6},"right_expr":{"type":"numeric_atoms","value":1972,"base":6}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6709,"base":6},"right_expr":{"type":"numeric_atoms","value":1458,"base":6}}}}},"used_operators":["2DDjHMKMc0","MahUMFw56D","oDCm7WA9JY","23Mk6UjR3U","6iOiAJX1F8","7t3wd0Fuz7","JwTKLfZU96","Ph9nP6C5qx","86A5ENbKR9","8N2wDY1A35","YbUVn0Rbpy","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"↹⩛-225","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7188","layer":4},{"info":"number node, value=4725","layer":4},{"info":"compute binary expreesion, left_input=7188, right_input=4725, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2262","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=10280","layer":3},{"info":"compute binary expreesion, left_input=2262, right_input=10280, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4524","layer":2},{"info":"compute unary expreesion, input=4524, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=2969","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=1123, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=650","layer":3},{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-38500","layer":3},{"info":"compute binary expreesion, left_input=650, right_input=-38500, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=3418","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=1972, 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=-101430","layer":3},{"info":"number node, value=6709","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=6709, right_input=1458, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1461","layer":3},{"info":"compute binary expreesion, left_input=-101430, right_input=-1461, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-51397","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-51397, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=512426","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=512426, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-89","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛53140⋷↹⩛33513)⋻⩜⩜(⩪∧⨌↹⩛4432))≚⋢)⋝⋈⪟(↹⩛21425≧⫂∧↹⩛5111)↳≱(⪸↹⩛14313)⋥⋵⩄(↹⩛23454⋛↹⩛13044)≁(↹⩛51021⨓↹⩛10430)=↹⩛-225","reverse_text":"↹⩛-225=(((↹⩛53140⋷↹⩛33513)⋻⩜⩜(⩪∧⨌↹⩛4432))≚⋢)⋝⋈⪟(↹⩛21425≧⫂∧↹⩛5111)↳≱(⪸↹⩛14313)⋥⋵⩄(↹⩛23454⋛↹⩛13044)≁(↹⩛51021⨓↹⩛10430)","cot":[{"info":"↹⩛53140⋷↹⩛33513=↹⩛14250","layer":3},{"info":"⩪∧⨌↹⩛4432=↹⩛115332","layer":3},{"info":"↹⩛14250⋻⩜⩜↹⩛115332=↹⩛32540","layer":2},{"info":"↹⩛32540≚⋢=↹⩛-225","layer":1},{"info":"↹⩛21425≧⫂∧↹⩛5111=↹⩛3002","layer":3},{"info":"⪸↹⩛14313=↹⩛-454124","layer":3},{"info":"↹⩛3002↳≱↹⩛-454124=↹⩛0","layer":2},{"info":"↹⩛23454⋛↹⩛13044=↹⩛-2101330","layer":3},{"info":"↹⩛51021⨓↹⩛10430=↹⩛-10433","layer":3},{"info":"↹⩛-2101330≁↹⩛-10433=↹⩛-1033541","layer":2},{"info":"↹⩛0⋥⋵⩄↹⩛-1033541=↹⩛14552202","layer":1},{"info":"↹⩛-225⋝⋈⪟↹⩛14552202=↹⩛-225","layer":0}]} +{"id":760,"expression_no_base_symbol":"↑(∜⨇($3715$⪃⊛⇣$5243$∣($1422$⫃⨇$6600$)))","expression":"↑(∜⨇(↹⩛25111⪃⊛⇣↹⩛40135∣(↹⩛10330⫃⨇↹⩛50320)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2073,"operation_count":5,"complexity_ratio":414.6,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3715,"base":6},"right_expr":{"type":"numeric_atoms","value":5243,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1422,"base":6},"right_expr":{"type":"numeric_atoms","value":6600,"base":6}}}}},"used_operators":["tR7O2zTn5j","uFPyJr306J","PPChnnnBFF","rrgAzCduG9","09Ly4LVMIf"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3715","layer":4},{"info":"number node, value=5243","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=5243, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1422","layer":4},{"info":"number node, value=6600","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=6600, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-26432","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-26432, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-277","layer":2},{"info":"compute unary expreesion, input=-277, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↑(∜⨇(↹⩛25111⪃⊛⇣↹⩛40135∣(↹⩛10330⫃⨇↹⩛50320)))=NaN","reverse_text":"NaN=↑(∜⨇(↹⩛25111⪃⊛⇣↹⩛40135∣(↹⩛10330⫃⨇↹⩛50320)))","cot":[{"info":"↹⩛25111⪃⊛⇣↹⩛40135=↹⩛5414","layer":3},{"info":"↹⩛10330⫃⨇↹⩛50320=↹⩛-322212","layer":3},{"info":"↹⩛5414∣↹⩛-322212=↹⩛-1141","layer":2},{"info":"∜⨇↹⩛-1141=↹⩛0","layer":1},{"info":"↑↹⩛0=NaN","layer":0}]} +{"id":761,"expression_no_base_symbol":"((⇁⨣⪵$1302$)⨚$1627$∇⊂⋱$2221$⋝⋈⪟$1348$≚⊃≕$2497$↼⊘⨖($1083$⇞))↹⊜(((∷≠$5357$)⩵∡$3297$⊱⇼⊻$6706$)⊢($4304$≀⫉$6673$⩚⊴⇥($4665$≓∲$5607$)))","expression":"((⇁⨣⪵↹⩛10010)⨚↹⩛11311∇⊂⋱↹⩛14141⋝⋈⪟↹⩛10124≚⊃≕↹⩛15321↼⊘⨖(↹⩛5003⇞))↹⊜(((∷≠↹⩛40445)⩵∡↹⩛23133⊱⇼⊻↹⩛51014)⊢(↹⩛31532≀⫉↹⩛50521⩚⊴⇥(↹⩛33333≓∲↹⩛41543)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":351,"operation_count":15,"complexity_ratio":23.4,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1302,"base":6}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1627,"base":6},"right_expr":{"type":"numeric_atoms","value":2221,"base":6}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1348,"base":6},"right_expr":{"type":"numeric_atoms","value":2497,"base":6}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1083,"base":6}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":5357,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3297,"base":6},"right_expr":{"type":"numeric_atoms","value":6706,"base":6}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4304,"base":6},"right_expr":{"type":"numeric_atoms","value":6673,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4665,"base":6},"right_expr":{"type":"numeric_atoms","value":5607,"base":6}}}}},"used_operators":["9bazX3JMtO","2DDjHMKMc0","nREPSIbpBE","inkyxCbjAn","nhYeJWJD5X","bPywburJMS","Bmrmz2XGnR","5JYyxRJd4f","5twsqlHp2o","Y7wcNGrDQJ","QiR2Oyf5Xj","FyVja0WsTP","NTOWxs364D","oZj3VtZNQx","s1XTVnmDOJ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","B5M0gjZbta","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","glklzrTFfD","tifHPKVTfV","7j4O788W3g","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1627","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=2221, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2708","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2708, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=2497, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=4245","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=4245, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8268, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5357","layer":4},{"info":"compute unary expreesion, input=5357, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5357","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=6706","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=6706, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=5357, right_input=434, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-10401","layer":2},{"info":"number node, value=4304","layer":4},{"info":"number node, value=6673","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=6673, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4665","layer":4},{"info":"number node, value=5607","layer":4},{"info":"compute binary expreesion, left_input=4665, right_input=5607, 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=47433","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=47433, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-50376","layer":2},{"info":"compute binary expreesion, left_input=-10401, right_input=-50376, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=20558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20558, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⇁⨣⪵↹⩛10010)⨚↹⩛11311∇⊂⋱↹⩛14141⋝⋈⪟↹⩛10124≚⊃≕↹⩛15321↼⊘⨖(↹⩛5003⇞))↹⊜(((∷≠↹⩛40445)⩵∡↹⩛23133⊱⇼⊻↹⩛51014)⊢(↹⩛31532≀⫉↹⩛50521⩚⊴⇥(↹⩛33333≓∲↹⩛41543)))=NaN","reverse_text":"NaN=((⇁⨣⪵↹⩛10010)⨚↹⩛11311∇⊂⋱↹⩛14141⋝⋈⪟↹⩛10124≚⊃≕↹⩛15321↼⊘⨖(↹⩛5003⇞))↹⊜(((∷≠↹⩛40445)⩵∡↹⩛23133⊱⇼⊻↹⩛51014)⊢(↹⩛31532≀⫉↹⩛50521⩚⊴⇥(↹⩛33333≓∲↹⩛41543)))","cot":[{"info":"⇁⨣⪵↹⩛10010=NaN","layer":3},{"info":"↹⩛11311∇⊂⋱↹⩛14141=↹⩛20312","layer":3},{"info":"NaN⨚↹⩛20312=NaN","layer":2},{"info":"↹⩛10124≚⊃≕↹⩛15321=↹⩛151","layer":3},{"info":"↹⩛5003⇞=↹⩛31353","layer":3},{"info":"↹⩛151↼⊘⨖↹⩛31353=↹⩛102140","layer":2},{"info":"NaN⋝⋈⪟↹⩛102140=NaN","layer":1},{"info":"∷≠↹⩛40445=↹⩛40445","layer":3},{"info":"↹⩛23133⊱⇼⊻↹⩛51014=↹⩛2002","layer":3},{"info":"↹⩛40445⩵∡↹⩛2002=↹⩛-120053","layer":2},{"info":"↹⩛31532≀⫉↹⩛50521=↹⩛21022","layer":3},{"info":"↹⩛33333≓∲↹⩛41543=↹⩛1003333","layer":3},{"info":"↹⩛21022⩚⊴⇥↹⩛1003333=↹⩛-1025120","layer":2},{"info":"↹⩛-120053⊢↹⩛-1025120=↹⩛235102","layer":1},{"info":"NaN↹⊜↹⩛235102=NaN","layer":0}]} +{"id":762,"expression_no_base_symbol":"(⪓⩚($1704$∝$2221$))↢(($5013$⫦⪉$1910$)≝⊿($1222$⊠≄⫣))≒∊(($6558$⫲≸⪮$1105$)∥⊢⊲($5792$⩼⇪↪$5391$)⩘)","expression":"(⪓⩚(↹⩛11520∝↹⩛14141))↢((↹⩛35113⫦⪉↹⩛12502)≝⊿(↹⩛5354⊠≄⫣))≒∊((↹⩛50210⫲≸⪮↹⩛5041)∥⊢⊲(↹⩛42452⩼⇪↪↹⩛40543)⩘)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10062,"operation_count":11,"complexity_ratio":914.7272727272727,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1704,"base":6},"right_expr":{"type":"numeric_atoms","value":2221,"base":6}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5013,"base":6},"right_expr":{"type":"numeric_atoms","value":1910,"base":6}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1222,"base":6}}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6558,"base":6},"right_expr":{"type":"numeric_atoms","value":1105,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5792,"base":6},"right_expr":{"type":"numeric_atoms","value":5391,"base":6}}}}},"used_operators":["5KTvxBwnZo","WR6HLWljOP","u0R0Locfp2","cTDWOvIxvz","OKKcZfAt5B","wscyQdcy20","DIvbN7qnHd","wvHyciQT5X","v1UQAVDJRr","P3lXMJvFrc","ocnLzx9CaJ"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","9ICcGScMcE","dfKe02y8D2","EBcxylXtPf","rGHVDoGpnC","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛4252","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=2221, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1709","layer":3},{"info":"compute unary expreesion, input=1709, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=5013","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=5013, right_input=1910, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5126","layer":3},{"info":"number node, value=1222","layer":4},{"info":"compute unary expreesion, input=1222, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5126, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=4593","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=4593, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"number node, value=6558","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=6558, right_input=1105, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6558","layer":3},{"info":"number node, value=5792","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=5792, right_input=5391, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-26936","layer":3},{"info":"compute binary expreesion, left_input=6558, right_input=-26936, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=67, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=968","layer":0}],"base":6,"result_base":6,"text":"(⪓⩚(↹⩛11520∝↹⩛14141))↢((↹⩛35113⫦⪉↹⩛12502)≝⊿(↹⩛5354⊠≄⫣))≒∊((↹⩛50210⫲≸⪮↹⩛5041)∥⊢⊲(↹⩛42452⩼⇪↪↹⩛40543)⩘)=↹⩛4252","reverse_text":"↹⩛4252=(⪓⩚(↹⩛11520∝↹⩛14141))↢((↹⩛35113⫦⪉↹⩛12502)≝⊿(↹⩛5354⊠≄⫣))≒∊((↹⩛50210⫲≸⪮↹⩛5041)∥⊢⊲(↹⩛42452⩼⇪↪↹⩛40543)⩘)","cot":[{"info":"↹⩛11520∝↹⩛14141=↹⩛11525","layer":3},{"info":"⪓⩚↹⩛11525=↹⩛1550","layer":2},{"info":"↹⩛35113⫦⪉↹⩛12502=↹⩛-35422","layer":3},{"info":"↹⩛5354⊠≄⫣=↹⩛0","layer":3},{"info":"↹⩛-35422≝⊿↹⩛0=↹⩛33133","layer":2},{"info":"↹⩛1550↢↹⩛33133=↹⩛-2124","layer":1},{"info":"↹⩛50210⫲≸⪮↹⩛5041=↹⩛50210","layer":3},{"info":"↹⩛42452⩼⇪↪↹⩛40543=↹⩛-324412","layer":3},{"info":"↹⩛50210∥⊢⊲↹⩛-324412=NaN","layer":2},{"info":"NaN⩘=↹⩛151","layer":1},{"info":"↹⩛-2124≒∊↹⩛151=↹⩛4252","layer":0}]} +{"id":763,"expression_no_base_symbol":"((⨵($1981$⊬⫿⊭))%($3471$≝⊰⇂)⫗⊷⫓($2347$≦↸$4266$))⪇≇⋚(∑⇻≧$1563$⨿$3334$)∋(⨈⪑($1081$⪗))","expression":"((⨵(↹⩛13101⊬⫿⊭))%(↹⩛24023≝⊰⇂)⫗⊷⫓(↹⩛14511≦↸↹⩛31430))⪇≇⋚(∑⇻≧↹⩛11123⨿↹⩛23234)∋(⨈⪑(↹⩛5001⪗))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4672,"operation_count":12,"complexity_ratio":389.3333333333333,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1981,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":3471,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2347,"base":6},"right_expr":{"type":"numeric_atoms","value":4266,"base":6}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1563,"base":6},"right_expr":{"type":"numeric_atoms","value":3334,"base":6}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1081,"base":6}}}}},"used_operators":["3sJ7IOPOlU","k8jYdgA6NY","Tl3Y52tvF8","v0DYgG9ikt","zashukvMKz","htSmYCowi5","RygbFNSyEJ","ukq6epAj5P","l1M9WJ3V7u","abYXlopdE0","mp94q5OcYM","VEQNXA0ZBg"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","DlLNRPXxWL","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"compute unary expreesion, input=1981, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-5943","layer":3},{"info":"compute unary expreesion, input=-5943, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=145487","layer":2},{"info":"number node, value=3471","layer":4},{"info":"compute unary expreesion, input=3471, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=2347","layer":4},{"info":"number node, value=4266","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=4266, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12545","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12545, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=145487, right_input=-134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-37","layer":1},{"info":"number node, value=1563","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=3334, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-51216","layer":1},{"info":"compute binary expreesion, left_input=-37, right_input=-51216, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((⨵(↹⩛13101⊬⫿⊭))%(↹⩛24023≝⊰⇂)⫗⊷⫓(↹⩛14511≦↸↹⩛31430))⪇≇⋚(∑⇻≧↹⩛11123⨿↹⩛23234)∋(⨈⪑(↹⩛5001⪗))=↹⩛0","reverse_text":"↹⩛0=((⨵(↹⩛13101⊬⫿⊭))%(↹⩛24023≝⊰⇂)⫗⊷⫓(↹⩛14511≦↸↹⩛31430))⪇≇⋚(∑⇻≧↹⩛11123⨿↹⩛23234)∋(⨈⪑(↹⩛5001⪗))","cot":[{"info":"↹⩛13101⊬⫿⊭=↹⩛-43303","layer":3},{"info":"⨵↹⩛-43303=↹⩛3041315","layer":2},{"info":"↹⩛24023≝⊰⇂=↹⩛0","layer":3},{"info":"↹⩛14511≦↸↹⩛31430=↹⩛-134025","layer":3},{"info":"↹⩛0⫗⊷⫓↹⩛-134025=↹⩛-342","layer":2},{"info":"↹⩛3041315%↹⩛-342=↹⩛-101","layer":1},{"info":"↹⩛11123⨿↹⩛23234=↹⩛-1251","layer":3},{"info":"∑⇻≧↹⩛-1251=↹⩛-3540","layer":2},{"info":"↹⩛5001⪗=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"↹⩛-3540∋NaN=↹⩛-1033040","layer":1},{"info":"↹⩛-101⪇≇⋚↹⩛-1033040=↹⩛0","layer":0}]} +{"id":764,"expression_no_base_symbol":"(⊥$1591$)⇼⇔∾$1588$∌↝$2062$+(⪨⨬($2077$≳⇉$5003$))⨵⪆(⇾⩊⇾($2164$⪨≂$4150$))↳∿⪆($3947$⩁⩘$3404$)∳⫺($7202$∙∹∝$6236$)","expression":"(⊥↹⩛11211)⇼⇔∾↹⩛11204∌↝↹⩛13314+(⪨⨬(↹⩛13341≳⇉↹⩛35055))⨵⪆(⇾⩊⇾(↹⩛14004⪨≂↹⩛31114))↳∿⪆(↹⩛30135⩁⩘↹⩛23432)∳⫺(↹⩛53202∙∹∝↹⩛44512)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":268756962,"operation_count":13,"complexity_ratio":20673612.46153846,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1591,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1588,"base":6},"right_expr":{"type":"numeric_atoms","value":2062,"base":6}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2077,"base":6},"right_expr":{"type":"numeric_atoms","value":5003,"base":6}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2164,"base":6},"right_expr":{"type":"numeric_atoms","value":4150,"base":6}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3947,"base":6},"right_expr":{"type":"numeric_atoms","value":3404,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7202,"base":6},"right_expr":{"type":"numeric_atoms","value":6236,"base":6}}}}},"used_operators":["2DQ55sFlQl","W4YGzv6Whe","tifHPKVTfV","Q3PJZHRvZv","9Isq31Ruls","5obUd6DV38","V0kx6qeWkN","Cw4SuJJGHO","bx9Z9DAK5y","sdazOOVcIp","AzXXKTstlj","gub5Cegaqo","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","T2fj7uvVaJ","nlCqmYiOvY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DpFCA1CohY","IWmyXbctLI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1588","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=2062, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2077","layer":4},{"info":"number node, value=5003","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=5003, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2164","layer":4},{"info":"number node, value=4150","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=4150, 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=-3870","layer":3},{"info":"compute unary expreesion, input=-3870, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=28344","layer":2},{"info":"number node, value=3947","layer":4},{"info":"number node, value=3404","layer":4},{"info":"compute binary expreesion, left_input=3947, right_input=3404, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14564","layer":3},{"info":"number node, value=7202","layer":4},{"info":"number node, value=6236","layer":4},{"info":"compute binary expreesion, left_input=7202, right_input=6236, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14564, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=28344, right_input=-260, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⊥↹⩛11211)⇼⇔∾↹⩛11204∌↝↹⩛13314+(⪨⨬(↹⩛13341≳⇉↹⩛35055))⨵⪆(⇾⩊⇾(↹⩛14004⪨≂↹⩛31114))↳∿⪆(↹⩛30135⩁⩘↹⩛23432)∳⫺(↹⩛53202∙∹∝↹⩛44512)=↹⩛424","reverse_text":"↹⩛424=(⊥↹⩛11211)⇼⇔∾↹⩛11204∌↝↹⩛13314+(⪨⨬(↹⩛13341≳⇉↹⩛35055))⨵⪆(⇾⩊⇾(↹⩛14004⪨≂↹⩛31114))↳∿⪆(↹⩛30135⩁⩘↹⩛23432)∳⫺(↹⩛53202∙∹∝↹⩛44512)","cot":[{"info":"⊥↹⩛11211=NaN","layer":3},{"info":"↹⩛11204∌↝↹⩛13314=↹⩛0","layer":3},{"info":"NaN⇼⇔∾↹⩛0=NaN","layer":2},{"info":"↹⩛13341≳⇉↹⩛35055=NaN","layer":3},{"info":"⪨⨬NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"↹⩛14004⪨≂↹⩛31114=↹⩛-25530","layer":3},{"info":"⇾⩊⇾↹⩛-25530=↹⩛335120","layer":2},{"info":"↹⩛30135⩁⩘↹⩛23432=↹⩛151232","layer":3},{"info":"↹⩛53202∙∹∝↹⩛44512=↹⩛0","layer":3},{"info":"↹⩛151232∳⫺↹⩛0=↹⩛-1112","layer":2},{"info":"↹⩛335120↳∿⪆↹⩛-1112=NaN","layer":1},{"info":"NaN⨵⪆NaN=↹⩛424","layer":0}]} +{"id":765,"expression_no_base_symbol":"($7486$∴$4329$∣(⊙↵-$7072$))≝⊿(($3956$⪁$1966$)⩍⋽⫝̸(↩⪖$1039$))∖($4265$⩼⇪↪$5570$/($2497$∪⫐$3187$))⩼⇪↪($6628$⊉↱≁$6561$⨽($1008$⨑≵⋬$6790$))","expression":"(↹⩛54354∴↹⩛32013∣(⊙↵-↹⩛52424))≝⊿((↹⩛30152⪁↹⩛13034)⩍⋽⫝̸(↩⪖↹⩛4451))∖(↹⩛31425⩼⇪↪↹⩛41442/(↹⩛15321∪⫐↹⩛22431))⩼⇪↪(↹���50404⊉↱≁↹⩛50213⨽(↹⩛4400⨑≵⋬↹⩛51234))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":48942713,"operation_count":15,"complexity_ratio":3262847.533333333,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":7486,"base":6},"right_expr":{"type":"numeric_atoms","value":4329,"base":6}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7072,"base":6}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3956,"base":6},"right_expr":{"type":"numeric_atoms","value":1966,"base":6}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1039,"base":6}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4265,"base":6},"right_expr":{"type":"numeric_atoms","value":5570,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2497,"base":6},"right_expr":{"type":"numeric_atoms","value":3187,"base":6}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6628,"base":6},"right_expr":{"type":"numeric_atoms","value":6561,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1008,"base":6},"right_expr":{"type":"numeric_atoms","value":6790,"base":6}}}}},"used_operators":["tXD093vOjl","OKKcZfAt5B","PPChnnnBFF","hrf7POJlIJ","oWn0xqSxBt","BiWNJpBvwn","I7sXao9hZE","fG6uBQFnGz","ocnLzx9CaJ","XhwjNDsVaA","7YooWSwCyH","8HhzD0ZcuI","w2P8NbNXyL","XnXgA4xnOs"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","12rbrZMWeM","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7486","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=7486, right_input=4329, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=16620","layer":3},{"info":"number node, value=7072","layer":4},{"info":"compute unary expreesion, input=7072, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=16620, right_input=-1, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-15663","layer":2},{"info":"number node, value=3956","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=3956, right_input=1966, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9216","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9216, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15663, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"number node, value=4265","layer":4},{"info":"number node, value=5570","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=5570, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-31243","layer":3},{"info":"number node, value=2497","layer":4},{"info":"number node, value=3187","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=3187, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2497","layer":3},{"info":"compute binary expreesion, left_input=-31243, right_input=2497, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-13","layer":2},{"info":"number node, value=6628","layer":4},{"info":"number node, value=6561","layer":4},{"info":"compute binary expreesion, left_input=6628, right_input=6561, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=26862","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=6790","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=6790, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-41111","layer":3},{"info":"compute binary expreesion, left_input=26862, right_input=-41111, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-13, right_input=-inf, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, 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":6,"result_base":6,"text":"(↹⩛54354∴↹⩛32013∣(⊙↵-↹⩛52424))≝⊿((↹⩛30152⪁↹⩛13034)⩍⋽⫝̸(↩⪖↹⩛4451))∖(↹⩛31425⩼⇪↪↹⩛41442/(↹⩛15321∪⫐↹⩛22431))⩼⇪↪(↹⩛50404⊉↱≁↹⩛50213⨽(↹⩛4400⨑≵⋬↹⩛51234))=↹⩛0","reverse_text":"↹⩛0=(↹⩛54354∴↹⩛32013∣(⊙↵-↹⩛52424))≝⊿((↹⩛30152⪁↹⩛13034)⩍⋽⫝̸(↩⪖↹⩛4451))∖(↹⩛31425⩼⇪↪↹⩛41442/(↹⩛15321∪⫐↹⩛22431))⩼⇪↪(↹⩛50404⊉↱≁↹⩛50213⨽(↹⩛4400⨑≵⋬↹⩛51234))","cot":[{"info":"↹⩛54354∴↹⩛32013=↹⩛204540","layer":3},{"info":"⊙↵-↹⩛52424=↹⩛-1","layer":3},{"info":"↹⩛204540∣↹⩛-1=↹⩛-200303","layer":2},{"info":"↹⩛30152⪁↹⩛13034=NaN","layer":3},{"info":"↩⪖↹⩛4451=↹⩛-110400","layer":3},{"info":"NaN⩍⋽⫝̸↹⩛-110400=NaN","layer":2},{"info":"↹⩛-200303≝⊿NaN=NaN","layer":1},{"info":"↹⩛31425⩼⇪↪↹⩛41442=↹⩛-400351","layer":3},{"info":"↹⩛15321∪⫐↹⩛22431=↹⩛15321","layer":3},{"info":"↹⩛-400351/↹⩛15321=↹⩛-21","layer":2},{"info":"↹⩛50404⊉↱≁↹⩛50213=↹⩛324210","layer":3},{"info":"↹⩛4400⨑≵⋬↹⩛51234=↹⩛-514155","layer":3},{"info":"↹⩛324210⨽↹⩛-514155=-Inf","layer":2},{"info":"↹⩛-21⩼⇪↪-Inf=Inf","layer":1},{"info":"NaN∖Inf=↹⩛0","layer":0}]} +{"id":766,"expression_no_base_symbol":"(($5898$⪔$1386$)⋣⋖($3995$⩹$3425$)≥⨤⩑(∓⪦$2856$⩌⋺$1811$))⊦⊿","expression":"((↹⩛43150⪔↹⩛10230)⋣⋖(↹⩛30255⩹↹⩛23505)≥⨤⩑(∓⪦↹⩛21120⩌⋺↹⩛12215))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":158674,"operation_count":7,"complexity_ratio":22667.714285714286,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5898,"base":6},"right_expr":{"type":"numeric_atoms","value":1386,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3995,"base":6},"right_expr":{"type":"numeric_atoms","value":3425,"base":6}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2856,"base":6},"right_expr":{"type":"numeric_atoms","value":1811,"base":6}}}}},"used_operators":["14qkJME0vr","gJLn6v0xnP","J0M6qkBnIM","GjBEYRfMaF","2Wsdkap16l","D309nIvmXG","g7Hmc5v1ko"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛-20511","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5898","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=5898, right_input=1386, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3995","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=3995, right_input=3425, 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=3423","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=3423, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=450","layer":2},{"info":"number node, value=2856","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=1811, 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=-4788","layer":3},{"info":"compute unary expreesion, input=-4788, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-11222","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-11222, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=900","layer":1},{"info":"compute unary expreesion, input=900, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-2779","layer":0}],"base":6,"result_base":6,"text":"((↹⩛43150⪔↹⩛10230)⋣⋖(↹⩛30255⩹↹⩛23505)≥⨤⩑(∓⪦↹⩛21120⩌⋺↹⩛12215))⊦⊿=↹⩛-20511","reverse_text":"↹⩛-20511=((↹⩛43150⪔↹⩛10230)⋣⋖(↹⩛30255⩹↹⩛23505)≥⨤⩑(∓⪦↹⩛21120⩌⋺↹⩛12215))⊦⊿","cot":[{"info":"↹⩛43150⪔↹⩛10230=↹⩛2030","layer":3},{"info":"↹⩛30255⩹↹⩛23505=↹⩛23503","layer":3},{"info":"↹⩛2030⋣⋖↹⩛23503=↹⩛2030","layer":2},{"info":"↹⩛21120⩌⋺↹⩛12215=↹⩛-34100","layer":3},{"info":"∓⪦↹⩛-34100=↹⩛-123542","layer":2},{"info":"↹⩛2030≥⨤⩑↹⩛-123542=↹⩛4100","layer":1},{"info":"↹⩛4100⊦⊿=↹⩛-20511","layer":0}]} +{"id":767,"expression_no_base_symbol":"↩($1757$↼⊘⨖$7350$⊍⩺⋍(⊽$4868$))⫸⇳$3653$∑⇟⊟$1285$⨽(↓⇌$5768$)","expression":"↩(↹⩛12045↼⊘⨖↹⩛54010⊍⩺⋍(⊽↹⩛34312))⫸⇳↹⩛24525∑⇟⊟↹⩛5541⨽(↓⇌↹⩛42412)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":263,"operation_count":8,"complexity_ratio":32.875,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1757,"base":6},"right_expr":{"type":"numeric_atoms","value":7350,"base":6}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":4868,"base":6}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3653,"base":6},"right_expr":{"type":"numeric_atoms","value":1285,"base":6}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":5768,"base":6}}}}},"used_operators":["jLgFTUHLKL","gx7XJ7hdpj","OXDGMFPWZM","bPywburJMS","QxG7OkqoLX","8HhzD0ZcuI","U7g4x0WXJJ","PxpmPgHHJV"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":4},{"info":"number node, value=7350","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=7350, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14478","layer":3},{"info":"number node, value=4868","layer":4},{"info":"compute unary expreesion, input=4868, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=11258","layer":3},{"info":"compute binary expreesion, left_input=14478, right_input=11258, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3653","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=1285, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5768","layer":4},{"info":"compute unary expreesion, input=5768, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5768","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5768, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↩(↹⩛12045↼⊘⨖↹⩛54010⊍⩺⋍(⊽↹⩛34312))⫸⇳↹⩛24525∑⇟⊟↹⩛5541⨽(↓⇌↹⩛42412)=NaN","reverse_text":"NaN=↩(↹⩛12045↼⊘⨖↹⩛54010⊍⩺⋍(⊽↹⩛34312))⫸⇳↹⩛24525∑⇟⊟↹⩛5541⨽(↓⇌↹⩛42412)","cot":[{"info":"↹⩛12045↼⊘⨖↹⩛54010=↹⩛151010","layer":3},{"info":"⊽↹⩛34312=↹⩛124042","layer":3},{"info":"↹⩛151010⊍⩺⋍↹⩛124042=NaN","layer":2},{"info":"↹⩛24525∑⇟⊟↹⩛5541=NaN","layer":3},{"info":"↓⇌↹⩛42412=↹⩛42412","layer":3},{"info":"NaN⨽↹⩛42412=NaN","layer":2},{"info":"NaN⫸⇳NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]} +{"id":768,"expression_no_base_symbol":"($7342$∣$1411$⩒⫫$7179$≠≀$1194$)↢((⪡⇡≛$1890$)↬($1271$⪨≂$1639$))∪⫐$2824$⫦⪉$4268$∷($3503$⩹$3467$)⩹$6758$⇂≾⫗$1747$↙(↩$8995$)","expression":"(↹⩛53554∣↹⩛10311⩒⫫↹⩛53123≠≀↹⩛5310)↢((⪡⇡≛↹⩛12430)↬(↹⩛5515⪨≂↹⩛11331))∪⫐↹⩛21024⫦⪉↹⩛31432∷(↹⩛24115⩹↹⩛24015)⩹↹⩛51142⇂≾⫗↹⩛12031↙(↩↹⩛105351)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":218,"operation_count":15,"complexity_ratio":14.533333333333333,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":7342,"base":6},"right_expr":{"type":"numeric_atoms","value":1411,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":7179,"base":6},"right_expr":{"type":"numeric_atoms","value":1194,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1890,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1271,"base":6},"right_expr":{"type":"numeric_atoms","value":1639,"base":6}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2824,"base":6},"right_expr":{"type":"numeric_atoms","value":4268,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3503,"base":6},"right_expr":{"type":"numeric_atoms","value":3467,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6758,"base":6},"right_expr":{"type":"numeric_atoms","value":1747,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":8995,"base":6}}}}},"used_operators":["7YooWSwCyH","WR6HLWljOP","KFSx94NKJn","PPChnnnBFF","IwW236VD4Y","B5M0gjZbta","qL4PrbW1Dq","sdazOOVcIp","2Wsdkap16l","D3AQDKkPcf","wscyQdcy20","yyfyN0ffXY","aBQ6xLxuTc","jLgFTUHLKL"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rGHVDoGpnC","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","tmPS8pqC7x","DpFCA1CohY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"↹⩛50204","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7342","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=7342, right_input=1411, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=7342","layer":3},{"info":"number node, value=7179","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=7179, right_input=1194, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-14052","layer":3},{"info":"compute binary expreesion, left_input=7342, right_input=-14052, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7040","layer":2},{"info":"number node, value=1890","layer":4},{"info":"compute unary expreesion, input=1890, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1890","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=1639, 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=-634","layer":3},{"info":"compute binary expreesion, left_input=-1890, right_input=-634, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7040, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6556","layer":1},{"info":"number node, value=2824","layer":4},{"info":"number node, value=4268","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=4268, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-748","layer":3},{"info":"number node, value=3503","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=3503, right_input=3467, 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=3465","layer":3},{"info":"compute binary expreesion, left_input=-748, right_input=3465, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3465","layer":2},{"info":"number node, value=6758","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=6758, right_input=1747, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=8995","layer":4},{"info":"compute unary expreesion, input=8995, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-69180","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-69180, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=3465, right_input=-676, 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=-678","layer":1},{"info":"compute binary expreesion, left_input=6556, right_input=-678, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6556","layer":0}],"base":6,"result_base":6,"text":"(↹⩛53554∣↹⩛10311⩒⫫↹⩛53123≠≀↹⩛5310)↢((⪡⇡≛↹⩛12430)↬(↹⩛5515⪨≂↹⩛11331))∪⫐↹⩛21024⫦⪉↹⩛31432∷(↹⩛24115⩹↹⩛24015)⩹↹⩛51142⇂≾⫗↹⩛12031↙(↩↹⩛105351)=↹⩛50204","reverse_text":"↹⩛50204=(↹⩛53554∣↹⩛10311⩒⫫↹⩛53123≠≀↹⩛5310)↢((⪡⇡≛↹⩛12430)↬(↹⩛5515⪨≂↹⩛11331))∪⫐↹⩛21024⫦⪉↹⩛31432∷(↹⩛24115⩹↹⩛24015)⩹↹⩛51142⇂≾⫗↹⩛12031↙(↩↹⩛105351)","cot":[{"info":"↹⩛53554∣↹⩛10311=↹⩛53554","layer":3},{"info":"↹⩛53123≠≀↹⩛5310=↹⩛-145020","layer":3},{"info":"↹⩛53554⩒⫫↹⩛-145020=↹⩛52332","layer":2},{"info":"⪡⇡≛↹⩛12430=↹⩛-12430","layer":3},{"info":"↹⩛5515⪨≂↹⩛11331=↹⩛-2534","layer":3},{"info":"↹⩛-12430↬↹⩛-2534=NaN","layer":2},{"info":"↹⩛52332↢NaN=↹⩛50204","layer":1},{"info":"↹⩛21024⫦⪉↹⩛31432=↹⩛-3244","layer":3},{"info":"↹��24115⩹↹⩛24015=↹⩛24013","layer":3},{"info":"↹⩛-3244∷↹⩛24013=↹⩛24013","layer":2},{"info":"↹⩛51142⇂≾⫗↹⩛12031=↹⩛-3044","layer":3},{"info":"↩↹⩛105351=↹⩛-1252140","layer":3},{"info":"↹⩛-3044↙↹⩛-1252140=↹⩛-3044","layer":2},{"info":"↹⩛24013⩹↹⩛-3044=↹⩛-3050","layer":1},{"info":"↹⩛50204∪⫐↹⩛-3050=↹⩛50204","layer":0}]} +{"id":769,"expression_no_base_symbol":"(($2212$⫘$1955$)∳⫺($1080$∴≳≥)⪨⊡($7189$⪶≀⋏$3109$)⪎↠($1029$⫥∨⫟$2914$))⫯⪬∳((($2490$⪠⩆⊳)+⇶⊼$1179$⫁$1668$)⩒⫫(($1443$⩍⋽⫝̸$1192$)⇚⪠))","expression":"((↹⩛14124⫘↹⩛13015)∳⫺(↹⩛5000∴≳≥)⪨⊡(↹⩛53141⪶≀⋏↹⩛22221)⪎↠(↹⩛4433⫥∨⫟↹⩛21254))⫯⪬∳(((↹⩛15310⪠⩆⊳)+⇶⊼↹⩛5243⫁↹⩛11420)⩒⫫((↹⩛10403⩍⋽⫝̸↹⩛5304)⇚⪠))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2971,"operation_count":14,"complexity_ratio":212.21428571428572,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2212,"base":6},"right_expr":{"type":"numeric_atoms","value":1955,"base":6}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1080,"base":6}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":7189,"base":6},"right_expr":{"type":"numeric_atoms","value":3109,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1029,"base":6},"right_expr":{"type":"numeric_atoms","value":2914,"base":6}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2490,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1179,"base":6},"right_expr":{"type":"numeric_atoms","value":1668,"base":6}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1443,"base":6},"right_expr":{"type":"numeric_atoms","value":1192,"base":6}}}}},"used_operators":["d7ASUq0ydm","kuIXHzHcAH","AzXXKTstlj","48vC8HMD2b","a3N2hFLK0J","3tVxb0NHM4","zR4jO40bMj","KYD54nUTWz","KFSx94NKJn","TpPTUOHfaN","JLbD19bQDL","0ajvFaJAv0","Loh9y4A90B","BiWNJpBvwn"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛22154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2212","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=1955, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2605717","layer":3},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=4320","layer":3},{"info":"compute binary expreesion, left_input=2605717, right_input=4320, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=7189","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=7189, right_input=3109, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-28017","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2914, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-28017, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-55, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1009","layer":1},{"info":"number node, value=2490","layer":4},{"info":"compute unary expreesion, input=2490, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1668, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1443","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1192, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=246","layer":3},{"info":"compute unary expreesion, input=246, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=32964","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32964, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1009, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3094","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14124⫘↹⩛13015)∳⫺(↹⩛5000∴≳≥)⪨⊡(↹⩛53141⪶≀⋏↹⩛22221)⪎↠(↹⩛4433⫥∨⫟↹⩛21254))⫯⪬∳(((↹⩛15310⪠⩆⊳)+⇶⊼↹⩛5243⫁↹⩛11420)⩒⫫((↹⩛10403⩍⋽⫝̸↹⩛5304)⇚⪠))=↹⩛22154","reverse_text":"↹⩛22154=((↹⩛14124⫘↹⩛13015)∳⫺(↹⩛5000∴≳≥)⪨⊡(↹⩛53141⪶≀⋏↹⩛22221)⪎↠(↹⩛4433⫥∨⫟↹⩛21254))⫯⪬∳(((↹⩛15310⪠⩆⊳)+⇶⊼↹⩛5243⫁↹⩛11420)⩒⫫((↹⩛10403⩍⋽⫝̸↹⩛5304)⇚⪠))","cot":[{"info":"↹⩛14124⫘↹⩛13015=↹⩛131503301","layer":3},{"info":"↹⩛5000∴≳≥=↹⩛32000","layer":3},{"info":"↹⩛131503301∳⫺↹⩛32000=↹⩛-1112","layer":2},{"info":"↹⩛53141⪶≀⋏↹⩛22221=↹⩛-333413","layer":3},{"info":"↹⩛4433⫥∨⫟↹⩛21254=NaN","layer":3},{"info":"↹⩛-333413⪎↠NaN=↹⩛-131","layer":2},{"info":"↹⩛-1112⪨⊡↹⩛-131=↹⩛4401","layer":1},{"info":"↹⩛15310⪠⩆⊳=↹⩛0","layer":3},{"info":"↹⩛5243⫁↹⩛11420=↹⩛424","layer":3},{"info":"↹⩛0+⇶⊼↹⩛424=NaN","layer":2},{"info":"↹⩛10403⩍⋽⫝̸↹⩛5304=↹⩛1050","layer":3},{"info":"↹⩛1050⇚⪠=↹⩛412340","layer":2},{"info":"NaN⩒⫫↹⩛412340=NaN","layer":1},{"info":"↹⩛4401⫯⪬∳NaN=↹⩛22154","layer":0}]} +{"id":770,"expression_no_base_symbol":"(($1660$↼⊘⨖$2898$)⇻⋧≁($1602$≝⊰⇂))⇡⇂((⪸$1149$)⊋(⩷$5320$))⨚(($2658$-$1270$)⫁⪎$1094$⪝$6836$∼(⋗⩴⪓($4068$∪⫐$2693$)))","expression":"((↹⩛11404↼⊘⨖↹⩛21230)⇻⋧≁(↹⩛11230≝⊰⇂))⇡⇂((⪸↹⩛5153)⊋(⩷↹⩛40344))⨚((↹⩛20150-↹⩛5514)⫁⪎↹⩛5022⪝↹⩛51352∼(⋗⩴⪓(↹⩛30500∪⫐↹⩛20245)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2783146,"operation_count":14,"complexity_ratio":198796.14285714287,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1660,"base":6},"right_expr":{"type":"numeric_atoms","value":2898,"base":6}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1602,"base":6}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1149,"base":6}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5320,"base":6}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2658,"base":6},"right_expr":{"type":"numeric_atoms","value":1270,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1094,"base":6},"right_expr":{"type":"numeric_atoms","value":6836,"base":6}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4068,"base":6},"right_expr":{"type":"numeric_atoms","value":2693,"base":6}}}}},"used_operators":["nREPSIbpBE","UMwdvZNt44","jCPkEVoL5K","bPywburJMS","htSmYCowi5","W4tP9CfskL","86A5ENbKR9","1h0rLqGiFr","DyGG3AbaNP","xRrnTEsQ6j","rysDP5nf3Z","wicAB68Tmb","nOKPl9n5zu","7YooWSwCyH"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","DlLNRPXxWL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1660","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=2898, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5574","layer":3},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5574, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-19324","layer":3},{"info":"number node, value=5320","layer":4},{"info":"compute unary expreesion, input=5320, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-63919","layer":3},{"info":"compute binary expreesion, left_input=-19324, right_input=-63919, 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=-1283834","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-1283834, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=450","layer":1},{"info":"number node, value=2658","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=1270, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1388","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=6836","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=6836, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=1388, right_input=237, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1151","layer":2},{"info":"number node, value=4068","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=4068, right_input=2693, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4068","layer":3},{"info":"compute unary expreesion, input=4068, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3155","layer":2},{"info":"compute binary expreesion, left_input=1151, right_input=-3155, 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=450, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11404↼⊘⨖↹⩛21230)⇻⋧≁(↹⩛11230≝⊰⇂))⇡⇂((⪸↹⩛5153)⊋(⩷↹⩛40344))⨚((↹⩛20150-↹⩛5514)⫁⪎↹⩛5022⪝↹⩛51352∼(⋗⩴⪓(↹⩛30500∪⫐↹⩛20245)))=NaN","reverse_text":"NaN=((↹⩛11404↼⊘⨖↹⩛21230)⇻⋧≁(↹⩛11230≝⊰⇂))⇡⇂((⪸↹⩛5153)⊋(⩷↹⩛40344))⨚((↹⩛20150-↹⩛5514)⫁⪎↹⩛5022⪝↹⩛51352∼(⋗⩴⪓(↹⩛30500∪⫐↹⩛20245)))","cot":[{"info":"↹⩛11404↼⊘⨖↹⩛21230=↹⩛41450","layer":3},{"info":"↹⩛11230≝⊰⇂=↹⩛0","layer":3},{"info":"↹⩛41450⇻⋧≁↹⩛0=↹⩛-2023","layer":2},{"info":"⪸↹⩛5153=↹⩛-225244","layer":3},{"info":"⩷↹⩛40344=↹⩛-1211531","layer":3},{"info":"↹⩛-225244⊋↹⩛-1211531=↹⩛-43303402","layer":2},{"info":"↹⩛-2023⇡⇂↹⩛-43303402=↹⩛2030","layer":1},{"info":"↹⩛20150-↹⩛5514=↹⩛10232","layer":3},{"info":"↹⩛5022⪝↹⩛51352=↹⩛1033","layer":3},{"info":"↹⩛10232⫁⪎↹⩛1033=↹⩛5155","layer":2},{"info":"↹⩛30500∪⫐↹⩛20245=↹⩛30500","layer":3},{"info":"⋗⩴⪓↹⩛30500=↹⩛-22335","layer":2},{"info":"↹⩛5155∼↹⩛-22335=NaN","layer":1},{"info":"↹⩛2030⨚NaN=NaN","layer":0}]} +{"id":771,"expression_no_base_symbol":"(($1533$⋻⩜⩜$3485$)∺≝⩲($2367$≄⊠$2525$)∲⫓(⪛⨧$1809$)⨂≜($2679$⩵∡$2539$))⇤(($4951$⪕$1474$)⊉↱≁(↓⇌$3963$)⩨($2888$⋥⋵⩄$1691$⊦⊿))","expression":"((↹⩛11033⋻⩜⩜↹⩛24045)∺≝⩲(↹⩛14543≄⊠↹⩛15405)∲⫓(⪛⨧↹⩛12213)⨂≜(↹⩛20223⩵∡↹⩛15431))⇤((↹⩛34531⪕↹⩛10454)⊉↱≁(↓⇌↹⩛30203)⩨(↹⩛21212⋥⋵⩄↹⩛11455⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":54020,"operation_count":14,"complexity_ratio":3858.5714285714284,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1533,"base":6},"right_expr":{"type":"numeric_atoms","value":3485,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2367,"base":6},"right_expr":{"type":"numeric_atoms","value":2525,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1809,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2679,"base":6},"right_expr":{"type":"numeric_atoms","value":2539,"base":6}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4951,"base":6},"right_expr":{"type":"numeric_atoms","value":1474,"base":6}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":3963,"base":6}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2888,"base":6},"right_expr":{"type":"numeric_atoms","value":1691,"base":6}}}}},"used_operators":["YSKBFp38Pu","i8ToyICDmI","KPf6cnQVty","oDCm7WA9JY","vXNesLlMH1","k1SHOSEABc","6NJAcO2OWT","Y7wcNGrDQJ","2DlMacCsIx","w2P8NbNXyL","umQnsF7QlU","PxpmPgHHJV","14qkJME0vr","7t3wd0Fuz7"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","NTOWxs364D","glklzrTFfD","tifHPKVTfV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=3485, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3066","layer":3},{"info":"number node, value=2367","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=2525, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=45068","layer":3},{"info":"compute binary expreesion, left_input=3066, right_input=45068, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1809","layer":4},{"info":"compute unary expreesion, input=1809, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5019","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=2539, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2940","layer":3},{"info":"compute binary expreesion, left_input=5019, right_input=-2940, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=4951","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=4951, right_input=1474, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9329","layer":3},{"info":"number node, value=3963","layer":4},{"info":"compute unary expreesion, input=3963, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3963","layer":3},{"info":"compute binary expreesion, left_input=9329, right_input=3963, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=69460","layer":2},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1691, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-418","layer":2},{"info":"compute binary expreesion, left_input=69460, right_input=-418, 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=nan, right_input=3, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11033⋻⩜⩜↹⩛24045)∺≝⩲(↹⩛14543≄⊠↹⩛15405)∲⫓(⪛⨧↹⩛12213)⨂≜(↹⩛20223⩵∡↹⩛15431))⇤((↹⩛34531⪕↹⩛10454)⊉↱≁(↓⇌↹⩛30203)⩨(↹⩛21212⋥⋵⩄↹⩛11455⊦⊿))=NaN","reverse_text":"NaN=((↹⩛11033⋻⩜⩜↹⩛24045)∺≝⩲(↹⩛14543≄⊠↹⩛15405)∲⫓(⪛⨧↹⩛12213)⨂≜(↹⩛20223⩵∡↹⩛15431))⇤((↹⩛34531⪕↹⩛10454)⊉↱≁(↓⇌↹⩛30203)⩨(↹⩛21212⋥⋵⩄↹⩛11455⊦⊿))","cot":[{"info":"↹⩛11033⋻⩜⩜↹⩛24045=↹⩛22110","layer":3},{"info":"↹⩛14543≄⊠↹⩛15405=↹⩛544352","layer":3},{"info":"↹⩛22110∺≝⩲↹⩛544352=↹⩛424","layer":2},{"info":"⪛⨧↹⩛12213=↹⩛35123","layer":3},{"info":"↹⩛20223⩵∡↹⩛15431=↹⩛-21340","layer":3},{"info":"↹⩛35123⨂≜↹⩛-21340=NaN","layer":2},{"info":"↹⩛424∲⫓NaN=NaN","layer":1},{"info":"↹⩛34531⪕↹⩛10454=↹⩛111105","layer":3},{"info":"↓⇌↹⩛30203=↹⩛30203","layer":3},{"info":"↹⩛111105⊉↱≁↹⩛30203=↹⩛1253324","layer":2},{"info":"↹⩛21212⋥⋵⩄↹⩛11455=↹⩛305","layer":3},{"info":"↹⩛305⊦⊿=↹⩛-1534","layer":2},{"info":"↹⩛1253324⩨↹⩛-1534=↹⩛3","layer":1},{"info":"NaN⇤↹⩛3=NaN","layer":0}]} +{"id":772,"expression_no_base_symbol":"⨮↦↱((⊽$2631$)⊹∫⫚(↴⪽⋼$3009$)≬⇓$1601$⪝$2184$→⨶⪴($6114$⨎$2357$))","expression":"⨮↦↱((⊽↹⩛20103)⊹∫⫚(↴⪽⋼↹⩛21533)≬⇓↹⩛11225⪝↹⩛14040→⨶⪴(↹⩛44150⨎↹⩛14525))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":605170,"operation_count":8,"complexity_ratio":75646.25,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2631,"base":6}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3009,"base":6}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1601,"base":6},"right_expr":{"type":"numeric_atoms","value":2184,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6114,"base":6},"right_expr":{"type":"numeric_atoms","value":2357,"base":6}}}}},"used_operators":["sYcpBQ0cFf","jWTQ2TZYIH","uWAJUKEvyW","QxG7OkqoLX","5TUYCnJO6w","bF6eod5Gvf","wicAB68Tmb","rJVOvQCfKK"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","8w2t5hMYqp","9FxExcQeMw","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"-Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2631","layer":4},{"info":"compute unary expreesion, input=2631, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6784","layer":3},{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3009","layer":3},{"info":"compute binary expreesion, left_input=6784, right_input=3009, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-240","layer":2},{"info":"number node, value=1601","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=2184, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=6114","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=2357, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2357","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=2357, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7071","layer":2},{"info":"compute binary expreesion, left_input=-240, right_input=-7071, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=604262","layer":1},{"info":"compute unary expreesion, input=604262, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":0}],"base":6,"result_base":6,"text":"⨮↦↱((⊽↹⩛20103)⊹∫⫚(↴⪽⋼↹⩛21533)≬⇓↹⩛11225⪝↹⩛14040→⨶⪴(↹⩛44150⨎↹⩛14525))=-Inf","reverse_text":"-Inf=⨮↦↱((⊽↹⩛20103)⊹∫⫚(↴⪽⋼↹⩛21533)≬⇓↹⩛11225⪝↹⩛14040→⨶⪴(↹⩛44150⨎↹⩛14525))","cot":[{"info":"⊽↹⩛20103=↹⩛51224","layer":3},{"info":"↴⪽⋼↹⩛21533=↹⩛21533","layer":3},{"info":"↹⩛51224⊹∫⫚↹⩛21533=↹⩛-1040","layer":2},{"info":"↹⩛11225⪝↹⩛14040=↹⩛1033","layer":3},{"info":"↹⩛44150⨎↹⩛14525=↹⩛14525","layer":3},{"info":"↹⩛1033→⨶⪴↹⩛14525=↹⩛-52423","layer":2},{"info":"↹⩛-1040≬⇓↹⩛-52423=↹⩛20541302","layer":1},{"info":"⨮↦↱↹⩛20541302=-Inf","layer":0}]} +{"id":773,"expression_no_base_symbol":"(($2939$⇍⊗$1034$)⩍⋽⫝̸(⇨$1873$)⪉⨛(≑⋹(≇⪴$4201$)))⊘","expression":"((↹⩛21335⇍⊗↹⩛4442)⩍⋽⫝̸(⇨↹⩛12401)⪉⨛(≑⋹(≇⪴↹⩛31241)))⊘","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12107,"operation_count":7,"complexity_ratio":1729.5714285714287,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2939,"base":6},"right_expr":{"type":"numeric_atoms","value":1034,"base":6}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1873,"base":6}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4201,"base":6}}}}},"used_operators":["gu96TGCTMs","EWw2JM7wp4","BiWNJpBvwn","5uvYHDjeKN","G9tJMlZ94a","6B9nyZLogK","zoVPnxeHJ3"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","k8jYdgA6NY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2939","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=1034, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1873","layer":4},{"info":"compute unary expreesion, input=1873, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"number node, value=4201","layer":4},{"info":"compute unary expreesion, input=4201, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11263","layer":3},{"info":"compute unary expreesion, input=-11263, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=-209, right_input=-766, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1886","layer":1},{"info":"compute unary expreesion, input=1886, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21335⇍⊗↹⩛4442)⩍⋽⫝̸(⇨↹⩛12401)⪉⨛(≑⋹(≇⪴↹⩛31241)))⊘=↹⩛0","reverse_text":"↹⩛0=((↹⩛21335⇍⊗↹⩛4442)⩍⋽⫝̸(⇨↹⩛12401)⪉⨛(≑⋹(≇⪴↹⩛31241)))⊘","cot":[{"info":"↹⩛21335⇍⊗↹⩛4442=↹⩛-1044","layer":3},{"info":"⇨↹⩛12401=↹⩛0","layer":3},{"info":"↹⩛-1044⩍⋽⫝̸↹⩛0=↹⩛-545","layer":2},{"info":"≇⪴↹⩛31241=↹⩛-124051","layer":3},{"info":"≑⋹↹⩛-124051=↹⩛-3314","layer":2},{"info":"↹⩛-545⪉⨛↹⩛-3314=↹⩛12422","layer":1},{"info":"↹⩛12422⊘=↹⩛0","layer":0}]} +{"id":774,"expression_no_base_symbol":"(∜⨇(($6439$∲⫓$3821$)∠↢$8708$⊋$3243$))∛(⊬↢($2341$⩧⪆$1664$≭$1379$⇌⫙⪟$3878$))","expression":"(∜⨇((↹⩛45451∲⫓↹⩛25405)∠↢↹⩛104152⊋↹⩛23003))∛(⊬↢(↹⩛14501⩧⪆↹⩛11412≭↹⩛10215⇌⫙⪟↹⩛25542))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11222,"operation_count":9,"complexity_ratio":1246.888888888889,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6439,"base":6},"right_expr":{"type":"numeric_atoms","value":3821,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":8708,"base":6},"right_expr":{"type":"numeric_atoms","value":3243,"base":6}}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2341,"base":6},"right_expr":{"type":"numeric_atoms","value":1664,"base":6}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1379,"base":6},"right_expr":{"type":"numeric_atoms","value":3878,"base":6}}}}},"used_operators":["w2537kitQq","uFPyJr306J","KbjG8mgYpV","i8ToyICDmI","W4tP9CfskL","WPoGxAaPR1","rxpJgHHUmx","Ikt5ks8PT7","AFVx7xoS7T"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6439","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=6439, right_input=3821, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=8708","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=8708, right_input=3243, 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=139251200","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=139251200, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-1949515718","layer":2},{"info":"compute unary expreesion, input=-1949515718, 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=2341","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=1664, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1664","layer":3},{"info":"number node, value=1379","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=3878, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-1664, right_input=113, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":6,"result_base":6,"text":"(∜⨇((↹⩛45451∲⫓↹⩛25405)∠↢↹⩛104152⊋↹⩛23003))∛(⊬↢(↹⩛14501⩧⪆↹⩛11412≭↹⩛10215⇌⫙⪟↹⩛25542))=↹⩛151","reverse_text":"↹⩛151=(∜⨇((↹⩛45451∲⫓↹⩛25405)∠↢↹⩛104152⊋↹⩛23003))∛(⊬↢(↹⩛14501⩧⪆↹⩛11412≭↹⩛10215⇌⫙⪟↹⩛25542))","cot":[{"info":"↹⩛45451∲⫓↹⩛25405=↹⩛0","layer":3},{"info":"↹⩛104152⊋↹⩛23003=↹⩛21452345252","layer":3},{"info":"↹⩛0∠↢↹⩛21452345252=↹⩛-521240515422","layer":2},{"info":"∜⨇↹⩛-521240515422=NaN","layer":1},{"info":"↹⩛14501⩧⪆↹⩛11412=↹⩛-11412","layer":3},{"info":"↹⩛10215⇌⫙⪟↹⩛25542=↹⩛305","layer":3},{"info":"↹⩛-11412≭↹⩛305=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"NaN∛NaN=↹⩛151","layer":0}]} +{"id":775,"expression_no_base_symbol":"(($1916$⫰⋱$2446$)⫁($2289$∳⫺$4076$)≥⨤⩑(($6056$∕⩚$1937$)∙⊟$2078$∠↢$1840$))∺≝⩲($3273$⨳⩥⨓$1244$⇮⋭($2606$⩢≌)↛⩡⫤)","expression":"((↹⩛12512⫰⋱↹⩛15154)⫁(↹⩛14333∳⫺↹⩛30512)≥⨤⩑((↹⩛44012∕⩚↹⩛12545)∙⊟↹⩛13342∠↢↹⩛12304))∺≝⩲(↹⩛23053⨳⩥⨓↹⩛5432⇮⋭(↹⩛20022⩢≌)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":277228,"operation_count":12,"complexity_ratio":23102.333333333332,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1916,"base":6},"right_expr":{"type":"numeric_atoms","value":2446,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2289,"base":6},"right_expr":{"type":"numeric_atoms","value":4076,"base":6}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6056,"base":6},"right_expr":{"type":"numeric_atoms","value":1937,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2078,"base":6},"right_expr":{"type":"numeric_atoms","value":1840,"base":6}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3273,"base":6},"right_expr":{"type":"numeric_atoms","value":1244,"base":6}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2606,"base":6}}}}},"used_operators":["KPf6cnQVty","gJLn6v0xnP","0ajvFaJAv0","6o9Blt3TJ6","AzXXKTstlj","SxTAKzQCrw","z9ffQ9n5Zr","KbjG8mgYpV","FU0Cs4j7VP","vkpjKywKVM","nCS4ZIUYfx","D617RFjZIq"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","hTbEZDJLEm","o20kRiQErp"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1916","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=2446, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1883","layer":3},{"info":"number node, value=2289","layer":4},{"info":"number node, value=4076","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=4076, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-1883, right_input=-260, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=6056","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=6056, right_input=1937, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6059","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=1840, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-32990","layer":3},{"info":"compute binary expreesion, left_input=-6059, right_input=-32990, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=94511","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=94511, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=3273","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=1244, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2029","layer":3},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-2029, right_input=113, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=87801","layer":2},{"info":"compute unary expreesion, input=87801, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-13254040","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-13254040, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12512⫰⋱↹⩛15154)⫁(↹⩛14333∳⫺↹⩛30512)≥⨤⩑((↹⩛44012∕⩚↹⩛12545)∙⊟↹⩛13342∠↢↹⩛12304))∺≝⩲(↹⩛23053⨳⩥⨓↹⩛5432⇮⋭(↹⩛20022⩢≌)↛⩡⫤)=↹⩛424","reverse_text":"↹⩛424=((↹⩛12512⫰⋱↹⩛15154)⫁(↹⩛14333∳⫺↹⩛30512)≥⨤⩑((↹⩛44012∕⩚↹⩛12545)∙⊟↹⩛13342∠↢↹⩛12304))∺≝⩲(↹⩛23053⨳⩥⨓↹⩛5432⇮⋭(↹⩛20022⩢≌)↛⩡⫤)","cot":[{"info":"↹⩛12512⫰⋱↹⩛15154=↹⩛-12415","layer":3},{"info":"↹⩛14333∳⫺↹⩛30512=↹⩛-1112","layer":3},{"info":"↹⩛-12415⫁↹⩛-1112=↹⩛424","layer":2},{"info":"↹⩛44012∕⩚↹⩛12545=↹⩛-44015","layer":3},{"info":"↹⩛13342∠↢↹⩛12304=↹⩛-412422","layer":3},{"info":"↹⩛-44015∙⊟↹⩛-412422=↹⩛2005315","layer":2},{"info":"↹⩛424≥⨤⩑↹⩛2005315=↹⩛5414","layer":1},{"info":"↹⩛23053⨳⩥⨓↹⩛5432=↹⩛-13221","layer":3},{"info":"↹⩛20022⩢≌=↹⩛305","layer":3},{"info":"↹⩛-13221⇮⋭↹⩛305=↹⩛1514253","layer":2},{"info":"↹⩛1514253↛⩡⫤=↹⩛-1152025144","layer":1},{"info":"↹⩛5414∺≝⩲↹⩛-1152025144=↹⩛424","layer":0}]} +{"id":776,"expression_no_base_symbol":"((⨰⫟⨤$6663$⇤$1473$)⨎⋸⪻)≭(⨆≐≲($1224$⊬⨰$1219$))⊱⇼⊻($4578$⨿$1289$⇌⫙⪟($1135$⫰⋱$1836$))","expression":"((⨰⫟⨤↹⩛50503⇤↹⩛10453)⨎⋸⪻)≭(⨆≐≲(↹⩛5400⊬⨰↹⩛5351))⊱⇼⊻(↹⩛33110⨿↹⩛5545⇌⫙⪟(↹⩛5131⫰⋱↹⩛12300))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":152632,"operation_count":10,"complexity_ratio":15263.2,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6663,"base":6},"right_expr":{"type":"numeric_atoms","value":1473,"base":6}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1224,"base":6},"right_expr":{"type":"numeric_atoms","value":1219,"base":6}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4578,"base":6},"right_expr":{"type":"numeric_atoms","value":1289,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1135,"base":6},"right_expr":{"type":"numeric_atoms","value":1836,"base":6}}}}},"used_operators":["rxpJgHHUmx","Dk5vyLCiGd","Tw270M8GLb","YSKBFp38Pu","FyVja0WsTP","Bi9z9uYZqW","s3Fd5m9Dh2","AFVx7xoS7T","abYXlopdE0","6o9Blt3TJ6"],"dependent_operators":["AHs5Up7iyr","IWmyXbctLI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6663","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=6663, right_input=1473, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-37832","layer":3},{"info":"compute unary expreesion, input=-37832, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=nan","layer":1},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1219, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5044","layer":3},{"info":"compute unary expreesion, input=5044, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=54868056","layer":2},{"info":"number node, value=4578","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=4578, right_input=1289, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1836, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1102","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-1102, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=6184","layer":2},{"info":"compute binary expreesion, left_input=54868056, right_input=6184, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=434, 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":6,"result_base":6,"text":"((⨰⫟⨤↹⩛50503⇤↹⩛10453)⨎⋸⪻)≭(⨆≐≲(↹⩛5400⊬⨰↹⩛5351))⊱⇼⊻(↹⩛33110⨿↹⩛5545⇌⫙⪟(↹⩛5131⫰⋱↹⩛12300))=NaN","reverse_text":"NaN=((⨰⫟⨤↹⩛50503⇤↹⩛10453)⨎⋸⪻)≭(⨆≐≲(↹⩛5400⊬⨰↹⩛5351))⊱⇼⊻(↹⩛33110⨿↹⩛5545⇌⫙⪟(↹⩛5131⫰⋱↹⩛12300))","cot":[{"info":"↹⩛50503⇤↹⩛10453=↹⩛-451052","layer":3},{"info":"⨰⫟⨤↹⩛-451052=NaN","layer":2},{"info":"NaN⨎⋸⪻=NaN","layer":1},{"info":"↹⩛5400⊬⨰↹⩛5351=↹⩛35204","layer":3},{"info":"⨆≐≲↹⩛35204=↹⩛5240002440","layer":2},{"info":"↹⩛33110⨿↹⩛5545=↹⩛-1251","layer":3},{"info":"↹⩛5131⫰⋱↹⩛12300=↹⩛-5034","layer":3},{"info":"↹⩛-1251⇌⫙⪟↹⩛-5034=↹⩛44344","layer":2},{"info":"↹⩛5240002440⊱⇼⊻↹⩛44344=↹⩛2002","layer":1},{"info":"NaN≭↹⩛2002=NaN","layer":0}]} +{"id":777,"expression_no_base_symbol":"(($2941$⨘⋶⪀)⩘)↼⊘⨖($3471$⪍↜⋙$1233$)∘($1014$↸$3894$)⪉⨛($4261$⊭↱$5041$/($1955$⇆⨓≜))⨐⩸⫘($2580$∝$7847$)⋕⪉⪜($1408$⨼⩣$2909$)","expression":"((↹⩛21341⨘⋶⪀)⩘)↼⊘⨖(↹⩛24023⪍↜⋙↹⩛5413)∘(↹⩛4410↸↹⩛30010)⪉⨛(↹⩛31421⊭↱↹⩛35201/(↹⩛13015⇆⨓≜))⨐⩸⫘(↹⩛15540∝↹⩛100155)⋕⪉⪜(↹⩛10304⨼⩣↹⩛21245)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44593,"operation_count":14,"complexity_ratio":3185.214285714286,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2941,"base":6}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3471,"base":6},"right_expr":{"type":"numeric_atoms","value":1233,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1014,"base":6},"right_expr":{"type":"numeric_atoms","value":3894,"base":6}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4261,"base":6},"right_expr":{"type":"numeric_atoms","value":5041,"base":6}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1955,"base":6}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2580,"base":6},"right_expr":{"type":"numeric_atoms","value":7847,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1408,"base":6},"right_expr":{"type":"numeric_atoms","value":2909,"base":6}}}}},"used_operators":["EWw2JM7wp4","bPywburJMS","wvHyciQT5X","XVKwrhznBb","Z5m6OM72h2","L05ObWFQCd","1eCjFl0mb9","fu6greOZ01","XhwjNDsVaA","COABgblf1C","KvvgdUaMHJ","z6LnFrNh4i","cTDWOvIxvz","JxwMv5le6e"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9ICcGScMcE","dfKe02y8D2","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"↹⩛1051312","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"number node, value=3471","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1233, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4476","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3894","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3894, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1014","layer":3},{"info":"compute binary expreesion, left_input=4476, right_input=1014, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8952","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=8952, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=17682","layer":1},{"info":"number node, value=4261","layer":4},{"info":"number node, value=5041","layer":4},{"info":"compute binary expreesion, left_input=4261, right_input=5041, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1565","layer":3},{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1565, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2580","layer":4},{"info":"number node, value=7847","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=7847, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2585","layer":3},{"info":"number node, value=1408","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=2909, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2585, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-207","layer":1},{"info":"compute binary expreesion, left_input=17682, right_input=-207, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=53468","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21341⨘⋶⪀)⩘)↼⊘⨖(↹⩛24023⪍↜⋙↹⩛5413)∘(↹⩛4410↸↹⩛30010)⪉⨛(↹⩛31421⊭↱↹⩛35201/(↹⩛13015⇆⨓≜))⨐⩸⫘(↹⩛15540∝↹⩛100155)⋕⪉⪜(↹⩛10304⨼⩣↹⩛21245)=↹⩛1051312","reverse_text":"↹⩛1051312=((↹⩛21341⨘⋶⪀)⩘)↼⊘⨖(↹⩛24023⪍↜⋙↹⩛5413)∘(↹⩛4410↸↹⩛30010)⪉⨛(↹⩛31421⊭↱↹⩛35201/(↹⩛13015⇆⨓≜))⨐⩸⫘(↹⩛15540∝↹⩛100155)⋕⪉⪜(↹⩛10304⨼⩣↹⩛21245)","cot":[{"info":"↹⩛21341⨘⋶⪀=NaN","layer":3},{"info":"NaN⩘=↹⩛151","layer":2},{"info":"↹⩛24023⪍↜⋙↹⩛5413=↹⩛32420","layer":3},{"info":"↹⩛4410↸↹⩛30010=↹⩛4410","layer":3},{"info":"↹⩛32420∘↹⩛4410=↹⩛105240","layer":2},{"info":"↹⩛151↼⊘⨖↹⩛105240=↹⩛213510","layer":1},{"info":"↹⩛31421⊭↱↹⩛35201=↹⩛11125","layer":3},{"info":"↹⩛13015⇆⨓≜=NaN","layer":3},{"info":"↹⩛11125/NaN=NaN","layer":2},{"info":"↹⩛15540∝↹⩛100155=↹⩛15545","layer":3},{"info":"↹⩛10304⨼⩣↹⩛21245=NaN","layer":3},{"info":"↹⩛15545⋕⪉⪜NaN=↹⩛540","layer":2},{"info":"NaN⨐⩸⫘↹⩛540=↹⩛-543","layer":1},{"info":"↹⩛213510⪉⨛↹⩛-543=↹⩛1051312","layer":0}]} +{"id":778,"expression_no_base_symbol":"($1596$⇚⪠)⩁⩘($1207$⪁$2549$)⨚($1774$↬$6128$⇴($1317$↪⪝))⨟⋌⩍(((∂⩏⊆$6849$)↳≱($1002$⩷∴$4286$))⪚⩙≫)","expression":"(↹⩛11220⇚⪠)⩁⩘(↹⩛5331⪁↹⩛15445)⨚(↹⩛12114↬↹⩛44212⇴(↹⩛10033↪⪝))⨟⋌⩍(((∂⩏⊆↹⩛51413)↳≱(↹⩛4350⩷∴↹⩛31502))⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":96883350,"operation_count":12,"complexity_ratio":8073612.5,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1596,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1207,"base":6},"right_expr":{"type":"numeric_atoms","value":2549,"base":6}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1774,"base":6},"right_expr":{"type":"numeric_atoms","value":6128,"base":6}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1317,"base":6}}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":6849,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1002,"base":6},"right_expr":{"type":"numeric_atoms","value":4286,"base":6}}}}},"used_operators":["rGHVDoGpnC","nREPSIbpBE","gub5Cegaqo","Loh9y4A90B","I7sXao9hZE","4JB6nKBMSY","B5M0gjZbta","l07mrZUIn9","4n53wtyJvv","JwTKLfZU96","8WDwsbhb0R","9FxExcQeMw"],"dependent_operators":["Tcnh7f0tEr","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sdazOOVcIp","NTOWxs364D","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1596","layer":4},{"info":"compute unary expreesion, input=1596, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=5094432","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2549, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5094432, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=1774","layer":4},{"info":"number node, value=6128","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=6128, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=80576694","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=80576694, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=6849","layer":4},{"info":"compute unary expreesion, input=6849, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-20626","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=4286","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=4286, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6600","layer":3},{"info":"compute binary expreesion, left_input=-20626, right_input=-6600, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11220⇚⪠)⩁⩘(↹⩛5331⪁↹⩛15445)⨚(↹⩛12114↬↹⩛44212⇴(↹⩛10033↪⪝))⨟⋌⩍(((∂⩏⊆↹⩛51413)↳≱(↹⩛4350⩷∴↹⩛31502))⪚⩙≫)=NaN","reverse_text":"NaN=(↹⩛11220⇚⪠)⩁⩘(↹⩛5331⪁↹⩛15445)⨚(↹⩛12114↬↹⩛44212⇴(↹⩛10033↪⪝))⨟⋌⩍(((∂⩏⊆↹⩛51413)↳≱(↹⩛4350⩷∴↹⩛31502))⪚⩙≫)","cot":[{"info":"↹⩛11220⇚⪠=↹⩛301105200","layer":3},{"info":"↹⩛5331⪁↹⩛15445=NaN","layer":3},{"info":"↹⩛301105200⩁⩘NaN=NaN","layer":2},{"info":"↹⩛12114↬↹⩛44212=NaN","layer":3},{"info":"↹⩛10033↪⪝=↹⩛11555012130","layer":3},{"info":"NaN⇴↹⩛11555012130=NaN","layer":2},{"info":"NaN⨚NaN=NaN","layer":1},{"info":"∂⩏⊆↹⩛51413=↹⩛-235254","layer":3},{"info":"↹⩛4350⩷∴↹⩛31502=↹⩛-50320","layer":3},{"info":"↹⩛-235254↳≱↹⩛-50320=↹⩛0","layer":2},{"info":"↹⩛0⪚⩙≫=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]} +{"id":779,"expression_no_base_symbol":"(⩰$1648$⨟⋌⩍$1192$⨳⩥⨓($6633$⩘⨬⇊))⨥⫆(($2536$⇄$5704$⫰⋱($3104$≀⩗∶$5018$))⫢⨠($2046$⨵⪆$3661$)⋓($1511$⫔⩽⩺$3382$))","expression":"(⩰↹⩛11344⨟⋌⩍↹⩛5304⨳⩥⨓(↹⩛50413⩘⨬⇊))⨥⫆((↹⩛15424⇄↹⩛42224⫰⋱(↹⩛22212≀⩗∶↹⩛35122))⫢⨠(↹⩛13250⨵⪆↹⩛24541)⋓(↹⩛10555⫔⩽⩺↹⩛23354))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1593,"operation_count":12,"complexity_ratio":132.75,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1648,"base":6},"right_expr":{"type":"numeric_atoms","value":1192,"base":6}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":6633,"base":6}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2536,"base":6},"right_expr":{"type":"numeric_atoms","value":5704,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3104,"base":6},"right_expr":{"type":"numeric_atoms","value":5018,"base":6}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2046,"base":6},"right_expr":{"type":"numeric_atoms","value":3661,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1511,"base":6},"right_expr":{"type":"numeric_atoms","value":3382,"base":6}}}}},"used_operators":["yXekIHxTD4","WkeUrDK8WX","nCS4ZIUYfx","rGHVDoGpnC","XXmTpEpWTW","xlXykHWxX1","6o9Blt3TJ6","3EYGwJThht","8INZBEW696","T2fj7uvVaJ","2DQ55sFlQl","i9eR4S00cU"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=1192, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6633","layer":4},{"info":"compute unary expreesion, input=6633, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"number node, value=2536","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=5704, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3104","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=5018, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":2},{"info":"number node, value=2046","layer":4},{"info":"number node, value=3661","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=3661, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=3382, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=33, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩰↹⩛11344⨟⋌⩍↹⩛5304⨳⩥⨓(↹⩛50413⩘⨬⇊))⨥⫆((↹⩛15424⇄↹⩛42224⫰⋱(↹⩛22212≀⩗∶↹⩛35122))⫢⨠(↹⩛13250⨵⪆↹⩛24541)⋓(↹⩛10555⫔⩽⩺↹⩛23354))=NaN","reverse_text":"NaN=(⩰↹⩛11344⨟⋌⩍↹⩛5304⨳⩥⨓(↹⩛50413⩘⨬⇊))⨥⫆((↹⩛15424⇄↹⩛42224⫰⋱(↹⩛22212≀⩗∶↹⩛35122))⫢⨠(↹⩛13250⨵⪆↹⩛24541)⋓(↹⩛10555⫔⩽⩺↹⩛23354))","cot":[{"info":"↹⩛11344⨟⋌⩍↹⩛5304=NaN","layer":3},{"info":"↹⩛50413⩘⨬⇊=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"↹⩛15424⇄↹⩛42224=↹⩛0","layer":3},{"info":"↹⩛22212≀⩗∶↹⩛35122=↹⩛-3","layer":3},{"info":"↹⩛0⫰⋱↹⩛-3=↹⩛53","layer":2},{"info":"↹⩛13250⨵⪆↹⩛24541=↹⩛424","layer":3},{"info":"↹⩛10555⫔⩽⩺↹⩛23354=NaN","layer":3},{"info":"↹⩛424⋓NaN=NaN","layer":2},{"info":"↹⩛53⫢⨠NaN=NaN","layer":1},{"info":"NaN⨥⫆NaN=NaN","layer":0}]} +{"id":780,"expression_no_base_symbol":"((⨣⨃⇪$5015$⨐$4908$)∌↝($5957$≨$2640$⫳≱↱$3355$∇⊂⋱$2023$))⫗⊷⫓(⨵≀≌(↑($3427$⪚$2415$)))","expression":"((⨣⨃⇪↹⩛35115⨐↹⩛34420)∌↝(↹⩛43325≨↹⩛20120⫳≱↱↹⩛23311∇⊂⋱↹⩛13211))⫗⊷⫓(⨵≀≌(↑(↹⩛23511⪚↹⩛15103)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1079,"operation_count":10,"complexity_ratio":107.9,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5015,"base":6},"right_expr":{"type":"numeric_atoms","value":4908,"base":6}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5957,"base":6},"right_expr":{"type":"numeric_atoms","value":2640,"base":6}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3355,"base":6},"right_expr":{"type":"numeric_atoms","value":2023,"base":6}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3427,"base":6},"right_expr":{"type":"numeric_atoms","value":2415,"base":6}}}}},"used_operators":["zashukvMKz","9Isq31Ruls","AcOhelriW5","Noe24qw2ks","ZvLB05nZmT","0KMCeP1Jsh","nhYeJWJD5X","srAu1WTS94","tR7O2zTn5j","HrjLwUk87U"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5015","layer":4},{"info":"number node, value=4908","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=4908, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-10030","layer":3},{"info":"compute unary expreesion, input=-10030, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=5957","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=5957, right_input=2640, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-57094","layer":3},{"info":"number node, value=3355","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=2023, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6164","layer":3},{"info":"compute binary expreesion, left_input=-57094, right_input=6164, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-2802, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=2810","layer":1},{"info":"number node, value=3427","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=2415, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1668","layer":3},{"info":"compute unary expreesion, input=1668, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=36864","layer":1},{"info":"compute binary expreesion, left_input=2810, right_input=36864, 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":6,"result_base":6,"text":"((⨣⨃⇪↹⩛35115⨐↹⩛34420)∌↝(↹⩛43325≨↹⩛20120⫳≱↱↹⩛23311∇⊂⋱↹⩛13211))⫗⊷⫓(⨵≀≌(↑(↹⩛23511⪚↹⩛15103)))=↹⩛-342","reverse_text":"↹⩛-342=((⨣⨃⇪↹⩛35115⨐↹⩛34420)∌↝(↹⩛43325≨↹⩛20120⫳≱↱↹⩛23311∇⊂⋱↹⩛13211))⫗⊷⫓(⨵≀≌(↑(↹⩛23511⪚↹⩛15103)))","cot":[{"info":"↹⩛35115⨐↹⩛34420=↹⩛-114234","layer":3},{"info":"⨣⨃⇪↹⩛-114234=↹⩛10301","layer":2},{"info":"↹���43325≨↹⩛20120=↹⩛-1120154","layer":3},{"info":"↹⩛23311∇⊂⋱↹⩛13211=↹⩛44312","layer":3},{"info":"↹⩛-1120154⫳≱↱↹⩛44312=↹⩛-20550","layer":2},{"info":"↹⩛10301∌↝↹⩛-20550=↹⩛21002","layer":1},{"info":"↹⩛23511⪚↹⩛15103=↹⩛11420","layer":3},{"info":"↑↹⩛11420=↹⩛520","layer":2},{"info":"⨵≀≌↹⩛520=↹⩛442400","layer":1},{"info":"↹⩛21002⫗⊷⫓↹⩛442400=↹⩛-342","layer":0}]} +{"id":781,"expression_no_base_symbol":"(⊗(($2812$⩺⋐⫨)∙∹∝$2191$⋥⋵⩄$4119$))⩣⫁∢(($4143$⫥∨⫟$1664$)⪒⊣⊆($1655$⩎⪣⊞)⨵⪆($7189$∷$6580$+($4918$⪎⩰)))","expression":"(⊗((↹⩛21004⩺⋐⫨)∙∹∝↹⩛14051⋥⋵⩄↹⩛31023))⩣⫁∢((↹⩛31103⫥∨⫟↹⩛11412)⪒⊣⊆(↹⩛11355⩎⪣⊞)⨵⪆(↹⩛53141∷↹⩛50244+(↹⩛34434⪎⩰)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23973,"operation_count":12,"complexity_ratio":1997.75,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":2812,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2191,"base":6},"right_expr":{"type":"numeric_atoms","value":4119,"base":6}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4143,"base":6},"right_expr":{"type":"numeric_atoms","value":1664,"base":6}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1655,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7189,"base":6},"right_expr":{"type":"numeric_atoms","value":6580,"base":6}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":4918,"base":6}}}}},"used_operators":["JDUIKTTSIa","RhiyfpczSx","HmxsFra2vL","yS9ePUuUdn","7t3wd0Fuz7","2DQ55sFlQl","eRqsBgTDFp","KYD54nUTWz","waWucp1uQ4","W4YGzv6Whe","D3AQDKkPcf","2ufhKmSs5H"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","mp7IySMOzn","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"↹⩛425","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2812","layer":4},{"info":"compute unary expreesion, input=2812, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=2191","layer":4},{"info":"number node, value=4119","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=4119, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=0","layer":1},{"info":"number node, value=4143","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=4143, right_input=1664, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=3310","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3310, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=7189","layer":4},{"info":"number node, value=6580","layer":4},{"info":"compute binary expreesion, left_input=7189, right_input=6580, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6580","layer":3},{"info":"number node, value=4918","layer":4},{"info":"compute unary expreesion, input=4918, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=6580, right_input=-34, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6546","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6546, 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=0, right_input=160, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":0}],"base":6,"result_base":6,"text":"(⊗((↹⩛21004⩺⋐⫨)∙∹∝↹⩛14051⋥⋵⩄↹⩛31023))⩣⫁∢((↹⩛31103⫥∨⫟↹⩛11412)⪒⊣⊆(↹⩛11355⩎⪣⊞)⨵⪆(↹⩛53141∷↹⩛50244+(↹⩛34434⪎⩰)))=↹⩛425","reverse_text":"↹⩛425=(⊗((↹⩛21004⩺⋐⫨)∙∹∝↹⩛14051⋥⋵⩄↹⩛31023))⩣⫁∢((↹⩛31103⫥∨⫟↹⩛11412)⪒⊣⊆(↹⩛11355⩎⪣⊞)⨵⪆(↹⩛53141∷↹⩛50244+(↹⩛34434⪎⩰)))","cot":[{"info":"↹⩛21004⩺⋐⫨=↹⩛0","layer":3},{"info":"↹⩛14051⋥⋵⩄↹⩛31023=↹⩛305","layer":3},{"info":"↹⩛0∙∹∝↹⩛305=↹⩛0","layer":2},{"info":"⊗↹⩛0=↹⩛0","layer":1},{"info":"↹⩛31103⫥∨⫟↹⩛11412=NaN","layer":3},{"info":"↹⩛11355⩎⪣⊞=↹⩛23154","layer":3},{"info":"NaN⪒⊣⊆↹⩛23154=NaN","layer":2},{"info":"↹⩛53141∷↹⩛50244=↹⩛50244","layer":3},{"info":"↹⩛34434⪎⩰=↹⩛-54","layer":3},{"info":"↹⩛50244+↹⩛-54=↹⩛50150","layer":2},{"info":"NaN⨵⪆↹⩛50150=↹⩛424","layer":1},{"info":"↹⩛0⩣⫁∢↹⩛424=↹⩛425","layer":0}]} +{"id":782,"expression_no_base_symbol":"(∥⊫($5760$⪢$2424$)⪎↠($3942$⊔$3178$))∑⇟⊟(($1997$⫳≱↱$6395$)⊔$3141$∺≝⩲$5834$≓∲($2125$≒∊$1349$)∊∟⩊(⊤⊝$2557$))","expression":"(∥⊫(↹⩛42400⪢↹⩛15120)⪎↠(↹⩛30130⊔↹⩛22414))∑⇟⊟((↹⩛13125⫳≱↱↹⩛45335)⊔↹⩛22313∺≝⩲↹⩛43002≓∲(↹⩛13501≒∊↹⩛10125)∊∟⩊(⊤⊝↹⩛15501))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7398,"operation_count":12,"complexity_ratio":616.5,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5760,"base":6},"right_expr":{"type":"numeric_atoms","value":2424,"base":6}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3942,"base":6},"right_expr":{"type":"numeric_atoms","value":3178,"base":6}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1997,"base":6},"right_expr":{"type":"numeric_atoms","value":6395,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3141,"base":6},"right_expr":{"type":"numeric_atoms","value":5834,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2125,"base":6},"right_expr":{"type":"numeric_atoms","value":1349,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2557,"base":6}}}}},"used_operators":["U7g4x0WXJJ","P8v4zCKN1o","3tVxb0NHM4","dWAJyo7jo9","E4l6HwMY31","s1XTVnmDOJ","ZvLB05nZmT","KPf6cnQVty","ddLRYrp01A","5KTvxBwnZo","rXAclfmB4M"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5760","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=5760, right_input=2424, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3942","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=3942, right_input=3178, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=21374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=21374, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=1997","layer":4},{"info":"number node, value=6395","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=6395, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3141","layer":4},{"info":"number node, value=5834","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=5834, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=160, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-414","layer":2},{"info":"number node, value=2125","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=1349, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1641","layer":3},{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=3816","layer":3},{"info":"compute binary expreesion, left_input=-1641, right_input=3816, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3816","layer":2},{"info":"compute binary expreesion, left_input=-414, right_input=3816, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∥⊫(↹⩛42400⪢↹⩛15120)⪎↠(↹⩛30130⊔↹⩛22414))∑⇟⊟((↹⩛13125⫳≱↱↹⩛45335)⊔↹⩛22313∺≝⩲↹⩛43002≓∲(↹⩛13501≒∊↹⩛10125)∊∟⩊(⊤⊝↹⩛15501))=NaN","reverse_text":"NaN=(∥⊫(↹⩛42400⪢↹⩛15120)⪎↠(↹⩛30130⊔↹⩛22414))∑⇟⊟((↹⩛13125⫳≱↱↹⩛45335)⊔↹⩛22313∺≝⩲↹⩛43002≓∲(↹⩛13501≒∊↹⩛10125)∊∟⩊(⊤⊝↹⩛15501))","cot":[{"info":"↹⩛42400⪢↹⩛15120=NaN","layer":3},{"info":"↹⩛30130⊔↹⩛22414=↹⩛242542","layer":3},{"info":"NaN⪎↠↹⩛242542=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"↹⩛13125⫳≱↱↹⩛45335=↹⩛-540","layer":3},{"info":"↹⩛22313∺≝⩲↹⩛43002=↹⩛424","layer":3},{"info":"↹⩛-540⊔↹⩛424=↹⩛-1530","layer":2},{"info":"↹⩛13501≒∊↹⩛10125=↹⩛-11333","layer":3},{"info":"⊤⊝↹⩛15501=↹⩛25400","layer":3},{"info":"↹⩛-11333∊∟⩊↹⩛25400=↹⩛25400","layer":2},{"info":"↹⩛-1530≓∲↹⩛25400=↹⩛151","layer":1},{"info":"NaN∑⇟⊟↹⩛151=NaN","layer":0}]} +{"id":783,"expression_no_base_symbol":"($1461$⊱⇼⊻$3176$)⨂≜(⊬↢$5093$)↹⊜(($3034$↸$3669$)⊭∹↮)≀⩗∶($1087$⩍⋽⫝̸$6947$)⪬($3137$⩧⪆$2381$)⩚⊴⇥($2045$⇼⇔∾$3108$)⨜⨶($1076$⫳≱↱$1158$)","expression":"(↹⩛10433⊱⇼⊻↹⩛22412)⨂≜(⊬↢↹⩛35325)↹⊜((↹⩛22014↸↹⩛24553)⊭∹↮)≀⩗∶(↹⩛5011⩍⋽⫝̸↹⩛52055)⪬(↹⩛22305⩧⪆↹⩛15005)⩚⊴⇥(↹⩛13245⇼⇔∾↹⩛22220)⨜⨶(↹⩛4552⫳≱↱↹⩛5210)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57345,"operation_count":14,"complexity_ratio":4096.071428571428,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1461,"base":6},"right_expr":{"type":"numeric_atoms","value":3176,"base":6}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5093,"base":6}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3034,"base":6},"right_expr":{"type":"numeric_atoms","value":3669,"base":6}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1087,"base":6},"right_expr":{"type":"numeric_atoms","value":6947,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3137,"base":6},"right_expr":{"type":"numeric_atoms","value":2381,"base":6}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2045,"base":6},"right_expr":{"type":"numeric_atoms","value":3108,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1076,"base":6},"right_expr":{"type":"numeric_atoms","value":1158,"base":6}}}}},"used_operators":["8INZBEW696","9bazX3JMtO","k1SHOSEABc","FyVja0WsTP","WPoGxAaPR1","xNBdhnnwKq","1eCjFl0mb9","NTOWxs364D","Ez1Nq5fNfI","BiWNJpBvwn","Ikt5ks8PT7","HiPekx5b7W","tifHPKVTfV","ZvLB05nZmT"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=3176, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=5093","layer":4},{"info":"compute unary expreesion, input=5093, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=218, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3034","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=3669, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3034","layer":3},{"info":"compute unary expreesion, input=3034, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6068","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6068, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=1087","layer":4},{"info":"number node, value=6947","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=6947, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6001","layer":3},{"info":"number node, value=3137","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=2381, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2381","layer":3},{"info":"compute binary expreesion, left_input=6001, right_input=-2381, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=2045","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=3108, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1063","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1158, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=1063, right_input=-204, 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=10189","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=10189, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11544","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11544, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10433⊱⇼⊻↹⩛22412)⨂≜(⊬↢↹⩛35325)↹⊜((↹⩛22014↸↹⩛24553)⊭∹↮)≀⩗∶(↹⩛5011⩍⋽⫝̸↹⩛52055)⪬(↹⩛22305⩧⪆↹⩛15005)⩚⊴⇥(↹⩛13245⇼⇔∾↹⩛22220)⨜⨶(↹⩛4552⫳≱↱↹⩛5210)=NaN","reverse_text":"NaN=(↹⩛10433⊱⇼⊻↹⩛22412)⨂≜(⊬↢↹⩛35325)↹⊜((↹⩛22014↸↹⩛24553)⊭∹↮)≀⩗∶(↹⩛5011⩍⋽⫝̸↹⩛52055)⪬(↹⩛22305⩧⪆↹⩛15005)⩚⊴⇥(↹⩛13245⇼⇔∾↹⩛22220)⨜⨶(↹⩛4552⫳≱↱↹⩛5210)","cot":[{"info":"↹⩛10433⊱⇼⊻↹⩛22412=↹⩛2002","layer":3},{"info":"⊬↢↹⩛35325=↹⩛1002","layer":3},{"info":"↹⩛2002⨂≜↹⩛1002=NaN","layer":2},{"info":"↹⩛22014↸↹⩛24553=↹⩛22014","layer":3},{"info":"↹⩛22014⊭∹↮=↹⩛44032","layer":2},{"info":"NaN↹⊜↹⩛44032=NaN","layer":1},{"info":"↹⩛5011⩍⋽⫝̸↹⩛52055=↹⩛43441","layer":3},{"info":"↹⩛22305⩧⪆↹⩛15005=↹⩛-15005","layer":3},{"info":"↹⩛43441⪬↹⩛-15005=↹⩛5414","layer":2},{"info":"↹⩛13245⇼⇔∾↹⩛22220=↹⩛4531","layer":3},{"info":"↹⩛4552⫳≱↱↹⩛5210=↹⩛-540","layer":3},{"info":"↹⩛4531⨜⨶↹⩛-540=↹⩛115101","layer":2},{"info":"↹⩛5414⩚⊴⇥↹⩛115101=↹⩛-125240","layer":1},{"info":"NaN≀⩗∶↹⩛-125240=NaN","layer":0}]} +{"id":784,"expression_no_base_symbol":"≉((⊑$5019$)⨵⪆$1797$≒∊$7475$)∌($1884$∀⇚≩$2310$⫃⨇(⇜⊴$1781$))","expression":"≉((⊑↹⩛35123)⨵⪆↹⩛12153≒∊↹⩛54335)∌(↹⩛12420∀⇚≩↹⩛14410⫃⨇(⇜⊴↹⩛12125))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13697,"operation_count":8,"complexity_ratio":1712.125,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":5019,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1797,"base":6},"right_expr":{"type":"numeric_atoms","value":7475,"base":6}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1884,"base":6},"right_expr":{"type":"numeric_atoms","value":2310,"base":6}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1781,"base":6}}}}},"used_operators":["e1ybzncUwg","8cLx32lpNA","2DQ55sFlQl","IkUmn0D7oy","5KTvxBwnZo","09Ly4LVMIf","LRNGc0VcxI","XwDhCwWbUn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","X99M06cbEe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5019","layer":4},{"info":"compute unary expreesion, input=5019, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=7475","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=7475, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1313","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-1313, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1884","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=2310, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1781","layer":4},{"info":"compute unary expreesion, input=1781, 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=-406602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-406602, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≉((⊑↹⩛35123)⨵⪆↹⩛12153≒∊↹⩛54335)∌(↹⩛12420∀⇚≩↹⩛14410⫃⨇(⇜⊴↹⩛12125))=NaN","reverse_text":"NaN=≉((⊑↹⩛35123)⨵��↹⩛12153≒∊↹⩛54335)∌(↹⩛12420∀⇚≩↹⩛14410⫃⨇(⇜⊴↹⩛12125))","cot":[{"info":"⊑↹⩛35123=↹⩛520","layer":3},{"info":"↹⩛12153≒∊↹⩛54335=↹⩛-10025","layer":3},{"info":"↹⩛520⨵⪆↹⩛-10025=↹⩛424","layer":2},{"info":"↹⩛12420∀⇚≩↹⩛14410=NaN","layer":3},{"info":"⇜⊴↹⩛12125=↹⩛-12414230","layer":3},{"info":"NaN⫃⨇↹⩛-12414230=NaN","layer":2},{"info":"↹⩛424∌NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]} +{"id":785,"expression_no_base_symbol":"(($1584$≃$3755$⪃↞⩐)⫔⩽⩺($2448$⇼⇔∾$2523$*$1579$∘$3405$))≒∊(⇨($2346$+⇶⊼$5908$))≹⇙⪍($1210$⪕$5743$∽$5697$⊝⪿⪼$2502$)","expression":"((↹⩛11200≃↹⩛25215⪃↞⩐)⫔⩽⩺(↹⩛15200⇼⇔∾↹⩛15403*↹⩛11151∘↹⩛23433))≒∊(⇨(↹⩛14510+⇶⊼↹⩛43204))≹⇙⪍(↹⩛5334⪕↹⩛42331∽↹⩛42213⊝⪿⪼↹⩛15330)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":896,"operation_count":13,"complexity_ratio":68.92307692307692,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1584,"base":6},"right_expr":{"type":"numeric_atoms","value":3755,"base":6}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2448,"base":6},"right_expr":{"type":"numeric_atoms","value":2523,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1579,"base":6},"right_expr":{"type":"numeric_atoms","value":3405,"base":6}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2346,"base":6},"right_expr":{"type":"numeric_atoms","value":5908,"base":6}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1210,"base":6},"right_expr":{"type":"numeric_atoms","value":5743,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5697,"base":6},"right_expr":{"type":"numeric_atoms","value":2502,"base":6}}}}},"used_operators":["5KTvxBwnZo","i9eR4S00cU","grXIztHqDa","YbVcJGFEVW","9HNa5Wba9A","tifHPKVTfV","Z5m6OM72h2","AHs5Up7iyr","G9tJMlZ94a","TpPTUOHfaN","y4ImoPnbV5","umQnsF7QlU","3Oe9XWJUTD"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tw270M8GLb","fu6greOZ01","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","dWAJyo7jo9","k8jYdgA6NY","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=3755","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3755, 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=-6376","layer":3},{"info":"compute unary expreesion, input=-6376, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=390096343","layer":2},{"info":"number node, value=2448","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=2523, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=75","layer":3},{"info":"number node, value=1579","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=3405, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3158","layer":3},{"info":"compute binary expreesion, left_input=75, right_input=3158, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=236850","layer":2},{"info":"compute binary expreesion, left_input=390096343, right_input=236850, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2346","layer":4},{"info":"number node, value=5908","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=5908, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"number node, value=1210","layer":4},{"info":"number node, value=5743","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=5743, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=5697","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=5697, right_input=2502, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=78901","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=78901, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-236250","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-236250, 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=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11200≃↹⩛25215⪃↞⩐)⫔⩽⩺(↹⩛15200⇼⇔∾↹⩛15403*↹⩛11151∘↹⩛23433))≒∊(⇨(↹⩛14510+⇶⊼↹⩛43204))≹⇙⪍(↹⩛5334⪕↹⩛42331∽↹⩛42213⊝⪿⪼↹⩛15330)=NaN","reverse_text":"NaN=((↹⩛11200≃↹⩛25215⪃↞⩐)⫔⩽⩺(↹⩛15200⇼⇔∾↹⩛15403*↹⩛11151∘↹⩛23433))≒∊(⇨(↹⩛14510+⇶⊼↹⩛43204))≹⇙⪍(↹⩛5334⪕↹⩛42331∽↹⩛42213⊝⪿⪼↹⩛15330)","cot":[{"info":"↹⩛11200≃↹⩛25215=↹⩛-45304","layer":3},{"info":"↹⩛-45304⪃↞⩐=↹⩛102413041331","layer":2},{"info":"↹⩛15200⇼⇔∾↹⩛15403=↹⩛203","layer":3},{"info":"↹⩛11151∘↹⩛23433=↹⩛22342","layer":3},{"info":"↹⩛203*↹⩛22342=↹⩛5024310","layer":2},{"info":"↹⩛102413041331⫔⩽⩺↹⩛5024310=NaN","layer":1},{"info":"↹⩛14510+⇶⊼↹⩛43204=NaN","layer":3},{"info":"⇨NaN=NaN","layer":2},{"info":"↹⩛5334⪕↹⩛42331=↹⩛-131","layer":3},{"info":"↹⩛42213⊝⪿⪼↹⩛15330=↹⩛1405141","layer":3},{"info":"↹⩛-131∽↹⩛1405141=↹⩛-5021430","layer":2},{"info":"NaN≹⇙⪍↹⩛-5021430=NaN","layer":1},{"info":"NaN≒∊NaN=NaN","layer":0}]} +{"id":786,"expression_no_base_symbol":"(($9174$≄⊠$2857$)⨚⇆$6016$⪟⇏$4179$)⋕⪉⪜(($1301$⨐⩸⫘$3574$)↬($1007$≬⇓$4325$))⪉⨛(↣≠⋷$3185$⩖⊿$2109$)≧⫂∧($8368$⫰⋱$2975$)⫞⩸⩒($9228$∕⩚$2526$)","expression":"((↹⩛110250≄⊠↹⩛21121)⨚⇆↹⩛43504⪟⇏↹⩛31203)⋕⪉⪜((↹⩛10005⨐⩸⫘↹⩛24314)↬(↹⩛4355≬⇓↹⩛32005))⪉⨛(↣≠⋷↹⩛22425⩖⊿↹⩛13433)≧⫂∧(↹⩛102424⫰⋱↹⩛21435)⫞⩸⩒(↹⩛110420∕⩚↹⩛15410)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":362111,"operation_count":14,"complexity_ratio":25865.071428571428,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":9174,"base":6},"right_expr":{"type":"numeric_atoms","value":2857,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6016,"base":6},"right_expr":{"type":"numeric_atoms","value":4179,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1301,"base":6},"right_expr":{"type":"numeric_atoms","value":3574,"base":6}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1007,"base":6},"right_expr":{"type":"numeric_atoms","value":4325,"base":6}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3185,"base":6},"right_expr":{"type":"numeric_atoms","value":2109,"base":6}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":8368,"base":6},"right_expr":{"type":"numeric_atoms","value":2975,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":9228,"base":6},"right_expr":{"type":"numeric_atoms","value":2526,"base":6}}}}},"used_operators":["EWw2JM7wp4","z6LnFrNh4i","lwHaAYXP2r","vXNesLlMH1","GODebY97qR","B5M0gjZbta","fu6greOZ01","jWTQ2TZYIH","Ph9nP6C5qx","Asc51vEJeQ","RZ5CV9rWsJ","XGcMNugi78","6o9Blt3TJ6","z9ffQ9n5Zr"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rGHVDoGpnC","3ViojmjbAp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9174","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=9174, right_input=2857, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=50380","layer":3},{"info":"number node, value=6016","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=6016, right_input=4179, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=50380, right_input=-1, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=1301","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=3574, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=4325, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=3185","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=2109, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=4050","layer":3},{"info":"compute unary expreesion, input=4050, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=8368","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=8368, right_input=2975, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-8335","layer":3},{"info":"number node, value=9228","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=9228, right_input=2526, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-9231","layer":3},{"info":"compute binary expreesion, left_input=-8335, right_input=-9231, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-8335","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8335, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛110250≄⊠↹⩛21121)⨚⇆↹⩛43504⪟⇏↹⩛31203)⋕⪉⪜((↹⩛10005⨐⩸⫘↹⩛24314)↬(↹⩛4355≬⇓↹⩛32005))⪉⨛(↣≠⋷↹⩛22425⩖⊿↹⩛13433)≧⫂∧(↹⩛102424⫰⋱↹⩛21435)⫞⩸⩒(↹⩛110420∕⩚↹⩛15410)=NaN","reverse_text":"NaN=((↹⩛110250≄⊠↹⩛21121)⨚⇆↹⩛43504⪟⇏↹⩛31203)⋕⪉⪜((↹⩛10005⨐⩸⫘↹⩛24314)↬(↹⩛4355≬⇓↹⩛32005))⪉⨛(↣≠⋷↹⩛22425⩖⊿↹⩛13433)≧⫂∧(↹⩛102424⫰⋱↹⩛21435)⫞⩸⩒(↹⩛110420∕⩚↹⩛15410)","cot":[{"info":"↹⩛110250≄⊠↹⩛21121=↹⩛1025124","layer":3},{"info":"↹⩛43504⪟⇏↹⩛31203=↹⩛-1","layer":3},{"info":"↹⩛1025124⨚⇆↹⩛-1=NaN","layer":2},{"info":"↹⩛10005⨐⩸⫘↹⩛24314=NaN","layer":3},{"info":"↹⩛4355≬⇓���⩛32005=↹⩛-34","layer":3},{"info":"NaN↬↹⩛-34=NaN","layer":2},{"info":"NaN⋕⪉⪜NaN=↹⩛540","layer":1},{"info":"↹⩛22425⩖⊿↹⩛13433=↹⩛30430","layer":3},{"info":"↣≠⋷↹⩛30430=NaN","layer":2},{"info":"↹⩛102424⫰⋱↹⩛21435=↹⩛-102331","layer":3},{"info":"↹⩛110420∕⩚↹⩛15410=↹⩛-110423","layer":3},{"info":"↹⩛-102331⫞⩸⩒↹⩛-110423=↹⩛-102331","layer":2},{"info":"NaN≧⫂∧↹⩛-102331=NaN","layer":1},{"info":"↹⩛540⪉⨛NaN=NaN","layer":0}]} +{"id":787,"expression_no_base_symbol":"((($1663$↼⊘⨖$4071$)⇚⪠)⪣⫩)⪁$6929$⨼⩣$1305$⋥≓≎($1504$⫔⩽⩺$1199$)∙⊟(≪(⊊≼∋$1677$))","expression":"(((↹⩛11411↼⊘⨖↹⩛30503)⇚⪠)⪣⫩)⪁↹⩛52025⨼⩣↹⩛10013⋥≓≎(↹⩛10544⫔⩽⩺↹⩛5315)∙⊟(≪(⊊≼∋↹⩛11433))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31694,"operation_count":10,"complexity_ratio":3169.4,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1663,"base":6},"right_expr":{"type":"numeric_atoms","value":4071,"base":6}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":6929,"base":6},"right_expr":{"type":"numeric_atoms","value":1305,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1504,"base":6},"right_expr":{"type":"numeric_atoms","value":1199,"base":6}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1677,"base":6}}}}},"used_operators":["I7sXao9hZE","iuk5sVOGFA","Loh9y4A90B","bPywburJMS","SxTAKzQCrw","Qy55tPpLXF","JxwMv5le6e","i9eR4S00cU","Qtd6bqUJcN","FWz7pXsQhA"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Tw270M8GLb","fu6greOZ01","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=4071, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7920","layer":3},{"info":"compute unary expreesion, input=7920, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=125452800","layer":2},{"info":"compute unary expreesion, input=125452800, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=376358367","layer":1},{"info":"number node, value=6929","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=6929, right_input=1305, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1199, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=5235","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=5235, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21414","layer":1},{"info":"compute binary expreesion, left_input=376358367, right_input=21414, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛11411↼⊘⨖↹⩛30503)⇚⪠)⪣⫩)⪁↹⩛52025⨼⩣↹⩛10013⋥≓≎(↹⩛10544⫔⩽⩺↹��5315)∙⊟(≪(⊊≼∋↹⩛11433))=NaN","reverse_text":"NaN=(((↹⩛11411↼⊘⨖↹⩛30503)⇚⪠)⪣⫩)⪁↹⩛52025⨼⩣↹⩛10013⋥≓≎(↹⩛10544⫔⩽⩺↹⩛5315)∙⊟(≪(⊊≼∋↹⩛11433))","cot":[{"info":"↹⩛11411↼⊘⨖↹⩛30503=↹⩛100400","layer":3},{"info":"↹⩛100400⇚⪠=↹⩛20240520000","layer":2},{"info":"↹⩛20240520000⪣⫩=↹⩛101202355503","layer":1},{"info":"↹⩛52025⨼⩣↹⩛10013=NaN","layer":3},{"info":"↹⩛10544⫔⩽⩺↹⩛5315=NaN","layer":3},{"info":"NaN⋥≓≎NaN=↹⩛151","layer":2},{"info":"⊊≼∋↹⩛11433=↹⩛-2023","layer":3},{"info":"≪↹⩛-2023=↹⩛40123","layer":2},{"info":"↹⩛151∙⊟↹⩛40123=↹⩛243050","layer":1},{"info":"↹⩛101202355503⪁↹⩛243050=NaN","layer":0}]} +{"id":788,"expression_no_base_symbol":"((⇈$2555$)⫒⫫($3625$⇮⋭$1985$))⪝((⨈⫕$4909$)≝⊰⇂)≓∲($6152$⨻⩈⩔$1902$∈)⩦($3619$∺≝⩲$1152$⊨($1021$⨴∎))","expression":"((⇈↹⩛15455)⫒⫫(↹⩛24441⇮⋭↹⩛13105))⪝((⨈⫕↹⩛34421)≝⊰⇂)≓∲(↹⩛44252⨻⩈⩔↹⩛12450∈)⩦(↹⩛24431∺≝⩲↹⩛5200⊨(↹⩛4421⨴∎))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3653,"operation_count":13,"complexity_ratio":281.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2555,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3625,"base":6},"right_expr":{"type":"numeric_atoms","value":1985,"base":6}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4909,"base":6}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6152,"base":6},"right_expr":{"type":"numeric_atoms","value":1902,"base":6}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3619,"base":6},"right_expr":{"type":"numeric_atoms","value":1152,"base":6}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1021,"base":6}}}}},"used_operators":["s1XTVnmDOJ","wicAB68Tmb","6Ko8hGgeMq","SLLxy00UIr","vkpjKywKVM","htSmYCowi5","megm06wKyl","0kmYd0q39Y","ztP7wcbY7m","nEsXyWgiOK","vg4gO5BX6G","KPf6cnQVty","CpSg5vQTgA"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","DlLNRPXxWL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":4},{"info":"compute unary expreesion, input=2555, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=3625","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=1985, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-473, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=3217","layer":2},{"info":"number node, value=4909","layer":4},{"info":"compute unary expreesion, input=4909, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-176","layer":2},{"info":"compute binary expreesion, left_input=3217, right_input=-176, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-13971","layer":1},{"info":"number node, value=6152","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=6152, right_input=1902, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=40815","layer":3},{"info":"compute unary expreesion, input=40815, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=121774","layer":2},{"info":"number node, value=3619","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=1152, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=121774, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=243548","layer":1},{"info":"compute binary expreesion, left_input=-13971, right_input=243548, 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":6,"result_base":6,"text":"((⇈↹⩛15455)⫒⫫(↹⩛24441⇮⋭↹⩛13105))⪝((⨈⫕↹⩛34421)≝⊰⇂)≓∲(↹⩛44252⨻⩈⩔↹⩛12450∈)⩦(↹⩛24431∺≝⩲↹⩛5200⊨(↹⩛4421⨴∎))=↹⩛151","reverse_text":"↹⩛151=((⇈↹⩛15455)⫒⫫(↹⩛24441⇮⋭↹⩛13105))⪝((⨈⫕↹⩛34421)≝⊰⇂)≓∲(↹⩛44252⨻⩈⩔↹⩛12450∈)⩦(↹⩛24431∺≝⩲↹⩛5200⊨(↹⩛4421⨴∎))","cot":[{"info":"⇈↹⩛15455=↹⩛-2023","layer":3},{"info":"↹⩛24441⇮⋭↹⩛13105=↹⩛-2105","layer":3},{"info":"↹⩛-2023⫒⫫↹⩛-2105=↹⩛22521","layer":2},{"info":"⨈⫕↹⩛34421=↹⩛-33","layer":3},{"info":"↹⩛-33≝⊰⇂=↹⩛-452","layer":2},{"info":"↹⩛22521⪝↹⩛-452=↹⩛-144403","layer":1},{"info":"↹⩛44252⨻⩈⩔↹⩛12450=↹⩛512543","layer":3},{"info":"↹⩛512543∈=↹⩛2335434","layer":2},{"info":"↹⩛24431∺≝⩲↹⩛5200=↹⩛424","layer":3},{"info":"↹⩛4421⨴∎=NaN","layer":3},{"info":"↹⩛424⊨NaN=NaN","layer":2},{"info":"↹⩛2335434⩦NaN=↹⩛5115312","layer":1},{"info":"↹⩛-144403≓∲↹⩛5115312=↹⩛151","layer":0}]} +{"id":789,"expression_no_base_symbol":"(⊑($7485$↹⊜$1544$)⫣⪄⊒(⇜⊴$6701$))⊪","expression":"(⊑(↹⩛54353↹⊜↹⩛11052)⫣⪄⊒(⇜⊴↹⩛51005))⊪","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":592,"operation_count":5,"complexity_ratio":118.4,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":7485,"base":6},"right_expr":{"type":"numeric_atoms","value":1544,"base":6}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":6701,"base":6}}}}},"used_operators":["zVYPLywUTj","IkUmn0D7oy","RabNbG55vr","9bazX3JMtO","XwDhCwWbUn"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7485","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=7485, right_input=1544, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=8698","layer":3},{"info":"number node, value=6701","layer":4},{"info":"compute unary expreesion, input=6701, 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=-1567722","layer":3},{"info":"compute binary expreesion, left_input=8698, right_input=-1567722, 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":2},{"info":"compute unary expreesion, input=160, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, 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":6,"result_base":6,"text":"(⊑(↹⩛54353↹⊜↹⩛11052)⫣⪄⊒(⇜⊴↹⩛51005))⊪=↹⩛0","reverse_text":"↹⩛0=(⊑(↹⩛54353↹⊜↹⩛11052)⫣⪄⊒(⇜⊴↹⩛51005))⊪","cot":[{"info":"↹⩛54353↹⊜↹⩛11052=↹⩛104134","layer":3},{"info":"⇜⊴↹⩛51005=↹⩛-53333550","layer":3},{"info":"↹⩛104134⫣⪄⊒↹⩛-53333550=↹⩛424","layer":2},{"info":"⊑↹⩛424=↹⩛520","layer":1},{"info":"↹⩛520⊪=↹⩛0","layer":0}]} +{"id":790,"expression_no_base_symbol":"((⊤⊝$4876$)⩘($1646$∑⇟⊟$2357$)⪕((⇜⊴$7740$)⫌⩉⩟$1158$∷$1353$))⋣⋖((($1137$⊭↱$3994$)⪊≅)⊾⪯⋞$4987$⇂≾⫗$2169$⨔⇊$9169$≎⪠$1050$)","expression":"((⊤⊝↹⩛34324)⩘(↹⩛11342∑⇟⊟↹⩛14525)⪕((⇜⊴↹⩛55500)⫌⩉⩟↹⩛5210∷↹⩛10133))⋣⋖(((↹⩛5133⊭↱↹⩛30254)⪊≅)⊾⪯⋞↹⩛35031⇂≾⫗↹⩛14013⨔⇊↹⩛110241≎⪠↹⩛4510)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25911,"operation_count":14,"complexity_ratio":1850.7857142857142,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":4876,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1646,"base":6},"right_expr":{"type":"numeric_atoms","value":2357,"base":6}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":7740,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1158,"base":6},"right_expr":{"type":"numeric_atoms","value":1353,"base":6}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1137,"base":6},"right_expr":{"type":"numeric_atoms","value":3994,"base":6}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4987,"base":6},"right_expr":{"type":"numeric_atoms","value":2169,"base":6}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":9169,"base":6},"right_expr":{"type":"numeric_atoms","value":1050,"base":6}}}}},"used_operators":["J0M6qkBnIM","umQnsF7QlU","cHh1gJQ2o6","rXAclfmB4M","U7g4x0WXJJ","XIIwhv8d0m","XwDhCwWbUn","D3AQDKkPcf","HK0tfVPux8","bjFbhXSADs","COABgblf1C","JclMnS0uGI","aBQ6xLxuTc","aNhz54LH3e"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","NTOWxs364D","7j4O788W3g","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"↹⩛5515","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4876","layer":4},{"info":"compute unary expreesion, input=4876, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=8454","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=2357, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8454, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=7740","layer":4},{"info":"compute unary expreesion, input=7740, 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=-1812926","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1353, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1353","layer":3},{"info":"compute binary expreesion, left_input=-1812926, right_input=1353, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-50, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1271","layer":1},{"info":"number node, value=1137","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=3994, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5719","layer":3},{"info":"compute unary expreesion, input=5719, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=4987","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=4987, right_input=2169, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=9169","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=9169, right_input=1050, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=19558, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19558, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=38690","layer":1},{"info":"compute binary expreesion, left_input=1271, right_input=38690, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1271","layer":0}],"base":6,"result_base":6,"text":"((⊤⊝↹⩛34324)⩘(↹⩛11342∑⇟⊟↹⩛14525)⪕((⇜⊴↹⩛55500)⫌⩉⩟↹⩛5210∷↹⩛10133))⋣⋖(((↹⩛5133⊭↱↹⩛30254)⪊≅)⊾⪯⋞↹⩛35031⇂≾⫗↹⩛14013⨔⇊↹⩛110241≎⪠↹⩛4510)=↹⩛5515","reverse_text":"↹⩛5515=((⊤⊝↹⩛34324)⩘(↹⩛11342∑⇟⊟↹⩛14525)⪕((⇜⊴↹⩛55500)⫌⩉⩟↹⩛5210∷↹⩛10133))⋣⋖(((↹⩛5133⊭↱↹⩛30254)⪊≅)⊾⪯⋞↹⩛35031⇂≾⫗↹⩛14013⨔⇊↹⩛110241≎⪠↹⩛4510)","cot":[{"info":"⊤⊝↹⩛34324=↹⩛103050","layer":3},{"info":"↹⩛11342∑⇟⊟↹⩛14525=NaN","layer":3},{"info":"↹⩛103050⩘NaN=↹⩛424","layer":2},{"info":"⇜⊴↹⩛55500=↹⩛-102505102","layer":3},{"info":"↹⩛5210∷↹⩛10133=↹⩛10133","layer":3},{"info":"↹⩛-102505102⫌⩉⩟↹⩛10133=↹⩛-122","layer":2},{"info":"↹⩛424⪕↹⩛-122=↹⩛5515","layer":1},{"info":"↹⩛5133⊭↱↹⩛30254=↹⩛42251","layer":3},{"info":"↹⩛42251⪊≅=↹⩛0","layer":2},{"info":"↹⩛35031⇂≾⫗↹⩛14013=↹⩛-3044","layer":3},{"info":"↹⩛110241≎⪠↹⩛4510=↹⩛230314","layer":3},{"info":"↹⩛-3044⨔⇊↹⩛230314=↹⩛230314","layer":2},{"info":"↹⩛0⊾⪯⋞↹⩛230314=↹⩛455042","layer":1},{"info":"↹⩛5515⋣⋖↹⩛455042=↹⩛5515","layer":0}]} +{"id":791,"expression_no_base_symbol":"⨛(($3430$⫠)≀⫉($3957$⩘⨬⇊))≨(($1575$⫌⩉⩟$1484$)⊨$2418$⇴∐$2993$)","expression":"⨛((↹⩛23514⫠)≀⫉(↹⩛30153⩘⨬⇊))≨((↹⩛11143⫌⩉⩟↹⩛10512)⊨↹⩛15110⇴∐↹⩛21505)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":61879,"operation_count":8,"complexity_ratio":7734.875,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":3430,"base":6}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3957,"base":6}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1575,"base":6},"right_expr":{"type":"numeric_atoms","value":1484,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2418,"base":6},"right_expr":{"type":"numeric_atoms","value":2993,"base":6}}}}},"used_operators":["CoMdbyAt7R","0KMCeP1Jsh","oZj3VtZNQx","6SnOT2rOjz","XXmTpEpWTW","vg4gO5BX6G","XIIwhv8d0m","HnzytWxmAO"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3430","layer":4},{"info":"compute unary expreesion, input=3430, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3957","layer":4},{"info":"compute unary expreesion, input=3957, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1484, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=2993, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-25744","layer":1},{"info":"compute unary expreesion, input=-25744, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⨛((↹⩛23514⫠)≀⫉(↹⩛30153⩘⨬⇊))≨((↹⩛11143⫌⩉⩟↹⩛10512)⊨↹⩛15110⇴∐↹⩛21505)=↹⩛0","reverse_text":"↹⩛0=⨛((↹⩛23514⫠)≀⫉(↹⩛30153⩘⨬⇊))≨((↹⩛11143⫌⩉⩟↹⩛10512)⊨↹⩛15110⇴∐↹⩛21505)","cot":[{"info":"↹⩛23514⫠=↹⩛0","layer":3},{"info":"↹⩛30153⩘⨬⇊=NaN","layer":3},{"info":"↹⩛0≀⫉NaN=↹⩛21022","layer":2},{"info":"↹⩛11143⫌⩉⩟↹⩛10512=↹⩛-122","layer":3},{"info":"↹⩛15110⇴∐↹⩛21505=NaN","layer":3},{"info":"↹⩛-122⊨NaN=NaN","layer":2},{"info":"↹⩛21022≨NaN=↹⩛-315104","layer":1},{"info":"⨛↹⩛-315104=↹⩛0","layer":0}]} +{"id":792,"expression_no_base_symbol":"(($1875$⊉↱≁$1208$⊊)≦≮≮)⫘(⫖→$3024$↓$4028$⩷∴($3407$⩏))","expression":"((↹⩛12403⊉↱≁↹⩛5332⊊)≦≮≮)⫘(⫖→↹⩛22000↓↹⩛30352⩷∴(↹⩛23435⩏))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":330988,"operation_count":8,"complexity_ratio":41373.5,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1875,"base":6},"right_expr":{"type":"numeric_atoms","value":1208,"base":6}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3024,"base":6},"right_expr":{"type":"numeric_atoms","value":4028,"base":6}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":3407,"base":6}}}}},"used_operators":["48vC8HMD2b","D4vGDi5EA2","W9R8I5fN5A","w2P8NbNXyL","U4ylXWHChL","9FxExcQeMw","Af076pWI7l","iA2gmKZ3Wj"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","z6LnFrNh4i","Tcnh7f0tEr"],"result":"↹⩛51455425221","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1875","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=1208, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=11450","layer":3},{"info":"compute unary expreesion, input=11450, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute unary expreesion, input=90927, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-272781","layer":1},{"info":"number node, value=3024","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=4028, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3407","layer":4},{"info":"compute unary expreesion, input=3407, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-300","layer":2},{"info":"compute unary expreesion, input=-300, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-272781, right_input=177, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=320794861","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12403⊉↱≁↹⩛5332⊊)≦≮≮)⫘(⫖→↹⩛22000↓↹⩛30352⩷∴(↹⩛23435⩏))=↹⩛51455425221","reverse_text":"↹⩛51455425221=((↹⩛12403⊉↱≁↹⩛5332⊊)≦≮≮)⫘(⫖→↹⩛22000↓↹⩛30352⩷∴(↹⩛23435⩏))","cot":[{"info":"↹⩛12403⊉↱≁↹⩛5332=↹⩛125002","layer":3},{"info":"↹⩛125002⊊=↹⩛1540543","layer":2},{"info":"↹⩛1540543≦≮≮=↹⩛-5502513","layer":1},{"info":"↹⩛22000↓↹⩛30352=↹⩛-342","layer":3},{"info":"↹⩛23435⩏=↹⩛0","layer":3},{"info":"↹⩛-342⩷∴↹⩛0=↹⩛-1220","layer":2},{"info":"⫖→↹⩛-1220=↹⩛453","layer":1},{"info":"↹⩛-5502513⫘↹⩛453=↹⩛51455425221","layer":0}]} +{"id":793,"expression_no_base_symbol":"($1057$⫥∨⫟$1152$)↳≱($1366$⫰⋱$2257$)≬⋮(⩪∧⨌(∓$2549$))⨑≵⋬(∥⊫($1659$⫦⪉$3549$↱$3895$⪢$6825$))","expression":"(↹⩛4521⫥∨⫟↹⩛5200)↳≱(↹⩛10154⫰⋱↹⩛14241)≬⋮(⩪∧⨌(∓↹⩛15445))⨑≵⋬(∥⊫(↹⩛11403⫦⪉↹⩛24233↱↹⩛30011⪢↹⩛51333))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7186,"operation_count":11,"complexity_ratio":653.2727272727273,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1057,"base":6},"right_expr":{"type":"numeric_atoms","value":1152,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1366,"base":6},"right_expr":{"type":"numeric_atoms","value":2257,"base":6}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2549,"base":6}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1659,"base":6},"right_expr":{"type":"numeric_atoms","value":3549,"base":6}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3895,"base":6},"right_expr":{"type":"numeric_atoms","value":6825,"base":6}}}}},"used_operators":["XnXgA4xnOs","kbkesczE7y","JwTKLfZU96","KYD54nUTWz","6o9Blt3TJ6","6iOiAJX1F8","OwUj7dcsQK","P8v4zCKN1o","SR5kFfdi6N","wscyQdcy20","dWAJyo7jo9"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1152, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨��b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=2257, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1333","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1333, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2549","layer":4},{"info":"compute unary expreesion, input=2549, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-43107","layer":3},{"info":"compute unary expreesion, input=-43107, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-431070","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-431070, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1659","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=3549, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1582","layer":3},{"info":"number node, value=3895","layer":4},{"info":"number node, value=6825","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=6825, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1582, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4521⫥∨⫟↹⩛5200)↳≱(↹⩛10154⫰⋱↹⩛14241)≬⋮(⩪∧⨌(∓↹⩛15445))⨑≵⋬(∥⊫(↹⩛11403⫦⪉↹⩛24233↱↹⩛30011⪢↹⩛51333))=NaN","reverse_text":"NaN=(↹⩛4521⫥∨⫟↹⩛5200)↳≱(↹⩛10154⫰⋱↹⩛14241)≬⋮(⩪∧⨌(∓↹⩛15445))⨑≵⋬(∥⊫(↹⩛11403⫦⪉↹⩛24233↱↹⩛30011⪢↹⩛51333))","cot":[{"info":"↹⩛4521⫥∨⫟↹⩛5200=NaN","layer":3},{"info":"↹⩛10154⫰⋱↹⩛14241=↹⩛-10101","layer":3},{"info":"NaN↳≱↹⩛-10101=↹⩛0","layer":2},{"info":"∓↹⩛15445=↹⩛-531323","layer":3},{"info":"⩪∧⨌↹⩛-531323=↹⩛-13123410","layer":2},{"info":"↹⩛0≬⋮↹⩛-13123410=↹⩛4004","layer":1},{"info":"↹⩛11403⫦⪉↹⩛24233=↹⩛11154","layer":3},{"info":"↹⩛30011⪢↹⩛51333=NaN","layer":3},{"info":"↹⩛11154↱NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"↹⩛4004⨑≵⋬NaN=NaN","layer":0}]} +{"id":794,"expression_no_base_symbol":"(∓⪦$1116$⊉↱≁$3699$)⨿($7291$∥⊢⊲$3007$⩌⋺(⊿$6409$))≋⫹","expression":"(∓⪦↹⩛5100⊉↱≁↹⩛25043)⨿(↹⩛53431∥⊢⊲↹⩛21531⩌⋺(⊿↹⩛45401))≋⫹","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":78305,"operation_count":7,"complexity_ratio":11186.42857142857,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1116,"base":6},"right_expr":{"type":"numeric_atoms","value":3699,"base":6}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7291,"base":6},"right_expr":{"type":"numeric_atoms","value":3007,"base":6}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":6409,"base":6}}}}},"used_operators":["N41Kp7NANJ","abYXlopdE0","D309nIvmXG","w2P8NbNXyL","g7Hmc5v1ko","v1UQAVDJRr","DO4fhlbJSI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"↹���-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=3699, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-12148","layer":3},{"info":"compute unary expreesion, input=-12148, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-25942","layer":2},{"info":"number node, value=7291","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=7291, right_input=3007, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=6409","layer":4},{"info":"compute unary expreesion, input=6409, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-26374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26374, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-25942, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-134","layer":0}],"base":6,"result_base":6,"text":"(∓⪦↹⩛5100⊉↱≁↹⩛25043)⨿(↹⩛53431∥⊢⊲↹⩛21531⩌⋺(⊿↹⩛45401))≋⫹=↹⩛-342","reverse_text":"↹⩛-342=(∓⪦↹⩛5100⊉↱≁↹⩛25043)⨿(↹⩛53431∥⊢⊲↹⩛21531⩌⋺(⊿↹⩛45401))≋⫹","cot":[{"info":"↹⩛5100⊉↱≁↹⩛25043=↹⩛-132124","layer":3},{"info":"∓⪦↹⩛-132124=↹⩛-320034","layer":2},{"info":"↹⩛53431∥⊢⊲↹⩛21531=NaN","layer":3},{"info":"⊿↹⩛45401=↹⩛-322034","layer":3},{"info":"NaN⩌⋺↹⩛-322034=NaN","layer":2},{"info":"↹⩛-320034⨿NaN=↹⩛151","layer":1},{"info":"↹⩛151≋⫹=↹⩛-342","layer":0}]} +{"id":795,"expression_no_base_symbol":"⊄⩳↩(⊖∈$1056$↺$1641$⩵∡$4614$≨$1463$)","expression":"⊄⩳↩(⊖∈↹⩛4520↺↹⩛11333⩵∡↹⩛33210≨↹⩛10435)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":141322,"operation_count":5,"complexity_ratio":28264.4,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1056,"base":6},"right_expr":{"type":"numeric_atoms","value":1641,"base":6}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4614,"base":6},"right_expr":{"type":"numeric_atoms","value":1463,"base":6}}}}},"used_operators":["8w2t5hMYqp","YFxL8Sc2Zy","Y7wcNGrDQJ","7j4O788W3g","0KMCeP1Jsh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"-Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1056","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1641, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1641","layer":3},{"info":"number node, value=4614","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=4614, right_input=1463, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-43664","layer":3},{"info":"compute binary expreesion, left_input=1641, right_input=-43664, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-47067","layer":2},{"info":"compute unary expreesion, input=-47067, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-inf","layer":0}],"base":6,"result_base":6,"text":"⊄⩳↩(⊖∈↹⩛4520↺↹⩛11333⩵∡↹⩛33210≨↹⩛10435)=-Inf","reverse_text":"-Inf=⊄⩳↩(⊖∈↹⩛4520↺↹⩛11333⩵∡↹⩛33210≨↹⩛10435)","cot":[{"info":"↹⩛4520↺↹⩛11333=↹⩛11333","layer":3},{"info":"↹⩛33210≨↹⩛10435=↹⩛-534052","layer":3},{"info":"↹⩛11333⩵∡↹⩛-534052=↹⩛-1001523","layer":2},{"info":"⊖∈��⩛-1001523=Inf","layer":1},{"info":"⊄⩳↩Inf=-Inf","layer":0}]} +{"id":796,"expression_no_base_symbol":"(($2949$⊓⋫)⫯⪬∳($6786$↼⊘⨖$2594$)⪶≀⋏(≀↧⇸$3924$)≚⊃≕($3000$⫌⩉⩟$4870$))⫠","expression":"((↹⩛21353⊓⋫)⫯⪬∳(↹⩛51230↼⊘⨖↹⩛20002)⪶≀⋏(≀↧⇸↹⩛30100)≚⊃≕(↹⩛21520⫌⩉⩟↹⩛34314))⫠","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":398020,"operation_count":8,"complexity_ratio":49752.5,"tree":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":2949,"base":6}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6786,"base":6},"right_expr":{"type":"numeric_atoms","value":2594,"base":6}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3924,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3000,"base":6},"right_expr":{"type":"numeric_atoms","value":4870,"base":6}}}}},"used_operators":["6SnOT2rOjz","zR4jO40bMj","d7ASUq0ydm","IqGBaFP0uj","bPywburJMS","Bmrmz2XGnR","ljTHtUsqzn","XIIwhv8d0m"],"dependent_operators":["Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2949","layer":4},{"info":"compute unary expreesion, input=2949, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3077","layer":3},{"info":"number node, value=6786","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=6786, right_input=2594, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4966","layer":3},{"info":"compute binary expreesion, left_input=-3077, right_input=4966, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8758","layer":2},{"info":"number node, value=3924","layer":4},{"info":"compute unary expreesion, input=3924, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=7848","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=4870","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=4870, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=7848, right_input=-50, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=8758, right_input=67, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-26640","layer":1},{"info":"compute unary expreesion, input=-26640, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21353⊓⋫)⫯⪬∳(↹⩛51230↼⊘⨖↹⩛20002)⪶≀⋏(≀↧⇸↹⩛30100)≚⊃≕(↹⩛21520⫌⩉⩟↹⩛34314))⫠=↹⩛0","reverse_text":"↹⩛0=((↹⩛21353⊓⋫)⫯⪬∳(↹⩛51230↼⊘⨖↹⩛20002)⪶≀⋏(≀↧⇸↹⩛30100)≚⊃≕(↹⩛21520⫌⩉⩟↹⩛34314))⫠","cot":[{"info":"↹⩛21353⊓⋫=↹⩛-22125","layer":3},{"info":"↹⩛51230↼⊘⨖↹⩛20002=↹⩛34554","layer":3},{"info":"↹⩛-22125⫯⪬∳↹⩛34554=↹⩛104314","layer":2},{"info":"≀↧⇸↹⩛30100=↹⩛100200","layer":3},{"info":"↹⩛21520⫌⩉⩟↹⩛34314=↹⩛-122","layer":3},{"info":"↹⩛100200≚⊃≕↹⩛-122=↹⩛151","layer":2},{"info":"↹⩛104314⪶≀⋏↹⩛151=↹⩛-323200","layer":1},{"info":"↹⩛-323200⫠=↹⩛0","layer":0}]} +{"id":797,"expression_no_base_symbol":"≤/(⇈(($1225$↸$2271$)⪇≇⋚$1369$⊔$2175$))","expression":"≤/(⇈((↹⩛5401↸↹⩛14303)⪇≇⋚↹⩛10201⊔↹⩛14023))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2272,"operation_count":5,"complexity_ratio":454.4,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1225,"base":6},"right_expr":{"type":"numeric_atoms","value":2271,"base":6}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1369,"base":6},"right_expr":{"type":"numeric_atoms","value":2175,"base":6}}}}},"used_operators":["eLAdDNolq6","SLLxy00UIr","3sJ7IOPOlU","1eCjFl0mb9","E4l6HwMY31"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛4151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1225","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=2271, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1225","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=2175, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11213","layer":3},{"info":"compute binary expreesion, left_input=1225, right_input=11213, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=931","layer":0}],"base":6,"result_base":6,"text":"≤/(⇈((↹⩛5401↸↹⩛14303)⪇≇⋚↹⩛10201⊔↹⩛14023))=↹⩛4151","reverse_text":"↹⩛4151=≤/(⇈((↹⩛5401↸↹⩛14303)⪇≇⋚↹⩛10201⊔↹⩛14023))","cot":[{"info":"↹⩛5401↸↹⩛14303=↹⩛5401","layer":3},{"info":"↹⩛10201⊔↹⩛14023=↹⩛123525","layer":3},{"info":"↹⩛5401⪇≇⋚↹⩛123525=↹⩛0","layer":2},{"info":"⇈↹⩛0=↹⩛-2023","layer":1},{"info":"≤/↹⩛-2023=↹⩛4151","layer":0}]} +{"id":798,"expression_no_base_symbol":"(⨰⫟⨤($8334$⋹⋡⊁$1374$⩵∡$4372$⪡$2647$))⊝⪿⪼((≇⪴($4538$⪪$7115$))⪛⫼(($2969$⊭∹↮)∪⫐$1361$↓$1788$))","expression":"(⨰⫟⨤(↹⩛102330⋹⋡⊁↹⩛10210⩵∡↹⩛32124⪡↹⩛20131))⊝⪿⪼((≇⪴(↹⩛33002⪪↹⩛52535))⪛⫼((↹⩛21425⊭∹↮)∪⫐↹⩛10145↓↹⩛12140))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":173135,"operation_count":11,"complexity_ratio":15739.545454545454,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":8334,"base":6},"right_expr":{"type":"numeric_atoms","value":1374,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4372,"base":6},"right_expr":{"type":"numeric_atoms","value":2647,"base":6}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4538,"base":6},"right_expr":{"type":"numeric_atoms","value":7115,"base":6}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2969,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1361,"base":6},"right_expr":{"type":"numeric_atoms","value":1788,"base":6}}}}},"used_operators":["3Oe9XWJUTD","Tw270M8GLb","Y7wcNGrDQJ","As8RqfVLgs","oraRL2iQuh","hyuBjUqXlG","zoVPnxeHJ3","xD69zh8xqp","7YooWSwCyH","xNBdhnnwKq","Af076pWI7l"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","glklzrTFfD","tifHPKVTfV","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","rJVOvQCfKK","2DDjHMKMc0","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8334","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=8334, right_input=1374, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2124","layer":3},{"info":"number node, value=4372","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=2647, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=2124, right_input=107, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4262","layer":2},{"info":"compute unary expreesion, input=-4262, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4538","layer":4},{"info":"number node, value=7115","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=7115, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-681327","layer":3},{"info":"compute unary expreesion, input=-681327, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2725308","layer":2},{"info":"number node, value=2969","layer":4},{"info":"compute unary expreesion, input=2969, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5938","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1788, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=5938, right_input=-134, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5938","layer":2},{"info":"compute binary expreesion, left_input=-2725308, right_input=5938, 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=nan, right_input=968, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨰⫟⨤(↹⩛102330⋹⋡⊁↹⩛10210⩵∡↹⩛32124⪡↹⩛20131))⊝⪿⪼((≇⪴(↹⩛33002⪪↹⩛52535))⪛⫼((↹⩛21425⊭∹↮)∪⫐↹⩛10145↓↹⩛12140))=NaN","reverse_text":"NaN=(⨰⫟⨤(↹⩛102330⋹⋡⊁↹⩛10210⩵∡↹⩛32124⪡↹⩛20131))⊝⪿⪼((≇⪴(↹⩛33002⪪↹⩛52535))⪛⫼((↹⩛21425⊭∹↮)∪⫐↹⩛10145↓↹⩛12140))","cot":[{"info":"↹⩛102330⋹⋡⊁↹⩛10210=↹⩛13500","layer":3},{"info":"↹⩛32124⪡↹⩛20131=↹⩛255","layer":3},{"info":"↹⩛13500⩵∡↹⩛255=↹⩛-31422","layer":2},{"info":"⨰⫟⨤↹⩛-31422=NaN","layer":1},{"info":"↹⩛33002⪪↹⩛52535=↹⩛-22334143","layer":3},{"info":"≇⪴↹⩛-22334143=↹⩛-134225100","layer":2},{"info":"↹⩛21425⊭∹↮=↹⩛43254","layer":3},{"info":"↹⩛10145↓↹⩛12140=↹⩛-342","layer":3},{"info":"↹⩛43254∪⫐↹⩛-342=↹⩛43254","layer":2},{"info":"↹⩛-134225100⪛⫼↹⩛43254=↹⩛4252","layer":1},{"info":"NaN⊝⪿⪼↹⩛4252=NaN","layer":0}]} +{"id":799,"expression_no_base_symbol":"(⪡⇡≛($1419$≀⫉$3332$⪇≇⋚(⇉-⫰$1961$)))⩨(($1920$≦≮≮)⊭↱($3058$⩁))⋛(⪸($2352$≃$1437$))","expression":"(⪡⇡≛(↹⩛10323≀⫉↹⩛23232⪇≇⋚(⇉-⫰↹⩛13025)))⩨((↹⩛12520≦≮≮)⊭↱(↹⩛22054⩁))⋛(⪸(↹⩛14520≃↹⩛10353))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":556,"operation_count":11,"complexity_ratio":50.54545454545455,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1419,"base":6},"right_expr":{"type":"numeric_atoms","value":3332,"base":6}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1961,"base":6}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1920,"base":6}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3058,"base":6}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2352,"base":6},"right_expr":{"type":"numeric_atoms","value":1437,"base":6}}}}},"used_operators":["2DlMacCsIx","qL4PrbW1Dq","3sJ7IOPOlU","oZj3VtZNQx","IGFM8TAlm9","YbUVn0Rbpy","COABgblf1C","D4vGDi5EA2","5GqDbVmqXU","86A5ENbKR9","YbVcJGFEVW"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eH2TOUuTDT","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1419","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=3332, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1961","layer":4},{"info":"compute unary expreesion, input=1961, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=20, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=0","layer":1},{"info":"number node, value=1920","layer":4},{"info":"compute unary expreesion, input=1920, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5760","layer":3},{"info":"number node, value=3058","layer":4},{"info":"compute unary expreesion, input=3058, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-21684","layer":3},{"info":"compute binary expreesion, left_input=-5760, right_input=-21684, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-31843","layer":2},{"info":"number node, value=2352","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=1437, 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=-9448","layer":3},{"info":"compute unary expreesion, input=-9448, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=92582","layer":2},{"info":"compute binary expreesion, left_input=-31843, right_input=92582, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=-133791, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪡⇡≛(↹⩛10323≀⫉↹⩛23232⪇≇⋚(⇉-⫰↹⩛13025)))⩨((↹⩛12520≦≮≮)⊭↱(↹⩛22054⩁))⋛(⪸(↹⩛14520≃↹⩛10353))=NaN","reverse_text":"NaN=(⪡⇡≛(↹⩛10323≀⫉↹⩛23232⪇≇⋚(⇉-⫰↹⩛13025)))⩨((↹⩛12520≦≮≮)⊭↱(↹⩛22054⩁))⋛(⪸(↹⩛14520≃↹⩛10353))","cot":[{"info":"↹⩛10323≀⫉↹⩛23232=↹⩛21022","layer":3},{"info":"⇉-⫰↹⩛13025=↹⩛32","layer":3},{"info":"↹⩛21022⪇≇⋚↹⩛32=↹⩛0","layer":2},{"info":"⪡⇡≛↹⩛0=↹⩛0","layer":1},{"info":"↹⩛12520≦≮≮=↹⩛-42400","layer":3},{"info":"↹⩛22054⩁=↹⩛-244220","layer":3},{"info":"↹⩛-42400⊭↱↹⩛-244220=↹⩛-403231","layer":2},{"info":"↹⩛14520≃↹⩛10353=↹⩛-111424","layer":3},{"info":"⪸↹⩛-111424=↹⩛1552342","layer":2},{"info":"↹⩛-403231⋛↹⩛1552342=↹⩛-2511223","layer":1},{"info":"↹⩛0⩨↹⩛-2511223=NaN","layer":0}]} +{"id":800,"expression_no_base_symbol":"(⊙↵-(↡($1319$∲⫓$4254$)))⊍","expression":"(⊙↵-(↡(↹⩛10035∲⫓↹⩛31410)))⊍","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":64,"operation_count":4,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1319,"base":6},"right_expr":{"type":"numeric_atoms","value":4254,"base":6}}}}},"used_operators":["3nqY3DE9mg","oWn0xqSxBt","MXaNJeIAZ3","i8ToyICDmI"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-30533","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=4254","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=4254, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-4089","layer":0}],"base":6,"result_base":6,"text":"(⊙↵-(↡(↹⩛10035∲⫓↹⩛31410)))⊍=↹⩛-30533","reverse_text":"↹⩛-30533=(⊙↵-(↡(↹⩛10035∲⫓↹⩛31410)))⊍","cot":[{"info":"↹⩛10035∲⫓↹⩛31410=↹⩛0","layer":3},{"info":"↡↹⩛0=↹⩛0","layer":2},{"info":"⊙↵-↹⩛0=↹⩛0","layer":1},{"info":"↹⩛0⊍=↹⩛-30533","layer":0}]} +{"id":801,"expression_no_base_symbol":"($1425$⪷)⪃⊛⇣($4720$⨫⇇↔$2345$)∇⊂⋱(⨞⊢$1242$⩘$3466$)⨻⩈⩔(⇉-⫰($2052$⇚⪠)⫁⪎$1697$∘$5875$)","expression":"(↹⩛10333⪷)⪃⊛⇣(↹⩛33504⨫⇇↔↹⩛14505)∇⊂⋱(⨞⊢↹⩛5430⩘↹⩛24014)⨻⩈⩔(⇉-⫰(↹⩛13300⇚⪠)⫁⪎↹⩛11505∘↹⩛43111)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4305,"operation_count":11,"complexity_ratio":391.3636363636364,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1425,"base":6}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4720,"base":6},"right_expr":{"type":"numeric_atoms","value":2345,"base":6}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1242,"base":6},"right_expr":{"type":"numeric_atoms","value":3466,"base":6}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":2052,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1697,"base":6},"right_expr":{"type":"numeric_atoms","value":5875,"base":6}}}}},"used_operators":["nEsXyWgiOK","nhYeJWJD5X","rrgAzCduG9","Qctrpi3WzA","LXhwmt4mBO","xUOZtlo3hN","cHh1gJQ2o6","IGFM8TAlm9","xRrnTEsQ6j","Loh9y4A90B","Z5m6OM72h2"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Nsiff2A1zJ","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eH2TOUuTDT","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛52143","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1425","layer":4},{"info":"compute unary expreesion, input=1425, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=4720","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=2345, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=1242","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=3466, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-334, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1922","layer":1},{"info":"number node, value=2052","layer":4},{"info":"compute unary expreesion, input=2052, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=8421408","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=5875","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=5875, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3394","layer":3},{"info":"compute binary expreesion, left_input=8421408, right_input=3394, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=8418014","layer":2},{"info":"compute unary expreesion, input=8418014, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=1922, right_input=20, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=6975","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10333⪷)⪃⊛⇣(↹⩛33504⨫⇇↔↹⩛14505)∇⊂⋱(⨞⊢↹⩛5430⩘↹⩛24014)⨻⩈⩔(⇉-⫰(↹⩛13300⇚⪠)⫁⪎↹⩛11505∘↹⩛43111)=↹⩛52143","reverse_text":"↹⩛52143=(↹⩛10333⪷)⪃⊛⇣(↹⩛33504⨫⇇↔↹⩛14505)∇⊂⋱(⨞⊢↹⩛5430⩘↹⩛24014)⨻⩈⩔(⇉-⫰(↹⩛13300⇚⪠)⫁⪎↹⩛11505∘↹⩛43111)","cot":[{"info":"↹⩛10333⪷=NaN","layer":3},{"info":"↹⩛33504⨫⇇↔↹⩛14505=↹⩛-2235","layer":3},{"info":"NaN⪃⊛⇣↹⩛-2235=↹⩛5414","layer":2},{"info":"↹⩛5430⩘↹⩛24014=↹⩛424","layer":3},{"info":"⨞⊢↹⩛424=↹⩛-1314","layer":2},{"info":"↹⩛5414∇⊂⋱↹⩛-1314=↹⩛12522","layer":1},{"info":"↹⩛13300⇚⪠=↹⩛500300000","layer":3},{"info":"↹⩛11505∘↹⩛43111=↹⩛23414","layer":3},{"info":"↹⩛500300000⫁⪎↹⩛23414=↹⩛500232142","layer":2},{"info":"⇉-⫰↹⩛500232142=↹⩛32","layer":1},{"info":"↹⩛12522⨻⩈⩔↹⩛32=↹⩛52143","layer":0}]} +{"id":802,"expression_no_base_symbol":"(⩏⊷≩(⊆⋠$1359$))⪎↠($2769$⋣⋖$1166$⫸⊐($3583$⊓⋫))⨐⩸⫘(⊗(($3330$⪁$1482$)⊭↱($4829$≬⋮$1729$)))","expression":"(⩏⊷≩(⊆⋠↹⩛10143))⪎↠(↹⩛20453⋣⋖↹⩛5222⫸⊐(↹⩛24331⊓⋫))⨐⩸⫘(⊗((↹⩛23230⪁↹⩛10510)⊭↱(↹⩛34205≬⋮↹⩛12001)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34302453,"operation_count":11,"complexity_ratio":3118404.8181818184,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1359,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2769,"base":6},"right_expr":{"type":"numeric_atoms","value":1166,"base":6}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":3583,"base":6}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3330,"base":6},"right_expr":{"type":"numeric_atoms","value":1482,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4829,"base":6},"right_expr":{"type":"numeric_atoms","value":1729,"base":6}}}}},"used_operators":["fu6greOZ01","3tVxb0NHM4","uOZ1tnYMDE","EBhcHTkKd8","mqXw5SEYmG","J0M6qkBnIM","IqGBaFP0uj","RhiyfpczSx","COABgblf1C","I7sXao9hZE","kbkesczE7y"],"dependent_operators":["3ViojmjbAp","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","23Mk6UjR3U","12rbrZMWeM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=614","layer":2},{"info":"number node, value=2769","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=1166, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2769","layer":3},{"info":"number node, value=3583","layer":4},{"info":"compute unary expreesion, input=3583, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3711","layer":3},{"info":"compute binary expreesion, left_input=2769, right_input=-3711, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-7551","layer":2},{"info":"compute binary expreesion, left_input=614, right_input=-7551, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1482","layer":1},{"info":"number node, value=3330","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=3330, right_input=1482, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4829","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=4829, right_input=1729, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1482, 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":6,"result_base":6,"text":"(⩏⊷≩(⊆⋠↹⩛10143))⪎↠(↹⩛20453⋣⋖↹⩛5222⫸⊐(↹⩛24331⊓⋫))⨐⩸⫘(⊗((↹⩛23230⪁↹⩛10510)⊭↱(↹⩛34205≬⋮↹⩛12001)))=NaN","reverse_text":"NaN=(⩏⊷≩(⊆⋠↹⩛10143))⪎↠(↹⩛20453⋣⋖↹⩛5222⫸⊐(↹⩛24331⊓⋫))⨐⩸⫘(⊗((↹⩛23230⪁↹⩛10510)⊭↱(↹⩛34205≬⋮↹⩛12001)))","cot":[{"info":"⊆⋠↹⩛10143=↹⩛0","layer":3},{"info":"⩏⊷≩↹⩛0=↹⩛2502","layer":2},{"info":"↹⩛20453⋣⋖↹⩛5222=↹⩛20453","layer":3},{"info":"↹⩛24331⊓⋫=↹⩛-25103","layer":3},{"info":"↹⩛20453⫸⊐↹⩛-25103=↹⩛-54543","layer":2},{"info":"↹⩛2502⪎↠↹⩛-54543=↹⩛10510","layer":1},{"info":"↹⩛23230⪁↹⩛10510=NaN","layer":3},{"info":"↹⩛34205≬⋮↹⩛12001=↹⩛4004","layer":3},{"info":"NaN⊭↱↹⩛4004=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"↹⩛10510⨐⩸⫘NaN=NaN","layer":0}]} +{"id":803,"expression_no_base_symbol":"(((⪭⩑⪱$2137$)⪁$2485$⫥∨⫟$6815$)≀⩗∶$2614$⋕⪉⪜$1651$⊴($1387$⇣⩺⋵$2989$))⩌⋺(⊢≑≆($3738$⫉⨲⊜$2724$⩌⋺($2369$⨎$4239$)))","expression":"(((⪭⩑⪱↹⩛13521)⪁↹⩛15301⫥∨⫟↹⩛51315)≀⩗∶↹⩛20034⋕⪉⪜↹⩛11351⊴(↹⩛10231⇣⩺⋵↹⩛21501))⩌⋺(⊢≑≆(↹⩛25150⫉⨲⊜↹⩛20340⩌⋺(↹⩛14545⨎↹⩛31343)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66801,"operation_count":12,"complexity_ratio":5566.75,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2137,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2485,"base":6},"right_expr":{"type":"numeric_atoms","value":6815,"base":6}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2614,"base":6},"right_expr":{"type":"numeric_atoms","value":1651,"base":6}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1387,"base":6},"right_expr":{"type":"numeric_atoms","value":2989,"base":6}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3738,"base":6},"right_expr":{"type":"numeric_atoms","value":2724,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2369,"base":6},"right_expr":{"type":"numeric_atoms","value":4239,"base":6}}}}},"used_operators":["g7Hmc5v1ko","8INZBEW696","I7sXao9hZE","SIgE0bArFf","KYD54nUTWz","Nsiff2A1zJ","z6LnFrNh4i","F4yD0voBRQ","27wFxooxGf","WhqkvtTD3t","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","zVYPLywUTj","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=2485","layer":4},{"info":"number node, value=6815","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=6815, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=2614","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=1651, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2989, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-368","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-368, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"number node, value=3738","layer":4},{"info":"number node, value=2724","layer":4},{"info":"compute binary expreesion, left_input=3738, right_input=2724, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2369","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=4239, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4239","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4239, 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=-4360","layer":2},{"info":"compute unary expreesion, input=-4360, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=8913","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8913, 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":6,"result_base":6,"text":"(((⪭⩑⪱↹⩛13521)⪁↹⩛15301⫥∨⫟↹⩛51315)≀⩗∶↹⩛20034⋕⪉⪜↹⩛11351⊴(↹⩛10231⇣⩺⋵↹⩛21501))⩌⋺(⊢≑≆(↹⩛25150⫉⨲⊜↹⩛20340⩌⋺(↹⩛14545⨎↹⩛31343)))=NaN","reverse_text":"NaN=(((⪭⩑⪱↹⩛13521)⪁↹⩛15301⫥∨⫟↹⩛51315)≀⩗∶↹⩛20034⋕⪉⪜↹⩛11351⊴(↹⩛10231⇣⩺⋵↹⩛21501))⩌⋺(⊢≑≆(↹⩛25150⫉⨲⊜↹⩛20340⩌⋺(↹⩛14545⨎↹⩛31343)))","cot":[{"info":"⪭⩑⪱↹⩛13521=↹⩛454202000","layer":3},{"info":"↹⩛15301⫥∨⫟↹⩛51315=NaN","layer":3},{"info":"↹⩛454202000⪁NaN=NaN","layer":2},{"info":"↹⩛20034⋕⪉⪜↹⩛11351=↹⩛20550","layer":3},{"info":"↹⩛10231⇣⩺⋵↹⩛21501=↹⩛-1412","layer":3},{"info":"↹⩛20550⊴↹⩛-1412=NaN","layer":2},{"info":"NaN≀⩗∶NaN=NaN","layer":1},{"info":"↹⩛25150⫉⨲⊜↹⩛20340=↹⩛0","layer":3},{"info":"↹⩛14545⨎↹⩛31343=↹⩛31343","layer":3},{"info":"↹⩛0⩌⋺↹⩛31343=↹⩛-32104","layer":2},{"info":"⊢≑≆↹⩛-32104=↹⩛105133","layer":1},{"info":"NaN⩌⋺↹⩛105133=NaN","layer":0}]} +{"id":804,"expression_no_base_symbol":"(($1175$≚⊃≕$5696$)⨂≜($1893$⇂≾⫗$3296$)∊∟⩊(⊬↢($3670$⫽⇹≛)))⨥⫆(($5975$↳≱$4341$/$1646$⋳⪒$7092$)∌($1417$+⪬∐$2978$∙∹∝$1754$↤⩊$1110$))","expression":"((↹⩛5235≚⊃≕↹⩛42212)⨂≜(↹⩛12433⇂≾⫗↹⩛23132)∊∟⩊(⊬↢(↹⩛24554⫽⇹≛)))⨥⫆((↹⩛43355↳≱↹⩛32033/↹⩛11342⋳⪒↹⩛52500)∌(↹⩛10321+⪬∐↹⩛21442∙∹∝↹⩛12042↤⩊↹⩛5050))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":485725,"operation_count":14,"complexity_ratio":34694.642857142855,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1175,"base":6},"right_expr":{"type":"numeric_atoms","value":5696,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1893,"base":6},"right_expr":{"type":"numeric_atoms","value":3296,"base":6}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":3670,"base":6}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5975,"base":6},"right_expr":{"type":"numeric_atoms","value":4341,"base":6}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1646,"base":6},"right_expr":{"type":"numeric_atoms","value":7092,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1417,"base":6},"right_expr":{"type":"numeric_atoms","value":2978,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1754,"base":6},"right_expr":{"type":"numeric_atoms","value":1110,"base":6}}}}},"used_operators":["yXekIHxTD4","ddLRYrp01A","k1SHOSEABc","Bmrmz2XGnR","aBQ6xLxuTc","WPoGxAaPR1","NNaDxxp6OQ","8cLx32lpNA","XhwjNDsVaA","JwTKLfZU96","12rbrZMWeM","HmxsFra2vL","2GS7woTJqF","13rbtpv6ld"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=5696, 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=-18234","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=3296","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=3296, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-18234, right_input=-676, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3670","layer":4},{"info":"compute unary expreesion, input=3670, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute unary expreesion, input=272, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=218","layer":1},{"info":"number node, value=5975","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=5975, right_input=4341, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=7092","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=7092, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4087","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4087, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1417","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=2978, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4251","layer":3},{"info":"number node, value=1754","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=1110, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4251, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5235≚⊃≕↹⩛42212)⨂≜(↹⩛12433⇂≾⫗↹⩛23132)∊∟⩊(⊬↢(↹⩛24554⫽⇹≛)))⨥⫆((↹⩛43355↳≱↹⩛32033/↹⩛11342⋳⪒↹⩛52500)∌(↹⩛10321+⪬∐↹⩛21442∙∹∝↹⩛12042↤⩊↹⩛5050))=↹⩛0","reverse_text":"↹⩛0=((↹⩛5235≚⊃≕↹⩛42212)⨂≜(↹⩛12433⇂≾⫗↹⩛23132)∊∟⩊(⊬↢(↹⩛24554⫽⇹≛)))⨥⫆((↹⩛43355↳≱↹⩛32033/↹⩛11342⋳⪒↹⩛52500)∌(↹⩛10321+⪬∐↹⩛21442∙∹∝↹⩛12042↤⩊↹⩛5050))","cot":[{"info":"↹⩛5235≚⊃≕↹⩛42212=↹⩛-220230","layer":3},{"info":"↹⩛12433⇂≾⫗↹⩛23132=↹⩛-3044","layer":3},{"info":"↹⩛-220230⨂≜↹⩛-3044=NaN","layer":2},{"info":"↹⩛24554⫽⇹≛=↹⩛1132","layer":3},{"info":"⊬↢↹⩛1132=↹⩛1002","layer":2},{"info":"NaN∊∟⩊↹⩛1002=↹⩛1002","layer":1},{"info":"↹⩛43355↳≱↹⩛32033=↹⩛0","layer":3},{"info":"↹⩛11342⋳⪒↹⩛52500=↹⩛-30531","layer":3},{"info":"↹⩛0/↹⩛-30531=↹⩛0","layer":2},{"info":"↹⩛10321+⪬∐↹⩛21442=↹⩛-31403","layer":3},{"info":"↹⩛12042↤⩊↹⩛5050=NaN","layer":3},{"info":"↹⩛-31403∙∹∝NaN=↹⩛0","layer":2},{"info":"↹⩛0∌↹⩛0=↹⩛0","layer":1},{"info":"↹⩛1002⨥⫆↹⩛0=↹⩛0","layer":0}]} +{"id":805,"expression_no_base_symbol":"($2589$≦↸$2494$)≦↸($3075$⋭≵$3195$)⨪↰⇹(⫵↿$1974$)⫯⪬∳(⇘$2377$)∑⇟⊟($6625$≀⫉$2626$)⊢$5376$∓⋝$1358$≨((↘$6490$)⋾⨃∁(⋠∜$4431$))","expression":"(↹⩛15553≦↸↹⩛15314)≦↸(↹⩛22123⋭≵↹⩛22443)⨪↰⇹(⫵↿↹⩛13050)⫯⪬∳(⇘↹⩛15001)∑⇟⊟(↹⩛50401≀⫉↹⩛20054)⊢↹⩛40520∓⋝↹⩛10142≨((↘↹⩛50014)⋾⨃∁(⋠∜↹⩛32303))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":80803,"operation_count":15,"complexity_ratio":5386.866666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2589,"base":6},"right_expr":{"type":"numeric_atoms","value":2494,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3075,"base":6},"right_expr":{"type":"numeric_atoms","value":3195,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1974,"base":6}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2377,"base":6}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6625,"base":6},"right_expr":{"type":"numeric_atoms","value":2626,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5376,"base":6},"right_expr":{"type":"numeric_atoms","value":1358,"base":6}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":6490,"base":6}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4431,"base":6}}}}},"used_operators":["U7g4x0WXJJ","tmPS8pqC7x","RygbFNSyEJ","jBncVCNhdl","d7ASUq0ydm","ivGwdmUAux","MGuIdZPyUC","0KMCeP1Jsh","5twsqlHp2o","oZj3VtZNQx","PoHhknlbAi","212REbPD9h","LdNpr8hQHL","ZJpFhNJr3x"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","uFcxV4UQCh","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=2494, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9485","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=3195, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-9485, right_input=67, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=19517","layer":2},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=137002","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=137002, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-136284","layer":2},{"info":"compute binary expreesion, left_input=19517, right_input=-136284, 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=19517","layer":1},{"info":"number node, value=6625","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=6625, right_input=2626, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5376","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=1358, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=67, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5888","layer":2},{"info":"number node, value=6490","layer":4},{"info":"compute unary expreesion, input=6490, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=218","layer":3},{"info":"number node, value=4431","layer":4},{"info":"compute unary expreesion, input=4431, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=20008","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=20008, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-5888, right_input=inf, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=12432","layer":1},{"info":"compute binary expreesion, left_input=19517, right_input=12432, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15553≦↸↹⩛15314)≦↸(↹⩛22123⋭≵↹⩛22443)⨪↰⇹(⫵↿↹⩛13050)⫯⪬∳(⇘↹⩛15001)∑⇟⊟(↹⩛50401≀⫉↹⩛20054)⊢↹⩛40520∓⋝↹⩛10142≨((↘↹⩛50014)⋾⨃∁(⋠∜↹⩛32303))=NaN","reverse_text":"NaN=(↹⩛15553≦↸↹⩛15314)≦↸(↹⩛22123⋭≵↹⩛22443)⨪↰⇹(⫵↿↹⩛13050)⫯⪬∳(⇘↹⩛15001)∑⇟⊟(↹⩛50401≀⫉↹⩛20054)⊢↹⩛40520∓⋝↹⩛10142≨((↘↹⩛50014)⋾⨃∁(⋠∜↹⩛32303))","cot":[{"info":"↹⩛15553≦↸↹⩛15314=↹⩛-111525","layer":3},{"info":"↹⩛22123⋭≵↹⩛22443=↹⩛151","layer":3},{"info":"↹⩛-111525≦↸↹⩛151=↹⩛230205","layer":2},{"info":"⫵↿↹⩛13050=↹⩛345","layer":3},{"info":"⇘↹⩛15001=↹⩛2534134","layer":3},{"info":"↹⩛345⫯⪬∳↹⩛2534134=↹⩛-2530540","layer":2},{"info":"↹⩛230205⨪↰⇹↹⩛-2530540=↹⩛230205","layer":1},{"info":"↹⩛50401≀⫉↹⩛20054=↹⩛21022","layer":3},{"info":"↹⩛40520∓⋝↹⩛10142=↹⩛151","layer":3},{"info":"↹⩛21022⊢↹⩛151=↹⩛-43132","layer":2},{"info":"↘↹⩛50014=↹⩛1002","layer":3},{"info":"⋠∜↹⩛32303=↹⩛232344","layer":3},{"info":"↹⩛1002⋾⨃∁↹⩛232344=Inf","layer":2},{"info":"↹⩛-43132≨Inf=↹⩛133320","layer":1},{"info":"↹⩛230205∑⇟⊟↹⩛133320=NaN","layer":0}]} +{"id":806,"expression_no_base_symbol":"⊤⊝(⩎⋉($3582$⪚⩙≫))⊢(($1585$⊓⋫)⩹($2566$⊜))","expression":"⊤⊝(⩎⋉(↹⩛24330⪚⩙≫))⊢((↹⩛11201⊓⋫)⩹(↹⩛15514⊜))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":141,"operation_count":7,"complexity_ratio":20.142857142857142,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":3582,"base":6}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1585,"base":6}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2566,"base":6}}}}},"used_operators":["rXAclfmB4M","5twsqlHp2o","FlXk3pOYe8","4n53wtyJvv","2Wsdkap16l","IqGBaFP0uj","Eev2Q7dYIw"],"dependent_operators":["sdazOOVcIp","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3582","layer":4},{"info":"compute unary expreesion, input=3582, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":2},{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1713","layer":3},{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-8528","layer":3},{"info":"compute binary expreesion, left_input=-1713, right_input=-8528, 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=-8530","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8530, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊤⊝(⩎⋉(↹⩛24330⪚⩙≫))⊢((↹⩛11201⊓⋫)⩹(↹⩛15514⊜))=NaN","reverse_text":"NaN=⊤⊝(⩎⋉(↹⩛24330⪚⩙≫))⊢((���⩛11201⊓⋫)⩹(↹⩛15514⊜))","cot":[{"info":"↹⩛24330⪚⩙≫=NaN","layer":3},{"info":"⩎⋉NaN=NaN","layer":2},{"info":"↹⩛11201⊓⋫=↹⩛-11533","layer":3},{"info":"↹⩛15514⊜=↹⩛-103252","layer":3},{"info":"↹⩛-11533⩹↹⩛-103252=↹⩛-103254","layer":2},{"info":"NaN⊢↹⩛-103254=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]} +{"id":807,"expression_no_base_symbol":"⨩∲⋌(≯($1296$⪒$1003$)⨐($1172$⪁$1908$))","expression":"⨩∲⋌(≯(↹⩛10000⪒↹⩛4351)⨐(↹⩛5232⪁↹⩛12500))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44883254,"operation_count":5,"complexity_ratio":8976650.8,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1296,"base":6},"right_expr":{"type":"numeric_atoms","value":1003,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1172,"base":6},"right_expr":{"type":"numeric_atoms","value":1908,"base":6}}}}},"used_operators":["aSik1wnThz","keWfFq85dY","Noe24qw2ks","f6k1SAg4EE","I7sXao9hZE"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","g55IO6H4Gj","JLbD19bQDL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"↹⩛1033","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1003, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2299","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1908, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2299, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=4598","layer":2},{"info":"compute unary expreesion, input=4598, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=237","layer":0}],"base":6,"result_base":6,"text":"⨩∲⋌(≯(↹⩛10000⪒↹⩛4351)⨐(↹⩛5232⪁↹⩛12500))=↹⩛1033","reverse_text":"↹⩛1033=⨩∲⋌(≯(↹⩛10000⪒↹⩛4351)⨐(↹⩛5232⪁↹⩛12500))","cot":[{"info":"↹⩛10000⪒↹⩛4351=↹⩛-14351","layer":3},{"info":"↹⩛5232⪁↹⩛12500=NaN","layer":3},{"info":"↹⩛-14351⨐NaN=↹⩛33142","layer":2},{"info":"≯↹⩛33142=↹⩛0","layer":1},{"info":"⨩∲⋌↹⩛0=↹⩛1033","layer":0}]} +{"id":808,"expression_no_base_symbol":"⋠∜((($1680$-$7319$)≚⊃≕(⇘$2929$))→⨶⪴(⪭⩑⪱$2228$⪃⊛⇣$2031$))","expression":"⋠∜(((↹⩛11440-↹⩛53515)≚⊃≕(⇘↹⩛21321))→⨶⪴(⪭⩑⪱↹⩛14152⪃⊛⇣↹⩛13223))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":248755,"operation_count":7,"complexity_ratio":35536.42857142857,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1680,"base":6},"right_expr":{"type":"numeric_atoms","value":7319,"base":6}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2929,"base":6}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2228,"base":6},"right_expr":{"type":"numeric_atoms","value":2031,"base":6}}}}},"used_operators":["ZJpFhNJr3x","bF6eod5Gvf","Bmrmz2XGnR","rysDP5nf3Z","MGuIdZPyUC","SIgE0bArFf","rrgAzCduG9"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛-13524021232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1680","layer":4},{"info":"number node, value=7319","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=7319, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5639","layer":3},{"info":"number node, value=2929","layer":4},{"info":"compute unary expreesion, input=2929, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=170122","layer":3},{"info":"compute binary expreesion, left_input=-5639, right_input=170122, 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=317522","layer":2},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2031, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=317522, right_input=8320752, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-24962256","layer":1},{"info":"compute unary expreesion, input=-24962256, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-99846740","layer":0}],"base":6,"result_base":6,"text":"⋠∜(((↹⩛11440-↹⩛53515)≚⊃≕(⇘↹⩛21321))→⨶⪴(⪭⩑⪱↹⩛14152⪃⊛⇣↹⩛13223))=↹⩛-13524021232","reverse_text":"↹⩛-13524021232=⋠∜(((↹⩛11440-↹⩛53515)≚⊃≕(⇘↹⩛21321))→⨶⪴(⪭⩑⪱↹⩛14152⪃⊛⇣↹⩛13223))","cot":[{"info":"↹⩛11440-↹⩛53515=↹⩛-42035","layer":3},{"info":"⇘↹⩛21321=↹⩛3351334","layer":3},{"info":"↹⩛-42035≚⊃≕↹⩛3351334=↹⩛10450002","layer":2},{"info":"↹⩛14152⪃⊛⇣↹⩛13223=↹⩛5414","layer":3},{"info":"⪭⩑⪱↹⩛5414=↹⩛454202000","layer":2},{"info":"↹⩛10450002→⨶⪴↹⩛454202000=↹⩛-2251010000","layer":1},{"info":"⋠∜↹⩛-2251010000=↹⩛-13524021232","layer":0}]} +{"id":809,"expression_no_base_symbol":"(⇋⊎⋝($4604$∼$1193$))⇻⋧≁($5218$⪡$1247$⪁$1846$⨻⩈⩔$1117$)+(($3733$∇⊂⋱$2527$)⋹)⋕⪉⪜((⪲⇎$4435$)⨎$2344$≁↽≥$4447$)","expression":"(⇋⊎⋝(↹⩛33152∼↹⩛5305))⇻⋧≁(↹⩛40054⪡↹⩛5435⪁↹⩛12314⨻⩈⩔↹⩛5101)+((↹⩛25141∇⊂⋱↹⩛15411)⋹)⋕⪉⪜((⪲⇎↹⩛32311)⨎↹⩛14504≁↽≥↹⩛32331)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6890,"operation_count":13,"complexity_ratio":530.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4604,"base":6},"right_expr":{"type":"numeric_atoms","value":1193,"base":6}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5218,"base":6},"right_expr":{"type":"numeric_atoms","value":1247,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1846,"base":6},"right_expr":{"type":"numeric_atoms","value":1117,"base":6}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3733,"base":6},"right_expr":{"type":"numeric_atoms","value":2527,"base":6}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4435,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2344,"base":6},"right_expr":{"type":"numeric_atoms","value":4447,"base":6}}}}},"used_operators":["W4YGzv6Whe","jCPkEVoL5K","CzM2PEoXns","DyGG3AbaNP","I7sXao9hZE","oraRL2iQuh","nEsXyWgiOK","z6LnFrNh4i","opAxDRczMr","nhYeJWJD5X","rJVOvQCfKK","XPYlsWDdGa","ncHt1X6cMc"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4604","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=1193, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=5218","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=5218, right_input=1247, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=1117, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=6367","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=6367, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"number node, value=3733","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=2527, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6920","layer":3},{"info":"compute unary expreesion, input=6920, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"number node, value=4435","layer":4},{"info":"compute unary expreesion, input=4435, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8870","layer":3},{"info":"number node, value=2344","layer":4},{"info":"number node, value=4447","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=4447, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=45092","layer":3},{"info":"compute binary expreesion, left_input=8870, right_input=45092, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=45092","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=45092, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇋⊎⋝(↹⩛33152∼↹⩛5305))⇻⋧≁(↹⩛40054⪡↹⩛5435⪁↹⩛12314⨻⩈⩔↹⩛5101)+((↹⩛25141∇⊂⋱↹⩛15411)⋹)⋕⪉⪜((⪲⇎↹⩛32311)⨎↹⩛14504≁↽≥↹⩛32331)=NaN","reverse_text":"NaN=(⇋⊎⋝(↹⩛33152∼↹⩛5305))⇻⋧≁(↹⩛40054⪡↹⩛5435⪁↹⩛12314⨻⩈⩔↹⩛5101)+((↹⩛25141∇⊂⋱↹⩛15411)⋹)⋕⪉⪜((⪲⇎↹⩛32311)⨎↹⩛14504≁↽≥↹⩛32331)","cot":[{"info":"↹⩛33152∼↹⩛5305=NaN","layer":3},{"info":"⇋⊎⋝NaN=NaN","layer":2},{"info":"↹⩛40054⪡↹⩛5435=↹⩛255","layer":3},{"info":"↹⩛12314⨻⩈⩔↹⩛5101=↹⩛45251","layer":3},{"info":"↹⩛255⪁↹⩛45251=NaN","layer":2},{"info":"NaN⇻⋧≁NaN=NaN","layer":1},{"info":"↹⩛25141∇⊂⋱↹⩛15411=↹⩛52012","layer":3},{"info":"↹⩛52012⋹=↹⩛-32","layer":2},{"info":"⪲⇎↹⩛32311=↹⩛105022","layer":3},{"info":"↹⩛14504≁↽≥↹⩛32331=↹⩛544432","layer":3},{"info":"↹⩛105022⨎↹⩛544432=↹⩛544432","layer":2},{"info":"↹⩛-32⋕⪉⪜↹⩛544432=↹⩛540","layer":1},{"info":"NaN+↹⩛540=NaN","layer":0}]} +{"id":810,"expression_no_base_symbol":"(($1318$⇤$8249$)⊴⇁⪶)⇍⊗($3058$⫁⪎$1874$⇡)⩷∴(⇜⊴(⫟$1061$⫞⩸⩒$6278$))","expression":"((↹⩛10034⇤↹⩛102105)⊴⇁⪶)⇍⊗(↹⩛22054⫁⪎↹⩛12402⇡)⩷∴(⇜⊴(⫟↹⩛4525⫞⩸⩒↹⩛45022))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":180788,"operation_count":9,"complexity_ratio":20087.555555555555,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1318,"base":6},"right_expr":{"type":"numeric_atoms","value":8249,"base":6}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3058,"base":6},"right_expr":{"type":"numeric_atoms","value":1874,"base":6}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1061,"base":6},"right_expr":{"type":"numeric_atoms","value":6278,"base":6}}}}},"used_operators":["9FxExcQeMw","5uvYHDjeKN","oo9mF6JIpo","YSKBFp38Pu","UqFzSgLMvQ","xRrnTEsQ6j","XwDhCwWbUn","z4E1FaHLuy","XGcMNugi78"],"dependent_operators":["rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"↹⩛40150212","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"number node, value=8249","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=8249, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-44987","layer":3},{"info":"compute unary expreesion, input=-44987, 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=-817444","layer":2},{"info":"number node, value=3058","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=3058, right_input=1874, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1184","layer":3},{"info":"compute unary expreesion, input=1184, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=-817444, right_input=-2917, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1061","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=6278, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6278","layer":3},{"info":"compute unary expreesion, input=6278, 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=-17927","layer":2},{"info":"compute unary expreesion, input=-17927, 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=-567300","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-567300, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1134080","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10034⇤↹⩛102105)⊴⇁⪶)⇍⊗(↹⩛22054⫁⪎↹⩛12402⇡)⩷∴(⇜⊴(⫟↹⩛4525⫞⩸⩒↹⩛45022))=↹⩛40150212","reverse_text":"↹⩛40150212=((↹⩛10034⇤↹⩛102105)⊴⇁⪶)⇍⊗(↹⩛22054⫁⪎↹⩛12402⇡)⩷∴(⇜⊴(⫟↹⩛4525⫞⩸⩒↹⩛45022))","cot":[{"info":"↹⩛10034⇤↹⩛102105=↹⩛-544135","layer":3},{"info":"↹⩛-544135⊴⇁⪶=↹⩛-25304244","layer":2},{"info":"↹⩛22054⫁⪎↹⩛12402=↹⩛5252","layer":3},{"info":"↹⩛5252⇡=↹⩛-21301","layer":2},{"info":"↹⩛-25304244⇍⊗↹⩛-21301=↹⩛-1044","layer":1},{"info":"↹⩛4525⫞⩸⩒↹⩛45022=↹⩛45022","layer":3},{"info":"⫟↹⩛45022=↹⩛-214555","layer":2},{"info":"⇜⊴↹⩛-214555=↹⩛-20054220","layer":1},{"info":"↹⩛-1044⩷∴↹⩛-20054220=↹⩛40150212","layer":0}]} +{"id":811,"expression_no_base_symbol":"(($1325$⫒⫫$3448$)∛$7268$⨿$1822$⫚⫇)⪥(($1642$∲⫓$1017$)⪎↠($1335$∑⇟⊟$1726$)→⨶⪴($2018$≨$1839$⨸⪁(⇉-⫰$1329$)))","expression":"((↹⩛10045⫒⫫↹⩛23544)∛↹⩛53352⨿↹⩛12234⫚⫇)⪥((↹⩛11334∲⫓↹⩛4413)⪎↠(↹⩛10103∑⇟⊟↹⩛11554)→⨶⪴(↹⩛13202≨↹⩛12303⨸⪁(⇉-⫰↹⩛10053)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":399,"operation_count":12,"complexity_ratio":33.25,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1325,"base":6},"right_expr":{"type":"numeric_atoms","value":3448,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":7268,"base":6},"right_expr":{"type":"numeric_atoms","value":1822,"base":6}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1642,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1335,"base":6},"right_expr":{"type":"numeric_atoms","value":1726,"base":6}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2018,"base":6},"right_expr":{"type":"numeric_atoms","value":1839,"base":6}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1329,"base":6}}}}},"used_operators":["QbnwKVWMIQ","SdCjLnB6rR","w2537kitQq","6Ko8hGgeMq","abYXlopdE0","bF6eod5Gvf","3tVxb0NHM4","i8ToyICDmI","U7g4x0WXJJ","g55IO6H4Gj","0KMCeP1Jsh","IGFM8TAlm9"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eH2TOUuTDT","eewbuw0ToL"],"result":"↹⩛-25420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=3448, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=7268","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=7268, right_input=1822, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1334","layer":1},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1017, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1726, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"number node, value=2018","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=1839, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-17704","layer":3},{"info":"number node, value=1329","layer":4},{"info":"compute unary expreesion, input=1329, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-17704, right_input=20, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-35368","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-35368, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=72440","layer":1},{"info":"compute binary expreesion, left_input=-1334, right_input=72440, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-3828","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10045⫒⫫↹⩛23544)∛↹⩛53352⨿↹⩛12234⫚⫇)⪥((↹⩛11334∲⫓↹⩛4413)⪎↠(↹⩛10103∑⇟⊟↹⩛11554)→⨶⪴(↹⩛13202≨↹⩛12303⨸���(⇉-⫰↹⩛10053)))=↹⩛-25420","reverse_text":"↹⩛-25420=((↹⩛10045⫒⫫↹⩛23544)∛↹⩛53352⨿↹⩛12234⫚⫇)⪥((↹⩛11334∲⫓↹⩛4413)⪎↠(↹⩛10103∑⇟⊟↹⩛11554)→⨶⪴(↹⩛13202≨↹⩛12303⨸⪁(⇉-⫰↹⩛10053)))","cot":[{"info":"↹⩛10045⫒⫫↹⩛23544=NaN","layer":3},{"info":"↹⩛53352⨿↹⩛12234=↹⩛-1251","layer":3},{"info":"NaN∛↹⩛-1251=↹⩛151","layer":2},{"info":"↹⩛151⫚⫇=↹⩛-10102","layer":1},{"info":"↹⩛11334∲⫓↹⩛4413=↹⩛0","layer":3},{"info":"↹⩛10103∑⇟⊟↹⩛11554=NaN","layer":3},{"info":"↹⩛0⪎↠NaN=↹⩛4004","layer":2},{"info":"↹⩛13202≨↹⩛12303=↹⩛-213544","layer":3},{"info":"⇉-⫰↹⩛10053=↹⩛32","layer":3},{"info":"↹⩛-213544⨸⪁↹⩛32=↹⩛-431424","layer":2},{"info":"↹⩛4004→⨶⪴↹⩛-431424=↹⩛1315212","layer":1},{"info":"↹⩛-10102⪥↹⩛1315212=↹⩛-25420","layer":0}]} +{"id":812,"expression_no_base_symbol":"(($2590$⪭$3421$)⪮%⊝($2066$∽$6518$)∕⩚$9246$↓$1785$⊉↱≁($1627$∕⩚$8237$))⪊≅","expression":"((↹⩛15554⪭↹⩛23501)⪮%⊝(↹⩛13322∽↹⩛50102)∕⩚↹⩛110450↓↹⩛12133⊉↱≁(↹⩛11311∕⩚↹⩛102045))⪊≅","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27332,"operation_count":8,"complexity_ratio":3416.5,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2590,"base":6},"right_expr":{"type":"numeric_atoms","value":3421,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2066,"base":6},"right_expr":{"type":"numeric_atoms","value":6518,"base":6}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":9246,"base":6},"right_expr":{"type":"numeric_atoms","value":1785,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1627,"base":6},"right_expr":{"type":"numeric_atoms","value":8237,"base":6}}}}},"used_operators":["bjFbhXSADs","z9ffQ9n5Zr","IWmyXbctLI","j9kHMeSvPp","y4ImoPnbV5","w2P8NbNXyL","Af076pWI7l"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","NTOWxs364D","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2590","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=3421, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2066","layer":4},{"info":"number node, value=6518","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=6518, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-29706","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-29706, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=326","layer":2},{"info":"number node, value=9246","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=9246, right_input=1785, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1627","layer":4},{"info":"number node, value=8237","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=8237, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1630","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-1630, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=8388","layer":2},{"info":"compute binary expreesion, left_input=326, right_input=8388, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-329","layer":1},{"info":"compute unary expreesion, input=-329, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15554⪭↹⩛23501)⪮%⊝(↹⩛13322∽↹⩛50102)∕⩚↹⩛110450↓↹⩛12133⊉↱≁(↹⩛11311∕⩚↹⩛102045))⪊≅=↹⩛0","reverse_text":"↹⩛0=((↹⩛15554⪭↹⩛23501)⪮%⊝(↹⩛13322∽↹⩛50102)∕⩚↹⩛110450↓↹⩛12133⊉↱≁(↹⩛11311∕⩚↹⩛102045))⪊≅","cot":[{"info":"↹⩛15554⪭↹⩛23501=↹⩛5","layer":3},{"info":"��⩛13322∽↹⩛50102=↹⩛-345310","layer":3},{"info":"↹⩛5⪮%⊝↹⩛-345310=↹⩛1302","layer":2},{"info":"↹⩛110450↓↹⩛12133=↹⩛-342","layer":3},{"info":"↹⩛11311∕⩚↹⩛102045=↹⩛-11314","layer":3},{"info":"↹⩛-342⊉↱≁↹⩛-11314=↹⩛102500","layer":2},{"info":"↹⩛1302∕⩚↹⩛102500=↹⩛-1305","layer":1},{"info":"↹⩛-1305⪊≅=↹⩛0","layer":0}]} +{"id":813,"expression_no_base_symbol":"(((∓$1354$)∲⫓$1650$⫌⩉⩟$6003$)⇷($2069$⫣⪄⊒$2134$)⊮⊟↴($1476$⪡$3275$))⊝⪿⪼($2886$⨚$5117$)⫗⊷⫓($2474$↙$7088$)⊴($4568$⪬$1045$⩵∡$2082$⇂≾⫗$6804$)","expression":"(((∓↹⩛10134)∲⫓↹⩛11350⫌⩉⩟↹⩛43443)⇷(↹⩛13325⫣⪄⊒↹⩛13514)⊮⊟↴(↹⩛10500⪡↹⩛23055))⊝⪿⪼(↹⩛21210⨚↹⩛35405)⫗⊷⫓(↹⩛15242↙↹⩛52452)⊴(↹⩛33052⪬↹⩛4501⩵∡↹⩛13350⇂≾⫗↹⩛51300)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":483747,"operation_count":15,"complexity_ratio":32249.8,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1354,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1650,"base":6},"right_expr":{"type":"numeric_atoms","value":6003,"base":6}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2069,"base":6},"right_expr":{"type":"numeric_atoms","value":2134,"base":6}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1476,"base":6},"right_expr":{"type":"numeric_atoms","value":3275,"base":6}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2886,"base":6},"right_expr":{"type":"numeric_atoms","value":5117,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2474,"base":6},"right_expr":{"type":"numeric_atoms","value":7088,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4568,"base":6},"right_expr":{"type":"numeric_atoms","value":1045,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2082,"base":6},"right_expr":{"type":"numeric_atoms","value":6804,"base":6}}}}},"used_operators":["3Oe9XWJUTD","mp7IySMOzn","i8ToyICDmI","OwUj7dcsQK","XIIwhv8d0m","QDVgd2eftb","RabNbG55vr","oraRL2iQuh","Nsiff2A1zJ","zashukvMKz","nREPSIbpBE","yyfyN0ffXY","Y7wcNGrDQJ","Ez1Nq5fNfI","aBQ6xLxuTc"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","dWAJyo7jo9","14qkJME0vr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","BjRHVeLaeN","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛113552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1354","layer":4},{"info":"compute unary expreesion, input=1354, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-25182","layer":3},{"info":"number node, value=1650","layer":4},{"info":"number node, value=6003","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=6003, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-25182, right_input=-50, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-25182","layer":2},{"info":"number node, value=2069","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=2069, right_input=2134, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9178","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=3275, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-9178, right_input=107, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-25182, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=2886","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=5117, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-13762","layer":3},{"info":"number node, value=2474","layer":4},{"info":"number node, value=7088","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=7088, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21264","layer":3},{"info":"compute binary expreesion, left_input=-13762, right_input=-21264, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=4568","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=4568, right_input=1045, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=2082","layer":4},{"info":"number node, value=6804","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=6804, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-676, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3265","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-3265, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":6,"result_base":6,"text":"(((∓↹⩛10134)∲⫓↹⩛11350⫌⩉⩟↹⩛43443)⇷(↹⩛13325⫣⪄⊒↹⩛13514)⊮⊟↴(↹⩛10500⪡↹⩛23055))⊝⪿⪼(↹⩛21210⨚↹⩛35405)⫗⊷⫓(↹⩛15242↙↹⩛52452)⊴(↹⩛33052⪬↹⩛4501⩵∡↹⩛13350⇂≾⫗↹⩛51300)=↹⩛113552","reverse_text":"↹⩛113552=(((∓↹⩛10134)∲⫓↹⩛11350⫌⩉⩟↹⩛43443)⇷(↹⩛13325⫣⪄⊒↹⩛13514)⊮⊟↴(↹⩛10500⪡↹⩛23055))⊝⪿⪼(↹⩛21210⨚↹⩛35405)⫗⊷⫓(↹⩛15242↙↹⩛52452)⊴(↹⩛33052⪬↹⩛4501⩵∡↹⩛13350⇂≾⫗↹⩛51300)","cot":[{"info":"∓↹⩛10134=↹⩛-312330","layer":3},{"info":"↹⩛11350⫌⩉⩟↹⩛43443=↹⩛-122","layer":3},{"info":"↹⩛-312330∲⫓↹⩛-122=↹⩛-312330","layer":2},{"info":"↹⩛13325⫣⪄⊒↹⩛13514=↹⩛-110254","layer":3},{"info":"↹⩛10500⪡↹⩛23055=↹⩛255","layer":3},{"info":"↹⩛-110254⊮⊟↴↹⩛255=↹⩛0","layer":2},{"info":"↹⩛-312330⇷↹⩛0=↹⩛0","layer":1},{"info":"↹⩛21210⨚↹⩛35405=↹⩛-143414","layer":3},{"info":"↹⩛15242↙↹⩛52452=↹⩛-242240","layer":3},{"info":"↹⩛-143414⫗⊷⫓↹⩛-242240=↹⩛-342","layer":2},{"info":"↹⩛33052⪬↹⩛4501=↹⩛5414","layer":3},{"info":"↹⩛13350⇂≾⫗↹⩛51300=↹⩛-3044","layer":3},{"info":"↹⩛5414⩵∡↹⩛-3044=↹⩛-23041","layer":2},{"info":"↹⩛-342⊴↹⩛-23041=NaN","layer":1},{"info":"↹⩛0⊝⪿⪼NaN=↹⩛113552","layer":0}]} +{"id":814,"expression_no_base_symbol":"↔(($1331$⩨$7531$)⩍⋽⫝̸$1775$⊕∕$5192$)≁↽≥(($3794$⩏)⋕⪉⪜($4071$⫉⨲⊜$1586$))","expression":"↔((↹⩛10055⩨↹⩛54511)⩍⋽⫝̸↹⩛12115⊕∕↹⩛40012)≁↽≥((↹⩛25322⩏)⋕⪉⪜(↹⩛30503⫉⨲⊜↹⩛11202))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":645,"operation_count":8,"complexity_ratio":80.625,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1331,"base":6},"right_expr":{"type":"numeric_atoms","value":7531,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1775,"base":6},"right_expr":{"type":"numeric_atoms","value":5192,"base":6}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":3794,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4071,"base":6},"right_expr":{"type":"numeric_atoms","value":1586,"base":6}}}}},"used_operators":["ruOEQAzv1W","ncHt1X6cMc","BiWNJpBvwn","2DlMacCsIx","9cloC0Ngie","z6LnFrNh4i","iA2gmKZ3Wj","WhqkvtTD3t"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","oWn0xqSxBt","3Oe9XWJUTD","Ph9nP6C5qx","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","z6LnFrNh4i","Tcnh7f0tEr","eewbuw0ToL","zVYPLywUTj"],"result":"↹⩛-250142","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=7531","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=7531, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"number node, value=1775","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=1775, right_input=5192, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1775","layer":3},{"info":"compute binary expreesion, left_input=-15, right_input=1775, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=829","layer":2},{"info":"number node, value=3794","layer":4},{"info":"compute unary expreesion, input=3794, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=4071","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=4071, right_input=1586, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=829, right_input=2802, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=22367","layer":1},{"info":"compute unary expreesion, input=22367, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-22094","layer":0}],"base":6,"result_base":6,"text":"↔((↹⩛10055⩨↹⩛54511)⩍⋽⫝̸↹⩛12115⊕∕↹⩛40012)≁↽≥((↹⩛25322⩏)⋕⪉⪜(↹⩛30503⫉⨲⊜↹⩛11202))=↹⩛-250142","reverse_text":"↹⩛-250142=↔((↹⩛10055⩨↹⩛54511)⩍⋽⫝̸↹⩛12115⊕∕↹⩛40012)≁↽≥((↹⩛25322⩏)⋕⪉⪜(↹⩛30503⫉⨲⊜↹⩛11202))","cot":[{"info":"↹⩛10055⩨↹⩛54511=↹⩛-23","layer":3},{"info":"↹⩛12115⊕∕↹⩛40012=↹⩛12115","layer":3},{"info":"↹⩛-23⩍⋽⫝̸↹⩛12115=↹⩛3501","layer":2},{"info":"↹⩛25322⩏=↹⩛0","layer":3},{"info":"↹⩛30503⫉⨲⊜↹⩛11202=↹⩛0","layer":3},{"info":"↹⩛0⋕⪉⪜↹⩛0=↹⩛20550","layer":2},{"info":"↹⩛3501≁↽≥↹⩛20550=↹⩛251315","layer":1},{"info":"↔↹⩛251315=↹⩛-250142","layer":0}]} +{"id":815,"expression_no_base_symbol":"($3147$⨌↪)↢($1020$↢$1137$)≬⋮($5719$∝$2123$)⋅⇍$2575$≦↸$1249$/(($1366$↺$1655$)≀⫉($1814$≭$3272$))∓⋝((⨛$1580$)⨴∎)","expression":"(↹⩛22323⨌↪)↢(↹⩛4420↢↹⩛5133)≬⋮(↹⩛42251∝↹⩛13455)⋅⇍↹⩛15531≦↸↹⩛5441/((↹⩛10154↺↹⩛11355)≀⫉(↹⩛12222≭↹⩛23052))∓⋝((⨛↹⩛11152)⨴∎)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":325,"operation_count":14,"complexity_ratio":23.214285714285715,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":3147,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1020,"base":6},"right_expr":{"type":"numeric_atoms","value":1137,"base":6}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5719,"base":6},"right_expr":{"type":"numeric_atoms","value":2123,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2575,"base":6},"right_expr":{"type":"numeric_atoms","value":1249,"base":6}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1366,"base":6},"right_expr":{"type":"numeric_atoms","value":1655,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1814,"base":6},"right_expr":{"type":"numeric_atoms","value":3272,"base":6}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1580,"base":6}}}}},"used_operators":["XhwjNDsVaA","kbkesczE7y","WR6HLWljOP","cWQsF5MvuD","AdZkA7nFnk","cTDWOvIxvz","RygbFNSyEJ","PoHhknlbAi","oZj3VtZNQx","7j4O788W3g","rxpJgHHUmx","CpSg5vQTgA","CoMdbyAt7R"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"↹⩛20","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3147","layer":4},{"info":"compute unary expreesion, input=3147, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1137, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=536","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=536, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=112","layer":2},{"info":"number node, value=5719","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=5719, right_input=2123, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5724","layer":3},{"info":"number node, value=2575","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=1249, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6967","layer":3},{"info":"compute binary expreesion, left_input=5724, right_input=-6967, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-6297","layer":2},{"info":"compute binary expreesion, left_input=112, right_input=-6297, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1366","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1655, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1655","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=3272, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1655, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1580","layer":4},{"info":"compute unary expreesion, input=1580, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=12","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22323⨌↪)↢(↹⩛4420↢↹⩛5133)≬⋮(↹⩛42251∝↹⩛13455)⋅⇍↹⩛15531≦↸↹⩛5441/((↹⩛10154↺↹⩛11355)≀⫉(↹⩛12222≭↹⩛23052))∓⋝((⨛↹⩛11152)⨴∎)=↹⩛20","reverse_text":"↹⩛20=(↹⩛22323⨌↪)↢(↹⩛4420↢↹⩛5133)≬⋮(↹⩛42251∝↹⩛13455)⋅⇍↹⩛15531≦↸↹⩛5441/((↹⩛10154↺↹⩛11355)≀⫉(↹⩛12222≭↹⩛23052))∓⋝((⨛↹⩛11152)⨴∎)","cot":[{"info":"↹⩛22323⨌↪=↹⩛-2120","layer":3},{"info":"↹⩛4420↢↹⩛5133=↹⩛2252","layer":3},{"info":"↹⩛-2120↢↹⩛2252=↹⩛304","layer":2},{"info":"↹⩛42251∝↹⩛13455=↹⩛42300","layer":3},{"info":"↹⩛15531≦↸↹⩛5441=↹⩛-52131","layer":3},{"info":"↹⩛42300⋅⇍↹⩛-52131=↹⩛-45053","layer":2},{"info":"↹⩛304≬⋮↹⩛-45053=↹⩛4004","layer":1},{"info":"↹⩛10154↺↹⩛11355=↹⩛11355","layer":3},{"info":"↹⩛12222≭↹⩛23052=NaN","layer":3},{"info":"↹⩛11355≀⫉NaN=↹⩛21022","layer":2},{"info":"⨛↹⩛11152=NaN","layer":3},{"info":"NaN⨴∎=NaN","layer":2},{"info":"↹⩛21022∓⋝NaN=↹⩛151","layer":1},{"info":"↹⩛4004/↹⩛151=↹⩛20","layer":0}]} +{"id":816,"expression_no_base_symbol":"(($1763$⨓$1261$)⇤($5106$⫚↹⊑$1121$)⨝⩣∺)⋝⋈⪟((($2371$%$2809$)⩼⇪↪($3308$⊬⨰$1312$))⫑)","expression":"((↹⩛12055⨓↹⩛5501)⇤(↹⩛35350⫚↹⊑↹⩛5105)⨝⩣∺)⋝⋈⪟(((↹⩛14551%↹⩛21001)⩼⇪↪(↹⩛23152⊬⨰↹⩛10024))⫑)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1348,"operation_count":9,"complexity_ratio":149.77777777777777,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1763,"base":6},"right_expr":{"type":"numeric_atoms","value":1261,"base":6}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5106,"base":6},"right_expr":{"type":"numeric_atoms","value":1121,"base":6}}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2371,"base":6},"right_expr":{"type":"numeric_atoms","value":2809,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3308,"base":6},"right_expr":{"type":"numeric_atoms","value":1312,"base":6}}}}},"used_operators":["2DDjHMKMc0","ancx8kZcWl","YSKBFp38Pu","3ViojmjbAp","dfKe02y8D2","CgIo77xlM2","ocnLzx9CaJ","k8jYdgA6NY","s3Fd5m9Dh2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛-253330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1261, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1264","layer":3},{"info":"number node, value=5106","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=5106, right_input=1121, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1264, right_input=-447, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=11403","layer":2},{"info":"compute unary expreesion, input=11403, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-22806","layer":1},{"info":"number node, value=2371","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=2809, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2371","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=1312, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7500","layer":3},{"info":"compute binary expreesion, left_input=2371, right_input=7500, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-48541","layer":2},{"info":"compute unary expreesion, input=-48541, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=-22806, right_input=-480, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-22806","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12055⨓↹⩛5501)⇤(↹⩛35350⫚↹⊑↹⩛5105)⨝⩣∺)⋝⋈⪟(((↹⩛14551%↹⩛21001)⩼⇪↪(↹⩛23152⊬⨰↹⩛10024))⫑)=↹⩛-253330","reverse_text":"↹⩛-253330=((↹⩛12055⨓↹⩛5501)⇤(↹⩛35350⫚↹⊑↹⩛5105)⨝⩣∺)⋝⋈⪟(((↹⩛14551%↹⩛21001)⩼⇪↪(↹⩛23152⊬⨰↹⩛10024))⫑)","cot":[{"info":"↹⩛12055⨓↹⩛5501=↹⩛-5504","layer":3},{"info":"↹⩛35350⫚↹⊑↹⩛5105=↹⩛-2023","layer":3},{"info":"↹⩛-5504⇤↹⩛-2023=↹⩛124443","layer":2},{"info":"↹⩛124443⨝⩣∺=↹⩛-253330","layer":1},{"info":"↹⩛14551%↹⩛21001=↹⩛14551","layer":3},{"info":"↹⩛23152⊬⨰↹⩛10024=↹⩛54420","layer":3},{"info":"↹⩛14551⩼⇪↪↹⩛54420=↹⩛-1012421","layer":2},{"info":"↹⩛-1012421⫑=↹⩛-2120","layer":1},{"info":"↹⩛-253330⋝⋈⪟↹⩛-2120=↹⩛-253330","layer":0}]} +{"id":817,"expression_no_base_symbol":"((↡$1804$)∘($4088$⋻⩜⩜$2848$))⨥⫆(($5305$⊉≛↸$2637$)⫯⪬∳($1561$⫠↝⫳))⫰⋱($2717$⋣⋖$1601$↬⩅∪)⩘($3474$∛$4094$⊎←↗)","expression":"((↡↹⩛12204)∘(↹⩛30532⋻⩜⩜↹⩛21104))⨥⫆((↹⩛40321⊉≛↸↹⩛20113)⫯⪬∳(↹⩛11121⫠↝⫳))⫰⋱(↹⩛20325⋣⋖↹⩛11225↬⩅∪)⩘(↹⩛24030∛↹⩛30542⊎←↗)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":64605,"operation_count":13,"complexity_ratio":4969.615384615385,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1804,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4088,"base":6},"right_expr":{"type":"numeric_atoms","value":2848,"base":6}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5305,"base":6},"right_expr":{"type":"numeric_atoms","value":2637,"base":6}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1561,"base":6}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2717,"base":6},"right_expr":{"type":"numeric_atoms","value":1601,"base":6}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3474,"base":6},"right_expr":{"type":"numeric_atoms","value":4094,"base":6}}}}},"used_operators":["6o9Blt3TJ6","yXekIHxTD4","Z5m6OM72h2","MXaNJeIAZ3","oDCm7WA9JY","d7ASUq0ydm","DZ8iAZOCBD","8n5YIzOsVS","cHh1gJQ2o6","VJ330n2nnx","J0M6qkBnIM","dwb5p0fa6d","w2537kitQq"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eH2TOUuTDT","rysDP5nf3Z","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"↹⩛-34255","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"compute unary expreesion, input=1804, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=16236","layer":3},{"info":"number node, value=4088","layer":4},{"info":"number node, value=2848","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=2848, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8176","layer":3},{"info":"compute binary expreesion, left_input=16236, right_input=8176, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=32472","layer":2},{"info":"number node, value=5305","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=2637, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10610","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=50575","layer":3},{"info":"compute binary expreesion, left_input=10610, right_input=50575, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩���)⋥≓≎(a⨰b)) , else }', output=2508","layer":2},{"info":"compute binary expreesion, left_input=32472, right_input=2508, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4892","layer":1},{"info":"number node, value=2717","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=1601, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2717","layer":3},{"info":"compute unary expreesion, input=2717, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-8151","layer":2},{"info":"number node, value=3474","layer":4},{"info":"number node, value=4094","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=4094, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=2025","layer":2},{"info":"compute binary expreesion, left_input=-8151, right_input=2025, 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=4892, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4859","layer":0}],"base":6,"result_base":6,"text":"((↡↹⩛12204)∘(↹⩛30532⋻⩜⩜↹⩛21104))⨥⫆((↹⩛40321⊉≛↸↹⩛20113)⫯⪬∳(↹⩛11121⫠↝⫳))⫰⋱(↹⩛20325⋣⋖↹⩛11225↬⩅∪)⩘(↹⩛24030∛↹⩛30542⊎←↗)=↹⩛-34255","reverse_text":"↹⩛-34255=((↡↹⩛12204)∘(↹⩛30532⋻⩜⩜↹⩛21104))⨥⫆((↹⩛40321⊉≛↸↹⩛20113)⫯⪬∳(↹⩛11121⫠↝⫳))⫰⋱(↹⩛20325⋣⋖↹⩛11225↬⩅∪)⩘(↹⩛24030∛↹⩛30542⊎←↗)","cot":[{"info":"↡↹⩛12204=↹⩛203100","layer":3},{"info":"↹⩛30532⋻⩜⩜↹⩛21104=↹⩛101504","layer":3},{"info":"↹⩛203100∘↹⩛101504=↹⩛410200","layer":2},{"info":"↹⩛40321⊉≛↸↹⩛20113=↹⩛121042","layer":3},{"info":"↹⩛11121⫠↝⫳=↹⩛1030051","layer":3},{"info":"↹⩛121042⫯⪬∳↹⩛1030051=↹⩛15340","layer":2},{"info":"↹⩛410200⨥⫆↹⩛15340=↹⩛34352","layer":1},{"info":"↹⩛20325⋣⋖↹⩛11225=↹⩛20325","layer":3},{"info":"↹⩛20325↬⩅∪=↹⩛-101423","layer":2},{"info":"↹⩛24030∛↹⩛30542=↹⩛-3034","layer":3},{"info":"↹⩛-3034⊎←↗=↹⩛13213","layer":2},{"info":"↹⩛-101423⩘↹⩛13213=↹⩛424","layer":1},{"info":"↹⩛34352⫰⋱↹⩛424=↹⩛-34255","layer":0}]} +{"id":818,"expression_no_base_symbol":"(($1942$⨽$1463$)⪛(⫶⊄≣$1271$)⇉⇉)⪝((↩⪖(∮$1291$))⩨(≤/$5450$⩺⪪$6499$))","expression":"((↹⩛12554⨽↹⩛10435)⪛(⫶⊄≣↹⩛5515)⇉⇉)⪝((↩⪖(∮↹⩛5551))⩨(≤/↹⩛41122⩺⪪↹⩛50031))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4192,"operation_count":10,"complexity_ratio":419.2,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1942,"base":6},"right_expr":{"type":"numeric_atoms","value":1463,"base":6}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1271,"base":6}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1291,"base":6}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5450,"base":6},"right_expr":{"type":"numeric_atoms","value":6499,"base":6}}}}},"used_operators":["wicAB68Tmb","diKm42VcIt","uFcxV4UQCh","8HhzD0ZcuI","wxb3vTeyAj","2DlMacCsIx","fG6uBQFnGz","CqXKPLVYql","eLAdDNolq6","uvdQJvN4PV"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1463, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11317167","layer":3},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=29097505","layer":3},{"info":"compute binary expreesion, left_input=-11317167, right_input=29097505, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=17780338","layer":2},{"info":"compute unary expreesion, input=17780338, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-1209048240","layer":1},{"info":"number node, value=1291","layer":4},{"info":"compute unary expreesion, input=1291, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-3250","layer":2},{"info":"number node, value=5450","layer":4},{"info":"number node, value=6499","layer":4},{"info":"compute binary expreesion, left_input=5450, right_input=6499, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2302","layer":2},{"info":"compute binary expreesion, left_input=-3250, right_input=2302, 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=-1209048240, right_input=3, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛12554⨽↹⩛10435)⪛(⫶⊄≣↹⩛5515)⇉⇉)⪝((↩⪖(∮↹⩛5551))⩨(≤/↹⩛41122⩺⪪↹⩛50031))=NaN","reverse_text":"NaN=((↹⩛12554⨽↹⩛10435)⪛(⫶⊄≣↹⩛5515)⇉⇉)⪝((↩⪖(∮↹⩛5551))⩨(≤/↹⩛41122⩺⪪↹⩛50031))","cot":[{"info":"↹⩛12554⨽↹⩛10435=↹⩛-1042322143","layer":3},{"info":"⫶⊄≣↹⩛5515=↹⩛2515354401","layer":3},{"info":"↹⩛-1042322143⪛↹⩛2515354401=↹⩛1433032214","layer":2},{"info":"↹⩛1433032214⇉⇉=↹⩛-315550033320","layer":1},{"info":"∮↹⩛5551=↹⩛151","layer":3},{"info":"↩⪖↹⩛151=↹⩛-23014","layer":2},{"info":"↹⩛41122⩺⪪↹⩛50031=↹⩛-12230","layer":3},{"info":"≤/↹⩛-12230=↹⩛14354","layer":2},{"info":"↹⩛-23014⩨↹⩛14354=↹⩛3","layer":1},{"info":"↹⩛-315550033320⪝↹⩛3=NaN","layer":0}]} +{"id":819,"expression_no_base_symbol":"($3625$⋅⇍$3869$⊍⩺⋍$1055$⊬⨰$1621$)→⨶⪴((⫓⪴$7485$)⪍↜⋙($1945$⨔≚≋$8362$))⩷∴($6994$↬$3178$)⩦($1163$∣$2078$)⪍↜⋙($3053$≌$7719$⊾⪯⋞$6793$⫁$1947$)","expression":"(↹⩛24441⋅⇍↹⩛25525⊍⩺⋍↹⩛4515⊬⨰↹⩛11301)→⨶⪴((⫓⪴↹⩛54353)⪍↜⋙(↹⩛13001⨔≚≋↹⩛102414))⩷∴(↹⩛52214↬↹⩛22414)⩦(↹⩛5215∣↹⩛13342)⪍↜⋙(↹⩛22045≌↹⩛55423⊾⪯⋞↹⩛51241⫁↹⩛13003)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15815,"operation_count":15,"complexity_ratio":1054.3333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3625,"base":6},"right_expr":{"type":"numeric_atoms","value":3869,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1055,"base":6},"right_expr":{"type":"numeric_atoms","value":1621,"base":6}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7485,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1945,"base":6},"right_expr":{"type":"numeric_atoms","value":8362,"base":6}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6994,"base":6},"right_expr":{"type":"numeric_atoms","value":3178,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1163,"base":6},"right_expr":{"type":"numeric_atoms","value":2078,"base":6}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3053,"base":6},"right_expr":{"type":"numeric_atoms","value":7719,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6793,"base":6},"right_expr":{"type":"numeric_atoms","value":1947,"base":6}}}}},"used_operators":["9FxExcQeMw","bF6eod5Gvf","OXDGMFPWZM","AdZkA7nFnk","s3Fd5m9Dh2","L05ObWFQCd","eLxqMNBOBk","Z57zeUYC9z","0kmYd0q39Y","B5M0gjZbta","PPChnnnBFF","HK0tfVPux8","lyWz822IDG","0ajvFaJAv0"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","9FxExcQeMw","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3625","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=3869, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1621, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6483","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=6483, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=7485","layer":4},{"info":"compute unary expreesion, input=7485, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=56025225","layer":3},{"info":"number node, value=1945","layer":4},{"info":"number node, value=8362","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=8362, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=56025225, right_input=9872, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=112030706","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=112030706, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-336092118","layer":1},{"info":"number node, value=6994","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=6994, right_input=3178, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1163","layer":4},{"info":"number node, value=2078","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=2078, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1163","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1163, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=3053","layer":4},{"info":"number node, value=7719","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=7719, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=6793","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=1947, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-336092118, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24441⋅⇍↹⩛25525⊍⩺⋍↹⩛4515⊬⨰↹⩛11301)→⨶⪴((⫓⪴↹⩛54353)⪍↜⋙(↹⩛13001⨔≚≋↹⩛102414))⩷∴(↹⩛52214↬↹⩛22414)⩦(↹⩛5215∣↹⩛13342)⪍↜⋙(↹⩛22045≌↹⩛55423⊾⪯⋞↹⩛51241⫁↹⩛13003)=NaN","reverse_text":"NaN=(↹⩛24441⋅⇍↹⩛25525⊍⩺⋍↹⩛4515⊬⨰↹⩛11301)→⨶⪴((⫓⪴↹⩛54353)⪍↜⋙(↹⩛13001⨔≚≋↹⩛102414))⩷∴(↹⩛52214↬↹⩛22414)⩦(↹⩛5215∣↹⩛13342)⪍↜⋙(↹⩛22045≌↹⩛55423⊾⪯⋞↹⩛51241⫁↹⩛13003)","cot":[{"info":"↹⩛24441⋅⇍↹⩛25525=↹⩛-34","layer":3},{"info":"↹⩛4515⊬⨰↹⩛11301=↹⩛50003","layer":3},{"info":"↹⩛-34⊍⩺⋍↹⩛50003=NaN","layer":2},{"info":"⫓⪴↹⩛54353=↹⩛5320452013","layer":3},{"info":"↹⩛13001⨔≚≋↹⩛102414=↹⩛113412","layer":3},{"info":"↹⩛5320452013⪍↜⋙↹⩛113412=↹⩛15041112402","layer":2},{"info":"NaN→⨶⪴↹⩛15041112402=↹⩛-53203342010","layer":1},{"info":"↹⩛52214↬↹⩛22414=NaN","layer":3},{"info":"↹⩛5215∣↹⩛13342=↹⩛5215","layer":3},{"info":"NaN⩦↹⩛5215=NaN","layer":2},{"info":"↹⩛22045≌↹⩛55423=NaN","layer":3},{"info":"↹⩛51241⫁↹⩛13003=↹⩛424","layer":3},{"info":"NaN⊾⪯⋞↹⩛424=NaN","layer":2},{"info":"NaN⪍↜⋙NaN=NaN","layer":1},{"info":"↹⩛-53203342010⩷∴NaN=NaN","layer":0}]} +{"id":820,"expression_no_base_symbol":"($1034$⫲≸⪮$1044$⨐⩸⫘(⇁⨣⪵$1979$))⨰($6427$⩖⊿$7237$%$4078$⨐$6384$)⫲≸⪮($2443$≎⊠⪸$6327$⫰⋱$1445$⊉↱≁$5341$)⇴(⋣($1590$⫳≱↱$3466$))","expression":"(↹⩛4442⫲≸⪮↹⩛4500⨐⩸⫘(⇁⨣⪵↹⩛13055))⨰(↹⩛45431⩖⊿↹⩛53301%↹⩛30514⨐↹⩛45320)⫲≸⪮(↹⩛15151≎⊠⪸↹⩛45143⫰⋱↹⩛10405⊉↱≁↹⩛40421)⇴(⋣(↹⩛11210⫳≱↱↹⩛24014))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1874,"operation_count":14,"complexity_ratio":133.85714285714286,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1034,"base":6},"right_expr":{"type":"numeric_atoms","value":1044,"base":6}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1979,"base":6}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":6427,"base":6},"right_expr":{"type":"numeric_atoms","value":7237,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4078,"base":6},"right_expr":{"type":"numeric_atoms","value":6384,"base":6}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2443,"base":6},"right_expr":{"type":"numeric_atoms","value":6327,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1445,"base":6},"right_expr":{"type":"numeric_atoms","value":5341,"base":6}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1590,"base":6},"right_expr":{"type":"numeric_atoms","value":3466,"base":6}}}}},"used_operators":["P3lXMJvFrc","eewbuw0ToL","fu6greOZ01","inkyxCbjAn","k8jYdgA6NY","RZ5CV9rWsJ","Noe24qw2ks","4JB6nKBMSY","6o9Blt3TJ6","bJkvcejdHO","w2P8NbNXyL","zQWRhDnn8F","ZvLB05nZmT"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","B5M0gjZbta","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1044, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1034","layer":3},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1034, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6427","layer":4},{"info":"number node, value=7237","layer":4},{"info":"compute binary expreesion, left_input=6427, right_input=7237, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=32106","layer":3},{"info":"number node, value=4078","layer":4},{"info":"number node, value=6384","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=6384, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8156","layer":3},{"info":"compute binary expreesion, left_input=32106, right_input=-8156, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-518","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-518, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2443","layer":4},{"info":"number node, value=6327","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=6327, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=632264","layer":3},{"info":"number node, value=1445","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=5341, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-18710","layer":3},{"info":"compute binary expreesion, left_input=632264, right_input=-18710, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-613487","layer":2},{"info":"number node, value=1590","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=3466, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=-613487, right_input=-113, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-3681534","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3681534, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4442⫲≸⪮↹⩛4500⨐⩸⫘(⇁⨣⪵↹⩛13055))⨰(↹⩛45431⩖⊿↹⩛53301%↹⩛30514⨐↹⩛45320)⫲≸⪮(↹⩛15151≎⊠⪸↹⩛45143⫰⋱↹⩛10405⊉↱≁↹⩛40421)⇴(⋣(↹⩛11210⫳≱↱↹⩛24014))=NaN","reverse_text":"NaN=(↹⩛4442⫲≸⪮↹⩛4500⨐⩸⫘(⇁⨣⪵↹⩛13055))⨰(↹⩛45431⩖⊿↹⩛53301%↹⩛30514⨐↹⩛45320)⫲≸⪮(↹⩛15151≎⊠⪸↹⩛45143⫰⋱↹⩛10405⊉↱≁↹⩛40421)⇴(⋣(↹⩛11210⫳≱↱↹⩛24014))","cot":[{"info":"↹⩛4442⫲≸⪮↹⩛4500=↹⩛4442","layer":3},{"info":"⇁⨣⪵↹⩛13055=NaN","layer":3},{"info":"↹⩛4442⨐⩸⫘NaN=NaN","layer":2},{"info":"↹⩛45431⩖⊿↹⩛53301=↹⩛404350","layer":3},{"info":"↹⩛30514⨐↹⩛45320=↹⩛-101432","layer":3},{"info":"↹⩛404350%↹⩛-101432=↹⩛-2222","layer":2},{"info":"NaN⨰↹⩛-2222=NaN","layer":1},{"info":"↹⩛15151≎⊠⪸↹⩛45143=↹⩛21315052","layer":3},{"info":"↹⩛10405⊉↱≁↹⩛40421=↹⩛-222342","layer":3},{"info":"↹⩛21315052⫰⋱↹⩛-222342=↹⩛-21052115","layer":2},{"info":"↹⩛11210⫳≱↱↹⩛24014=↹⩛-540","layer":3},{"info":"⋣↹⩛-540=↹⩛-305","layer":2},{"info":"↹⩛-21052115⇴↹⩛-305=↹⩛-210524050","layer":1},{"info":"NaN⫲≸⪮↹⩛-210524050=NaN","layer":0}]} +{"id":821,"expression_no_base_symbol":"((∨∊⋏(⊆⋠$1626$))⨐⩸⫘($2273$⨱∎)+⪬∐($1144$⋓$6076$))⇴(⫡⇟⇯(⨮↦↱$1483$)⪔⊥($4693$⪑⩈))","expression":"((∨∊⋏(⊆⋠↹⩛11310))⨐⩸⫘(↹⩛14305⨱∎)+⪬∐(↹⩛5144⋓↹⩛44044))⇴(⫡⇟⇯(⨮↦↱↹⩛10511)⪔⊥(↹⩛33421⪑⩈))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1234,"operation_count":11,"complexity_ratio":112.18181818181819,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"���⋠","unary_expr":{"type":"numeric_atoms","value":1626,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2273,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1144,"base":6},"right_expr":{"type":"numeric_atoms","value":6076,"base":6}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1483,"base":6}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":4693,"base":6}}}}},"used_operators":["4JB6nKBMSY","fu6greOZ01","R5aXW34M0v","EBhcHTkKd8","2GS7woTJqF","MmTdOpaElr","T2fj7uvVaJ","qWUSsah53b","HJ9erzHUuu","sYcpBQ0cFf","C6VvDP6HwP"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","3ViojmjbAp","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","g55IO6H4Gj","D4vGDi5EA2","tifHPKVTfV","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"↹⩛2200341110","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-8941","layer":2},{"info":"number node, value=2273","layer":4},{"info":"compute unary expreesion, input=2273, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=6076","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=6076, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-8941, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-8941","layer":1},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2932191","layer":3},{"info":"number node, value=4693","layer":4},{"info":"compute unary expreesion, input=4693, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=34441","layer":3},{"info":"compute binary expreesion, left_input=-2932191, right_input=34441, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-11797845","layer":2},{"info":"compute unary expreesion, input=-11797845, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=11798713","layer":1},{"info":"compute binary expreesion, left_input=-8941, right_input=11798713, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=23543394","layer":0}],"base":6,"result_base":6,"text":"((∨∊⋏(⊆⋠↹⩛11310))⨐⩸⫘(↹⩛14305⨱∎)+⪬∐(↹⩛5144⋓↹⩛44044))⇴(⫡⇟⇯(⨮↦↱↹⩛10511)⪔⊥(↹⩛33421⪑⩈))=↹⩛2200341110","reverse_text":"↹⩛2200341110=((∨∊⋏(⊆⋠↹⩛11310))⨐⩸⫘(↹⩛14305⨱∎)+⪬∐(↹⩛5144⋓↹⩛44044))⇴(⫡⇟⇯(⨮↦↱↹⩛10511)⪔⊥(↹⩛33421⪑⩈))","cot":[{"info":"⊆⋠↹⩛11310=↹⩛0","layer":3},{"info":"∨∊⋏↹⩛0=↹⩛-105221","layer":2},{"info":"↹⩛14305⨱∎=↹⩛0","layer":3},{"info":"↹⩛5144⋓↹⩛44044=↹⩛0","layer":3},{"info":"↹⩛0+⪬∐↹⩛0=↹⩛0","layer":2},{"info":"↹⩛-105221⨐⩸⫘↹⩛0=↹⩛-105221","layer":1},{"info":"⨮↦↱↹⩛10511=↹⩛-142502543","layer":3},{"info":"↹⩛33421⪑⩈=↹⩛423241","layer":3},{"info":"↹⩛-142502543⪔⊥↹⩛423241=↹⩛-1100511353","layer":2},{"info":"⫡⇟⇯↹⩛-1100511353=↹⩛1100515401","layer":1},{"info":"↹⩛-105221⇴↹⩛1100515401=↹⩛2200341110","layer":0}]} +{"id":822,"expression_no_base_symbol":"($8178$⨪↰⇹$7281$⫡⨏$2277$⫘$1083$)⇻⋧≁((⫡⇟⇯$1094$)⩘⨬⇊)≨(($9036$⪐)≃($1033$⋷$5020$)⪇≇⋚((≸$2077$)∝($2662$⫃⨇$4599$)))","expression":"(↹⩛101510⨪↰⇹↹⩛53413⫡⨏↹⩛14313⫘↹⩛5003)⇻⋧≁((⫡⇟⇯↹⩛5022)⩘⨬⇊)≨((↹⩛105500⪐)≃(↹⩛4441⋷↹⩛35124)⪇≇⋚((≸↹⩛13341)∝(↹⩛20154⫃⨇↹⩛33143)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5422421,"operation_count":14,"complexity_ratio":387315.78571428574,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8178,"base":6},"right_expr":{"type":"numeric_atoms","value":7281,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2277,"base":6},"right_expr":{"type":"numeric_atoms","value":1083,"base":6}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1094,"base":6}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":9036,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1033,"base":6},"right_expr":{"type":"numeric_atoms","value":5020,"base":6}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2077,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2662,"base":6},"right_expr":{"type":"numeric_atoms","value":4599,"base":6}}}}},"used_operators":["0KMCeP1Jsh","jCPkEVoL5K","QMFrweE19q","tmPS8pqC7x","48vC8HMD2b","XXmTpEpWTW","qWUSsah53b","3sJ7IOPOlU","YbVcJGFEVW","eH2TOUuTDT","23Mk6UjR3U","cTDWOvIxvz","eOf03JbCpp","09Ly4LVMIf"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","DZ8iAZOCBD","P8v4zCKN1o","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛11102","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8178","layer":4},{"info":"number node, value=7281","layer":4},{"info":"compute binary expreesion, left_input=8178, right_input=7281, 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=8178","layer":3},{"info":"number node, value=2277","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=1083, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2682157","layer":3},{"info":"compute binary expreesion, left_input=8178, right_input=2682157, 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=5405987","layer":2},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3056","layer":3},{"info":"compute unary expreesion, input=3056, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5405987, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"number node, value=9036","layer":4},{"info":"compute unary expreesion, input=9036, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=18072","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=5020, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9007","layer":3},{"info":"compute binary expreesion, left_input=18072, right_input=9007, 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=-72328","layer":2},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=2662","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=2662, right_input=4599, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-18428","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=-18428, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=63","layer":2},{"info":"compute binary expreesion, left_input=-72328, right_input=63, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1550","layer":0}],"base":6,"result_base":6,"text":"(↹⩛101510⨪↰⇹↹⩛53413⫡⨏↹⩛14313⫘↹⩛5003)⇻⋧≁((⫡⇟⇯↹⩛5022)⩘⨬⇊)≨((↹⩛105500⪐)≃(↹⩛4441⋷↹⩛35124)⪇≇⋚((≸↹⩛13341)∝(↹⩛20154⫃⨇↹⩛33143)))=↹⩛11102","reverse_text":"↹⩛11102=(↹⩛101510⨪↰⇹↹⩛53413⫡⨏↹⩛14313⫘↹⩛5003)⇻⋧≁((⫡⇟⇯↹⩛5022)⩘⨬⇊)≨((↹⩛105500⪐)≃(↹⩛4441⋷↹⩛35124)⪇≇⋚((≸↹⩛13341)∝(↹⩛20154⫃⨇↹⩛33143)))","cot":[{"info":"↹⩛101510⨪↰⇹↹⩛53413=↹⩛101510","layer":3},{"info":"↹⩛14313⫘↹⩛5003=↹⩛133253221","layer":3},{"info":"↹⩛101510⫡⨏↹⩛133253221=↹⩛311511415","layer":2},{"info":"⫡⇟⇯↹⩛5022=↹⩛22052","layer":3},{"info":"↹⩛22052⩘⨬⇊=NaN","layer":2},{"info":"↹⩛311511415⇻⋧≁NaN=↹⩛-2023","layer":1},{"info":"↹⩛105500⪐=↹⩛215400","layer":3},{"info":"↹⩛4441⋷↹⩛35124=↹⩛105411","layer":3},{"info":"↹⩛215400≃↹⩛105411=↹⩛-1314504","layer":2},{"info":"≸↹⩛13341=↹⩛134","layer":3},{"info":"↹⩛20154⫃⨇↹⩛33143=↹⩛-221152","layer":3},{"info":"↹⩛134∝↹⩛-221152=↹⩛143","layer":2},{"info":"↹⩛-1314504⪇≇⋚↹⩛143=↹⩛0","layer":1},{"info":"↹⩛-2023≨↹⩛0=↹⩛11102","layer":0}]} +{"id":823,"expression_no_base_symbol":"($4049$↬$2386$⪓⨏)⪮%⊝(⪝⪂⫅($3567$⫡⨏$3138$))⊭↱($1673$⪔$2155$+$2499$⨫⇇↔$7634$)⇍⊗(≑⋹($1712$⪁$3054$))","expression":"(↹⩛30425↬↹⩛15014⪓⨏)⪮%⊝(⪝⪂⫅(↹⩛24303⫡⨏↹⩛22310))⊭↱(↹⩛11425⪔↹⩛13551+↹⩛15323⨫⇇↔↹⩛55202)⇍⊗(≑⋹(↹⩛11532⪁↹⩛22050))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":131839427,"operation_count":12,"complexity_ratio":10986618.916666666,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4049,"base":6},"right_expr":{"type":"numeric_atoms","value":2386,"base":6}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3567,"base":6},"right_expr":{"type":"numeric_atoms","value":3138,"base":6}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1673,"base":6},"right_expr":{"type":"numeric_atoms","value":2155,"base":6}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2499,"base":6},"right_expr":{"type":"numeric_atoms","value":7634,"base":6}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1712,"base":6},"right_expr":{"type":"numeric_atoms","value":3054,"base":6}}}}},"used_operators":["COABgblf1C","IWmyXbctLI","4X9JU4Jbn6","B5M0gjZbta","XTarYq4gQB","QMFrweE19q","5uvYHDjeKN","W4YGzv6Whe","GjBEYRfMaF","LXhwmt4mBO","6B9nyZLogK","I7sXao9hZE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4049","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=2386, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=3567","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=3138, 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=24894","layer":3},{"info":"compute unary expreesion, input=24894, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-3659418","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3659418, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1673","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=2155, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2499","layer":4},{"info":"number node, value=7634","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=7634, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-527, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-77","layer":2},{"info":"number node, value=1712","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=3054, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-77, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30425↬↹⩛15014⪓⨏)⪮%⊝(⪝⪂⫅(↹⩛24303⫡⨏↹⩛22310))⊭↱(↹⩛11425⪔↹⩛13551+↹⩛15323⨫⇇↔↹⩛55202)⇍⊗(≑⋹(↹⩛11532⪁↹⩛22050))=NaN","reverse_text":"NaN=(↹⩛30425↬↹⩛15014⪓⨏)⪮%⊝(⪝⪂⫅(↹⩛24303⫡⨏↹⩛22310))⊭↱(↹⩛11425⪔↹⩛13551+↹⩛15323⨫⇇↔↹⩛55202)⇍⊗(≑⋹(↹⩛11532⪁↹⩛22050))","cot":[{"info":"↹⩛30425↬↹⩛15014=NaN","layer":3},{"info":"NaN⪓⨏=NaN","layer":2},{"info":"↹⩛24303⫡⨏↹⩛22310=↹⩛311130","layer":3},{"info":"⪝⪂⫅↹⩛311130=↹⩛-210233430","layer":2},{"info":"NaN⪮%⊝↹⩛-210233430=NaN","layer":1},{"info":"↹⩛11425⪔↹⩛13551=↹⩛2030","layer":3},{"info":"↹⩛15323⨫⇇↔↹⩛55202=↹⩛-2235","layer":3},{"info":"↹⩛2030+↹⩛-2235=↹⩛-205","layer":2},{"info":"↹⩛11532⪁↹⩛22050=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"↹⩛-205⇍⊗NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]} +{"id":824,"expression_no_base_symbol":"($5022$≄⊠$7916$)⪥($3678$∽$2328$)⪭≯(($5517$≀⫉$1471$)⨎⋸⪻)∖(≘(⋗⩬⋾$5960$∊∟⩊$1515$))","expression":"(↹⩛35130≄⊠↹⩛100352)⪥(↹⩛25010∽↹⩛14440)⪭≯((↹⩛41313≀⫉↹⩛10451)⨎⋸⪻)∖(≘(⋗⩬⋾↹⩛43332∊∟⩊↹⩛11003))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":210414,"operation_count":10,"complexity_ratio":21041.4,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5022,"base":6},"right_expr":{"type":"numeric_atoms","value":7916,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3678,"base":6},"right_expr":{"type":"numeric_atoms","value":2328,"base":6}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5517,"base":6},"right_expr":{"type":"numeric_atoms","value":1471,"base":6}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5960,"base":6},"right_expr":{"type":"numeric_atoms","value":1515,"base":6}}}}},"used_operators":["tXD093vOjl","XAx5wpdLa6","QbnwKVWMIQ","vXNesLlMH1","y4ImoPnbV5","Dk5vyLCiGd","oZj3VtZNQx","tcjXMdvYtA","DpFCA1CohY","ddLRYrp01A"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","QMFrweE19q","IWmyXbctLI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5022","layer":4},{"info":"number node, value=7916","layer":4},{"info":"compute binary expreesion, left_input=5022, right_input=7916, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=131324","layer":3},{"info":"number node, value=3678","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=3678, right_input=2328, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-25196","layer":3},{"info":"compute binary expreesion, left_input=131324, right_input=-25196, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=5517","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=5517, right_input=1471, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=5960","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=5960, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=5960","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=5960, right_input=1515, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1515","layer":3},{"info":"compute unary expreesion, input=1515, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4545","layer":2},{"info":"compute unary expreesion, input=-4545, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2672198","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2672198, 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":6,"result_base":6,"text":"(↹⩛35130≄⊠↹⩛100352)⪥(↹⩛25010∽↹⩛14440)⪭≯((↹⩛41313≀⫉↹⩛10451)⨎⋸⪻)∖(≘(⋗⩬⋾↹⩛43332∊∟⩊↹⩛11003))=↹⩛0","reverse_text":"↹⩛0=(↹⩛35130≄⊠↹⩛100352)⪥(↹⩛25010∽↹⩛14440)⪭≯((↹⩛41313≀⫉↹⩛10451)⨎⋸⪻)∖(≘(⋗⩬⋾↹⩛43332∊∟⩊↹⩛11003))","cot":[{"info":"↹⩛35130≄⊠↹⩛100352=↹⩛2451552","layer":3},{"info":"↹⩛25010∽↹⩛14440=↹⩛-312352","layer":3},{"info":"↹⩛2451552⪥↹⩛-312352=↹⩛-312","layer":2},{"info":"↹⩛41313≀⫉↹⩛10451=↹⩛21022","layer":3},{"info":"↹⩛21022⨎⋸⪻=↹⩛43332","layer":2},{"info":"↹⩛-312⪭≯↹⩛43332=NaN","layer":1},{"info":"↹⩛43332∊∟⩊↹⩛11003=↹⩛11003","layer":3},{"info":"⋗⩬⋾↹⩛11003=↹⩛-33013","layer":2},{"info":"≘↹⩛-33013=↹⩛133135142","layer":1},{"info":"NaN∖↹⩛133135142=↹⩛0","layer":0}]} +{"id":825,"expression_no_base_symbol":"≪(⨰⫟⨤($1400$⫸⇳$2241$)⊋($2206$≠≀$1345$))","expression":"≪(⨰⫟⨤(↹⩛10252⫸⇳↹⩛14213)⊋(↹⩛14114≠≀↹⩛10121))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":351332,"operation_count":5,"complexity_ratio":70266.4,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1400,"base":6},"right_expr":{"type":"numeric_atoms","value":2241,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2206,"base":6},"right_expr":{"type":"numeric_atoms","value":1345,"base":6}}}}},"used_operators":["Qtd6bqUJcN","Tw270M8GLb","W4tP9CfskL","gx7XJ7hdpj","IwW236VD4Y"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"↹⩛4121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=2241, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2206","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=1345, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4106","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4106, 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=-87574","layer":2},{"info":"compute unary expreesion, input=-87574, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":6,"result_base":6,"text":"≪(⨰⫟⨤(↹⩛10252⫸⇳↹⩛14213)⊋(↹⩛14114≠≀↹⩛10121))=↹⩛4121","reverse_text":"↹⩛4121=≪(⨰⫟⨤(↹⩛10252⫸⇳↹⩛14213)⊋(↹⩛14114≠≀↹⩛10121))","cot":[{"info":"↹⩛10252⫸⇳↹⩛14213=↹⩛0","layer":3},{"info":"↹⩛14114≠≀↹⩛10121=↹⩛-31002","layer":3},{"info":"↹⩛0⊋↹⩛-31002=↹⩛-1513234","layer":2},{"info":"⨰⫟⨤↹⩛-1513234=NaN","layer":1},{"info":"≪NaN=↹⩛4121","layer":0}]} +{"id":826,"expression_no_base_symbol":"((↪⫪⫘(⊗$1026$))⋭≵$2462$⩵∡$1710$≓∲(⊖$2545$))∙⊟($5756$+$3458$)⪟⇏($3954$∲⫓$1008$)↳∿⪆(↓⇌($3773$≀⫉$2643$))","expression":"((↪⫪⫘(⊗↹⩛4430))⋭≵↹⩛15222⩵∡↹⩛11530≓∲(⊖↹⩛15441))∙⊟(↹⩛42352+↹⩛24002)⪟⇏(↹⩛30150∲⫓↹⩛4400)↳∿⪆(↓⇌(↹⩛25245≀⫉↹⩛20123))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3104,"operation_count":13,"complexity_ratio":238.76923076923077,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1026,"base":6}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2462,"base":6},"right_expr":{"type":"numeric_atoms","value":1710,"base":6}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2545,"base":6}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5756,"base":6},"right_expr":{"type":"numeric_atoms","value":3458,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3954,"base":6},"right_expr":{"type":"numeric_atoms","value":1008,"base":6}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3773,"base":6},"right_expr":{"type":"numeric_atoms","value":2643,"base":6}}}}},"used_operators":["SxTAKzQCrw","jBncVCNhdl","9dWsAM3GFt","RhiyfpczSx","s1XTVnmDOJ","Y7wcNGrDQJ","U6pG0PXrV3","Cw4SuJJGHO","GODebY97qR","W4YGzv6Whe","i8ToyICDmI","PxpmPgHHJV","oZj3VtZNQx"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"↹⩛251311","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2052","layer":3},{"info":"compute unary expreesion, input=-2052, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=2462","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=1710, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3335","layer":3},{"info":"number node, value=2545","layer":4},{"info":"compute unary expreesion, input=2545, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3335, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=67, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-6","layer":1},{"info":"number node, value=5756","layer":4},{"info":"number node, value=3458","layer":4},{"info":"compute binary expreesion, left_input=5756, right_input=3458, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9214","layer":3},{"info":"number node, value=3954","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=1008, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9214, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=3773","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=2643, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22363","layer":0}],"base":6,"result_base":6,"text":"((↪⫪⫘(⊗↹⩛4430))⋭≵↹⩛15222⩵∡↹⩛11530≓∲(⊖↹⩛15441))∙⊟(↹⩛42352+↹⩛24002)⪟⇏(↹⩛30150∲⫓↹⩛4400)↳∿⪆(↓⇌(↹⩛25245≀⫉↹⩛20123))=↹⩛251311","reverse_text":"↹⩛251311=((↪⫪⫘(⊗↹⩛4430))⋭≵↹⩛15222⩵∡↹⩛11530≓∲(⊖↹⩛15441))∙⊟(↹⩛42352+↹⩛24002)⪟⇏(↹⩛30150∲⫓↹⩛4400)↳∿⪆(↓⇌(↹⩛25245≀⫉↹⩛20123))","cot":[{"info":"⊗↹⩛4430=↹⩛-13300","layer":3},{"info":"↪⫪⫘↹⩛-13300=↹⩛32","layer":2},{"info":"↹⩛15222⩵∡↹⩛11530=↹⩛-23235","layer":3},{"info":"⊖↹⩛15441=↹⩛0","layer":3},{"info":"↹⩛-23235≓∲↹⩛0=↹⩛151","layer":2},{"info":"↹⩛32⋭≵↹⩛151=↹⩛-10","layer":1},{"info":"↹⩛42352+↹⩛24002=↹⩛110354","layer":3},{"info":"↹⩛30150∲⫓↹⩛4400=↹⩛0","layer":3},{"info":"↹⩛110354⪟⇏↹⩛0=↹⩛0","layer":2},{"info":"↹⩛25245≀⫉↹⩛20123=↹⩛21022","layer":3},{"info":"↓⇌↹⩛21022=↹⩛21022","layer":2},{"info":"↹⩛0↳∿⪆↹⩛21022=NaN","layer":1},{"info":"↹⩛-10∙⊟NaN=↹⩛251311","layer":0}]} +{"id":827,"expression_no_base_symbol":"(((≀↧⇸$1743$)⫌⩉⩟$1483$⨭⪣$5944$)⨽∌(∐⩳⋚$1427$⪬$5057$))⊴⇁⪶","expression":"(((≀↧⇸↹⩛12023)⫌⩉⩟↹⩛10511⨭⪣↹⩛43304)⨽∌(∐⩳⋚↹⩛10335⪬↹⩛35225))⊴⇁⪶","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":46081,"operation_count":7,"complexity_ratio":6583.0,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1743,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1483,"base":6},"right_expr":{"type":"numeric_atoms","value":5944,"base":6}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1427,"base":6},"right_expr":{"type":"numeric_atoms","value":5057,"base":6}}}}},"used_operators":["oo9mF6JIpo","9samAPKr6k","XIIwhv8d0m","ljTHtUsqzn","kn8WO9XteQ","SL6IHkK8vl","Ez1Nq5fNfI"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XPYlsWDdGa","23Mk6UjR3U","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"↹⩛-55314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"compute unary expreesion, input=1743, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3486","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=5944","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=5944, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=204","layer":3},{"info":"compute binary expreesion, left_input=3486, right_input=204, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1427","layer":4},{"info":"number node, value=5057","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=5057, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=167951","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=167951, 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 = 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=-7678","layer":0}],"base":6,"result_base":6,"text":"(((≀↧⇸↹⩛12023)⫌⩉⩟↹⩛10511⨭⪣↹⩛43304)⨽∌(∐⩳⋚↹⩛10335⪬↹⩛35225))⊴⇁⪶=↹⩛-55314","reverse_text":"↹⩛-55314=(((≀↧⇸↹⩛12023)⫌⩉⩟↹⩛10511⨭⪣↹⩛43304)⨽∌(∐⩳⋚↹⩛10335⪬↹⩛35225))⊴⇁⪶","cot":[{"info":"≀↧⇸↹⩛12023=↹⩛24050","layer":3},{"info":"↹⩛10511⨭⪣↹⩛43304=↹⩛540","layer":3},{"info":"↹⩛24050⫌⩉⩟↹⩛540=↹⩛-122","layer":2},{"info":"↹⩛10335⪬↹⩛35225=↹⩛5414","layer":3},{"info":"∐⩳⋚↹⩛5414=↹⩛3333315","layer":2},{"info":"↹⩛-122⨽∌↹⩛3333315=↹⩛0","layer":1},{"info":"↹⩛0⊴⇁⪶=↹⩛-55314","layer":0}]} +{"id":828,"expression_no_base_symbol":"(((∤$6532$)⪗)⪄($3741$⨑≵⋬$1266$)≥⨤⩑$2736$⨪↰⇹$2178$)⇔⨋","expression":"(((∤↹⩛50124)⪗)⪄(↹⩛25153⨑≵⋬↹⩛5510)≥⨤⩑↹⩛20400⨪↰⇹↹⩛14030)⇔⨋","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2828,"operation_count":7,"complexity_ratio":404.0,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":6532,"base":6}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3741,"base":6},"right_expr":{"type":"numeric_atoms","value":1266,"base":6}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2736,"base":6},"right_expr":{"type":"numeric_atoms","value":2178,"base":6}}}}},"used_operators":["uBihLCJcMX","SUmda5xLS4","VEQNXA0ZBg","k2HlF1dBQh","gJLn6v0xnP","XnXgA4xnOs","tmPS8pqC7x"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rJVOvQCfKK"],"result":"↹⩛253324","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6532","layer":4},{"info":"compute unary expreesion, input=6532, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=3741","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=1266, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=11222","layer":3},{"info":"number node, value=2736","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=2178, 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=2736","layer":3},{"info":"compute binary expreesion, left_input=11222, right_input=2736, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=22804","layer":0}],"base":6,"result_base":6,"text":"(((∤↹⩛50124)⪗)⪄(↹⩛25153⨑≵⋬↹⩛5510)≥⨤⩑↹⩛20400⨪↰⇹↹⩛14030)⇔⨋=↹⩛253324","reverse_text":"↹⩛253324=(((∤↹⩛50124)⪗)⪄(↹⩛25153⨑≵⋬↹⩛5510)≥⨤⩑↹⩛20400⨪↰⇹↹⩛14030)⇔⨋","cot":[{"info":"∤↹⩛50124=↹⩛13","layer":3},{"info":"↹⩛13⪗=NaN","layer":2},{"info":"↹⩛25153⨑≵⋬↹⩛5510=↹⩛123542","layer":3},{"info":"↹⩛20400⨪↰⇹↹⩛14030=↹⩛20400","layer":3},{"info":"↹⩛123542≥⨤⩑↹⩛20400=↹⩛5414","layer":2},{"info":"NaN⪄↹⩛5414=↹⩛30231","layer":1},{"info":"↹⩛30231⇔⨋=↹⩛253324","layer":0}]} +{"id":829,"expression_no_base_symbol":"(((⇐$1159$)≳⇉$3192$⫞⩸⩒$2052$)⪘⫢(($2736$⪉⨛$2350$)⇴∐($1904$≳⇉$1088$)))∇⊂⋱(($1709$⩖⊿$2718$⪣⫩)⪕($6710$⩣⫁∢$3591$⊠≄⫣))","expression":"(((⇐↹⩛5211)≳⇉↹⩛22440⫞⩸⩒↹⩛13300)⪘⫢((↹⩛20400⪉⨛↹⩛14514)⇴∐(↹⩛12452≳⇉↹⩛5012)))∇⊂⋱((↹⩛11525⩖⊿↹⩛20330⪣⫩)⪕(↹⩛51022⩣⫁∢↹⩛24343⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":70438308,"operation_count":13,"complexity_ratio":5418331.384615385,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1159,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3192,"base":6},"right_expr":{"type":"numeric_atoms","value":2052,"base":6}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2736,"base":6},"right_expr":{"type":"numeric_atoms","value":2350,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1904,"base":6},"right_expr":{"type":"numeric_atoms","value":1088,"base":6}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1709,"base":6},"right_expr":{"type":"numeric_atoms","value":2718,"base":6}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6710,"base":6},"right_expr":{"type":"numeric_atoms","value":3591,"base":6}}}}},"used_operators":["nhYeJWJD5X","oacrs7FA3X","V0kx6qeWkN","nmZMaaE0Q9","XGcMNugi78","HnzytWxmAO","EWw2JM7wp4","umQnsF7QlU","iuk5sVOGFA","RZ5CV9rWsJ","DIvbN7qnHd","JDUIKTTSIa"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":4},{"info":"compute unary expreesion, input=1159, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2484","layer":3},{"info":"number node, value=3192","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=2052, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2052","layer":3},{"info":"compute binary expreesion, left_input=2484, right_input=2052, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2736","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=2350, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6073","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1088, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6073, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1709","layer":4},{"info":"number node, value=2718","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=2718, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=14826","layer":3},{"info":"compute unary expreesion, input=14826, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=44445","layer":2},{"info":"number node, value=6710","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=6710, right_input=3591, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13259","layer":3},{"info":"compute unary expreesion, input=-13259, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=44445, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=89791","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=89791, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((⇐↹⩛5211)≳⇉↹⩛22440⫞⩸⩒↹⩛13300)⪘⫢((↹⩛20400⪉⨛↹⩛14514)⇴∐(↹⩛12452≳⇉↹⩛5012)))∇⊂⋱((↹⩛11525⩖⊿↹⩛20330⪣⫩)⪕(↹⩛51022⩣⫁∢↹⩛24343⊠≄⫣))=NaN","reverse_text":"NaN=(((⇐↹⩛5211)≳⇉↹⩛22440⫞⩸⩒↹⩛13300)⪘⫢((↹⩛20400⪉⨛↹⩛14514)⇴∐(↹⩛12452≳⇉↹⩛5012)))∇⊂⋱((↹⩛11525⩖⊿↹⩛20330⪣⫩)⪕(↹⩛51022⩣⫁∢↹⩛24343⊠≄⫣))","cot":[{"info":"⇐↹⩛5211=↹⩛15300","layer":3},{"info":"↹⩛22440⫞⩸⩒↹⩛13300=↹⩛13300","layer":3},{"info":"↹⩛15300≳⇉↹⩛13300=NaN","layer":2},{"info":"↹⩛20400⪉⨛↹⩛14514=↹⩛44041","layer":3},{"info":"↹⩛12452≳⇉↹⩛5012=NaN","layer":3},{"info":"↹⩛44041⇴∐NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"↹⩛11525⩖⊿↹⩛20330=↹⩛152350","layer":3},{"info":"↹⩛152350⪣⫩=↹⩛541433","layer":2},{"info":"↹⩛51022⩣⫁∢↹⩛24343=↹⩛-141215","layer":3},{"info":"↹⩛-141215⊠≄⫣=↹⩛0","layer":2},{"info":"↹⩛541433⪕↹⩛0=↹⩛1531411","layer":1},{"info":"NaN∇⊂⋱↹⩛1531411=NaN","layer":0}]} +{"id":830,"expression_no_base_symbol":"(($3802$⊍)∓⋝($6701$∧)⩏)⨿(((⩎⋉$5045$)≄⊠($1083$∕⩚$3353$))⨚($5012$⫯⪬∳$6205$⪭≯($5496$⇪⋭)))","expression":"((↹⩛25334⊍)∓⋝(↹⩛51005∧)⩏)⨿(((⩎⋉↹⩛35205)≄⊠(↹⩛5003∕⩚↹⩛23305))⨚(↹⩛35112⫯⪬∳↹⩛44421⪭≯(↹⩛41240⇪⋭)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2322,"operation_count":12,"complexity_ratio":193.5,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":3802,"base":6}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6701,"base":6}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":5045,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1083,"base":6},"right_expr":{"type":"numeric_atoms","value":3353,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":5012,"base":6},"right_expr":{"type":"numeric_atoms","value":6205,"base":6}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":5496,"base":6}}}}},"used_operators":["abYXlopdE0","iA2gmKZ3Wj","PoHhknlbAi","3nqY3DE9mg","z63VuFQld9","nREPSIbpBE","vXNesLlMH1","FlXk3pOYe8","z9ffQ9n5Zr","XAx5wpdLa6","d7ASUq0ydm","Z8Yg6dlDSp"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","z6LnFrNh4i","Tcnh7f0tEr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","BjRHVeLaeN","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"↹⩛321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3802","layer":4},{"info":"compute unary expreesion, input=3802, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=9726","layer":3},{"info":"number node, value=6701","layer":4},{"info":"compute unary expreesion, input=6701, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9726, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"number node, value=5045","layer":4},{"info":"compute unary expreesion, input=5045, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=3353, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1086","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-1086, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=5012","layer":4},{"info":"number node, value=6205","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=6205, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18888","layer":3},{"info":"number node, value=5496","layer":4},{"info":"compute unary expreesion, input=5496, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18888, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":6,"result_base":6,"text":"((↹⩛25334⊍)∓⋝(↹⩛51005∧)⩏)⨿(((⩎⋉↹⩛35205)≄⊠(↹⩛5003∕⩚↹⩛23305))⨚(↹⩛35112⫯⪬∳↹⩛44421⪭≯(↹⩛41240⇪⋭)))=↹⩛321","reverse_text":"↹⩛321=((↹⩛25334⊍)∓⋝(↹⩛51005∧)⩏)⨿(((⩎⋉↹⩛35205)≄⊠(↹⩛5003∕⩚↹⩛23305))⨚(↹⩛35112⫯⪬∳↹⩛44421⪭≯(↹⩛41240⇪⋭)))","cot":[{"info":"↹⩛25334⊍=↹⩛113010","layer":3},{"info":"↹⩛51005∧=NaN","layer":3},{"info":"↹⩛113010∓⋝NaN=↹⩛151","layer":2},{"info":"↹⩛151⩏=↹⩛0","layer":1},{"info":"⩎⋉↹⩛35205=↹⩛11350","layer":3},{"info":"↹⩛5003∕⩚↹⩛23305=↹⩛-5010","layer":3},{"info":"↹⩛11350≄⊠↹⩛-5010=↹⩛10540","layer":2},{"info":"↹⩛35112⫯⪬∳↹⩛44421=↹⩛223240","layer":3},{"info":"↹⩛41240⇪⋭=NaN","layer":3},{"info":"↹⩛223240⪭≯NaN=NaN","layer":2},{"info":"↹⩛10540⨚NaN=NaN","layer":1},{"info":"↹⩛0⨿NaN=↹⩛321","layer":0}]} +{"id":831,"expression_no_base_symbol":"((($3621$⨵⪆$1408$)≬⋮$1713$∘$1251$)⊬⨰($9147$↬$5212$)∊∟⩊($2395$≀⫉$1239$))⨑⩅≇(($2853$⪭$1851$)⋕⪉⪜($2750$⪇≇⋚$3121$)⪃↞⩐)","expression":"(((↹⩛24433⨵⪆↹⩛10304)≬⋮↹⩛11533∘↹⩛5443)⊬⨰(↹⩛110203↬↹⩛40044)∊∟⩊(↹⩛15031≀⫉↹⩛5423))⨑⩅≇((↹⩛21113⪭↹⩛12323)⋕⪉⪜(↹⩛20422⪇≇⋚↹⩛22241)⪃↞⩐)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18120,"operation_count":12,"complexity_ratio":1510.0,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3621,"base":6},"right_expr":{"type":"numeric_atoms","value":1408,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1713,"base":6},"right_expr":{"type":"numeric_atoms","value":1251,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":9147,"base":6},"right_expr":{"type":"numeric_atoms","value":5212,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2395,"base":6},"right_expr":{"type":"numeric_atoms","value":1239,"base":6}}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2853,"base":6},"right_expr":{"type":"numeric_atoms","value":1851,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2750,"base":6},"right_expr":{"type":"numeric_atoms","value":3121,"base":6}}}}},"used_operators":["h92wMvzauj","s3Fd5m9Dh2","kbkesczE7y","2DQ55sFlQl","Z5m6OM72h2","ddLRYrp01A","B5M0gjZbta","oZj3VtZNQx","grXIztHqDa","z6LnFrNh4i","j9kHMeSvPp","3sJ7IOPOlU"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rGHVDoGpnC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛-414100","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3621","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=1408, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1713","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=1251, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3426","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3426, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=9147","layer":4},{"info":"number node, value=5212","layer":4},{"info":"compute binary expreesion, left_input=9147, right_input=5212, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2395","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=1239, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=2822, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11100","layer":1},{"info":"number node, value=2853","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=1851, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=3121, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute unary expreesion, input=2802, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=17118","layer":1},{"info":"compute binary expreesion, left_input=11100, right_input=17118, 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=-33300","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛24433⨵⪆↹⩛10304)≬⋮↹⩛11533∘↹⩛5443)⊬⨰(↹⩛110203↬↹⩛40044)∊∟⩊(↹⩛15031≀⫉↹⩛5423))⨑⩅≇((↹⩛21113⪭↹⩛12323)⋕⪉⪜(↹⩛20422⪇≇⋚↹⩛22241)⪃↞⩐)=↹⩛-414100","reverse_text":"↹⩛-414100=(((↹⩛24433⨵⪆↹⩛10304)≬⋮↹⩛11533∘↹⩛5443)⊬⨰(↹⩛110203↬↹⩛40044)∊∟⩊(↹⩛15031≀⫉↹⩛5423))⨑⩅≇((↹⩛21113⪭↹⩛12323)⋕⪉⪜(↹⩛20422⪇≇⋚↹⩛22241)⪃↞⩐)","cot":[{"info":"↹⩛24433⨵⪆↹⩛10304=↹⩛424","layer":3},{"info":"↹⩛11533∘↹⩛5443=↹⩛23510","layer":3},{"info":"↹⩛424≬⋮↹⩛23510=↹⩛4004","layer":2},{"info":"↹⩛110203↬↹⩛40044=NaN","layer":3},{"info":"↹⩛15031≀⫉↹⩛5423=↹⩛21022","layer":3},{"info":"NaN∊∟⩊↹⩛21022=↹⩛21022","layer":2},{"info":"↹⩛4004⊬⨰↹⩛21022=↹⩛123220","layer":1},{"info":"↹⩛21113⪭↹⩛12323=↹⩛5","layer":3},{"info":"↹⩛20422⪇≇⋚↹⩛22241=↹⩛0","layer":3},{"info":"↹⩛5⋕⪉⪜↹⩛0=↹⩛20550","layer":2},{"info":"↹⩛20550⪃↞⩐=↹⩛211130","layer":1},{"info":"↹⩛123220⨑⩅≇↹⩛211130=↹⩛-414100","layer":0}]} +{"id":832,"expression_no_base_symbol":"(⪝⪂⫅(∓(≱⇩⩕$2166$)))⨿($3322$⨿$1671$∛(⫓⪴$2089$)⪉⨛($1195$≥⨤⩑$3952$)⩍⋽⫝̸(⪡⇡≛$6183$))","expression":"(⪝⪂⫅(∓(≱⇩⩕↹⩛14010)))⨿(↹⩛23214⨿↹⩛11423∛(⫓⪴↹⩛13401)⪉⨛(↹⩛5311≥⨤⩑↹⩛30144)⩍⋽⫝̸(⪡⇡≛↹⩛44343))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2889,"operation_count":11,"complexity_ratio":262.6363636363636,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2166,"base":6}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3322,"base":6},"right_expr":{"type":"numeric_atoms","value":1671,"base":6}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2089,"base":6}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1195,"base":6},"right_expr":{"type":"numeric_atoms","value":3952,"base":6}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":6183,"base":6}}}}},"used_operators":["abYXlopdE0","XTarYq4gQB","OwUj7dcsQK","3DZMoQKiUl","EWw2JM7wp4","w2537kitQq","eLxqMNBOBk","BiWNJpBvwn","gJLn6v0xnP","qL4PrbW1Dq"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9HNa5Wba9A","8w2t5hMYqp","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9HNa5Wba9A","Ph9nP6C5qx","xUOZtlo3hN","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"↹⩛-1251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-6567","layer":2},{"info":"compute unary expreesion, input=-6567, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=965349","layer":1},{"info":"number node, value=3322","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1671, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2089","layer":4},{"info":"compute unary expreesion, input=2089, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4363921","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=4363921, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"number node, value=1195","layer":4},{"info":"number node, value=3952","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=3952, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6183","layer":4},{"info":"compute unary expreesion, input=6183, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-6183","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-6183, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6944","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=6944, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-22645","layer":1},{"info":"compute binary expreesion, left_input=965349, right_input=-22645, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅(∓(≱⇩⩕↹⩛14010)))⨿(↹⩛23214⨿↹⩛11423∛(⫓⪴↹⩛13401)⪉⨛(↹⩛5311≥⨤⩑↹⩛30144)⩍⋽⫝̸(⪡⇡≛↹⩛44343))=↹⩛-1251","reverse_text":"↹⩛-1251=(⪝⪂⫅(∓(≱⇩⩕↹⩛14010)))⨿(↹⩛23214⨿↹⩛11423∛(⫓⪴↹⩛13401)⪉⨛(↹⩛5311≥⨤⩑↹⩛30144)⩍⋽⫝̸(⪡⇡≛↹⩛44343))","cot":[{"info":"≱⇩⩕↹⩛14010=↹⩛305","layer":3},{"info":"∓↹⩛305=↹⩛-50223","layer":2},{"info":"⪝⪂⫅↹⩛-50223=↹⩛32405113","layer":1},{"info":"↹⩛23214⨿↹⩛11423=↹⩛-1251","layer":3},{"info":"⫓⪴↹⩛13401=↹⩛233311201","layer":3},{"info":"↹⩛-1251∛↹⩛233311201=↹⩛-3044","layer":2},{"info":"↹⩛5311≥⨤⩑↹⩛30144=↹⩛5414","layer":3},{"info":"⪡⇡≛↹⩛44343=↹⩛-44343","layer":3},{"info":"↹⩛5414⩍⋽⫝̸↹⩛-44343=↹⩛52052","layer":2},{"info":"↹⩛-3044⪉⨛↹⩛52052=↹⩛-252501","layer":1},{"info":"↹⩛32405113⨿↹⩛-252501=↹⩛-1251","layer":0}]} +{"id":833,"expression_no_base_symbol":"(($2462$⨿$3406$⊊)⋹⋡⊁(∂⩏⊆($1084$∀⋜↑)))⊕∕(($7427$⇣⩺⋵$3042$⨑≵⋬$1675$⪔$3063$)⫸⇳(($1111$⫣⪄⊒$2878$)⨎⋸⪻))","expression":"((↹⩛15222⨿↹⩛23434⊊)⋹⋡⊁(∂⩏⊆(↹⩛5004∀⋜↑)))⊕∕((↹⩛54215⇣⩺⋵↹⩛22030⨑≵⋬↹⩛11431⪔↹⩛22103)⫸⇳((↹⩛5051⫣⪄⊒↹⩛21154)⨎⋸⪻))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":66307,"operation_count":12,"complexity_ratio":5525.583333333333,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2462,"base":6},"right_expr":{"type":"numeric_atoms","value":3406,"base":6}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1084,"base":6}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":7427,"base":6},"right_expr":{"type":"numeric_atoms","value":3042,"base":6}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1675,"base":6},"right_expr":{"type":"numeric_atoms","value":3063,"base":6}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1111,"base":6},"right_expr":{"type":"numeric_atoms","value":2878,"base":6}}}}},"used_operators":["9cloC0Ngie","As8RqfVLgs","W9R8I5fN5A","abYXlopdE0","8WDwsbhb0R","KipPnG1M2J","gx7XJ7hdpj","XnXgA4xnOs","F4yD0voBRQ","GjBEYRfMaF","Dk5vyLCiGd","RabNbG55vr"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","IWmyXbctLI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"↹⩛11542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2462","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=3406, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"number node, value=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute unary expreesion, input=-484, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=90927, right_input=968, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1718","layer":1},{"info":"number node, value=7427","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=7427, right_input=3042, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1675","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=3063, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=450, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-3071","layer":2},{"info":"number node, value=1111","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2878, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-15558","layer":3},{"info":"compute unary expreesion, input=-15558, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-30800","layer":2},{"info":"compute binary expreesion, left_input=-3071, right_input=-30800, 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=1718, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1718","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15222⨿↹⩛23434⊊)⋹⋡⊁(∂⩏⊆(↹⩛5004∀⋜↑)))⊕∕((↹⩛54215⇣⩺⋵↹⩛22030⨑≵⋬↹⩛11431⪔↹⩛22103)⫸⇳((↹⩛5051⫣⪄⊒↹⩛21154)⨎⋸⪻))=↹⩛11542","reverse_text":"↹⩛11542=((↹⩛15222⨿↹⩛23434⊊)⋹⋡⊁(∂⩏⊆(↹⩛5004∀⋜↑)))⊕∕((↹⩛54215⇣⩺⋵↹⩛22030⨑≵⋬↹⩛11431⪔↹⩛22103)⫸⇳((↹⩛5051⫣⪄⊒↹⩛21154)⨎⋸⪻))","cot":[{"info":"↹⩛15222⨿↹⩛23434=↹⩛-1251","layer":3},{"info":"↹⩛-1251⊊=↹⩛1540543","layer":2},{"info":"↹⩛5004∀⋜↑=↹⩛-2124","layer":3},{"info":"∂⩏⊆↹⩛-2124=↹⩛4252","layer":2},{"info":"↹⩛1540543⋹⋡⊁↹⩛4252=↹⩛11542","layer":1},{"info":"↹⩛54215⇣⩺⋵↹⩛22030=↹⩛-1112","layer":3},{"info":"↹⩛11431⪔↹⩛22103=↹⩛2030","layer":3},{"info":"↹⩛-1112⨑≵⋬↹⩛2030=↹⩛-22115","layer":2},{"info":"↹⩛5051⫣⪄⊒↹⩛21154=↹⩛-200010","layer":3},{"info":"↹⩛-200010⨎⋸⪻=↹⩛-354332","layer":2},{"info":"↹⩛-22115⫸⇳↹⩛-354332=↹⩛0","layer":1},{"info":"↹⩛11542⊕∕↹⩛0=↹⩛11542","layer":0}]} +{"id":834,"expression_no_base_symbol":"(($3343$∖$4581$)≬⇓$4960$≨$1979$⨒$1865$∳⫺$8638$⪨⊡($2834$⨔≚≋$2578$))⪨⊡(⇈($4224$∋$1378$))≨($1241$⫯⪬∳$5646$→⨶⪴($4791$⫸⇳$1024$))","expression":"((↹⩛23251∖↹⩛33113)≬⇓↹⩛34544≨↹⩛13055⨒↹⩛12345∳⫺↹⩛103554⪨⊡(↹⩛21042⨔≚≋↹⩛15534))⪨⊡(⇈(↹⩛31320∋↹⩛10214))≨(↹⩛5425⫯⪬∳↹⩛42050→⨶⪴(↹⩛34103⫸⇳↹⩛4424))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5318,"operation_count":14,"complexity_ratio":379.85714285714283,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3343,"base":6},"right_expr":{"type":"numeric_atoms","value":4581,"base":6}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4960,"base":6},"right_expr":{"type":"numeric_atoms","value":1979,"base":6}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1865,"base":6},"right_expr":{"type":"numeric_atoms","value":8638,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2834,"base":6},"right_expr":{"type":"numeric_atoms","value":2578,"base":6}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4224,"base":6},"right_expr":{"type":"numeric_atoms","value":1378,"base":6}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1241,"base":6},"right_expr":{"type":"numeric_atoms","value":5646,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4791,"base":6},"right_expr":{"type":"numeric_atoms","value":1024,"base":6}}}}},"used_operators":["kuIXHzHcAH","y75s1iXyHd","jWTQ2TZYIH","tXD093vOjl","0KMCeP1Jsh","AzXXKTstlj","Z57zeUYC9z","SLLxy00UIr","ukq6epAj5P","bF6eod5Gvf","d7ASUq0ydm","gx7XJ7hdpj"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3343","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=4581, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=4960","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=1979, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-47124","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-47124, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"number node, value=1865","layer":4},{"info":"number node, value=8638","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=8638, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9754","layer":3},{"info":"number node, value=2834","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=2578, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-9754, right_input=9872, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=4224","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=1378, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3021192","layer":3},{"info":"compute unary expreesion, input=3021192, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=5646","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=5646, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=592","layer":3},{"info":"number node, value=4791","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=1024, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=592, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=1152","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=1152, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1550","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1550, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛23251∖↹⩛33113)≬⇓↹⩛34544≨↹⩛13055⨒↹⩛12345∳⫺↹⩛103554⪨⊡(↹⩛21042⨔≚≋↹⩛15534))⪨⊡(⇈(↹⩛31320∋↹⩛10214))≨(↹⩛5425⫯⪬∳↹⩛42050→⨶⪴(↹⩛34103⫸⇳↹⩛4424))=↹⩛0","reverse_text":"↹⩛0=((↹⩛23251∖↹⩛33113)≬⇓↹⩛34544≨↹⩛13055⨒↹⩛12345∳⫺↹⩛103554⪨⊡(↹⩛21042⨔≚≋↹⩛15534))⪨⊡(⇈(↹⩛31320∋↹⩛10214))≨(↹⩛5425⫯⪬∳↹⩛42050→⨶⪴(↹⩛34103⫸⇳↹⩛4424))","cot":[{"info":"↹⩛23251∖↹⩛33113=↹⩛0","layer":3},{"info":"↹⩛34544≨↹⩛13055=↹⩛-1002100","layer":3},{"info":"↹⩛0≬⇓↹⩛-1002100=↹⩛0","layer":2},{"info":"↹⩛12345∳⫺↹⩛103554=↹⩛-113054","layer":3},{"info":"↹⩛21042⨔≚≋↹⩛15534=↹⩛113412","layer":3},{"info":"↹⩛-113054⪨⊡↹⩛113412=↹⩛0","layer":2},{"info":"↹⩛0⨒↹⩛0=↹⩛0","layer":1},{"info":"↹⩛31320∋↹⩛10214=↹⩛144431000","layer":3},{"info":"⇈↹⩛144431000=↹⩛-2023","layer":2},{"info":"↹⩛5425⫯⪬∳↹⩛42050=↹⩛2424","layer":3},{"info":"↹⩛34103⫸⇳↹⩛4424=↹⩛0","layer":3},{"info":"↹⩛2424→⨶⪴↹⩛0=↹⩛5200","layer":2},{"info":"↹⩛-2023≨↹⩛5200=↹⩛11102","layer":1},{"info":"↹⩛0⪨⊡↹⩛11102=↹⩛0","layer":0}]} +{"id":835,"expression_no_base_symbol":"((⇠$1108$)⨪↰⇹($1397$⇯⋐)∕⩚(⋎⨆$3222$⇡⇂$1501$))⩵∡((⇙⪊$6876$⋕⪉⪜$2938$)⇮⋭($5538$⋻⩜⩜$1728$)⨂≜($3036$⨚$1358$))","expression":"((⇠↹⩛5044)⨪↰⇹(↹⩛10245⇯⋐)∕⩚(⋎⨆↹⩛22530⇡⇂↹⩛10541))⩵∡((⇙⪊↹⩛51500⋕⪉⪜↹⩛21334)⇮⋭(↹⩛41350⋻⩜⩜↹⩛12000)⨂≜(↹⩛22020⨚↹⩛10142))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":45765,"operation_count":13,"complexity_ratio":3520.3846153846152,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1108,"base":6}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1397,"base":6}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3222,"base":6},"right_expr":{"type":"numeric_atoms","value":1501,"base":6}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6876,"base":6},"right_expr":{"type":"numeric_atoms","value":2938,"base":6}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5538,"base":6},"right_expr":{"type":"numeric_atoms","value":1728,"base":6}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3036,"base":6},"right_expr":{"type":"numeric_atoms","value":1358,"base":6}}}}},"used_operators":["Y7wcNGrDQJ","z9ffQ9n5Zr","tmPS8pqC7x","18saOjeKKm","LkLIoiE525","E64sFOc4tB","UMwdvZNt44","vkpjKywKVM","pB6Fcnrjim","z6LnFrNh4i","k1SHOSEABc","oDCm7WA9JY","nREPSIbpBE"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","BjRHVeLaeN","12rbrZMWeM"],"result":"↹⩛-12124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-866","layer":3},{"info":"number node, value=1397","layer":4},{"info":"compute unary expreesion, input=1397, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=5069","layer":3},{"info":"compute binary expreesion, left_input=-866, right_input=5069, 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=-866","layer":2},{"info":"number node, value=3222","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=1501, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-866, right_input=8320752, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=863","layer":1},{"info":"number node, value=6876","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=6876, right_input=2938, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=5538","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=1728, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11076","layer":3},{"info":"number node, value=3036","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=1358, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1574","layer":3},{"info":"compute binary expreesion, left_input=11076, right_input=1574, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=863, right_input=67, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1780","layer":0}],"base":6,"result_base":6,"text":"((⇠↹⩛5044)⨪↰⇹(↹⩛10245⇯⋐)∕⩚(⋎⨆↹⩛22530⇡⇂↹⩛10541))⩵∡((⇙⪊↹⩛51500⋕⪉⪜↹⩛21334)⇮⋭(↹⩛41350⋻⩜⩜↹⩛12000)⨂≜(↹⩛22020⨚↹⩛10142))=↹⩛-12124","reverse_text":"↹⩛-12124=((⇠↹⩛5044)⨪↰⇹(↹⩛10245⇯⋐)∕⩚(⋎⨆↹⩛22530⇡⇂↹⩛10541))⩵∡((⇙⪊↹⩛51500⋕⪉⪜↹⩛21334)⇮⋭(↹⩛41350⋻⩜⩜↹⩛12000)⨂≜(↹⩛22020⨚↹⩛10142))","cot":[{"info":"⇠↹⩛5044=↹⩛-4002","layer":3},{"info":"↹⩛10245⇯⋐=↹⩛35245","layer":3},{"info":"↹⩛-4002⨪↰⇹↹⩛35245=↹⩛-4002","layer":2},{"info":"↹⩛22530⇡⇂↹⩛10541=NaN","layer":3},{"info":"⋎⨆NaN=↹⩛454202000","layer":2},{"info":"↹⩛-4002∕⩚↹⩛454202000=↹⩛3555","layer":1},{"info":"↹⩛51500⋕⪉⪜↹⩛21334=↹⩛20550","layer":3},{"info":"⇙⪊↹⩛20550=↹⩛0","layer":2},{"info":"↹⩛41350⋻⩜⩜↹⩛12000=↹⩛123140","layer":3},{"info":"↹⩛22020⨚↹⩛10142=↹⩛11142","layer":3},{"info":"↹⩛123140⨂≜↹⩛11142=NaN","layer":2},{"info":"↹⩛0⇮⋭NaN=↹⩛151","layer":1},{"info":"↹⩛3555⩵∡↹⩛151=↹⩛-12124","layer":0}]} +{"id":836,"expression_no_base_symbol":"(≅≯⇸($1062$⪗)⋥≓≎$3941$⊢$4190$)↹⊜(↡($1912$⨑⩅≇$4444$∑⇟⊟$6355$≀⫉$3041$))","expression":"(≅≯⇸(↹⩛4530⪗)⋥≓≎↹⩛30125⊢↹⩛31222)↹⊜(↡(↹⩛12504⨑⩅≇↹⩛32324∑⇟⊟↹⩛45231≀⫉↹⩛22025))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5803,"operation_count":9,"complexity_ratio":644.7777777777778,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1062,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3941,"base":6},"right_expr":{"type":"numeric_atoms","value":4190,"base":6}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1912,"base":6},"right_expr":{"type":"numeric_atoms","value":4444,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6355,"base":6},"right_expr":{"type":"numeric_atoms","value":3041,"base":6}}}}},"used_operators":["9bazX3JMtO","apS25hmuAe","Qy55tPpLXF","VEQNXA0ZBg","5twsqlHp2o","MXaNJeIAZ3","U7g4x0WXJJ","h92wMvzauj","oZj3VtZNQx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3941","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=3941, right_input=4190, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8126","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8126, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7945","layer":1},{"info":"number node, value=1912","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=4444, 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=-5736","layer":3},{"info":"number node, value=6355","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=6355, right_input=3041, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-5736, right_input=2822, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7945, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≅≯⇸(↹⩛4530⪗)⋥≓≎↹⩛30125⊢↹⩛31222)↹⊜(↡(↹⩛12504⨑⩅≇↹⩛32324∑⇟⊟↹⩛45231≀⫉↹⩛22025))=NaN","reverse_text":"NaN=(≅≯⇸(↹⩛4530⪗)⋥≓≎↹⩛30125⊢↹⩛31222)↹⊜(↡(↹⩛12504⨑⩅≇↹⩛32324∑⇟⊟↹⩛45231≀⫉↹⩛22025))","cot":[{"info":"↹⩛4530⪗=NaN","layer":3},{"info":"↹⩛30125⊢↹⩛31222=↹⩛-101342","layer":3},{"info":"NaN⋥≓≎↹⩛-101342=↹⩛151","layer":2},{"info":"≅≯⇸↹⩛151=↹⩛100441","layer":1},{"info":"↹⩛12504⨑⩅≇↹⩛32324=↹⩛-42320","layer":3},{"info":"↹⩛45231≀⫉↹⩛22025=↹⩛21022","layer":3},{"info":"↹⩛-42320∑⇟⊟↹⩛21022=NaN","layer":2},{"info":"↡NaN=NaN","layer":1},{"info":"↹⩛100441↹⊜NaN=NaN","layer":0}]} +{"id":837,"expression_no_base_symbol":"($1111$⋥⋵⩄$5498$⪢($3923$⪁$1909$))⨑⩅≇((⊿$1194$)⫲≸⪮$2733$⊱⇼⊻$1576$)⩚⊴⇥((≉$2520$)≓∲(-$1138$)+($1031$⇉⇉)⨽∌(⪨⨬$1015$))","expression":"(↹⩛5051⋥⋵⩄↹⩛41242⪢(↹⩛30055⪁↹⩛12501))⨑⩅≇((⊿↹⩛5310)⫲≸⪮↹⩛20353⊱⇼⊻↹⩛11144)⩚⊴⇥((≉↹⩛15400)≓∲(-↹⩛5134)+(↹⩛4435⇉⇉)⨽∌(⪨⨬↹⩛4411))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":61642282,"operation_count":15,"complexity_ratio":4109485.466666667,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1111,"base":6},"right_expr":{"type":"numeric_atoms","value":5498,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3923,"base":6},"right_expr":{"type":"numeric_atoms","value":1909,"base":6}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1194,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2733,"base":6},"right_expr":{"type":"numeric_atoms","value":1576,"base":6}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2520,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1138,"base":6}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1031,"base":6}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1015,"base":6}}}}},"used_operators":["NTOWxs364D","h92wMvzauj","dWAJyo7jo9","7t3wd0Fuz7","I7sXao9hZE","P3lXMJvFrc","DO4fhlbJSI","FyVja0WsTP","W4YGzv6Whe","s1XTVnmDOJ","e1ybzncUwg","t8gj7n24qd","9samAPKr6k","diKm42VcIt","5obUd6DV38"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","T2fj7uvVaJ","nlCqmYiOvY"],"result":"↹⩛2334212","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=5498","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=5498, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3923","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=1909, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5514","layer":3},{"info":"number node, value=2733","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=1576, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-5514, right_input=434, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-5514","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5514, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"number node, value=2520","layer":4},{"info":"compute unary expreesion, input=2520, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3051","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1138","layer":3},{"info":"compute binary expreesion, left_input=3051, right_input=-1138, 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=-122528","layer":2},{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-55364","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=-55364, right_input=-526, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-122528, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-122528","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=-122528, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=121472","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5051⋥⋵⩄↹⩛41242⪢(↹⩛30055⪁↹⩛12501))⨑⩅≇((⊿↹⩛5310)⫲≸⪮↹⩛20353⊱⇼⊻↹⩛11144)⩚⊴⇥((≉↹⩛15400)≓∲(-↹⩛5134)+(↹⩛4435⇉⇉)⨽∌(⪨⨬↹⩛4411))=↹⩛2334212","reverse_text":"↹⩛2334212=(↹⩛5051⋥⋵⩄↹⩛41242⪢(↹⩛30055⪁↹⩛12501))⨑⩅≇((⊿↹⩛5310)⫲≸⪮↹⩛20353⊱⇼⊻↹⩛11144)⩚⊴⇥((≉↹⩛15400)≓∲(-↹⩛5134)+(↹⩛4435⇉⇉)⨽∌(⪨⨬↹⩛4411))","cot":[{"info":"↹⩛5051⋥⋵⩄↹⩛41242=↹⩛305","layer":3},{"info":"↹⩛30055⪁↹⩛12501=NaN","layer":3},{"info":"↹⩛305⪢NaN=NaN","layer":2},{"info":"⊿↹⩛5310=↹⩛-41310","layer":3},{"info":"↹⩛20353⊱⇼⊻↹⩛11144=↹⩛2002","layer":3},{"info":"↹⩛-41310⫲≸⪮↹⩛2002=↹⩛-41310","layer":2},{"info":"NaN⨑⩅≇↹⩛-41310=↹⩛4155","layer":1},{"info":"≉↹⩛15400=↹⩛22043","layer":3},{"info":"-↹⩛5134=↹⩛-5134","layer":3},{"info":"↹⩛22043≓∲↹⩛-5134=↹⩛-2343132","layer":2},{"info":"↹⩛4435⇉⇉=↹⩛-1104152","layer":3},{"info":"⪨⨬↹⩛4411=↹⩛-2234","layer":3},{"info":"↹⩛-1104152⨽∌↹⩛-2234=↹⩛0","layer":2},{"info":"↹⩛-2343132+↹⩛0=↹⩛-2343132","layer":1},{"info":"↹⩛4155⩚⊴⇥↹⩛-2343132=↹⩛2334212","layer":0}]} +{"id":838,"expression_no_base_symbol":"($3891$⪟⇏$1371$+⪬∐(∤$1119$)⩚⊴⇥((⊥$7558$)⋩≍≻))∴(($2425$∺≝⩲$5496$⩠)⋣⋖(⋎⨆$4073$⫔⩽⩺$4699$))","expression":"(↹⩛30003⪟⇏↹⩛10203+⪬∐(∤↹⩛5103)⩚⊴⇥((⊥↹⩛54554)⋩≍≻))∴((↹⩛15121∺≝⩲↹⩛41240⩠)⋣⋖(⋎⨆↹⩛30505⫔⩽⩺↹⩛33431))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":367,"operation_count":12,"complexity_ratio":30.583333333333332,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3891,"base":6},"right_expr":{"type":"numeric_atoms","value":1371,"base":6}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1119,"base":6}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7558,"base":6}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2425,"base":6},"right_expr":{"type":"numeric_atoms","value":5496,"base":6}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4073,"base":6},"right_expr":{"type":"numeric_atoms","value":4699,"base":6}}}}},"used_operators":["hrf7POJlIJ","NTOWxs364D","2GS7woTJqF","GODebY97qR","k2HlF1dBQh","WYd1w68Nbz","Q3PJZHRvZv","J0M6qkBnIM","sJAwomhLZr","KPf6cnQVty","E64sFOc4tB","i9eR4S00cU"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","fu6greOZ01","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3891","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=1371, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=9, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=3","layer":2},{"info":"number node, value=7558","layer":4},{"info":"compute unary expreesion, input=7558, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2425","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=2425, right_input=5496, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-431","layer":2},{"info":"number node, value=4073","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=4073, right_input=4699, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-431, right_input=8320752, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-431","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-431, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30003⪟⇏↹⩛10203+⪬∐(∤↹⩛5103)⩚⊴⇥((⊥↹⩛54554)⋩≍≻))∴((↹⩛15121∺≝⩲↹⩛41240⩠)⋣⋖(⋎⨆↹⩛30505⫔⩽⩺↹⩛33431))=NaN","reverse_text":"NaN=(↹⩛30003⪟⇏↹⩛10203+⪬∐(∤↹⩛5103)⩚⊴⇥((⊥↹⩛54554)⋩≍≻))∴((↹⩛15121∺≝⩲↹⩛41240⩠)⋣⋖(⋎⨆↹⩛30505⫔⩽⩺↹⩛33431))","cot":[{"info":"↹⩛30003⪟⇏↹⩛10203=↹⩛-1","layer":3},{"info":"∤↹⩛5103=↹⩛13","layer":3},{"info":"↹⩛-1+⪬∐↹⩛13=↹⩛3","layer":2},{"info":"⊥↹⩛54554=NaN","layer":3},{"info":"NaN⋩≍≻=NaN","layer":2},{"info":"↹⩛3⩚⊴⇥NaN=NaN","layer":1},{"info":"↹⩛15121∺≝⩲↹⩛41240=↹⩛424","layer":3},{"info":"↹⩛424⩠=↹⩛-1555","layer":2},{"info":"↹⩛30505⫔⩽⩺↹⩛33431=NaN","layer":3},{"info":"⋎⨆NaN=↹⩛454202000","layer":2},{"info":"↹⩛-1555⋣⋖↹⩛454202000=↹⩛-1555","layer":1},{"info":"NaN∴↹⩛-1555=NaN","layer":0}]} +{"id":839,"expression_no_base_symbol":"((↥($2145$⨲))∳⫺((⩰$1774$)∼($2981$⇄$1474$)))⋕⪉⪜(($1140$⪥$1304$↛⩡⫤)≠≀($1317$≀⫉$3331$≬⋮$4703$↳∿⪆$1158$))","expression":"((↥(↹⩛13533⨲))∳⫺((⩰↹⩛12114)∼(↹⩛21445⇄↹⩛10454)))⋕⪉⪜((↹⩛5140⪥↹⩛10012↛⩡⫤)≠≀(↹⩛10033≀⫉↹⩛23231≬⋮↹⩛33435↳∿⪆↹⩛5210))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7782480,"operation_count":13,"complexity_ratio":598652.3076923077,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2145,"base":6}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1774,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2981,"base":6},"right_expr":{"type":"numeric_atoms","value":1474,"base":6}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1140,"base":6},"right_expr":{"type":"numeric_atoms","value":1304,"base":6}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1317,"base":6},"right_expr":{"type":"numeric_atoms","value":3331,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4703,"base":6},"right_expr":{"type":"numeric_atoms","value":1158,"base":6}}}}},"used_operators":["z6LnFrNh4i","AzXXKTstlj","A8NUZmVepG","nLYMGWM7L8","DyGG3AbaNP","WkeUrDK8WX","3EYGwJThht","IwW236VD4Y","FU0Cs4j7VP","QbnwKVWMIQ","kbkesczE7y","oZj3VtZNQx","Cw4SuJJGHO"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","k8jYdgA6NY","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"↹⩛540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=378828109","layer":3},{"info":"compute unary expreesion, input=378828109, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":2},{"info":"number node, value=1774","layer":4},{"info":"compute unary expreesion, input=1774, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2774","layer":3},{"info":"number node, value=2981","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=1474, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2774, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=7, right_input=20, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1304, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9212","layer":3},{"info":"compute unary expreesion, input=9212, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1387101","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=3331, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4703","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=4703, right_input=1158, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1387101, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2774508","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=2774508, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":6,"result_base":6,"text":"((↥(↹⩛13533⨲))∳⫺((⩰↹⩛12114)∼(↹⩛21445⇄↹⩛10454)))⋕⪉⪜((↹⩛5140⪥↹⩛10012↛⩡⫤)≠≀(↹⩛10033≀⫉↹⩛23231≬⋮↹⩛33435↳∿⪆↹⩛5210))=↹⩛540","reverse_text":"↹⩛540=((↥(↹⩛13533⨲))∳⫺((⩰↹⩛12114)∼(↹⩛21445⇄↹⩛10454)))⋕⪉⪜((↹⩛5140⪥↹⩛10012↛⩡⫤)≠≀(↹⩛10033≀⫉↹⩛23231≬⋮↹⩛33435↳∿⪆↹⩛5210))","cot":[{"info":"↹⩛13533⨲=↹⩛101331333501","layer":3},{"info":"↥↹⩛101331333501=↹⩛11","layer":2},{"info":"⩰↹⩛12114=↹⩛-20502","layer":3},{"info":"↹⩛21445⇄↹⩛10454=↹⩛0","layer":3},{"info":"↹⩛-20502∼↹⩛0=↹⩛32","layer":2},{"info":"↹⩛11∳⫺↹⩛32=↹⩛-1112","layer":1},{"info":"↹⩛5140⪥↹⩛10012=↹⩛110352","layer":3},{"info":"↹⩛110352↛⩡⫤=↹⩛-45421433","layer":2},{"info":"↹⩛10033≀⫉↹⩛23231=↹⩛21022","layer":3},{"info":"↹⩛33435↳∿⪆↹⩛5210=NaN","layer":3},{"info":"↹⩛21022≬⋮NaN=NaN","layer":2},{"info":"↹⩛-45421433≠≀NaN=↹⩛135244540","layer":1},{"info":"↹⩛-1112⋕⪉⪜↹⩛135244540=↹⩛540","layer":0}]} +{"id":840,"expression_no_base_symbol":"(∤$1823$⪃⊛⇣$7648$⇌⫙⪟$1261$⩦$1883$)≬⇓($1075$⩚⊴⇥$3627$)≴⪞⇿($4810$⇷$2512$)⪡(≘$7471$)⊔$1780$⋕⪉⪜$2876$","expression":"(∤↹⩛12235⪃⊛⇣↹⩛55224⇌⫙⪟↹⩛5501⩦↹⩛12415)≬⇓(↹⩛4551⩚⊴⇥↹⩛24443)≴⪞⇿(↹⩛34134⇷↹⩛15344)⪡(≘↹⩛54331)⊔↹⩛12124⋕⪉⪜↹⩛21152","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":68277,"operation_count":12,"complexity_ratio":5689.75,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1823,"base":6},"right_expr":{"type":"numeric_atoms","value":7648,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1261,"base":6},"right_expr":{"type":"numeric_atoms","value":1883,"base":6}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1075,"base":6},"right_expr":{"type":"numeric_atoms","value":3627,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4810,"base":6},"right_expr":{"type":"numeric_atoms","value":2512,"base":6}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":7471,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1780,"base":6},"right_expr":{"type":"numeric_atoms","value":2876,"base":6}}}}},"used_operators":["jWTQ2TZYIH","k2HlF1dBQh","AFVx7xoS7T","rrgAzCduG9","0kmYd0q39Y","oraRL2iQuh","lvlrscuwVU","NTOWxs364D","mp7IySMOzn","E4l6HwMY31","tcjXMdvYtA","z6LnFrNh4i"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1823","layer":4},{"info":"number node, value=7648","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=7648, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1883, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2522","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2522, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=1075","layer":4},{"info":"number node, value=3627","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=3627, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4823","layer":3},{"info":"number node, value=4810","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=4810, right_input=2512, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5024","layer":3},{"info":"compute binary expreesion, left_input=-4823, right_input=5024, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-62376","layer":2},{"info":"number node, value=7471","layer":4},{"info":"compute unary expreesion, input=7471, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=16474339","layer":3},{"info":"number node, value=1780","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=2876, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=16474339, right_input=204, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=32947298","layer":2},{"info":"compute binary expreesion, left_input=-62376, right_input=32947298, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=125720","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=125720, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(∤↹⩛12235⪃⊛⇣↹⩛55224⇌⫙⪟↹⩛5501⩦↹⩛12415)≬⇓(↹⩛4551⩚⊴⇥↹⩛24443)≴⪞⇿(↹⩛34134⇷↹⩛15344)⪡(≘↹⩛54331)⊔↹⩛12124⋕⪉⪜↹⩛21152=↹⩛0","reverse_text":"↹⩛0=(∤↹⩛12235⪃⊛⇣↹⩛55224⇌⫙⪟↹⩛5501⩦↹⩛12415)≬⇓(↹⩛4551⩚⊴⇥↹⩛24443)≴⪞⇿(↹⩛34134⇷↹⩛15344)⪡(≘↹⩛54331)⊔↹⩛12124⋕⪉⪜↹⩛21152","cot":[{"info":"↹⩛12235⪃⊛⇣↹⩛55224=↹⩛5414","layer":3},{"info":"↹⩛5501⩦↹⩛12415=↹⩛15402","layer":3},{"info":"↹⩛5414⇌⫙⪟↹⩛15402=↹⩛305","layer":2},{"info":"∤↹⩛305=↹⩛13","layer":1},{"info":"↹⩛4551⩚⊴⇥↹⩛24443=↹⩛-34155","layer":3},{"info":"↹⩛34134⇷↹⩛15344=↹⩛35132","layer":3},{"info":"↹⩛-34155≴⪞⇿↹⩛35132=↹⩛-1200440","layer":2},{"info":"≘↹⩛54331=↹⩛1345034031","layer":3},{"info":"↹⩛12124⋕⪉⪜↹⩛21152=↹⩛540","layer":3},{"info":"↹⩛1345034031⊔↹⩛540=↹⩛3134101442","layer":2},{"info":"↹⩛-1200440⪡↹⩛3134101442=↹⩛2410012","layer":1},{"info":"↹⩛13≬⇓↹⩛2410012=↹⩛0","layer":0}]} +{"id":841,"expression_no_base_symbol":"(∤(⊿$5388$∝$1017$))⪥((($1007$⨼⩣$1082$)⊢($1023$⇴$7268$))⪗)","expression":"(∤(⊿↹⩛40540∝↹⩛4413))⪥(((↹⩛4355⨼⩣↹⩛5002)⊢(↹⩛4423⇴↹⩛53352))⪗)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":468,"operation_count":8,"complexity_ratio":58.5,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5388,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨼��","left_expr":{"type":"numeric_atoms","value":1007,"base":6},"right_expr":{"type":"numeric_atoms","value":1082,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1023,"base":6},"right_expr":{"type":"numeric_atoms","value":7268,"base":6}}}}},"used_operators":["QbnwKVWMIQ","k2HlF1dBQh","DO4fhlbJSI","cTDWOvIxvz","VEQNXA0ZBg","5twsqlHp2o","JxwMv5le6e","4JB6nKBMSY"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛33412","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5388","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=5388, right_input=1017, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5393","layer":3},{"info":"compute unary expreesion, input=5393, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-22310","layer":2},{"info":"compute unary expreesion, input=-22310, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1082, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=7268","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=7268, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20288, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4688","layer":0}],"base":6,"result_base":6,"text":"(∤(⊿↹⩛40540∝↹⩛4413))⪥(((↹⩛4355⨼⩣↹⩛5002)⊢(↹⩛4423⇴↹⩛53352))⪗)=↹⩛33412","reverse_text":"↹⩛33412=(∤(⊿↹⩛40540∝↹⩛4413))⪥(((↹⩛4355⨼⩣↹⩛5002)⊢(↹⩛4423⇴↹⩛53352))⪗)","cot":[{"info":"↹⩛40540∝↹⩛4413=↹⩛40545","layer":3},{"info":"⊿↹⩛40545=↹⩛-251142","layer":2},{"info":"∤↹⩛-251142=↹⩛13","layer":1},{"info":"↹⩛4355⨼⩣↹⩛5002=NaN","layer":3},{"info":"↹⩛4423⇴↹⩛53352=↹⩛233532","layer":3},{"info":"NaN⊢↹⩛233532=NaN","layer":2},{"info":"NaN⪗=NaN","layer":1},{"info":"↹⩛13⪥NaN=↹⩛33412","layer":0}]} +{"id":842,"expression_no_base_symbol":"((∓($7874$⫲≸⪮$4947$))⪍↜⋙(⇖⫷⫕($3676$⩤)))⩖⊿((($1427$⊿∆)⩒⫫($2691$⨰$1378$))⇷((⨮↦↱$2334$)⪡($4117$⊨$5439$)))","expression":"((∓(↹⩛100242⫲≸⪮↹⩛34523))⪍↜⋙(⇖⫷⫕(↹⩛25004⩤)))⩖⊿(((↹⩛10335⊿∆)⩒⫫(↹⩛20243⨰↹⩛10214))⇷((⨮↦↱↹⩛14450)⪡(↹⩛31021⊨↹⩛41103)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12890,"operation_count":13,"complexity_ratio":991.5384615384615,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":7874,"base":6},"right_expr":{"type":"numeric_atoms","value":4947,"base":6}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3676,"base":6}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1427,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2691,"base":6},"right_expr":{"type":"numeric_atoms","value":1378,"base":6}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2334,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4117,"base":6},"right_expr":{"type":"numeric_atoms","value":5439,"base":6}}}}},"used_operators":["RZ5CV9rWsJ","L05ObWFQCd","OwUj7dcsQK","P3lXMJvFrc","UHmRx3INFg","Z2TMIBDE3Q","mp7IySMOzn","KFSx94NKJn","fv3ZujxkQL","eewbuw0ToL","oraRL2iQuh","sYcpBQ0cFf","vg4gO5BX6G"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"↹⩛52015233442","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7874","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=7874, right_input=4947, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7874","layer":3},{"info":"compute unary expreesion, input=7874, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-122982","layer":2},{"info":"number node, value=3676","layer":4},{"info":"compute unary expreesion, input=3676, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3676","layer":3},{"info":"compute unary expreesion, input=-3676, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-122982, right_input=2822, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=608483","layer":1},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2975","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=1378, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1323","layer":3},{"info":"compute binary expreesion, left_input=-2975, right_input=1323, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=2334","layer":4},{"info":"compute unary expreesion, input=2334, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-10169946","layer":3},{"info":"number node, value=4117","layer":4},{"info":"number node, value=5439","layer":4},{"info":"compute binary expreesion, left_input=4117, right_input=5439, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=17499","layer":3},{"info":"compute binary expreesion, left_input=-10169946, right_input=17499, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=20340860","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=20340860, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=40681720","layer":1},{"info":"compute binary expreesion, left_input=608483, right_input=40681720, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=323019746","layer":0}],"base":6,"result_base":6,"text":"((∓(↹⩛100242⫲≸⪮↹⩛34523))⪍↜⋙(⇖⫷⫕(↹⩛25004⩤)))⩖⊿(((↹⩛10335⊿∆)⩒⫫(↹⩛20243⨰↹⩛10214))⇷((⨮↦↱↹⩛14450)⪡(↹⩛31021⊨↹⩛41103)))=↹⩛52015233442","reverse_text":"↹⩛52015233442=((∓(↹⩛100242⫲≸⪮↹⩛34523))⪍↜⋙(⇖⫷⫕(↹⩛25004⩤)))⩖⊿(((↹⩛10335⊿∆)⩒⫫(↹⩛20243⨰↹⩛10214))⇷((⨮↦↱↹⩛14450)⪡(↹⩛31021⊨↹⩛41103)))","cot":[{"info":"↹⩛100242⫲≸⪮↹⩛34523=↹⩛100242","layer":3},{"info":"∓↹⩛100242=↹⩛-2345210","layer":2},{"info":"↹⩛25004⩤=↹⩛-25004","layer":3},{"info":"⇖⫷⫕↹⩛-25004=↹⩛21022","layer":2},{"info":"↹⩛-2345210⪍↜⋙↹⩛21022=↹⩛21013015","layer":1},{"info":"↹⩛10335⊿∆=↹⩛-21435","layer":3},{"info":"↹⩛20243⨰↹��10214=↹⩛10043","layer":3},{"info":"↹⩛-21435⩒⫫↹⩛10043=↹⩛424","layer":2},{"info":"⨮↦↱↹⩛14450=↹⩛-1001551030","layer":3},{"info":"↹⩛31021⊨↹⩛41103=↹⩛213003","layer":3},{"info":"↹⩛-1001551030⪡↹⩛213003=↹⩛2003550352","layer":2},{"info":"↹⩛424⇷↹⩛2003550352=↹⩛4011541144","layer":1},{"info":"↹⩛21013015⩖⊿↹⩛4011541144=↹⩛52015233442","layer":0}]} +{"id":843,"expression_no_base_symbol":"⫡⇟⇯(($3971$⊍⩺⋍$1474$)↢($2051$≚⋢))⊕∕(($3758$⨲)⨐($2026$⨔⇊$1016$))","expression":"⫡⇟⇯((↹⩛30215⊍⩺⋍↹⩛10454)↢(↹⩛13255≚⋢))⊕∕((↹⩛25222⨲)⨐(↹⩛13214⨔⇊↹⩛4412))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":569361,"operation_count":8,"complexity_ratio":71170.125,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3971,"base":6},"right_expr":{"type":"numeric_atoms","value":1474,"base":6}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2051,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":3758,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2026,"base":6},"right_expr":{"type":"numeric_atoms","value":1016,"base":6}}}}},"used_operators":["qWUSsah53b","9cloC0Ngie","WR6HLWljOP","OXDGMFPWZM","MahUMFw56D","Noe24qw2ks","nLYMGWM7L8","JclMnS0uGI"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","3ViojmjbAp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3971","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=1474, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"number node, value=3758","layer":4},{"info":"compute unary expreesion, input=3758, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=667155085","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=1016, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1016","layer":3},{"info":"compute binary expreesion, left_input=667155085, right_input=1016, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1334310170","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1334310170, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , 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":6,"result_base":6,"text":"⫡⇟⇯((↹⩛30215⊍⩺⋍↹⩛10454)↢(↹⩛13255≚⋢))⊕∕((↹⩛25222⨲)⨐(↹⩛13214⨔⇊↹⩛4412))=NaN","reverse_text":"NaN=⫡⇟⇯((↹⩛30215⊍⩺⋍↹⩛10454)↢(↹⩛13255≚⋢))⊕∕((↹⩛25222⨲)⨐(↹⩛13214⨔⇊↹⩛4412))","cot":[{"info":"↹⩛30215⊍⩺⋍↹⩛10454=NaN","layer":3},{"info":"↹⩛13255≚⋢=↹⩛-225","layer":3},{"info":"NaN↢↹⩛-225=NaN","layer":2},{"info":"↹⩛25222⨲=↹⩛150111240541","layer":3},{"info":"↹⩛13214⨔⇊↹⩛4412=↹⩛4412","layer":3},{"info":"↹⩛150111240541⨐↹⩛4412=↹⩛-340222521522","layer":2},{"info":"NaN⊕∕↹⩛-340222521522=NaN","layer":1},{"info":"⫡⇟⇯NaN=NaN","layer":0}]} +{"id":844,"expression_no_base_symbol":"($4129$⊔$4132$⫲≸⪮$1706$⊝⪿⪼$1881$⫡⨏($1071$⊴⇁⪶)⋕⪉⪜(≱⇩⩕$7941$))∝($2172$⩘$1252$≎⊠⪸$1538$⪬$1229$⪄(⊿$1326$)⨥⫆($5341$∼$2846$))","expression":"(↹⩛31041⊔↹⩛31044⫲≸⪮↹⩛11522⊝⪿⪼↹⩛12413⫡⨏(↹⩛4543⊴⇁⪶)⋕⪉⪜(≱⇩⩕↹⩛100433))∝(↹⩛14020⩘↹⩛5444≎⊠⪸↹⩛11042⪬↹⩛5405⪄(⊿↹⩛10050)⨥⫆(↹⩛40421∼↹⩛21102))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":28923,"operation_count":15,"complexity_ratio":1928.2,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4129,"base":6},"right_expr":{"type":"numeric_atoms","value":4132,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1706,"base":6},"right_expr":{"type":"numeric_atoms","value":1881,"base":6}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1071,"base":6}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":7941,"base":6}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2172,"base":6},"right_expr":{"type":"numeric_atoms","value":1252,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1538,"base":6},"right_expr":{"type":"numeric_atoms","value":1229,"base":6}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1326,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5341,"base":6},"right_expr":{"type":"numeric_atoms","value":2846,"base":6}}}}},"used_operators":["cTDWOvIxvz","QMFrweE19q","P3lXMJvFrc","E4l6HwMY31","3Oe9XWJUTD","z6LnFrNh4i","oo9mF6JIpo","3DZMoQKiUl","SUmda5xLS4","bJkvcejdHO","cHh1gJQ2o6","Ez1Nq5fNfI","yXekIHxTD4","DO4fhlbJSI","DyGG3AbaNP"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4129","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=4132, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=26518","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1881, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=28260","layer":3},{"info":"compute binary expreesion, left_input=26518, right_input=28260, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=26518","layer":2},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, 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=15884","layer":3},{"info":"number node, value=7941","layer":4},{"info":"compute unary expreesion, input=7941, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=15884, right_input=113, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=26518, right_input=2802, 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=138977","layer":1},{"info":"number node, value=2172","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=1252, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=1229, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=40967","layer":2},{"info":"number node, value=1326","layer":4},{"info":"compute unary expreesion, input=1326, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-6042","layer":3},{"info":"number node, value=5341","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=2846, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6042, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=40967, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=138977, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31041⊔↹⩛31044⫲≸⪮↹⩛11522⊝⪿⪼↹⩛12413⫡⨏(↹⩛4543⊴⇁⪶)⋕⪉⪜(≱⇩⩕↹⩛100433))∝(↹⩛14020⩘↹⩛5444≎⊠⪸↹⩛11042⪬↹⩛5405⪄(⊿↹⩛10050)⨥⫆(↹⩛40421∼↹⩛21102))=NaN","reverse_text":"NaN=(↹⩛31041⊔↹⩛31044⫲≸⪮↹⩛11522⊝⪿⪼↹⩛12413⫡⨏(↹⩛4543⊴⇁⪶)⋕⪉⪜(≱⇩⩕↹⩛100433))∝(↹⩛14020⩘↹⩛5444≎⊠⪸↹⩛11042⪬↹⩛5405⪄(⊿↹⩛10050)⨥⫆(↹⩛40421∼↹⩛21102))","cot":[{"info":"↹⩛31041⊔↹⩛31044=↹⩛322434","layer":3},{"info":"↹⩛11522⊝⪿⪼↹⩛12413=↹⩛334500","layer":3},{"info":"↹⩛322434⫲≸⪮↹⩛334500=↹⩛322434","layer":2},{"info":"↹⩛4543⊴⇁⪶=↹⩛201312","layer":3},{"info":"≱⇩⩕↹⩛100433=↹⩛305","layer":3},{"info":"↹⩛201312⋕⪉⪜↹⩛305=↹⩛20550","layer":2},{"info":"↹⩛322434⫡⨏↹⩛20550=↹⩛2551225","layer":1},{"info":"↹⩛14020⩘↹⩛5444=↹⩛424","layer":3},{"info":"↹⩛11042⪬↹⩛5405=↹⩛5414","layer":3},{"info":"↹⩛424≎⊠⪸↹⩛5414=↹⩛513355","layer":2},{"info":"⊿↹⩛10050=↹⩛-43550","layer":3},{"info":"↹⩛40421∼↹⩛21102=NaN","layer":3},{"info":"↹⩛-43550⨥⫆NaN=NaN","layer":2},{"info":"↹⩛513355⪄NaN=NaN","layer":1},{"info":"↹⩛2551225∝NaN=NaN","layer":0}]} +{"id":845,"expression_no_base_symbol":"(($1067$⇄$1006$)∥⊢⊲(∂$3496$)⇩)⨚⇆(($1094$⇆⨓≜)⇌⫙⪟$1039$⋥⋵⩄$1405$)⩦($1431$⩧⪆$1499$⫲)","expression":"((↹⩛4535⇄↹⩛4354)∥⊢⊲(∂↹⩛24104)⇩)⨚⇆((↹⩛5022⇆⨓≜)⇌⫙⪟↹⩛4451⋥⋵⩄↹⩛10301)⩦(↹⩛10343⩧⪆↹⩛10535⫲)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":425,"operation_count":11,"complexity_ratio":38.63636363636363,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1067,"base":6},"right_expr":{"type":"numeric_atoms","value":1006,"base":6}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3496,"base":6}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1094,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1039,"base":6},"right_expr":{"type":"numeric_atoms","value":1405,"base":6}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1431,"base":6},"right_expr":{"type":"numeric_atoms","value":1499,"base":6}}}}},"used_operators":["lwHaAYXP2r","vRio1gEz1j","v1UQAVDJRr","3EYGwJThht","Uaa54Peajs","0kmYd0q39Y","AFVx7xoS7T","KvvgdUaMHJ","7t3wd0Fuz7","9xnGDUPbC6","Ikt5ks8PT7"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Uaa54Peajs","KYD54nUTWz","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1006, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3496","layer":4},{"info":"compute unary expreesion, input=3496, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":1},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1405, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1499, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1499","layer":3},{"info":"compute unary expreesion, input=-1499, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2877","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2877, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛4535⇄↹⩛4354)∥⊢⊲(∂↹⩛24104)⇩)⨚⇆((↹⩛5022⇆⨓≜)⇌⫙⪟↹⩛4451⋥⋵⩄↹⩛10301)⩦(↹⩛10343⩧⪆↹⩛10535⫲)=NaN","reverse_text":"NaN=((↹⩛4535⇄↹⩛4354)∥⊢⊲(∂↹⩛24104)⇩)⨚⇆((↹⩛5022⇆⨓≜)⇌⫙⪟↹⩛4451⋥⋵⩄↹⩛10301)⩦(↹⩛10343⩧⪆↹⩛10535⫲)","cot":[{"info":"↹⩛4535⇄↹⩛4354=↹⩛0","layer":3},{"info":"∂↹⩛24104=NaN","layer":3},{"info":"↹⩛0∥⊢⊲NaN=NaN","layer":2},{"info":"NaN⇩=NaN","layer":1},{"info":"↹⩛5022⇆⨓≜=NaN","layer":3},{"info":"↹⩛4451⋥⋵⩄↹⩛10301=↹⩛305","layer":3},{"info":"NaN⇌⫙⪟↹⩛305=NaN","layer":2},{"info":"↹⩛10343⩧⪆↹⩛10535=↹⩛-10535","layer":3},{"info":"↹⩛-10535⫲=↹⩛21153","layer":2},{"info":"NaN⩦↹⩛21153=NaN","layer":1},{"info":"NaN⨚⇆NaN=NaN","layer":0}]} +{"id":846,"expression_no_base_symbol":"((↘$3494$⫣⪄⊒$2032$)≹⇙⪍($5718$⪡$3727$⪇≇⋚$8659$⋛$3464$))∓⋝((⊽($1987$↹⊜$3343$))⋛(($8419$≭$3380$)⊋$1765$∓⋝$5411$))","expression":"((↘↹⩛24102⫣⪄⊒↹⩛13224)≹⇙⪍(↹⩛42250⪡↹⩛25131⪇≇⋚↹⩛104031⋛↹⩛24012))∓⋝((⊽(↹⩛13111↹⊜↹⩛23251))⋛((↹⩛102551≭↹⩛23352)⊋↹⩛12101∓⋝↹⩛41015))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":574,"operation_count":13,"complexity_ratio":44.15384615384615,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3494,"base":6},"right_expr":{"type":"numeric_atoms","value":2032,"base":6}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5718,"base":6},"right_expr":{"type":"numeric_atoms","value":3727,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":8659,"base":6},"right_expr":{"type":"numeric_atoms","value":3464,"base":6}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1987,"base":6},"right_expr":{"type":"numeric_atoms","value":3343,"base":6}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8419,"base":6},"right_expr":{"type":"numeric_atoms","value":3380,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1765,"base":6},"right_expr":{"type":"numeric_atoms","value":5411,"base":6}}}}},"used_operators":["PoHhknlbAi","AHs5Up7iyr","LdNpr8hQHL","RabNbG55vr","3sJ7IOPOlU","oraRL2iQuh","YbUVn0Rbpy","QxG7OkqoLX","9bazX3JMtO","W4tP9CfskL","rxpJgHHUmx"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","dWAJyo7jo9","uFcxV4UQCh","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","AHs5Up7iyr"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3494","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=2032, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5716","layer":3},{"info":"compute unary expreesion, input=-5716, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=164","layer":2},{"info":"number node, value=5718","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=5718, right_input=3727, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=8659","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=8659, right_input=3464, 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=-54261","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-54261, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=164, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=164","layer":1},{"info":"number node, value=1987","layer":4},{"info":"number node, value=3343","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=3343, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9494","layer":3},{"info":"compute unary expreesion, input=-9494, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=8419","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=8419, right_input=3380, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1765","layer":4},{"info":"number node, value=5411","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=5411, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 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=-4114","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4114, 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=-11697","layer":1},{"info":"compute binary expreesion, left_input=164, right_input=-11697, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"((↘↹⩛24102⫣⪄⊒↹⩛13224)≹⇙⪍(↹⩛42250⪡↹⩛25131⪇≇⋚↹⩛104031⋛↹⩛24012))∓⋝((⊽(↹⩛13111↹⊜↹⩛23251))⋛((↹⩛102551≭↹⩛23352)⊋↹⩛12101∓⋝↹⩛41015))=↹⩛151","reverse_text":"↹⩛151=((↘↹⩛24102⫣⪄⊒↹⩛13224)≹⇙⪍(↹⩛42250⪡↹⩛25131⪇≇⋚↹⩛104031⋛↹⩛24012))∓⋝((⊽(↹⩛13111↹⊜↹⩛23251))⋛((↹⩛102551≭↹⩛23352)⊋↹⩛12101∓⋝↹⩛41015))","cot":[{"info":"↹⩛24102⫣⪄⊒↹⩛13224=↹⩛-42244","layer":3},{"info":"↘↹⩛-42244=↹⩛432","layer":2},{"info":"↹⩛42250⪡↹⩛25131=↹⩛255","layer":3},{"info":"↹⩛104031⋛↹⩛24012=↹⩛-1055113","layer":3},{"info":"↹⩛255⪇≇⋚↹⩛-1055113=↹⩛0","layer":2},{"info":"↹⩛432≹⇙⪍↹⩛0=↹⩛432","layer":1},{"info":"↹⩛13111↹⊜↹⩛23251=↹⩛-111542","layer":3},{"info":"⊽↹⩛-111542=↹⩛0","layer":2},{"info":"↹⩛102551≭↹⩛23352=NaN","layer":3},{"info":"↹⩛12101∓⋝↹⩛41015=↹⩛151","layer":3},{"info":"NaN⊋↹⩛151=↹⩛-31014","layer":2},{"info":"↹⩛0⋛↹⩛-31014=↹⩛-130053","layer":1},{"info":"↹⩛432∓⋝↹⩛-130053=↹⩛151","layer":0}]} +{"id":847,"expression_no_base_symbol":"(↽≂$3753$∓⋝$7407$∑⇟⊟$1000$⪔⊥$1230$)⪒⊣⊆((⨞⊢$2602$)⪕($2986$*$2204$))≎⪠(($1392$⪶≀⋏$4930$)∩⋅)","expression":"(↽≂↹⩛25213∓⋝↹⩛54143∑⇟⊟↹⩛4344⪔⊥↹⩛5410)⪒⊣⊆((⨞⊢↹⩛20014)⪕(↹⩛21454*↹⩛14112))≎⪠((↹⩛10240⪶≀⋏↹⩛34454)∩⋅)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21396,"operation_count":11,"complexity_ratio":1945.090909090909,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3753,"base":6},"right_expr":{"type":"numeric_atoms","value":7407,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":1230,"base":6}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2602,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2986,"base":6},"right_expr":{"type":"numeric_atoms","value":2204,"base":6}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1392,"base":6},"right_expr":{"type":"numeric_atoms","value":4930,"base":6}}}}},"used_operators":["eRqsBgTDFp","u6S6b8DprG","U7g4x0WXJJ","PoHhknlbAi","HJ9erzHUuu","aNhz54LH3e","umQnsF7QlU","xUOZtlo3hN","9HNa5Wba9A","2MzE1hQ0cz","zR4jO40bMj"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3753","layer":4},{"info":"number node, value=7407","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=7407, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1230, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1341","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1341, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=2602","layer":4},{"info":"compute unary expreesion, input=2602, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2776","layer":3},{"info":"number node, value=2986","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=2204, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6581144","layer":3},{"info":"compute binary expreesion, left_input=-2776, right_input=6581144, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=1392","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=4930, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14268","layer":3},{"info":"compute unary expreesion, input=-14268, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=67, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↽≂↹⩛25213∓⋝↹⩛54143∑⇟⊟↹⩛4344⪔⊥↹⩛5410)⪒⊣⊆((⨞⊢↹⩛20014)⪕(↹⩛21454*↹⩛14112))≎⪠((↹⩛10240⪶≀⋏↹⩛34454)∩⋅)=NaN","reverse_text":"NaN=(↽≂↹⩛25213∓⋝↹⩛54143∑⇟⊟↹⩛4344⪔⊥↹⩛5410)⪒⊣⊆((⨞⊢↹⩛20014)⪕(↹⩛21454*↹⩛14112))≎⪠((↹⩛10240⪶≀⋏↹⩛34454)∩⋅)","cot":[{"info":"↹⩛25213∓⋝↹⩛54143=↹⩛151","layer":3},{"info":"↹⩛4344⪔⊥↹⩛5410=↹⩛10113","layer":3},{"info":"↹⩛151∑⇟⊟↹⩛10113=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⨞⊢↹⩛20014=↹⩛-20504","layer":3},{"info":"↹⩛21454*↹⩛14112=↹⩛353020132","layer":3},{"info":"↹⩛-20504⪕↹⩛353020132=↹⩛-131","layer":2},{"info":"↹⩛10240⪶≀⋏↹⩛34454=↹⩛-150020","layer":3},{"info":"↹⩛-150020∩⋅=↹⩛151","layer":2},{"info":"↹⩛-131≎⪠↹⩛151=↹⩛230314","layer":1},{"info":"NaN⪒⊣⊆↹⩛230314=NaN","layer":0}]} +{"id":848,"expression_no_base_symbol":"(($3620$⫚↹⊑$7360$)⪭($2317$⋾⨃∁$3881$))↞⋁($1092$≁↽≥$1869$⨓(⊽$1003$))⪡((⨈⪑(∑⇻≧$1450$))∪⫐$4582$⨸$7450$⩘$2815$⨸$2105$)","expression":"((↹⩛24432⫚↹⊑↹⩛54024)⪭(↹⩛14421⋾⨃∁↹⩛25545))↞⋁(↹⩛5020≁↽≥↹⩛12353⨓(⊽↹⩛4351))⪡((⨈⪑(∑⇻≧↹⩛10414))∪⫐↹⩛33114⨸↹⩛54254⩘↹⩛21011⨸↹⩛13425)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15301,"operation_count":14,"complexity_ratio":1092.9285714285713,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3620,"base":6},"right_expr":{"type":"numeric_atoms","value":7360,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2317,"base":6},"right_expr":{"type":"numeric_atoms","value":3881,"base":6}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1092,"base":6},"right_expr":{"type":"numeric_atoms","value":1869,"base":6}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1003,"base":6}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1450,"base":6}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4582,"base":6},"right_expr":{"type":"numeric_atoms","value":7450,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2815,"base":6},"right_expr":{"type":"numeric_atoms","value":2105,"base":6}}}}},"used_operators":["oraRL2iQuh","RqrPlJkxDo","j9kHMeSvPp","dfKe02y8D2","212REbPD9h","3ViojmjbAp","ncHt1X6cMc","QxG7OkqoLX","7YooWSwCyH","mp94q5OcYM","l1M9WJ3V7u","cHh1gJQ2o6","KmoU8R5UQR"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","COABgblf1C","xUOZtlo3hN","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rJVOvQCfKK","2DDjHMKMc0","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"↹⩛255","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3620","layer":4},{"info":"number node, value=7360","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=7360, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2317","layer":4},{"info":"number node, value=3881","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=3881, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=150574944","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=150574944, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=273","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1869, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26312","layer":3},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3528","layer":3},{"info":"compute binary expreesion, left_input=26312, right_input=3528, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3531","layer":2},{"info":"compute binary expreesion, left_input=273, right_input=-3531, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=273","layer":1},{"info":"number node, value=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute unary expreesion, input=-852, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=4582","layer":4},{"info":"number node, value=7450","layer":4},{"info":"compute binary expreesion, left_input=4582, right_input=7450, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9164","layer":3},{"info":"number node, value=2815","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=2105, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5630","layer":3},{"info":"compute binary expreesion, left_input=9164, right_input=5630, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=160, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=273, right_input=868, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":0}],"base":6,"result_base":6,"text":"((↹⩛24432⫚↹⊑↹⩛54024)⪭(↹⩛14421⋾⨃∁↹⩛25545))↞⋁(↹⩛5020≁↽≥↹⩛12353⨓(⊽↹⩛4351))⪡((⨈⪑(∑⇻≧↹⩛10414))∪⫐↹⩛33114⨸↹⩛54254⩘↹⩛21011⨸↹⩛13425)=↹⩛255","reverse_text":"↹⩛255=((↹⩛24432⫚↹⊑↹⩛54024)⪭(↹⩛14421⋾⨃∁↹⩛25545))↞⋁(↹⩛5020≁↽≥↹⩛12353⨓(⊽↹⩛4351))⪡((⨈⪑(∑⇻≧↹⩛10414))∪⫐↹⩛33114⨸↹⩛54254⩘↹⩛21011⨸↹⩛13425)","cot":[{"info":"↹⩛24432⫚↹⊑↹⩛54024=↹⩛-2023","layer":3},{"info":"↹⩛14421⋾⨃∁↹⩛25545=↹⩛22535202120","layer":3},{"info":"↹⩛-2023⪭↹⩛22535202120=↹⩛1133","layer":2},{"info":"↹⩛5020≁↽≥↹⩛12353=↹⩛321452","layer":3},{"info":"⊽↹⩛4351=↹⩛24200","layer":3},{"info":"↹⩛321452⨓↹⩛24200=↹⩛-24203","layer":2},{"info":"↹⩛1133↞⋁↹⩛-24203=↹⩛1133","layer":1},{"info":"∑⇻≧↹⩛10414=↹⩛-3540","layer":3},{"info":"⨈⪑↹⩛-3540=↹⩛4004","layer":2},{"info":"↹⩛33114⨸↹⩛54254=↹⩛110232","layer":3},{"info":"↹⩛21011⨸↹⩛13425=↹⩛42022","layer":3},{"info":"↹⩛110232⩘↹⩛42022=↹⩛424","layer":2},{"info":"↹⩛4004∪⫐↹⩛424=↹⩛4004","layer":1},{"info":"↹⩛1133⪡↹⩛4004=↹⩛255","layer":0}]} +{"id":849,"expression_no_base_symbol":"($2952$⨔⇊$1576$≹⇙⪍$5002$⨽∌$2567$⊋≦⊧((⨂⪏⇭$1435$)↡⊰⫅$1041$≀⩗∶$2497$))⨻⩈⩔(⨞⊢(⨴⫝$8093$)⫸⇳($2188$∽$6921$))","expression":"(↹⩛21400⨔⇊↹⩛11144≹⇙⪍↹⩛35054⨽∌↹⩛15515⊋≦⊧((⨂⪏⇭↹⩛10351)↡⊰⫅↹⩛4453≀⩗∶↹⩛15321))⨻⩈⩔(⨞⊢(⨴⫝↹⩛101245)⫸⇳(↹⩛14044∽↹⩛52013))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2139,"operation_count":12,"complexity_ratio":178.25,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2952,"base":6},"right_expr":{"type":"numeric_atoms","value":1576,"base":6}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5002,"base":6},"right_expr":{"type":"numeric_atoms","value":2567,"base":6}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1435,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1041,"base":6},"right_expr":{"type":"numeric_atoms","value":2497,"base":6}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":8093,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2188,"base":6},"right_expr":{"type":"numeric_atoms","value":6921,"base":6}}}}},"used_operators":["nEsXyWgiOK","oRDoc9rAEX","AHs5Up7iyr","JclMnS0uGI","9samAPKr6k","VCtxkLNOzz","AYdpE9sXAk","8INZBEW696","xUOZtlo3hN","gx7XJ7hdpj","SVb2v531z1","y4ImoPnbV5"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","NTOWxs364D","QMFrweE19q"],"result":"↹⩛-450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=1576, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1576","layer":3},{"info":"number node, value=5002","layer":4},{"info":"number node, value=2567","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=2567, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1576, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=1576","layer":2},{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=3326","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2497, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=3326, right_input=-6, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=-12","layer":2},{"info":"compute binary expreesion, left_input=1576, right_input=-12, 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=264","layer":1},{"info":"number node, value=8093","layer":4},{"info":"compute unary expreesion, input=8093, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=6921","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=6921, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-31525","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-31525, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=264, right_input=-174, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21400⨔⇊↹⩛11144≹⇙⪍↹⩛35054⨽∌↹⩛15515⊋≦⊧((⨂⪏⇭↹⩛10351)↡⊰⫅↹⩛4453≀⩗∶↹⩛15321))⨻⩈⩔(⨞⊢(⨴⫝↹⩛101245)⫸⇳(↹⩛14044∽↹⩛52013))=↹⩛-450","reverse_text":"↹⩛-450=(↹⩛21400⨔⇊↹⩛11144≹⇙⪍↹⩛35054⨽∌↹⩛15515⊋≦⊧((⨂⪏⇭↹⩛10351)↡⊰⫅↹⩛4453≀⩗∶↹⩛15321))⨻⩈⩔(⨞⊢(⨴⫝↹⩛101245)⫸⇳(↹⩛14044∽↹⩛52013))","cot":[{"info":"↹⩛21400⨔⇊↹⩛11144=↹⩛11144","layer":3},{"info":"↹⩛35054⨽∌↹⩛15515=↹⩛0","layer":3},{"info":"↹⩛11144≹⇙⪍↹⩛0=↹⩛11144","layer":2},{"info":"⨂⪏⇭↹⩛10351=↹⩛23222","layer":3},{"info":"↹⩛4453≀⩗∶↹⩛15321=↹⩛-10","layer":3},{"info":"↹⩛23222↡⊰⫅↹⩛-10=↹⩛-20","layer":2},{"info":"↹⩛11144⊋≦⊧↹⩛-20=↹⩛1120","layer":1},{"info":"⨴⫝↹⩛101245=↹⩛140341302","layer":3},{"info":"↹⩛14044∽↹⩛52013=↹⩛-401541","layer":3},{"info":"↹⩛140341302⫸⇳↹⩛-401541=↹⩛0","layer":2},{"info":"⨞⊢↹⩛0=↹⩛-450","layer":1},{"info":"↹⩛1120⨻⩈⩔↹⩛-450=↹⩛-450","layer":0}]} +{"id":850,"expression_no_base_symbol":"($3385$⇤$1023$⪔($2736$⋓$1009$)⨽$2595$⊲⩕⊾$3107$↼⊘⨖($1688$⨳⩥⨓$5759$))⪝((≻⋜($2563$⪛⫼$2029$))⪢(⨰⫟⨤($1743$≧⫂∧$1565$)))","expression":"(↹⩛23401⇤↹⩛4423⪔(↹⩛20400⋓↹⩛4401)⨽↹⩛20003⊲⩕⊾↹⩛22215↼⊘⨖(↹⩛11452⨳⩥⨓↹⩛42355))⪝((≻⋜(↹⩛15511⪛⫼↹⩛13221))⪢(⨰⫟⨤(↹⩛12023≧⫂∧↹⩛11125)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15013,"operation_count":13,"complexity_ratio":1154.8461538461538,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3385,"base":6},"right_expr":{"type":"numeric_atoms","value":1023,"base":6}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2736,"base":6},"right_expr":{"type":"numeric_atoms","value":1009,"base":6}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2595,"base":6},"right_expr":{"type":"numeric_atoms","value":3107,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1688,"base":6},"right_expr":{"type":"numeric_atoms","value":5759,"base":6}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2563,"base":6},"right_expr":{"type":"numeric_atoms","value":2029,"base":6}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1743,"base":6},"right_expr":{"type":"numeric_atoms","value":1565,"base":6}}}}},"used_operators":["wicAB68Tmb","8HhzD0ZcuI","GjBEYRfMaF","YSKBFp38Pu","T2fj7uvVaJ","bPywburJMS","DmTXOeWf9t","nCS4ZIUYfx","dWAJyo7jo9","3tj9sqzovi","hyuBjUqXlG","Tw270M8GLb","Ph9nP6C5qx"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3385","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=3385, right_input=1023, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19192","layer":3},{"info":"number node, value=2736","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=1009, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-19192, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":2},{"info":"number node, value=2595","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=3107, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-69220","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=5759","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=5759, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4071","layer":3},{"info":"compute binary expreesion, left_input=-69220, right_input=4071, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7920","layer":2},{"info":"compute binary expreesion, left_input=-6760, right_input=7920, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-137115246","layer":1},{"info":"number node, value=2563","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=2029, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1565, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1092","layer":3},{"info":"compute unary expreesion, input=1092, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-137115246, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23401⇤↹⩛4423⪔(↹⩛20400⋓↹⩛4401)⨽↹⩛20003⊲⩕⊾↹⩛22215↼⊘⨖(↹⩛11452⨳⩥⨓↹⩛42355))⪝((≻⋜(↹⩛15511⪛⫼↹⩛13221))⪢(⨰⫟⨤(↹⩛12023≧⫂∧↹⩛11125)))=NaN","reverse_text":"NaN=(↹⩛23401⇤↹⩛4423⪔(↹⩛20400⋓↹⩛4401)⨽↹⩛20003⊲⩕⊾↹⩛22215↼⊘⨖(↹⩛11452⨳⩥⨓↹⩛42355))⪝((≻⋜(↹⩛15511⪛⫼↹⩛13221))⪢(⨰⫟⨤(↹⩛12023≧⫂∧↹⩛11125)))","cot":[{"info":"↹⩛23401⇤↹⩛4423=↹⩛-224504","layer":3},{"info":"↹⩛20400⋓↹⩛4401=↹⩛0","layer":3},{"info":"↹⩛-224504⪔↹⩛0=↹⩛-51144","layer":2},{"info":"↹⩛20003⊲⩕⊾↹⩛22215=↹⩛-1252244","layer":3},{"info":"↹⩛11452⨳⩥⨓↹⩛42355=↹⩛30503","layer":3},{"info":"↹⩛-1252244↼⊘⨖↹⩛30503=↹⩛100400","layer":2},{"info":"↹⩛-51144⨽↹⩛100400=↹⩛-21334504450","layer":1},{"info":"↹⩛15511⪛⫼↹⩛13221=↹⩛4252","layer":3},{"info":"≻⋜↹⩛4252=NaN","layer":2},{"info":"↹⩛12023≧⫂∧↹⩛11125=↹⩛5020","layer":3},{"info":"⨰⫟⨤↹⩛5020=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"↹⩛-21334504450⪝NaN=NaN","layer":0}]} +{"id":851,"expression_no_base_symbol":"(($2329$∧)≧⫂∧($7736$⫑))≄⊠(⪸(↘$3427$))↱($7179$∽$6193$)⪬($1387$∑⇟⊟$1701$)≌((⋼∭⪍$4783$)⋻⩜⩜$4157$⪉⨛$1604$)","expression":"((↹⩛14441∧)≧⫂∧(↹⩛55452⫑))≄⊠(⪸(↘↹⩛23511))↱(↹⩛53123∽↹⩛44401)⪬(↹⩛10231∑⇟⊟↹⩛11513)≌((⋼∭⪍↹⩛34051)⋻⩜⩜↹⩛31125⪉⨛↹⩛11232)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":72662,"operation_count":14,"complexity_ratio":5190.142857142857,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2329,"base":6}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":7736,"base":6}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3427,"base":6}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":7179,"base":6},"right_expr":{"type":"numeric_atoms","value":6193,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1387,"base":6},"right_expr":{"type":"numeric_atoms","value":1701,"base":6}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4783,"base":6}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4157,"base":6},"right_expr":{"type":"numeric_atoms","value":1604,"base":6}}}}},"used_operators":["SR5kFfdi6N","vXNesLlMH1","Ph9nP6C5qx","z63VuFQld9","CgIo77xlM2","86A5ENbKR9","LdNpr8hQHL","lyWz822IDG","Ez1Nq5fNfI","y4ImoPnbV5","U7g4x0WXJJ","oDCm7WA9JY","DbCuESL50I","EWw2JM7wp4"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","uFcxV4UQCh","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2329","layer":4},{"info":"compute unary expreesion, input=2329, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=7736","layer":4},{"info":"compute unary expreesion, input=7736, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3506","layer":2},{"info":"number node, value=3427","layer":4},{"info":"compute unary expreesion, input=3427, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=291","layer":3},{"info":"compute unary expreesion, input=291, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-4738","layer":2},{"info":"compute binary expreesion, left_input=3506, right_input=-4738, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=7179","layer":4},{"info":"number node, value=6193","layer":4},{"info":"compute binary expreesion, left_input=7179, right_input=6193, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-54296","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1701, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-54296, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=4783","layer":4},{"info":"compute unary expreesion, input=4783, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-17392","layer":3},{"info":"number node, value=4157","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=4157, right_input=1604, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11082","layer":3},{"info":"compute binary expreesion, left_input=-17392, right_input=11082, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=71492","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=71492, 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=1500, 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":6,"result_base":6,"text":"((↹⩛14441∧)≧⫂∧(↹⩛55452⫑))≄⊠(⪸(↘↹⩛23511))↱(↹⩛53123∽↹⩛44401)⪬(↹⩛10231∑⇟⊟↹⩛11513)≌((⋼∭⪍↹⩛34051)⋻⩜⩜↹⩛31125⪉⨛↹⩛11232)=NaN","reverse_text":"NaN=((↹⩛14441∧)≧⫂∧(↹⩛55452⫑))≄⊠(⪸(↘↹⩛23511))↱(↹⩛53123∽↹⩛44401)⪬(↹⩛10231∑⇟⊟↹⩛11513)≌((⋼∭⪍↹⩛34051)⋻⩜⩜↹⩛31125⪉⨛↹⩛11232)","cot":[{"info":"↹⩛14441∧=NaN","layer":3},{"info":"↹⩛55452⫑=↹⩛30231","layer":3},{"info":"NaN≧⫂∧↹⩛30231=↹⩛24122","layer":2},{"info":"↘↹⩛23511=↹⩛1203","layer":3},{"info":"⪸↹⩛1203=↹⩛-33534","layer":2},{"info":"↹⩛24122≄⊠↹⩛-33534=↹⩛10540","layer":1},{"info":"↹⩛53123∽↹⩛44401=↹⩛-1055212","layer":3},{"info":"↹⩛10231∑⇟⊟↹⩛11513=NaN","layer":3},{"info":"↹⩛-1055212⪬NaN=↹⩛5414","layer":2},{"info":"⋼∭⪍↹⩛34051=↹⩛-212304","layer":3},{"info":"↹⩛31125⪉⨛↹⩛11232=↹⩛123150","layer":3},{"info":"↹⩛-212304⋻⩜⩜↹⩛123150=↹⩛1310552","layer":2},{"info":"↹⩛5414≌↹⩛1310552=NaN","layer":1},{"info":"↹⩛10540↱NaN=NaN","layer":0}]} +{"id":852,"expression_no_base_symbol":"(($5796$⪘⫢$4979$)⋣⋖($7816$∧))∳⫺(($1979$⩎⪣⊞)≧⫂∧$1371$≹⇙⪍$4546$)⊾⪯⋞(($1301$⫸⊐$1075$)⋳⪒$8824$↢$1047$∽($2136$⇮⋭$6138$)⨰($1498$⇩))","expression":"((↹⩛42500⪘⫢↹⩛35015)⋣⋖(↹⩛100104∧))∳⫺((↹⩛13055⩎⪣⊞)≧⫂∧↹⩛10203≹⇙⪍↹⩛33014)⊾⪯⋞((↹⩛10005⫸⊐↹⩛4551)⋳⪒↹⩛104504↢↹⩛4503∽(↹⩛13520⇮⋭↹⩛44230)⨰(↹⩛10534⇩))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27957,"operation_count":15,"complexity_ratio":1863.8,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5796,"base":6},"right_expr":{"type":"numeric_atoms","value":4979,"base":6}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":7816,"base":6}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1979,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1371,"base":6},"right_expr":{"type":"numeric_atoms","value":4546,"base":6}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1301,"base":6},"right_expr":{"type":"numeric_atoms","value":1075,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":8824,"base":6},"right_expr":{"type":"numeric_atoms","value":1047,"base":6}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2136,"base":6},"right_expr":{"type":"numeric_atoms","value":6138,"base":6}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1498,"base":6}}}}},"used_operators":["HK0tfVPux8","AzXXKTstlj","J0M6qkBnIM","oacrs7FA3X","z63VuFQld9","Ph9nP6C5qx","waWucp1uQ4","AHs5Up7iyr","y4ImoPnbV5","12rbrZMWeM","mqXw5SEYmG","WR6HLWljOP","eewbuw0ToL","vkpjKywKVM","vRio1gEz1j"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","dWAJyo7jo9","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe"],"result":"↹⩛153320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5796","layer":4},{"info":"number node, value=4979","layer":4},{"info":"compute binary expreesion, left_input=5796, right_input=4979, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11468","layer":3},{"info":"number node, value=7816","layer":4},{"info":"compute unary expreesion, input=7816, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11468, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=11468","layer":2},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=3958","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=4546, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3958, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11468, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1075, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4175","layer":3},{"info":"number node, value=8824","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=8824, right_input=1047, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=8340","layer":3},{"info":"compute binary expreesion, left_input=4175, right_input=8340, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-277","layer":2},{"info":"number node, value=2136","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=6138, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1498","layer":4},{"info":"compute unary expreesion, input=1498, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1591","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1591, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2054","layer":2},{"info":"compute binary expreesion, left_input=-277, right_input=-2054, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=7725","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=7725, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=15024","layer":0}],"base":6,"result_base":6,"text":"((↹⩛42500⪘⫢↹⩛35015)⋣⋖(↹⩛100104∧))∳⫺((↹⩛13055⩎⪣⊞)≧⫂∧↹⩛10203≹⇙⪍↹⩛33014)⊾⪯⋞((↹⩛10005⫸⊐↹⩛4551)⋳⪒↹⩛104504↢↹⩛4503∽(↹⩛13520⇮⋭↹⩛44230)⨰(↹⩛10534⇩))=↹⩛153320","reverse_text":"↹⩛153320=((↹⩛42500⪘⫢↹⩛35015)⋣⋖(↹⩛100104∧))∳⫺((↹⩛13055⩎⪣⊞)≧⫂∧↹⩛10203≹⇙⪍↹⩛33014)⊾⪯⋞((↹⩛10005⫸⊐↹⩛4551)⋳⪒↹⩛104504↢↹⩛4503∽(↹⩛13520⇮⋭↹⩛44230)⨰(↹⩛10534⇩))","cot":[{"info":"↹⩛42500⪘⫢↹⩛35015=↹⩛125032","layer":3},{"info":"↹⩛100104∧=NaN","layer":3},{"info":"↹⩛125032⋣⋖NaN=↹⩛125032","layer":2},{"info":"↹⩛13055⩎⪣⊞=↹⩛30154","layer":3},{"info":"↹⩛10203≹⇙⪍↹⩛33014=NaN","layer":3},{"info":"↹⩛30154≧⫂∧NaN=NaN","layer":2},{"info":"↹⩛125032∳⫺NaN=↹⩛-1112","layer":1},{"info":"↹⩛10005⫸⊐↹⩛4551=↹��31155","layer":3},{"info":"↹⩛104504↢↹⩛4503=↹⩛102340","layer":3},{"info":"↹⩛31155⋳⪒↹⩛102340=↹⩛-1141","layer":2},{"info":"↹⩛13520⇮⋭↹⩛44230=↹⩛-2105","layer":3},{"info":"↹⩛10534⇩=↹⩛11211","layer":3},{"info":"↹⩛-2105⨰↹⩛11211=↹⩛-13302","layer":2},{"info":"↹⩛-1141∽↹⩛-13302=↹⩛55433","layer":1},{"info":"↹⩛-1112⊾⪯⋞↹⩛55433=↹⩛153320","layer":0}]} +{"id":853,"expression_no_base_symbol":"(($5425$⊹∫⫚$1313$)+⪬∐$1165$⨼⩣$2552$*($6053$⨉)⫢⨠$4886$⨟⋌⩍$1396$)⊹∫⫚(⩷$5017$↞⋁$1433$)→⨶⪴(($6474$∠⫱$5140$)⨫⇇↔($3300$≄⊠$2180$))","expression":"((↹⩛41041⊹∫⫚↹⩛10025)+⪬∐↹⩛5221⨼⩣↹⩛15452*(↹⩛44005⨉)⫢⨠↹⩛34342⨟⋌⩍↹⩛10244)⊹∫⫚(⩷↹⩛35121↞⋁↹⩛10345)→⨶⪴((↹⩛45550∠⫱↹⩛35444)⨫⇇↔(↹⩛23140≄⊠↹⩛14032))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6800,"operation_count":14,"complexity_ratio":485.7142857142857,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5425,"base":6},"right_expr":{"type":"numeric_atoms","value":1313,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1165,"base":6},"right_expr":{"type":"numeric_atoms","value":2552,"base":6}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":6053,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4886,"base":6},"right_expr":{"type":"numeric_atoms","value":1396,"base":6}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5017,"base":6},"right_expr":{"type":"numeric_atoms","value":1433,"base":6}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6474,"base":6},"right_expr":{"type":"numeric_atoms","value":5140,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3300,"base":6},"right_expr":{"type":"numeric_atoms","value":2180,"base":6}}}}},"used_operators":["uWAJUKEvyW","9HNa5Wba9A","2GS7woTJqF","JxwMv5le6e","xlXykHWxX1","aMUSaJuDRU","rGHVDoGpnC","bF6eod5Gvf","1h0rLqGiFr","RqrPlJkxDo","LXhwmt4mBO","QvoQhV0rrE","vXNesLlMH1"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","g55IO6H4Gj","D4vGDi5EA2","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","Tcnh7f0tEr","8w2t5hMYqp","9FxExcQeMw","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5425","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=5425, right_input=1313, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-292","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2552, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-292, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=876","layer":2},{"info":"number node, value=6053","layer":4},{"info":"compute unary expreesion, input=6053, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=14434","layer":3},{"info":"number node, value=4886","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=1396, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14434, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=876, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5017","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=1433, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6474","layer":4},{"info":"number node, value=5140","layer":4},{"info":"compute binary expreesion, left_input=6474, right_input=5140, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3300","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=3300, right_input=2180, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=39548","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=39548, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛41041⊹∫⫚↹⩛10025)+⪬∐↹⩛5221⨼⩣↹⩛15452*(↹⩛44005⨉)⫢⨠↹⩛34342⨟⋌⩍↹⩛10244)⊹∫⫚(⩷↹⩛35121↞⋁↹⩛10345)→⨶⪴((↹⩛45550∠⫱↹⩛35444)⨫⇇↔(↹⩛23140≄⊠↹⩛14032))=NaN","reverse_text":"NaN=((↹⩛41041⊹∫⫚↹⩛10025)+⪬∐↹⩛5221⨼⩣↹⩛15452*(↹⩛44005⨉)⫢⨠↹⩛34342⨟⋌⩍↹⩛10244)⊹∫⫚(⩷↹⩛35121↞⋁↹⩛10345)→⨶⪴((↹⩛45550∠⫱↹⩛35444)⨫⇇↔(↹⩛23140≄⊠↹⩛14032))","cot":[{"info":"↹⩛41041⊹∫⫚↹⩛10025=↹⩛-1204","layer":3},{"info":"↹⩛5221⨼⩣↹⩛15452=NaN","layer":3},{"info":"↹⩛-1204+⪬∐NaN=↹⩛4020","layer":2},{"info":"↹⩛44005⨉=↹⩛150454","layer":3},{"info":"↹⩛34342⨟⋌⩍↹⩛10244=NaN","layer":3},{"info":"↹⩛150454⫢⨠NaN=NaN","layer":2},{"info":"↹⩛4020*NaN=NaN","layer":1},{"info":"↹⩛35121↞⋁↹⩛10345=NaN","layer":3},{"info":"⩷NaN=NaN","layer":2},{"info":"↹⩛45550∠⫱↹⩛35444=↹⩛5414","layer":3},{"info":"↹⩛23140≄⊠↹⩛14032=↹⩛503032","layer":3},{"info":"↹⩛5414⨫⇇↔↹⩛503032=↹⩛-2235","layer":2},{"info":"NaN→⨶⪴↹⩛-2235=NaN","layer":1},{"info":"NaN⊹∫⫚NaN=NaN","layer":0}]} +{"id":854,"expression_no_base_symbol":"(≯(⋃(⊑$7481$)))⨐⩸⫘$1431$⨜⨶$1016$⊉↱≁$1464$↓$8979$≥⨤⩑(↸⊣($4299$+$1051$))","expression":"(≯(⋃(⊑↹⩛54345)))⨐⩸⫘↹⩛10343⨜⨶↹⩛4412⊉↱≁↹⩛10440↓↹⩛105323≥⨤⩑(↸⊣(↹⩛31523+↹⩛4511))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":197401,"operation_count":10,"complexity_ratio":19740.1,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":7481,"base":6}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1431,"base":6},"right_expr":{"type":"numeric_atoms","value":1016,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1464,"base":6},"right_expr":{"type":"numeric_atoms","value":8979,"base":6}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4299,"base":6},"right_expr":{"type":"numeric_atoms","value":1051,"base":6}}}}},"used_operators":["fu6greOZ01","keWfFq85dY","3mBM5G4a3l","IkUmn0D7oy","gJLn6v0xnP","w2P8NbNXyL","HiPekx5b7W","Af076pWI7l","wztAlM01eG","W4YGzv6Whe"],"dependent_operators":["3ViojmjbAp","g55IO6H4Gj","JLbD19bQDL","g55IO6H4Gj","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7481","layer":4},{"info":"compute unary expreesion, input=7481, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=486","layer":2},{"info":"compute unary expreesion, input=486, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1431","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1016, 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=-1776","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=8979","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=8979, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1776, right_input=-134, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-18070","layer":2},{"info":"number node, value=4299","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=4299, right_input=1051, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5350","layer":3},{"info":"compute unary expreesion, input=5350, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-5063","layer":2},{"info":"compute binary expreesion, left_input=-18070, right_input=-5063, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≯(⋃(⊑↹⩛54345)))⨐⩸⫘↹⩛10343⨜⨶↹⩛4412⊉↱≁↹⩛10440↓↹⩛105323≥⨤⩑(↸⊣(↹⩛31523+↹⩛4511))=NaN","reverse_text":"NaN=(≯(⋃(⊑↹⩛54345)))⨐⩸⫘↹⩛10343⨜⨶↹⩛4412⊉↱≁↹⩛10440↓↹⩛105323≥⨤⩑(↸⊣(↹⩛31523+↹⩛4511))","cot":[{"info":"⊑↹⩛54345=↹⩛520","layer":3},{"info":"⋃↹⩛520=↹⩛2130","layer":2},{"info":"≯↹⩛2130=↹⩛0","layer":1},{"info":"↹⩛10343⨜⨶↹⩛4412=↹⩛-12120","layer":3},{"info":"↹⩛10440↓↹⩛105323=↹⩛-342","layer":3},{"info":"↹⩛-12120⊉↱≁↹⩛-342=↹⩛-215354","layer":2},{"info":"↹⩛31523+↹⩛4511=↹⩛40434","layer":3},{"info":"↸⊣↹⩛40434=↹⩛-35235","layer":2},{"info":"↹⩛-215354≥⨤⩑↹⩛-35235=NaN","layer":1},{"info":"↹⩛0⨐⩸⫘NaN=NaN","layer":0}]} +{"id":855,"expression_no_base_symbol":"(⇈(↓⇌$2816$))⊨(∷≠$1898$)≠≀($2119$∖$4374$)⩨(⨈⪑(≔$1572$))⊢(($3494$⪒$6447$)⇷$2636$⩍⋽⫝̸$2697$)","expression":"(⇈(↓⇌↹⩛21012))⊨(∷≠↹⩛12442)≠≀(↹⩛13451∖↹⩛32130)⩨(⨈⪑(≔↹⩛11140))⊢((↹⩛24102⪒↹⩛45503)⇷↹⩛20112⩍⋽⫝̸↹⩛20253)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":140898,"operation_count":13,"complexity_ratio":10838.307692307691,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2816,"base":6}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1898,"base":6}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2119,"base":6},"right_expr":{"type":"numeric_atoms","value":4374,"base":6}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1572,"base":6}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3494,"base":6},"right_expr":{"type":"numeric_atoms","value":6447,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2636,"base":6},"right_expr":{"type":"numeric_atoms","value":2697,"base":6}}}}},"used_operators":["2DlMacCsIx","vg4gO5BX6G","SLLxy00UIr","PxpmPgHHJV","IwW236VD4Y","QiR2Oyf5Xj","tXD093vOjl","5twsqlHp2o","mp94q5OcYM","8FLs4eVsLt","mp7IySMOzn","f6k1SAg4EE","BiWNJpBvwn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","7j4O788W3g","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛-53","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2816","layer":4},{"info":"compute unary expreesion, input=2816, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2816","layer":3},{"info":"compute unary expreesion, input=2816, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1898","layer":4},{"info":"compute unary expreesion, input=1898, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1898","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=4374","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=4374, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1898, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2019","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-2019, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1572","layer":4},{"info":"compute unary expreesion, input=1572, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-42722","layer":3},{"info":"compute unary expreesion, input=-42722, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=3494","layer":4},{"info":"number node, value=6447","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=6447, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9941","layer":3},{"info":"number node, value=2636","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=2697, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1751","layer":3},{"info":"compute binary expreesion, left_input=-9941, right_input=1751, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3502","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=3502, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-1980","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-1980, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-33","layer":0}],"base":6,"result_base":6,"text":"(⇈(↓⇌↹⩛21012))⊨(∷≠↹⩛12442)≠≀(↹⩛13451∖↹⩛32130)⩨(⨈⪑(≔↹⩛11140))⊢((↹⩛24102⪒↹⩛45503)⇷↹⩛20112⩍⋽⫝̸↹⩛20253)=↹⩛-53","reverse_text":"↹⩛-53=(⇈(↓⇌↹⩛21012))⊨(∷≠↹⩛12442)≠≀(↹⩛13451∖↹⩛32130)⩨(⨈⪑(≔↹⩛11140))⊢((↹⩛24102⪒↹⩛45503)⇷↹⩛20112⩍⋽⫝̸↹⩛20253)","cot":[{"info":"↓⇌↹⩛21012=↹⩛21012","layer":3},{"info":"⇈↹⩛21012=↹⩛-2023","layer":2},{"info":"∷≠↹⩛12442=↹⩛12442","layer":3},{"info":"↹⩛13451∖↹⩛32130=↹⩛0","layer":3},{"info":"↹⩛12442≠≀↹⩛0=↹⩛-13203","layer":2},{"info":"↹⩛-2023⊨↹⩛-13203=↹⩛-450","layer":1},{"info":"≔↹⩛11140=↹⩛-525442","layer":3},{"info":"⨈⪑↹⩛-525442=↹⩛4004","layer":2},{"info":"↹⩛24102⪒↹⩛45503=↹⩛-114005","layer":3},{"info":"↹⩛20112⩍⋽⫝̸↹⩛20253=↹⩛12035","layer":3},{"info":"↹⩛-114005⇷↹⩛12035=↹⩛24114","layer":2},{"info":"↹⩛4004⊢↹⩛24114=↹⩛-13100","layer":1},{"info":"↹⩛-450⩨↹⩛-13100=↹⩛-53","layer":0}]} +{"id":856,"expression_no_base_symbol":"∷≠(($5499$⇄$1845$)⇡⇂($6729$⊾⪯⋞$1768$)⊲⩕⊾(($2118$⋫)⨕⋳))","expression":"∷≠((↹⩛41243⇄↹⩛12313)⇡⇂(↹⩛51053⊾⪯⋞↹⩛12104)⊲⩕⊾((↹⩛13450⋫)⨕⋳))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19082,"operation_count":7,"complexity_ratio":2726.0,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5499,"base":6},"right_expr":{"type":"numeric_atoms","value":1845,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":6729,"base":6},"right_expr":{"type":"numeric_atoms","value":1768,"base":6}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2118,"base":6}}}}},"used_operators":["QiR2Oyf5Xj","DmTXOeWf9t","UMwdvZNt44","3EYGwJThht","HK0tfVPux8","4X4GscPmMf","JL8yIekQnl"],"dependent_operators":["7j4O788W3g","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","tmPS8pqC7x"],"result":"↹⩛-241512542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5499","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=5499, right_input=1845, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=6729","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=6729, right_input=1768, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3110","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3110, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":2},{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2118","layer":3},{"info":"compute unary expreesion, input=2118, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=106012","layer":2},{"info":"compute binary expreesion, left_input=219356, right_input=106012, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-4566446","layer":1},{"info":"compute unary expreesion, input=-4566446, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-4566446","layer":0}],"base":6,"result_base":6,"text":"∷≠((↹⩛41243⇄↹⩛12313)⇡⇂(↹⩛51053⊾⪯⋞↹⩛12104)⊲⩕⊾((↹⩛13450⋫)⨕⋳))=↹⩛-241512542","reverse_text":"↹⩛-241512542=∷≠((↹⩛41243⇄↹⩛12313)⇡⇂(↹⩛51053⊾⪯⋞↹⩛12104)⊲⩕⊾((↹⩛13450⋫)⨕⋳))","cot":[{"info":"↹⩛41243⇄↹⩛12313=↹⩛0","layer":3},{"info":"↹⩛51053⊾⪯⋞↹⩛12104=↹⩛22222","layer":3},{"info":"↹⩛0⇡⇂↹⩛22222=↹⩛4411312","layer":2},{"info":"↹⩛13450⋫=↹⩛13450","layer":3},{"info":"↹⩛13450⨕⋳=↹⩛2134444","layer":2},{"info":"↹⩛4411312⊲⩕⊾↹⩛2134444=↹⩛-241512542","layer":1},{"info":"∷≠↹⩛-241512542=↹⩛-241512542","layer":0}]} +{"id":857,"expression_no_base_symbol":"(⇺⋃(⨙⪌$4377$))≎⪠(⇙⪊($6989$≠≀$3512$))↓⨍⋜","expression":"(⇺⋃(⨙⪌↹⩛32133))≎⪠(⇙⪊(↹⩛52205≠≀↹⩛24132))↓⨍⋜","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":613240,"operation_count":6,"complexity_ratio":102206.66666666667,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":4377,"base":6}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6989,"base":6},"right_expr":{"type":"numeric_atoms","value":3512,"base":6}}}}},"used_operators":["3DVzLFNsE9","aNhz54LH3e","E5v5B3UAjG","vEGLkm4Z2k","pB6Fcnrjim","IwW236VD4Y"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"↹⩛50302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4377","layer":4},{"info":"compute unary expreesion, input=4377, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=3869","layer":2},{"info":"number node, value=6989","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=6989, right_input=3512, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-13672","layer":3},{"info":"compute unary expreesion, input=-13672, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3869, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":0}],"base":6,"result_base":6,"text":"(⇺⋃(⨙⪌↹⩛32133))≎⪠(⇙⪊(↹⩛52205≠≀↹⩛24132))↓⨍⋜=↹⩛50302","reverse_text":"↹⩛50302=(⇺⋃(⨙⪌↹⩛32133))≎⪠(⇙⪊(↹⩛52205≠≀↹⩛24132))↓⨍⋜","cot":[{"info":"⨙⪌↹⩛32133=↹⩛4004","layer":3},{"info":"⇺⋃↹⩛4004=↹⩛25525","layer":2},{"info":"↹⩛52205≠≀↹⩛24132=↹⩛-143144","layer":3},{"info":"⇙⪊↹⩛-143144=↹⩛0","layer":2},{"info":"↹⩛25525≎⪠↹⩛0=↹⩛230314","layer":1},{"info":"↹⩛230314↓⨍⋜=↹⩛50302","layer":0}]} +{"id":858,"expression_no_base_symbol":"⨈⫕(↡(($1419$⋥≓≎$1863$)∼$2398$⊢$2149$))","expression":"⨈⫕(↡((↹⩛10323⋥≓≎↹⩛12343)∼↹⩛15034⊢↹⩛13541))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":479,"operation_count":5,"complexity_ratio":95.8,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1419,"base":6},"right_expr":{"type":"numeric_atoms","value":1863,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2398,"base":6},"right_expr":{"type":"numeric_atoms","value":2149,"base":6}}}}},"used_operators":["megm06wKyl","MXaNJeIAZ3","DyGG3AbaNP","Qy55tPpLXF","5twsqlHp2o"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1419","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1863, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2340","layer":3},{"info":"number node, value=2398","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=2149, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5040","layer":3},{"info":"compute binary expreesion, left_input=2340, right_input=-5040, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772��⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":6,"result_base":6,"text":"⨈⫕(↡((↹⩛10323⋥≓≎↹⩛12343)∼↹⩛15034⊢↹⩛13541))=↹⩛-33","reverse_text":"↹⩛-33=⨈⫕(↡((↹⩛10323⋥≓≎↹⩛12343)∼↹⩛15034⊢↹⩛13541))","cot":[{"info":"↹⩛10323⋥≓≎↹⩛12343=↹⩛14500","layer":3},{"info":"↹⩛15034⊢↹⩛13541=↹⩛-35200","layer":3},{"info":"↹⩛14500∼↹⩛-35200=NaN","layer":2},{"info":"↡NaN=NaN","layer":1},{"info":"⨈⫕NaN=↹⩛-33","layer":0}]} +{"id":859,"expression_no_base_symbol":"(⫖→$2198$⪨⊡$2887$⫥∨⫟$1025$⇡⇂$1438$)⪮%⊝($1069$∘$6113$-$1061$⫞⩸⩒$2953$)∊∟⩊(⪁⇼($3580$∠↢$6933$))","expression":"(⫖→↹⩛14102⪨⊡↹⩛21211⫥∨⫟↹⩛4425⇡⇂↹⩛10354)⪮%⊝(↹⩛4541∘↹⩛44145-↹⩛4525⫞⩸⩒↹⩛21401)∊∟⩊(⪁⇼(↹⩛24324∠↢↹⩛52033))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9389,"operation_count":11,"complexity_ratio":853.5454545454545,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2198,"base":6},"right_expr":{"type":"numeric_atoms","value":2887,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1025,"base":6},"right_expr":{"type":"numeric_atoms","value":1438,"base":6}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1069,"base":6},"right_expr":{"type":"numeric_atoms","value":6113,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1061,"base":6},"right_expr":{"type":"numeric_atoms","value":2953,"base":6}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3580,"base":6},"right_expr":{"type":"numeric_atoms","value":6933,"base":6}}}}},"used_operators":["IWmyXbctLI","U4ylXWHChL","KYD54nUTWz","kuIXHzHcAH","UMwdvZNt44","ddLRYrp01A","rysDP5nf3Z","Z5m6OM72h2","XGcMNugi78","ZNVVrZ94lY","KbjG8mgYpV"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","8HhzD0ZcuI","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eH2TOUuTDT","rysDP5nf3Z","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"↹⩛3034","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2198","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=2887, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1438, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=1069","layer":4},{"info":"number node, value=6113","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=6113, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2138","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2953, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2953","layer":3},{"info":"compute binary expreesion, left_input=2138, right_input=2953, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-815","layer":2},{"info":"number node, value=3580","layer":4},{"info":"number node, value=6933","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=6933, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-110300","layer":3},{"info":"compute unary expreesion, input=-110300, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-815, right_input=422, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=422","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=422, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=670","layer":0}],"base":6,"result_base":6,"text":"(⫖→↹⩛14102⪨⊡↹⩛21211⫥∨⫟↹⩛4425⇡⇂↹⩛10354)⪮%⊝(↹⩛4541∘↹⩛44145-↹⩛4525⫞⩸⩒↹⩛21401)∊∟⩊(⪁⇼(↹⩛24324∠↢↹⩛52033))=↹⩛3034","reverse_text":"↹⩛3034=(⫖→↹⩛14102⪨⊡↹⩛21211⫥∨⫟↹⩛4425⇡⇂↹⩛10354)⪮%⊝(↹⩛4541∘↹⩛44145-↹⩛4525⫞⩸⩒↹⩛21401)∊∟⩊(⪁⇼(↹⩛24324∠↢↹⩛52033))","cot":[{"info":"↹⩛14102⪨⊡↹⩛21211=↹⩛0","layer":3},{"info":"↹⩛4425⇡⇂↹⩛10354=NaN","layer":3},{"info":"↹⩛0⫥∨⫟NaN=NaN","layer":2},{"info":"⫖→NaN=↹⩛453","layer":1},{"info":"↹⩛4541∘↹⩛44145=↹⩛13522","layer":3},{"info":"↹⩛4525⫞⩸⩒↹⩛21401=↹⩛21401","layer":3},{"info":"↹⩛13522-↹⩛21401=↹⩛-3435","layer":2},{"info":"↹⩛24324∠↢↹⩛52033=↹⩛-2210352","layer":3},{"info":"⪁⇼↹⩛-2210352=↹⩛1542","layer":2},{"info":"↹⩛-3435∊∟⩊↹⩛1542=↹⩛1542","layer":1},{"info":"↹⩛453⪮%⊝↹⩛1542=↹⩛3034","layer":0}]} +{"id":860,"expression_no_base_symbol":"($2111$∥⊢⊲$5228$⊅)⩘($3917$≹⇙⪍$1253$)⫗⊷⫓(⩒∊$5452$)⫃⨇((⋼∭⪍$3740$)⇻⋧≁(≛$1059$)∧)","expression":"(↹⩛13435∥⊢⊲↹⩛40112⊅)⩘(↹⩛30045≹⇙⪍↹⩛5445)⫗⊷⫓(⩒∊↹⩛41124)⫃⨇((⋼∭⪍↹⩛25152)⇻⋧≁(≛↹⩛4523)∧)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":87796,"operation_count":11,"complexity_ratio":7981.454545454545,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2111,"base":6},"right_expr":{"type":"numeric_atoms","value":5228,"base":6}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3917,"base":6},"right_expr":{"type":"numeric_atoms","value":1253,"base":6}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":5452,"base":6}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3740,"base":6}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1059,"base":6}}}}},"used_operators":["09Ly4LVMIf","cHh1gJQ2o6","7p6YLioM7f","v1UQAVDJRr","zashukvMKz","AHs5Up7iyr","qazvmhNBbN","z63VuFQld9","jCPkEVoL5K","DbCuESL50I","W7eaUhjymW"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","EBcxylXtPf","rGHVDoGpnC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"↹⩛-52","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2111","layer":4},{"info":"number node, value=5228","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=5228, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"number node, value=3917","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=1253, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5452","layer":4},{"info":"compute unary expreesion, input=5452, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=10147","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10147, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=16947, right_input=-134, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=3740","layer":4},{"info":"compute unary expreesion, input=3740, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-13220","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-13220, right_input=-10, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-32","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13435∥⊢⊲↹⩛40112⊅)⩘(↹⩛30045≹⇙⪍↹⩛5445)⫗⊷⫓(⩒∊↹⩛41124)⫃⨇((⋼∭⪍↹⩛25152)⇻⋧≁(≛↹⩛4523)∧)=↹⩛-52","reverse_text":"↹⩛-52=(↹⩛13435∥⊢⊲↹⩛40112⊅)⩘(↹⩛30045≹⇙⪍↹⩛5445)⫗⊷⫓(⩒∊↹⩛41124)⫃⨇((⋼∭⪍↹⩛25152)⇻⋧≁(≛↹⩛4523)∧)","cot":[{"info":"↹⩛13435∥⊢⊲↹⩛40112=NaN","layer":3},{"info":"NaN⊅=↹⩛210243","layer":2},{"info":"↹⩛30045≹⇙⪍↹⩛5445=NaN","layer":3},{"info":"⩒∊↹⩛41124=↹⩛114551","layer":3},{"info":"NaN⫗⊷⫓↹⩛114551=↹⩛-342","layer":2},{"info":"↹⩛210243⩘↹⩛-342=↹⩛424","layer":1},{"info":"⋼∭⪍↹⩛25152=↹⩛-141112","layer":3},{"info":"≛↹⩛4523=↹⩛-14","layer":3},{"info":"↹⩛-141112⇻⋧≁↹⩛-14=↹⩛0","layer":2},{"info":"↹⩛0∧=↹⩛0","layer":1},{"info":"↹⩛424⫃⨇↹⩛0=↹⩛-52","layer":0}]} +{"id":861,"expression_no_base_symbol":"((⊁⨺(⋗⩬⋾$1471$))↬(($3181$↦)↛⩡⫤))∣(($3080$/$1486$)⊬⨰(⊁⨺$5008$)⩒⫫((⨙⪌$2805$)⊉≛↸$3526$⨚⇆$1941$))","expression":"((⊁⨺(⋗⩬⋾↹⩛10451))↬((↹⩛22421↦)↛⩡⫤))∣((↹⩛22132/↹⩛10514)⊬⨰(⊁⨺↹⩛35104)⩒⫫((⨙⪌↹⩛20553)⊉≛↸↹⩛24154⨚⇆↹⩛12553))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":253872,"operation_count":13,"complexity_ratio":19528.615384615383,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1471,"base":6}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":3181,"base":6}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3080,"base":6},"right_expr":{"type":"numeric_atoms","value":1486,"base":6}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":5008,"base":6}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2805,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3526,"base":6},"right_expr":{"type":"numeric_atoms","value":1941,"base":6}}}}},"used_operators":["PPChnnnBFF","B5M0gjZbta","PxiHyQbrIp","DpFCA1CohY","FU0Cs4j7VP","fFznvYxMfW","KFSx94NKJn","s3Fd5m9Dh2","XhwjNDsVaA","DZ8iAZOCBD","vEGLkm4Z2k","lwHaAYXP2r"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4413","layer":3},{"info":"compute unary expreesion, input=-4413, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-30108","layer":2},{"info":"number node, value=3181","layer":4},{"info":"compute unary expreesion, input=3181, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30108, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3080","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=1486, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=5008","layer":4},{"info":"compute unary expreesion, input=5008, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=160, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=644","layer":2},{"info":"number node, value=2805","layer":4},{"info":"compute unary expreesion, input=2805, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=3526","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=1941, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1736","layer":2},{"info":"compute binary expreesion, left_input=644, right_input=1736, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=342","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=342, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⊁⨺(⋗⩬⋾↹⩛10451))↬((↹⩛22421↦)↛⩡⫤))∣((↹⩛22132/↹⩛10514)⊬⨰(⊁⨺↹⩛35104)⩒⫫((⨙⪌↹⩛20553)⊉≛↸↹⩛24154⨚⇆↹⩛12553))=NaN","reverse_text":"NaN=((⊁⨺(⋗⩬⋾↹⩛10451))↬((↹⩛22421↦)↛⩡⫤))∣((↹⩛22132/↹⩛10514)⊬⨰(⊁⨺↹⩛35104)⩒⫫((⨙⪌↹⩛20553)⊉≛↸↹⩛24154⨚⇆↹⩛12553))","cot":[{"info":"⋗⩬⋾↹⩛10451=↹⩛-32233","layer":3},{"info":"⊁⨺↹⩛-32233=↹⩛-351220","layer":2},{"info":"↹⩛22421↦=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"↹⩛-351220↬NaN=NaN","layer":1},{"info":"↹⩛22132/↹⩛10514=↹⩛2","layer":3},{"info":"⊁⨺↹⩛35104=↹⩛424","layer":3},{"info":"↹⩛2⊬⨰↹⩛424=↹⩛2552","layer":2},{"info":"⨙⪌↹⩛20553=↹⩛4004","layer":3},{"info":"↹⩛24154⨚⇆↹⩛12553=NaN","layer":3},{"info":"↹⩛4004⊉≛↸NaN=↹⩛12012","layer":2},{"info":"↹⩛2552��⫫↹⩛12012=↹⩛1330","layer":1},{"info":"NaN∣↹⩛1330=NaN","layer":0}]} +{"id":862,"expression_no_base_symbol":"⫡⇟⇯((≱⇩⩕(↴⪽⋼$6725$))⨰($1471$∛$2683$⪭≯(⊙↵-$1356$)))","expression":"⫡⇟⇯((≱⇩⩕(↴⪽⋼↹⩛51045))⨰(↹⩛10451∛↹⩛20231⪭≯(⊙↵-↹⩛10140)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10075,"operation_count":7,"complexity_ratio":1439.2857142857142,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":6725,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1471,"base":6},"right_expr":{"type":"numeric_atoms","value":2683,"base":6}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1356,"base":6}}}}},"used_operators":["qWUSsah53b","eewbuw0ToL","3DZMoQKiUl","5TUYCnJO6w","XAx5wpdLa6","w2537kitQq","oWn0xqSxBt"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6725","layer":4},{"info":"compute unary expreesion, input=6725, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=6725","layer":3},{"info":"compute unary expreesion, input=6725, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=1471","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=2683, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-1, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫡⇟⇯((≱⇩⩕(↴⪽⋼↹⩛51045))⨰(↹⩛10451∛↹⩛20231⪭≯(⊙↵-↹⩛10140)))=NaN","reverse_text":"NaN=⫡⇟⇯((≱⇩⩕(↴⪽⋼↹⩛51045))⨰(↹⩛10451∛↹⩛20231⪭≯(⊙↵-↹⩛10140)))","cot":[{"info":"↴⪽⋼↹⩛51045=↹⩛51045","layer":3},{"info":"≱⇩⩕↹⩛51045=↹⩛305","layer":2},{"info":"↹⩛10451∛↹⩛20231=↹⩛-3034","layer":3},{"info":"⊙↵-↹⩛10140=↹⩛-1","layer":3},{"info":"↹⩛-3034⪭≯↹⩛-1=NaN","layer":2},{"info":"↹⩛305⨰NaN=NaN","layer":1},{"info":"⫡⇟⇯NaN=NaN","layer":0}]} +{"id":863,"expression_no_base_symbol":"(⩩($3953$⨰$1405$≓∲(⇠$2852$)))∊∟⩊((↔$3024$)⊉↱≁($1319$≳⇉$6028$)⩁)","expression":"(⩩(↹⩛30145⨰↹⩛10301≓∲(⇠↹⩛21112)))∊∟⩊((↔↹⩛22000)⊉↱≁(↹⩛10035≳⇉↹⩛43524)⩁)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":524886187,"operation_count":9,"complexity_ratio":58320687.44444445,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3953,"base":6},"right_expr":{"type":"numeric_atoms","value":1405,"base":6}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2852,"base":6}}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3024,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1319,"base":6},"right_expr":{"type":"numeric_atoms","value":6028,"base":6}}}}},"used_operators":["ddLRYrp01A","kMhfGuqI2H","s1XTVnmDOJ","eewbuw0ToL","18saOjeKKm","5GqDbVmqXU","w2P8NbNXyL","ruOEQAzv1W","V0kx6qeWkN"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3953","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=3953, right_input=1405, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2558","layer":3},{"info":"number node, value=2852","layer":4},{"info":"compute unary expreesion, input=2852, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2610","layer":3},{"info":"compute binary expreesion, left_input=2558, right_input=-2610, 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=-53225","layer":2},{"info":"compute unary expreesion, input=-53225, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=3024","layer":4},{"info":"compute unary expreesion, input=3024, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2751","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=6028","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=6028, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2751, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩩(↹⩛30145⨰↹⩛10301≓∲(⇠↹⩛21112)))∊∟⩊((↔↹⩛22000)⊉↱≁(↹⩛10035≳⇉↹⩛43524)⩁)=NaN","reverse_text":"NaN=(⩩(↹⩛30145⨰↹⩛10301≓∲(⇠↹⩛21112)))∊∟⩊((↔↹⩛22000)⊉↱≁(↹⩛10035≳⇉↹⩛43524)⩁)","cot":[{"info":"↹⩛30145⨰↹⩛10301=↹⩛15502","layer":3},{"info":"⇠↹⩛21112=↹⩛-20030","layer":3},{"info":"↹⩛15502≓∲↹⩛-20030=↹⩛-1050225","layer":2},{"info":"⩩↹⩛-1050225=NaN","layer":1},{"info":"↔↹⩛22000=↹⩛-20423","layer":3},{"info":"↹⩛10035≳⇉↹⩛43524=NaN","layer":3},{"info":"↹⩛-20423⊉↱≁NaN=NaN","layer":2},{"info":"NaN⩁=NaN","layer":1},{"info":"NaN∊∟⩊NaN=NaN","layer":0}]} +{"id":864,"expression_no_base_symbol":"((≅≯⇸$2017$⪭$1330$)⫸⊐($1546$⨻⩈⩔$3355$)⨜⨶($3187$⊭↱$1501$))⨭⪣(($2821$⨝⩣∺)+⇶⊼$2855$⩍⋽⫝̸$1630$)⩌⋺(($5350$⨁⊸⫻)+⪬∐($1649$∌↝$5539$))","expression":"((≅≯⇸↹⩛13201⪭↹⩛10054)⫸⊐(↹⩛11054⨻⩈⩔↹⩛23311)⨜⨶(↹⩛22431⊭↱↹⩛10541))⨭⪣((↹⩛21021⨝⩣∺)+⇶⊼↹⩛21115⩍⋽⫝̸↹⩛11314)⩌⋺((↹⩛40434⨁⊸⫻)+⪬∐(↹⩛11345∌↝↹⩛41351))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":255,"operation_count":14,"complexity_ratio":18.214285714285715,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2017,"base":6},"right_expr":{"type":"numeric_atoms","value":1330,"base":6}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1546,"base":6},"right_expr":{"type":"numeric_atoms","value":3355,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3187,"base":6},"right_expr":{"type":"numeric_atoms","value":1501,"base":6}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨝⩣���","unary_expr":{"type":"numeric_atoms","value":2821,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2855,"base":6},"right_expr":{"type":"numeric_atoms","value":1630,"base":6}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5350,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1649,"base":6},"right_expr":{"type":"numeric_atoms","value":5539,"base":6}}}}},"used_operators":["kn8WO9XteQ","mqXw5SEYmG","apS25hmuAe","j9kHMeSvPp","HiPekx5b7W","nEsXyWgiOK","COABgblf1C","g7Hmc5v1ko","TpPTUOHfaN","ancx8kZcWl","BiWNJpBvwn","2GS7woTJqF","glklzrTFfD","9Isq31Ruls"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","EBcxylXtPf","QMFrweE19q","COABgblf1C","xUOZtlo3hN","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","DZ8iAZOCBD","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2017","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=1330, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7697","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=3355, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3967","layer":3},{"info":"number node, value=3187","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=1501, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3367","layer":3},{"info":"compute binary expreesion, left_input=3967, right_input=-3367, 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=20251","layer":2},{"info":"compute binary expreesion, left_input=7697, right_input=20251, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=80879","layer":1},{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-5642","layer":3},{"info":"number node, value=2855","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=1630, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=684","layer":3},{"info":"compute binary expreesion, left_input=-5642, right_input=684, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5350","layer":4},{"info":"compute unary expreesion, input=5350, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5350","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=5539","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=5539, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5350, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-16050","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16050, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=80879, 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":6,"result_base":6,"text":"((≅≯⇸↹⩛13201⪭↹⩛10054)⫸⊐(↹⩛11054⨻⩈⩔↹⩛23311)⨜⨶(↹⩛22431⊭↱↹⩛10541))⨭⪣((↹⩛21021⨝⩣∺)+⇶⊼↹⩛21115⩍⋽⫝̸↹⩛11314)⩌⋺((↹⩛40434⨁⊸⫻)+⪬∐(↹⩛11345∌↝↹⩛41351))=↹⩛-33","reverse_text":"↹⩛-33=((≅≯⇸↹⩛13201⪭↹⩛10054)⫸⊐(↹⩛11054⨻⩈⩔↹⩛23311)⨜⨶(↹⩛22431⊭↱↹⩛10541))⨭⪣((↹⩛21021⨝⩣∺)+⇶⊼↹⩛21115⩍⋽⫝̸↹⩛11314)⩌⋺((↹⩛40434⨁⊸⫻)+⪬∐(↹⩛11345∌↝↹⩛41351))","cot":[{"info":"↹⩛13201⪭↹⩛10054=↹⩛5","layer":3},{"info":"≅≯⇸↹⩛5=↹⩛55345","layer":2},{"info":"↹⩛11054⨻⩈⩔↹⩛23311=↹⩛30211","layer":3},{"info":"↹⩛22431⊭↱↹⩛10541=↹⩛-23331","layer":3},{"info":"↹⩛30211⨜⨶↹⩛-23331=↹⩛233431","layer":2},{"info":"↹⩛55345⫸⊐↹⩛233431=↹⩛1422235","layer":1},{"info":"↹⩛21021⨝⩣∺=↹⩛-42042","layer":3},{"info":"↹⩛21115⩍⋽⫝̸↹⩛11314=↹⩛3100","layer":3},{"info":"↹⩛-42042+⇶⊼↹⩛3100=NaN","layer":2},{"info":"↹⩛40434⨁⊸⫻=↹⩛40434","layer":3},{"info":"↹⩛11345∌↝↹⩛41351=↹⩛0","layer":3},{"info":"↹⩛40434+⪬∐↹⩛0=↹⩛-202150","layer":2},{"info":"NaN⩌⋺↹⩛-202150=NaN","layer":1},{"info":"↹⩛1422235⨭⪣NaN=↹⩛-33","layer":0}]} +{"id":865,"expression_no_base_symbol":"≪(↽≂($1618$⪛⫼$1910$)⊕∕($1016$↳≱$2072$))","expression":"≪(↽≂(↹⩛11254⪛⫼↹⩛12502)⊕∕(↹⩛4412↳≱↹⩛13332))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":243,"operation_count":5,"complexity_ratio":48.6,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1618,"base":6},"right_expr":{"type":"numeric_atoms","value":1910,"base":6}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1016,"base":6},"right_expr":{"type":"numeric_atoms","value":2072,"base":6}}}}},"used_operators":["Qtd6bqUJcN","u6S6b8DprG","9cloC0Ngie","hyuBjUqXlG","JwTKLfZU96"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"↹⩛254543","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1910, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2072, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-1936","layer":1},{"info":"compute unary expreesion, input=-1936, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=23103","layer":0}],"base":6,"result_base":6,"text":"≪(↽≂(↹⩛11254⪛⫼↹⩛12502)⊕∕(↹⩛4412↳≱↹⩛13332))=↹⩛254543","reverse_text":"↹⩛254543=≪(↽≂(↹⩛11254⪛⫼↹⩛12502)⊕∕(↹⩛4412↳≱↹⩛13332))","cot":[{"info":"↹⩛11254⪛⫼↹⩛12502=↹⩛4252","layer":3},{"info":"↹⩛4412↳≱↹⩛13332=↹⩛0","layer":3},{"info":"↹⩛4252⊕∕↹⩛0=↹⩛4252","layer":2},{"info":"↽≂↹⩛4252=↹⩛-12544","layer":1},{"info":"≪↹⩛-12544=↹⩛254543","layer":0}]} +{"id":866,"expression_no_base_symbol":"(($1710$⋅⇍$9731$)⋛$3575$⪔⊥$2488$)⪎↠($1234$⩇∃⫛$2925$⋷$2619$⪭$2498$)⪘⫢($3094$∋$5300$⪮%⊝($1010$⨑≵⋬$2408$)⪔(($1115$⪨≂$2527$)↙$8109$⇷$1533$))","expression":"((↹⩛11530⋅⇍↹⩛113015)⋛↹⩛24315⪔⊥↹⩛15304)⪎↠(↹⩛5414⩇∃⫛↹⩛21313⋷↹⩛20043⪭↹⩛15322)⪘⫢(↹⩛22154∋↹⩛40312⪮%⊝(↹⩛4402⨑≵⋬↹⩛15052)⪔((↹⩛5055⪨≂↹⩛15411)↙↹⩛101313⇷↹⩛11033))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":116819,"operation_count":15,"complexity_ratio":7787.933333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1710,"base":6},"right_expr":{"type":"numeric_atoms","value":9731,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3575,"base":6},"right_expr":{"type":"numeric_atoms","value":2488,"base":6}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1234,"base":6},"right_expr":{"type":"numeric_atoms","value":2925,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2619,"base":6},"right_expr":{"type":"numeric_atoms","value":2498,"base":6}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3094,"base":6},"right_expr":{"type":"numeric_atoms","value":5300,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1010,"base":6},"right_expr":{"type":"numeric_atoms","value":2408,"base":6}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1115,"base":6},"right_expr":{"type":"numeric_atoms","value":2527,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8109,"base":6},"right_expr":{"type":"numeric_atoms","value":1533,"base":6}}}}},"used_operators":["oacrs7FA3X","3tVxb0NHM4","YbUVn0Rbpy","AdZkA7nFnk","HJ9erzHUuu","23Mk6UjR3U","1aApVXNlOP","j9kHMeSvPp","GjBEYRfMaF","IWmyXbctLI","ukq6epAj5P","XnXgA4xnOs","yyfyN0ffXY","sdazOOVcIp","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":4},{"info":"number node, value=9731","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=9731, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=3575","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=2488, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9125","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=9125, 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=-123984","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=2925, 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=2164","layer":3},{"info":"number node, value=2619","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=2498, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=2164, right_input=5, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2154","layer":2},{"info":"compute binary expreesion, left_input=-123984, right_input=-2154, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"number node, value=3094","layer":4},{"info":"number node, value=5300","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=5300, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=11088816","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2408, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-10427","layer":3},{"info":"compute binary expreesion, left_input=11088816, right_input=-10427, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=22177948","layer":2},{"info":"number node, value=1115","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2527, 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=-2722","layer":3},{"info":"number node, value=8109","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=8109, right_input=1533, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3066","layer":3},{"info":"compute binary expreesion, left_input=-2722, right_input=3066, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2722","layer":2},{"info":"compute binary expreesion, left_input=22177948, right_input=-2722, 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=-55, right_input=450, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11530⋅⇍↹⩛113015)⋛↹⩛24315⪔⊥↹⩛15304)⪎↠(↹⩛5414⩇∃⫛↹⩛21313⋷↹⩛20043⪭↹⩛15322)⪘⫢(↹⩛22154∋↹⩛40312⪮%⊝(↹⩛4402⨑≵⋬↹⩛15052)⪔((↹⩛5055⪨≂↹⩛15411)↙↹⩛101313⇷↹⩛11033))=↹⩛0","reverse_text":"↹⩛0=((↹⩛11530⋅⇍↹⩛113015)⋛↹⩛24315⪔⊥↹⩛15304)⪎↠(↹⩛5414⩇∃⫛↹⩛21313⋷↹⩛20043⪭↹⩛15322)⪘⫢(↹⩛22154∋↹⩛40312⪮%⊝(↹⩛4402⨑≵⋬↹⩛15052)⪔((↹⩛5055⪨≂↹⩛15411)↙↹⩛101313⇷↹⩛11033))","cot":[{"info":"↹⩛11530⋅⇍↹⩛113015=↹⩛-34","layer":3},{"info":"↹⩛24315⪔⊥↹⩛15304=↹⩛110125","layer":3},{"info":"↹⩛-34⋛↹⩛110125=↹⩛-2354000","layer":2},{"info":"↹⩛5414⩇∃⫛↹⩛21313=↹⩛14004","layer":3},{"info":"↹⩛20043⪭↹⩛15322=↹⩛5","layer":3},{"info":"↹⩛14004⋷↹⩛5=↹⩛-13550","layer":2},{"info":"↹⩛-2354000⪎↠↹⩛-13550=↹⩛-131","layer":1},{"info":"↹⩛22154∋↹⩛40312=↹⩛1033401040","layer":3},{"info":"↹⩛4402⨑≵⋬↹⩛15052=↹⩛-120135","layer":3},{"info":"↹⩛1033401040⪮%⊝↹⩛-120135=↹⩛2111203404","layer":2},{"info":"↹⩛5055⪨≂↹⩛15411=↹⩛-20334","layer":3},{"info":"↹⩛101313⇷↹⩛11033=↹⩛22110","layer":3},{"info":"↹⩛-20334↙↹⩛22110=↹⩛-20334","layer":2},{"info":"↹⩛2111203404⪔↹⩛-20334=↹⩛2030","layer":1},{"info":"↹⩛-131⪘⫢↹⩛2030=↹⩛0","layer":0}]} +{"id":867,"expression_no_base_symbol":"(((⫇$2935$)∷$1420$⩚⊴⇥$2577$)⨑⩅≇(($2013$⨝⩣∺)⋆⋳))⇡⇂((⨑⩽⪐(⪸$4761$))⫩⊇)","expression":"(((⫇↹⩛21331)∷↹⩛10324⩚⊴⇥↹⩛15533)⨑⩅≇((↹⩛13153⨝⩣∺)⋆⋳))⇡⇂((⨑⩽⪐(⪸↹⩛34013))⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":887970,"operation_count":10,"complexity_ratio":88797.0,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2935,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1420,"base":6},"right_expr":{"type":"numeric_atoms","value":2577,"base":6}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2013,"base":6}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4761,"base":6}}}}},"used_operators":["UMwdvZNt44","h92wMvzauj","D3AQDKkPcf","YjI8oCXuph","NTOWxs364D","6MpZysEj17","ancx8kZcWl","BjRHVeLaeN","AF7qkfDlqP","86A5ENbKR9"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","DZ8iAZOCBD","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2935","layer":4},{"info":"compute unary expreesion, input=2935, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4656","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=2577, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4118","layer":3},{"info":"compute binary expreesion, left_input=-4656, right_input=-4118, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3862","layer":2},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4026","layer":3},{"info":"compute unary expreesion, input=-4026, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=8020","layer":2},{"info":"compute binary expreesion, left_input=3862, right_input=8020, 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=-11586","layer":1},{"info":"number node, value=4761","layer":4},{"info":"compute unary expreesion, input=4761, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-80728","layer":3},{"info":"compute unary expreesion, input=-80728, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=162245","layer":2},{"info":"compute unary expreesion, input=162245, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-162203","layer":1},{"info":"compute binary expreesion, left_input=-11586, right_input=-162203, 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":6,"result_base":6,"text":"(((⫇↹⩛21331)∷↹⩛10324⩚⊴⇥↹⩛15533)⨑⩅≇((↹⩛13153⨝⩣∺)⋆⋳))⇡⇂((⨑⩽⪐(⪸↹⩛34013))⫩⊇)=NaN","reverse_text":"NaN=(((⫇↹⩛21331)∷↹⩛10324⩚⊴⇥↹⩛15533)⨑⩅≇((↹⩛13153⨝⩣∺)⋆⋳))⇡⇂((⨑⩽⪐(⪸↹⩛34013))⫩⊇)","cot":[{"info":"⫇↹⩛21331=↹⩛-33320","layer":3},{"info":"↹⩛10324⩚⊴⇥↹⩛15533=↹⩛-31022","layer":3},{"info":"↹⩛-33320∷↹⩛-31022=↹⩛25514","layer":2},{"info":"↹⩛13153⨝⩣∺=↹⩛-30350","layer":3},{"info":"↹⩛-30350⋆⋳=↹⩛101044","layer":2},{"info":"↹⩛25514⨑⩅≇↹⩛101044=↹⩛-125350","layer":1},{"info":"⪸↹⩛34013=↹⩛-1421424","layer":3},{"info":"⨑⩽⪐↹⩛-1421424=↹⩛3251045","layer":2},{"info":"↹⩛3251045⫩⊇=↹⩛-3250535","layer":1},{"info":"↹⩛-125350⇡⇂↹⩛-3250535=NaN","layer":0}]} +{"id":868,"expression_no_base_symbol":"(⋠∜(⇖($4538$↙$5216$)))⩍⋽⫝̸(((⇵⪽$4564$)⊾⪯⋞$1451$⇮⋭$1132$)∌↝($3639$⋾⨃∁$1008$)∓⋝($1371$⩷∴$7322$))","expression":"(⋠∜(⇖(↹⩛33002↙↹⩛40052)))⩍⋽⫝̸(((⇵⪽↹⩛33044)⊾⪯⋞↹⩛10415⇮⋭↹⩛5124)∌↝(↹⩛24503⋾⨃∁↹⩛4400)∓⋝(↹⩛10203⩷∴↹⩛53522))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6446,"operation_count":11,"complexity_ratio":586.0,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4538,"base":6},"right_expr":{"type":"numeric_atoms","value":5216,"base":6}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":4564,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1451,"base":6},"right_expr":{"type":"numeric_atoms","value":1132,"base":6}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3639,"base":6},"right_expr":{"type":"numeric_atoms","value":1008,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1371,"base":6},"right_expr":{"type":"numeric_atoms","value":7322,"base":6}}}}},"used_operators":["BiWNJpBvwn","ZJpFhNJr3x","tfWHHpNKUN","yyfyN0ffXY","9Isq31Ruls","HK0tfVPux8","ZGCBLdVRRX","vkpjKywKVM","PoHhknlbAi","212REbPD9h","9FxExcQeMw"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","2DQ55sFlQl","tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","U7g4x0WXJJ","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4538","layer":4},{"info":"number node, value=5216","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=5216, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15648","layer":3},{"info":"compute unary expreesion, input=-15648, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2924","layer":1},{"info":"number node, value=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1132, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=3639","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=1008, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10148450","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=7322","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=7322, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11934","layer":3},{"info":"compute binary expreesion, left_input=10148450, right_input=-11934, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2924, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋠∜(⇖(↹⩛33002↙↹⩛40052)))⩍⋽⫝̸(((⇵⪽↹⩛33044)⊾⪯⋞↹⩛10415⇮⋭↹⩛5124)∌↝(↹⩛24503⋾⨃∁↹⩛4400)∓⋝(↹⩛10203⩷∴↹⩛53522))=NaN","reverse_text":"NaN=(⋠∜(⇖(↹⩛33002↙↹⩛40052)))⩍⋽⫝̸(((⇵⪽↹⩛33044)⊾⪯⋞↹⩛10415⇮⋭↹⩛5124)∌↝(↹⩛24503⋾⨃∁↹⩛4400)∓⋝(↹⩛10203⩷∴↹⩛53522))","cot":[{"info":"↹⩛33002↙↹⩛40052=↹⩛-200240","layer":3},{"info":"⇖↹⩛-200240=↹⩛424","layer":2},{"info":"⋠∜↹⩛424=↹⩛21312","layer":1},{"info":"⇵⪽↹⩛33044=NaN","layer":3},{"info":"↹⩛10415⇮⋭↹⩛5124=↹⩛-2105","layer":3},{"info":"NaN⊾⪯⋞↹⩛-2105=NaN","layer":2},{"info":"↹⩛24503⋾⨃∁↹⩛4400=↹⩛1001303322","layer":3},{"info":"↹⩛10203⩷∴↹⩛53522=↹⩛-131130","layer":3},{"info":"↹⩛1001303322∓⋝↹⩛-131130=↹⩛151","layer":2},{"info":"NaN∌↝↹⩛151=NaN","layer":1},{"info":"↹⩛21312⩍⋽⫝̸NaN=NaN","layer":0}]} +{"id":869,"expression_no_base_symbol":"⇘((⪫⨮⊛$2377$)⩘)⫁((⇤←$2340$)≥⨤⩑(⫖→$1345$))","expression":"⇘((⪫⨮⊛↹⩛15001)⩘)⫁((⇤←↹⩛14500)≥⨤⩑(⫖→↹⩛10121))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1432754,"operation_count":7,"complexity_ratio":204679.14285714287,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2377,"base":6}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2340,"base":6}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1345,"base":6}}}}},"used_operators":["MGuIdZPyUC","0ajvFaJAv0","wvHyciQT5X","w5FWba1tyO","gJLn6v0xnP","jfAgQ2OQeM","U4ylXWHChL"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","9ICcGScMcE","dfKe02y8D2","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"↹⩛-30350051","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-10334","layer":3},{"info":"number node, value=1345","layer":4},{"info":"compute unary expreesion, input=1345, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-10334, right_input=177, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1234, 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 = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-869647","layer":0}],"base":6,"result_base":6,"text":"⇘((⪫⨮⊛↹⩛15001)⩘)⫁((⇤←↹⩛14500)≥⨤⩑(⫖→↹⩛10121))=↹⩛-30350051","reverse_text":"↹⩛-30350051=⇘((⪫⨮⊛↹⩛15001)⩘)⫁((⇤←↹⩛14500)≥⨤⩑(⫖→↹⩛10121))","cot":[{"info":"⪫⨮⊛↹⩛15001=NaN","layer":3},{"info":"NaN⩘=↹⩛151","layer":2},{"info":"⇤←↹⩛14500=↹⩛-115502","layer":3},{"info":"⫖→↹⩛10121=↹⩛453","layer":3},{"info":"↹⩛-115502≥⨤⩑↹⩛453=↹⩛5414","layer":2},{"info":"↹⩛151⫁↹⩛5414=↹⩛424","layer":1},{"info":"⇘↹⩛424=↹⩛-30350051","layer":0}]} +{"id":870,"expression_no_base_symbol":"(⇨($7312$↡⊰⫅$5348$-$4275$⫁$1062$))≎⪠(($4284$⊋≦⊧$5159$)⩁⩘(⪡⇡≛$4326$)≠≀(≦∁$1632$)≚⊃≕($3582$∀⇚≩$1027$))","expression":"(⇨(↹⩛53504↡⊰⫅↹⩛40432-↹⩛31443⫁↹⩛4530))≎⪠((↹⩛31500⊋≦⊧↹⩛35515)⩁⩘(⪡⇡≛↹⩛32010)≠≀(≦∁↹⩛11320)≚⊃≕(↹⩛24330∀⇚≩↹⩛4431))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":119263,"operation_count":12,"complexity_ratio":9938.583333333334,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7312,"base":6},"right_expr":{"type":"numeric_atoms","value":5348,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4275,"base":6},"right_expr":{"type":"numeric_atoms","value":1062,"base":6}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4284,"base":6},"right_expr":{"type":"numeric_atoms","value":5159,"base":6}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4326,"base":6}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1632,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3582,"base":6},"right_expr":{"type":"numeric_atoms","value":1027,"base":6}}}}},"used_operators":["aNhz54LH3e","G9tJMlZ94a","rysDP5nf3Z","VCtxkLNOzz","0ajvFaJAv0","IwW236VD4Y","gub5Cegaqo","oRDoc9rAEX","qL4PrbW1Dq","Bmrmz2XGnR","9ICcGScMcE","LRNGc0VcxI"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DpFCA1CohY","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7312","layer":4},{"info":"number node, value=5348","layer":4},{"info":"compute binary expreesion, left_input=7312, right_input=5348, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10696","layer":3},{"info":"number node, value=4275","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=4275, right_input=1062, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=10696, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=10536","layer":2},{"info":"compute unary expreesion, input=10536, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=4284","layer":4},{"info":"number node, value=5159","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=5159, 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=-9203","layer":3},{"info":"number node, value=4326","layer":4},{"info":"compute unary expreesion, input=4326, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4326","layer":3},{"info":"compute binary expreesion, left_input=-9203, right_input=-4326, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-16356","layer":2},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1632","layer":3},{"info":"number node, value=3582","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=1027, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1632, 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=-9922","layer":2},{"info":"compute binary expreesion, left_input=-16356, right_input=-9922, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=26157","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=26157, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(⇨(↹⩛53504↡⊰⫅↹⩛40432-↹⩛31443⫁↹⩛4530))≎⪠((↹⩛31500⊋≦⊧↹⩛35515)⩁⩘(⪡⇡≛↹⩛32010)≠≀(≦∁↹⩛11320)≚⊃≕(↹⩛24330∀⇚≩↹⩛4431))=↹⩛230314","reverse_text":"↹⩛230314=(⇨(↹⩛53504↡⊰⫅↹⩛40432-↹⩛31443⫁↹⩛4530))≎⪠((↹⩛31500⊋≦⊧↹⩛35515)⩁⩘(⪡⇡≛↹⩛32010)≠≀(≦∁↹⩛11320)≚⊃≕(↹⩛24330∀⇚≩↹⩛4431))","cot":[{"info":"↹⩛53504↡⊰⫅↹⩛40432=↹⩛121304","layer":3},{"info":"↹⩛31443⫁↹⩛4530=↹⩛424","layer":3},{"info":"↹⩛121304-↹⩛424=↹⩛120440","layer":2},{"info":"⇨↹⩛120440=↹⩛0","layer":1},{"info":"↹⩛31500⊋≦⊧↹⩛35515=↹⩛-110335","layer":3},{"info":"⪡⇡≛↹⩛32010=↹⩛-32010","layer":3},{"info":"↹⩛-110335⩁⩘↹⩛-32010=↹⩛-203420","layer":2},{"info":"≦∁↹⩛11320=↹⩛11320","layer":3},{"info":"↹⩛24330∀⇚≩↹⩛4431=NaN","layer":3},{"info":"↹⩛11320≚⊃≕NaN=↹⩛-113534","layer":2},{"info":"↹⩛-203420≠≀↹⩛-113534=↹⩛321033","layer":1},{"info":"↹⩛0≎⪠↹⩛321033=↹⩛230314","layer":0}]} +{"id":871,"expression_no_base_symbol":"((($1278$+$2279$)↸$3126$⨓$6466$)⫉⨲⊜($1093$↢$1725$⊝))⫣⪄⊒((↘(⫵↿$3036$))⪨≂(($1656$↱$5635$)∁))","expression":"(((↹⩛5530+↹⩛14315)↸↹⩛22250⨓↹⩛45534)⫉⨲⊜(↹⩛5021↢↹⩛11553⊝))⫣⪄⊒((↘(⫵↿↹⩛22020))⪨≂((↹⩛11400↱↹⩛42031)∁))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10192,"operation_count":12,"complexity_ratio":849.3333333333334,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1278,"base":6},"right_expr":{"type":"numeric_atoms","value":2279,"base":6}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3126,"base":6},"right_expr":{"type":"numeric_atoms","value":6466,"base":6}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1093,"base":6},"right_expr":{"type":"numeric_atoms","value":1725,"base":6}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3036,"base":6}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1656,"base":6},"right_expr":{"type":"numeric_atoms","value":5635,"base":6}}}}},"used_operators":["RabNbG55vr","WhqkvtTD3t","1eCjFl0mb9","W4YGzv6Whe","3ViojmjbAp","O6EZ0fifGK","WR6HLWljOP","sdazOOVcIp","LdNpr8hQHL","ivGwdmUAux","jdwGQqwJi5","SR5kFfdi6N"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eewbuw0ToL","zVYPLywUTj","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","2DDjHMKMc0","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"↹⩛-4134552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=2279, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3557","layer":3},{"info":"number node, value=3126","layer":4},{"info":"number node, value=6466","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=6466, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6469","layer":3},{"info":"compute binary expreesion, left_input=3557, right_input=-6469, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3557","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1725, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=609","layer":3},{"info":"compute unary expreesion, input=609, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=609","layer":2},{"info":"compute binary expreesion, left_input=3557, right_input=609, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=3036","layer":4},{"info":"compute unary expreesion, input=3036, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute unary expreesion, input=137, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=137","layer":2},{"info":"number node, value=1656","layer":4},{"info":"number node, value=5635","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=5635, 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=-16383","layer":3},{"info":"compute unary expreesion, input=-16383, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-16383","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=-16383, 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=33142","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=33142, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-199364","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛5530+↹⩛14315)↸↹⩛22250⨓↹⩛45534)⫉⨲⊜(↹⩛5021↢↹⩛11553⊝))⫣⪄⊒((↘(⫵↿↹⩛22020))⪨≂((↹⩛11400↱↹⩛42031)∁))=↹⩛-4134552","reverse_text":"↹⩛-4134552=(((↹⩛5530+↹⩛14315)↸↹⩛22250⨓↹⩛45534)⫉⨲⊜(↹⩛5021↢↹⩛11553⊝))⫣⪄⊒((↘(⫵↿↹⩛22020))⪨≂((↹⩛11400↱↹⩛42031)∁))","cot":[{"info":"↹⩛5530+↹⩛14315=↹⩛24245","layer":3},{"info":"↹⩛22250⨓↹⩛45534=↹⩛-45541","layer":3},{"info":"↹⩛24245↸↹⩛-45541=↹⩛24245","layer":2},{"info":"↹⩛5021↢↹⩛11553=↹⩛2453","layer":3},{"info":"↹⩛2453⊝=↹⩛2453","layer":2},{"info":"↹⩛24245⫉⨲⊜↹⩛2453=↹⩛0","layer":1},{"info":"⫵↿↹⩛22020=↹⩛345","layer":3},{"info":"↘↹⩛345=↹⩛345","layer":2},{"info":"↹⩛11400↱↹⩛42031=↹⩛-203503","layer":3},{"info":"↹⩛-203503∁=↹⩛-203503","layer":2},{"info":"↹⩛345⪨≂↹⩛-203503=↹⩛413234","layer":1},{"info":"↹⩛0⫣⪄⊒↹⩛413234=↹⩛-4134552","layer":0}]} +{"id":872,"expression_no_base_symbol":"(⪫⨮⊛((⋣$2174$)↺(⊤⊝$1023$)))⫃⨇($1182$∣$7468$)≌(⫓⪴$7442$)∺≝⩲(($6663$⇷$1787$)∊∟⩊(∑⇻≧$1239$))","expression":"(⪫⨮⊛((⋣↹⩛14022)↺(⊤⊝↹⩛4423)))⫃⨇(↹⩛5250∣↹⩛54324)≌(⫓⪴↹⩛54242)∺≝⩲((↹⩛50503⇷↹⩛12135)∊∟⩊(∑⇻≧↹⩛5423))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":101066,"operation_count":12,"complexity_ratio":8422.166666666666,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2174,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1023,"base":6}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1182,"base":6},"right_expr":{"type":"numeric_atoms","value":7468,"base":6}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7442,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6663,"base":6},"right_expr":{"type":"numeric_atoms","value":1787,"base":6}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1239,"base":6}}}}},"used_operators":["09Ly4LVMIf","w5FWba1tyO","7j4O788W3g","zQWRhDnn8F","rXAclfmB4M","KPf6cnQVty","lyWz822IDG","PPChnnnBFF","eLxqMNBOBk","ddLRYrp01A","mp7IySMOzn","l1M9WJ3V7u"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","sdazOOVcIp","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"↹⩛-3040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-639061","layer":3},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=748","layer":3},{"info":"compute binary expreesion, left_input=-639061, right_input=748, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=748","layer":2},{"info":"compute unary expreesion, input=748, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=748","layer":1},{"info":"number node, value=1182","layer":4},{"info":"number node, value=7468","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=7468, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1182","layer":3},{"info":"number node, value=7442","layer":4},{"info":"compute unary expreesion, input=7442, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=55383364","layer":3},{"info":"compute binary expreesion, left_input=1182, right_input=55383364, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=6663","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=6663, right_input=1787, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3574","layer":3},{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=3574, right_input=-852, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=748, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":0}],"base":6,"result_base":6,"text":"(⪫⨮⊛((⋣↹⩛14022)↺(⊤⊝↹⩛4423)))⫃⨇(↹⩛5250∣↹⩛54324)≌(⫓⪴↹⩛54242)∺≝⩲((↹⩛50503⇷↹⩛12135)∊∟⩊(∑⇻≧↹⩛5423))=↹⩛-3040","reverse_text":"↹⩛-3040=(⪫⨮⊛((⋣↹⩛14022)↺(⊤⊝↹⩛4423)))⫃⨇(↹⩛5250∣↹⩛54324)≌(⫓⪴↹⩛54242)∺≝⩲((↹⩛50503⇷↹⩛12135)∊∟⩊(∑⇻≧↹⩛5423))","cot":[{"info":"⋣↹⩛14022=↹⩛-21410341","layer":3},{"info":"⊤⊝↹⩛4423=↹⩛3244","layer":3},{"info":"↹⩛-21410341↺↹⩛3244=↹⩛3244","layer":2},{"info":"⪫⨮⊛↹⩛3244=↹⩛3244","layer":1},{"info":"↹⩛5250∣↹⩛54324=↹⩛5250","layer":3},{"info":"⫓⪴↹⩛54242=↹⩛5255020244","layer":3},{"info":"↹⩛5250≌↹⩛5255020244=NaN","layer":2},{"info":"↹⩛50503⇷↹⩛12135=↹⩛24314","layer":3},{"info":"∑⇻≧↹⩛5423=↹⩛-3540","layer":3},{"info":"↹⩛24314∊∟⩊↹⩛-3540=↹⩛-3540","layer":2},{"info":"NaN∺≝⩲↹⩛-3540=↹⩛424","layer":1},{"info":"↹⩛3244⫃⨇↹⩛424=↹⩛-3040","layer":0}]} +{"id":873,"expression_no_base_symbol":"(↥($8319$⨑≵⋬$3374$))⪢($3704$∙⊟$5641$)∺≝⩲$1865$⫞⩸⩒$7363$⩺⪪((⇈($4028$⪶≀⋏$3599$))⪨≂($1326$⩧⪆$4126$)⫉⨲⊜($2227$⇼⇔∾$2367$))","expression":"(↥(↹⩛102303⨑≵⋬↹⩛23342))⪢(↹⩛25052∙⊟↹⩛42041)∺≝⩲↹⩛12345⫞⩸⩒↹⩛54031⩺⪪((⇈(↹⩛30352⪶≀⋏↹⩛24355))⪨≂(↹⩛10050⩧⪆↹⩛31034)⫉⨲⊜(↹⩛14151⇼⇔∾↹⩛14543))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17908,"operation_count":13,"complexity_ratio":1377.5384615384614,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":8319,"base":6},"right_expr":{"type":"numeric_atoms","value":3374,"base":6}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3704,"base":6},"right_expr":{"type":"numeric_atoms","value":5641,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1865,"base":6},"right_expr":{"type":"numeric_atoms","value":7363,"base":6}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4028,"base":6},"right_expr":{"type":"numeric_atoms","value":3599,"base":6}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1326,"base":6},"right_expr":{"type":"numeric_atoms","value":4126,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2227,"base":6},"right_expr":{"type":"numeric_atoms","value":2367,"base":6}}}}},"used_operators":["uvdQJvN4PV","dWAJyo7jo9","A8NUZmVepG","XnXgA4xnOs","KPf6cnQVty","SxTAKzQCrw","XGcMNugi78","sdazOOVcIp","SLLxy00UIr","zR4jO40bMj","WhqkvtTD3t","Ikt5ks8PT7","tifHPKVTfV"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","k8jYdgA6NY","k8jYdgA6NY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8319","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=8319, right_input=3374, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=19356","layer":3},{"info":"compute unary expreesion, input=19356, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":2},{"info":"number node, value=3704","layer":4},{"info":"number node, value=5641","layer":4},{"info":"compute binary expreesion, left_input=3704, right_input=5641, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=57998","layer":3},{"info":"number node, value=1865","layer":4},{"info":"number node, value=7363","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=7363, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7363","layer":3},{"info":"compute binary expreesion, left_input=57998, right_input=7363, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=27, right_input=160, 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=4028","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=3599, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19514","layer":3},{"info":"compute unary expreesion, input=-19514, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1326","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=4126, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4126","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=2367, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=140","layer":3},{"info":"compute binary expreesion, left_input=-4126, right_input=140, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=170717798","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=170717798, 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=-341436388","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-341436388, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↥(↹⩛102303⨑≵⋬↹⩛23342))⪢(↹⩛25052∙⊟↹⩛42041)∺≝⩲↹⩛12345⫞⩸⩒↹⩛54031⩺⪪((⇈(↹⩛30352⪶≀⋏↹⩛24355))⪨≂(↹⩛10050⩧⪆↹⩛31034)⫉⨲⊜(↹⩛14151⇼⇔∾↹⩛14543))=NaN","reverse_text":"NaN=(↥(↹⩛102303⨑≵⋬↹⩛23342))⪢(↹⩛25052∙⊟↹⩛42041)∺≝⩲↹⩛12345⫞⩸⩒↹⩛54031⩺⪪((⇈(↹⩛30352⪶≀⋏↹⩛24355))⪨≂(↹⩛10050⩧⪆↹⩛31034)⫉⨲⊜(↹⩛14151⇼⇔∾↹⩛14543))","cot":[{"info":"↹⩛102303⨑≵⋬↹⩛23342=↹⩛225340","layer":3},{"info":"↥↹⩛225340=↹⩛43","layer":2},{"info":"↹⩛25052∙⊟↹⩛42041=↹⩛1124302","layer":3},{"info":"↹⩛12345⫞⩸⩒↹⩛54031=↹⩛54031","layer":3},{"info":"↹⩛1124302∺≝⩲↹⩛54031=↹⩛424","layer":2},{"info":"↹⩛43⪢↹⩛424=NaN","layer":1},{"info":"↹⩛30352⪶≀⋏↹⩛24355=↹⩛-230202","layer":3},{"info":"⇈↹⩛-230202=↹⩛-2023","layer":2},{"info":"↹⩛10050⩧⪆↹⩛31034=↹⩛-31034","layer":3},{"info":"↹⩛14151⇼⇔∾↹⩛14543=↹⩛352","layer":3},{"info":"↹⩛-31034⫉⨲⊜↹⩛352=↹⩛24535024102","layer":2},{"info":"↹⩛-2023⪨≂↹⩛24535024102=↹⩛-53514100004","layer":1},{"info":"NaN⩺⪪↹⩛-53514100004=NaN","layer":0}]} +{"id":874,"expression_no_base_symbol":"((⪹$1760$⪃⊛⇣$1123$)⇟⨁⪰)+(↨⩢⫨(($1025$≧⫂∧$2044$)⨲))","expression":"((⪹↹⩛12052⪃⊛⇣↹⩛5111)⇟⨁⪰)+(↨⩢⫨((↹⩛4425≧⫂∧↹⩛13244)⨲))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":237263,"operation_count":7,"complexity_ratio":33894.71428571428,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1760,"base":6},"right_expr":{"type":"numeric_atoms","value":1123,"base":6}}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1025,"base":6},"right_expr":{"type":"numeric_atoms","value":2044,"base":6}}}}},"used_operators":["W4YGzv6Whe","BX1lVwlMe0","USyYr0JgAa","rrgAzCduG9","Z5CJsN7DuW","nLYMGWM7L8","Ph9nP6C5qx"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","tifHPKVTfV","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛4024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1123, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1054","layer":2},{"info":"compute unary expreesion, input=-1054, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=880","layer":1},{"info":"number node, value=1025","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=2044, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1571","layer":3},{"info":"compute unary expreesion, input=1571, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=276224461","layer":2},{"info":"compute unary expreesion, input=276224461, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=880, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=880","layer":0}],"base":6,"result_base":6,"text":"((⪹↹⩛12052⪃⊛⇣↹⩛5111)⇟⨁⪰)+(↨⩢⫨((↹⩛4425≧⫂∧↹⩛13244)⨲))=↹⩛4024","reverse_text":"↹⩛4024=((⪹↹⩛12052⪃⊛⇣↹⩛5111)⇟⨁⪰)+(↨⩢⫨((↹⩛4425≧⫂∧↹⩛13244)⨲))","cot":[{"info":"↹⩛12052⪃⊛⇣↹⩛5111=↹⩛5414","layer":3},{"info":"⪹↹⩛5414=↹⩛-4514","layer":2},{"info":"↹⩛-4514⇟⨁⪰=↹⩛4024","layer":1},{"info":"↹⩛4425≧⫂∧↹⩛13244=↹⩛11135","layer":3},{"info":"↹⩛11135⨲=↹⩛43224240541","layer":2},{"info":"↨⩢⫨↹⩛43224240541=↹⩛0","layer":1},{"info":"↹⩛4024+↹⩛0=↹⩛4024","layer":0}]} +{"id":875,"expression_no_base_symbol":"($4700$∌↝$2592$)⩁⩘(↨⩢⫨$6591$)⊹∫⫚(≱⇩⩕(⨑⩽⪐$1629$))∪⫐$2043$⊮⊟↴$1565$⩦($5387$≨$2419$)≃($2836$⪔⊥$4057$⋳⪒($1134$⪹))","expression":"(↹⩛33432∌↝↹⩛20000)⩁⩘(↨⩢⫨↹⩛50303)⊹∫⫚(≱⇩⩕(⨑⩽⪐↹⩛11313))∪⫐↹⩛13243⊮⊟↴↹⩛11125⩦(↹⩛40535≨↹⩛15111)≃(↹⩛21044⪔⊥↹⩛30441⋳⪒(↹⩛5130⪹))","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":438,"operation_count":14,"complexity_ratio":31.285714285714285,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4700,"base":6},"right_expr":{"type":"numeric_atoms","value":2592,"base":6}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":6591,"base":6}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1629,"base":6}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2043,"base":6},"right_expr":{"type":"numeric_atoms","value":1565,"base":6}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5387,"base":6},"right_expr":{"type":"numeric_atoms","value":2419,"base":6}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2836,"base":6},"right_expr":{"type":"numeric_atoms","value":4057,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1134,"base":6}}}}},"used_operators":["7YooWSwCyH","uWAJUKEvyW","gub5Cegaqo","9Isq31Ruls","Z5CJsN7DuW","3DZMoQKiUl","AF7qkfDlqP","YbVcJGFEVW","0kmYd0q39Y","QDVgd2eftb","0KMCeP1Jsh","12rbrZMWeM","HJ9erzHUuu","B3sABdIn96"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","IWmyXbctLI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"↹⩛-1432","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4700","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=4700, right_input=2592, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=6591","layer":4},{"info":"compute unary expreesion, input=6591, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1356","layer":3},{"info":"compute unary expreesion, input=-1356, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=10102","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10102, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-380","layer":1},{"info":"number node, value=2043","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=1565, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=5387","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=5387, right_input=2419, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-51394","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-51394, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"number node, value=2836","layer":4},{"info":"number node, value=4057","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=4057, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3031","layer":3},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=6760","layer":3},{"info":"compute binary expreesion, left_input=3031, right_input=6760, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-985","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-985, 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=3900","layer":1},{"info":"compute binary expreesion, left_input=-380, right_input=3900, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-380","layer":0}],"base":6,"result_base":6,"text":"(↹⩛33432∌↝↹⩛20000)⩁⩘(↨⩢⫨↹⩛50303)⊹∫⫚(≱⇩⩕(⨑⩽⪐↹⩛11313))∪⫐↹⩛13243⊮⊟↴↹⩛11125⩦(↹⩛40535≨↹⩛15111)≃(↹⩛21044⪔⊥↹⩛30441⋳⪒(↹⩛5130⪹))=↹⩛-1432","reverse_text":"↹⩛-1432=(↹⩛33432∌↝↹⩛20000)⩁⩘(↨⩢⫨↹⩛50303)⊹∫⫚(≱⇩⩕(⨑⩽⪐↹⩛11313))∪⫐↹⩛13243⊮⊟↴↹⩛11125⩦(↹⩛40535≨↹⩛15111)≃(↹⩛21044⪔⊥↹⩛30441⋳⪒(↹⩛5130⪹))","cot":[{"info":"↹⩛33432∌↝↹⩛20000=↹⩛0","layer":3},{"info":"↨⩢⫨↹⩛50303=↹⩛0","layer":3},{"info":"↹⩛0⩁⩘↹⩛0=NaN","layer":2},{"info":"⨑⩽⪐↹⩛11313=↹⩛-10140","layer":3},{"info":"≱⇩⩕↹⩛-10140=↹⩛114434","layer":2},{"info":"NaN⊹∫⫚↹⩛114434=↹⩛-1432","layer":1},{"info":"↹⩛13243⊮⊟↴↹⩛11125=↹⩛0","layer":3},{"info":"↹⩛40535≨↹⩛15111=↹⩛-1033534","layer":3},{"info":"↹⩛0⩦↹⩛-1033534=↹⩛0","layer":2},{"info":"↹⩛21044⪔⊥↹⩛30441=↹⩛22011","layer":3},{"info":"↹⩛5130⪹=↹⩛51144","layer":3},{"info":"↹⩛22011⋳⪒↹⩛51144=↹⩛-4321","layer":2},{"info":"↹⩛0≃↹⩛-4321=↹⩛30020","layer":1},{"info":"↹⩛-1432∪⫐↹⩛30020=↹⩛-1432","layer":0}]} +{"id":876,"expression_no_base_symbol":"$5084$⇡⇂$1294$↞⋁($4477$⪘⫢$1718$)⫢⨠(↞≼$3085$⨸$4442$)⇄(($1102$-$1656$)≓∲$1293$∴$4859$)⪭(($2991$⫔⩽⩺$1378$)≬⇓(→⩰$4652$))","expression":"↹⩛35312⇡⇂↹⩛5554↞⋁(↹⩛32421⪘⫢↹⩛11542)⫢⨠(↞≼↹⩛22141⨸↹⩛32322)⇄((↹⩛5034-↹⩛11400)≓∲↹⩛5553∴↹⩛34255)⪭((↹⩛21503⫔⩽⩺↹⩛10214)≬⇓(→⩰↹⩛33312))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15163,"operation_count":14,"complexity_ratio":1083.0714285714287,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5084,"base":6},"right_expr":{"type":"numeric_atoms","value":1294,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4477,"base":6},"right_expr":{"type":"numeric_atoms","value":1718,"base":6}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3085,"base":6},"right_expr":{"type":"numeric_atoms","value":4442,"base":6}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1102,"base":6},"right_expr":{"type":"numeric_atoms","value":1656,"base":6}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1293,"base":6},"right_expr":{"type":"numeric_atoms","value":4859,"base":6}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2991,"base":6},"right_expr":{"type":"numeric_atoms","value":1378,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4652,"base":6}}}}},"used_operators":["3EYGwJThht","xlXykHWxX1","RqrPlJkxDo","UMwdvZNt44","oacrs7FA3X","DE7zCoGJt9","KmoU8R5UQR","j9kHMeSvPp","s1XTVnmDOJ","rysDP5nf3Z","hrf7POJlIJ","jWTQ2TZYIH","i9eR4S00cU","o8Pngz0Tml"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","COABgblf1C","xUOZtlo3hN","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5084","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=1294, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=4477","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=1718, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8830","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8830, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=3085","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=4442, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6170","layer":3},{"info":"compute unary expreesion, input=6170, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=48946","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=48946, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1656, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-554","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=4859, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4234","layer":3},{"info":"compute binary expreesion, left_input=-554, right_input=4234, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"number node, value=2991","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=1378, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=4652","layer":4},{"info":"compute unary expreesion, input=4652, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-241","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-241, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛35312⇡⇂↹⩛5554↞⋁(↹⩛32421⪘⫢↹⩛11542)⫢⨠(↞≼↹⩛22141⨸↹⩛32322)⇄((↹⩛5034-↹⩛11400)≓∲↹⩛5553∴↹⩛34255)⪭((↹⩛21503⫔⩽⩺↹⩛10214)≬⇓(→⩰↹⩛33312))=NaN","reverse_text":"NaN=↹⩛35312⇡⇂↹⩛5554↞⋁(↹⩛32421⪘⫢↹⩛11542)⫢⨠(↞≼↹⩛22141⨸↹⩛32322)⇄((↹⩛5034-↹⩛11400)≓∲↹⩛5553∴↹⩛34255)⪭((↹⩛21503⫔⩽⩺↹⩛10214)≬⇓(→⩰↹⩛33312))","cot":[{"info":"↹⩛35312⇡⇂↹⩛5554=NaN","layer":3},{"info":"↹⩛32421⪘⫢↹⩛11542=↹⩛104514","layer":3},{"info":"NaN↞⋁↹⩛104514=NaN","layer":2},{"info":"↹⩛22141⨸↹⩛32322=↹⩛44322","layer":3},{"info":"↞≼↹⩛44322=↹⩛1014334","layer":2},{"info":"NaN⫢⨠↹⩛1014334=NaN","layer":1},{"info":"↹⩛5034-↹⩛11400=↹⩛-2322","layer":3},{"info":"↹⩛5553∴↹⩛34255=↹⩛31334","layer":3},{"info":"↹⩛-2322≓∲↹⩛31334=↹⩛151","layer":2},{"info":"↹⩛21503⫔⩽⩺↹⩛10214=NaN","layer":3},{"info":"→⩰↹⩛33312=NaN","layer":3},{"info":"NaN≬⇓NaN=NaN","layer":2},{"info":"↹⩛151⪭NaN=↹⩛-1041","layer":1},{"info":"NaN⇄↹⩛-1041=NaN","layer":0}]} +{"id":877,"expression_no_base_symbol":"⫖→(($6814$-$1044$)≬⋮$5122$⪛$1009$)⩘((⇾⩊⇾$1539$)∲⫓$1879$⪶≀⋏$5051$)","expression":"⫖→((↹⩛51314-↹⩛4500)≬⋮↹⩛35414⪛↹⩛4401)⩘((⇾⩊⇾↹⩛11043)∲⫓↹⩛12411⪶≀⋏↹⩛35215)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":493,"operation_count":8,"complexity_ratio":61.625,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6814,"base":6},"right_expr":{"type":"numeric_atoms","value":1044,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5122,"base":6},"right_expr":{"type":"numeric_atoms","value":1009,"base":6}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1539,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1879,"base":6},"right_expr":{"type":"numeric_atoms","value":5051,"base":6}}}}},"used_operators":["U4ylXWHChL","cHh1gJQ2o6","kbkesczE7y","rysDP5nf3Z","uFcxV4UQCh","i8ToyICDmI","bx9Z9DAK5y","zR4jO40bMj"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛453","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6814","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=6814, right_input=1044, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5770","layer":3},{"info":"number node, value=5122","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=5122, right_input=1009, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=77","layer":3},{"info":"compute binary expreesion, left_input=5770, right_input=77, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1539","layer":4},{"info":"compute unary expreesion, input=1539, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20337","layer":3},{"info":"number node, value=1879","layer":4},{"info":"number node, value=5051","layer":4},{"info":"compute binary expreesion, left_input=1879, right_input=5051, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15971","layer":3},{"info":"compute binary expreesion, left_input=-20337, right_input=-15971, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-20337","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-20337, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":6,"result_base":6,"text":"⫖→((↹⩛51314-↹⩛4500)≬⋮↹⩛35414⪛↹⩛4401)⩘((⇾⩊⇾↹⩛11043)∲⫓↹⩛12411⪶≀⋏↹⩛35215)=↹⩛453","reverse_text":"↹⩛453=⫖→((↹⩛51314-↹⩛4500)≬⋮↹⩛35414⪛↹⩛4401)⩘((⇾⩊⇾↹⩛11043)∲⫓↹⩛12411⪶≀⋏↹⩛35215)","cot":[{"info":"↹⩛51314-↹⩛4500=↹⩛42414","layer":3},{"info":"↹⩛35414⪛↹⩛4401=↹⩛205","layer":3},{"info":"↹⩛42414≬⋮↹⩛205=↹⩛4004","layer":2},{"info":"⇾⩊⇾↹⩛11043=↹⩛-234053","layer":3},{"info":"↹⩛12411⪶≀⋏↹⩛35215=↹⩛-201535","layer":3},{"info":"↹⩛-234053∲⫓↹⩛-201535=↹⩛-234053","layer":2},{"info":"↹⩛4004⩘↹⩛-234053=↹⩛424","layer":1},{"info":"⫖→↹⩛424=↹⩛453","layer":0}]} +{"id":878,"expression_no_base_symbol":"⇉-⫰((⩒∊$4414$⪪$3281$)⨰(⊀$1798$)⪬($4419$↦))","expression":"⇉-⫰((⩒∊↹⩛32234⪪↹⩛23105)⨰(⊀↹⩛12154)⪬(↹⩛32243↦))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":238734,"operation_count":7,"complexity_ratio":34104.857142857145,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4414,"base":6},"right_expr":{"type":"numeric_atoms","value":3281,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1798,"base":6}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":4419,"base":6}}}}},"used_operators":["IGFM8TAlm9","eewbuw0ToL","qazvmhNBbN","xD69zh8xqp","Ez1Nq5fNfI","oPMjh9089D","fFznvYxMfW"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","FU0Cs4j7VP","JclMnS0uGI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"↹⩛32","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4414","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=4414, right_input=3281, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-662603","layer":3},{"info":"compute unary expreesion, input=-662603, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1989082","layer":2},{"info":"number node, value=1798","layer":4},{"info":"compute unary expreesion, input=1798, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6930","layer":3},{"info":"number node, value=4419","layer":4},{"info":"compute unary expreesion, input=4419, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6930, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-1989082, right_input=1234, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1990306","layer":1},{"info":"compute unary expreesion, input=-1990306, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":6,"result_base":6,"text":"⇉-⫰((⩒∊↹⩛32234⪪↹⩛23105)⨰(⊀↹⩛12154)⪬(↹⩛32243↦))=↹⩛32","reverse_text":"↹⩛32=⇉-⫰((⩒∊↹⩛32234⪪↹⩛23105)⨰(⊀↹⩛12154)⪬(↹⩛32243↦))","cot":[{"info":"↹⩛32234⪪↹⩛23105=↹⩛-22111335","layer":3},{"info":"⩒∊↹⩛-22111335=↹⩛-110344414","layer":2},{"info":"⊀↹⩛12154=↹⩛52030","layer":3},{"info":"↹⩛32243↦=NaN","layer":3},{"info":"↹⩛52030⪬NaN=↹⩛5414","layer":2},{"info":"↹⩛-110344414⨰↹⩛5414=↹⩛-110354214","layer":1},{"info":"⇉-⫰↹⩛-110354214=↹⩛32","layer":0}]} +{"id":879,"expression_no_base_symbol":"(⇈$1816$)⇌⫙⪟(↯⪼$1138$)⋾⨃∁(↪⫪⫘($4000$≀⫉$1057$))/(⊿((⪫⨮⊛$2052$)⪁$2271$⨸$2153$))","expression":"(⇈↹⩛12224)⇌⫙⪟(↯⪼↹⩛5134)⋾⨃∁(↪⫪⫘(↹⩛30304≀⫉↹⩛4521))/(⊿((⪫⨮⊛↹⩛13300)⪁↹⩛14303⨸↹⩛13545))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1241424,"operation_count":11,"complexity_ratio":112856.72727272728,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1816,"base":6}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1138,"base":6}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4000,"base":6},"right_expr":{"type":"numeric_atoms","value":1057,"base":6}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2052,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2271,"base":6},"right_expr":{"type":"numeric_atoms","value":2153,"base":6}}}}},"used_operators":["XhwjNDsVaA","212REbPD9h","AFVx7xoS7T","SLLxy00UIr","8jW3W4yZS5","9dWsAM3GFt","oZj3VtZNQx","DO4fhlbJSI","I7sXao9hZE","w5FWba1tyO","KmoU8R5UQR"],"dependent_operators":["rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓���(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-21, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=4000","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=1057, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=20, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=3666","layer":1},{"info":"number node, value=2052","layer":4},{"info":"compute unary expreesion, input=2052, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=2271","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=2153, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4542","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4542, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3666, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇈↹⩛12224)⇌⫙⪟(↯⪼↹⩛5134)⋾⨃∁(↪⫪⫘(↹⩛30304≀⫉↹⩛4521))/(⊿((⪫⨮⊛↹⩛13300)⪁↹⩛14303⨸↹⩛13545))=NaN","reverse_text":"NaN=(⇈↹⩛12224)⇌⫙⪟(↯⪼↹⩛5134)⋾⨃∁(↪⫪⫘(↹⩛30304≀⫉↹⩛4521))/(⊿((⪫⨮⊛↹⩛13300)⪁↹⩛14303⨸↹⩛13545))","cot":[{"info":"⇈↹⩛12224=↹⩛-2023","layer":3},{"info":"↯⪼↹⩛5134=↹⩛-33","layer":3},{"info":"↹⩛-2023⇌⫙⪟↹⩛-33=↹⩛305","layer":2},{"info":"↹⩛30304≀⫉↹⩛4521=↹⩛21022","layer":3},{"info":"↪⫪⫘↹⩛21022=↹⩛32","layer":2},{"info":"↹⩛305⋾⨃∁↹⩛32=↹⩛24550","layer":1},{"info":"⪫⨮⊛↹⩛13300=NaN","layer":3},{"info":"↹⩛14303⨸↹⩛13545=↹⩛33010","layer":3},{"info":"NaN⪁↹⩛33010=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"↹⩛24550/NaN=NaN","layer":0}]} +{"id":880,"expression_no_base_symbol":"($3491$⪬$2399$⋝⋈⪟($1009$⋻⩜⩜$1249$))∌↝($1490$⩦$3488$⨸⪁$1910$∠↢$3688$)≎⊠⪸(⩰$1062$⊉↱≁$1280$)⨽∌($2490$⋥⋵⩄$1097$)⪬(⇺⋃$1032$)","expression":"(↹⩛24055⪬↹⩛15035⋝⋈⪟(↹⩛4401⋻⩜⩜↹⩛5441))∌↝(↹⩛10522⩦↹⩛24052⨸⪁↹⩛12502∠↢↹⩛25024)≎⊠⪸(⩰↹⩛4530⊉↱≁↹⩛5532)⨽∌(↹⩛15310⋥⋵⩄↹⩛5025)⪬(⇺⋃↹⩛4440)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":891454,"operation_count":14,"complexity_ratio":63675.28571428572,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3491,"base":6},"right_expr":{"type":"numeric_atoms","value":2399,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1009,"base":6},"right_expr":{"type":"numeric_atoms","value":1249,"base":6}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1490,"base":6},"right_expr":{"type":"numeric_atoms","value":3488,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1910,"base":6},"right_expr":{"type":"numeric_atoms","value":3688,"base":6}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1062,"base":6},"right_expr":{"type":"numeric_atoms","value":1280,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2490,"base":6},"right_expr":{"type":"numeric_atoms","value":1097,"base":6}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1032,"base":6}}}}},"used_operators":["bJkvcejdHO","9Isq31Ruls","2DDjHMKMc0","Ez1Nq5fNfI","oDCm7WA9JY","g55IO6H4Gj","0kmYd0q39Y","KbjG8mgYpV","9samAPKr6k","WkeUrDK8WX","w2P8NbNXyL","7t3wd0Fuz7","E5v5B3UAjG"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"↹⩛21405043","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3491","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=3491, right_input=2399, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1249, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2018","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2018, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1234","layer":2},{"info":"number node, value=1490","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=3488, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2980","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=3688","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=3688, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-58190","layer":3},{"info":"compute binary expreesion, left_input=2980, right_input=-58190, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-110420","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-110420, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=2468","layer":1},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1280, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=2888","layer":3},{"info":"compute unary expreesion, input=2888, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3888","layer":2},{"info":"number node, value=2490","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=1097, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4525","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=4525, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-3888, right_input=1234, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2468, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=638739","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24055⪬↹⩛15035⋝⋈⪟(↹⩛4401⋻⩜⩜↹⩛5441))∌↝(↹⩛10522⩦↹⩛24052⨸⪁↹⩛12502∠↢↹⩛25024)≎⊠⪸(⩰↹⩛4530⊉��≁↹⩛5532)⨽∌(↹⩛15310⋥⋵⩄↹⩛5025)⪬(⇺⋃↹⩛4440)=↹⩛21405043","reverse_text":"↹⩛21405043=(↹⩛24055⪬↹⩛15035⋝⋈⪟(↹⩛4401⋻⩜⩜↹⩛5441))∌↝(↹⩛10522⩦↹⩛24052⨸⪁↹⩛12502∠↢↹⩛25024)≎⊠⪸(⩰↹⩛4530⊉↱≁↹⩛5532)⨽∌(↹⩛15310⋥⋵⩄↹⩛5025)⪬(⇺⋃↹⩛4440)","cot":[{"info":"↹⩛24055⪬↹⩛15035=↹⩛5414","layer":3},{"info":"↹⩛4401⋻⩜⩜↹⩛5441=↹⩛13202","layer":3},{"info":"↹⩛5414⋝⋈⪟↹⩛13202=↹⩛5414","layer":2},{"info":"↹⩛10522⩦↹⩛24052=↹⩛21444","layer":3},{"info":"↹⩛12502∠↢↹⩛25024=↹⩛-1125222","layer":3},{"info":"↹⩛21444⨸⪁↹⩛-1125222=↹⩛-2211112","layer":2},{"info":"↹⩛5414∌↝↹⩛-2211112=↹⩛15232","layer":1},{"info":"↹⩛4530⊉↱≁↹⩛5532=↹⩛21212","layer":3},{"info":"⩰↹⩛21212=↹⩛-30000","layer":2},{"info":"↹⩛15310⋥⋵⩄↹⩛5025=↹⩛305","layer":3},{"info":"⇺⋃↹⩛4440=↹⩛32541","layer":3},{"info":"↹⩛305⪬↹⩛32541=↹⩛5414","layer":2},{"info":"↹⩛-30000⨽∌↹⩛5414=↹⩛0","layer":1},{"info":"↹⩛15232≎⊠⪸↹⩛0=↹⩛21405043","layer":0}]} +{"id":881,"expression_no_base_symbol":"⪸(≛$4761$⨰$1259$)⨂≜(∟⋨$6296$⪟⇏$1017$)","expression":"⪸(≛↹⩛34013⨰↹⩛5455)⨂≜(∟⋨↹⩛45052⪟⇏↹⩛4413)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":233423,"operation_count":6,"complexity_ratio":38903.833333333336,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4761,"base":6},"right_expr":{"type":"numeric_atoms","value":1259,"base":6}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6296,"base":6},"right_expr":{"type":"numeric_atoms","value":1017,"base":6}}}}},"used_operators":["86A5ENbKR9","k1SHOSEABc","W7eaUhjymW","eewbuw0ToL","ctOc4cKSDt","GODebY97qR"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4761","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=4761, right_input=1259, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3512","layer":3},{"info":"compute unary expreesion, input=3512, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=6296","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=6296, right_input=1017, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=483","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=483, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⪸(≛↹⩛34013⨰↹⩛5455)⨂≜(∟⋨↹⩛45052⪟⇏↹⩛4413)=NaN","reverse_text":"NaN=⪸(≛↹⩛34013⨰↹⩛5455)⨂≜(∟⋨↹⩛45052⪟⇏↹⩛4413)","cot":[{"info":"↹⩛34013⨰↹⩛5455=↹⩛24132","layer":3},{"info":"≛↹⩛24132=↹⩛-14","layer":2},{"info":"↹⩛45052⪟⇏↹⩛4413=↹⩛-1","layer":3},{"info":"∟⋨↹⩛-1=↹⩛2123","layer":2},{"info":"↹⩛-14⨂≜↹⩛2123=NaN","layer":1},{"info":"⪸NaN=NaN","layer":0}]} +{"id":882,"expression_no_base_symbol":"($1218$⪑⩈)⨸($1432$*$2898$)≀⩗∶($2946$⩨$5204$)∠↢$2395$≥⨤⩑$2596$⪒($2916$⊔$4448$⊝)∼(⋂($3896$⋭≵$2858$))","expression":"(↹⩛5350⪑⩈)⨸(↹⩛10344*↹⩛21230)≀⩗∶(↹⩛21350⩨↹⩛40032)∠↢↹⩛15031≥⨤⩑↹⩛20004⪒(↹⩛21300⊔↹⩛32332⊝)∼(⋂(↹⩛30012⋭≵↹⩛21122))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4760,"operation_count":13,"complexity_ratio":366.15384615384613,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1218,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1432,"base":6},"right_expr":{"type":"numeric_atoms","value":2898,"base":6}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2946,"base":6},"right_expr":{"type":"numeric_atoms","value":5204,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2395,"base":6},"right_expr":{"type":"numeric_atoms","value":2596,"base":6}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2916,"base":6},"right_expr":{"type":"numeric_atoms","value":4448,"base":6}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3896,"base":6},"right_expr":{"type":"numeric_atoms","value":2858,"base":6}}}}},"used_operators":["f6k1SAg4EE","8INZBEW696","KmoU8R5UQR","C6VvDP6HwP","9HNa5Wba9A","KbjG8mgYpV","2DlMacCsIx","gJLn6v0xnP","DyGG3AbaNP","O6EZ0fifGK","E4l6HwMY31","BUOGQAYlQx","jBncVCNhdl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"↹⩛-3","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1176","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=2898, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4149936","layer":3},{"info":"compute binary expreesion, left_input=-1176, right_input=4149936, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=432143206","layer":2},{"info":"number node, value=2946","layer":4},{"info":"number node, value=5204","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=5204, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2395","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=2596, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=1234, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-16182","layer":2},{"info":"compute binary expreesion, left_input=432143206, right_input=-16182, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":1},{"info":"number node, value=2916","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=4448, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25672","layer":3},{"info":"compute unary expreesion, input=25672, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=25672","layer":2},{"info":"number node, value=3896","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=2858, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-342","layer":2},{"info":"compute binary expreesion, left_input=25672, right_input=-342, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5350⪑⩈)⨸(↹⩛10344*↹⩛21230)≀⩗∶(↹⩛21350⩨↹⩛40032)∠↢↹⩛15031≥⨤⩑↹⩛20004⪒(↹⩛21300⊔↹⩛32332⊝)∼(⋂(↹⩛30012⋭≵↹⩛21122))=↹⩛-3","reverse_text":"↹⩛-3=(↹⩛5350⪑⩈)⨸(↹⩛10344*↹⩛21230)≀⩗∶(↹⩛21350⩨↹⩛40032)∠↢↹⩛15031≥⨤⩑↹⩛20004⪒(↹⩛21300⊔↹⩛32332⊝)∼(⋂(↹⩛30012⋭≵↹⩛21122))","cot":[{"info":"↹⩛5350⪑⩈=↹⩛-5240","layer":3},{"info":"↹⩛10344*↹⩛21230=↹⩛224540400","layer":3},{"info":"↹⩛-5240⨸↹⩛224540400=↹⩛110514154554","layer":2},{"info":"↹⩛21350⩨↹⩛40032=↹⩛-3","layer":3},{"info":"↹⩛15031≥⨤⩑↹⩛20004=↹⩛5414","layer":3},{"info":"↹⩛-3∠↢↹⩛5414=↹⩛-202530","layer":2},{"info":"↹⩛110514154554≀⩗∶↹⩛-202530=↹⩛3","layer":1},{"info":"↹⩛21300⊔↹⩛32332=↹⩛314504","layer":3},{"info":"↹⩛314504⊝=↹⩛314504","layer":2},{"info":"↹⩛30012⋭≵↹⩛21122=↹⩛151","layer":3},{"info":"⋂↹⩛151=↹⩛-1330","layer":2},{"info":"↹⩛314504∼↹⩛-1330=↹⩛0","layer":1},{"info":"↹⩛3⪒↹⩛0=↹⩛-3","layer":0}]} +{"id":883,"expression_no_base_symbol":"((≪$3256$)≎⊠⪸$2120$⊉↱≁$1161$)⫞⩸⩒((→⩰$1691$)⨔≚≋$1340$∘$3077$)+(⫵↿($6085$⫡⨏$3643$⫲))","expression":"((≪↹⩛23024)≎⊠⪸↹⩛13452⊉↱≁↹⩛5213)⫞⩸⩒((→⩰↹⩛11455)⨔≚≋↹⩛10112∘↹⩛22125)+(⫵↿(↹⩛44101⫡⨏↹⩛24511⫲))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2503,"operation_count":11,"complexity_ratio":227.54545454545453,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3256,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2120,"base":6},"right_expr":{"type":"numeric_atoms","value":1161,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1691,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1340,"base":6},"right_expr":{"type":"numeric_atoms","value":3077,"base":6}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6085,"base":6},"right_expr":{"type":"numeric_atoms","value":3643,"base":6}}}}},"used_operators":["W4YGzv6Whe","XGcMNugi78","bJkvcejdHO","Qtd6bqUJcN","w2P8NbNXyL","Z57zeUYC9z","o8Pngz0Tml","Z5m6OM72h2","ivGwdmUAux","9xnGDUPbC6","QMFrweE19q"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛5021111","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1161, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=14182","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=14182, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=235994","layer":2},{"info":"number node, value=1691","layer":4},{"info":"compute unary expreesion, input=1691, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=3077, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2680","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2680, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=235994, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=235994","layer":1},{"info":"number node, value=6085","layer":4},{"info":"number node, value=3643","layer":4},{"info":"compute binary expreesion, left_input=6085, right_input=3643, 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=38494","layer":3},{"info":"compute unary expreesion, input=38494, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=38221","layer":2},{"info":"compute unary expreesion, input=38221, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=235994, right_input=137, op_id = W4YGzv6Whe binary_op_definition= 'None', output=236131","layer":0}],"base":6,"result_base":6,"text":"((≪↹⩛23024)≎⊠⪸↹⩛13452⊉↱≁↹⩛5213)⫞⩸⩒((→⩰↹⩛11455)⨔≚≋↹⩛10112∘↹⩛22125)+(⫵↿(↹⩛44101⫡⨏↹⩛24511⫲))=↹⩛5021111","reverse_text":"↹⩛5021111=((≪↹⩛23024)≎⊠⪸↹⩛13452⊉↱≁↹⩛5213)⫞⩸⩒((→⩰↹⩛11455)⨔≚≋↹⩛10112∘↹⩛22125)+(⫵↿(↹⩛44101⫡⨏↹⩛24511⫲))","cot":[{"info":"≪↹⩛23024=↹⩛4121","layer":3},{"info":"↹⩛13452⊉↱≁↹⩛5213=↹⩛145354","layer":3},{"info":"↹⩛4121≎⊠⪸↹⩛145354=↹⩛5020322","layer":2},{"info":"→⩰↹⩛11455=NaN","layer":3},{"info":"↹⩛10112∘↹⩛22125=↹⩛20224","layer":3},{"info":"NaN⨔≚≋↹⩛20224=NaN","layer":2},{"info":"↹⩛5020322⫞⩸⩒NaN=↹⩛5020322","layer":1},{"info":"↹⩛44101⫡⨏↹⩛24511=↹⩛454114","layer":3},{"info":"↹⩛454114⫲=↹⩛452541","layer":2},{"info":"⫵↿↹⩛452541=↹⩛345","layer":1},{"info":"↹⩛5020322+↹⩛345=↹⩛5021111","layer":0}]} +{"id":884,"expression_no_base_symbol":"(($1238$⪷)∛$1650$⩁⩘$2611$≀⫉($5158$⨲)∌($1052$∇⊂⋱$1022$))⫘(↓⇌(⩷$3093$))⇻⋧≁($8017$⋹⋡⊁$6341$⪮%⊝($3765$⋾⨃∁$2229$))","expression":"((↹⩛5422⪷)∛↹⩛11350⩁⩘↹⩛20031≀⫉(↹⩛35514⨲)∌(↹⩛4512∇⊂⋱↹⩛4422))⫘(↓⇌(⩷↹⩛22153))⇻⋧≁(↹⩛101041⋹⋡⊁↹⩛45205⪮%⊝(↹⩛25233⋾⨃∁↹⩛14153))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":848439,"operation_count":14,"complexity_ratio":60602.78571428572,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1238,"base":6}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1650,"base":6},"right_expr":{"type":"numeric_atoms","value":2611,"base":6}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":5158,"base":6}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1052,"base":6},"right_expr":{"type":"numeric_atoms","value":1022,"base":6}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3093,"base":6}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":8017,"base":6},"right_expr":{"type":"numeric_atoms","value":6341,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3765,"base":6},"right_expr":{"type":"numeric_atoms","value":2229,"base":6}}}}},"used_operators":["48vC8HMD2b","oZj3VtZNQx","w2537kitQq","Qctrpi3WzA","gub5Cegaqo","8cLx32lpNA","nLYMGWM7L8","nhYeJWJD5X","jCPkEVoL5K","PxpmPgHHJV","1h0rLqGiFr","IWmyXbctLI","As8RqfVLgs","212REbPD9h"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Nsiff2A1zJ","DpFCA1CohY","IWmyXbctLI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1650","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=2611, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11392","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11392, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":2},{"info":"number node, value=5158","layer":4},{"info":"compute unary expreesion, input=5158, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=917407885","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1022, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1558","layer":3},{"info":"compute binary expreesion, left_input=917407885, right_input=1558, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1558, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"number node, value=3093","layer":4},{"info":"compute unary expreesion, input=3093, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-37195","layer":3},{"info":"compute unary expreesion, input=-37195, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-74390","layer":2},{"info":"number node, value=8017","layer":4},{"info":"number node, value=6341","layer":4},{"info":"compute binary expreesion, left_input=8017, right_input=6341, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7091","layer":3},{"info":"number node, value=3765","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=2229, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=49657568","layer":3},{"info":"compute binary expreesion, left_input=7091, right_input=49657568, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14498","layer":2},{"info":"compute binary expreesion, left_input=-74390, right_input=14498, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-672887","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-672887, 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":6,"result_base":6,"text":"((↹⩛5422⪷)∛↹⩛11350⩁⩘↹⩛20031≀⫉(↹⩛35514⨲)∌(↹⩛4512∇⊂⋱↹⩛4422))⫘(↓⇌(⩷↹⩛22153))⇻⋧≁(↹⩛101041⋹⋡⊁↹⩛45205⪮%⊝(↹⩛25233⋾⨃∁↹⩛14153))=NaN","reverse_text":"NaN=((↹⩛5422⪷)∛↹⩛11350⩁⩘↹⩛20031≀⫉(↹⩛35514⨲)∌(↹⩛4512∇⊂⋱↹⩛4422))⫘(↓⇌(⩷↹⩛22153))⇻⋧≁(↹⩛101041⋹⋡⊁↹⩛45205⪮%⊝(↹⩛25233⋾⨃∁↹⩛14153))","cot":[{"info":"↹⩛5422⪷=NaN","layer":3},{"info":"↹⩛11350⩁⩘↹⩛20031=↹⩛124424","layer":3},{"info":"NaN∛↹⩛124424=NaN","layer":2},{"info":"↹⩛35514⨲=↹⩛231011122421","layer":3},{"info":"↹⩛4512∇⊂⋱↹⩛4422=↹⩛11114","layer":3},{"info":"↹⩛231011122421∌↹⩛11114=↹⩛-11114","layer":2},{"info":"NaN≀⫉↹⩛-11114=NaN","layer":1},{"info":"⩷↹⩛22153=↹⩛-444111","layer":3},{"info":"↓⇌↹⩛-444111=↹⩛-1332222","layer":2},{"info":"↹⩛101041⋹⋡⊁↹⩛45205=↹⩛52455","layer":3},{"info":"↹⩛25233⋾⨃∁↹⩛14153=↹⩛4532200052","layer":3},{"info":"↹⩛52455⪮%⊝↹⩛4532200052=↹⩛151042","layer":2},{"info":"↹⩛-1332222⇻⋧≁↹⩛151042=↹⩛-22231115","layer":1},{"info":"NaN⫘↹⩛-22231115=NaN","layer":0}]} +{"id":885,"expression_no_base_symbol":"(($1441$⊾⪯⋞$1814$)⪮%⊝$3391$⨿$4462$)∣($1858$⋷$1053$)⊢($1602$↬$1047$)⪄((⇖⫷⫕$2495$)⨚($2809$∑⇟⊟$7307$)⫩⊇)","expression":"((↹⩛10401⊾⪯⋞↹⩛12222)⪮%⊝↹⩛23411⨿↹⩛32354)∣(↹⩛12334⋷↹⩛4513)⊢(↹⩛11230↬↹⩛4503)⪄((⇖⫷⫕↹⩛15315)⨚(↹⩛21001∑⇟⊟↹⩛53455)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1188,"operation_count":12,"complexity_ratio":99.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1441,"base":6},"right_expr":{"type":"numeric_atoms","value":1814,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3391,"base":6},"right_expr":{"type":"numeric_atoms","value":4462,"base":6}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1858,"base":6},"right_expr":{"type":"numeric_atoms","value":1053,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1602,"base":6},"right_expr":{"type":"numeric_atoms","value":1047,"base":6}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2495,"base":6}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2809,"base":6},"right_expr":{"type":"numeric_atoms","value":7307,"base":6}}}}},"used_operators":["SUmda5xLS4","PPChnnnBFF","IWmyXbctLI","HK0tfVPux8","abYXlopdE0","5twsqlHp2o","23Mk6UjR3U","B5M0gjZbta","BjRHVeLaeN","nREPSIbpBE","UHmRx3INFg","U7g4x0WXJJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1814, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3202","layer":3},{"info":"number node, value=3391","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=3391, right_input=4462, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=3202, right_input=-319, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6720","layer":2},{"info":"number node, value=1858","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=1053, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=248","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=1047, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=248, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-740","layer":2},{"info":"compute binary expreesion, left_input=6720, right_input=-740, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-5763","layer":1},{"info":"number node, value=2495","layer":4},{"info":"compute unary expreesion, input=2495, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=7307","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=7307, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5763, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":6,"result_base":6,"text":"((↹⩛10401⊾⪯⋞↹⩛12222)⪮%⊝↹⩛23411⨿↹⩛32354)∣(↹⩛12334⋷↹⩛4513)⊢(↹⩛11230↬↹⩛4503)⪄((⇖⫷⫕↹⩛15315)⨚(↹⩛21001∑⇟⊟↹⩛53455)⫩⊇)=↹⩛30231","reverse_text":"↹⩛30231=((↹⩛10401⊾⪯⋞↹⩛12222)⪮%⊝↹⩛23411⨿↹⩛32354)∣(↹⩛12334⋷↹⩛4513)⊢(↹⩛11230↬↹⩛4503)⪄((⇖⫷⫕↹⩛15315)⨚(↹⩛21001∑⇟⊟↹⩛53455)⫩⊇)","cot":[{"info":"↹⩛10401⊾⪯⋞↹⩛12222=↹⩛22454","layer":3},{"info":"↹⩛23411⨿↹⩛32354=↹⩛-1251","layer":3},{"info":"↹⩛22454⪮%⊝↹⩛-1251=↹⩛51040","layer":2},{"info":"↹⩛12334⋷↹⩛4513=↹⩛1052","layer":3},{"info":"↹⩛11230↬↹⩛4503=NaN","layer":3},{"info":"↹⩛1052⊢NaN=↹⩛-3232","layer":2},{"info":"↹⩛51040∣↹⩛-3232=↹⩛-42403","layer":1},{"info":"⇖⫷⫕↹⩛15315=↹⩛21022","layer":3},{"info":"↹⩛21001∑⇟⊟↹⩛53455=NaN","layer":3},{"info":"↹⩛21022⨚NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"↹⩛-42403⪄NaN=↹⩛30231","layer":0}]} +{"id":886,"expression_no_base_symbol":"(⊆⋠($2858$⪨⊡$3483$))⇤(($2164$⫿)⨫⇇↔($4232$⋣⋖$2834$))⇄(($3585$⪮%⊝$1926$⊘)⩺⪪($7144$⊋≦⊧$1317$)⇡⇂($1050$∠↢$7279$))","expression":"(⊆⋠(↹⩛21122⪨⊡↹⩛24043))⇤((↹⩛14004⫿)⨫⇇↔(↹⩛31332⋣⋖↹⩛21042))⇄((↹⩛24333⪮%⊝↹⩛12530⊘)⩺⪪(↹⩛53024⊋≦⊧↹⩛10033)⇡⇂(↹⩛4510∠↢↹⩛53411))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":852910,"operation_count":13,"complexity_ratio":65608.46153846153,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2858,"base":6},"right_expr":{"type":"numeric_atoms","value":3483,"base":6}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2164,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4232,"base":6},"right_expr":{"type":"numeric_atoms","value":2834,"base":6}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3585,"base":6},"right_expr":{"type":"numeric_atoms","value":1926,"base":6}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7144,"base":6},"right_expr":{"type":"numeric_atoms","value":1317,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1050,"base":6},"right_expr":{"type":"numeric_atoms","value":7279,"base":6}}}}},"used_operators":["3EYGwJThht","YSKBFp38Pu","EBhcHTkKd8","kuIXHzHcAH","LXhwmt4mBO","9tKT6PmtkH","J0M6qkBnIM","uvdQJvN4PV","gu96TGCTMs","IWmyXbctLI","UMwdvZNt44","oRDoc9rAEX","KbjG8mgYpV"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2858","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=2858, right_input=3483, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2164","layer":3},{"info":"number node, value=4232","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=2834, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4232","layer":3},{"info":"compute binary expreesion, left_input=2164, right_input=4232, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=348, right_input=-527, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=3743","layer":1},{"info":"number node, value=3585","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=1926, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7486","layer":3},{"info":"compute unary expreesion, input=7486, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=7144","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=7144, right_input=1317, 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=-2394","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=7279","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=7279, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-105024","layer":3},{"info":"compute binary expreesion, left_input=-2394, right_input=-105024, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3743, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⊆⋠(↹⩛21122⪨⊡↹⩛24043))⇤((↹⩛14004⫿)⨫⇇↔(↹⩛31332⋣⋖↹⩛21042))⇄((↹⩛24333⪮%⊝↹⩛12530⊘)⩺⪪(↹⩛53024⊋≦⊧↹⩛10033)⇡⇂(↹⩛4510∠↢↹⩛53411))=↹⩛0","reverse_text":"↹⩛0=(⊆⋠(↹⩛21122⪨⊡↹⩛24043))⇤((↹⩛14004⫿)⨫⇇↔(↹⩛31332⋣⋖↹⩛21042))⇄((↹⩛24333⪮%⊝↹⩛12530⊘)⩺⪪(↹⩛53024⊋≦⊧↹⩛10033)⇡⇂(↹⩛4510∠↢↹⩛53411))","cot":[{"info":"↹⩛21122⪨⊡↹⩛24043=↹⩛0","layer":3},{"info":"⊆⋠↹⩛0=↹⩛1340","layer":2},{"info":"↹⩛14004⫿=↹⩛14004","layer":3},{"info":"↹⩛31332⋣⋖↹⩛21042=↹⩛31332","layer":3},{"info":"↹⩛14004⨫⇇↔↹⩛31332=↹⩛-2235","layer":2},{"info":"↹⩛1340⇤↹⩛-2235=↹⩛25155","layer":1},{"info":"↹⩛24333⪮%⊝↹⩛12530=↹⩛54354","layer":3},{"info":"↹⩛54354⊘=↹⩛0","layer":2},{"info":"↹⩛53024⊋≦⊧↹⩛10033=↹⩛-15030","layer":3},{"info":"↹⩛4510∠↢↹⩛53411=↹⩛-2130120","layer":3},{"info":"↹⩛-15030⇡⇂↹⩛-2130120=NaN","layer":2},{"info":"↹⩛0⩺⪪NaN=NaN","layer":1},{"info":"↹⩛25155⇄NaN=↹⩛0","layer":0}]} +{"id":887,"expression_no_base_symbol":"(↥($4374$≀⫉$4404$)⇡⇂($4063$∕⩚$9121$))⨽(($1699$∙∹∝$1070$)⫰⋱$7475$⪛$3887$)⪔($3406$⊝⪿⪼$4338$)⫞⩸⩒($1258$⩦$2202$)","expression":"(↥(↹⩛32130≀⫉↹⩛32220)⇡⇂(↹⩛30451∕⩚↹⩛110121))⨽((↹⩛11511∙∹∝↹⩛4542)⫰⋱↹⩛54335⪛↹⩛25555)⪔(↹⩛23434⊝⪿⪼↹⩛32030)⫞⩸⩒(↹⩛5454⩦↹⩛14110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":44159,"operation_count":12,"complexity_ratio":3679.9166666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4374,"base":6},"right_expr":{"type":"numeric_atoms","value":4404,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4063,"base":6},"right_expr":{"type":"numeric_atoms","value":9121,"base":6}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1699,"base":6},"right_expr":{"type":"numeric_atoms","value":1070,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7475,"base":6},"right_expr":{"type":"numeric_atoms","value":3887,"base":6}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3406,"base":6},"right_expr":{"type":"numeric_atoms","value":4338,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1258,"base":6},"right_expr":{"type":"numeric_atoms","value":2202,"base":6}}}}},"used_operators":["8HhzD0ZcuI","A8NUZmVepG","UMwdvZNt44","oZj3VtZNQx","z9ffQ9n5Zr","GjBEYRfMaF","6o9Blt3TJ6","HmxsFra2vL","uFcxV4UQCh","XGcMNugi78","3Oe9XWJUTD","0kmYd0q39Y"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4374","layer":4},{"info":"number node, value=4404","layer":4},{"info":"compute binary expreesion, left_input=4374, right_input=4404, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4063","layer":4},{"info":"number node, value=9121","layer":4},{"info":"compute binary expreesion, left_input=4063, right_input=9121, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4066","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-4066, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=1699","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=1070, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=7475","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=7475, right_input=3887, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3588","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3588, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":2},{"info":"number node, value=3406","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=4338, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=61022","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=2202, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2516","layer":3},{"info":"compute binary expreesion, left_input=61022, right_input=2516, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2516","layer":2},{"info":"compute binary expreesion, left_input=33, right_input=2516, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↥(↹⩛32130≀⫉↹⩛32220)⇡⇂(↹⩛30451∕⩚↹⩛110121))⨽((↹⩛11511∙∹∝↹⩛4542)⫰⋱↹⩛54335⪛↹⩛25555)⪔(↹⩛23434⊝⪿⪼↹⩛32030)⫞⩸⩒(↹⩛5454⩦↹⩛14110)=NaN","reverse_text":"NaN=(↥(↹⩛32130≀⫉↹⩛32220)⇡⇂(↹⩛30451∕⩚↹⩛110121))⨽((↹⩛11511∙∹∝↹⩛4542)⫰⋱↹⩛54335⪛↹⩛25555)⪔(↹⩛23434⊝⪿⪼↹⩛32030)⫞⩸⩒(↹⩛5454⩦↹⩛14110)","cot":[{"info":"↹⩛32130≀⫉↹⩛32220=↹⩛21022","layer":3},{"info":"↹⩛30451∕⩚↹⩛110121=↹⩛-30454","layer":3},{"info":"↹⩛21022⇡⇂↹⩛-30454=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"↹⩛11511∙∹∝↹⩛4542=↹⩛0","layer":3},{"info":"↹⩛54335⪛↹⩛25555=↹⩛24340","layer":3},{"info":"↹⩛0⫰⋱↹⩛24340=↹⩛53","layer":2},{"info":"↹⩛23434⊝⪿⪼↹⩛32030=↹⩛1150302","layer":3},{"info":"↹⩛5454⩦↹⩛14110=↹⩛15352","layer":3},{"info":"↹⩛1150302⫞⩸⩒↹⩛15352=↹⩛15352","layer":2},{"info":"↹⩛53⪔↹⩛15352=↹⩛2030","layer":1},{"info":"NaN⨽↹⩛2030=NaN","layer":0}]} +{"id":888,"expression_no_base_symbol":"((($1137$≬⋮$1235$)⪉⨛($4712$⩢≌))⨽⪊≇)⋩≍≻","expression":"(((↹⩛5133≬⋮↹⩛5415)⪉⨛(↹⩛33452⩢≌))⨽⪊≇)⋩≍≻","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":286,"operation_count":5,"complexity_ratio":57.2,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1137,"base":6},"right_expr":{"type":"numeric_atoms","value":1235,"base":6}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":4712,"base":6}}}}},"used_operators":["WYd1w68Nbz","nlCqmYiOvY","EWw2JM7wp4","kbkesczE7y","D617RFjZIq"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","hTbEZDJLEm","o20kRiQErp"],"result":"↹⩛-131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1137","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1235, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4712","layer":4},{"info":"compute unary expreesion, input=4712, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=113, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2706","layer":2},{"info":"compute unary expreesion, input=2706, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=4886","layer":1},{"info":"compute unary expreesion, input=4886, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛5133≬⋮↹⩛5415)⪉⨛(↹⩛33452⩢≌))⨽⪊≇)⋩≍≻=↹⩛-131","reverse_text":"↹⩛-131=(((↹⩛5133≬⋮↹⩛5415)⪉⨛(↹⩛33452⩢≌))⨽⪊≇)⋩≍≻","cot":[{"info":"↹⩛5133≬⋮↹⩛5415=↹⩛4004","layer":3},{"info":"↹⩛33452⩢≌=↹⩛305","layer":3},{"info":"↹⩛4004⪉⨛↹⩛305=↹⩛20310","layer":2},{"info":"↹⩛20310⨽⪊≇=↹⩛34342","layer":1},{"info":"↹⩛34342⋩≍≻=↹⩛-131","layer":0}]} +{"id":889,"expression_no_base_symbol":"↩((⊖$1183$)⫲≸⪮($2348$⊦⊿))⇡⇂(($2964$⨼⩣$4514$)↓($1988$⪇≇⋚$1930$))","expression":"↩((⊖↹⩛5251)⫲≸⪮(↹⩛14512⊦⊿))⇡⇂((↹⩛21420⨼⩣↹⩛32522)↓(↹⩛13112⪇≇⋚↹⩛12534))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3177,"operation_count":8,"complexity_ratio":397.125,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1183,"base":6}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2348,"base":6}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2964,"base":6},"right_expr":{"type":"numeric_atoms","value":4514,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1988,"base":6},"right_expr":{"type":"numeric_atoms","value":1930,"base":6}}}}},"used_operators":["jLgFTUHLKL","UMwdvZNt44","P3lXMJvFrc","U6pG0PXrV3","14qkJME0vr","Af076pWI7l","JxwMv5le6e","3sJ7IOPOlU"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛-101315232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":4},{"info":"compute unary expreesion, input=1183, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7123","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7123, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":2},{"info":"number node, value=2964","layer":4},{"info":"number node, value=4514","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=4514, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=1930, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-242, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":1},{"info":"compute unary expreesion, input=219356, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-1752068","layer":0}],"base":6,"result_base":6,"text":"↩((⊖↹⩛5251)⫲≸⪮(↹⩛14512⊦⊿))⇡⇂((↹⩛21420⨼⩣↹⩛32522)↓(↹⩛13112⪇≇⋚↹⩛12534))=↹⩛-101315232","reverse_text":"↹⩛-101315232=↩((⊖↹⩛5251)⫲≸⪮(↹⩛14512⊦⊿))⇡⇂((↹⩛21420⨼⩣↹⩛32522)↓(↹⩛13112⪇≇⋚↹⩛12534))","cot":[{"info":"⊖↹⩛5251=↹⩛0","layer":3},{"info":"↹⩛14512⊦⊿=↹⩛-52551","layer":3},{"info":"↹⩛0⫲≸⪮↹⩛-52551=↹⩛0","layer":2},{"info":"↹⩛21420⨼⩣↹⩛32522=NaN","layer":3},{"info":"↹⩛13112⪇≇⋚↹⩛12534=↹⩛0","layer":3},{"info":"NaN↓↹⩛0=↹⩛-1042","layer":2},{"info":"↹⩛0⇡⇂↹⩛-1042=↹⩛4411312","layer":1},{"info":"↩↹⩛4411312=↹⩛-101315232","layer":0}]} +{"id":890,"expression_no_base_symbol":"($2036$⨘⋶⪀)⪝($2536$∲⫓$1413$)≎⪠((↘$5068$)+$5999$⩁⩘$1481$)⇋≉","expression":"(↹⩛13232⨘⋶⪀)⪝(↹⩛15424∲⫓↹⩛10313)≎⪠((↘↹⩛35244)+↹⩛43435⩁⩘↹⩛10505)⇋≉","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19643,"operation_count":8,"complexity_ratio":2455.375,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2036,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2536,"base":6},"right_expr":{"type":"numeric_atoms","value":1413,"base":6}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5068,"base":6}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5999,"base":6},"right_expr":{"type":"numeric_atoms","value":1481,"base":6}}}}},"used_operators":["XIabStNQrY","aNhz54LH3e","wicAB68Tmb","XVKwrhznBb","i8ToyICDmI","W4YGzv6Whe","LdNpr8hQHL","gub5Cegaqo"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","DpFCA1CohY","IWmyXbctLI"],"result":"↹⩛500350","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=2536","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=1413, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=5068","layer":4},{"info":"compute unary expreesion, input=5068, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=364","layer":3},{"info":"number node, value=5999","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=1481, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6872","layer":3},{"info":"compute binary expreesion, left_input=364, right_input=6872, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7236","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7236, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=39018","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13232⨘⋶⪀)⪝(↹⩛15424∲⫓↹⩛10313)≎⪠((↘↹⩛35244)+↹⩛43435⩁⩘↹⩛10505)⇋≉=↹⩛500350","reverse_text":"↹⩛500350=(↹⩛13232⨘⋶⪀)⪝(↹⩛15424∲⫓↹⩛10313)≎⪠((↘↹⩛35244)+↹⩛43435⩁⩘↹⩛10505)⇋≉","cot":[{"info":"↹⩛13232⨘⋶⪀=NaN","layer":3},{"info":"↹⩛15424∲⫓↹⩛10313=↹⩛0","layer":3},{"info":"NaN⪝↹⩛0=NaN","layer":2},{"info":"↘↹⩛35244=↹⩛1404","layer":3},{"info":"↹⩛43435⩁⩘↹⩛10505=↹⩛51452","layer":3},{"info":"↹⩛1404+↹⩛51452=↹⩛53300","layer":2},{"info":"NaN≎⪠↹⩛53300=↹⩛230314","layer":1},{"info":"↹⩛230314⇋≉=↹⩛500350","layer":0}]} +{"id":891,"expression_no_base_symbol":"(⫶⊄≣($4813$↳∿⪆$5876$⨵⪆$4452$⊬⨰$1079$))⪨≂(⩒∊$1579$)∺≝⩲($2205$∣$4060$)⇍⊗$1321$⇂≾⫗$2059$⋹⋡⊁($5665$∘$1951$)","expression":"(⫶⊄≣(↹⩛34141↳∿⪆↹⩛43112⨵⪆↹⩛32340⊬⨰↹⩛4555))⪨≂(⩒∊↹⩛11151)∺≝⩲(↹⩛14113∣↹⩛30444)⇍⊗↹⩛10041⇂≾⫗↹⩛13311⋹⋡⊁(↹⩛42121∘↹⩛13011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65334,"operation_count":12,"complexity_ratio":5444.5,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4813,"base":6},"right_expr":{"type":"numeric_atoms","value":5876,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4452,"base":6},"right_expr":{"type":"numeric_atoms","value":1079,"base":6}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1579,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2205,"base":6},"right_expr":{"type":"numeric_atoms","value":4060,"base":6}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1321,"base":6},"right_expr":{"type":"numeric_atoms","value":2059,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5665,"base":6},"right_expr":{"type":"numeric_atoms","value":1951,"base":6}}}}},"used_operators":["sdazOOVcIp","wxb3vTeyAj","2DQ55sFlQl","Cw4SuJJGHO","s3Fd5m9Dh2","5uvYHDjeKN","KPf6cnQVty","qazvmhNBbN","PPChnnnBFF","As8RqfVLgs","aBQ6xLxuTc","Z5m6OM72h2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛31425224","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4813","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=4813, right_input=5876, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4452","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=1079, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7712","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7712, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=460369","layer":1},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2401","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=4060, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2205","layer":3},{"info":"compute binary expreesion, left_input=2401, right_input=2205, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1321","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=2059, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=5665","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=5665, right_input=1951, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=11330","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=11330, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=12080","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=12080, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=460369, right_input=-244, 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=921328","layer":0}],"base":6,"result_base":6,"text":"(⫶⊄≣(↹⩛34141↳∿⪆↹⩛43112⨵⪆↹⩛32340⊬⨰↹⩛4555))⪨≂(⩒∊↹⩛11151)∺≝⩲(↹⩛14113∣↹⩛30444)⇍⊗↹⩛10041⇂≾⫗↹⩛13311⋹⋡⊁(↹⩛42121∘↹⩛13011)=↹⩛31425224","reverse_text":"↹⩛31425224=(⫶⊄≣(↹⩛34141↳∿⪆↹⩛43112⨵⪆↹⩛32340⊬⨰↹⩛4555))⪨≂(⩒∊↹⩛11151)∺≝⩲(↹⩛14113∣↹⩛30444)⇍⊗↹⩛10041⇂≾⫗↹⩛13311⋹⋡⊁(↹⩛42121∘↹⩛13011)","cot":[{"info":"↹⩛34141↳∿⪆↹⩛43112=NaN","layer":3},{"info":"↹⩛32340⊬⨰↹⩛4555=↹⩛55412","layer":3},{"info":"NaN⨵⪆↹⩛55412=↹⩛424","layer":2},{"info":"⫶⊄≣↹⩛424=↹⩛13511201","layer":1},{"info":"⩒∊↹⩛11151=↹⩛15041","layer":3},{"info":"↹⩛14113∣↹⩛30444=↹⩛14113","layer":3},{"info":"↹⩛15041∺≝⩲↹⩛14113=↹⩛424","layer":2},{"info":"↹⩛10041⇂≾⫗↹⩛13311=↹⩛-3044","layer":3},{"info":"↹⩛42121∘↹⩛13011=↹⩛124242","layer":3},{"info":"↹⩛-3044⋹⋡⊁↹⩛124242=↹⩛131532","layer":2},{"info":"↹⩛424⇍⊗↹⩛131532=↹⩛-1044","layer":1},{"info":"↹⩛13511201⪨≂↹⩛-1044=↹⩛31425224","layer":0}]} +{"id":892,"expression_no_base_symbol":"(⋗⩴⪓(($1088$⊔$6346$)⪮%⊝($6751$+$1973$)))⪬(⪸(⨞⊢$1542$∴$1181$))","expression":"(⋗���⪓((↹⩛5012⊔↹⩛45214)⪮%⊝(↹⩛51131+↹⩛13045)))⪬(⪸(⨞⊢↹⩛11050∴↹⩛5245))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":64005,"operation_count":8,"complexity_ratio":8000.625,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1088,"base":6},"right_expr":{"type":"numeric_atoms","value":6346,"base":6}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6751,"base":6},"right_expr":{"type":"numeric_atoms","value":1973,"base":6}}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1542,"base":6},"right_expr":{"type":"numeric_atoms","value":1181,"base":6}}}}},"used_operators":["Ez1Nq5fNfI","nOKPl9n5zu","IWmyXbctLI","E4l6HwMY31","W4YGzv6Whe","86A5ENbKR9","xUOZtlo3hN","hrf7POJlIJ"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=6346","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=6346, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=31506","layer":3},{"info":"number node, value=6751","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=6751, right_input=1973, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8724","layer":3},{"info":"compute binary expreesion, left_input=31506, right_input=8724, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=63328","layer":2},{"info":"compute unary expreesion, input=63328, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-62415","layer":1},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1181, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4732","layer":3},{"info":"compute unary expreesion, input=4732, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4906","layer":2},{"info":"compute unary expreesion, input=-4906, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=47162","layer":1},{"info":"compute binary expreesion, left_input=-62415, right_input=47162, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(⋗⩴⪓((↹⩛5012⊔↹⩛45214)⪮%⊝(↹⩛51131+↹⩛13045)))⪬(⪸(⨞⊢↹⩛11050∴↹⩛5245))=↹⩛5414","reverse_text":"↹⩛5414=(⋗⩴⪓((↹⩛5012⊔↹⩛45214)⪮%⊝(↹⩛51131+↹⩛13045)))⪬(⪸(⨞⊢↹⩛11050∴↹⩛5245))","cot":[{"info":"↹⩛5012⊔↹⩛45214=↹⩛401510","layer":3},{"info":"↹⩛51131+↹⩛13045=↹⩛104220","layer":3},{"info":"↹⩛401510⪮%⊝↹⩛104220=↹⩛1205104","layer":2},{"info":"⋗⩴⪓↹⩛1205104=↹⩛-1200543","layer":1},{"info":"↹⩛11050∴↹⩛5245=↹⩛33524","layer":3},{"info":"⨞⊢↹⩛33524=↹⩛-34414","layer":2},{"info":"⪸↹⩛-34414=↹⩛1002202","layer":1},{"info":"↹⩛-1200543⪬↹⩛1002202=↹⩛5414","layer":0}]} +{"id":893,"expression_no_base_symbol":"((⨵≀≌$1412$)+⇶⊼$1079$∓⋝$2783$)⩼⇪↪(($3138$∲⫓$2300$)⨰(⫟$5443$))∑⇟⊟(≤/((∤$1418$)⫚↹⊑$6009$∌↝$6078$))","expression":"((⨵≀≌↹⩛10312)+⇶⊼↹⩛4555∓⋝↹⩛20515)⩼⇪↪((↹⩛22310∲⫓↹⩛14352)⨰(⫟↹⩛41111))∑⇟⊟(≤/((∤↹⩛10322)⫚↹⊑↹⩛43453∌↝↹⩛44050))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":873014,"operation_count":12,"complexity_ratio":72751.16666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1412,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1079,"base":6},"right_expr":{"type":"numeric_atoms","value":2783,"base":6}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3138,"base":6},"right_expr":{"type":"numeric_atoms","value":2300,"base":6}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5443,"base":6}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1418,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":6009,"base":6},"right_expr":{"type":"numeric_atoms","value":6078,"base":6}}}}},"used_operators":["U7g4x0WXJJ","ocnLzx9CaJ","TpPTUOHfaN","srAu1WTS94","PoHhknlbAi","eewbuw0ToL","i8ToyICDmI","z4E1FaHLuy","eLAdDNolq6","dfKe02y8D2","k2HlF1dBQh","9Isq31Ruls"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1412","layer":4},{"info":"compute unary expreesion, input=1412, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4236","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=2783, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-4236, right_input=67, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3138","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=2300, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5443","layer":4},{"info":"compute unary expreesion, input=5443, 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=-15422","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-15422, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=15432","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15432, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=6009","layer":4},{"info":"number node, value=6078","layer":4},{"info":"compute binary expreesion, left_input=6009, right_input=6078, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=931","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=931, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⨵≀≌↹⩛10312)+⇶⊼↹⩛4555∓⋝↹⩛20515)⩼⇪↪((↹⩛22310∲⫓↹⩛14352)⨰(⫟↹⩛41111))∑⇟⊟(≤/((∤↹⩛10322)⫚↹⊑↹⩛43453∌↝↹⩛44050))=NaN","reverse_text":"NaN=((⨵≀≌↹⩛10312)+⇶⊼↹⩛4555∓⋝↹⩛20515)⩼⇪↪((↹⩛22310∲⫓↹⩛14352)⨰(⫟↹⩛41111))∑⇟⊟(≤/((∤↹⩛10322)⫚↹⊑↹⩛43453∌↝↹⩛44050))","cot":[{"info":"⨵≀≌��⩛10312=↹⩛-31340","layer":3},{"info":"↹⩛4555∓⋝↹⩛20515=↹⩛151","layer":3},{"info":"↹⩛-31340+⇶⊼↹⩛151=NaN","layer":2},{"info":"↹⩛22310∲⫓↹⩛14352=↹⩛0","layer":3},{"info":"⫟↹⩛41111=↹⩛-155222","layer":3},{"info":"↹⩛0⨰↹⩛-155222=↹⩛155240","layer":2},{"info":"NaN⩼⇪↪↹⩛155240=NaN","layer":1},{"info":"∤↹⩛10322=↹⩛13","layer":3},{"info":"↹⩛43453∌↝↹⩛44050=↹⩛0","layer":3},{"info":"↹⩛13⫚↹⊑↹⩛0=↹⩛-2023","layer":2},{"info":"≤/↹⩛-2023=↹⩛4151","layer":1},{"info":"NaN∑⇟⊟↹⩛4151=NaN","layer":0}]} +{"id":894,"expression_no_base_symbol":"(($2751$⨲)⪛⫼($6672$⨑≵⋬$2757$)/($7186$⇽⩪)⇷($1106$⩢≌))⪔((($1341$∥⊢⊲$3038$)⫿)∷($3866$⩒⫫$3288$)⨼⩣$1193$↤⩊$1827$)","expression":"((↹⩛20423⨲)⪛⫼(↹⩛50520⨑≵⋬↹⩛20433)/(↹⩛53134⇽⩪)⇷(↹⩛5042⩢≌))⪔(((↹⩛10113∥⊢⊲↹⩛22022)⫿)∷(↹⩛25522⩒⫫↹⩛23120)⨼⩣↹⩛5305↤⩊↹⩛12243)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10177495,"operation_count":14,"complexity_ratio":726963.9285714285,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2751,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6672,"base":6},"right_expr":{"type":"numeric_atoms","value":2757,"base":6}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":7186,"base":6}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1106,"base":6}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1341,"base":6},"right_expr":{"type":"numeric_atoms","value":3038,"base":6}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3866,"base":6},"right_expr":{"type":"numeric_atoms","value":3288,"base":6}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1193,"base":6},"right_expr":{"type":"numeric_atoms","value":1827,"base":6}}}}},"used_operators":["GjBEYRfMaF","XhwjNDsVaA","hyuBjUqXlG","nLYMGWM7L8","XnXgA4xnOs","mp7IySMOzn","FonBHBYJbU","D617RFjZIq","D3AQDKkPcf","9tKT6PmtkH","v1UQAVDJRr","JxwMv5le6e","KFSx94NKJn","13rbtpv6ld"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","hTbEZDJLEm","o20kRiQErp","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","EBcxylXtPf","rGHVDoGpnC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=487151821","layer":3},{"info":"number node, value=6672","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=2757, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=15440","layer":3},{"info":"compute binary expreesion, left_input=487151821, right_input=15440, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=7186","layer":4},{"info":"compute unary expreesion, input=7186, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=14894","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=14894, right_input=113, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=226","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=226, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":1},{"info":"number node, value=1341","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=3038, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":2},{"info":"number node, value=3866","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=3866, right_input=3288, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3564","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=1827, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3564, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛20423⨲)⪛⫼(↹⩛50520⨑≵⋬↹⩛20433)/(↹⩛53134⇽⩪)⇷(↹⩛5042⩢≌))⪔(((↹⩛10113∥⊢⊲↹⩛22022)⫿)∷(↹⩛25522⩒⫫↹⩛23120)⨼⩣↹⩛5305↤⩊↹⩛12243)=NaN","reverse_text":"NaN=((↹⩛20423⨲)⪛⫼(↹⩛50520⨑≵⋬↹⩛20433)/(↹⩛53134⇽⩪)⇷(↹⩛5042⩢≌))⪔(((↹⩛10113∥⊢⊲↹⩛22022)⫿)∷(↹⩛25522⩒⫫↹⩛23120)⨼⩣↹⩛5305↤⩊↹⩛12243)","cot":[{"info":"↹⩛20423⨲=↹⩛120201204301","layer":3},{"info":"↹⩛50520⨑≵⋬↹⩛20433=↹⩛155252","layer":3},{"info":"↹⩛120201204301⪛⫼↹⩛155252=↹⩛4252","layer":2},{"info":"↹⩛53134⇽⩪=↹⩛152542","layer":3},{"info":"↹⩛5042⩢≌=↹⩛305","layer":3},{"info":"↹⩛152542⇷↹⩛305=↹⩛1014","layer":2},{"info":"↹⩛4252/↹⩛1014=↹⩛4","layer":1},{"info":"↹⩛10113∥⊢⊲↹⩛22022=NaN","layer":3},{"info":"NaN⫿=NaN","layer":2},{"info":"↹⩛25522⩒⫫↹⩛23120=↹⩛24300","layer":3},{"info":"↹⩛5305↤⩊↹⩛12243=NaN","layer":3},{"info":"↹⩛24300⨼⩣NaN=NaN","layer":2},{"info":"NaN∷NaN=NaN","layer":1},{"info":"↹⩛4⪔NaN=NaN","layer":0}]} +{"id":895,"expression_no_base_symbol":"(($3185$∘$7005$↡⊰⫅($6368$⊀⩕))⫏⊷)⇡⇂((⊈$5443$)⪔⊥($4000$⇴$4859$)⩹$3756$⇂≾⫗$1266$⨰($7274$⋥≓≎$1837$))","expression":"((↹⩛22425∘↹⩛52233↡⊰⫅(↹⩛45252⊀⩕))⫏⊷)⇡⇂((⊈↹⩛41111)⪔⊥(↹⩛30304⇴↹⩛34255)⩹↹⩛25220⇂≾⫗↹⩛5510⨰(↹⩛53402⋥≓≎↹⩛12301))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":689806,"operation_count":12,"complexity_ratio":57483.833333333336,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3185,"base":6},"right_expr":{"type":"numeric_atoms","value":7005,"base":6}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":6368,"base":6}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":5443,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4000,"base":6},"right_expr":{"type":"numeric_atoms","value":4859,"base":6}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3756,"base":6},"right_expr":{"type":"numeric_atoms","value":1266,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7274,"base":6},"right_expr":{"type":"numeric_atoms","value":1837,"base":6}}}}},"used_operators":["UMwdvZNt44","dcShxvzhyw","VCtxkLNOzz","Z5m6OM72h2","r0FS3hW4cC","2Wsdkap16l","HJ9erzHUuu","RHru8klgy8","4JB6nKBMSY","eewbuw0ToL","aBQ6xLxuTc","Qy55tPpLXF"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eH2TOUuTDT","rysDP5nf3Z","rGHVDoGpnC","nhYeJWJD5X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-3435","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3185","layer":4},{"info":"number node, value=7005","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=7005, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=6370","layer":3},{"info":"number node, value=6368","layer":4},{"info":"compute unary expreesion, input=6368, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6370, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":1},{"info":"number node, value=5443","layer":4},{"info":"compute unary expreesion, input=5443, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-5617","layer":3},{"info":"number node, value=4000","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=4859, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=33332","layer":3},{"info":"compute binary expreesion, left_input=-5617, right_input=33332, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-89331","layer":2},{"info":"number node, value=3756","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=1266, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=7274","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=7274, right_input=1837, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3567","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-3567, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2901","layer":2},{"info":"compute binary expreesion, left_input=-89331, right_input=2901, 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=2899","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=2899, 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=-815","layer":0}],"base":6,"result_base":6,"text":"((↹⩛22425∘↹⩛52233↡⊰⫅(↹⩛45252⊀⩕))⫏⊷)⇡⇂((⊈↹⩛41111)⪔⊥(↹⩛30304⇴↹⩛34255)⩹↹⩛25220⇂≾⫗↹⩛5510⨰(↹⩛53402⋥≓≎↹⩛12301))=↹⩛-3435","reverse_text":"↹⩛-3435=((↹⩛22425∘↹⩛52233↡⊰⫅(↹⩛45252⊀⩕))⫏⊷)⇡⇂((⊈↹⩛41111)⪔⊥(↹⩛30304⇴↹⩛34255)⩹↹⩛25220⇂≾⫗↹⩛5510⨰(↹⩛53402⋥≓≎↹⩛12301))","cot":[{"info":"↹⩛22425∘↹⩛52233=↹⩛45254","layer":3},{"info":"↹⩛45252⊀⩕=↹⩛0","layer":3},{"info":"↹⩛45254↡⊰⫅↹⩛0=↹⩛0","layer":2},{"info":"↹⩛0⫏⊷=↹⩛-3442","layer":1},{"info":"⊈↹⩛41111=↹⩛-42001","layer":3},{"info":"↹⩛30304⇴↹⩛34255=↹⩛414152","layer":3},{"info":"↹⩛-42001⪔⊥↹⩛414152=↹⩛-1525323","layer":2},{"info":"↹⩛25220⇂≾⫗↹⩛5510=↹⩛-3044","layer":3},{"info":"↹⩛53402⋥≓≎↹⩛12301=↹⩛-24303","layer":3},{"info":"↹⩛-3044⨰↹⩛-24303=↹⩛21233","layer":2},{"info":"↹⩛-1525323⩹↹⩛21233=↹⩛21231","layer":1},{"info":"↹⩛-3442⇡⇂↹⩛21231=↹⩛-3435","layer":0}]} +{"id":896,"expression_no_base_symbol":"(⇋↷(($1165$⇮⋭$6624$)⫰⋱($6057$⪹)))⋥≓≎((⨦⪝($3460$⊦⊿))↺$1241$⩦$8597$⇌⫙⪟($3994$≀⩗∶$3565$))","expression":"(⇋↷((↹⩛5221⇮⋭↹⩛50400)⫰⋱(↹⩛44013⪹)))⋥≓≎((⨦⪝(↹⩛24004⊦⊿))↺↹⩛5425⩦↹⩛103445⇌⫙⪟(↹⩛30254≀⩗∶↹⩛24301))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":162,"operation_count":11,"complexity_ratio":14.727272727272727,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1165,"base":6},"right_expr":{"type":"numeric_atoms","value":6624,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":6057,"base":6}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3460,"base":6}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1241,"base":6},"right_expr":{"type":"numeric_atoms","value":8597,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3994,"base":6},"right_expr":{"type":"numeric_atoms","value":3565,"base":6}}}}},"used_operators":["Qy55tPpLXF","SWo3A1KBJH","6o9Blt3TJ6","vkpjKywKVM","B3sABdIn96","7j4O788W3g","SUjycxNXIR","14qkJME0vr","AFVx7xoS7T","0kmYd0q39Y","8INZBEW696"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛-25313","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"number node, value=6624","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=6624, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=6057","layer":4},{"info":"compute unary expreesion, input=6057, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=16606","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=16606, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=506","layer":2},{"info":"compute unary expreesion, input=506, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=4048","layer":1},{"info":"number node, value=3460","layer":4},{"info":"compute unary expreesion, input=3460, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10459","layer":3},{"info":"compute unary expreesion, input=-10459, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=8597","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=8597, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2482","layer":3},{"info":"number node, value=3994","layer":4},{"info":"number node, value=3565","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=3565, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2482, right_input=0, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=113, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=4048, right_input=113, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3789","layer":0}],"base":6,"result_base":6,"text":"(⇋↷((↹⩛5221⇮⋭↹⩛50400)⫰⋱(↹⩛44013⪹)))⋥≓≎((⨦⪝(↹⩛24004⊦⊿))↺↹⩛5425⩦↹⩛103445⇌⫙⪟(↹⩛30254≀⩗∶↹⩛24301))=↹⩛-25313","reverse_text":"↹⩛-25313=(⇋↷((↹⩛5221⇮⋭↹⩛50400)⫰⋱(↹⩛44013⪹)))⋥≓≎((⨦⪝(↹⩛24004⊦⊿))↺↹⩛5425⩦↹⩛103445⇌⫙⪟(↹⩛30254≀⩗∶↹⩛24301))","cot":[{"info":"↹⩛5221⇮⋭↹⩛50400=↹⩛-2105","layer":3},{"info":"↹⩛44013⪹=↹⩛204514","layer":3},{"info":"↹⩛-2105⫰⋱↹⩛204514=↹⩛2202","layer":2},{"info":"⇋↷↹⩛2202=↹⩛30424","layer":1},{"info":"↹⩛24004⊦⊿=↹⩛-120231","layer":3},{"info":"⨦⪝↹⩛-120231=↹⩛-12420","layer":2},{"info":"↹⩛5425⩦↹⩛103445=↹⩛15254","layer":3},{"info":"↹⩛30254≀⩗∶↹⩛24301=↹⩛0","layer":3},{"info":"↹⩛15254⇌⫙⪟↹⩛0=↹⩛305","layer":2},{"info":"↹⩛-12420↺↹⩛305=↹⩛305","layer":1},{"info":"↹⩛30424⋥≓≎↹⩛305=↹⩛-25313","layer":0}]} +{"id":897,"expression_no_base_symbol":"(⊥(($2351$⪨≂$1502$)*$2767$⪝$1541$))⫳≱↱(($7090$∷$3287$)↺$1248$⨚$1051$)⇻⋧≁(($2451$⨉)⋝⋈⪟($1675$⩤))","expression":"(⊥((↹⩛14515⪨≂↹⩛10542)*↹⩛20451⪝↹⩛11045))⫳≱↱((↹⩛52454∷↹⩛23115)↺↹⩛5440⨚↹⩛4511)⇻⋧≁((↹⩛15203⨉)⋝⋈⪟(↹⩛11431⩤))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4937,"operation_count":12,"complexity_ratio":411.4166666666667,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2351,"base":6},"right_expr":{"type":"numeric_atoms","value":1502,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2767,"base":6},"right_expr":{"type":"numeric_atoms","value":1541,"base":6}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7090,"base":6},"right_expr":{"type":"numeric_atoms","value":3287,"base":6}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1248,"base":6},"right_expr":{"type":"numeric_atoms","value":1051,"base":6}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":2451,"base":6}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1675,"base":6}}}}},"used_operators":["ZvLB05nZmT","Q3PJZHRvZv","9HNa5Wba9A","sdazOOVcIp","wicAB68Tmb","jCPkEVoL5K","7j4O788W3g","D3AQDKkPcf","nREPSIbpBE","2DDjHMKMc0","aMUSaJuDRU","Z2TMIBDE3Q"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2351","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=1502, 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=1800","layer":3},{"info":"number node, value=2767","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=1541, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5303","layer":3},{"info":"compute binary expreesion, left_input=1800, right_input=-5303, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-9545400","layer":2},{"info":"compute unary expreesion, input=-9545400, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=7090","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=7090, right_input=3287, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3287","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1051, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-774","layer":3},{"info":"compute binary expreesion, left_input=3287, right_input=-774, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-774","layer":2},{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=7230","layer":3},{"info":"number node, value=1675","layer":4},{"info":"compute unary expreesion, input=1675, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1675","layer":3},{"info":"compute binary expreesion, left_input=7230, right_input=-1675, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7230","layer":2},{"info":"compute binary expreesion, left_input=-774, right_input=7230, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-10343","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10343, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊥((↹⩛14515⪨≂↹⩛10542)*↹⩛20451⪝↹⩛11045))⫳≱↱((↹⩛52454∷↹⩛23115)↺↹⩛5440⨚↹⩛4511)⇻⋧≁((↹⩛15203⨉)⋝⋈⪟(↹⩛11431⩤))=NaN","reverse_text":"NaN=(⊥((↹⩛14515⪨≂↹⩛10542)*↹⩛20451⪝↹⩛11045))⫳≱↱((↹⩛52454∷↹⩛23115)↺↹⩛5440⨚↹⩛4511)⇻⋧≁((↹⩛15203⨉)⋝⋈⪟(↹⩛11431⩤))","cot":[{"info":"↹⩛14515⪨≂↹⩛10542=↹⩛12200","layer":3},{"info":"↹⩛20451⪝↹⩛11045=↹⩛-40315","layer":3},{"info":"↹⩛12200*↹⩛-40315=↹⩛-540331400","layer":2},{"info":"⊥↹⩛-540331400=NaN","layer":1},{"info":"↹⩛52454∷↹⩛23115=↹⩛23115","layer":3},{"info":"↹⩛5440⨚↹⩛4511=↹⩛-3330","layer":3},{"info":"↹⩛23115↺↹⩛-3330=↹⩛-3330","layer":2},{"info":"↹⩛15203⨉=↹⩛53250","layer":3},{"info":"↹⩛11431⩤=↹⩛-11431","layer":3},{"info":"↹⩛53250⋝⋈⪟↹⩛-11431=↹⩛53250","layer":2},{"info":"↹⩛-3330⇻⋧≁↹⩛53250=↹⩛-115515","layer":1},{"info":"NaN⫳≱↱↹⩛-115515=NaN","layer":0}]} +{"id":898,"expression_no_base_symbol":"(($6266$⫔⩽⩺$1845$)∇⊂⋱(↨⩢⫨$7283$))↤⩊($2544$∺≝⩲$3992$)⇻⋧≁($5902$⊨$1852$)≒∊(⊿$1332$⊉↱≁$5895$⊴($1940$↺$4283$))","expression":"((↹⩛45002⫔⩽⩺↹⩛12313)∇⊂⋱(↨⩢⫨↹⩛53415))↤⩊(↹⩛15440∺≝⩲↹⩛30252)⇻⋧≁(↹⩛43154⊨↹⩛12324)≒∊(⊿↹⩛10100⊉↱≁↹⩛43143⊴(↹⩛12552↺↹⩛31455))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13328,"operation_count":12,"complexity_ratio":1110.6666666666667,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6266,"base":6},"right_expr":{"type":"numeric_atoms","value":1845,"base":6}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":7283,"base":6}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2544,"base":6},"right_expr":{"type":"numeric_atoms","value":3992,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5902,"base":6},"right_expr":{"type":"numeric_atoms","value":1852,"base":6}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1332,"base":6},"right_expr":{"type":"numeric_atoms","value":5895,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1940,"base":6},"right_expr":{"type":"numeric_atoms","value":4283,"base":6}}}}},"used_operators":["5KTvxBwnZo","13rbtpv6ld","nhYeJWJD5X","i9eR4S00cU","Z5CJsN7DuW","jCPkEVoL5K","KPf6cnQVty","vg4gO5BX6G","DO4fhlbJSI","Nsiff2A1zJ","w2P8NbNXyL","7j4O788W3g"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6266","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=6266, right_input=1845, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=7283","layer":4},{"info":"compute unary expreesion, input=7283, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2544","layer":4},{"info":"number node, value=3992","layer":4},{"info":"compute binary expreesion, left_input=2544, right_input=3992, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5902","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=1852, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24639","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=24639, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-1225","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1225, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=1332","layer":4},{"info":"number node, value=5895","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=5895, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-23164","layer":3},{"info":"number node, value=1940","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=4283, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4283","layer":3},{"info":"compute binary expreesion, left_input=-23164, right_input=4283, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛45002⫔⩽⩺↹⩛12313)∇⊂⋱(↨⩢⫨↹⩛53415))↤⩊(↹⩛15440∺≝⩲↹⩛30252)⇻⋧≁(↹⩛43154⊨↹⩛12324)≒∊(⊿↹⩛10100⊉↱≁↹⩛43143⊴(↹⩛12552↺↹⩛31455))=NaN","reverse_text":"NaN=((↹⩛45002⫔⩽⩺↹⩛12313)∇⊂⋱(↨⩢⫨↹⩛53415))↤⩊(↹⩛15440∺≝⩲↹⩛30252)⇻⋧≁(↹⩛43154⊨↹⩛12324)≒∊(⊿↹⩛10100⊉↱≁↹⩛43143⊴(↹⩛12552↺↹⩛31455))","cot":[{"info":"↹⩛45002⫔⩽⩺↹⩛12313=NaN","layer":3},{"info":"↨⩢⫨↹⩛53415=↹⩛0","layer":3},{"info":"NaN∇⊂⋱↹⩛0=NaN","layer":2},{"info":"↹⩛15440∺≝⩲↹⩛30252=↹⩛424","layer":3},{"info":"↹⩛43154⊨↹⩛12324=↹⩛310023","layer":3},{"info":"↹⩛424⇻⋧≁↹⩛310023=↹⩛-5401","layer":2},{"info":"NaN↤⩊↹⩛-5401=NaN","layer":1},{"info":"↹⩛10100⊉↱≁↹⩛43143=↹⩛-255124","layer":3},{"info":"↹⩛12552↺↹⩛31455=↹⩛31455","layer":3},{"info":"↹⩛-255124⊴↹⩛31455=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"NaN≒∊NaN=NaN","layer":0}]} +{"id":899,"expression_no_base_symbol":"((↥≼⋛$1092$⩺⪪$2968$)*(⪫⨮⊛($4638$⫒⫫$3742$)))≃($1343$⪢$3886$⋓(∤$5353$)⨑≵⋬($6088$≹⇙⪍$4465$*(⨮↦↱$1015$)))","expression":"((↥≼⋛↹⩛5020⩺⪪↹⩛21424)*(⪫⨮⊛(↹⩛33250⫒⫫↹⩛25154)))≃(↹⩛10115⪢↹⩛25554⋓(∤↹⩛40441)⨑≵⋬(↹⩛44104≹⇙⪍↹⩛32401*(⨮↦↱↹⩛4411)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19832,"operation_count":13,"complexity_ratio":1525.5384615384614,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1092,"base":6},"right_expr":{"type":"numeric_atoms","value":2968,"base":6}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4638,"base":6},"right_expr":{"type":"numeric_atoms","value":3742,"base":6}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1343,"base":6},"right_expr":{"type":"numeric_atoms","value":3886,"base":6}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":5353,"base":6}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6088,"base":6},"right_expr":{"type":"numeric_atoms","value":4465,"base":6}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1015,"base":6}}}}},"used_operators":["YbVcJGFEVW","9HNa5Wba9A","x5lMkHmzsq","uvdQJvN4PV","w5FWba1tyO","6Ko8hGgeMq","XnXgA4xnOs","T2fj7uvVaJ","dWAJyo7jo9","k2HlF1dBQh","AHs5Up7iyr","sYcpBQ0cFf"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","dWAJyo7jo9","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2968, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-1785","layer":2},{"info":"number node, value=4638","layer":4},{"info":"number node, value=3742","layer":4},{"info":"compute binary expreesion, left_input=4638, right_input=3742, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1785, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1343","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=3886, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5353","layer":4},{"info":"compute unary expreesion, input=5353, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=6088","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=4465, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-803727","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-803727, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↥≼⋛↹⩛5020⩺⪪↹⩛21424)*(⪫⨮⊛(↹⩛33250⫒⫫↹⩛25154)))≃(↹⩛10115⪢↹⩛25554⋓(∤↹⩛40441)⨑≵⋬(↹⩛44104≹⇙⪍↹⩛32401*(⨮↦↱↹⩛4411)))=NaN","reverse_text":"NaN=((↥≼⋛↹⩛5020⩺⪪↹⩛21424)*(⪫⨮⊛(↹⩛33250⫒⫫↹⩛25154)))≃(↹⩛10115⪢↹⩛25554⋓(∤↹⩛40441)⨑≵⋬(↹⩛44104≹⇙⪍↹⩛32401*(⨮↦↱↹⩛4411)))","cot":[{"info":"↹⩛5020⩺⪪↹⩛21424=↹⩛-12230","layer":3},{"info":"↥≼⋛↹⩛-12230=↹⩛-12133","layer":2},{"info":"↹⩛33250⫒⫫↹⩛25154=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"↹⩛-12133*NaN=NaN","layer":1},{"info":"↹⩛10115⪢↹⩛25554=NaN","layer":3},{"info":"∤↹⩛40441=↹⩛13","layer":3},{"info":"NaN⋓↹⩛13=↹⩛0","layer":2},{"info":"↹⩛44104≹⇙⪍↹⩛32401=NaN","layer":3},{"info":"⨮↦↱↹⩛4411=↹⩛-25120543","layer":3},{"info":"NaN*↹⩛-25120543=NaN","layer":2},{"info":"↹⩛0⨑≵⋬NaN=NaN","layer":1},{"info":"NaN≃NaN=NaN","layer":0}]} +{"id":900,"expression_no_base_symbol":"($2546$∝$1041$)∳⫺($1372$⫸⊐$4857$)∇⊂⋱(($1403$⪷)⪍↜⋙(⩦⊞$4897$))≳⇉((≪($1463$⩘$2842$))⫔⩽⩺($1406$∖$1470$)∓⋝($1292$⇍⊗$2833$))","expression":"(↹⩛15442∝↹⩛4453)∳⫺(↹⩛10204⫸⊐↹⩛34253)∇⊂⋱((↹⩛10255⪷)⪍↜⋙(⩦⊞↹⩛34401))≳⇉((≪(↹⩛10435⩘↹⩛21054))⫔⩽⩺(↹⩛10302∖↹⩛10450)∓⋝(↹⩛5552⇍⊗↹⩛21041))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":18847,"operation_count":14,"complexity_ratio":1346.2142857142858,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2546,"base":6},"right_expr":{"type":"numeric_atoms","value":1041,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1372,"base":6},"right_expr":{"type":"numeric_atoms","value":4857,"base":6}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1403,"base":6}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":4897,"base":6}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1463,"base":6},"right_expr":{"type":"numeric_atoms","value":2842,"base":6}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1406,"base":6},"right_expr":{"type":"numeric_atoms","value":1470,"base":6}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1292,"base":6},"right_expr":{"type":"numeric_atoms","value":2833,"base":6}}}}},"used_operators":["V0kx6qeWkN","nhYeJWJD5X","AzXXKTstlj","cTDWOvIxvz","mqXw5SEYmG","L05ObWFQCd","Qctrpi3WzA","u7fv1HBiaC","i9eR4S00cU","Qtd6bqUJcN","cHh1gJQ2o6","PoHhknlbAi","tXD093vOjl","5uvYHDjeKN"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","7j4O788W3g","W4YGzv6Whe","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Nsiff2A1zJ","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2546","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=1041, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2551","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=4857","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=4857, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19303","layer":3},{"info":"compute binary expreesion, left_input=2551, right_input=19303, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-28340","layer":2},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=4897","layer":4},{"info":"compute unary expreesion, input=4897, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4624, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28340, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1463","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=2842, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=1470, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1292","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=2833, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-244, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=121, 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 = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15442∝↹⩛4453)∳⫺(↹⩛10204⫸⊐↹⩛34253)∇⊂⋱((↹⩛10255⪷)⪍↜⋙(⩦⊞↹⩛34401))≳⇉((≪(↹⩛10435⩘↹⩛21054))⫔⩽⩺(↹⩛10302∖↹⩛10450)∓⋝(↹⩛5552⇍⊗↹⩛21041))=NaN","reverse_text":"NaN=(↹⩛15442∝↹⩛4453)∳⫺(↹⩛10204⫸⊐↹⩛34253)∇⊂⋱((↹⩛10255⪷)⪍↜⋙(⩦⊞↹⩛34401))≳⇉((≪(↹⩛10435⩘↹⩛21054))⫔⩽⩺(↹⩛10302∖↹⩛10450)∓⋝(↹⩛5552⇍⊗↹⩛21041))","cot":[{"info":"↹⩛15442∝↹⩛4453=↹⩛15451","layer":3},{"info":"↹⩛10204⫸⊐↹⩛34253=↹⩛225211","layer":3},{"info":"↹⩛15451∳⫺↹⩛225211=↹⩛-335112","layer":2},{"info":"↹⩛10255⪷=NaN","layer":3},{"info":"⩦⊞↹⩛34401=↹⩛-33224","layer":3},{"info":"NaN⪍↜⋙↹⩛-33224=NaN","layer":2},{"info":"↹⩛-335112∇⊂⋱NaN=NaN","layer":1},{"info":"↹⩛10435⩘↹⩛21054=↹⩛424","layer":3},{"info":"≪↹⩛424=↹⩛4121","layer":2},{"info":"↹⩛10302∖↹⩛10450=↹⩛0","layer":3},{"info":"↹⩛5552⇍⊗↹⩛21041=↹⩛-1044","layer":3},{"info":"↹⩛0∓⋝↹⩛-1044=↹⩛321","layer":2},{"info":"↹⩛4121⫔⩽⩺↹⩛321=NaN","layer":1},{"info":"NaN≳⇉NaN=NaN","layer":0}]} +{"id":901,"expression_no_base_symbol":"⨰⫟⨤($4968$⊢$6937$⊔(-$1568$)⩎⪣⊞)","expression":"⨰⫟⨤(↹⩛35000⊢↹⩛52041⊔(-↹⩛11132)⩎⪣⊞)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":978453,"operation_count":5,"complexity_ratio":195690.6,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4968,"base":6},"right_expr":{"type":"numeric_atoms","value":6937,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1568,"base":6}}}}},"used_operators":["Tw270M8GLb","waWucp1uQ4","E4l6HwMY31","5twsqlHp2o","t8gj7n24qd"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","mp7IySMOzn","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4968","layer":4},{"info":"number node, value=6937","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=6937, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10180","layer":3},{"info":"number node, value=1568","layer":4},{"info":"compute unary expreesion, input=1568, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1568","layer":3},{"info":"compute binary expreesion, left_input=-10180, right_input=-1568, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=44511","layer":2},{"info":"compute unary expreesion, input=44511, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=89022","layer":1},{"info":"compute unary expreesion, input=89022, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨰⫟⨤(↹⩛35000⊢↹⩛52041⊔(-↹⩛11132)⩎⪣⊞)=NaN","reverse_text":"NaN=⨰⫟⨤(↹⩛35000⊢↹⩛52041⊔(-↹⩛11132)⩎⪣⊞)","cot":[{"info":"↹⩛35000⊢↹⩛52041=↹⩛-115044","layer":3},{"info":"-↹⩛11132=↹⩛-11132","layer":3},{"info":"↹⩛-115044⊔↹⩛-11132=↹⩛542023","layer":2},{"info":"↹⩛542023⩎⪣⊞=↹⩛1524050","layer":1},{"info":"⨰⫟⨤↹⩛1524050=NaN","layer":0}]} +{"id":902,"expression_no_base_symbol":"⊖($2118$⪭$1812$)∌$3431$∋$1066$⪥($7833$⩦$3060$⩨(↩⪖$5403$))","expression":"⊖(↹⩛13450⪭↹⩛12220)∌↹⩛23515∋↹⩛4534⪥(↹⩛100133⩦↹⩛22100⩨(↩⪖↹⩛41003))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":187,"operation_count":8,"complexity_ratio":23.375,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2118,"base":6},"right_expr":{"type":"numeric_atoms","value":1812,"base":6}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3431,"base":6},"right_expr":{"type":"numeric_atoms","value":1066,"base":6}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":7833,"base":6},"right_expr":{"type":"numeric_atoms","value":3060,"base":6}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":5403,"base":6}}}}},"used_operators":["U6pG0PXrV3","QbnwKVWMIQ","8cLx32lpNA","j9kHMeSvPp","ukq6epAj5P","2DlMacCsIx","0kmYd0q39Y","fG6uBQFnGz"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛40550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2118","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=1812, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3431","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3431, right_input=1066, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2333492","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=2333492, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2333492","layer":2},{"info":"number node, value=7833","layer":4},{"info":"number node, value=3060","layer":4},{"info":"compute binary expreesion, left_input=7833, right_input=3060, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=15666","layer":3},{"info":"number node, value=5403","layer":4},{"info":"compute unary expreesion, input=5403, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-35400","layer":3},{"info":"compute binary expreesion, left_input=15666, right_input=-35400, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-2333492, right_input=9, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"compute unary expreesion, input=-1798, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=5394","layer":0}],"base":6,"result_base":6,"text":"⊖(↹⩛13450⪭↹⩛12220)∌↹⩛23515∋↹⩛4534⪥(↹⩛100133⩦↹⩛22100⩨(↩⪖↹⩛41003))=↹���40550","reverse_text":"↹⩛40550=⊖(↹⩛13450⪭↹⩛12220)∌↹⩛23515∋↹⩛4534⪥(↹⩛100133⩦↹⩛22100⩨(↩⪖↹⩛41003))","cot":[{"info":"↹⩛13450⪭↹⩛12220=↹⩛5","layer":3},{"info":"↹⩛23515∋↹⩛4534=↹⩛122003112","layer":3},{"info":"↹⩛5∌↹⩛122003112=↹⩛-122003112","layer":2},{"info":"↹⩛100133⩦↹⩛22100=↹⩛200310","layer":3},{"info":"↩⪖↹⩛41003=↹⩛-431520","layer":3},{"info":"↹⩛200310⩨↹⩛-431520=↹⩛13","layer":2},{"info":"↹⩛-122003112⪥↹⩛13=↹⩛-12154","layer":1},{"info":"⊖↹⩛-12154=↹⩛40550","layer":0}]} +{"id":903,"expression_no_base_symbol":"(($7264$⇻⋧≁$3751$⊊)+⪬∐($2845$⊴$2887$↬$1622$∌↝$2773$))⊧↖","expression":"((↹⩛53344⇻⋧≁↹⩛25211⊊)+⪬∐(↹⩛21101⊴↹⩛21211↬↹⩛11302∌↝↹⩛20501))⊧↖","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":283296,"operation_count":7,"complexity_ratio":40470.857142857145,"tree":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":7264,"base":6},"right_expr":{"type":"numeric_atoms","value":3751,"base":6}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2845,"base":6},"right_expr":{"type":"numeric_atoms","value":2887,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1622,"base":6},"right_expr":{"type":"numeric_atoms","value":2773,"base":6}}}}},"used_operators":["EKiFHuOFxO","2GS7woTJqF","W9R8I5fN5A","jCPkEVoL5K","B5M0gjZbta","Nsiff2A1zJ","9Isq31Ruls"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","g55IO6H4Gj","D4vGDi5EA2","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7264","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=3751, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"number node, value=2845","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=2887, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=2773, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=90927, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-272781","layer":1},{"info":"compute unary expreesion, input=-272781, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=inf","layer":0}],"base":6,"result_base":6,"text":"((↹⩛53344⇻⋧≁↹⩛25211⊊)+⪬∐(↹⩛21101⊴↹⩛21211↬↹⩛11302∌↝↹⩛20501))⊧↖=Inf","reverse_text":"Inf=((↹⩛53344⇻⋧≁↹⩛25211⊊)+⪬∐(↹⩛21101⊴↹⩛21211↬↹⩛11302∌↝↹⩛20501))⊧↖","cot":[{"info":"↹⩛53344⇻⋧≁↹⩛25211=↹⩛-2023","layer":3},{"info":"↹⩛-2023⊊=↹⩛1540543","layer":2},{"info":"↹⩛21101⊴↹⩛21211=NaN","layer":3},{"info":"↹⩛11302∌↝↹⩛20501=↹⩛0","layer":3},{"info":"NaN↬↹⩛0=NaN","layer":2},{"info":"↹⩛1540543+⪬∐NaN=↹⩛-5502513","layer":1},{"info":"↹⩛-5502513⊧↖=Inf","layer":0}]} +{"id":904,"expression_no_base_symbol":"⋂(($1533$⋭≵$1114$)⪨⊡$1093$⨸$3773$⫸⇳($1012$⫑)⪮%⊝($3260$⊾⪯⋞$7553$))","expression":"⋂((↹⩛11033⋭≵↹⩛5054)⪨⊡↹⩛5021⨸↹⩛25245⫸⇳(↹⩛4404⫑)⪮%⊝(↹⩛23032⊾⪯⋞↹⩛54545))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1509,"operation_count":8,"complexity_ratio":188.625,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1533,"base":6},"right_expr":{"type":"numeric_atoms","value":1114,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1093,"base":6},"right_expr":{"type":"numeric_atoms","value":3773,"base":6}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1012,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3260,"base":6},"right_expr":{"type":"numeric_atoms","value":7553,"base":6}}}}},"used_operators":["BUOGQAYlQx","gx7XJ7hdpj","kuIXHzHcAH","jBncVCNhdl","KmoU8R5UQR","IWmyXbctLI","CgIo77xlM2","HK0tfVPux8"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛2432","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=1114, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=3773, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2186","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2186, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=3260","layer":4},{"info":"number node, value=7553","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=7553, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=14680","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=14680, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8274","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8274, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=596","layer":0}],"base":6,"result_base":6,"text":"⋂((↹⩛11033⋭≵↹⩛5054)⪨⊡↹⩛5021⨸↹⩛25245⫸⇳(↹⩛4404⫑)⪮%⊝(↹⩛23032⊾⪯⋞↹⩛54545))=↹⩛2432","reverse_text":"↹⩛2432=⋂((↹⩛11033⋭≵↹⩛5054)⪨⊡↹⩛5021⨸↹⩛25245⫸⇳(↹⩛4404⫑)⪮%⊝(↹⩛23032⊾⪯⋞↹⩛54545))","cot":[{"info":"↹⩛11033⋭≵↹⩛5054=↹⩛151","layer":3},{"info":"↹⩛5021⨸↹⩛25245=↹⩛14042","layer":3},{"info":"↹⩛151⪨⊡↹⩛14042=↹⩛0","layer":2},{"info":"↹⩛4404⫑=↹⩛30231","layer":3},{"info":"↹⩛23032⊾⪯⋞↹⩛54545=↹⩛151544","layer":3},{"info":"↹⩛30231⪮%⊝↹⩛151544=↹⩛102150","layer":2},{"info":"↹⩛0⫸⇳↹⩛102150=↹⩛0","layer":1},{"info":"⋂↹⩛0=↹⩛2432","layer":0}]} +{"id":905,"expression_no_base_symbol":"(⪭⩑⪱($4566$⫡⨏$4047$))⊢($2634$⨓$4533$≥⨤⩑$3821$⪝$4330$)⇀∌","expression":"(⪭⩑⪱(↹⩛33050⫡⨏↹⩛30423))⊢(↹⩛20110⨓↹⩛32553≥⨤⩑↹⩛25405⪝↹⩛32014)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4043019,"operation_count":7,"complexity_ratio":577574.1428571428,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4566,"base":6},"right_expr":{"type":"numeric_atoms","value":4047,"base":6}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2634,"base":6},"right_expr":{"type":"numeric_atoms","value":4533,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3821,"base":6},"right_expr":{"type":"numeric_atoms","value":4330,"base":6}}}}},"used_operators":["2k53nXOpI5","5twsqlHp2o","SIgE0bArFf","QMFrweE19q","gJLn6v0xnP","3ViojmjbAp","wicAB68Tmb"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4566","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=4566, right_input=4047, 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=31707","layer":3},{"info":"compute unary expreesion, input=31707, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=2634","layer":4},{"info":"number node, value=4533","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=4533, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4536","layer":3},{"info":"number node, value=3821","layer":4},{"info":"number node, value=4330","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=4330, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-4536, right_input=237, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=1234, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-16641748","layer":1},{"info":"compute unary expreesion, input=-16641748, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(⪭⩑⪱(↹⩛33050⫡⨏↹⩛30423))⊢(↹⩛20110⨓↹⩛32553≥⨤⩑↹⩛25405⪝↹⩛32014)⇀∌=↹⩛305","reverse_text":"↹⩛305=(⪭⩑⪱(↹⩛33050⫡⨏↹⩛30423))⊢(↹⩛20110⨓↹⩛32553≥⨤⩑↹⩛25405⪝↹⩛32014)⇀∌","cot":[{"info":"↹⩛33050⫡⨏↹⩛30423=↹⩛402443","layer":3},{"info":"⪭⩑⪱↹⩛402443=↹⩛454202000","layer":2},{"info":"↹⩛20110⨓↹⩛32553=↹⩛-33000","layer":3},{"info":"↹⩛25405⪝↹⩛32014=↹⩛1033","layer":3},{"info":"↹⩛-33000≥⨤⩑↹⩛1033=↹⩛5414","layer":2},{"info":"↹⩛454202000⊢↹⩛5414=↹⩛-1352405044","layer":1},{"info":"↹⩛-1352405044⇀∌=↹⩛305","layer":0}]} +{"id":906,"expression_no_base_symbol":"((↡($1605$⩨$2936$))⩹(⨦⪝$3780$)≄⊠$1414$⪝$2684$)⨿((($2187$⋥≓≎$3841$)⪇≇⋚$1023$⊕∕$1410$)⨹)","expression":"((↡(↹⩛11233⩨↹⩛21332))⩹(⨦⪝↹⩛25300)≄⊠↹⩛10314⪝↹⩛20232)⨿(((↹⩛14043⋥≓≎↹⩛25441)⪇≇⋚↹⩛4423⊕∕↹⩛10310)⨹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4005,"operation_count":11,"complexity_ratio":364.09090909090907,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1605,"base":6},"right_expr":{"type":"numeric_atoms","value":2936,"base":6}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3780,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1414,"base":6},"right_expr":{"type":"numeric_atoms","value":2684,"base":6}}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2187,"base":6},"right_expr":{"type":"numeric_atoms","value":3841,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1023,"base":6},"right_expr":{"type":"numeric_atoms","value":1410,"base":6}}}}},"used_operators":["abYXlopdE0","2Wsdkap16l","MXaNJeIAZ3","2DlMacCsIx","vXNesLlMH1","SUjycxNXIR","wicAB68Tmb","UnCoSGIALn","3sJ7IOPOlU","Qy55tPpLXF","9cloC0Ngie"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","mp7IySMOzn","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"↹⩛-1251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=2936, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-27","layer":2},{"info":"number node, value=3780","layer":4},{"info":"compute unary expreesion, input=3780, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=1414","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=2684, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=237, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-27, right_input=1500, 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=1498","layer":1},{"info":"number node, value=2187","layer":4},{"info":"number node, value=3841","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=3841, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5528","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1410, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1023","layer":3},{"info":"compute binary expreesion, left_input=5528, right_input=1023, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1498, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":6,"result_base":6,"text":"((↡(↹⩛11233⩨↹⩛21332))⩹(⨦⪝↹⩛25300)≄⊠↹⩛10314⪝↹⩛20232)⨿(((↹⩛14043⋥≓≎↹⩛25441)⪇≇⋚↹⩛4423⊕∕↹⩛10310)⨹)=↹⩛-1251","reverse_text":"↹⩛-1251=((↡(↹⩛11233⩨↹⩛21332))⩹(⨦⪝↹⩛25300)≄⊠↹⩛10314⪝↹⩛20232)⨿(((↹⩛14043⋥≓≎↹⩛25441)⪇≇⋚↹⩛4423⊕∕↹⩛10310)⨹)","cot":[{"info":"↹⩛11233⩨↹⩛21332=↹⩛-3","layer":3},{"info":"↡↹⩛-3=↹⩛-43","layer":2},{"info":"⨦⪝↹⩛25300=↹⩛-12420","layer":3},{"info":"↹⩛10314⪝↹⩛20232=↹⩛1033","layer":3},{"info":"↹⩛-12420≄⊠↹⩛1033=↹⩛10540","layer":2},{"info":"↹⩛-43⩹↹⩛10540=↹⩛10534","layer":1},{"info":"↹⩛14043⋥≓≎↹⩛25441=↹⩛41332","layer":3},{"info":"↹⩛4423⊕∕↹⩛10310=↹⩛4423","layer":3},{"info":"↹⩛41332⪇≇⋚↹⩛4423=↹⩛0","layer":2},{"info":"↹⩛0⨹=↹⩛0","layer":1},{"info":"↹⩛10534⨿↹⩛0=↹⩛-1251","layer":0}]} +{"id":907,"expression_no_base_symbol":"(⇐((≑⋹$1176$)⪍���⋙($1884$∠⫱$2863$)))≦↸(↩⪖($1977$≚⊃≕$2031$↱(⨝⨆$1850$)))","expression":"(⇐((≑⋹↹⩛5240)⪍↜⋙(↹⩛12420∠⫱↹⩛21131)))≦↸(↩⪖(↹⩛13053≚⊃≕↹⩛13223↱(⨝⨆↹⩛12322)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":293,"operation_count":9,"complexity_ratio":32.55555555555556,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1176,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1884,"base":6},"right_expr":{"type":"numeric_atoms","value":2863,"base":6}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1977,"base":6},"right_expr":{"type":"numeric_atoms","value":2031,"base":6}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1850,"base":6}}}}},"used_operators":["RygbFNSyEJ","nmZMaaE0Q9","L05ObWFQCd","6B9nyZLogK","QvoQhV0rrE","fG6uBQFnGz","SR5kFfdi6N","Bmrmz2XGnR","bQ67fsrMVf"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tifHPKVTfV"],"result":"↹⩛-2324031","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1884","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=2863, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=1234, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=832","layer":2},{"info":"compute unary expreesion, input=832, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=978","layer":1},{"info":"number node, value=1977","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=2031, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1850","layer":4},{"info":"compute unary expreesion, input=1850, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1641","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1641, 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=-4401","layer":2},{"info":"compute unary expreesion, input=-4401, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=59420","layer":1},{"info":"compute binary expreesion, left_input=978, right_input=59420, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-120115","layer":0}],"base":6,"result_base":6,"text":"(⇐((≑⋹↹⩛5240)⪍↜⋙(↹⩛12420∠⫱↹⩛21131)))≦↸(↩⪖(↹⩛13053≚⊃≕↹⩛13223↱(⨝⨆↹⩛12322)))=↹⩛-2324031","reverse_text":"↹⩛-2324031=(⇐((≑⋹↹⩛5240)⪍↜⋙(↹⩛12420∠⫱↹⩛21131)))≦↸(↩⪖(↹⩛13053≚⊃≕↹⩛13223↱(⨝⨆↹⩛12322)))","cot":[{"info":"≑⋹↹⩛5240=↹⩛11350","layer":3},{"info":"↹⩛12420∠��↹⩛21131=↹⩛5414","layer":3},{"info":"↹⩛11350⪍↜⋙↹⩛5414=↹⩛3504","layer":2},{"info":"⇐↹⩛3504=↹⩛4310","layer":1},{"info":"↹⩛13053≚⊃≕↹⩛13223=↹⩛151","layer":3},{"info":"⨝⨆↹⩛12322=↹⩛11333","layer":3},{"info":"↹⩛151↱↹⩛11333=↹⩛-32213","layer":2},{"info":"↩⪖↹⩛-32213=↹⩛1135032","layer":1},{"info":"↹⩛4310≦↸↹⩛1135032=↹⩛-2324031","layer":0}]} +{"id":908,"expression_no_base_symbol":"(⊄⩳↩$1989$⇤$4472$∌$1744$⫞⩸⩒$7594$)⨑≵⋬((↡$3219$)≳⇉($2201$⪇≇⋚$8863$)⩭)","expression":"(⊄⩳↩↹⩛13113⇤↹⩛32412∌↹⩛12024⫞⩸⩒↹⩛55054)⨑≵⋬((↡↹⩛22523)≳⇉(↹⩛14105⪇≇⋚↹⩛105011)⩭)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33287,"operation_count":9,"complexity_ratio":3698.5555555555557,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1989,"base":6},"right_expr":{"type":"numeric_atoms","value":4472,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1744,"base":6},"right_expr":{"type":"numeric_atoms","value":7594,"base":6}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3219,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2201,"base":6},"right_expr":{"type":"numeric_atoms","value":8863,"base":6}}}}},"used_operators":["XnXgA4xnOs","8w2t5hMYqp","8cLx32lpNA","YSKBFp38Pu","XGcMNugi78","yIPP7u6H5x","V0kx6qeWkN","MXaNJeIAZ3","3sJ7IOPOlU"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛13233232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"number node, value=4472","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=4472, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-29457","layer":3},{"info":"number node, value=1744","layer":4},{"info":"number node, value=7594","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=7594, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7594","layer":3},{"info":"compute binary expreesion, left_input=-29457, right_input=7594, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-29457","layer":2},{"info":"compute unary expreesion, input=-29457, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=88371","layer":1},{"info":"number node, value=3219","layer":4},{"info":"compute unary expreesion, input=3219, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=28971","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=8863","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=8863, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=28971, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=88371, right_input=450, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=440084","layer":0}],"base":6,"result_base":6,"text":"(⊄⩳↩↹⩛13113⇤↹⩛32412∌↹⩛12024⫞⩸⩒↹⩛55054)⨑≵⋬((↡↹⩛22523)≳⇉(↹⩛14105⪇≇⋚↹⩛105011)⩭)=↹⩛13233232","reverse_text":"↹⩛13233232=(⊄⩳↩↹⩛13113⇤↹⩛32412∌↹⩛12024⫞⩸⩒↹⩛55054)⨑≵⋬((↡↹⩛22523)≳⇉(↹⩛14105⪇≇⋚↹⩛105011)⩭)","cot":[{"info":"↹⩛13113⇤↹⩛32412=↹⩛-344213","layer":3},{"info":"↹⩛12024⫞⩸⩒↹⩛55054=���⩛55054","layer":3},{"info":"↹⩛-344213∌↹⩛55054=↹⩛-344213","layer":2},{"info":"⊄⩳↩↹⩛-344213=↹⩛1521043","layer":1},{"info":"↡↹⩛22523=↹⩛342043","layer":3},{"info":"↹⩛14105⪇≇⋚↹⩛105011=↹⩛0","layer":3},{"info":"↹⩛342043≳⇉↹⩛0=↹⩛0","layer":2},{"info":"↹⩛0⩭=↹⩛2030","layer":1},{"info":"↹⩛1521043⨑≵⋬↹⩛2030=↹⩛13233232","layer":0}]} +{"id":909,"expression_no_base_symbol":"(((∟⋨$7094$)⋥≓≎$2801$≧⫂∧$2633$)⪔(⇜⊴$2067$⇡⇂$3466$))⨂≜($1064$⩇∃⫛$1639$⪄($2852$⊾⪯⋞$1606$)⪬∳)","expression":"(((∟⋨↹⩛52502)⋥≓≎↹⩛20545≧⫂∧↹⩛20105)⪔(⇜⊴↹⩛13323⇡⇂↹⩛24014))⨂≜(↹⩛4532⩇∃⫛↹⩛11331⪄(↹⩛21112⊾⪯⋞↹⩛11234)⪬∳)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1017939,"operation_count":11,"complexity_ratio":92539.90909090909,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":7094,"base":6}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2801,"base":6},"right_expr":{"type":"numeric_atoms","value":2633,"base":6}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2067,"base":6},"right_expr":{"type":"numeric_atoms","value":3466,"base":6}}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1064,"base":6},"right_expr":{"type":"numeric_atoms","value":1639,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2852,"base":6},"right_expr":{"type":"numeric_atoms","value":1606,"base":6}}}}},"used_operators":["k1SHOSEABc","GjBEYRfMaF","Qy55tPpLXF","ctOc4cKSDt","Ph9nP6C5qx","XwDhCwWbUn","UMwdvZNt44","O9U3z1385E","SUmda5xLS4","1aApVXNlOP","HK0tfVPux8"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7094","layer":4},{"info":"compute unary expreesion, input=7094, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-6610","layer":3},{"info":"number node, value=2801","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=2633, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2160","layer":3},{"info":"compute binary expreesion, left_input=-6610, right_input=2160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=2067","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=3466, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=1064","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1639, 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=1048","layer":3},{"info":"number node, value=2852","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=1606, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2786","layer":3},{"info":"compute binary expreesion, left_input=1048, right_input=2786, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-162337","layer":2},{"info":"compute unary expreesion, input=-162337, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((∟⋨↹⩛52502)⋥≓≎↹⩛20545≧⫂∧↹⩛20105)⪔(⇜⊴↹⩛13323⇡⇂↹⩛24014))⨂≜(↹⩛4532⩇∃⫛↹⩛11331⪄(↹⩛21112⊾⪯⋞↹⩛11234)⪬∳)=NaN","reverse_text":"NaN=(((∟⋨↹⩛52502)⋥≓≎↹⩛20545≧⫂∧↹⩛20105)⪔(⇜⊴↹⩛13323⇡⇂↹⩛24014))⨂≜(↹⩛4532⩇∃⫛↹⩛11331⪄(↹⩛21112⊾⪯⋞↹⩛11234)⪬∳)","cot":[{"info":"∟⋨↹⩛52502=↹⩛-50334","layer":3},{"info":"↹⩛20545≧⫂∧↹⩛20105=↹⩛14000","layer":3},{"info":"↹⩛-50334⋥≓≎↹⩛14000=↹⩛151","layer":2},{"info":"↹⩛13323⇡⇂↹⩛24014=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"↹⩛151⪔NaN=NaN","layer":1},{"info":"↹⩛4532⩇∃⫛↹⩛11331=↹⩛4504","layer":3},{"info":"↹⩛21112⊾⪯⋞↹⩛11234=↹⩛20522","layer":3},{"info":"↹⩛4504⪄↹⩛20522=↹⩛-3251321","layer":2},{"info":"↹⩛-3251321⪬∳=↹⩛-3141","layer":1},{"info":"NaN⨂≜↹⩛-3141=NaN","layer":0}]} +{"id":910,"expression_no_base_symbol":"(($5992$⋛$1153$⫩)∈)⋛(($4599$⇷$2143$)⊬⨰$1791$⪬$6667$⨪↰⇹(⊀$2843$⊢$2795$))","expression":"((↹⩛43424⋛↹⩛5201⫩)∈)⋛((↹⩛33143⇷↹⩛13531)⊬⨰↹⩛12143⪬↹⩛50511⨪↰⇹(⊀↹⩛21055⊢↹⩛20535))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":151985,"operation_count":10,"complexity_ratio":15198.5,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5992,"base":6},"right_expr":{"type":"numeric_atoms","value":1153,"base":6}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4599,"base":6},"right_expr":{"type":"numeric_atoms","value":2143,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1791,"base":6},"right_expr":{"type":"numeric_atoms","value":6667,"base":6}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2843,"base":6},"right_expr":{"type":"numeric_atoms","value":2795,"base":6}}}}},"used_operators":["YbUVn0Rbpy","ztP7wcbY7m","6aG7x05OhS","tmPS8pqC7x","s3Fd5m9Dh2","mp7IySMOzn","Ez1Nq5fNfI","oPMjh9089D","5twsqlHp2o"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","dWAJyo7jo9","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5992","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=5992, right_input=1153, 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=-78264","layer":3},{"info":"compute unary expreesion, input=-78264, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":1},{"info":"number node, value=4599","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=4599, right_input=2143, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4286","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=6667","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=6667, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=4286, right_input=1234, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8166","layer":2},{"info":"number node, value=2843","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=2795, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5930","layer":3},{"info":"compute unary expreesion, input=-5930, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=89733","layer":2},{"info":"compute binary expreesion, left_input=8166, right_input=89733, 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=8166","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8166, 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":6,"result_base":6,"text":"((↹⩛43424⋛↹⩛5201⫩)∈)⋛((↹⩛33143⇷↹⩛13531)⊬⨰↹⩛12143⪬↹⩛50511⨪↰⇹(⊀↹⩛21055⊢↹⩛20535))=NaN","reverse_text":"NaN=((↹⩛43424⋛↹⩛5201⫩)∈)⋛((↹⩛33143⇷↹⩛13531)⊬⨰↹⩛12143⪬↹⩛50511⨪↰⇹(⊀↹⩛21055⊢↹⩛20535))","cot":[{"info":"↹⩛43424⋛↹⩛5201=↹⩛-1402200","layer":3},{"info":"↹⩛-1402200⫩=NaN","layer":2},{"info":"NaN∈=NaN","layer":1},{"info":"↹⩛33143⇷↹⩛13531=↹⩛31502","layer":3},{"info":"↹⩛12143⪬↹⩛50511=↹⩛5414","layer":3},{"info":"↹⩛31502⊬⨰↹⩛5414=↹⩛101450","layer":2},{"info":"↹⩛21055⊢↹⩛20535=↹⩛-43242","layer":3},{"info":"⊀↹⩛-43242=↹⩛1531233","layer":2},{"info":"↹⩛101450⨪↰⇹↹⩛1531233=↹⩛101450","layer":1},{"info":"NaN⋛↹⩛101450=NaN","layer":0}]} +{"id":911,"expression_no_base_symbol":"⫶⊄≣(→⩰((⇜⊴$1436$)⋷$4704$⊭↱$2207$))","expression":"⫶⊄≣(→⩰((⇜⊴↹⩛10352)⋷↹⩛33440⊭↱↹⩛14115))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":650855,"operation_count":5,"complexity_ratio":130171.0,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1436,"base":6}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4704,"base":6},"right_expr":{"type":"numeric_atoms","value":2207,"base":6}}}}},"used_operators":["wxb3vTeyAj","o8Pngz0Tml","23Mk6UjR3U","XwDhCwWbUn","COABgblf1C"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, 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=-325182","layer":3},{"info":"number node, value=4704","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=4704, right_input=2207, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4989","layer":3},{"info":"compute binary expreesion, left_input=-325182, right_input=-4989, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=650364","layer":2},{"info":"compute unary expreesion, input=650364, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⫶⊄≣(→⩰((⇜⊴↹⩛10352)⋷↹⩛33440⊭↱↹⩛14115))=NaN","reverse_text":"NaN=⫶⊄≣(→⩰((⇜⊴↹⩛10352)⋷↹⩛33440⊭↱↹⩛14115))","cot":[{"info":"⇜⊴↹⩛10352=↹⩛-10545250","layer":3},{"info":"↹⩛33440⊭↱↹⩛14115=↹⩛-35033","layer":3},{"info":"↹⩛-10545250⋷↹⩛-35033=↹⩛21534540","layer":2},{"info":"→⩰↹⩛21534540=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]} +{"id":912,"expression_no_base_symbol":"(($5484$⊠≄⫣)⊢$3374$∘$1531$∷($1096$⊹≧⊝)≦↸$5470$≌$1788$)⇷(⩪∧⨌($1339$⋷$9375$))⪪(⊢≑≆$2326$≴⪞⇿$1131$)","expression":"((↹⩛41220⊠≄⫣)⊢↹⩛23342∘↹⩛11031∷(↹⩛5024⊹≧⊝)≦↸↹⩛41154≌↹⩛12140)⇷(⩪∧⨌(↹⩛10111⋷↹⩛111223))⪪(⊢≑≆↹⩛14434≴⪞⇿↹⩛5123)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":526575,"operation_count":13,"complexity_ratio":40505.769230769234,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5484,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3374,"base":6},"right_expr":{"type":"numeric_atoms","value":1531,"base":6}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1096,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5470,"base":6},"right_expr":{"type":"numeric_atoms","value":1788,"base":6}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1339,"base":6},"right_expr":{"type":"numeric_atoms","value":9375,"base":6}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2326,"base":6},"right_expr":{"type":"numeric_atoms","value":1131,"base":6}}}}},"used_operators":["mp7IySMOzn","D3AQDKkPcf","5twsqlHp2o","DIvbN7qnHd","Z5m6OM72h2","RygbFNSyEJ","LxFB4K6j0n","lyWz822IDG","xD69zh8xqp","6iOiAJX1F8","23Mk6UjR3U","27wFxooxGf","lvlrscuwVU"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5484","layer":4},{"info":"compute unary expreesion, input=5484, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3374","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=1531, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=6748","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6748, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":2},{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-4384","layer":3},{"info":"number node, value=5470","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=5470, right_input=1788, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4384, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=1339","layer":4},{"info":"number node, value=9375","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=9375, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=17411","layer":3},{"info":"compute unary expreesion, input=17411, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=174110","layer":2},{"info":"number node, value=2326","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=1131, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=8429852","layer":3},{"info":"compute unary expreesion, input=8429852, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=33719860","layer":2},{"info":"compute binary expreesion, left_input=174110, right_input=33719860, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-26286699","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-26286699, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛41220⊠≄⫣)⊢↹⩛23342∘↹⩛11031∷(↹⩛5024⊹≧⊝)≦↸↹⩛41154≌↹⩛12140)⇷(⩪∧⨌(↹⩛10111⋷↹⩛111223))⪪(⊢≑≆↹⩛14434≴⪞⇿↹⩛5123)=NaN","reverse_text":"NaN=((↹⩛41220⊠≄⫣)⊢↹⩛23342∘↹⩛11031∷(↹⩛5024⊹≧⊝)≦↸↹⩛41154≌↹⩛12140)⇷(⩪∧⨌(↹⩛10111⋷↹⩛111223))⪪(⊢≑≆↹⩛14434≴⪞⇿↹⩛5123)","cot":[{"info":"↹⩛41220⊠≄⫣=↹⩛0","layer":3},{"info":"↹⩛23342∘↹⩛11031=↹⩛51124","layer":3},{"info":"↹⩛0⊢↹⩛51124=↹⩛-1044","layer":2},{"info":"↹⩛5024⊹≧⊝=↹⩛-32144","layer":3},{"info":"↹⩛41154≌↹⩛12140=NaN","layer":3},{"info":"↹⩛-32144≦↸NaN=NaN","layer":2},{"info":"↹⩛-1044∷NaN=NaN","layer":1},{"info":"↹⩛10111⋷↹⩛111223=↹⩛212335","layer":3},{"info":"⩪∧⨌↹⩛212335=↹⩛3422022","layer":2},{"info":"↹⩛14434≴⪞⇿↹⩛5123=↹⩛500403032","layer":3},{"info":"⊢≑≆↹⩛500403032=↹⩛3202422244","layer":2},{"info":"↹⩛3422022⪪↹⩛3202422244=↹⩛-2335225403","layer":1},{"info":"NaN⇷↹⩛-2335225403=NaN","layer":0}]} +{"id":913,"expression_no_base_symbol":"≸(≸≮(($1303$⩺⪪$5780$)∀⇚≩($3316$≬⋮$2577$)))","expression":"≸(≸≮((↹⩛10011⩺⪪↹⩛42432)∀⇚≩(↹⩛23204≬⋮↹⩛15533)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12939,"operation_count":5,"complexity_ratio":2587.8,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1303,"base":6},"right_expr":{"type":"numeric_atoms","value":5780,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3316,"base":6},"right_expr":{"type":"numeric_atoms","value":2577,"base":6}}}}},"used_operators":["eOf03JbCpp","AljMvE3RRm","LRNGc0VcxI","uvdQJvN4PV","kbkesczE7y"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","X99M06cbEe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=5780, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=3316","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2577, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=868, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≸(≸≮((↹⩛10011⩺⪪↹⩛42432)∀⇚≩(↹⩛23204≬⋮↹⩛15533)))=NaN","reverse_text":"NaN=≸(≸≮((↹⩛10011⩺⪪↹⩛42432)∀⇚≩(↹⩛23204≬⋮↹⩛15533)))","cot":[{"info":"↹⩛10011⩺⪪↹⩛42432=↹⩛-12230","layer":3},{"info":"↹⩛23204≬⋮↹⩛15533=↹⩛4004","layer":3},{"info":"↹⩛-12230∀⇚≩↹⩛4004=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"≸NaN=NaN","layer":0}]} +{"id":914,"expression_no_base_symbol":"(⊈$9133$⪃⊛⇣$2221$)↓(∓⪦(⊿$5731$))⊠≄⫣","expression":"(⊈↹⩛110141⪃⊛⇣↹⩛14141)↓(∓⪦(⊿↹⩛42311))⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":686497,"operation_count":6,"complexity_ratio":114416.16666666667,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":9133,"base":6},"right_expr":{"type":"numeric_atoms","value":2221,"base":6}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5731,"base":6}}}}},"used_operators":["DIvbN7qnHd","Af076pWI7l","RHru8klgy8","rrgAzCduG9","D309nIvmXG","DO4fhlbJSI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","12rbrZMWeM","xUOZtlo3hN","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9133","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=9133, right_input=2221, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1408","layer":2},{"info":"number node, value=5731","layer":4},{"info":"compute unary expreesion, input=5731, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-23662","layer":3},{"info":"compute unary expreesion, input=-23662, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-48970","layer":2},{"info":"compute binary expreesion, left_input=-1408, right_input=-48970, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⊈↹⩛110141⪃⊛⇣↹⩛14141)↓(∓⪦(⊿↹⩛42311))⊠≄⫣=↹⩛0","reverse_text":"↹⩛0=(⊈↹⩛110141⪃⊛⇣↹⩛14141)↓(∓⪦(⊿↹⩛42311))⊠≄⫣","cot":[{"info":"↹⩛110141⪃⊛⇣↹⩛14141=↹⩛5414","layer":3},{"info":"⊈↹⩛5414=↹⩛-10304","layer":2},{"info":"⊿↹⩛42311=↹⩛-301314","layer":3},{"info":"∓⪦↹⩛-301314=↹⩛-1014414","layer":2},{"info":"↹⩛-10304↓↹⩛-1014414=↹⩛-342","layer":1},{"info":"↹⩛-342⊠≄⫣=↹⩛0","layer":0}]} +{"id":915,"expression_no_base_symbol":"⩒∊((≦∁$1729$⨒$2296$)⋓(($5041$⊬⫿⊭)⪭≯$5533$⪥$6053$))","expression":"⩒∊((≦∁↹⩛12001⨒↹⩛14344)⋓((↹⩛35201⊬⫿⊭)⪭≯↹⩛41341⪥↹⩛44005))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6817,"operation_count":7,"complexity_ratio":973.8571428571429,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1729,"base":6},"right_expr":{"type":"numeric_atoms","value":2296,"base":6}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":5041,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5533,"base":6},"right_expr":{"type":"numeric_atoms","value":6053,"base":6}}}}},"used_operators":["qazvmhNBbN","T2fj7uvVaJ","9ICcGScMcE","y75s1iXyHd","XAx5wpdLa6","v0DYgG9ikt","QbnwKVWMIQ"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1729","layer":4},{"info":"number node, value=2296","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=2296, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10002","layer":3},{"info":"compute unary expreesion, input=-10002, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=5041","layer":4},{"info":"compute unary expreesion, input=5041, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-15123","layer":3},{"info":"number node, value=5533","layer":4},{"info":"number node, value=6053","layer":4},{"info":"compute binary expreesion, left_input=5533, right_input=6053, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=26784","layer":3},{"info":"compute binary expreesion, left_input=-15123, right_input=26784, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩒∊((≦∁↹⩛12001⨒↹⩛14344)⋓((↹⩛35201⊬⫿⊭)⪭≯↹⩛41341⪥↹⩛44005))=NaN","reverse_text":"NaN=⩒∊((≦∁↹⩛12001⨒↹⩛14344)⋓((↹⩛35201⊬⫿⊭)⪭≯↹⩛41341⪥↹⩛44005))","cot":[{"info":"↹⩛12001⨒↹⩛14344=↹⩛-114150","layer":3},{"info":"≦∁↹⩛-114150=↹⩛151","layer":2},{"info":"↹⩛35201⊬⫿⊭=↹⩛-154003","layer":3},{"info":"↹⩛41341⪥↹⩛44005=↹⩛324000","layer":3},{"info":"↹⩛-154003⪭≯↹⩛324000=NaN","layer":2},{"info":"↹⩛151⋓NaN=NaN","layer":1},{"info":"⩒∊NaN=NaN","layer":0}]} +{"id":916,"expression_no_base_symbol":"(⨭⩧⫛(∐⩳⋚$1030$))⫘(($1555$⪬∳)*$5969$∳⫺$2026$)⇍⊗(($1923$≄⊠$7011$)⩖⊿(⇾⩊⇾$1532$)↛⩡⫤)","expression":"(⨭⩧⫛(∐⩳⋚↹⩛4434))⫘((↹⩛11111⪬∳)*↹⩛43345∳⫺↹⩛13214)⇍⊗((↹⩛12523≄⊠↹⩛52243)⩖⊿(⇾⩊⇾↹⩛11032)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1897424,"operation_count":11,"complexity_ratio":172493.0909090909,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1030,"base":6}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1555,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5969,"base":6},"right_expr":{"type":"numeric_atoms","value":2026,"base":6}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1923,"base":6},"right_expr":{"type":"numeric_atoms","value":7011,"base":6}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1532,"base":6}}}}},"used_operators":["5uvYHDjeKN","48vC8HMD2b","g21JL6JxX7","SL6IHkK8vl","9HNa5Wba9A","O9U3z1385E","AzXXKTstlj","FU0Cs4j7VP","RZ5CV9rWsJ","vXNesLlMH1","bx9Z9DAK5y"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"↹⩛-1044","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=137147","layer":3},{"info":"compute unary expreesion, input=137147, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=5969","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=5969, right_input=2026, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=-260, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=184340","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=184340, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"number node, value=1923","layer":4},{"info":"number node, value=7011","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=7011, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=116844","layer":3},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20274","layer":3},{"info":"compute binary expreesion, left_input=116844, right_input=-20274, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-629650","layer":2},{"info":"compute unary expreesion, input=-629650, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3011","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3011, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":6,"result_base":6,"text":"(⨭⩧⫛(∐⩳⋚↹⩛4434))⫘((↹⩛11111⪬∳)*↹⩛43345∳⫺↹⩛13214)⇍⊗((↹⩛12523≄⊠↹⩛52243)⩖⊿(⇾⩊⇾↹⩛11032)↛⩡⫤)=↹⩛-1044","reverse_text":"↹⩛-1044=(⨭⩧⫛(∐⩳⋚↹⩛4434))⫘((↹⩛11111⪬∳)*↹⩛43345∳⫺↹⩛13214)⇍⊗((↹⩛12523≄⊠↹⩛52243)⩖⊿(⇾⩊⇾↹⩛11032)↛⩡⫤)","cot":[{"info":"∐⩳⋚↹⩛4434=↹⩛2534535","layer":3},{"info":"⨭⩧⫛↹⩛2534535=NaN","layer":2},{"info":"↹⩛11111⪬∳=↹⩛-3141","layer":3},{"info":"↹⩛43345∳⫺↹⩛13214=↹⩛-1112","layer":3},{"info":"↹⩛-3141*↹⩛-1112=↹⩛3541232","layer":2},{"info":"NaN⫘↹⩛3541232=NaN","layer":1},{"info":"↹⩛12523≄⊠↹⩛52243=↹⩛2300540","layer":3},{"info":"⇾⩊⇾↹⩛11032=↹⩛-233510","layer":3},{"info":"↹⩛2300540⩖⊿↹⩛-233510=↹⩛-21255014","layer":2},{"info":"↹⩛-21255014↛⩡⫤=↹⩛21535","layer":1},{"info":"NaN⇍⊗↹⩛21535=↹⩛-1044","layer":0}]} +{"id":917,"expression_no_base_symbol":"(⪨⨬(($4670$↼⊘⨖$4366$)↓$1682$⨑⩅≇$4563$))⩹(($3122$∠⫱$1870$)≁↽≥($3677$⋖∅⋲)∈)","expression":"(⪨⨬((↹⩛33342↼⊘⨖↹⩛32114)↓↹⩛11442⨑⩅≇↹⩛33043))⩹((↹⩛22242∠⫱↹⩛12354)≁↽≥(↹⩛25005⋖∅⋲)∈)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":460038,"operation_count":9,"complexity_ratio":51115.333333333336,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4670,"base":6},"right_expr":{"type":"numeric_atoms","value":4366,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1682,"base":6},"right_expr":{"type":"numeric_atoms","value":4563,"base":6}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3122,"base":6},"right_expr":{"type":"numeric_atoms","value":1870,"base":6}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":3677,"base":6}}}}},"used_operators":["2Wsdkap16l","5obUd6DV38","Af076pWI7l","bPywburJMS","h92wMvzauj","ztP7wcbY7m","ncHt1X6cMc","QvoQhV0rrE","L95AwlJzhO"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"↹⩛-221","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4670","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=4366, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8510","layer":3},{"info":"number node, value=1682","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=4563, 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=-5046","layer":3},{"info":"compute binary expreesion, left_input=8510, right_input=-5046, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=3122","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=1870, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3677","layer":4},{"info":"compute unary expreesion, input=3677, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-384231, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-83","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=-83, 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=-85","layer":0}],"base":6,"result_base":6,"text":"(⪨⨬((↹⩛33342↼⊘⨖↹⩛32114)↓↹⩛11442⨑⩅≇↹⩛33043))⩹((↹⩛22242∠⫱↹⩛12354)≁↽≥(↹⩛25005⋖∅⋲)∈)=↹⩛-221","reverse_text":"↹⩛-221=(⪨⨬((↹⩛33342↼⊘⨖↹⩛32114)↓↹⩛11442⨑⩅≇↹⩛33043))⩹((↹⩛22242∠⫱↹⩛12354)≁↽≥(↹⩛25005⋖∅⋲)∈)","cot":[{"info":"↹⩛33342↼⊘⨖↹⩛32114=↹⩛103222","layer":3},{"info":"↹⩛11442⨑⩅≇↹⩛33043=↹⩛-35210","layer":3},{"info":"↹⩛103222↓↹⩛-35210=↹⩛-342","layer":2},{"info":"⪨⨬↹⩛-342=↹⩛-2234","layer":1},{"info":"↹⩛22242∠⫱↹⩛12354=↹⩛5414","layer":3},{"info":"↹⩛25005⋖∅⋲=↹⩛-12122503","layer":3},{"info":"↹⩛5414≁↽≥↹⩛-12122503=↹⩛524","layer":2},{"info":"↹⩛524∈=↹⩛-215","layer":1},{"info":"↹⩛-2234⩹↹⩛-215=↹⩛-221","layer":0}]} +{"id":918,"expression_no_base_symbol":"(($2165$≓∲$1308$)⩧⪆$2648$⋕⪉⪜$1253$)∊∟⩊(($5282$⊧↖)⊱⇼⊻($7185$⨒$7781$))⇄(↑(⩏⊷≩$1816$⪨⊡$1208$))","expression":"((↹⩛14005≓∲↹⩛10020)⩧⪆↹⩛20132⋕⪉⪜↹⩛5445)∊∟⩊((↹⩛40242⊧↖)⊱⇼⊻(↹⩛53133⨒↹⩛100005))⇄(↑(⩏⊷≩↹⩛12224⪨⊡↹⩛5332))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5516,"operation_count":11,"complexity_ratio":501.45454545454544,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2165,"base":6},"right_expr":{"type":"numeric_atoms","value":1308,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2648,"base":6},"right_expr":{"type":"numeric_atoms","value":1253,"base":6}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":5282,"base":6}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":7185,"base":6},"right_expr":{"type":"numeric_atoms","value":7781,"base":6}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1816,"base":6},"right_expr":{"type":"numeric_atoms","value":1208,"base":6}}}}},"used_operators":["3EYGwJThht","ddLRYrp01A","Ikt5ks8PT7","s1XTVnmDOJ","z6LnFrNh4i","FyVja0WsTP","EKiFHuOFxO","y75s1iXyHd","tR7O2zTn5j","uOZ1tnYMDE","kuIXHzHcAH"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eewbuw0ToL","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","23Mk6UjR3U","12rbrZMWeM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2165","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1308, 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=22433","layer":3},{"info":"number node, value=2648","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=1253, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=22433, right_input=2802, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2802","layer":2},{"info":"number node, value=5282","layer":4},{"info":"compute unary expreesion, input=5282, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=167425964","layer":3},{"info":"number node, value=7185","layer":4},{"info":"number node, value=7781","layer":4},{"info":"compute binary expreesion, left_input=7185, right_input=7781, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-42738","layer":3},{"info":"compute binary expreesion, left_input=167425964, right_input=-42738, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=669706658","layer":2},{"info":"compute binary expreesion, left_input=-2802, right_input=669706658, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=669706658","layer":1},{"info":"number node, value=1816","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1208, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=614","layer":2},{"info":"compute unary expreesion, input=614, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=669706658, right_input=192, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14005≓∲↹⩛10020)⩧⪆↹⩛20132⋕⪉⪜↹⩛5445)∊∟⩊((↹⩛40242⊧↖)⊱⇼⊻(↹⩛53133⨒↹⩛100005))⇄(↑(⩏⊷≩↹⩛12224⪨⊡↹⩛5332))=↹⩛0","reverse_text":"↹⩛0=((↹⩛14005≓∲↹⩛10020)⩧⪆↹⩛20132⋕⪉⪜↹⩛5445)∊∟⩊((↹⩛40242⊧↖)⊱⇼⊻(↹⩛53133⨒↹⩛100005))���(↑(⩏⊷≩↹⩛12224⪨⊡↹⩛5332))","cot":[{"info":"↹⩛14005≓∲↹⩛10020=↹⩛251505","layer":3},{"info":"↹⩛20132⋕⪉⪜↹⩛5445=↹⩛20550","layer":3},{"info":"↹⩛251505⩧⪆↹⩛20550=↹⩛-20550","layer":2},{"info":"↹⩛40242⊧↖=↹⩛24340304112","layer":3},{"info":"↹⩛53133⨒↹⩛100005=↹⩛-525510","layer":3},{"info":"↹⩛24340304112⊱⇼⊻↹⩛-525510=↹⩛150242045442","layer":2},{"info":"↹⩛-20550∊∟⩊↹⩛150242045442=↹⩛150242045442","layer":1},{"info":"↹⩛12224⪨⊡↹⩛5332=↹⩛0","layer":3},{"info":"⩏⊷≩↹⩛0=↹⩛2502","layer":2},{"info":"↑↹⩛2502=↹⩛520","layer":1},{"info":"↹⩛150242045442⇄↹⩛520=↹⩛0","layer":0}]} +{"id":919,"expression_no_base_symbol":"($1521$⪬$1350$⪉⨛($1598$⫌⩉⩟$6496$))↼⊘⨖(∥⊫$2511$⩷∴$5940$)%($3195$⩧⪆$3961$⊍⩺⋍$3902$↡⊰⫅$5867$)⨑⩅≇($4384$⫣⪄⊒$1384$⊢($3720$⪄$1232$))","expression":"(↹⩛11013⪬↹⩛10130⪉⨛(↹⩛11222⫌⩉⩟↹⩛50024))↼⊘⨖(∥⊫↹⩛15343⩷∴↹⩛43300)%(↹⩛22443⩧⪆↹⩛30201⊍⩺⋍↹⩛30022↡⊰⫅↹⩛43055)⨑⩅≇(↹⩛32144⫣⪄⊒↹⩛10224⊢(↹⩛25120⪄↹⩛5412))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":127420,"operation_count":14,"complexity_ratio":9101.42857142857,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1521,"base":6},"right_expr":{"type":"numeric_atoms","value":1350,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1598,"base":6},"right_expr":{"type":"numeric_atoms","value":6496,"base":6}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2511,"base":6},"right_expr":{"type":"numeric_atoms","value":5940,"base":6}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3195,"base":6},"right_expr":{"type":"numeric_atoms","value":3961,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3902,"base":6},"right_expr":{"type":"numeric_atoms","value":5867,"base":6}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4384,"base":6},"right_expr":{"type":"numeric_atoms","value":1384,"base":6}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3720,"base":6},"right_expr":{"type":"numeric_atoms","value":1232,"base":6}}}}},"used_operators":["k8jYdgA6NY","bPywburJMS","EWw2JM7wp4","Ez1Nq5fNfI","XIIwhv8d0m","P8v4zCKN1o","9FxExcQeMw","h92wMvzauj","OXDGMFPWZM","Ikt5ks8PT7","VCtxkLNOzz","5twsqlHp2o","RabNbG55vr","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eewbuw0ToL","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"↹⩛2443","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1521","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=1350, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=6496","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=6496, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-50, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3967","layer":2},{"info":"number node, value=2511","layer":4},{"info":"number node, value=5940","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=5940, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6890","layer":3},{"info":"compute unary expreesion, input=-6890, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=3967, right_input=-55, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-332","layer":1},{"info":"number node, value=3195","layer":4},{"info":"number node, value=3961","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=3961, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3961","layer":3},{"info":"number node, value=3902","layer":4},{"info":"number node, value=5867","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=5867, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=11734","layer":3},{"info":"compute binary expreesion, left_input=-3961, right_input=11734, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4384","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=4384, right_input=1384, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-48","layer":3},{"info":"number node, value=3720","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=3720, right_input=1232, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-551577","layer":3},{"info":"compute binary expreesion, left_input=-48, right_input=-551577, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-148","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-148, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"compute binary expreesion, left_input=-332, right_input=935, op_id = k8jYdgA6NY binary_op_definition= 'None', output=603","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11013⪬↹⩛10130⪉⨛(↹⩛11222⫌⩉⩟↹⩛50024))↼⊘⨖(∥⊫↹⩛15343⩷∴↹⩛43300)%(↹⩛22443⩧⪆↹⩛30201⊍⩺⋍↹⩛30022↡⊰⫅↹⩛43055)⨑⩅≇(↹⩛32144⫣⪄⊒↹⩛10224⊢(↹⩛25120⪄↹⩛5412))=↹⩛2443","reverse_text":"↹⩛2443=(↹⩛11013⪬↹⩛10130⪉⨛(↹⩛11222⫌⩉⩟↹⩛50024))↼⊘⨖(∥⊫↹⩛15343⩷∴↹⩛43300)%(↹⩛22443⩧⪆↹⩛30201⊍⩺⋍↹⩛30022↡⊰⫅↹⩛43055)⨑⩅≇(↹⩛32144⫣⪄⊒↹⩛10224⊢(↹⩛25120⪄↹⩛5412))","cot":[{"info":"↹⩛11013⪬↹⩛10130=↹⩛5414","layer":3},{"info":"↹⩛11222⫌⩉⩟↹⩛50024=↹⩛-122","layer":3},{"info":"↹⩛5414⪉⨛↹⩛-122=↹⩛30211","layer":2},{"info":"↹⩛15343⩷∴↹⩛43300=↹⩛-51522","layer":3},{"info":"∥⊫↹⩛-51522=↹⩛-131","layer":2},{"info":"↹⩛30211↼⊘⨖↹⩛-131=↹⩛-1312","layer":1},{"info":"↹⩛22443⩧⪆↹⩛30201=↹⩛-30201","layer":3},{"info":"↹⩛30022↡⊰⫅↹⩛43055=↹⩛130154","layer":3},{"info":"↹⩛-30201⊍⩺⋍↹⩛130154=NaN","layer":2},{"info":"↹⩛32144⫣⪄⊒↹⩛10224=↹⩛-120","layer":3},{"info":"↹⩛25120⪄↹⩛5412=↹⩛-15453333","layer":3},{"info":"↹⩛-120⊢↹⩛-15453333=↹⩛-404","layer":2},{"info":"NaN⨑⩅≇↹⩛-404=↹⩛4155","layer":1},{"info":"↹⩛-1312%↹⩛4155=↹⩛2443","layer":0}]} +{"id":920,"expression_no_base_symbol":"($3101$⋛$3633$)⇻⋧≁($7511$⇍⊗$1151$)≬⇓($1016$⊲⩕⊾$8158$)↓($1009$∙⊟$1171$)⨵⪆($3299$-$5305$)⩚⊴⇥(⨑⩽⪐$2276$)⨐⩸⫘($1393$⫌⩉⩟$1592$)≨(⨴⫝$2953$)","expression":"(↹⩛22205⋛↹⩛24453)⇻⋧≁(↹⩛54435⇍⊗↹⩛5155)≬⇓(↹⩛4412⊲⩕⊾↹⩛101434)↓(↹⩛4401∙⊟↹⩛5231)⨵⪆(↹⩛23135-↹⩛40321)⩚⊴⇥(⨑⩽⪐↹⩛14312)⨐⩸⫘(↹⩛10241⫌⩉⩟↹⩛11212)≨(⨴⫝↹⩛21401)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":792874,"operation_count":15,"complexity_ratio":52858.26666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3101,"base":6},"right_expr":{"type":"numeric_atoms","value":3633,"base":6}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":7511,"base":6},"right_expr":{"type":"numeric_atoms","value":1151,"base":6}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1016,"base":6},"right_expr":{"type":"numeric_atoms","value":8158,"base":6}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1009,"base":6},"right_expr":{"type":"numeric_atoms","value":1171,"base":6}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3299,"base":6},"right_expr":{"type":"numeric_atoms","value":5305,"base":6}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2276,"base":6}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1393,"base":6},"right_expr":{"type":"numeric_atoms","value":1592,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2953,"base":6}}}}},"used_operators":["2DQ55sFlQl","jWTQ2TZYIH","jCPkEVoL5K","YbUVn0Rbpy","5uvYHDjeKN","Af076pWI7l","DmTXOeWf9t","SxTAKzQCrw","fu6greOZ01","NTOWxs364D","rysDP5nf3Z","AF7qkfDlqP","0KMCeP1Jsh","XIIwhv8d0m","SVb2v531z1"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3101","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=3633, 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=-104283","layer":3},{"info":"number node, value=7511","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=7511, right_input=1151, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-104283, right_input=-244, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=8158","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=8158, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-94466","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1171, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22963","layer":3},{"info":"compute binary expreesion, left_input=-94466, right_input=22963, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"number node, value=3299","layer":4},{"info":"number node, value=5305","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=5305, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2006","layer":3},{"info":"number node, value=2276","layer":4},{"info":"compute unary expreesion, input=2276, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2003","layer":3},{"info":"compute binary expreesion, left_input=-2006, right_input=-2003, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3888","layer":2},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1592, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2953","layer":4},{"info":"compute unary expreesion, input=2953, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=2828198, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=674","layer":2},{"info":"compute binary expreesion, left_input=3888, right_input=674, 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=-677","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-677, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22205⋛↹⩛24453)⇻⋧≁(↹⩛54435⇍⊗↹⩛5155)≬⇓(↹⩛4412⊲⩕⊾↹⩛101434)↓(↹⩛4401∙⊟↹⩛5231)⨵⪆(↹⩛23135-↹⩛40321)⩚⊴⇥(⨑⩽⪐↹⩛14312)⨐⩸⫘(↹⩛10241⫌⩉⩟↹⩛11212)≨(⨴⫝↹⩛21401)=↹⩛424","reverse_text":"↹⩛424=(↹⩛22205⋛↹⩛24453)⇻⋧≁(↹⩛54435⇍⊗↹⩛5155)≬⇓(↹⩛4412⊲⩕⊾↹⩛101434)↓(↹⩛4401∙⊟↹⩛5231)⨵⪆(↹⩛23135-↹⩛40321)⩚⊴⇥(⨑⩽⪐↹⩛14312)⨐⩸⫘(↹⩛10241⫌⩉⩟↹⩛11212)≨(⨴⫝↹⩛21401)","cot":[{"info":"↹⩛22205⋛↹⩛24453=↹⩛-2122443","layer":3},{"info":"↹⩛54435⇍⊗↹⩛5155=↹⩛-1044","layer":3},{"info":"↹⩛-2122443⇻⋧≁↹⩛-1044=↹⩛0","layer":2},{"info":"↹⩛4412⊲⩕⊾↹⩛101434=↹⩛-2005202","layer":3},{"info":"↹⩛4401∙⊟↹⩛5231=↹⩛254151","layer":3},{"info":"↹⩛-2005202↓↹⩛254151=↹⩛-342","layer":2},{"info":"↹⩛0≬⇓↹⩛-342=↹⩛0","layer":1},{"info":"↹⩛23135-↹⩛40321=↹⩛-13142","layer":3},{"info":"⨑⩽⪐↹⩛14312=↹⩛-13135","layer":3},{"info":"↹⩛-13142⩚⊴⇥↹⩛-13135=↹⩛30000","layer":2},{"info":"↹⩛10241⫌⩉⩟↹⩛11212=↹⩛-122","layer":3},{"info":"⨴⫝↹⩛21401=↹⩛140341302","layer":3},{"info":"↹⩛-122≨↹⩛140341302=↹⩛3042","layer":2},{"info":"↹⩛30000⨐⩸⫘↹⩛3042=↹⩛-3045","layer":1},{"info":"↹⩛0⨵⪆↹⩛-3045=↹⩛424","layer":0}]} +{"id":921,"expression_no_base_symbol":"($1245$⫢⨠$2366$⊾⪯⋞$4749$⪛⫼$4165$)≹⇙⪍(⨞⊢$1004$⇂≾⫗$6115$)⫍⨯↯","expression":"(↹⩛5433⫢⨠↹⩛14542⊾⪯⋞↹⩛33553⪛⫼↹⩛31141)≹⇙⪍(⨞⊢↹⩛4352⇂≾⫗↹⩛44151)⫍⨯↯","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":253494,"operation_count":7,"complexity_ratio":36213.42857142857,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1245,"base":6},"right_expr":{"type":"numeric_atoms","value":2366,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4749,"base":6},"right_expr":{"type":"numeric_atoms","value":4165,"base":6}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":6115,"base":6}}}}},"used_operators":["ZcwmYACASQ","AHs5Up7iyr","HK0tfVPux8","xlXykHWxX1","hyuBjUqXlG","xUOZtlo3hN","aBQ6xLxuTc"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","dWAJyo7jo9","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=2366, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4749","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=4749, right_input=4165, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=968, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1510","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=6115","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=6115, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=502","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=502, 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 = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5433⫢⨠↹⩛14542⊾⪯⋞↹⩛33553⪛⫼↹⩛31141)≹⇙⪍(⨞⊢↹⩛4352⇂≾⫗↹⩛44151)⫍⨯↯=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛5433⫢⨠↹⩛14542⊾⪯⋞↹⩛33553⪛⫼↹⩛31141)≹⇙⪍(⨞⊢↹⩛4352⇂≾⫗↹⩛44151)⫍⨯↯","cot":[{"info":"↹⩛5433⫢⨠↹⩛14542=↹⩛424","layer":3},{"info":"↹⩛33553⪛⫼↹⩛31141=↹⩛4252","layer":3},{"info":"↹⩛424⊾⪯⋞↹⩛4252=↹⩛10554","layer":2},{"info":"↹⩛4352⇂≾⫗↹⩛44151=↹⩛-3044","layer":3},{"info":"⨞⊢↹⩛-3044=↹⩛2154","layer":2},{"info":"↹⩛10554≹⇙⪍↹⩛2154=NaN","layer":1},{"info":"NaN⫍⨯↯=↹⩛-342","layer":0}]} +{"id":922,"expression_no_base_symbol":"⋂(($5926$⨸⪁$3846$)↳∿⪆($2655$⩒⫫$1085$)⪃↞⩐)","expression":"⋂((↹⩛43234⨸⪁↹⩛25450)↳∿⪆(↹⩛20143⩒⫫↹⩛5005)⪃↞⩐)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2475,"operation_count":5,"complexity_ratio":495.0,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5926,"base":6},"right_expr":{"type":"numeric_atoms","value":3846,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2655,"base":6},"right_expr":{"type":"numeric_atoms","value":1085,"base":6}}}}},"used_operators":["BUOGQAYlQx","grXIztHqDa","Cw4SuJJGHO","g55IO6H4Gj","KFSx94NKJn"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5926","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=5926, right_input=3846, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19544","layer":3},{"info":"number node, value=2655","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=1085, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2353","layer":3},{"info":"compute binary expreesion, left_input=19544, right_input=2353, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⋂((↹⩛43234⨸⪁↹⩛25450)↳∿⪆(↹⩛20143⩒⫫↹⩛5005)⪃↞⩐)=NaN","reverse_text":"NaN=⋂((↹⩛43234⨸⪁↹⩛25450)↳∿⪆(↹⩛20143⩒⫫↹⩛5005)⪃↞⩐)","cot":[{"info":"↹⩛43234⨸⪁↹⩛25450=↹⩛230252","layer":3},{"info":"↹⩛20143⩒⫫↹⩛5005=↹⩛14521","layer":3},{"info":"↹⩛230252↳∿⪆↹⩛14521=NaN","layer":2},{"info":"NaN⪃↞⩐=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]} +{"id":923,"expression_no_base_symbol":"($1601$⊕∕$6718$⨚(↪⫪⫘$2010$)↡⊰⫅(≇⪴($2218$⨔≚≋$4561$)))∩⋅","expression":"(↹⩛11225⊕∕↹⩛51034⨚(↪⫪⫘↹⩛13150)↡⊰⫅(≇⪴(↹⩛14134⨔≚≋↹⩛33041)))∩⋅","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":396069,"operation_count":7,"complexity_ratio":56581.28571428572,"tree":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1601,"base":6},"right_expr":{"type":"numeric_atoms","value":6718,"base":6}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2010,"base":6}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2218,"base":6},"right_expr":{"type":"numeric_atoms","value":4561,"base":6}}}}},"used_operators":["2MzE1hQ0cz","VCtxkLNOzz","nREPSIbpBE","9cloC0Ngie","9dWsAM3GFt","zoVPnxeHJ3","Z57zeUYC9z"],"dependent_operators":["Qy55tPpLXF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","BjRHVeLaeN","12rbrZMWeM","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":4},{"info":"number node, value=6718","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=6718, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1601","layer":3},{"info":"number node, value=2010","layer":4},{"info":"compute unary expreesion, input=2010, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=1601, right_input=20, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4056","layer":2},{"info":"number node, value=2218","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=4561, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-28276","layer":2},{"info":"compute binary expreesion, left_input=4056, right_input=-28276, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11225⊕∕↹⩛51034⨚(↪⫪⫘↹⩛13150)↡⊰⫅(≇⪴(↹⩛14134⨔≚≋↹⩛33041)))∩⋅=↹⩛151","reverse_text":"↹⩛151=(↹⩛11225⊕∕↹⩛51034⨚(↪⫪⫘↹⩛13150)↡⊰⫅(≇⪴(↹⩛14134⨔≚≋↹⩛33041)))∩⋅","cot":[{"info":"↹⩛11225⊕∕↹⩛51034=↹⩛11225","layer":3},{"info":"↪⫪⫘↹⩛13150=↹⩛32","layer":3},{"info":"↹⩛11225⨚↹⩛32=↹⩛30440","layer":2},{"info":"↹⩛14134⨔≚≋↹⩛33041=↹⩛113412","layer":3},{"info":"≇⪴↹⩛113412=↹⩛-334524","layer":2},{"info":"↹⩛30440↡⊰⫅↹⩛-334524=NaN","layer":1},{"info":"NaN∩⋅=↹⩛151","layer":0}]} +{"id":924,"expression_no_base_symbol":"((⊵⊁($3209$⊊))⋐⇩⊬)≬⋮($1537$≹⇙⪍$1299$⫦⪉($7186$⪨≂$4392$))⨫⇇↔($1573$⫰⋱$1971$⋅⇍($3443$⪷))","expression":"((⊵⊁(↹⩛22505⊊))⋐⇩⊬)≬⋮(↹⩛11041≹⇙⪍↹⩛10003⫦⪉(↹⩛53134⪨≂↹⩛32200))⨫⇇↔(↹⩛11141⫰⋱↹⩛13043⋅⇍(↹⩛23535⪷))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3776,"operation_count":11,"complexity_ratio":343.27272727272725,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":3209,"base":6}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1537,"base":6},"right_expr":{"type":"numeric_atoms","value":1299,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7186,"base":6},"right_expr":{"type":"numeric_atoms","value":4392,"base":6}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1573,"base":6},"right_expr":{"type":"numeric_atoms","value":1971,"base":6}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":3443,"base":6}}}}},"used_operators":["kbkesczE7y","JuuLT1NoCs","AvED76WdY7","W9R8I5fN5A","LXhwmt4mBO","wscyQdcy20","AHs5Up7iyr","sdazOOVcIp","AdZkA7nFnk","6o9Blt3TJ6","Qctrpi3WzA"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","uBihLCJcMX","k8jYdgA6NY","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Nsiff2A1zJ"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3209","layer":4},{"info":"compute unary expreesion, input=3209, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute unary expreesion, input=90927, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=544492","layer":2},{"info":"compute unary expreesion, input=544492, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=544492","layer":1},{"info":"number node, value=1537","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=1299, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7186","layer":4},{"info":"number node, value=4392","layer":4},{"info":"compute binary expreesion, left_input=7186, right_input=4392, 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=5690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5690, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1971, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1540","layer":3},{"info":"number node, value=3443","layer":4},{"info":"compute unary expreesion, input=3443, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1540, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=967","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=967, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=544492, right_input=-527, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"((⊵⊁(↹⩛22505⊊))⋐⇩⊬)≬⋮(↹⩛11041≹⇙⪍↹⩛10003⫦⪉(↹⩛53134⪨≂↹⩛32200))⨫⇇↔(↹⩛11141⫰⋱↹⩛13043⋅⇍(↹⩛23535⪷))=↹⩛4004","reverse_text":"↹⩛4004=((⊵⊁(↹⩛22505⊊))⋐⇩⊬)≬⋮(↹⩛11041≹⇙⪍↹⩛10003⫦⪉(↹⩛53134⪨≂↹⩛32200))⨫⇇↔(↹⩛11141⫰⋱↹⩛13043⋅⇍(↹⩛23535⪷))","cot":[{"info":"↹⩛22505⊊=↹⩛1540543","layer":3},{"info":"⊵⊁↹⩛1540543=↹⩛15400444","layer":2},{"info":"↹⩛15400444⋐⇩⊬=↹⩛15400444","layer":1},{"info":"↹⩛11041≹⇙⪍↹⩛10003=NaN","layer":3},{"info":"↹⩛53134⪨≂↹⩛32200=↹⩛42202","layer":3},{"info":"NaN⫦⪉↹⩛42202=NaN","layer":2},{"info":"↹⩛11141⫰⋱↹⩛13043=↹⩛-11044","layer":3},{"info":"↹⩛23535⪷=NaN","layer":3},{"info":"↹⩛-11044⋅⇍NaN=↹⩛4251","layer":2},{"info":"NaN⨫⇇↔↹⩛4251=↹⩛-2235","layer":1},{"info":"↹⩛15400444≬⋮↹⩛-2235=↹⩛4004","layer":0}]} +{"id":925,"expression_no_base_symbol":"(((∷≠$1033$)⨽(⪲⇎$1826$))∑⇟⊟$1258$⇂≾⫗$2902$⨥⫆($5168$⋾⨃∁$4683$))∥⊢⊲(⇜$2647$→⨶⪴$1586$)⨥⫆(⪫⨮⊛($2078$⪕$2160$))","expression":"(((∷≠↹⩛4441)⨽(⪲⇎↹⩛12242))∑⇟⊟↹⩛5454⇂≾⫗↹⩛21234⨥⫆(↹⩛35532⋾⨃∁↹⩛33403))∥⊢⊲(⇜↹⩛20131→⨶⪴↹⩛11202)⨥⫆(⪫⨮⊛(↹⩛13342⪕↹⩛14000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1754109,"operation_count":13,"complexity_ratio":134931.46153846153,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1033,"base":6}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1826,"base":6}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1258,"base":6},"right_expr":{"type":"numeric_atoms","value":2902,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5168,"base":6},"right_expr":{"type":"numeric_atoms","value":4683,"base":6}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2647,"base":6},"right_expr":{"type":"numeric_atoms","value":1586,"base":6}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2078,"base":6},"right_expr":{"type":"numeric_atoms","value":2160,"base":6}}}}},"used_operators":["v1UQAVDJRr","U7g4x0WXJJ","8HhzD0ZcuI","QiR2Oyf5Xj","XPYlsWDdGa","yXekIHxTD4","aBQ6xLxuTc","212REbPD9h","lFBm8KRb8F","bF6eod5Gvf","w5FWba1tyO","umQnsF7QlU"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","8w2t5hMYqp","9FxExcQeMw","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1033","layer":3},{"info":"number node, value=1826","layer":4},{"info":"compute unary expreesion, input=1826, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3652","layer":3},{"info":"compute binary expreesion, left_input=1033, right_input=3652, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3210909","layer":2},{"info":"number node, value=1258","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=2902, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=5168","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=4683, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=219248600","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=219248600, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3210909, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-3210909","layer":1},{"info":"number node, value=2647","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1586, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4758","layer":3},{"info":"compute unary expreesion, input=-4758, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=2078","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=2160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2897","layer":3},{"info":"compute unary expreesion, input=2897, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3210909, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((∷≠↹⩛4441)⨽(⪲⇎↹⩛12242))∑⇟⊟↹⩛5454⇂≾⫗↹⩛21234⨥⫆(↹⩛35532⋾⨃∁↹⩛33403))∥⊢⊲(⇜↹⩛20131→⨶⪴↹⩛11202)⨥⫆(⪫⨮⊛(↹⩛13342⪕↹⩛14000))=NaN","reverse_text":"NaN=(((∷≠↹⩛4441)⨽(⪲⇎↹⩛12242))∑⇟⊟↹⩛5454⇂≾⫗↹⩛21234⨥⫆(↹⩛35532⋾⨃∁↹⩛33403))∥⊢⊲(⇜↹⩛20131→⨶⪴↹⩛11202)⨥⫆(⪫⨮⊛(↹⩛13342⪕↹⩛14000))","cot":[{"info":"∷≠↹⩛4441=↹⩛4441","layer":3},{"info":"⪲⇎↹⩛12242=↹⩛24524","layer":3},{"info":"↹⩛4441⨽↹⩛24524=↹⩛-152453153","layer":2},{"info":"↹⩛5454⇂≾⫗↹⩛21234=↹⩛-3044","layer":3},{"info":"↹⩛35532⋾⨃∁↹⩛33403=↹⩛33431131452","layer":3},{"info":"↹⩛-3044⨥⫆↹⩛33431131452=↹⩛0","layer":2},{"info":"↹⩛-152453153∑⇟⊟↹⩛0=↹⩛-152453153","layer":1},{"info":"↹⩛20131→⨶⪴↹⩛11202=↹⩛-34010","layer":3},{"info":"⇜↹⩛-34010=↹⩛1024","layer":2},{"info":"↹⩛13342⪕↹⩛14000=↹⩛21225","layer":3},{"info":"⪫⨮⊛↹⩛21225=NaN","layer":2},{"info":"↹⩛1024⨥⫆NaN=NaN","layer":1},{"info":"↹⩛-152453153∥⊢⊲NaN=NaN","layer":0}]} +{"id":926,"expression_no_base_symbol":"((⩦⩻⨪($5752$⇉⇱⇎))⇮⋭($4063$⨵⪆$1607$)⇮⋭$6152$↹⊜$1904$)⪒⊣⊆(($4282$↙$1102$)⊋≦⊧($1201$⪹)⊭∹↮)","expression":"((⩦⩻⨪(↹⩛42344⇉⇱⇎))⇮⋭(↹⩛30451⨵⪆↹⩛11235)⇮⋭↹⩛44252↹⊜↹⩛12452)⪒⊣⊆((↹⩛31454↙↹⩛5034)⊋≦⊧(↹⩛5321⪹)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1300,"operation_count":11,"complexity_ratio":118.18181818181819,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":5752,"base":6}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4063,"base":6},"right_expr":{"type":"numeric_atoms","value":1607,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":6152,"base":6},"right_expr":{"type":"numeric_atoms","value":1904,"base":6}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4282,"base":6},"right_expr":{"type":"numeric_atoms","value":1102,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1201,"base":6}}}}},"used_operators":["eRqsBgTDFp","vkpjKywKVM","2td37pGCOC","MRPaB8lBjK","2DQ55sFlQl","9bazX3JMtO","xNBdhnnwKq","oRDoc9rAEX","yyfyN0ffXY","B3sABdIn96"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"↹⩛342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5752","layer":4},{"info":"compute unary expreesion, input=5752, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-5534","layer":3},{"info":"compute unary expreesion, input=-5534, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-5534","layer":2},{"info":"number node, value=4063","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=4063, right_input=1607, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6152","layer":4},{"info":"number node, value=1904","layer":4},{"info":"compute binary expreesion, left_input=6152, right_input=1904, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=4592","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4592, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)��)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-5534, right_input=-473, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=4282","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=1102, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3306","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=6894","layer":3},{"info":"compute binary expreesion, left_input=-3306, right_input=6894, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=192, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=134","layer":0}],"base":6,"result_base":6,"text":"((⩦⩻⨪(↹⩛42344⇉⇱⇎))⇮⋭(↹⩛30451⨵⪆↹⩛11235)⇮⋭↹⩛44252↹⊜↹⩛12452)⪒⊣⊆((↹⩛31454↙↹⩛5034)⊋≦⊧(↹⩛5321⪹)⊭∹↮)=↹⩛342","reverse_text":"↹⩛342=((⩦⩻⨪(↹⩛42344⇉⇱⇎))⇮⋭(↹⩛30451⨵⪆↹⩛11235)⇮⋭↹⩛44252↹⊜↹⩛12452)⪒⊣⊆((↹⩛31454↙↹⩛5034)⊋≦⊧(↹⩛5321⪹)⊭∹↮)","cot":[{"info":"↹⩛42344⇉⇱⇎=↹⩛-41342","layer":3},{"info":"⩦⩻⨪↹⩛-41342=↹⩛-41342","layer":2},{"info":"↹⩛30451⨵⪆↹⩛11235=↹⩛424","layer":3},{"info":"↹⩛44252↹⊜↹⩛12452=↹⩛33132","layer":3},{"info":"↹⩛424⇮⋭↹⩛33132=↹⩛-2105","layer":2},{"info":"↹⩛-41342⇮⋭↹⩛-2105=↹⩛151","layer":1},{"info":"↹⩛31454↙↹⩛5034=↹⩛-23150","layer":3},{"info":"↹⩛5321⪹=↹⩛51530","layer":3},{"info":"↹⩛-23150⊋≦⊧↹⩛51530=↹⩛520","layer":2},{"info":"↹⩛520⊭∹↮=↹⩛520","layer":1},{"info":"↹⩛151⪒⊣⊆↹⩛520=↹⩛342","layer":0}]} +{"id":927,"expression_no_base_symbol":"↽≂($6443$⇣⩺⋵$9299$)∋($3374$⫸⇳$4616$)⇷($1363$≝⊿$6582$⊊)","expression":"↽≂(↹⩛45455⇣⩺⋵↹⩛111015)∋(↹⩛23342⫸⇳↹⩛33212)⇷(↹⩛10151≝⊿↹⩛50250⊊)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":941079,"operation_count":7,"complexity_ratio":134439.85714285713,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6443,"base":6},"right_expr":{"type":"numeric_atoms","value":9299,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3374,"base":6},"right_expr":{"type":"numeric_atoms","value":4616,"base":6}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1363,"base":6},"right_expr":{"type":"numeric_atoms","value":6582,"base":6}}}}},"used_operators":["u6S6b8DprG","mp7IySMOzn","ukq6epAj5P","F4yD0voBRQ","gx7XJ7hdpj","W9R8I5fN5A","OKKcZfAt5B"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","12rbrZMWeM"],"result":"↹⩛-11443500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6443","layer":4},{"info":"number node, value=9299","layer":4},{"info":"compute binary expreesion, left_input=6443, right_input=9299, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=3374","layer":4},{"info":"number node, value=4616","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=4616, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-67192","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=6582","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=6582, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15060","layer":3},{"info":"compute unary expreesion, input=-15060, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=-67192, right_input=90927, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=181854","layer":1},{"info":"compute unary expreesion, input=181854, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-363708","layer":0}],"base":6,"result_base":6,"text":"↽≂(↹⩛45455⇣⩺⋵↹⩛111015)∋(↹⩛23342⫸⇳↹⩛33212)⇷(↹⩛10151≝⊿↹⩛50250⊊)=↹⩛-11443500","reverse_text":"↹⩛-11443500=↽≂(↹⩛45455⇣⩺⋵↹⩛111015)∋(↹⩛23342⫸⇳↹⩛33212)⇷(↹⩛10151≝⊿↹⩛50250⊊)","cot":[{"info":"↹⩛45455⇣⩺⋵↹⩛111015=↹⩛-1112","layer":3},{"info":"↹⩛23342⫸⇳↹⩛33212=↹⩛0","layer":3},{"info":"↹⩛-1112∋↹⩛0=↹⩛-1235024","layer":2},{"info":"↹⩛10151≝⊿↹⩛50250=↹⩛-153420","layer":3},{"info":"↹⩛-153420⊊=↹⩛1540543","layer":2},{"info":"↹⩛-1235024⇷↹⩛1540543=↹⩛3521530","layer":1},{"info":"↽≂↹⩛3521530=↹⩛-11443500","layer":0}]} +{"id":928,"expression_no_base_symbol":"↞≼(($3371$∑⇟⊟$3665$)→⨶⪴$2538$≁↽≥$6294$≠≀($1384$⩁⩘$5660$)∊∟⩊($2108$⫿))","expression":"↞≼((↹⩛23335∑⇟⊟↹⩛24545)→⨶⪴↹⩛15430≁↽≥↹⩛45050≠≀(↹⩛10224⩁⩘↹⩛42112)∊∟⩊(↹⩛13432⫿))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":80,"operation_count":8,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3371,"base":6},"right_expr":{"type":"numeric_atoms","value":3665,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2538,"base":6},"right_expr":{"type":"numeric_atoms","value":6294,"base":6}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1384,"base":6},"right_expr":{"type":"numeric_atoms","value":5660,"base":6}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2108,"base":6}}}}},"used_operators":["DE7zCoGJt9","IwW236VD4Y","bF6eod5Gvf","U7g4x0WXJJ","ncHt1X6cMc","ddLRYrp01A","gub5Cegaqo","9tKT6PmtkH"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","8w2t5hMYqp","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","IWmyXbctLI","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"↹⩛121232310","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3371","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=3371, right_input=3665, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2538","layer":4},{"info":"number node, value=6294","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=6294, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=48002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=48002, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-144006","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=5660","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=5660, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=23588","layer":3},{"info":"number node, value=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2108","layer":3},{"info":"compute binary expreesion, left_input=23588, right_input=2108, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2108","layer":2},{"info":"compute binary expreesion, left_input=-144006, right_input=2108, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=288318","layer":1},{"info":"compute unary expreesion, input=288318, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=2306130","layer":0}],"base":6,"result_base":6,"text":"↞≼((↹⩛23335∑⇟⊟↹⩛24545)→⨶⪴↹⩛15430≁↽≥↹⩛45050≠≀(↹⩛10224⩁⩘↹⩛42112)∊∟⩊(↹⩛13432⫿))=↹⩛121232310","reverse_text":"↹⩛121232310=↞≼((↹⩛23335∑⇟⊟↹⩛24545)→⨶⪴↹⩛15430≁↽≥↹⩛45050≠≀(↹⩛10224⩁⩘↹⩛42112)∊∟⩊(↹⩛13432⫿))","cot":[{"info":"↹⩛23335∑⇟⊟↹⩛24545=NaN","layer":3},{"info":"↹⩛15430≁↽≥↹⩛45050=↹⩛1010122","layer":3},{"info":"NaN→⨶⪴↹⩛1010122=↹⩛-3030410","layer":2},{"info":"↹⩛10224⩁⩘↹⩛42112=↹⩛301112","layer":3},{"info":"↹⩛13432⫿=↹⩛13432","layer":3},{"info":"↹⩛301112∊∟⩊↹⩛13432=↹⩛13432","layer":2},{"info":"↹⩛-3030410≠≀↹⩛13432=↹⩛10102450","layer":1},{"info":"↞≼↹⩛10102450=↹⩛121232310","layer":0}]} +{"id":929,"expression_no_base_symbol":"(($7684$∖$1842$)⪃⊛⇣(⋼∭⪍$4985$)⋾⨃∁($1209$∀⇚≩$1239$⋥≓≎($1936$⪗)))⩁⩘(⊑(⋼∭⪍$2612$)⩍⋽⫝̸($1058$*$3188$))","expression":"((↹⩛55324∖↹⩛12310)⪃⊛⇣(⋼∭⪍↹⩛35025)⋾⨃∁(↹⩛5333∀⇚≩↹⩛5423⋥≓≎(↹⩛12544⪗)))⩁⩘(⊑(⋼∭⪍↹⩛20032)⩍⋽⫝̸(↹⩛4522*↹⩛22432))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12914,"operation_count":12,"complexity_ratio":1076.1666666666667,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":7684,"base":6},"right_expr":{"type":"numeric_atoms","value":1842,"base":6}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4985,"base":6}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1209,"base":6},"right_expr":{"type":"numeric_atoms","value":1239,"base":6}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1936,"base":6}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2612,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1058,"base":6},"right_expr":{"type":"numeric_atoms","value":3188,"base":6}}}}},"used_operators":["gub5Cegaqo","212REbPD9h","rrgAzCduG9","tXD093vOjl","DbCuESL50I","Qy55tPpLXF","LRNGc0VcxI","VEQNXA0ZBg","IkUmn0D7oy","BiWNJpBvwn","9HNa5Wba9A"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe"],"result":"↹⩛11540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7684","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=7684, right_input=1842, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=4985","layer":4},{"info":"compute unary expreesion, input=4985, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-18200","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-18200, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1239, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=67, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=43992","layer":1},{"info":"number node, value=2612","layer":4},{"info":"compute unary expreesion, input=2612, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-8708","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=3188, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3372904","layer":3},{"info":"compute binary expreesion, left_input=-8708, right_input=3372904, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3371958","layer":2},{"info":"compute unary expreesion, input=3371958, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=43992, right_input=192, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1716","layer":0}],"base":6,"result_base":6,"text":"((↹⩛55324∖↹⩛12310)⪃⊛⇣(⋼∭⪍↹⩛35025)⋾⨃∁(↹⩛5333∀⇚≩↹⩛5423⋥≓≎(↹⩛12544⪗)))⩁⩘(⊑(⋼∭⪍↹⩛20032)⩍⋽⫝̸(↹⩛4522*↹⩛22432))=↹⩛11540","reverse_text":"↹⩛11540=((↹⩛55324∖↹⩛12310)⪃⊛⇣(⋼∭⪍↹⩛35025)⋾⨃∁(↹⩛5333∀⇚≩↹⩛5423⋥≓≎(↹⩛12544⪗)))⩁⩘(⊑(⋼∭⪍↹⩛20032)⩍⋽⫝̸(↹⩛4522*↹⩛22432))","cot":[{"info":"↹⩛55324∖↹⩛12310=↹⩛0","layer":3},{"info":"⋼∭⪍↹⩛35025=↹⩛-220132","layer":3},{"info":"↹⩛0⪃⊛⇣↹⩛-220132=↹⩛5414","layer":2},{"info":"↹⩛5333∀⇚≩↹⩛5423=NaN","layer":3},{"info":"↹⩛12544⪗=NaN","layer":3},{"info":"NaN⋥≓≎NaN=↹⩛151","layer":2},{"info":"↹⩛5414⋾⨃∁↹⩛151=↹⩛535400","layer":1},{"info":"⋼∭⪍↹⩛20032=↹⩛-104152","layer":3},{"info":"↹⩛4522*↹⩛22432=↹⩛200143144","layer":3},{"info":"↹⩛-104152⩍⋽⫝̸↹⩛200143144=↹⩛200134530","layer":2},{"info":"⊑↹⩛200134530=↹⩛520","layer":1},{"info":"↹⩛535400⩁⩘↹⩛520=↹⩛11540","layer":0}]} +{"id":930,"expression_no_base_symbol":"⨂⪏⇭(≅≯⇸$7188$⪪$1343$≧⫂∧$2635$⇂≾⫗$1532$)","expression":"⨂⪏⇭(≅≯⇸↹⩛53140⪪↹⩛10115≧⫂∧↹⩛20111⇂≾⫗↹⩛11032)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21789,"operation_count":5,"complexity_ratio":4357.8,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7188,"base":6},"right_expr":{"type":"numeric_atoms","value":1343,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2635,"base":6},"right_expr":{"type":"numeric_atoms","value":1532,"base":6}}}}},"used_operators":["AYdpE9sXAk","apS25hmuAe","Ph9nP6C5qx","xD69zh8xqp","aBQ6xLxuTc"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛-1141302224","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7188","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=7188, right_input=1343, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1081477","layer":3},{"info":"number node, value=2635","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1532, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-1081477, right_input=-676, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-1080801","layer":2},{"info":"compute unary expreesion, input=-1080801, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-4315527","layer":1},{"info":"compute unary expreesion, input=-4315527, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-12947560","layer":0}],"base":6,"result_base":6,"text":"⨂⪏⇭(≅≯⇸↹⩛53140⪪↹⩛10115≧⫂∧↹⩛20111⇂≾⫗↹⩛11032)=↹⩛-1141302224","reverse_text":"↹⩛-1141302224=⨂⪏⇭(≅≯⇸↹⩛53140⪪↹⩛10115≧⫂∧↹⩛20111⇂≾⫗↹⩛11032)","cot":[{"info":"↹⩛53140⪪↹⩛10115=↹⩛-35102501","layer":3},{"info":"↹⩛20111⇂≾⫗↹⩛11032=↹⩛-3044","layer":3},{"info":"↹⩛-35102501≧⫂∧↹⩛-3044=↹⩛-35055413","layer":2},{"info":"≅≯⇸↹⩛-35055413=↹⩛-232255143","layer":1},{"info":"⨂⪏⇭↹⩛-232255143=↹⩛-1141302224","layer":0}]} +{"id":931,"expression_no_base_symbol":"((⫖→$1079$)⫲≸⪮$1147$⨑⩅≇$1569$)⨽∌(($2269$⋖∅⋲)⇴∐($4430$⊋≦⊧$1697$))⇍⊗(↥≼⋛$1473$)⪃⊛⇣(⩷⨜⫀$3818$)⪝((⫡⇟⇯$3747$)⨿$9292$⇻⋧≁$1444$)","expression":"((⫖→↹⩛4555)⫲≸⪮↹⩛5151⨑⩅≇↹⩛11133)⨽∌((↹⩛14301⋖∅⋲)⇴∐(↹⩛32302⊋≦⊧↹⩛11505))⇍⊗(↥≼⋛↹⩛10453)⪃⊛⇣(⩷⨜⫀↹⩛25402)⪝((⫡⇟⇯↹⩛25203)⨿↹⩛111004⇻⋧≁↹⩛10404)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":27147,"operation_count":15,"complexity_ratio":1809.8,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1079,"base":6}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1147,"base":6},"right_expr":{"type":"numeric_atoms","value":1569,"base":6}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2269,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4430,"base":6},"right_expr":{"type":"numeric_atoms","value":1697,"base":6}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1473,"base":6}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3818,"base":6}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3747,"base":6}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":9292,"base":6},"right_expr":{"type":"numeric_atoms","value":1444,"base":6}}}}},"used_operators":["5uvYHDjeKN","9samAPKr6k","P3lXMJvFrc","U4ylXWHChL","h92wMvzauj","HnzytWxmAO","L95AwlJzhO","oRDoc9rAEX","wicAB68Tmb","rrgAzCduG9","x5lMkHmzsq","CDi0ktkjQ4","abYXlopdE0","qWUSsah53b","jCPkEVoL5K"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","ruOEQAzv1W","nhYeJWJD5X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","P8v4zCKN1o","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"↹⩛-1044","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1569, 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":3},{"info":"compute binary expreesion, left_input=177, right_input=-3441, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=177","layer":2},{"info":"number node, value=2269","layer":4},{"info":"compute unary expreesion, input=2269, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=4430","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=1697, 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=-3154","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=-3154, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-116, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=3818","layer":4},{"info":"compute unary expreesion, input=3818, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3545","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-3545, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=3747","layer":4},{"info":"compute unary expreesion, input=3747, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8362","layer":3},{"info":"number node, value=9292","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=9292, right_input=1444, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=8362, right_input=-447, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-319, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-6611","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6611, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":6,"result_base":6,"text":"((⫖→↹⩛4555)⫲≸⪮↹⩛5151⨑⩅≇↹⩛11133)⨽∌((↹⩛14301⋖∅⋲)⇴∐(↹⩛32302⊋≦⊧↹⩛11505))⇍⊗(↥≼⋛↹⩛10453)⪃⊛⇣(⩷⨜⫀↹⩛25402)⪝((⫡⇟⇯↹⩛25203)⨿↹⩛111004⇻⋧≁↹⩛10404)=↹⩛-1044","reverse_text":"↹⩛-1044=((⫖→↹⩛4555)⫲≸⪮↹⩛5151⨑⩅≇↹⩛11133)⨽∌((↹⩛14301⋖∅⋲)⇴∐(↹⩛32302⊋≦⊧↹⩛11505))⇍⊗(↥≼⋛↹⩛10453)⪃⊛⇣(⩷⨜⫀↹⩛25402)⪝((⫡⇟⇯↹⩛25203)⨿↹⩛111004⇻⋧≁↹⩛10404)","cot":[{"info":"⫖→↹⩛4555=↹⩛453","layer":3},{"info":"↹⩛5151⨑⩅≇↹⩛11133=↹⩛-23533","layer":3},{"info":"↹⩛453⫲≸⪮↹⩛-23533=↹⩛453","layer":2},{"info":"↹⩛14301⋖∅⋲=↹⩛-12122503","layer":3},{"info":"↹⩛32302⊋≦⊧↹⩛11505=↹⩛-22334","layer":3},{"info":"↹⩛-12122503⇴∐↹⩛-22334=↹⩛-312","layer":2},{"info":"↹⩛453⨽∌↹⩛-312=↹⩛0","layer":1},{"info":"↥≼⋛↹⩛10453=↹⩛-305","layer":3},{"info":"⩷⨜⫀↹⩛25402=↹⩛-24225","layer":3},{"info":"↹⩛-305⪃⊛⇣↹⩛-24225=↹⩛5414","layer":2},{"info":"⫡⇟⇯↹⩛25203=↹⩛102414","layer":3},{"info":"↹⩛111004⇻⋧≁↹⩛10404=↹⩛-2023","layer":3},{"info":"↹⩛102414⨿↹⩛-2023=↹⩛-1251","layer":2},{"info":"↹⩛5414⪝↹⩛-1251=↹⩛-50335","layer":1},{"info":"↹⩛0⇍⊗↹⩛-50335=↹⩛-1044","layer":0}]} +{"id":932,"expression_no_base_symbol":"(↩⪖($1026$⪢$3383$)⋕⪉⪜($1912$⩺⪪$5184$))≠≀((⩰$1420$)⫌⩉⩟$3920$⨫⇇↔$1478$)⋹⋡⊁((⪛⨧$2519$)⪭($2222$⇴∐$1154$))","expression":"(↩⪖(↹⩛4430⪢↹⩛23355)⋕⪉⪜(↹⩛12504⩺⪪↹⩛40000))≠≀((⩰↹⩛10324)⫌⩉⩟↹⩛30052⨫⇇↔↹⩛10502)⋹⋡⊁((⪛⨧↹⩛15355)⪭(↹⩛14142⇴∐↹⩛5202))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":290233,"operation_count":12,"complexity_ratio":24186.083333333332,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1026,"base":6},"right_expr":{"type":"numeric_atoms","value":3383,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1912,"base":6},"right_expr":{"type":"numeric_atoms","value":5184,"base":6}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1420,"base":6}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3920,"base":6},"right_expr":{"type":"numeric_atoms","value":1478,"base":6}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2519,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2222,"base":6},"right_expr":{"type":"numeric_atoms","value":1154,"base":6}}}}},"used_operators":["IwW236VD4Y","fG6uBQFnGz","z6LnFrNh4i","dWAJyo7jo9","uvdQJvN4PV","As8RqfVLgs","XIIwhv8d0m","WkeUrDK8WX","LXhwmt4mBO","j9kHMeSvPp","6NJAcO2OWT","HnzytWxmAO"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","COABgblf1C","xUOZtlo3hN","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"↹⩛100330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=3383, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1912","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=5184, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-3798","layer":1},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2420","layer":3},{"info":"number node, value=3920","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=1478, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-2420, right_input=-527, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2519","layer":4},{"info":"compute unary expreesion, input=2519, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6439","layer":3},{"info":"number node, value=2222","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=1154, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6439, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=538","layer":1},{"info":"compute binary expreesion, left_input=-3798, right_input=538, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=7902","layer":0}],"base":6,"result_base":6,"text":"(↩⪖(↹⩛4430⪢↹⩛23355)⋕⪉⪜(↹⩛12504⩺⪪↹⩛40000))≠≀((⩰↹⩛10324)⫌⩉⩟↹⩛30052⨫⇇↔↹⩛10502)⋹⋡⊁((⪛⨧↹⩛15355)⪭(↹⩛14142⇴∐↹⩛5202))=↹⩛100330","reverse_text":"↹⩛100330=(↩⪖(↹⩛4430⪢↹⩛23355)⋕⪉⪜(↹⩛12504⩺⪪↹⩛40000))≠≀((⩰↹⩛10324)⫌⩉⩟↹⩛30052⨫⇇↔↹⩛10502)⋹⋡⊁((���⨧↹⩛15355)⪭(↹⩛14142⇴∐↹⩛5202))","cot":[{"info":"↹⩛4430⪢↹⩛23355=NaN","layer":3},{"info":"↹⩛12504⩺⪪↹⩛40000=↹⩛-12230","layer":3},{"info":"NaN⋕⪉⪜↹⩛-12230=↹⩛540","layer":2},{"info":"↩⪖↹⩛540=↹⩛-25330","layer":1},{"info":"⩰↹⩛10324=↹⩛-15112","layer":3},{"info":"↹⩛30052⨫⇇↔↹⩛10502=↹⩛-2235","layer":3},{"info":"↹⩛-15112⫌⩉⩟↹⩛-2235=↹⩛-122","layer":2},{"info":"⪛⨧↹⩛15355=↹⩛45451","layer":3},{"info":"↹⩛14142⇴∐↹⩛5202=NaN","layer":3},{"info":"↹⩛45451⪭NaN=NaN","layer":2},{"info":"↹⩛-122⋹⋡⊁NaN=↹⩛2254","layer":1},{"info":"↹⩛-25330≠≀↹⩛2254=↹⩛100330","layer":0}]} +{"id":933,"expression_no_base_symbol":"(≘((⨙⪌$4383$)∛(⪝⪂⫅$1862$)))⊬⨰(($2781$⩍⋽⫝̸$5918$⋓(↴⪽⋼$1994$))⊋(($4895$⨰$7047$)∀⇚≩($4306$⨭⪣$9046$)))","expression":"(≘((⨙⪌↹⩛32143)∛(⪝⪂⫅↹⩛12342)))⊬⨰((↹⩛20513⩍⋽⫝̸↹⩛43222⋓(↴⪽⋼↹⩛13122))⊋((↹⩛34355⨰↹⩛52343)∀⇚≩(↹⩛31534⨭⪣↹⩛105514)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16370,"operation_count":12,"complexity_ratio":1364.1666666666667,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":4383,"base":6}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1862,"base":6}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2781,"base":6},"right_expr":{"type":"numeric_atoms","value":5918,"base":6}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1994,"base":6}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4895,"base":6},"right_expr":{"type":"numeric_atoms","value":7047,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4306,"base":6},"right_expr":{"type":"numeric_atoms","value":9046,"base":6}}}}},"used_operators":["s3Fd5m9Dh2","tcjXMdvYtA","w2537kitQq","vEGLkm4Z2k","XTarYq4gQB","W4tP9CfskL","T2fj7uvVaJ","BiWNJpBvwn","5TUYCnJO6w","LRNGc0VcxI","eewbuw0ToL","kn8WO9XteQ"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Ph9nP6C5qx","xUOZtlo3hN","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4383","layer":4},{"info":"compute unary expreesion, input=4383, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-273714","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-273714, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=148518","layer":1},{"info":"number node, value=2781","layer":4},{"info":"number node, value=5918","layer":4},{"info":"compute binary expreesion, left_input=2781, right_input=5918, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4972","layer":3},{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1994","layer":3},{"info":"compute binary expreesion, left_input=4972, right_input=1994, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=4895","layer":4},{"info":"number node, value=7047","layer":4},{"info":"compute binary expreesion, left_input=4895, right_input=7047, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2142","layer":3},{"info":"number node, value=4306","layer":4},{"info":"number node, value=9046","layer":4},{"info":"compute binary expreesion, left_input=4306, right_input=9046, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3027","layer":3},{"info":"compute binary expreesion, left_input=-2142, right_input=3027, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=148518, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≘((⨙⪌↹⩛32143)∛(⪝⪂⫅↹⩛12342)))⊬⨰((↹⩛20513⩍⋽⫝̸↹⩛43222⋓(↴⪽⋼↹⩛13122))⊋((↹⩛34355⨰↹⩛52343)∀⇚≩(↹⩛31534⨭⪣↹⩛105514)))=NaN","reverse_text":"NaN=(≘((⨙⪌↹⩛32143)∛(⪝⪂⫅↹⩛12342)))⊬⨰((↹⩛20513⩍⋽⫝̸↹⩛43222⋓(↴⪽⋼↹⩛13122))⊋((↹⩛34355⨰↹⩛52343)∀⇚≩(↹⩛31534⨭⪣↹⩛105514)))","cot":[{"info":"⨙⪌↹⩛32143=↹⩛4004","layer":3},{"info":"⪝⪂⫅↹⩛12342=↹⩛-5511110","layer":3},{"info":"↹⩛4004∛↹⩛-5511110=↹⩛151","layer":2},{"info":"≘↹⩛151=↹⩛3103330","layer":1},{"info":"↹⩛20513⩍⋽⫝̸↹⩛43222=↹⩛35004","layer":3},{"info":"↴⪽⋼↹⩛13122=↹⩛13122","layer":3},{"info":"↹⩛35004⋓↹⩛13122=↹⩛0","layer":2},{"info":"↹⩛34355⨰↹⩛52343=↹⩛-13530","layer":3},{"info":"↹⩛31534⨭⪣↹⩛105514=↹⩛22003","layer":3},{"info":"↹⩛-13530∀⇚≩↹⩛22003=NaN","layer":2},{"info":"↹⩛0⊋NaN=NaN","layer":1},{"info":"↹⩛3103330⊬⨰NaN=NaN","layer":0}]} +{"id":934,"expression_no_base_symbol":"(($2964$⨟⋌⩍$1517$*$2248$↬$8207$)⫏⊷)≳⇉($1121$⋹⋡⊁$1208$⇯⋐)⪬($5979$∴$1491$⩵∡$3041$⩦$4031$)","expression":"((↹⩛21420⨟⋌⩍↹⩛11005*↹⩛14224↬↹⩛101555)⫏⊷)≳⇉(↹⩛5105⋹⋡⊁↹⩛5332⇯⋐)⪬(↹⩛43403∴↹⩛10523⩵∡↹⩛22025⩦↹⩛30355)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":64745,"operation_count":11,"complexity_ratio":5885.909090909091,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2964,"base":6},"right_expr":{"type":"numeric_atoms","value":1517,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2248,"base":6},"right_expr":{"type":"numeric_atoms","value":8207,"base":6}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1121,"base":6},"right_expr":{"type":"numeric_atoms","value":1208,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5979,"base":6},"right_expr":{"type":"numeric_atoms","value":1491,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3041,"base":6},"right_expr":{"type":"numeric_atoms","value":4031,"base":6}}}}},"used_operators":["V0kx6qeWkN","dcShxvzhyw","9HNa5Wba9A","rGHVDoGpnC","B5M0gjZbta","Ez1Nq5fNfI","LkLIoiE525","As8RqfVLgs","Y7wcNGrDQJ","hrf7POJlIJ","0kmYd0q39Y"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","Tcnh7f0tEr","rGHVDoGpnC","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","glklzrTFfD","tifHPKVTfV","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=1517, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2248","layer":4},{"info":"number node, value=8207","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=8207, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1208, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1958","layer":3},{"info":"compute unary expreesion, input=1958, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6752","layer":2},{"info":"number node, value=5979","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=5979, right_input=1491, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13606","layer":3},{"info":"number node, value=3041","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=4031, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6082","layer":3},{"info":"compute binary expreesion, left_input=13606, right_input=6082, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-21251","layer":2},{"info":"compute binary expreesion, left_input=6752, right_input=-21251, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛21420⨟⋌⩍↹⩛11005*↹⩛14224↬↹⩛101555)⫏⊷)≳⇉(↹⩛5105⋹⋡⊁↹⩛5332⇯⋐)⪬(↹⩛43403∴↹⩛10523⩵∡↹⩛22025⩦↹⩛30355)=NaN","reverse_text":"NaN=((↹⩛21420⨟⋌⩍↹⩛11005*↹⩛14224↬↹⩛101555)⫏⊷)≳⇉(↹⩛5105⋹⋡⊁↹⩛5332⇯⋐)⪬(↹⩛43403∴↹⩛10523⩵∡↹⩛22025⩦↹⩛30355)","cot":[{"info":"↹⩛21420⨟⋌⩍↹⩛11005=NaN","layer":3},{"info":"↹⩛14224↬↹⩛101555=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"NaN⫏⊷=NaN","layer":1},{"info":"↹⩛5105⋹⋡⊁↹⩛5332=↹⩛13022","layer":3},{"info":"↹⩛13022⇯⋐=↹⩛51132","layer":2},{"info":"↹⩛43403∴↹⩛10523=↹⩛142554","layer":3},{"info":"↹⩛22025⩦↹⩛30355=↹⩛44054","layer":3},{"info":"↹⩛142554⩵∡↹⩛44054=↹⩛-242215","layer":2},{"info":"↹⩛51132⪬↹⩛-242215=↹⩛5414","layer":1},{"info":"NaN≳⇉↹⩛5414=NaN","layer":0}]} +{"id":935,"expression_no_base_symbol":"((($1416$⊴⇁⪶)⪇≇⋚($4375$⋻⩜⩜$4031$))⪪($3870$≨$4770$)⪟⇏($7143$⫉⨲⊜$3022$))+⪬∐((($8809$⊉≛↸$1077$)≬⇓$3340$⨥⫆$2792$)↬($1658$≦↸$1239$)⪬($1647$⩷∴$2063$))","expression":"(((↹⩛10320⊴⇁⪶)⪇≇⋚(↹⩛32131⋻⩜⩜↹⩛30355))⪪(↹⩛25530≨↹⩛34030)⪟⇏(↹⩛53023⫉⨲⊜↹⩛21554))+⪬∐(((↹⩛104441⊉≛↸↹⩛4553)≬⇓↹⩛23244⨥⫆↹⩛20532)↬(↹⩛11402≦↸↹⩛5423)⪬(↹⩛11343⩷∴↹⩛13315))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":58874,"operation_count":15,"complexity_ratio":3924.9333333333334,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1416,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4375,"base":6},"right_expr":{"type":"numeric_atoms","value":4031,"base":6}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3870,"base":6},"right_expr":{"type":"numeric_atoms","value":4770,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":7143,"base":6},"right_expr":{"type":"numeric_atoms","value":3022,"base":6}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8809,"base":6},"right_expr":{"type":"numeric_atoms","value":1077,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3340,"base":6},"right_expr":{"type":"numeric_atoms","value":2792,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1658,"base":6},"right_expr":{"type":"numeric_atoms","value":1239,"base":6}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1647,"base":6},"right_expr":{"type":"numeric_atoms","value":2063,"base":6}}}}},"used_operators":["2GS7woTJqF","xD69zh8xqp","3sJ7IOPOlU","oo9mF6JIpo","oDCm7WA9JY","GODebY97qR","0KMCeP1Jsh","WhqkvtTD3t","B5M0gjZbta","jWTQ2TZYIH","DZ8iAZOCBD","yXekIHxTD4","Ez1Nq5fNfI","RygbFNSyEJ","9FxExcQeMw"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","FU0Cs4j7VP","JclMnS0uGI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eewbuw0ToL","zVYPLywUTj","rGHVDoGpnC","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, 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=23474","layer":3},{"info":"number node, value=4375","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=4031, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8750","layer":3},{"info":"compute binary expreesion, left_input=23474, right_input=8750, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=3870","layer":4},{"info":"number node, value=4770","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=4770, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-36224","layer":3},{"info":"number node, value=7143","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=7143, right_input=3022, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-36224, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":1},{"info":"number node, value=8809","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=8809, right_input=1077, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17618","layer":3},{"info":"number node, value=3340","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=2792, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5460","layer":3},{"info":"compute binary expreesion, left_input=17618, right_input=5460, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=1658","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1239, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5113","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=2063, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-864","layer":3},{"info":"compute binary expreesion, left_input=-5113, right_input=-864, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=1234, 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=0, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛10320⊴⇁⪶)⪇≇⋚(↹⩛32131⋻⩜⩜↹⩛30355))⪪(↹⩛25530≨↹⩛34030)⪟⇏(↹⩛53023⫉⨲⊜↹⩛21554))+⪬∐(((↹⩛104441⊉≛↸↹⩛4553)≬⇓↹⩛23244⨥⫆↹⩛20532)↬(↹⩛11402≦↸↹⩛5423)⪬(↹⩛11343⩷∴↹⩛13315))=↹⩛0","reverse_text":"↹⩛0=(((↹⩛10320⊴⇁⪶)⪇≇⋚(↹⩛32131⋻⩜⩜↹⩛30355))⪪(↹⩛25530≨↹⩛34030)⪟⇏(↹⩛53023⫉⨲⊜↹⩛21554))+⪬∐(((↹⩛104441⊉≛↸↹⩛4553)≬⇓↹⩛23244⨥⫆↹⩛20532)↬(↹⩛11402≦↸↹⩛5423)⪬(↹⩛11343⩷∴↹⩛13315))","cot":[{"info":"↹⩛10320⊴⇁⪶=↹⩛300402","layer":3},{"info":"↹⩛32131⋻⩜⩜↹⩛30355=↹⩛104302","layer":3},{"info":"↹⩛300402⪇≇⋚↹⩛104302=↹⩛0","layer":2},{"info":"↹⩛25530≨↹⩛34030=↹⩛-435412","layer":3},{"info":"↹⩛53023⫉⨲⊜↹⩛21554=↹⩛0","layer":3},{"info":"↹⩛-435412⪟⇏↹⩛0=↹⩛0","layer":2},{"info":"↹⩛0⪪↹⩛0=↹⩛0","layer":1},{"info":"↹⩛104441⊉≛↸↹⩛4553=↹⩛213322","layer":3},{"info":"↹⩛23244⨥⫆↹⩛20532=↹⩛41140","layer":3},{"info":"↹⩛213322≬⇓↹⩛41140=↹⩛-34","layer":2},{"info":"↹⩛11402≦↸↹⩛5423=↹⩛-35401","layer":3},{"info":"↹⩛11343⩷∴↹⩛13315=↹⩛-4000","layer":3},{"info":"↹⩛-35401⪬↹⩛-4000=↹⩛5414","layer":2},{"info":"↹⩛-34↬↹⩛5414=NaN","layer":1},{"info":"↹⩛0+⪬∐NaN=↹⩛0","layer":0}]} +{"id":936,"expression_no_base_symbol":"(($6573$⫔⩽⩺$4875$)≃$1917$→⨶⪴$3919$)⨔⇊(∷≠(≀↧⇸$4104$))⊋((⊿$1645$∠⫱$3617$)⪓⨏)","expression":"((↹⩛50233⫔⩽⩺↹⩛34323)≃↹⩛12513→⨶⪴↹⩛30051)⨔⇊(∷≠(≀↧⇸↹⩛31000))⊋((⊿↹⩛11341∠⫱↹⩛24425)⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5964,"operation_count":10,"complexity_ratio":596.4,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6573,"base":6},"right_expr":{"type":"numeric_atoms","value":4875,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1917,"base":6},"right_expr":{"type":"numeric_atoms","value":3919,"base":6}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4104,"base":6}}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1645,"base":6},"right_expr":{"type":"numeric_atoms","value":3617,"base":6}}}}},"used_operators":["W4tP9CfskL","JclMnS0uGI","YbVcJGFEVW","i9eR4S00cU","bF6eod5Gvf","QiR2Oyf5Xj","ljTHtUsqzn","4X9JU4Jbn6","DO4fhlbJSI","QvoQhV0rrE"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Tw270M8GLb","fu6greOZ01","8w2t5hMYqp","9FxExcQeMw","7j4O788W3g","XPYlsWDdGa","23Mk6UjR3U","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6573","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=6573, right_input=4875, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=3919","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=3919, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11757","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11757, 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=46988","layer":2},{"info":"number node, value=4104","layer":4},{"info":"compute unary expreesion, input=4104, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8208","layer":3},{"info":"compute unary expreesion, input=8208, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=8208","layer":2},{"info":"compute binary expreesion, left_input=46988, right_input=8208, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=8208","layer":1},{"info":"number node, value=1645","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=3617, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5674","layer":2},{"info":"compute unary expreesion, input=-5674, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8208, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛50233⫔⩽⩺↹⩛34323)≃↹⩛12513→⨶⪴↹⩛30051)⨔⇊(∷≠(≀↧⇸↹⩛31000))⊋((⊿↹⩛11341∠⫱↹⩛24425)⪓⨏)=NaN","reverse_text":"NaN=((↹⩛50233⫔⩽⩺↹⩛34323)≃↹⩛12513→⨶⪴↹⩛30051)⨔⇊(∷≠(≀↧⇸↹⩛31000))⊋((⊿↹⩛11341∠⫱↹⩛24425)⪓⨏)","cot":[{"info":"↹⩛50233⫔⩽⩺↹⩛34323=NaN","layer":3},{"info":"↹⩛12513→⨶⪴↹⩛30051=↹⩛-130233","layer":3},{"info":"NaN≃↹⩛-130233=↹⩛1001312","layer":2},{"info":"≀↧⇸↹⩛31000=↹⩛102000","layer":3},{"info":"∷≠↹⩛102000=↹⩛102000","layer":2},{"info":"↹⩛1001312⨔⇊↹⩛102000=↹⩛102000","layer":1},{"info":"↹⩛11341∠⫱↹⩛24425=↹⩛5414","layer":3},{"info":"⊿↹⩛5414=↹⩛-42134","layer":2},{"info":"↹⩛-42134⪓⨏=NaN","layer":1},{"info":"↹⩛102000⊋NaN=NaN","layer":0}]} +{"id":937,"expression_no_base_symbol":"((⇐($2263$∣$5849$))∲⫓(⊲⪭($6710$≒∊$5341$)))↸($6078$⩚⊴⇥$2256$)≹⇙⪍($5806$-$1093$)⇴($1001$⊴$1785$≀⩗∶($3539$⫠))","expression":"((⇐(↹⩛14251∣↹⩛43025))∲⫓(⊲⪭(↹⩛51022≒∊↹⩛40421)))↸(↹⩛44050⩚⊴⇥↹⩛14240)≹⇙⪍(↹⩛42514-↹⩛5021)⇴(↹⩛4345⊴↹⩛12133≀⩗∶(↹⩛24215⫠))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":51459,"operation_count":13,"complexity_ratio":3958.3846153846152,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2263,"base":6},"right_expr":{"type":"numeric_atoms","value":5849,"base":6}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6710,"base":6},"right_expr":{"type":"numeric_atoms","value":5341,"base":6}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6078,"base":6},"right_expr":{"type":"numeric_atoms","value":2256,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5806,"base":6},"right_expr":{"type":"numeric_atoms","value":1093,"base":6}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1001,"base":6},"right_expr":{"type":"numeric_atoms","value":1785,"base":6}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":3539,"base":6}}}}},"used_operators":["1eCjFl0mb9","i8ToyICDmI","nmZMaaE0Q9","PPChnnnBFF","k7HXdKtiEU","5KTvxBwnZo","4JB6nKBMSY","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","8INZBEW696","Nsiff2A1zJ","6SnOT2rOjz"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","i8ToyICDmI","xUOZtlo3hN","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","14qkJME0vr","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"number node, value=5849","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=5849, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2263","layer":3},{"info":"compute unary expreesion, input=2263, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=804","layer":2},{"info":"number node, value=6710","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=6710, right_input=5341, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6226","layer":3},{"info":"compute unary expreesion, input=-6226, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=6052","layer":2},{"info":"compute binary expreesion, left_input=804, right_input=6052, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=6078","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=2256, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8455","layer":3},{"info":"number node, value=5806","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=5806, right_input=1093, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4713","layer":3},{"info":"compute binary expreesion, left_input=-8455, right_input=4713, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1785, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3539","layer":4},{"info":"compute unary expreesion, input=3539, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((⇐(↹⩛14251∣↹⩛43025))∲⫓(⊲⪭(↹⩛51022≒∊↹⩛40421)))↸(↹⩛44050⩚⊴⇥↹⩛14240)≹⇙⪍(↹⩛42514-↹⩛5021)⇴(↹⩛4345⊴↹⩛12133≀⩗∶(↹⩛24215⫠))=↹⩛0","reverse_text":"↹⩛0=((⇐(↹⩛14251∣↹⩛43025))∲⫓(⊲⪭(↹⩛51022≒∊↹⩛40421)))↸(↹⩛44050⩚⊴⇥↹⩛14240)≹⇙⪍(↹⩛42514-↹⩛5021)⇴(↹⩛4345⊴↹⩛12133≀⩗∶(↹⩛24215⫠))","cot":[{"info":"↹⩛14251∣↹⩛43025=↹⩛14251","layer":3},{"info":"⇐↹⩛14251=↹⩛3420","layer":2},{"info":"↹⩛51022≒∊↹⩛40421=↹⩛-44454","layer":3},{"info":"⊲⪭↹⩛-44454=↹⩛44004","layer":2},{"info":"↹⩛3420∲⫓↹⩛44004=↹⩛0","layer":1},{"info":"↹⩛44050⩚⊴⇥↹⩛14240=↹⩛-103051","layer":3},{"info":"↹⩛42514-↹⩛5021=↹⩛33453","layer":3},{"info":"↹⩛-103051≹⇙⪍↹⩛33453=NaN","layer":2},{"info":"↹⩛4345⊴↹⩛12133=NaN","layer":3},{"info":"↹⩛24215⫠=↹⩛0","layer":3},{"info":"NaN≀⩗∶↹⩛0=NaN","layer":2},{"info":"NaN⇴NaN=NaN","layer":1},{"info":"↹⩛0↸NaN=↹⩛0","layer":0}]} +{"id":938,"expression_no_base_symbol":"($2650$⇻⋧≁$1567$⇍⊗($2294$≒∊$2130$))∳⫺(($4917$⪑⩈)⋛($6011$⪔$7461$))⪠⩆⊳","expression":"(↹⩛20134⇻⋧≁↹⩛11131⇍⊗(↹⩛14342≒∊↹⩛13510))∳⫺((↹⩛34433⪑⩈)⋛(↹⩛43455⪔↹⩛54313))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11037,"operation_count":8,"complexity_ratio":1379.625,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2650,"base":6},"right_expr":{"type":"numeric_atoms","value":1567,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2294,"base":6},"right_expr":{"type":"numeric_atoms","value":2130,"base":6}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":4917,"base":6}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6011,"base":6},"right_expr":{"type":"numeric_atoms","value":7461,"base":6}}}}},"used_operators":["JLbD19bQDL","AzXXKTstlj","5uvYHDjeKN","jCPkEVoL5K","5KTvxBwnZo","YbUVn0Rbpy","C6VvDP6HwP","GjBEYRfMaF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2650","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=1567, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=2130, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1810","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-1810, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=4917","layer":4},{"info":"compute unary expreesion, input=4917, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=36009","layer":3},{"info":"number node, value=6011","layer":4},{"info":"number node, value=7461","layer":4},{"info":"compute binary expreesion, left_input=6011, right_input=7461, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=36009, right_input=450, 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=191889","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=191889, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-384692","layer":1},{"info":"compute unary expreesion, input=-384692, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20134⇻⋧≁↹⩛11131⇍⊗(↹⩛14342≒∊↹⩛13510))∳⫺((↹⩛34433⪑⩈)⋛(↹⩛43455⪔↹⩛54313))⪠⩆⊳=↹⩛0","reverse_text":"↹⩛0=(↹⩛20134⇻⋧≁↹⩛11131⇍⊗(↹⩛14342≒∊↹⩛13510))∳⫺((↹⩛34433⪑⩈)⋛(↹⩛43455⪔↹⩛54313))⪠⩆⊳","cot":[{"info":"↹⩛20134⇻⋧≁↹⩛11131=↹⩛-2023","layer":3},{"info":"↹⩛14342≒∊↹⩛13510=↹⩛-12214","layer":3},{"info":"↹⩛-2023⇍⊗↹⩛-12214=↹⩛-1044","layer":2},{"info":"↹⩛34433⪑⩈=↹⩛434413","layer":3},{"info":"↹⩛43455⪔↹⩛54313=↹⩛2030","layer":3},{"info":"↹⩛434413⋛↹⩛2030=↹⩛4040213","layer":2},{"info":"↹⩛-1044∳⫺↹⩛4040213=↹⩛-12124552","layer":1},{"info":"↹⩛-12124552⪠⩆⊳=↹⩛0","layer":0}]} +{"id":939,"expression_no_base_symbol":"(⫖→($3116$⨳⩥⨓$3815$)≳⇉(≸≮$4544$))⩺⪪(($2763$⋘⨑⨽)≃$1258$↳∿⪆$3746$⩵∡($4204$⨥⫆$1161$⩺⋐⫨))","expression":"(⫖→(↹⩛22232⨳⩥⨓↹⩛25355)≳⇉(≸≮↹⩛33012))⩺⪪((↹⩛20443⋘⨑⨽)≃↹⩛5454↳∿⪆↹⩛25202⩵∡(↹⩛31244⨥⫆↹⩛5213⩺⋐⫨))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13362,"operation_count":11,"complexity_ratio":1214.7272727272727,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3116,"base":6},"right_expr":{"type":"numeric_atoms","value":3815,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":4544,"base":6}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2763,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1258,"base":6},"right_expr":{"type":"numeric_atoms","value":3746,"base":6}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4204,"base":6},"right_expr":{"type":"numeric_atoms","value":1161,"base":6}}}}},"used_operators":["uvdQJvN4PV","U4ylXWHChL","V0kx6qeWkN","nCS4ZIUYfx","AljMvE3RRm","Y7wcNGrDQJ","YbVcJGFEVW","WmT3o8z6ya","Cw4SuJJGHO","yS9ePUuUdn","yXekIHxTD4"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","rysDP5nf3Z","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"↹⩛-31550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3116","layer":4},{"info":"number node, value=3815","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=3815, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=699","layer":3},{"info":"number node, value=4544","layer":4},{"info":"compute unary expreesion, input=4544, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=699, 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":2},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=2763","layer":4},{"info":"compute unary expreesion, input=2763, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=14598","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=3746, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14598, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"number node, value=4204","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=4204, right_input=1161, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2198","layer":3},{"info":"compute unary expreesion, input=2198, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=69, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-259","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-259, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-4314","layer":0}],"base":6,"result_base":6,"text":"(⫖→(↹⩛22232⨳⩥⨓↹⩛25355)≳⇉(≸≮↹⩛33012))⩺⪪((↹⩛20443⋘⨑⨽)≃↹⩛5454↳∿⪆↹⩛25202⩵∡(↹⩛31244⨥⫆↹⩛5213⩺⋐⫨))=↹⩛-31550","reverse_text":"↹⩛-31550=(⫖→(↹⩛22232⨳⩥⨓↹⩛25355)≳⇉(≸≮↹⩛33012))⩺⪪((↹⩛20443⋘⨑⨽)≃↹⩛5454↳∿⪆↹⩛25202⩵∡(↹⩛31244⨥⫆↹⩛5213⩺⋐⫨))","cot":[{"info":"↹⩛22232⨳⩥⨓↹⩛25355=↹⩛3123","layer":3},{"info":"≸≮↹⩛33012=NaN","layer":3},{"info":"↹⩛3123≳⇉NaN=NaN","layer":2},{"info":"⫖→NaN=↹⩛453","layer":1},{"info":"↹⩛20443⋘⨑⨽=↹⩛151330","layer":3},{"info":"↹⩛5454↳∿⪆↹⩛25202=NaN","layer":3},{"info":"↹⩛151330≃NaN=↹⩛153","layer":2},{"info":"↹⩛31244⨥⫆↹⩛5213=↹⩛14102","layer":3},{"info":"↹⩛14102⩺⋐⫨=↹⩛0","layer":2},{"info":"↹⩛153⩵∡↹⩛0=↹⩛-1111","layer":1},{"info":"↹⩛453⩺⪪↹⩛-1111=↹⩛-31550","layer":0}]} +{"id":940,"expression_no_base_symbol":"(((⇜⊴$1882$)⫰⋱$1632$⨿$4175$)⫘($1066$⇣⩺⋵$3183$)⪬(⊑$3044$))⫘(($1096$⇮⋭$5418$)⨑⩅≇($3690$⇌⫙⪟$3480$)⫉⨲⊜(($1149$⪨⊡$2691$)∀⇚≩(≇⪴$1815$)))","expression":"(((⇜⊴↹⩛12414)⫰⋱↹⩛11320⨿↹⩛31155)⫘(↹⩛4534⇣⩺⋵↹⩛22423)⪬(⊑↹⩛22032))⫘((↹⩛5024⇮⋭↹⩛41030)⨑⩅≇(↹⩛25030⇌⫙⪟↹⩛24040)⫉⨲⊜((↹⩛5153⪨⊡↹⩛20243)∀⇚≩(≇⪴↹⩛12223)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":432266,"operation_count":15,"complexity_ratio":28817.733333333334,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1882,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1632,"base":6},"right_expr":{"type":"numeric_atoms","value":4175,"base":6}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1066,"base":6},"right_expr":{"type":"numeric_atoms","value":3183,"base":6}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":3044,"base":6}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1096,"base":6},"right_expr":{"type":"numeric_atoms","value":5418,"base":6}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3690,"base":6},"right_expr":{"type":"numeric_atoms","value":3480,"base":6}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1149,"base":6},"right_expr":{"type":"numeric_atoms","value":2691,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1815,"base":6}}}}},"used_operators":["48vC8HMD2b","6o9Blt3TJ6","XwDhCwWbUn","abYXlopdE0","Ez1Nq5fNfI","F4yD0voBRQ","IkUmn0D7oy","WhqkvtTD3t","h92wMvzauj","vkpjKywKVM","AFVx7xoS7T","LRNGc0VcxI","kuIXHzHcAH","zoVPnxeHJ3"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eewbuw0ToL","zVYPLywUTj","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","X99M06cbEe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1882","layer":4},{"info":"compute unary expreesion, input=1882, 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=-430438","layer":3},{"info":"number node, value=1632","layer":4},{"info":"number node, value=4175","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=4175, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-430438, right_input=-319, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=430471","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=3183, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2040","layer":3},{"info":"number node, value=3044","layer":4},{"info":"compute unary expreesion, input=3044, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-2040, right_input=192, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=430471, right_input=1234, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=506238301","layer":1},{"info":"number node, value=1096","layer":4},{"info":"number node, value=5418","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=5418, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3690","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=3480, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=113, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=3744","layer":2},{"info":"number node, value=1149","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2691, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4105","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4105, 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=-4105","layer":2},{"info":"compute binary expreesion, left_input=3744, right_input=-4105, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-4215","layer":1},{"info":"compute binary expreesion, left_input=506238301, right_input=-4215, 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":6,"result_base":6,"text":"(((⇜⊴↹⩛12414)⫰⋱↹⩛11320⨿↹⩛31155)⫘(↹⩛4534⇣⩺⋵↹⩛22423)⪬(⊑↹⩛22032))⫘((↹⩛5024⇮⋭↹⩛41030)⨑⩅≇(↹⩛25030⇌⫙⪟↹⩛24040)⫉⨲⊜((↹⩛5153⪨⊡↹⩛20243)∀⇚≩(≇⪴↹⩛12223)))=NaN","reverse_text":"NaN=(((⇜⊴↹⩛12414)⫰⋱↹⩛11320⨿↹⩛31155)⫘(↹⩛4534⇣⩺⋵↹⩛22423)⪬(⊑↹⩛22032))⫘((↹⩛5024⇮⋭↹⩛41030)⨑⩅≇(↹⩛25030⇌⫙⪟↹⩛24040)⫉⨲⊜((↹⩛5153⪨⊡↹⩛20243)∀⇚≩(≇⪴↹⩛12223)))","cot":[{"info":"⇜⊴↹⩛12414=↹⩛-13120434","layer":3},{"info":"↹⩛11320⨿↹⩛31155=↹⩛-1251","layer":3},{"info":"↹⩛-13120434⫰⋱↹⩛-1251=↹⩛13120531","layer":2},{"info":"↹⩛4534⇣⩺⋵↹⩛22423=↹⩛-13240","layer":3},{"info":"⊑↹⩛22032=↹⩛520","layer":3},{"info":"↹⩛-13240⪬↹⩛520=↹⩛5414","layer":2},{"info":"↹⩛13120531⫘↹⩛5414=↹⩛122122235501","layer":1},{"info":"↹⩛5024⇮⋭↹⩛41030=↹⩛-2105","layer":3},{"info":"↹⩛25030⇌⫙⪟↹⩛24040=↹⩛305","layer":3},{"info":"↹⩛-2105⨑⩅≇↹⩛305=↹⩛25200","layer":2},{"info":"↹⩛5153⪨⊡↹⩛20243=↹⩛0","layer":3},{"info":"≇⪴↹⩛12223=↹⩛-31001","layer":3},{"info":"↹⩛0∀⇚≩↹⩛-31001=↹⩛-31001","layer":2},{"info":"↹⩛25200⫉⨲⊜↹⩛-31001=↹⩛-31303","layer":1},{"info":"↹⩛122122235501⫘↹⩛-31303=NaN","layer":0}]} +{"id":941,"expression_no_base_symbol":"⊄⩳↩(((⩎⋉$1363$)∽$3712$≬⇓$4009$)⋾⨃∁((⇙⪊$1396$)↸$2314$⫣⪄⊒$5087$))","expression":"⊄⩳↩(((⩎⋉↹⩛10151)∽↹⩛25104≬⇓↹⩛30321)⋾⨃∁((⇙⪊↹⩛10244)↸↹⩛14414⫣⪄⊒↹⩛35315))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":160,"operation_count":8,"complexity_ratio":20.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1363,"base":6}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3712,"base":6},"right_expr":{"type":"numeric_atoms","value":4009,"base":6}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1396,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2314,"base":6},"right_expr":{"type":"numeric_atoms","value":5087,"base":6}}}}},"used_operators":["8w2t5hMYqp","212REbPD9h","y4ImoPnbV5","FlXk3pOYe8","jWTQ2TZYIH","1eCjFl0mb9","pB6Fcnrjim","RabNbG55vr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"↹⩛-2120","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=3712","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=4009, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-22, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8006","layer":2},{"info":"number node, value=1396","layer":4},{"info":"compute unary expreesion, input=1396, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=2314","layer":4},{"info":"number node, value=5087","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=5087, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-26406","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-26406, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-8006, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":0}],"base":6,"result_base":6,"text":"⊄⩳↩(((⩎⋉↹⩛10151)∽↹⩛25104≬⇓↹⩛30321)⋾⨃∁((⇙⪊↹⩛10244)↸↹⩛14414⫣⪄⊒↹⩛35315))=↹⩛-2120","reverse_text":"↹⩛-2120=⊄⩳↩(((⩎⋉↹⩛10151)∽↹⩛25104≬⇓↹⩛30321)⋾⨃∁((⇙⪊↹⩛10244)↸↹⩛14414⫣⪄⊒↹⩛35315))","cot":[{"info":"⩎⋉↹⩛10151=↹⩛11350","layer":3},{"info":"↹⩛25104≬⇓↹⩛30321=↹⩛-34","layer":3},{"info":"↹⩛11350∽↹⩛-34=↹⩛-101022","layer":2},{"info":"⇙⪊↹⩛10244=↹⩛0","layer":3},{"info":"↹⩛14414⫣⪄⊒↹⩛35315=↹⩛-322130","layer":3},{"info":"↹⩛0↸↹⩛-322130=↹⩛0","layer":2},{"info":"↹⩛-101022⋾⨃∁↹⩛0=↹⩛424","layer":1},{"info":"⊄⩳↩↹⩛424=↹⩛-2120","layer":0}]} +{"id":942,"expression_no_base_symbol":"((($1741$≝⊿$1819$)⪷)⇞)⨉","expression":"(((↹⩛12021≝⊿↹⩛12231)⪷)⇞)⨉","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5957,"operation_count":4,"complexity_ratio":1489.25,"tree":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1741,"base":6},"right_expr":{"type":"numeric_atoms","value":1819,"base":6}}}}},"used_operators":["aMUSaJuDRU","5JYyxRJd4f","Qctrpi3WzA","OKKcZfAt5B"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","Nsiff2A1zJ","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1819, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5912","layer":3},{"info":"compute unary expreesion, input=-5912, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↹⩛12021≝⊿↹⩛12231)⪷)⇞)⨉=NaN","reverse_text":"NaN=(((↹⩛12021≝⊿↹⩛12231)⪷)⇞)⨉","cot":[{"info":"↹⩛12021≝⊿↹⩛12231=↹⩛-43212","layer":3},{"info":"↹⩛-43212⪷=NaN","layer":2},{"info":"NaN⇞=NaN","layer":1},{"info":"NaN⨉=NaN","layer":0}]} +{"id":943,"expression_no_base_symbol":"(⪫⨮⊛$5202$)≁↽≥($2272$⋾⨃∁$4286$)⪍↜⋙($5935$⪨⊡$3703$⫌⩉⩟(⊆⋠$1232$))∲⫓(($5693$⨚⇆$2264$)≦↸(⩰$1690$))⨸(($2878$⋖∅⋲)⩒⫫$5274$≁↽≥$1873$)","expression":"(⪫⨮⊛↹⩛40030)≁↽≥(↹⩛14304⋾⨃∁↹⩛31502)⪍↜⋙(↹⩛43251⪨⊡↹⩛25051⫌⩉⩟(⊆⋠↹⩛5412))∲⫓((↹⩛42205⨚⇆↹⩛14252)≦↸(⩰↹⩛11454))⨸((↹⩛21154⋖∅⋲)⩒⫫↹⩛40230≁↽≥↹⩛12401)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3194251,"operation_count":15,"complexity_ratio":212950.06666666668,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5202,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2272,"base":6},"right_expr":{"type":"numeric_atoms","value":4286,"base":6}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5935,"base":6},"right_expr":{"type":"numeric_atoms","value":3703,"base":6}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1232,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5693,"base":6},"right_expr":{"type":"numeric_atoms","value":2264,"base":6}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1690,"base":6}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2878,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5274,"base":6},"right_expr":{"type":"numeric_atoms","value":1873,"base":6}}}}},"used_operators":["i8ToyICDmI","L05ObWFQCd","ncHt1X6cMc","w5FWba1tyO","212REbPD9h","XIIwhv8d0m","kuIXHzHcAH","EBhcHTkKd8","KmoU8R5UQR","RygbFNSyEJ","lwHaAYXP2r","WkeUrDK8WX","KFSx94NKJn","L95AwlJzhO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5202","layer":4},{"info":"compute unary expreesion, input=5202, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=2272","layer":4},{"info":"number node, value=4286","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=4286, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=183646434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=183646434, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"number node, value=5935","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=5935, right_input=3703, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=218","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"number node, value=5693","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=5693, right_input=2264, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2690, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=5274","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=5274, right_input=1873, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=74660","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=74660, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪫⨮⊛↹⩛40030)≁↽≥(↹⩛14304⋾⨃∁↹⩛31502)⪍↜⋙(↹⩛43251⪨⊡↹⩛25051⫌⩉⩟(⊆⋠↹⩛5412))∲⫓((↹⩛42205⨚⇆↹⩛14252)≦↸(⩰↹⩛11454))⨸((↹⩛21154⋖∅⋲)⩒⫫↹⩛40230≁↽≥↹⩛12401)=NaN","reverse_text":"NaN=(⪫⨮⊛↹⩛40030)≁↽≥(↹⩛14304⋾⨃∁↹⩛31502)⪍↜⋙(↹⩛43251⪨⊡↹⩛25051⫌⩉⩟(⊆⋠↹⩛5412))∲⫓((↹⩛42205⨚⇆↹⩛14252)≦↸(⩰↹⩛11454))⨸((↹⩛21154⋖∅⋲)⩒⫫↹⩛40230≁↽≥↹⩛12401)","cot":[{"info":"⪫⨮⊛↹⩛40030=NaN","layer":3},{"info":"↹⩛14304⋾⨃∁↹⩛31502=↹⩛30120102550","layer":3},{"info":"NaN≁↽≥↹⩛30120102550=NaN","layer":2},{"info":"↹⩛43251⪨⊡↹⩛25051=↹⩛0","layer":3},{"info":"⊆⋠↹⩛5412=↹⩛0","layer":3},{"info":"↹⩛0⫌⩉⩟↹⩛0=↹⩛1002","layer":2},{"info":"NaN⪍↜⋙↹⩛1002=NaN","layer":1},{"info":"↹⩛42205⨚⇆↹⩛14252=NaN","layer":3},{"info":"⩰↹⩛11454=↹⩛-20242","layer":3},{"info":"NaN≦↸↹⩛-20242=NaN","layer":2},{"info":"↹⩛21154⋖∅⋲=↹⩛-12122503","layer":3},{"info":"↹⩛40230≁↽≥↹⩛12401=↹⩛1333352","layer":3},{"info":"↹⩛-12122503⩒⫫↹⩛1333352=↹⩛424","layer":2},{"info":"NaN⨸↹⩛424=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]} +{"id":944,"expression_no_base_symbol":"∡($4131$≹⇙⪍$1703$)⩦($7304$⩒⫫$4117$)⪛($1213$⊋$1016$∠↢(⊄⩳↩$5672$))","expression":"∡(↹⩛31043≹⇙⪍↹⩛11515)⩦(↹⩛53452⩒⫫↹⩛31021)⪛(↹⩛5341⊋↹⩛4412∠↢(⊄⩳↩↹⩛42132))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":569,"operation_count":8,"complexity_ratio":71.125,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4131,"base":6},"right_expr":{"type":"numeric_atoms","value":1703,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":7304,"base":6},"right_expr":{"type":"numeric_atoms","value":4117,"base":6}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1213,"base":6},"right_expr":{"type":"numeric_atoms","value":1016,"base":6}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5672,"base":6}}}}},"used_operators":["pRsWfj4Fpp","uFcxV4UQCh","0kmYd0q39Y","AHs5Up7iyr","KFSx94NKJn","KbjG8mgYpV","W4tP9CfskL","8w2t5hMYqp"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4131","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=1703, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7304","layer":4},{"info":"number node, value=4117","layer":4},{"info":"compute binary expreesion, left_input=7304, right_input=4117, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7002, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1016, 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=1766224","layer":3},{"info":"number node, value=5672","layer":4},{"info":"compute unary expreesion, input=5672, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17016","layer":3},{"info":"compute binary expreesion, left_input=1766224, right_input=-17016, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-6825590","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6825590, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∡(↹⩛31043≹⇙⪍↹⩛11515)⩦(↹⩛53452⩒⫫↹⩛31021)⪛(↹⩛5341⊋↹⩛4412∠↢(⊄⩳↩↹⩛42132))=NaN","reverse_text":"NaN=∡(↹⩛31043≹⇙⪍↹⩛11515)⩦(↹⩛53452⩒⫫↹⩛31021)⪛(↹⩛5341⊋↹⩛4412∠↢(⊄⩳↩↹⩛42132))","cot":[{"info":"↹⩛31043≹⇙⪍↹⩛11515=NaN","layer":3},{"info":"↹⩛53452⩒⫫↹⩛31021=↹⩛52230","layer":3},{"info":"NaN⩦↹⩛52230=NaN","layer":2},{"info":"↹⩛5341⊋↹⩛4412=↹⩛101504544","layer":3},{"info":"⊄⩳↩↹⩛42132=↹⩛-210440","layer":3},{"info":"↹⩛101504544∠↢↹⩛-210440=↹⩛-402143542","layer":2},{"info":"NaN⪛↹⩛-402143542=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]} +{"id":945,"expression_no_base_symbol":"(($3781$⩹$4649$+$1328$≌$1014$)⩧⪆($4375$⪢$2961$⪐))≹⇙⪍(⇜⊴(⊖∈$6655$)⪨⊡$3932$⇤$1185$)","expression":"((↹⩛25301⩹↹⩛33305+↹⩛10052≌↹⩛4410)⩧⪆(↹⩛32131⪢↹⩛21413⪐))≹⇙⪍(⇜⊴(⊖∈↹⩛50451)⪨⊡↹⩛30112⇤↹⩛5253)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5032,"operation_count":11,"complexity_ratio":457.45454545454544,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3781,"base":6},"right_expr":{"type":"numeric_atoms","value":4649,"base":6}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1328,"base":6},"right_expr":{"type":"numeric_atoms","value":1014,"base":6}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4375,"base":6},"right_expr":{"type":"numeric_atoms","value":2961,"base":6}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":6655,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3932,"base":6},"right_expr":{"type":"numeric_atoms","value":1185,"base":6}}}}},"used_operators":["AHs5Up7iyr","Ikt5ks8PT7","W4YGzv6Whe","2Wsdkap16l","lyWz822IDG","eH2TOUuTDT","dWAJyo7jo9","XwDhCwWbUn","kuIXHzHcAH","YFxL8Sc2Zy","YSKBFp38Pu"],"dependent_operators":["dWAJyo7jo9","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3781","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=4649, 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=4647","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1014, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4647, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4375","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=2961, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=6655","layer":4},{"info":"compute unary expreesion, input=6655, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=127506","layer":3},{"info":"number node, value=3932","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=1185, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22737","layer":3},{"info":"compute binary expreesion, left_input=127506, right_input=-22737, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=91737","layer":2},{"info":"compute unary expreesion, input=91737, 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=-21636218","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21636218, 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":6,"result_base":6,"text":"((↹⩛25301⩹↹⩛33305+↹⩛10052≌↹⩛4410)⩧⪆(↹⩛32131⪢↹⩛21413⪐))≹⇙⪍(⇜⊴(⊖∈↹⩛50451)⪨⊡↹⩛30112⇤↹⩛5253)=NaN","reverse_text":"NaN=((↹⩛25301⩹↹⩛33305+↹⩛10052≌↹⩛4410)⩧⪆(↹⩛32131⪢↹⩛21413⪐))≹⇙⪍(⇜⊴(⊖∈↹⩛50451)⪨⊡↹⩛30112⇤↹⩛5253)","cot":[{"info":"↹⩛25301⩹↹⩛33305=↹⩛33303","layer":3},{"info":"↹⩛10052≌↹⩛4410=NaN","layer":3},{"info":"↹⩛33303+NaN=NaN","layer":2},{"info":"↹⩛32131⪢↹⩛21413=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"NaN⩧⪆NaN=NaN","layer":1},{"info":"⊖∈↹⩛50451=↹⩛2422150","layer":3},{"info":"↹⩛30112⇤↹⩛5253=↹⩛-253133","layer":3},{"info":"↹⩛2422150⪨⊡↹⩛-253133=↹⩛1544413","layer":2},{"info":"⇜⊴↹⩛1544413=↹⩛-2051423402","layer":1},{"info":"NaN≹⇙⪍↹⩛-2051423402=NaN","layer":0}]} +{"id":946,"expression_no_base_symbol":"(($2480$⪥$2100$⪓⨏)⫸⇳(⋃($1194$⊨$2409$)))⨲","expression":"((↹⩛15252⪥↹⩛13420⪓⨏)⫸⇳(⋃(↹⩛5310⊨↹⩛15053)))⨲","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19913,"operation_count":6,"complexity_ratio":3318.8333333333335,"tree":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2480,"base":6},"right_expr":{"type":"numeric_atoms","value":2100,"base":6}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1194,"base":6},"right_expr":{"type":"numeric_atoms","value":2409,"base":6}}}}},"used_operators":["nLYMGWM7L8","gx7XJ7hdpj","4X9JU4Jbn6","QbnwKVWMIQ","3mBM5G4a3l","vg4gO5BX6G"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"↹⩛244215501","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=2100, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14572","layer":3},{"info":"compute unary expreesion, input=14572, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=2409, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5807","layer":3},{"info":"compute unary expreesion, input=5807, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=11716","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11716, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":0}],"base":6,"result_base":6,"text":"((↹⩛15252⪥↹⩛13420⪓⨏)⫸⇳(⋃(↹⩛5310⊨↹⩛15053)))⨲=↹⩛244215501","reverse_text":"↹⩛244215501=((↹⩛15252⪥↹⩛13420⪓⨏)⫸⇳(⋃(↹⩛5310⊨↹⩛15053)))⨲","cot":[{"info":"↹⩛15252⪥↹⩛13420=↹⩛151244","layer":3},{"info":"↹⩛151244⪓⨏=NaN","layer":2},{"info":"↹⩛5310⊨↹⩛15053=↹⩛42515","layer":3},{"info":"⋃↹⩛42515=↹⩛130124","layer":2},{"info":"NaN⫸⇳↹⩛130124=NaN","layer":1},{"info":"NaN⨲=↹⩛244215501","layer":0}]} +{"id":947,"expression_no_base_symbol":"⩩(($1821$⪛⫼$1728$⩹$5239$⋾⨃∁$3117$)⪎↠(⪫⨮⊛($1521$⫯⪬∳$1902$)))","expression":"⩩((↹⩛12233⪛⫼↹⩛12000⩹↹⩛40131⋾⨃∁↹⩛22233)⪎↠(⪫⨮⊛(↹⩛11013⫯⪬∳↹⩛12450)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3502912,"operation_count":7,"complexity_ratio":500416.0,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1821,"base":6},"right_expr":{"type":"numeric_atoms","value":1728,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5239,"base":6},"right_expr":{"type":"numeric_atoms","value":3117,"base":6}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1521,"base":6},"right_expr":{"type":"numeric_atoms","value":1902,"base":6}}}}},"used_operators":["kMhfGuqI2H","3tVxb0NHM4","2Wsdkap16l","hyuBjUqXlG","212REbPD9h","w5FWba1tyO","d7ASUq0ydm"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1821","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1728, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=5239","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=3117, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=97119392","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=97119392, 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=97119390","layer":2},{"info":"number node, value=1521","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=1902, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5736","layer":3},{"info":"compute unary expreesion, input=5736, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=97119390, right_input=nan, 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 = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩩((↹⩛12233⪛⫼↹⩛12000⩹↹⩛40131⋾⨃∁↹⩛22233)⪎↠(⪫⨮⊛(↹⩛11013⫯⪬∳↹⩛12450)))=NaN","reverse_text":"NaN=⩩((↹⩛12233⪛⫼↹⩛12000⩹↹⩛40131⋾⨃∁↹⩛22233)⪎↠(⪫⨮⊛(↹⩛11013⫯⪬∳↹⩛12450)))","cot":[{"info":"↹⩛12233⪛⫼↹⩛12000=↹⩛4252","layer":3},{"info":"↹⩛40131⋾⨃∁↹⩛22233=↹⩛13345334452","layer":3},{"info":"↹⩛4252⩹↹⩛13345334452=↹⩛13345334450","layer":2},{"info":"↹⩛11013⫯⪬∳↹⩛12450=↹⩛42320","layer":3},{"info":"⪫⨮⊛↹⩛42320=NaN","layer":2},{"info":"↹⩛13345334450⪎↠NaN=↹⩛424","layer":1},{"info":"⩩↹⩛424=NaN","layer":0}]} +{"id":948,"expression_no_base_symbol":"($1035$⫘$4046$⩍⋽⫝̸(≪$7795$)⊉≛↸($4759$⋥≓≎$3214$)⊬⨰($7837$⋭≵$1938$))∠↢($3891$↤⩊$1273$⊋(∡$1381$))↓(($1251$⨕⋳)/$3244$⋥⋵⩄$3602$)","expression":"(↹⩛4443⫘↹⩛30422⩍⋽⫝̸(≪↹⩛100031)⊉≛↸(↹⩛34011⋥≓≎↹⩛22514)⊬⨰(↹⩛100141⋭≵↹⩛12550))∠↢(↹⩛30003↤⩊↹⩛5521⊋(∡↹⩛10221))↓((↹⩛5443⨕⋳)/↹⩛23004⋥⋵⩄↹⩛24402)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5982,"operation_count":15,"complexity_ratio":398.8,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1035,"base":6},"right_expr":{"type":"numeric_atoms","value":4046,"base":6}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":7795,"base":6}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4759,"base":6},"right_expr":{"type":"numeric_atoms","value":3214,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":7837,"base":6},"right_expr":{"type":"numeric_atoms","value":1938,"base":6}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3891,"base":6},"right_expr":{"type":"numeric_atoms","value":1273,"base":6}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1381,"base":6}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1251,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3244,"base":6},"right_expr":{"type":"numeric_atoms","value":3602,"base":6}}}}},"used_operators":["KbjG8mgYpV","DZ8iAZOCBD","BiWNJpBvwn","48vC8HMD2b","Qtd6bqUJcN","s3Fd5m9Dh2","Qy55tPpLXF","jBncVCNhdl","Af076pWI7l","W4tP9CfskL","13rbtpv6ld","pRsWfj4Fpp","XhwjNDsVaA","4X4GscPmMf","7t3wd0Fuz7"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"↹⩛-1252410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=4046, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1221565","layer":3},{"info":"number node, value=7795","layer":4},{"info":"compute unary expreesion, input=7795, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=1221565, right_input=913, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-33","layer":2},{"info":"number node, value=4759","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=4759, right_input=3214, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1702","layer":3},{"info":"number node, value=7837","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=7837, right_input=1938, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=1702, right_input=67, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=914","layer":2},{"info":"compute binary expreesion, left_input=-33, right_input=914, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-66","layer":1},{"info":"number node, value=3891","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=1273, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1381","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1381, 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=-33074","layer":2},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=29716","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=3602, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=29716, right_input=113, op_id = XhwjNDsVaA binary_op_definition= 'None', output=262","layer":2},{"info":"compute binary expreesion, left_input=-33074, right_input=262, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=5044","layer":1},{"info":"compute binary expreesion, left_input=-66, right_input=5044, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-69270","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4443⫘↹⩛30422⩍⋽⫝̸(≪↹⩛100031)⊉≛↸(↹⩛34011⋥≓≎↹⩛22514)⊬⨰(↹⩛100141⋭≵↹⩛12550))∠↢(↹⩛30003↤⩊↹⩛5521⊋(∡↹⩛10221))↓((↹⩛5443⨕⋳)/↹⩛23004⋥⋵⩄↹⩛24402)=↹⩛-1252410","reverse_text":"↹⩛-1252410=(↹⩛4443⫘↹⩛30422⩍⋽⫝̸(≪↹⩛100031)⊉≛↸(↹⩛34011⋥≓≎↹⩛22514)⊬⨰(↹⩛100141⋭≵↹⩛12550))∠↢(↹⩛30003↤⩊↹⩛5521⊋(∡↹⩛10221))↓((↹⩛5443⨕⋳)/↹⩛23004⋥⋵⩄↹⩛24402)","cot":[{"info":"↹⩛4443⫘↹⩛30422=↹⩛42103221","layer":3},{"info":"≪↹⩛100031=↹⩛4121","layer":3},{"info":"↹⩛42103221⩍⋽⫝̸↹⩛4121=↹⩛-53","layer":2},{"info":"↹⩛34011⋥≓≎↹⩛22514=↹⩛11514","layer":3},{"info":"↹⩛100141⋭≵↹⩛12550=↹⩛151","layer":3},{"info":"↹⩛11514⊬⨰↹⩛151=↹⩛4122","layer":2},{"info":"↹⩛-53⊉≛↸↹⩛4122=↹⩛-150","layer":1},{"info":"↹⩛30003↤⩊↹⩛5521=NaN","layer":3},{"info":"∡↹⩛10221=↹⩛-10221","layer":3},{"info":"NaN⊋↹⩛-10221=↹⩛-413042","layer":2},{"info":"↹⩛5443⨕⋳=↹⩛345324","layer":3},{"info":"↹⩛23004⋥⋵⩄↹⩛24402=↹⩛305","layer":3},{"info":"↹⩛345324/↹⩛305=↹⩛1114","layer":2},{"info":"↹⩛-413042↓↹⩛1114=↹⩛35204","layer":1},{"info":"↹⩛-150∠↢↹⩛35204=↹⩛-1252410","layer":0}]} +{"id":949,"expression_no_base_symbol":"($8281$≀⫉$4568$)∺≝⩲($2987$≠≀$3561$)⫉⨲⊜($1290$≒∊$2512$)⨐($1191$⋥≓≎$6520$)⇷(($9084$∠⫱$1299$)⫘$1807$⪃⊛⇣$1183$⨸⪁($3208$≠≀$6220$)≝⊿$2156$∴$6453$)","expression":"(↹⩛102201≀⫉↹⩛33052)∺≝⩲(↹⩛21455≠≀↹⩛24253)⫉⨲⊜(↹⩛5550≒∊↹⩛15344)⨐(↹⩛5303⋥≓≎↹⩛50104)⇷((↹⩛110020∠⫱↹⩛10003)⫘↹⩛12211⪃⊛⇣↹⩛5251⨸⪁(↹⩛22504≠≀↹⩛44444)≝⊿↹⩛13552∴↹⩛45513)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2311,"operation_count":15,"complexity_ratio":154.06666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8281,"base":6},"right_expr":{"type":"numeric_atoms","value":4568,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2987,"base":6},"right_expr":{"type":"numeric_atoms","value":3561,"base":6}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1290,"base":6},"right_expr":{"type":"numeric_atoms","value":2512,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1191,"base":6},"right_expr":{"type":"numeric_atoms","value":6520,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":9084,"base":6},"right_expr":{"type":"numeric_atoms","value":1299,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1807,"base":6},"right_expr":{"type":"numeric_atoms","value":1183,"base":6}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3208,"base":6},"right_expr":{"type":"numeric_atoms","value":6220,"base":6}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2156,"base":6},"right_expr":{"type":"numeric_atoms","value":6453,"base":6}}}}},"used_operators":["mp7IySMOzn","WhqkvtTD3t","KPf6cnQVty","oZj3VtZNQx","IwW236VD4Y","Noe24qw2ks","5KTvxBwnZo","Qy55tPpLXF","g55IO6H4Gj","48vC8HMD2b","QvoQhV0rrE","rrgAzCduG9","OKKcZfAt5B","hrf7POJlIJ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eewbuw0ToL","zVYPLywUTj","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"↹⩛324125520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8281","layer":4},{"info":"number node, value=4568","layer":4},{"info":"compute binary expreesion, left_input=8281, right_input=4568, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2987","layer":4},{"info":"number node, value=3561","layer":4},{"info":"compute binary expreesion, left_input=2987, right_input=3561, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5668","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-5668, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2512, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-806","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=6520","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=6520, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11882","layer":3},{"info":"compute binary expreesion, left_input=-806, right_input=11882, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=1612","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1612, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=9084","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=9084, right_input=1299, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1807","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1183, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1455589","layer":2},{"info":"number node, value=3208","layer":4},{"info":"number node, value=6220","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=6220, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6110","layer":3},{"info":"number node, value=2156","layer":4},{"info":"number node, value=6453","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=6453, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5960","layer":3},{"info":"compute binary expreesion, left_input=-6110, right_input=5960, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6343","layer":2},{"info":"compute binary expreesion, left_input=1455589, right_input=-6343, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2898492","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2898492, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5796984","layer":0}],"base":6,"result_base":6,"text":"(↹⩛102201≀⫉↹⩛33052)∺≝⩲(↹⩛21455≠≀↹⩛24253)⫉⨲⊜(↹⩛5550≒∊↹⩛15344)⨐(↹⩛5303⋥≓≎↹⩛50104)⇷((↹⩛110020∠⫱↹⩛10003)⫘↹⩛12211⪃⊛⇣↹⩛5251⨸⪁(↹⩛22504≠≀↹⩛44444)≝⊿↹⩛13552∴↹⩛45513)=↹⩛324125520","reverse_text":"↹⩛324125520=(↹⩛102201≀⫉↹⩛33052)∺≝⩲(↹⩛21455≠≀↹⩛24253)⫉⨲⊜(↹⩛5550≒∊↹⩛15344)⨐(↹⩛5303⋥≓≎↹⩛50104)⇷((↹⩛110020∠⫱↹⩛10003)⫘↹⩛12211⪃⊛⇣↹⩛5251⨸⪁(↹⩛22504≠≀↹⩛44444)≝⊿↹⩛13552∴↹⩛45513)","cot":[{"info":"↹⩛102201≀⫉↹⩛33052=↹⩛21022","layer":3},{"info":"↹⩛21455≠≀↹⩛24253=↹⩛-42124","layer":3},{"info":"↹⩛21022∺≝⩲↹⩛-42124=↹⩛424","layer":2},{"info":"↹⩛5550≒∊↹⩛15344=↹⩛-3422","layer":3},{"info":"↹⩛5303⋥≓≎↹⩛50104=↹⩛131002","layer":3},{"info":"↹⩛-3422⨐↹⩛131002=↹⩛11244","layer":2},{"info":"↹⩛424⫉⨲⊜↹⩛11244=↹⩛0","layer":1},{"info":"↹⩛110020∠⫱↹⩛10003=↹⩛5414","layer":3},{"info":"↹⩛12211⪃⊛⇣↹⩛5251=↹⩛5414","layer":3},{"info":"↹⩛5414⫘↹⩛5414=↹⩛51110501","layer":2},{"info":"↹⩛22504≠≀↹⩛44444=↹⩛-44142","layer":3},{"info":"↹⩛13552∴↹⩛45513=↹⩛43332","layer":3},{"info":"↹⩛-44142≝⊿↹⩛43332=↹⩛-45211","layer":2},{"info":"↹⩛51110501⨸⪁↹⩛-45211=↹⩛142042540","layer":1},{"info":"↹⩛0⇷↹⩛142042540=↹⩛324125520","layer":0}]} +{"id":950,"expression_no_base_symbol":"(⪫⨮⊛($4101$⪇≇⋚$4829$⫦⪉$2371$⊬⨰$1380$))⪨≂(≑⋹$5719$)⊬⨰(⇋⊎⋝$2718$)⫸⊐($5219$⇂≾⫗$6094$⫲⨊)","expression":"(⪫⨮⊛(↹⩛30553⪇≇⋚↹⩛34205⫦⪉↹⩛14551⊬⨰↹⩛10220))⪨≂(≑⋹↹⩛42251)⊬⨰(⇋⊎⋝↹⩛20330)⫸⊐(↹⩛40055⇂≾⫗↹⩛44114⫲⨊)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2967600,"operation_count":11,"complexity_ratio":269781.8181818182,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4101,"base":6},"right_expr":{"type":"numeric_atoms","value":4829,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2371,"base":6},"right_expr":{"type":"numeric_atoms","value":1380,"base":6}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":5719,"base":6}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2718,"base":6}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5219,"base":6},"right_expr":{"type":"numeric_atoms","value":6094,"base":6}}}}},"used_operators":["sdazOOVcIp","w5FWba1tyO","wscyQdcy20","3sJ7IOPOlU","s3Fd5m9Dh2","mqXw5SEYmG","6B9nyZLogK","CzM2PEoXns","CArV6hThFE","aBQ6xLxuTc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","dWAJyo7jo9","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4101","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=4101, right_input=4829, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2371","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=1380, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6835","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6835, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute unary expreesion, input=4900, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"number node, value=5719","layer":4},{"info":"compute unary expreesion, input=5719, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=2718","layer":4},{"info":"compute unary expreesion, input=2718, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=5219","layer":4},{"info":"number node, value=6094","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=6094, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-2597","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2597, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪫⨮⊛(↹⩛30553⪇≇⋚↹⩛34205⫦⪉↹⩛14551⊬⨰↹⩛10220))⪨≂(≑⋹↹⩛42251)⊬⨰(⇋⊎⋝↹⩛20330)⫸⊐(↹⩛40055⇂≾⫗↹⩛44114⫲⨊)=NaN","reverse_text":"NaN=(⪫⨮⊛(↹⩛30553⪇≇⋚↹⩛34205⫦⪉↹⩛14551⊬⨰↹⩛10220))⪨≂(≑⋹↹⩛42251)⊬⨰(⇋⊎⋝↹⩛20330)⫸⊐(↹⩛40055⇂≾⫗↹⩛44114⫲⨊)","cot":[{"info":"↹⩛30553⪇≇⋚↹⩛34205=↹⩛0","layer":3},{"info":"↹⩛14551⊬⨰↹⩛10220=↹⩛51351","layer":3},{"info":"↹⩛0⫦⪉↹⩛51351=↹⩛34404","layer":2},{"info":"⪫⨮⊛↹⩛34404=NaN","layer":1},{"info":"≑⋹↹⩛42251=↹⩛11350","layer":3},{"info":"⇋⊎⋝↹⩛20330=NaN","layer":3},{"info":"↹⩛11350⊬⨰NaN=NaN","layer":2},{"info":"↹⩛40055⇂≾⫗↹⩛44114=↹⩛-3044","layer":3},{"info":"↹⩛-3044⫲⨊=↹⩛-20005","layer":2},{"info":"NaN⫸⊐↹⩛-20005=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]} +{"id":951,"expression_no_base_symbol":"(((⇘$4307$)≓∲$1343$↞⋁$1043$)⩷∴($1034$≹⇙⪍$3098$⊨($1088$⩨$9248$)))≦≮≮","expression":"(((⇘↹⩛31535)≓∲↹⩛10115↞⋁↹⩛4455)⩷∴(↹⩛4442≹⇙⪍↹⩛22202⊨(↹⩛5012⩨↹⩛110452)))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8905,"operation_count":8,"complexity_ratio":1113.125,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4307,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1343,"base":6},"right_expr":{"type":"numeric_atoms","value":1043,"base":6}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1034,"base":6},"right_expr":{"type":"numeric_atoms","value":3098,"base":6}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1088,"base":6},"right_expr":{"type":"numeric_atoms","value":9248,"base":6}}}}},"used_operators":["D4vGDi5EA2","9FxExcQeMw","s1XTVnmDOJ","MGuIdZPyUC","RqrPlJkxDo","vg4gO5BX6G","AHs5Up7iyr","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4307","layer":4},{"info":"compute unary expreesion, input=4307, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=252802","layer":3},{"info":"number node, value=1343","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=1043, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=252802, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3098, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=9248","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=9248, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-24","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆���)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((⇘↹⩛31535)≓∲↹⩛10115↞⋁↹⩛4455)⩷∴(↹⩛4442≹⇙⪍↹⩛22202⊨(↹⩛5012⩨↹⩛110452)))≦≮≮=NaN","reverse_text":"NaN=(((⇘↹⩛31535)≓∲↹⩛10115↞⋁↹⩛4455)⩷∴(↹⩛4442≹⇙⪍↹⩛22202⊨(↹⩛5012⩨↹⩛110452)))≦≮≮","cot":[{"info":"⇘↹⩛31535=↹⩛5230214","layer":3},{"info":"↹⩛10115↞⋁↹⩛4455=NaN","layer":3},{"info":"↹⩛5230214≓∲NaN=NaN","layer":2},{"info":"↹⩛4442≹⇙⪍↹⩛22202=NaN","layer":3},{"info":"↹⩛5012⩨↹⩛110452=↹⩛-40","layer":3},{"info":"NaN⊨↹⩛-40=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]} +{"id":952,"expression_no_base_symbol":"((≸($4553$⇌⫙⪟$6400$))↙(⪝⪂⫅(⨂⪏⇭$2155$)))∝(($1046$⪗)⪔($3640$⋥≓≎$2369$))↓($4361$⩷∴$2240$)⋹⋡⊁($2298$⊔$3983$)","expression":"((≸(↹⩛33025⇌⫙⪟↹⩛45344))↙(⪝⪂⫅(⨂⪏⇭↹⩛13551)))∝((↹⩛4502⪗)⪔(↹⩛24504⋥≓≎↹⩛14545))↓(↹⩛32105⩷∴↹⩛14212)⋹⋡⊁(↹⩛14350⊔↹⩛30235)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1191848,"operation_count":13,"complexity_ratio":91680.61538461539,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4553,"base":6},"right_expr":{"type":"numeric_atoms","value":6400,"base":6}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2155,"base":6}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1046,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3640,"base":6},"right_expr":{"type":"numeric_atoms","value":2369,"base":6}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4361,"base":6},"right_expr":{"type":"numeric_atoms","value":2240,"base":6}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2298,"base":6},"right_expr":{"type":"numeric_atoms","value":3983,"base":6}}}}},"used_operators":["cTDWOvIxvz","yyfyN0ffXY","eOf03JbCpp","AFVx7xoS7T","XTarYq4gQB","AYdpE9sXAk","Af076pWI7l","GjBEYRfMaF","VEQNXA0ZBg","Qy55tPpLXF","As8RqfVLgs","9FxExcQeMw","E4l6HwMY31"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","8w2t5hMYqp","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛123504335","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4553","layer":4},{"info":"number node, value=6400","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=6400, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":2},{"info":"number node, value=2155","layer":4},{"info":"compute unary expreesion, input=2155, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5486","layer":3},{"info":"compute unary expreesion, input=5486, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-806442","layer":2},{"info":"compute binary expreesion, left_input=351, right_input=-806442, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=2419326","layer":1},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3640","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2369, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1131","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1131, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=4361","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=2240, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4210","layer":3},{"info":"number node, value=2298","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=3983, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=22111","layer":3},{"info":"compute binary expreesion, left_input=4210, right_input=22111, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=22861","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22861, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=2419326, right_input=-134, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2419331","layer":0}],"base":6,"result_base":6,"text":"((≸(↹⩛33025⇌⫙⪟↹⩛45344))↙(⪝⪂⫅(⨂⪏⇭↹⩛13551)))∝((↹⩛4502⪗)⪔(↹⩛24504⋥≓≎↹⩛14545))↓(↹⩛32105⩷∴↹⩛14212)⋹⋡⊁(↹⩛14350⊔↹⩛30235)=↹⩛123504335","reverse_text":"↹⩛123504335=((≸(↹⩛33025⇌⫙⪟↹⩛45344))↙(⪝⪂⫅(⨂⪏⇭↹⩛13551)))∝((↹⩛4502⪗)⪔(↹⩛24504⋥≓≎↹⩛14545))↓(↹⩛32105⩷∴↹⩛14212)⋹⋡⊁(↹⩛14350⊔↹⩛30235)","cot":[{"info":"↹⩛33025⇌⫙⪟↹⩛45344=↹⩛305","layer":3},{"info":"≸↹⩛305=↹⩛1343","layer":2},{"info":"⨂⪏⇭↹⩛13551=↹⩛41222","layer":3},{"info":"⪝⪂⫅↹⩛41222=↹⩛-25141310","layer":2},{"info":"↹⩛1343↙↹⩛-25141310=↹⩛123504330","layer":1},{"info":"↹⩛4502⪗=NaN","layer":3},{"info":"↹⩛24504⋥≓≎↹⩛14545=↹⩛5123","layer":3},{"info":"NaN⪔↹⩛5123=NaN","layer":2},{"info":"↹⩛32105⩷∴↹⩛14212=↹⩛31254","layer":3},{"info":"↹⩛14350⊔↹⩛30235=↹⩛250211","layer":3},{"info":"↹⩛31254⋹⋡⊁↹⩛250211=↹⩛253501","layer":2},{"info":"NaN↓↹⩛253501=↹⩛-342","layer":1},{"info":"↹⩛123504330∝↹⩛-342=↹⩛123504335","layer":0}]} +{"id":953,"expression_no_base_symbol":"(⫓⪴($2624$⇟⨁⪰)⨂≜($1330$↼⊘⨖$1603$))⨿($1370$⪎↠$1848$⫢⨠$4991$≨$3948$⪥⨬⪅)","expression":"(⫓⪴(↹⩛20052⇟⨁⪰)⨂≜(↹⩛10054↼⊘⨖↹⩛11231))⨿(↹⩛10202⪎↠↹⩛12320⫢⨠↹⩛35035≨↹⩛30140⪥⨬⪅)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3306,"operation_count":9,"complexity_ratio":367.3333333333333,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":2624,"base":6}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1330,"base":6},"right_expr":{"type":"numeric_atoms","value":1603,"base":6}}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1370,"base":6},"right_expr":{"type":"numeric_atoms","value":1848,"base":6}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4991,"base":6},"right_expr":{"type":"numeric_atoms","value":3948,"base":6}}}}},"used_operators":["abYXlopdE0","eLxqMNBOBk","k1SHOSEABc","BX1lVwlMe0","bPywburJMS","zNRQejTB5A","xlXykHWxX1","3tVxb0NHM4","0KMCeP1Jsh"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9HNa5Wba9A","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2624","layer":4},{"info":"compute unary expreesion, input=2624, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-2798","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1603, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2984","layer":3},{"info":"compute binary expreesion, left_input=-2798, right_input=2984, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=1370","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=1848, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=4991","layer":4},{"info":"number node, value=3948","layer":4},{"info":"compute binary expreesion, left_input=4991, right_input=3948, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-47434","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-47434, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=376922","layer":2},{"info":"compute unary expreesion, input=376922, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(⫓⪴(↹⩛20052⇟⨁⪰)⨂≜(↹⩛10054↼⊘⨖↹⩛11231))⨿(↹⩛10202⪎↠↹⩛12320⫢⨠↹⩛35035≨↹⩛30140⪥⨬⪅)=↹⩛151","reverse_text":"↹⩛151=(⫓⪴(↹⩛20052⇟⨁⪰)⨂≜(↹⩛10054↼⊘⨖↹⩛11231))⨿(↹⩛10202⪎↠↹⩛12320⫢⨠↹⩛35035≨↹⩛30140⪥⨬⪅)","cot":[{"info":"↹⩛20052⇟⨁⪰=↹⩛-20542","layer":3},{"info":"↹⩛10054↼⊘⨖↹⩛11231=↹⩛21452","layer":3},{"info":"↹⩛-20542⨂≜↹⩛21452=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"↹⩛10202⪎↠↹⩛12320=↹⩛424","layer":3},{"info":"↹⩛35035≨↹⩛30140=↹⩛-1003334","layer":3},{"info":"↹⩛424⫢⨠↹⩛-1003334=↹⩛12025002","layer":2},{"info":"↹⩛12025002⪥⨬⪅=↹⩛-2105","layer":1},{"info":"NaN⨿↹⩛-2105=↹⩛151","layer":0}]} +{"id":954,"expression_no_base_symbol":"(⪭⩑⪱(($1945$⫁$2287$)⊧↖))∷((↔$2843$)⪄(∡$1928$))∠⫱$2710$⋥⋵⩄$1430$⊨($6885$⪨⊡$5442$)","expression":"(⪭⩑⪱((↹⩛13001⫁↹⩛14331)⊧↖))∷((↔↹⩛21055)⪄(∡↹⩛12532))∠⫱↹⩛20314⋥⋵⩄↹⩛10342⊨(↹⩛51513⪨⊡↹⩛41110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5359638,"operation_count":11,"complexity_ratio":487239.8181818182,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1945,"base":6},"right_expr":{"type":"numeric_atoms","value":2287,"base":6}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2843,"base":6}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1928,"base":6}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2710,"base":6},"right_expr":{"type":"numeric_atoms","value":1430,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":6885,"base":6},"right_expr":{"type":"numeric_atoms","value":5442,"base":6}}}}},"used_operators":["D3AQDKkPcf","SIgE0bArFf","EKiFHuOFxO","0ajvFaJAv0","QvoQhV0rrE","SUmda5xLS4","ruOEQAzv1W","pRsWfj4Fpp","vg4gO5BX6G","7t3wd0Fuz7","kuIXHzHcAH"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛31121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1945","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=2287, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=151688","layer":2},{"info":"compute unary expreesion, input=151688, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=2843","layer":4},{"info":"compute unary expreesion, input=2843, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2570","layer":3},{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1928","layer":3},{"info":"compute binary expreesion, left_input=-2570, right_input=-1928, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=2710","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=1430, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=6885","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=5442, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-174, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=4153","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=4153, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4153","layer":0}],"base":6,"result_base":6,"text":"(⪭⩑⪱((↹⩛13001⫁↹⩛14331)⊧↖))∷((↔↹⩛21055)⪄(∡↹⩛12532))∠⫱↹⩛20314⋥⋵⩄↹⩛10342⊨(↹⩛51513⪨⊡↹⩛41110)=↹⩛31121","reverse_text":"↹⩛31121=(⪭⩑⪱((↹⩛13001⫁↹⩛14331)⊧↖))∷((↔↹⩛21055)⪄(∡↹⩛12532))∠⫱↹⩛20314⋥⋵⩄↹⩛10342⊨(↹⩛51513⪨⊡↹⩛41110)","cot":[{"info":"↹⩛13001⫁↹⩛14331=↹⩛424","layer":3},{"info":"↹⩛424⊧↖=↹⩛3130132","layer":2},{"info":"⪭⩑⪱↹⩛3130132=↹⩛454202000","layer":1},{"info":"↔↹⩛21055=↹⩛-15522","layer":3},{"info":"∡↹⩛12532=↹⩛-12532","layer":3},{"info":"↹⩛-15522⪄↹⩛-12532=↹⩛30231","layer":2},{"info":"↹⩛20314⋥⋵⩄↹⩛10342=↹⩛305","layer":3},{"info":"↹⩛51513⪨⊡↹⩛41110=↹⩛0","layer":3},{"info":"↹⩛305⊨↹⩛0=↹⩛-450","layer":2},{"info":"↹⩛30231∠⫱↹⩛-450=↹⩛31121","layer":1},{"info":"↹⩛454202000∷↹⩛31121=↹⩛31121","layer":0}]} +{"id":955,"expression_no_base_symbol":"((⪸$5123$)≧⫂∧($3281$⫦⪉$1824$))⪎↠(($1272$⊝)⩒⫫$3905$⨜⨶$5895$)⨻⩈⩔((⪫⨮⊛$5959$)⋥⋵⩄(⨝⨆$1000$))⨸(∐⩳⋚($1526$≳⇉$1605$))","expression":"((⪸↹⩛35415)≧⫂∧(↹⩛23105⫦⪉↹⩛12240))⪎↠((↹⩛5520⊝)⩒⫫↹⩛30025⨜⨶↹⩛43143)⨻⩈⩔((⪫⨮⊛↹⩛43331)⋥⋵⩄(⨝⨆↹⩛4344))⨸(∐⩳⋚(↹⩛11022≳⇉↹⩛11233))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51856540,"operation_count":14,"complexity_ratio":3704038.5714285714,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":5123,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3281,"base":6},"right_expr":{"type":"numeric_atoms","value":1824,"base":6}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1272,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3905,"base":6},"right_expr":{"type":"numeric_atoms","value":5895,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5959,"base":6}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1000,"base":6}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1526,"base":6},"right_expr":{"type":"numeric_atoms","value":1605,"base":6}}}}},"used_operators":["nEsXyWgiOK","3tVxb0NHM4","Ph9nP6C5qx","86A5ENbKR9","wscyQdcy20","KFSx94NKJn","O6EZ0fifGK","HiPekx5b7W","KmoU8R5UQR","7t3wd0Fuz7","w5FWba1tyO","bQ67fsrMVf","SL6IHkK8vl","V0kx6qeWkN"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","tifHPKVTfV","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5123","layer":4},{"info":"compute unary expreesion, input=5123, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-86882","layer":3},{"info":"number node, value=3281","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=1824, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1662","layer":3},{"info":"compute binary expreesion, left_input=-86882, right_input=-1662, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-85220","layer":2},{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1272","layer":3},{"info":"number node, value=3905","layer":4},{"info":"number node, value=5895","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=5895, 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=-11534","layer":3},{"info":"compute binary expreesion, left_input=1272, right_input=-11534, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=970","layer":2},{"info":"compute binary expreesion, left_input=-85220, right_input=970, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"number node, value=5959","layer":4},{"info":"compute unary expreesion, input=5959, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=791","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=791, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1605, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((⪸↹⩛35415)≧⫂∧(↹⩛23105⫦⪉↹⩛12240))⪎↠((↹⩛5520⊝)⩒⫫↹⩛30025⨜⨶↹⩛43143)⨻⩈⩔((⪫⨮⊛↹⩛43331)⋥⋵⩄(⨝⨆↹⩛4344))⨸(∐⩳⋚(↹⩛11022≳⇉↹⩛11233))=NaN","reverse_text":"NaN=((⪸↹⩛35415)≧⫂∧(↹⩛23105⫦⪉↹⩛12240))⪎↠((↹⩛5520⊝)⩒⫫↹⩛30025⨜⨶↹⩛43143)⨻⩈⩔((⪫⨮⊛↹⩛43331)⋥⋵⩄(⨝⨆↹⩛4344))⨸(∐⩳⋚(↹⩛11022≳⇉↹⩛11233))","cot":[{"info":"⪸↹⩛35415=↹⩛-1510122","layer":3},{"info":"↹⩛23105⫦⪉↹⩛12240=↹⩛-11410","layer":3},{"info":"↹⩛-1510122≧⫂∧↹⩛-11410=↹⩛-1454312","layer":2},{"info":"↹⩛5520⊝=↹⩛5520","layer":3},{"info":"↹⩛30025⨜⨶↹⩛43143=↹⩛-125222","layer":3},{"info":"↹⩛5520⩒⫫↹⩛-125222=↹⩛4254","layer":2},{"info":"↹⩛-1454312⪎↠↹⩛4254=↹⩛-131","layer":1},{"info":"⪫⨮⊛↹⩛43331=NaN","layer":3},{"info":"⨝⨆↹⩛4344=↹⩛3355","layer":3},{"info":"NaN⋥⋵⩄↹⩛3355=NaN","layer":2},{"info":"↹⩛11022≳⇉↹⩛11233=NaN","layer":3},{"info":"∐⩳⋚NaN=NaN","layer":2},{"info":"NaN⨸NaN=NaN","layer":1},{"info":"↹⩛-131⨻⩈⩔NaN=NaN","layer":0}]} +{"id":956,"expression_no_base_symbol":"($2651$⪚$5096$⋛($1707$⇣⩺⋵$2470$))⫘(⪸$2219$≴⪞⇿$2201$)⊎←↗","expression":"(↹⩛20135⪚↹⩛35332⋛(↹⩛11523⇣⩺⋵↹⩛15234))⫘(⪸↹⩛14135≴⪞⇿↹⩛14105)⊎←↗","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2508,"operation_count":7,"complexity_ratio":358.2857142857143,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2651,"base":6},"right_expr":{"type":"numeric_atoms","value":5096,"base":6}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1707,"base":6},"right_expr":{"type":"numeric_atoms","value":2470,"base":6}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2219,"base":6},"right_expr":{"type":"numeric_atoms","value":2201,"base":6}}}}},"used_operators":["dwb5p0fa6d","48vC8HMD2b","YbUVn0Rbpy","HrjLwUk87U","F4yD0voBRQ","86A5ENbKR9","lvlrscuwVU"],"dependent_operators":["sdazOOVcIp","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛-11043125","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2651","layer":4},{"info":"number node, value=5096","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=5096, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5246","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=2470, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-5246, right_input=-260, 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=-135","layer":2},{"info":"number node, value=2219","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=2201, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=7574066","layer":3},{"info":"compute unary expreesion, input=7574066, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-128758913","layer":2},{"info":"compute binary expreesion, left_input=-135, right_input=-128758913, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=166581","layer":1},{"info":"compute unary expreesion, input=166581, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-332477","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20135⪚↹⩛35332⋛(↹⩛11523⇣⩺⋵↹⩛15234))⫘(⪸↹⩛14135≴⪞⇿↹⩛14105)⊎←↗=↹⩛-11043125","reverse_text":"↹⩛-11043125=(↹⩛20135⪚↹⩛35332⋛(↹⩛11523⇣⩺⋵↹⩛15234))⫘(⪸↹⩛14135≴⪞⇿↹⩛14105)⊎←↗","cot":[{"info":"↹⩛20135⪚↹⩛35332=↹⩛-40142","layer":3},{"info":"↹⩛11523⇣⩺⋵↹⩛15234=↹⩛-1112","layer":3},{"info":"↹⩛-40142⋛↹⩛-1112=↹⩛-343","layer":2},{"info":"↹⩛14135≴⪞⇿↹⩛14105=↹⩛430201042","layer":3},{"info":"⪸↹⩛430201042=↹⩛-20435430025","layer":2},{"info":"↹⩛-343⫘↹⩛-20435430025=↹⩛3323113","layer":1},{"info":"↹⩛3323113⊎←↗=↹⩛-11043125","layer":0}]} +{"id":957,"expression_no_base_symbol":"($1422$⫸⊐$7758$)∛($1757$≚⋢)⫒⫫((⩦⊞$6551$)⊭↱($5520$⪨≂$4041$))+⇶⊼($2454$⊱⇼⊻$7800$→⨶⪴($8135$⩇∃⫛$3108$)⩭)","expression":"(↹⩛10330⫸⊐↹⩛55530)∛(↹⩛12045≚⋢)⫒⫫((⩦⊞↹⩛50155)⊭↱(↹⩛41320⪨≂↹⩛30413))+⇶⊼(↹⩛15210⊱⇼⊻↹⩛100040→⨶⪴(↹⩛101355⩇∃⫛↹⩛22220)⩭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17952,"operation_count":12,"complexity_ratio":1496.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1422,"base":6},"right_expr":{"type":"numeric_atoms","value":7758,"base":6}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1757,"base":6}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":6551,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5520,"base":6},"right_expr":{"type":"numeric_atoms","value":4041,"base":6}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2454,"base":6},"right_expr":{"type":"numeric_atoms","value":7800,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":8135,"base":6},"right_expr":{"type":"numeric_atoms","value":3108,"base":6}}}}},"used_operators":["TpPTUOHfaN","6Ko8hGgeMq","w2537kitQq","mqXw5SEYmG","MahUMFw56D","COABgblf1C","u7fv1HBiaC","sdazOOVcIp","yIPP7u6H5x","bF6eod5Gvf","FyVja0WsTP","1aApVXNlOP"],"dependent_operators":["AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1422","layer":4},{"info":"number node, value=7758","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=7758, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30907","layer":3},{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=30907, right_input=-89, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=6551","layer":4},{"info":"compute unary expreesion, input=6551, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6278","layer":3},{"info":"number node, value=5520","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=4041, 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=3060","layer":3},{"info":"compute binary expreesion, left_input=-6278, right_input=3060, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=18681","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=18681, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":1},{"info":"number node, value=2454","layer":4},{"info":"number node, value=7800","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=7800, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=8135","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=8135, right_input=3108, 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=-4554","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-4554, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=9944","layer":2},{"info":"compute unary expreesion, input=9944, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10330⫸⊐↹⩛55530)∛(↹⩛12045≚⋢)⫒⫫((⩦⊞↹⩛50155)⊭↱(↹⩛41320⪨≂↹⩛30413))+⇶⊼(↹⩛15210⊱⇼⊻↹⩛100040→⨶⪴(↹⩛101355⩇∃⫛↹⩛22220)⩭)=NaN","reverse_text":"NaN=(↹⩛10330⫸⊐↹⩛55530)∛(↹⩛12045≚⋢)⫒⫫((⩦⊞↹⩛50155)⊭↱(↹⩛41320⪨≂↹⩛30413))+⇶⊼(↹⩛15210⊱⇼⊻↹⩛100040→⨶⪴(↹⩛101355⩇∃⫛↹⩛22220)⩭)","cot":[{"info":"↹⩛10330⫸⊐↹⩛55530=↹⩛355031","layer":3},{"info":"↹⩛12045≚⋢=↹⩛-225","layer":3},{"info":"↹⩛355031∛↹⩛-225=↹⩛151","layer":2},{"info":"⩦⊞↹⩛50155=↹⩛-45022","layer":3},{"info":"↹⩛41320⪨≂↹⩛30413=↹⩛22100","layer":3},{"info":"↹⩛-45022⊭↱↹⩛22100=↹⩛222253","layer":2},{"info":"↹⩛151⫒⫫↹⩛222253=↹⩛305","layer":1},{"info":"↹⩛15210⊱⇼⊻↹⩛100040=↹⩛2002","layer":3},{"info":"↹⩛101355⩇∃⫛↹⩛22220=↹⩛-33030","layer":3},{"info":"↹⩛2002→⨶⪴↹⩛-33030=↹⩛114012","layer":2},{"info":"↹⩛114012⩭=NaN","layer":1},{"info":"↹⩛305+⇶⊼NaN=NaN","layer":0}]} +{"id":958,"expression_no_base_symbol":"(($2180$⪨≂$2901$)∋($1402$⪎⩰)⇄(↸⊣(⪨⨬$1416$)))⇂≾⫗(((∂$4914$)⋅⇍(⋼∭⪍$1305$))⨓(→⩰(⩦⩻⨪$2606$)))","expression":"((↹⩛14032⪨≂↹⩛21233)∋(↹⩛10254⪎⩰)⇄(↸⊣(⪨⨬↹⩛10320)))⇂≾⫗(((∂↹⩛34430)⋅⇍(⋼∭⪍↹⩛10013))⨓(→⩰(⩦⩻⨪↹⩛20022)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3199,"operation_count":13,"complexity_ratio":246.07692307692307,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2180,"base":6},"right_expr":{"type":"numeric_atoms","value":2901,"base":6}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1402,"base":6}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1416,"base":6}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4914,"base":6}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1305,"base":6}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2606,"base":6}}}}},"used_operators":["aBQ6xLxuTc","3EYGwJThht","ukq6epAj5P","sdazOOVcIp","2ufhKmSs5H","wztAlM01eG","5obUd6DV38","3ViojmjbAp","AdZkA7nFnk","Uaa54Peajs","DbCuESL50I","o8Pngz0Tml","2td37pGCOC"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","T2fj7uvVaJ","nlCqmYiOvY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2180","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=2901, 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=-1340","layer":3},{"info":"number node, value=1402","layer":4},{"info":"compute unary expreesion, input=1402, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=-1340, right_input=-34, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-49264","layer":2},{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=1052","layer":2},{"info":"compute binary expreesion, left_input=-49264, right_input=1052, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-568","layer":1},{"info":"number node, value=4914","layer":4},{"info":"compute unary expreesion, input=4914, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3480, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":2},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2606","layer":3},{"info":"compute unary expreesion, input=2606, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-568, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14032⪨≂↹⩛21233)∋(↹⩛10254⪎⩰)⇄(↸⊣(⪨⨬↹⩛10320)))⇂≾⫗(((∂↹⩛34430)⋅⇍(⋼∭⪍↹⩛10013))⨓(→⩰(⩦⩻⨪↹⩛20022)))=NaN","reverse_text":"NaN=((↹⩛14032⪨≂↹⩛21233)∋(↹⩛10254⪎⩰)⇄(↸⊣(⪨⨬↹⩛10320)))⇂≾⫗(((∂↹⩛34430)⋅⇍(⋼∭⪍↹⩛10013))⨓(→⩰(⩦⩻⨪↹⩛20022)))","cot":[{"info":"↹⩛14032⪨≂↹⩛21233=↹⩛-10112","layer":3},{"info":"↹⩛10254⪎⩰=↹⩛-54","layer":3},{"info":"↹⩛-10112∋↹⩛-54=↹⩛-1020024","layer":2},{"info":"⪨⨬↹⩛10320=↹⩛-2234","layer":3},{"info":"↸⊣↹⩛-2234=↹⩛4512","layer":2},{"info":"↹⩛-1020024⇄↹⩛4512=↹⩛-2344","layer":1},{"info":"∂↹⩛34430=NaN","layer":3},{"info":"⋼∭⪍↹⩛10013=↹⩛-24040","layer":3},{"info":"NaN⋅⇍↹⩛-24040=NaN","layer":2},{"info":"⩦⩻⨪↹⩛20022=↹⩛20022","layer":3},{"info":"→⩰↹⩛20022=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"↹⩛-2344⇂≾⫗NaN=NaN","layer":0}]} +{"id":959,"expression_no_base_symbol":"(($6649$≨$2439$≬⇓(⩪∧⨌$7563$))⨐⩸⫘(⊥($1279$≬⋮$2424$)))⪶≀⋏((≑⋹($5766$⊉≛↸$1525$))⫸⇳(($5811$⊓⋫)⫸⊐($3459$⪨≂$2501$)))","expression":"((↹⩛50441≨↹⩛15143≬⇓(⩪∧⨌↹⩛55003))⨐⩸⫘(⊥(↹⩛5531≬⋮↹⩛15120)))⪶≀⋏((≑⋹(↹⩛42410⊉≛↸↹⩛11021))⫸⇳((↹⩛42523⊓⋫)⫸⊐(↹⩛24003⪨≂↹⩛15325)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1714962,"operation_count":13,"complexity_ratio":131920.15384615384,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6649,"base":6},"right_expr":{"type":"numeric_atoms","value":2439,"base":6}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":7563,"base":6}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1279,"base":6},"right_expr":{"type":"numeric_atoms","value":2424,"base":6}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5766,"base":6},"right_expr":{"type":"numeric_atoms","value":1525,"base":6}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":5811,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3459,"base":6},"right_expr":{"type":"numeric_atoms","value":2501,"base":6}}}}},"used_operators":["zR4jO40bMj","fu6greOZ01","jWTQ2TZYIH","0KMCeP1Jsh","6iOiAJX1F8","Q3PJZHRvZv","kbkesczE7y","gx7XJ7hdpj","6B9nyZLogK","DZ8iAZOCBD","mqXw5SEYmG","IqGBaFP0uj","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","3ViojmjbAp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","fu6greOZ01","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-21114","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6649","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=6649, right_input=2439, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-64014","layer":3},{"info":"number node, value=7563","layer":4},{"info":"compute unary expreesion, input=7563, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=75630","layer":3},{"info":"compute binary expreesion, left_input=-64014, right_input=75630, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"number node, value=1279","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=2424, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-871","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-871, 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=874","layer":1},{"info":"number node, value=5766","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=5766, right_input=1525, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11532","layer":3},{"info":"compute unary expreesion, input=11532, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"number node, value=5811","layer":4},{"info":"compute unary expreesion, input=5811, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-5939","layer":3},{"info":"number node, value=3459","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=2501, 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=2018","layer":3},{"info":"compute binary expreesion, left_input=-5939, right_input=2018, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=968, 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=874, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-2854","layer":0}],"base":6,"result_base":6,"text":"((↹⩛50441≨↹⩛15143≬⇓(⩪∧⨌↹⩛55003))⨐⩸⫘(⊥(↹⩛5531≬⋮↹⩛15120)))⪶≀⋏((≑⋹(↹⩛42410⊉≛↸↹⩛11021))⫸⇳((↹⩛42523⊓⋫)⫸⊐(↹⩛24003⪨≂↹⩛15325)))=↹⩛-21114","reverse_text":"↹⩛-21114=((↹⩛50441≨↹⩛15143≬⇓(⩪∧⨌↹⩛55003))⨐⩸⫘(⊥(↹⩛5531≬⋮↹⩛15120)))⪶≀⋏((≑⋹(↹⩛42410⊉≛↸↹⩛11021))⫸⇳((↹⩛42523⊓⋫)⫸⊐(↹⩛24003⪨≂↹⩛15325)))","cot":[{"info":"↹⩛50441≨↹⩛15143=↹⩛-1212210","layer":3},{"info":"⩪∧⨌↹⩛55003=↹⩛1342050","layer":3},{"info":"↹⩛-1212210≬⇓↹⩛1342050=Inf","layer":2},{"info":"↹⩛5531≬⋮↹⩛15120=↹⩛4004","layer":3},{"info":"⊥↹⩛4004=↹⩛-4011","layer":2},{"info":"Inf⨐⩸⫘↹⩛-4011=↹⩛4014","layer":1},{"info":"↹⩛42410⊉≛↸↹⩛11021=↹⩛125220","layer":3},{"info":"≑⋹↹⩛125220=↹⩛11350","layer":2},{"info":"↹⩛42523⊓⋫=↹⩛-43255","layer":3},{"info":"↹⩛24003⪨≂↹⩛15325=↹⩛13202","layer":3},{"info":"↹⩛-43255⫸⊐↹⩛13202=↹⩛4252","layer":2},{"info":"↹⩛11350⫸⇳↹⩛4252=↹⩛0","layer":1},{"info":"↹⩛4014⪶≀⋏↹⩛0=↹⩛-21114","layer":0}]} +{"id":960,"expression_no_base_symbol":"(⪭⩑⪱(($1828$⪶≀⋏$4104$)↦))⪚(($3723$⇍⊗$2485$)⫁⪎(⨛$2028$))∳⫺(≸≮($2591$⨽$6351$))","expression":"(⪭⩑⪱((↹⩛12244⪶≀⋏↹⩛31000)↦))⪚((↹⩛25123⇍⊗↹⩛15301)⫁⪎(⨛↹⩛13220))∳⫺(≸≮(↹⩛15555⨽↹⩛45223))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10482,"operation_count":10,"complexity_ratio":1048.2,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1828,"base":6},"right_expr":{"type":"numeric_atoms","value":4104,"base":6}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3723,"base":6},"right_expr":{"type":"numeric_atoms","value":2485,"base":6}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2028,"base":6}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2591,"base":6},"right_expr":{"type":"numeric_atoms","value":6351,"base":6}}}}},"used_operators":["HrjLwUk87U","SIgE0bArFf","fFznvYxMfW","zR4jO40bMj","AzXXKTstlj","xRrnTEsQ6j","5uvYHDjeKN","CoMdbyAt7R","AljMvE3RRm","8HhzD0ZcuI"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛1352404432","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1828","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=4104, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13924","layer":3},{"info":"compute unary expreesion, input=-13924, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-348","layer":2},{"info":"compute unary expreesion, input=-348, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=3723","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=3723, right_input=2485, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"number node, value=2591","layer":4},{"info":"number node, value=6351","layer":4},{"info":"compute binary expreesion, left_input=2591, right_input=6351, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20157582","layer":3},{"info":"compute unary expreesion, input=-20157582, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=302364513","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=302364513, 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=8320752, right_input=-260, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=16641668","layer":0}],"base":6,"result_base":6,"text":"(⪭⩑⪱((↹⩛12244⪶≀⋏↹⩛31000)↦))⪚((↹⩛25123⇍⊗↹⩛15301)⫁⪎(⨛↹⩛13220))∳⫺(≸≮(↹⩛15555⨽↹⩛45223))=↹⩛1352404432","reverse_text":"↹⩛1352404432=(⪭⩑⪱((↹⩛12244⪶≀⋏↹⩛31000)↦))⪚((↹⩛25123⇍⊗↹⩛15301)⫁⪎(⨛↹⩛13220))∳⫺(≸≮(↹⩛15555⨽↹⩛45223))","cot":[{"info":"↹⩛12244⪶≀⋏↹⩛31000=↹⩛-144244","layer":3},{"info":"↹⩛-144244↦=↹⩛-1340","layer":2},{"info":"⪭⩑⪱↹⩛-1340=↹⩛454202000","layer":1},{"info":"↹⩛25123⇍⊗↹⩛15301=↹⩛-1044","layer":3},{"info":"⨛↹⩛13220=NaN","layer":3},{"info":"↹⩛-1044⫁⪎NaN=NaN","layer":2},{"info":"↹⩛15555⨽↹⩛45223=↹⩛-2000014050","layer":3},{"info":"≸≮↹⩛-2000014050=↹⩛50000415413","layer":2},{"info":"NaN∳⫺↹⩛50000415413=↹⩛-1112","layer":1},{"info":"↹⩛454202000⪚↹⩛-1112=↹⩛1352404432","layer":0}]} +{"id":961,"expression_no_base_symbol":"($1355$⊬⨰$2110$⊔($2299$⩵∡$3096$)≭$6857$⊴$8387$⩷∴($2660$⋳⪒$4803$))⊢((⨈⪑$1008$)∣($1615$⊨$1757$))⇂≾⫗($3632$⨂≜$3436$⪪($3823$*$3422$))","expression":"(↹⩛10135⊬⨰↹⩛13434⊔(↹⩛14351⩵∡↹⩛22200)≭↹⩛51425⊴↹⩛102455⩷∴(↹⩛20152⋳⪒↹⩛34123))⊢((⨈⪑↹⩛4400)∣(↹⩛11251⊨↹⩛12045))⇂≾⫗(↹⩛24452⨂≜↹⩛23524⪪(↹⩛25411*↹⩛23502))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15778,"operation_count":15,"complexity_ratio":1051.8666666666666,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1355,"base":6},"right_expr":{"type":"numeric_atoms","value":2110,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2299,"base":6},"right_expr":{"type":"numeric_atoms","value":3096,"base":6}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6857,"base":6},"right_expr":{"type":"numeric_atoms","value":8387,"base":6}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2660,"base":6},"right_expr":{"type":"numeric_atoms","value":4803,"base":6}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1008,"base":6}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1615,"base":6},"right_expr":{"type":"numeric_atoms","value":1757,"base":6}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3632,"base":6},"right_expr":{"type":"numeric_atoms","value":3436,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3823,"base":6},"right_expr":{"type":"numeric_atoms","value":3422,"base":6}}}}},"used_operators":["5twsqlHp2o","rxpJgHHUmx","E4l6HwMY31","s3Fd5m9Dh2","Y7wcNGrDQJ","9FxExcQeMw","Nsiff2A1zJ","12rbrZMWeM","aBQ6xLxuTc","PPChnnnBFF","mp94q5OcYM","vg4gO5BX6G","xD69zh8xqp","k1SHOSEABc","9HNa5Wba9A"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","AHs5Up7iyr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=2110, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8739","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=3096, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1623","layer":3},{"info":"compute binary expreesion, left_input=8739, right_input=-1623, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=17443","layer":2},{"info":"number node, value=6857","layer":4},{"info":"number node, value=8387","layer":4},{"info":"compute binary expreesion, left_input=6857, right_input=8387, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2660","layer":4},{"info":"number node, value=4803","layer":4},{"info":"compute binary expreesion, left_input=2660, right_input=4803, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=230","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=230, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17443, 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":1},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1757, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7491","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=7491, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=868","layer":2},{"info":"number node, value=3632","layer":4},{"info":"number node, value=3436","layer":4},{"info":"compute binary expreesion, left_input=3632, right_input=3436, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3823","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=3422, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13082306","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13082306, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10135⊬⨰↹⩛13434⊔(↹⩛14351⩵∡↹⩛22200)≭↹⩛51425⊴↹⩛102455⩷∴(↹⩛20152⋳⪒↹⩛34123))⊢((⨈⪑↹⩛4400)∣(↹⩛11251⊨↹⩛12045))⇂≾⫗(↹⩛24452⨂≜↹⩛23524⪪(↹⩛25411*↹⩛23502))=NaN","reverse_text":"NaN=(↹⩛10135⊬⨰↹⩛13434⊔(↹⩛14351⩵∡↹⩛22200)≭↹⩛51425⊴↹⩛102455⩷∴(↹⩛20152⋳⪒↹⩛34123))⊢((⨈⪑↹⩛4400)∣(↹⩛11251⊨↹⩛12045))⇂≾⫗(↹⩛24452⨂≜↹⩛23524⪪(↹⩛25411*↹⩛23502))","cot":[{"info":"↹⩛10135⊬⨰↹⩛13434=↹⩛104243","layer":3},{"info":"↹⩛14351⩵∡↹⩛22200=↹⩛-11303","layer":3},{"info":"↹⩛104243⊔↹⩛-11303=↹⩛212431","layer":2},{"info":"↹⩛51425⊴↹⩛102455=NaN","layer":3},{"info":"↹⩛20152⋳⪒↹⩛34123=↹⩛1022","layer":3},{"info":"NaN⩷∴↹⩛1022=NaN","layer":2},{"info":"↹⩛212431≭NaN=NaN","layer":1},{"info":"⨈⪑↹⩛4400=↹⩛4004","layer":3},{"info":"↹⩛11251⊨↹⩛12045=↹⩛54403","layer":3},{"info":"↹⩛4004∣↹⩛54403=↹⩛4004","layer":2},{"info":"↹⩛24452⨂≜↹⩛23524=NaN","layer":3},{"info":"↹⩛25411*↹⩛23502=↹⩛1144222122","layer":3},{"info":"NaN⪪↹⩛1144222122=NaN","layer":2},{"info":"↹⩛4004⇂≾⫗NaN=NaN","layer":1},{"info":"NaN⊢NaN=NaN","layer":0}]} +{"id":962,"expression_no_base_symbol":"((≀↧⇸$1763$⨼⩣$3911$)⊢(($1012$⪇≇⋚$1418$)≧⫂∧($2523$⋭≵$5385$)))⫣⪄⊒($1442$≌$6183$⫁($8639$⨼⩣$5475$)⪉⨛($2737$≧⫂∧$3731$)↓$6025$⫗⊷⫓$1470$)","expression":"((≀↧⇸↹⩛12055⨼⩣↹⩛30035)⊢((↹⩛4404⪇≇⋚↹⩛10322)≧⫂∧(↹⩛15403⋭≵↹⩛40533)))⫣⪄⊒(↹⩛10402≌↹⩛44343⫁(↹⩛103555⨼⩣↹⩛41203)⪉⨛(↹⩛20401≧⫂∧↹⩛25135)↓↹⩛43521⫗⊷⫓↹⩛10450)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1150953,"operation_count":14,"complexity_ratio":82210.92857142857,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1763,"base":6},"right_expr":{"type":"numeric_atoms","value":3911,"base":6}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1012,"base":6},"right_expr":{"type":"numeric_atoms","value":1418,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2523,"base":6},"right_expr":{"type":"numeric_atoms","value":5385,"base":6}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1442,"base":6},"right_expr":{"type":"numeric_atoms","value":6183,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":8639,"base":6},"right_expr":{"type":"numeric_atoms","value":5475,"base":6}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2737,"base":6},"right_expr":{"type":"numeric_atoms","value":3731,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6025,"base":6},"right_expr":{"type":"numeric_atoms","value":1470,"base":6}}}}},"used_operators":["RabNbG55vr","5twsqlHp2o","ljTHtUsqzn","JxwMv5le6e","Ph9nP6C5qx","3sJ7IOPOlU","jBncVCNhdl","EWw2JM7wp4","0ajvFaJAv0","lyWz822IDG","Af076pWI7l","zashukvMKz"],"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","XPYlsWDdGa","23Mk6UjR3U","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","cHh1gJQ2o6","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=3911, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1418, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=5385","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=5385, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-406, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"number node, value=1442","layer":4},{"info":"number node, value=6183","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=6183, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=8639","layer":4},{"info":"number node, value=5475","layer":4},{"info":"compute binary expreesion, left_input=8639, right_input=5475, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=2737","layer":4},{"info":"number node, value=3731","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=3731, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3258","layer":3},{"info":"number node, value=6025","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=1470, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=3258, right_input=-134, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-134, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1097","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1097, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((≀↧⇸↹⩛12055⨼⩣↹⩛30035)⊢((↹⩛4404⪇≇⋚↹⩛10322)≧⫂∧(↹⩛15403⋭≵↹⩛40533)))⫣⪄⊒(↹⩛10402≌↹⩛44343⫁(↹⩛103555⨼⩣↹⩛41203)⪉⨛(↹⩛20401≧⫂∧↹⩛25135)↓↹⩛43521⫗⊷⫓↹⩛10450)=NaN","reverse_text":"NaN=((≀↧⇸↹⩛12055⨼⩣↹⩛30035)⊢((↹⩛4404⪇≇⋚↹⩛10322)≧⫂∧(↹⩛15403⋭≵↹⩛40533)))⫣⪄⊒(↹⩛10402≌↹⩛44343⫁(↹⩛103555⨼⩣↹⩛41203)⪉⨛(↹⩛20401≧⫂∧↹⩛25135)↓↹⩛43521⫗⊷⫓↹⩛10450)","cot":[{"info":"↹⩛12055⨼⩣↹⩛30035=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"↹⩛4404⪇≇⋚↹⩛10322=↹⩛0","layer":3},{"info":"↹⩛15403⋭≵↹⩛40533=↹⩛151","layer":3},{"info":"↹⩛0≧⫂∧↹⩛151=↹⩛-1514","layer":2},{"info":"NaN⊢↹⩛-1514=NaN","layer":1},{"info":"↹⩛10402≌↹⩛44343=NaN","layer":3},{"info":"↹⩛103555⨼⩣↹⩛41203=NaN","layer":3},{"info":"NaN⫁NaN=↹⩛424","layer":2},{"info":"↹⩛20401≧⫂∧↹⩛25135=↹⩛23030","layer":3},{"info":"↹⩛43521⫗⊷⫓↹⩛10450=↹⩛-342","layer":3},{"info":"↹⩛23030↓↹⩛-342=↹⩛-342","layer":2},{"info":"↹⩛424⪉⨛↹⩛-342=↹⩛5025","layer":1},{"info":"NaN⫣⪄⊒↹⩛5025=NaN","layer":0}]} +{"id":963,"expression_no_base_symbol":"⪛⨧(($4650$⫗⊷⫓$1299$⪄$1423$↼⊘⨖$5805$)⊨($1625$≦↸$5474$⇀∌))","expression":"⪛⨧((↹⩛33310⫗⊷⫓↹⩛10003⪄↹⩛10331↼⊘⨖↹⩛42513)⊨(↹⩛11305≦↸↹⩛41202⇀∌))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1009081,"operation_count":7,"complexity_ratio":144154.42857142858,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4650,"base":6},"right_expr":{"type":"numeric_atoms","value":1299,"base":6}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1423,"base":6},"right_expr":{"type":"numeric_atoms","value":5805,"base":6}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1625,"base":6},"right_expr":{"type":"numeric_atoms","value":5474,"base":6}}}}},"used_operators":["6NJAcO2OWT","vg4gO5BX6G","SUmda5xLS4","zashukvMKz","bPywburJMS","2k53nXOpI5","RygbFNSyEJ"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"↹⩛431223","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4650","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=4650, right_input=1299, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=5805","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=5805, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=11388","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=11388, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1625","layer":4},{"info":"number node, value=5474","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=5474, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13517","layer":3},{"info":"compute unary expreesion, input=-13517, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=113, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=16947","layer":1},{"info":"compute unary expreesion, input=16947, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=35295","layer":0}],"base":6,"result_base":6,"text":"⪛⨧((↹⩛33310⫗⊷⫓↹⩛10003⪄↹⩛10331↼⊘⨖↹⩛42513)⊨(↹⩛11305≦↸↹⩛41202⇀∌))=↹⩛431223","reverse_text":"↹⩛431223=⪛⨧((↹⩛33310⫗⊷⫓↹⩛10003⪄↹⩛10331↼⊘⨖↹⩛42513)⊨(↹⩛11305≦↸↹⩛41202⇀∌))","cot":[{"info":"↹⩛33310⫗⊷⫓↹⩛10003=↹⩛-342","layer":3},{"info":"↹⩛10331↼⊘⨖↹⩛42513=↹⩛124420","layer":3},{"info":"↹⩛-342⪄↹⩛124420=↹⩛30231","layer":2},{"info":"↹⩛11305≦↸↹⩛41202=↹⩛-142325","layer":3},{"info":"↹⩛-142325⇀∌=↹⩛305","layer":2},{"info":"↹⩛30231⊨↹⩛305=↹⩛210243","layer":1},{"info":"⪛⨧↹⩛210243=↹⩛431223","layer":0}]} +{"id":964,"expression_no_base_symbol":"(((↓⇌$2001$)⩚⊴⇥$2968$∀⇚≩$2243$)⪭($3657$⩒⫫$1600$⊭↱$2712$⨼⩣$3089$))⩖⊿((≔$2567$)≝⊿(↽≂$1070$)⇮⋭($4912$∛$2472$∵≐))","expression":"(((↓⇌↹⩛13133)⩚⊴⇥↹⩛21424∀⇚≩↹⩛14215)⪭(↹⩛24533⩒⫫↹⩛11224⊭↱↹⩛20320⨼⩣↹⩛22145))⩖⊿((≔↹⩛15515)≝⊿(↽≂↹⩛4542)⇮⋭(↹⩛34424∛↹⩛15240∵≐))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":21682,"operation_count":14,"complexity_ratio":1548.7142857142858,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2001,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2968,"base":6},"right_expr":{"type":"numeric_atoms","value":2243,"base":6}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3657,"base":6},"right_expr":{"type":"numeric_atoms","value":1600,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2712,"base":6},"right_expr":{"type":"numeric_atoms","value":3089,"base":6}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2567,"base":6}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1070,"base":6}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4912,"base":6},"right_expr":{"type":"numeric_atoms","value":2472,"base":6}}}}},"used_operators":["RZ5CV9rWsJ","j9kHMeSvPp","NTOWxs364D","PxpmPgHHJV","LRNGc0VcxI","COABgblf1C","KFSx94NKJn","JxwMv5le6e","vkpjKywKVM","OKKcZfAt5B","8FLs4eVsLt","u6S6b8DprG","59igzFyhWz","w2537kitQq"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","12rbrZMWeM","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2001","layer":4},{"info":"compute unary expreesion, input=2001, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2001","layer":3},{"info":"number node, value=2968","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=2243, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2001, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3657","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=1600, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3355","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=3089, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3355, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-70582","layer":3},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2140","layer":3},{"info":"compute binary expreesion, left_input=-70582, right_input=-2140, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=74329","layer":2},{"info":"number node, value=4912","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=4912, right_input=2472, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=220","layer":2},{"info":"compute binary expreesion, left_input=74329, right_input=220, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=170940","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=170940, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(((↓⇌↹⩛13133)⩚⊴⇥↹⩛21424∀⇚≩↹⩛14215)⪭(↹⩛24533⩒⫫↹⩛11224⊭↱↹⩛20320⨼⩣↹⩛22145))⩖⊿((≔↹⩛15515)≝⊿(↽≂↹⩛4542)⇮⋭(↹⩛34424∛↹⩛15240∵≐))=NaN","reverse_text":"NaN=(((↓⇌↹⩛13133)⩚⊴⇥↹⩛21424∀⇚≩↹⩛14215)⪭(↹⩛24533⩒⫫↹⩛11224⊭↱↹⩛20320⨼⩣↹⩛22145))⩖⊿((≔↹⩛15515)≝⊿(↽≂↹⩛4542)⇮⋭(↹⩛34424∛↹⩛15240∵≐))","cot":[{"info":"↓⇌↹⩛13133=↹⩛13133","layer":3},{"info":"↹⩛21424∀⇚≩↹⩛14215=NaN","layer":3},{"info":"↹⩛13133⩚⊴⇥NaN=NaN","layer":2},{"info":"↹⩛24533⩒⫫↹⩛11224=↹⩛23311","layer":3},{"info":"↹⩛20320⨼⩣↹⩛22145=NaN","layer":3},{"info":"↹⩛23311⊭↱NaN=NaN","layer":2},{"info":"NaN⪭NaN=NaN","layer":1},{"info":"≔↹⩛15515=↹⩛-1302434","layer":3},{"info":"↽≂↹⩛4542=↹⩛-13524","layer":3},{"info":"↹⩛-1302434≝⊿↹⩛-13524=↹⩛1332041","layer":2},{"info":"↹⩛34424∛↹⩛15240=↹⩛-3034","layer":3},{"info":"↹⩛-3034∵≐=↹⩛1004","layer":2},{"info":"↹⩛1332041⇮⋭↹⩛1004=↹⩛3355220","layer":1},{"info":"NaN⩖⊿↹⩛3355220=NaN","layer":0}]} +{"id":965,"expression_no_base_symbol":"($1135$⩣⫁∢$1087$⨟⋌⩍$3022$⋹⋡⊁$4995$⫳≱↱((↸⊣$2309$)⊾⪯⋞$1457$⫗⊷⫓$1525$))⫥∨⫟(($4530$⋭≵$4341$)≴⪞⇿(⨡↴$1131$)∲⫓($1873$+⇶⊼$3748$)∘($2000$⩹$1822$))","expression":"(↹⩛5131⩣⫁∢↹⩛5011⨟⋌⩍↹⩛21554⋹⋡⊁↹⩛35043⫳≱↱((↸⊣↹⩛14405)⊾⪯⋞↹⩛10425⫗⊷⫓↹⩛11021))⫥∨⫟((↹⩛32550⋭≵↹⩛32033)≴⪞⇿(⨡↴↹⩛5123)∲⫓(↹⩛12401+⇶⊼↹⩛25204)∘(↹⩛13132⩹↹⩛12234))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1247378,"operation_count":15,"complexity_ratio":83158.53333333334,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1135,"base":6},"right_expr":{"type":"numeric_atoms","value":1087,"base":6}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3022,"base":6},"right_expr":{"type":"numeric_atoms","value":4995,"base":6}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2309,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1457,"base":6},"right_expr":{"type":"numeric_atoms","value":1525,"base":6}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4530,"base":6},"right_expr":{"type":"numeric_atoms","value":4341,"base":6}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1131,"base":6}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1873,"base":6},"right_expr":{"type":"numeric_atoms","value":3748,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2000,"base":6},"right_expr":{"type":"numeric_atoms","value":1822,"base":6}}}}},"used_operators":["KYD54nUTWz","ZvLB05nZmT","rGHVDoGpnC","JDUIKTTSIa","As8RqfVLgs","HK0tfVPux8","wztAlM01eG","zashukvMKz","i8ToyICDmI","lvlrscuwVU","jBncVCNhdl","liw5iZPkLH","Z5m6OM72h2","TpPTUOHfaN","2Wsdkap16l"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Tcnh7f0tEr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","eH2TOUuTDT","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1087, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2109","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=4995, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5745","layer":3},{"info":"compute binary expreesion, left_input=-2109, right_input=5745, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2309","layer":4},{"info":"compute unary expreesion, input=2309, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2022","layer":3},{"info":"number node, value=1457","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=1525, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-2022, right_input=-134, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-822, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"number node, value=4530","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=4530, right_input=4341, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2180","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2180, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=85106","layer":2},{"info":"number node, value=1873","layer":4},{"info":"number node, value=3748","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=3748, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1822, 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=1820","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1820, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=85106, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5131⩣⫁∢↹⩛5011⨟⋌⩍↹⩛21554⋹⋡⊁↹⩛35043⫳≱↱((↸⊣↹⩛14405)⊾⪯⋞↹⩛10425⫗⊷⫓↹⩛11021))⫥∨⫟((↹⩛32550⋭≵↹⩛32033)≴⪞⇿(⨡↴↹⩛5123)∲⫓(↹⩛12401+⇶⊼↹⩛25204)∘(↹⩛13132⩹↹⩛12234))=NaN","reverse_text":"NaN=(↹⩛5131⩣⫁∢↹⩛5011⨟⋌⩍↹⩛21554⋹⋡⊁↹⩛35043⫳≱↱((↸⊣↹⩛14405)⊾⪯⋞↹⩛10425⫗⊷⫓↹⩛11021))⫥∨⫟((↹⩛32550⋭≵↹⩛32033)≴⪞⇿(⨡↴↹⩛5123)∲⫓(↹⩛12401+⇶⊼↹⩛25204)∘(↹⩛13132⩹↹⩛12234))","cot":[{"info":"↹⩛5131⩣⫁∢↹⩛5011=↹⩛-13433","layer":3},{"info":"↹⩛21554⋹⋡⊁↹⩛35043=↹⩛42333","layer":3},{"info":"↹⩛-13433⨟⋌⩍↹⩛42333=NaN","layer":2},{"info":"↸⊣↹⩛14405=↹⩛-13210","layer":3},{"info":"↹⩛10425⫗⊷⫓↹⩛11021=↹⩛-342","layer":3},{"info":"↹⩛-13210⊾⪯⋞↹⩛-342=↹⩛-3450","layer":2},{"info":"NaN⫳≱↱↹⩛-3450=NaN","layer":1},{"info":"↹⩛32550⋭≵↹⩛32033=↹⩛151","layer":3},{"info":"⨡↴↹⩛5123=↹⩛14032","layer":3},{"info":"↹⩛151≴⪞⇿↹⩛14032=↹⩛1454002","layer":2},{"info":"↹⩛12401+⇶⊼↹⩛25204=NaN","layer":3},{"info":"↹⩛13132⩹↹⩛12234=↹⩛12232","layer":3},{"info":"NaN∘↹⩛12232=NaN","layer":2},{"info":"↹⩛1454002∲⫓NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]} +{"id":966,"expression_no_base_symbol":"(($5478$⫡⨏$1592$)⨐($2452$↹⊜$7791$))⪃⊛⇣((↸⊣$1356$)⊔(≀↧⇸$2045$))∴(($1040$≝���$4990$)⪃⊛⇣(⊄⩳↩$1881$)⋻⩜⩜($2687$⋛$2061$⨸⪁$3225$⪕$1165$))","expression":"((↹⩛41210⫡⨏↹⩛11212)⨐(↹⩛15204↹⊜↹⩛100023))⪃⊛⇣((↸⊣↹⩛10140)⊔(≀↧⇸↹⩛13245))∴((↹⩛4452≝⊿↹⩛35034)⪃⊛⇣(⊄⩳↩↹⩛12413)⋻⩜⩜(↹⩛20235⋛↹⩛13313⨸⪁↹⩛22533⪕↹⩛5221))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2852569,"operation_count":15,"complexity_ratio":190171.26666666666,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5478,"base":6},"right_expr":{"type":"numeric_atoms","value":1592,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2452,"base":6},"right_expr":{"type":"numeric_atoms","value":7791,"base":6}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1356,"base":6}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2045,"base":6}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1040,"base":6},"right_expr":{"type":"numeric_atoms","value":4990,"base":6}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1881,"base":6}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2687,"base":6},"right_expr":{"type":"numeric_atoms","value":2061,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3225,"base":6},"right_expr":{"type":"numeric_atoms","value":1165,"base":6}}}}},"used_operators":["hrf7POJlIJ","rrgAzCduG9","Noe24qw2ks","QMFrweE19q","9bazX3JMtO","E4l6HwMY31","wztAlM01eG","ljTHtUsqzn","oDCm7WA9JY","OKKcZfAt5B","8w2t5hMYqp","g55IO6H4Gj","YbUVn0Rbpy","umQnsF7QlU"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","XPYlsWDdGa","23Mk6UjR3U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"↹⩛31020","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5478","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=5478, right_input=1592, 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=31357","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=7791","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=7791, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-26356","layer":3},{"info":"compute binary expreesion, left_input=31357, right_input=-26356, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-62714","layer":2},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1069","layer":3},{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4090","layer":3},{"info":"compute binary expreesion, left_input=-1069, right_input=4090, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14836","layer":2},{"info":"compute binary expreesion, left_input=-62714, right_input=14836, 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=1040","layer":4},{"info":"number node, value=4990","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=4990, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11553","layer":3},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5643","layer":3},{"info":"compute binary expreesion, left_input=-11553, right_input=-5643, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2687","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=2061, 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=-108009","layer":3},{"info":"number node, value=3225","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=1165, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6186","layer":3},{"info":"compute binary expreesion, left_input=-108009, right_input=6186, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-203646","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-203646, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2468","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=2468, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4116","layer":0}],"base":6,"result_base":6,"text":"((↹⩛41210⫡⨏↹⩛11212)⨐(↹⩛15204↹⊜↹⩛100023))⪃⊛⇣((↸⊣↹⩛10140)⊔(≀↧⇸↹⩛13245))∴((↹⩛4452≝⊿↹⩛35034)⪃⊛⇣(⊄⩳↩↹⩛12413)⋻⩜⩜(↹⩛20235⋛↹⩛13313⨸⪁↹⩛22533⪕↹⩛5221))=↹⩛31020","reverse_text":"↹⩛31020=((↹⩛41210⫡⨏↹⩛11212)⨐(↹⩛15204↹⊜↹⩛100023))⪃⊛⇣((↸⊣↹⩛10140)⊔(≀↧⇸↹⩛13245))∴((↹⩛4452≝⊿↹⩛35034)⪃⊛⇣(⊄⩳↩↹⩛12413)⋻⩜⩜(↹⩛20235⋛↹⩛13313⨸⪁↹⩛22533⪕↹⩛5221))","cot":[{"info":"↹⩛41210⫡⨏↹⩛11212=↹⩛401101","layer":3},{"info":"↹⩛15204↹⊜↹⩛100023=↹⩛-322004","layer":3},{"info":"↹⩛401101⨐↹⩛-322004=↹⩛-1202202","layer":2},{"info":"↸⊣↹⩛10140=↹⩛-4541","layer":3},{"info":"≀↧⇸↹⩛13245=↹⩛30534","layer":3},{"info":"↹⩛-4541⊔↹⩛30534=↹⩛152404","layer":2},{"info":"↹⩛-1202202⪃⊛⇣↹⩛152404=↹⩛5414","layer":1},{"info":"↹⩛4452≝⊿↹⩛35034=↹⩛-125253","layer":3},{"info":"⊄⩳↩↹⩛12413=↹⩛-42043","layer":3},{"info":"↹⩛-125253⪃⊛⇣↹⩛-42043=↹⩛5414","layer":2},{"info":"↹⩛20235⋛↹⩛13313=↹⩛-2152013","layer":3},{"info":"↹⩛22533⪕↹⩛5221=↹⩛44350","layer":3},{"info":"↹⩛-2152013⨸⪁↹⩛44350=↹⩛-4210450","layer":2},{"info":"↹⩛5414⋻⩜⩜↹⩛-4210450=↹⩛15232","layer":1},{"info":"↹⩛5414∴↹⩛15232=↹⩛31020","layer":0}]} +{"id":967,"expression_no_base_symbol":"⊥(↥≼⋛($1623$⊦⊿))≚⊃≕($2419$⨪↰⇹$2577$⪑⩈)","expression":"⊥(↥≼⋛(↹⩛11303⊦⊿))≚⊃≕(↹⩛15111⨪↰⇹↹⩛15533⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2486,"operation_count":6,"complexity_ratio":414.3333333333333,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1623,"base":6}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2419,"base":6},"right_expr":{"type":"numeric_atoms","value":2577,"base":6}}}}},"used_operators":["Q3PJZHRvZv","Bmrmz2XGnR","x5lMkHmzsq","14qkJME0vr","C6VvDP6HwP","tmPS8pqC7x"],"dependent_operators":["fu6greOZ01","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":4},{"info":"compute unary expreesion, input=1623, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4948","layer":3},{"info":"compute unary expreesion, input=-4948, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-4915","layer":2},{"info":"number node, value=2419","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=2577, 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=2419","layer":3},{"info":"compute unary expreesion, input=2419, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=18523","layer":2},{"info":"compute binary expreesion, left_input=-4915, right_input=18523, 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=17220","layer":1},{"info":"compute unary expreesion, input=17220, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊥(↥≼⋛(↹⩛11303⊦⊿))≚⊃≕(↹⩛15111⨪↰⇹↹⩛15533⪑⩈)=NaN","reverse_text":"NaN=⊥(↥≼⋛(↹⩛11303⊦⊿))≚⊃≕(↹⩛15111⨪↰⇹↹⩛15533⪑⩈)","cot":[{"info":"↹⩛11303⊦⊿=↹⩛-34524","layer":3},{"info":"↥≼⋛↹⩛-34524=↹⩛-34431","layer":2},{"info":"↹⩛15111⨪↰⇹↹⩛15533=↹⩛15111","layer":3},{"info":"↹⩛15111⪑⩈=↹⩛221431","layer":2},{"info":"↹⩛-34431≚⊃≕↹⩛221431=↹⩛211420","layer":1},{"info":"⊥↹⩛211420=NaN","layer":0}]} +{"id":968,"expression_no_base_symbol":"((⪨⨬(⩦⩻⨪$4861$))⊭↱$4721$⊬⨰$3254$∼($2968$⇋≉))⩌⋺(↯⪼($2675$⪎↠$3660$≳⇉$6886$⫗⊷⫓$1494$))","expression":"((⪨⨬(⩦⩻⨪↹⩛34301))⊭↱↹⩛33505⊬⨰↹⩛23022∼(↹⩛21424⇋≉))⩌⋺(↯⪼(↹⩛20215⪎↠↹⩛24540≳⇉↹⩛51514⫗⊷⫓↹⩛10530))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1470206,"operation_count":11,"complexity_ratio":133655.0909090909,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4861,"base":6}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4721,"base":6},"right_expr":{"type":"numeric_atoms","value":3254,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2968,"base":6}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2675,"base":6},"right_expr":{"type":"numeric_atoms","value":3660,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6886,"base":6},"right_expr":{"type":"numeric_atoms","value":1494,"base":6}}}}},"used_operators":["g7Hmc5v1ko","COABgblf1C","5obUd6DV38","2td37pGCOC","DyGG3AbaNP","s3Fd5m9Dh2","XIabStNQrY","8jW3W4yZS5","V0kx6qeWkN","3tVxb0NHM4","zashukvMKz"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4861","layer":4},{"info":"compute unary expreesion, input=4861, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4861","layer":3},{"info":"compute unary expreesion, input=4861, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=4721","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=3254, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16681","layer":3},{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5838","layer":3},{"info":"compute binary expreesion, left_input=16681, right_input=5838, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2675","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=3660, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=6886","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=6886, right_input=1494, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-134, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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":6,"result_base":6,"text":"((⪨⨬(⩦⩻⨪↹⩛34301))⊭↱↹⩛33505⊬⨰↹⩛23022∼(↹⩛21424⇋≉))⩌⋺(↯⪼(↹⩛20215⪎↠↹⩛24540≳⇉↹⩛51514⫗⊷⫓↹⩛10530))=NaN","reverse_text":"NaN=((⪨⨬(⩦⩻⨪↹⩛34301))⊭↱↹⩛33505⊬⨰↹⩛23022∼(↹⩛21424⇋≉))⩌⋺(↯⪼(↹⩛20215⪎↠↹⩛24540≳⇉↹⩛51514⫗⊷⫓↹⩛10530))","cot":[{"info":"⩦⩻⨪↹⩛34301=↹⩛34301","layer":3},{"info":"⪨⨬↹⩛34301=↹⩛-2234","layer":2},{"info":"↹⩛33505⊬⨰↹⩛23022=↹⩛205121","layer":3},{"info":"↹⩛21424⇋≉=↹⩛43010","layer":3},{"info":"↹⩛205121∼↹⩛43010=NaN","layer":2},{"info":"↹⩛-2234⊭↱NaN=NaN","layer":1},{"info":"↹⩛20215⪎↠↹⩛24540=↹⩛424","layer":3},{"info":"↹⩛51514⫗⊷⫓↹⩛10530=↹⩛-342","layer":3},{"info":"↹⩛424≳⇉↹⩛-342=NaN","layer":2},{"info":"↯⪼NaN=↹⩛-33","layer":1},{"info":"NaN⩌⋺↹⩛-33=NaN","layer":0}]} +{"id":969,"expression_no_base_symbol":"↯⪼((($2762$⫳≱↱$2768$)⋾⨃∁($1127$∲⫓$5872$))⫻⋑⊟)","expression":"↯⪼(((↹⩛20442⫳≱↱↹⩛20452)⋾⨃∁(↹⩛5115∲⫓↹⩛43104))⫻⋑⊟)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":391,"operation_count":5,"complexity_ratio":78.2,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2762,"base":6},"right_expr":{"type":"numeric_atoms","value":2768,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1127,"base":6},"right_expr":{"type":"numeric_atoms","value":5872,"base":6}}}}},"used_operators":["8jW3W4yZS5","o575Zjdmzy","212REbPD9h","ZvLB05nZmT","i8ToyICDmI"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2762","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=2768, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5872, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-204, 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":2},{"info":"compute unary expreesion, input=-94, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=1074","layer":1},{"info":"compute unary expreesion, input=1074, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":6,"result_base":6,"text":"↯⪼(((↹⩛20442⫳≱↱↹⩛20452)⋾⨃∁(↹⩛5115∲⫓↹⩛43104))⫻⋑⊟)=↹⩛-33","reverse_text":"↹⩛-33=↯⪼(((↹⩛20442⫳≱↱↹⩛20452)⋾⨃∁(↹⩛5115∲⫓↹⩛43104))⫻⋑⊟)","cot":[{"info":"↹⩛20442⫳≱↱↹⩛20452=↹⩛-540","layer":3},{"info":"↹⩛5115∲⫓↹⩛43104=↹⩛0","layer":3},{"info":"↹⩛-540⋾⨃∁↹⩛0=↹⩛-234","layer":2},{"info":"↹⩛-234⫻⋑⊟=↹⩛4550","layer":1},{"info":"↯⪼↹⩛4550=↹⩛-33","layer":0}]} +{"id":970,"expression_no_base_symbol":"≔((⨰⫟⨤($1347$∲⫓$4257$))⊬⨰(⨴⫝$5210$↤⩊$5697$))","expression":"≔((⨰⫟⨤(↹⩛10123∲⫓↹⩛31413))⊬⨰(⨴⫝↹⩛40042↤⩊↹⩛42213))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1190,"operation_count":6,"complexity_ratio":198.33333333333334,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1347,"base":6},"right_expr":{"type":"numeric_atoms","value":4257,"base":6}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5210,"base":6},"right_expr":{"type":"numeric_atoms","value":5697,"base":6}}}}},"used_operators":["8FLs4eVsLt","s3Fd5m9Dh2","Tw270M8GLb","i8ToyICDmI","SVb2v531z1","13rbtpv6ld"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=4257, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=5210","layer":4},{"info":"number node, value=5697","layer":4},{"info":"compute binary expreesion, left_input=5210, right_input=5697, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4492662, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"≔((⨰⫟⨤(↹⩛10123∲⫓↹⩛31413))⊬⨰(⨴⫝↹⩛40042↤⩊↹⩛42213))=NaN","reverse_text":"NaN=≔((⨰⫟⨤(↹⩛10123∲⫓↹⩛31413))⊬⨰(⨴⫝↹⩛40042↤⩊↹⩛42213))","cot":[{"info":"↹⩛10123∲⫓↹⩛31413=↹⩛0","layer":3},{"info":"⨰⫟⨤↹⩛0=↹⩛240143210","layer":2},{"info":"↹⩛40042↤⩊↹⩛42213=NaN","layer":3},{"info":"⨴⫝NaN=NaN","layer":2},{"info":"↹⩛240143210⊬⨰NaN=NaN","layer":1},{"info":"≔NaN=NaN","layer":0}]} +{"id":971,"expression_no_base_symbol":"($1023$⫸⊐$2468$⫳≱↱$1234$≚⊃≕$3297$)∠↢($1477$≥⨤⩑$4767$⩵∡$2815$⫗⊷⫓$1155$)⋻⩜⩜(⇁⨣⪵($1090$∀⊥⇻))⇂≾⫗($4003$⊲⩕⊾$6118$⇷$1418$∊∟⩊$6897$)","expression":"(↹⩛4423⫸⊐↹⩛15232⫳≱↱↹⩛5414≚⊃≕↹⩛23133)∠↢(↹⩛10501≥⨤⩑↹⩛34023⩵∡↹⩛21011⫗⊷⫓↹⩛5203)⋻⩜⩜(⇁⨣⪵(↹⩛5014∀⊥⇻))⇂≾⫗(↹⩛30311⊲⩕⊾↹⩛44154⇷↹⩛10322∊∟⩊↹⩛51533)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2612732,"operation_count":14,"complexity_ratio":186623.7142857143,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1023,"base":6},"right_expr":{"type":"numeric_atoms","value":2468,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1234,"base":6},"right_expr":{"type":"numeric_atoms","value":3297,"base":6}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1477,"base":6},"right_expr":{"type":"numeric_atoms","value":4767,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2815,"base":6},"right_expr":{"type":"numeric_atoms","value":1155,"base":6}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1090,"base":6}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4003,"base":6},"right_expr":{"type":"numeric_atoms","value":6118,"base":6}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1418,"base":6},"right_expr":{"type":"numeric_atoms","value":6897,"base":6}}}}},"used_operators":["oDCm7WA9JY","KbjG8mgYpV","ZvLB05nZmT","mqXw5SEYmG","Bmrmz2XGnR","Y7wcNGrDQJ","gJLn6v0xnP","zashukvMKz","aBQ6xLxuTc","inkyxCbjAn","k4iM1060OG","mp7IySMOzn","DmTXOeWf9t","ddLRYrp01A"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"↹⩛1414320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2468, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9747","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=3297, 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=-10919","layer":3},{"info":"compute binary expreesion, left_input=9747, right_input=-10919, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1477","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=4767, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2815","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=1155, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-134, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2723","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=-2723, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=40020","layer":1},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=4003","layer":4},{"info":"number node, value=6118","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=6118, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(��⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-121858","layer":3},{"info":"number node, value=1418","layer":4},{"info":"number node, value=6897","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=6897, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6897","layer":3},{"info":"compute binary expreesion, left_input=-121858, right_input=6897, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13794","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13794, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=40020, right_input=-676, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=80040","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4423⫸⊐↹⩛15232⫳≱↱↹⩛5414≚⊃≕↹⩛23133)∠↢(↹⩛10501≥⨤⩑↹⩛34023⩵∡↹⩛21011⫗⊷⫓↹⩛5203)⋻⩜⩜(⇁⨣⪵(↹⩛5014∀⊥⇻))⇂≾⫗(↹⩛30311⊲⩕⊾↹⩛44154⇷↹⩛10322∊∟⩊↹⩛51533)=↹⩛1414320","reverse_text":"↹⩛1414320=(↹⩛4423⫸⊐↹⩛15232⫳≱↱↹⩛5414≚⊃≕↹⩛23133)∠↢(↹⩛10501≥⨤⩑↹⩛34023⩵∡↹⩛21011⫗⊷⫓↹⩛5203)⋻⩜⩜(⇁⨣⪵(↹⩛5014∀⊥⇻))⇂≾⫗(↹⩛30311⊲⩕⊾↹⩛44154⇷↹⩛10322∊∟⩊↹⩛51533)","cot":[{"info":"↹⩛4423⫸⊐↹⩛15232=↹⩛113043","layer":3},{"info":"↹⩛5414≚⊃≕↹⩛23133=↹⩛-122315","layer":3},{"info":"↹⩛113043⫳≱↱↹⩛-122315=↹⩛-540","layer":2},{"info":"↹⩛10501≥⨤⩑↹⩛34023=↹⩛5414","layer":3},{"info":"↹⩛21011⫗⊷⫓↹⩛5203=↹⩛-342","layer":3},{"info":"↹⩛5414⩵∡↹⩛-342=↹⩛-20335","layer":2},{"info":"↹⩛-540∠↢↹⩛-20335=↹⩛505140","layer":1},{"info":"↹⩛5014∀⊥⇻=↹⩛0","layer":3},{"info":"⇁⨣⪵↹⩛0=↹⩛0","layer":2},{"info":"↹⩛30311⊲⩕⊾↹⩛44154=↹⩛-2340054","layer":3},{"info":"↹⩛10322∊∟⩊↹⩛51533=↹⩛51533","layer":3},{"info":"↹⩛-2340054⇷↹⩛51533=↹⩛143510","layer":2},{"info":"↹⩛0⇂≾⫗↹⩛143510=↹⩛-3044","layer":1},{"info":"↹⩛505140⋻⩜⩜↹⩛-3044=↹⩛1414320","layer":0}]} +{"id":972,"expression_no_base_symbol":"⪓⩚(($2199$⨽⪊≇)⇡⇂($3958$∘$5429$)⋓($3309$≄⊠$4663$∙∹∝$6985$⫗⊷⫓$2026$))","expression":"⪓⩚((↹⩛14103⨽⪊≇)⇡⇂(↹⩛30154∘↹⩛41045)⋓(↹⩛23153≄⊠↹⩛33331∙∹∝↹⩛52201⫗⊷⫓↹⩛13214))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1620682,"operation_count":8,"complexity_ratio":202585.25,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":2199,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3958,"base":6},"right_expr":{"type":"numeric_atoms","value":5429,"base":6}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3309,"base":6},"right_expr":{"type":"numeric_atoms","value":4663,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6985,"base":6},"right_expr":{"type":"numeric_atoms","value":2026,"base":6}}}}},"used_operators":["u0R0Locfp2","T2fj7uvVaJ","UMwdvZNt44","nlCqmYiOvY","Z5m6OM72h2","HmxsFra2vL","vXNesLlMH1","zashukvMKz"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","eH2TOUuTDT","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"↹⩛1550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2199","layer":4},{"info":"compute unary expreesion, input=2199, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=3872","layer":3},{"info":"number node, value=3958","layer":4},{"info":"number node, value=5429","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=5429, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7916","layer":3},{"info":"compute binary expreesion, left_input=3872, right_input=7916, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=3309","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=3309, right_input=4663, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=79276","layer":3},{"info":"number node, value=6985","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=6985, right_input=2026, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=79276, right_input=-134, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":6,"result_base":6,"text":"⪓⩚((↹⩛14103⨽⪊≇)⇡⇂(↹⩛30154∘↹⩛41045)⋓(↹⩛23153≄⊠↹⩛33331∙∹∝↹⩛52201⫗⊷⫓↹⩛13214))=↹⩛1550","reverse_text":"↹⩛1550=⪓⩚((↹⩛14103⨽⪊≇)⇡⇂(↹⩛30154∘↹⩛41045)⋓(↹⩛23153≄⊠↹⩛33331∙∹∝↹⩛52201⫗⊷⫓↹⩛13214))","cot":[{"info":"↹⩛14103⨽⪊≇=↹⩛25532","layer":3},{"info":"↹⩛30154∘↹⩛41045=↹⩛100352","layer":3},{"info":"↹⩛25532⇡⇂↹⩛100352=NaN","layer":2},{"info":"↹⩛23153≄⊠↹⩛33331=↹⩛1411004","layer":3},{"info":"↹⩛52201⫗⊷⫓↹⩛13214=↹⩛-342","layer":3},{"info":"↹⩛1411004∙∹∝↹⩛-342=↹⩛0","layer":2},{"info":"NaN⋓↹⩛0=↹⩛0","layer":1},{"info":"⪓⩚↹⩛0=↹⩛1550","layer":0}]} +{"id":973,"expression_no_base_symbol":"(≋(($4934$⨎$5612$)⇴∐($3950$∽$2317$)))⩁⩘(↽≂($1044$⪪$2803$⨸⪁(-$5857$)))","expression":"(≋((↹⩛34502⨎↹⩛41552)⇴∐(↹⩛30142∽↹⩛14421)))⩁⩘(↽≂(↹⩛4500⪪↹⩛20551⨸⪁(-↹⩛43041)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3334,"operation_count":9,"complexity_ratio":370.44444444444446,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4934,"base":6},"right_expr":{"type":"numeric_atoms","value":5612,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3950,"base":6},"right_expr":{"type":"numeric_atoms","value":2317,"base":6}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1044,"base":6},"right_expr":{"type":"numeric_atoms","value":2803,"base":6}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5857,"base":6}}}}},"used_operators":["gub5Cegaqo","61wBmkZwlr","HnzytWxmAO","rJVOvQCfKK","y4ImoPnbV5","u6S6b8DprG","g55IO6H4Gj","xD69zh8xqp","t8gj7n24qd"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","7j4O788W3g","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4934","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=5612, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5612","layer":3},{"info":"number node, value=3950","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=2317, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-26523","layer":3},{"info":"compute binary expreesion, left_input=5612, right_input=-26523, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2803, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-153733","layer":3},{"info":"number node, value=5857","layer":4},{"info":"compute unary expreesion, input=5857, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5857","layer":3},{"info":"compute binary expreesion, left_input=-153733, right_input=-5857, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-319180","layer":2},{"info":"compute unary expreesion, input=-319180, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=638360","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=638360, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≋((↹⩛34502⨎↹⩛41552)⇴∐(↹⩛30142∽↹⩛14421)))⩁⩘(↽≂(↹⩛4500⪪↹⩛20551⨸⪁(-↹⩛43041)))=NaN","reverse_text":"NaN=(≋((↹⩛34502⨎↹⩛41552)⇴∐(↹⩛30142∽↹⩛14421)))⩁⩘(↽≂(↹⩛4500⪪↹⩛20551⨸⪁(-↹⩛43041)))","cot":[{"info":"↹⩛34502⨎↹⩛41552=↹⩛41552","layer":3},{"info":"↹⩛30142∽↹⩛14421=↹⩛-322443","layer":3},{"info":"↹⩛41552⇴∐↹⩛-322443=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"↹⩛4500⪪↹⩛20551=↹⩛-3143421","layer":3},{"info":"-↹⩛43041=↹⩛-43041","layer":3},{"info":"↹⩛-3143421⨸⪁↹⩛-43041=↹⩛-10501404","layer":2},{"info":"↽≂↹⩛-10501404=↹⩛21403212","layer":1},{"info":"NaN⩁⩘↹⩛21403212=NaN","layer":0}]} +{"id":974,"expression_no_base_symbol":"(($1597$∺≝⩲$3659$⊹≧⊝)⩒⫫$2292$⪛$1811$⨓(⩩$1224$))⩺⋐⫨","expression":"((↹⩛11221∺≝⩲↹⩛24535⊹≧⊝)⩒⫫↹⩛14340⪛↹⩛12215⨓(⩩↹⩛5400))⩺⋐⫨","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2284,"operation_count":7,"complexity_ratio":326.2857142857143,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1597,"base":6},"right_expr":{"type":"numeric_atoms","value":3659,"base":6}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2292,"base":6},"right_expr":{"type":"numeric_atoms","value":1811,"base":6}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1224,"base":6}}}}},"used_operators":["yS9ePUuUdn","KFSx94NKJn","LxFB4K6j0n","KPf6cnQVty","3ViojmjbAp","uFcxV4UQCh","kMhfGuqI2H"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=3659, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-640","layer":2},{"info":"number node, value=2292","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=1811, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=481","layer":3},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=481, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-640, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐�� = { ((a≣⋋)⨽∌(a⪭a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛11221∺≝⩲↹⩛24535⊹≧⊝)⩒⫫↹⩛14340⪛↹⩛12215⨓(⩩↹⩛5400))⩺⋐⫨=NaN","reverse_text":"NaN=((↹⩛11221∺≝⩲↹⩛24535⊹≧⊝)⩒⫫↹⩛14340⪛↹⩛12215⨓(⩩↹⩛5400))⩺⋐⫨","cot":[{"info":"↹⩛11221∺≝⩲↹⩛24535=↹⩛424","layer":3},{"info":"↹⩛424⊹≧⊝=↹⩛-2544","layer":2},{"info":"↹⩛14340⪛↹⩛12215=↹⩛2121","layer":3},{"info":"⩩↹⩛5400=NaN","layer":3},{"info":"↹⩛2121⨓NaN=NaN","layer":2},{"info":"↹⩛-2544⩒⫫NaN=NaN","layer":1},{"info":"NaN⩺⋐⫨=NaN","layer":0}]} +{"id":975,"expression_no_base_symbol":"⨰⫟⨤(($2218$⨥⫆$2524$⪹)⇄$1775$↢$1573$⩍⋽⫝̸($1098$↸$3185$))","expression":"⨰⫟⨤((↹⩛14134⨥⫆↹⩛15404⪹)⇄↹⩛12115↢↹⩛11141⩍⋽⫝̸(↹⩛5030↸↹⩛22425))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2046,"operation_count":7,"complexity_ratio":292.2857142857143,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2218,"base":6},"right_expr":{"type":"numeric_atoms","value":2524,"base":6}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1775,"base":6},"right_expr":{"type":"numeric_atoms","value":1573,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1098,"base":6},"right_expr":{"type":"numeric_atoms","value":3185,"base":6}}}}},"used_operators":["Tw270M8GLb","3EYGwJThht","B3sABdIn96","yXekIHxTD4","BiWNJpBvwn","WR6HLWljOP","1eCjFl0mb9"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"↹⩛240143210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2218","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=2524, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4924","layer":3},{"info":"compute unary expreesion, input=4924, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=14340","layer":2},{"info":"number node, value=1775","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=1775, right_input=1573, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1291","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3185, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1098","layer":3},{"info":"compute binary expreesion, left_input=1291, right_input=1098, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=152","layer":2},{"info":"compute binary expreesion, left_input=14340, right_input=152, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":6,"result_base":6,"text":"⨰⫟⨤((↹⩛14134⨥⫆↹⩛15404⪹)⇄↹⩛12115↢↹⩛11141⩍⋽⫝̸(↹⩛5030↸↹⩛22425))=↹⩛240143210","reverse_text":"↹⩛240143210=⨰⫟⨤((↹⩛14134⨥⫆↹⩛15404⪹)⇄↹⩛12115↢↹⩛11141⩍⋽⫝̸(↹⩛5030↸↹⩛22425))","cot":[{"info":"↹⩛14134⨥⫆↹⩛15404=↹⩛34444","layer":3},{"info":"↹⩛34444⪹=↹⩛150220","layer":2},{"info":"↹⩛12115↢↹⩛11141=↹⩛5551","layer":3},{"info":"↹⩛5030↸↹⩛22425=↹⩛5030","layer":3},{"info":"↹⩛5551⩍⋽⫝̸↹⩛5030=↹⩛412","layer":2},{"info":"↹⩛150220⇄↹⩛412=↹⩛0","layer":1},{"info":"⨰⫟⨤↹⩛0=↹⩛240143210","layer":0}]} +{"id":976,"expression_no_base_symbol":"((⫡⇟⇯$2274$)∼($2111$∕⩚$1490$))↓(∟⋨($1038$⨫⇇↔$1161$))⨐⩸⫘((⪸$4380$)⪢(↯⪼$8459$)⊝)","expression":"((⫡⇟⇯↹⩛14310)∼(↹⩛13435∕⩚↹⩛10522))↓(∟⋨(↹⩛4450⨫⇇↔↹⩛5213))⨐⩸⫘((⪸↹⩛32140)⪢(↯⪼↹⩛103055)⊝)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":101130,"operation_count":11,"complexity_ratio":9193.636363636364,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2274,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2111,"base":6},"right_expr":{"type":"numeric_atoms","value":1490,"base":6}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1038,"base":6},"right_expr":{"type":"numeric_atoms","value":1161,"base":6}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4380,"base":6}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8459,"base":6}}}}},"used_operators":["fu6greOZ01","Af076pWI7l","DyGG3AbaNP","qWUSsah53b","z9ffQ9n5Zr","ctOc4cKSDt","LXhwmt4mBO","O6EZ0fifGK","dWAJyo7jo9","86A5ENbKR9","8jW3W4yZS5"],"dependent_operators":["3ViojmjbAp","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","P8v4zCKN1o","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","tmPS8pqC7x","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","k8jYdgA6NY","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2274","layer":4},{"info":"compute unary expreesion, input=2274, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5416","layer":3},{"info":"number node, value=2111","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=1490, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2114","layer":3},{"info":"compute binary expreesion, left_input=5416, right_input=-2114, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1038","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=1161, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-43","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-43, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=102","layer":1},{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-74251","layer":3},{"info":"number node, value=8459","layer":4},{"info":"compute unary expreesion, input=8459, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-74251, right_input=-21, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=102, 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":6,"result_base":6,"text":"((⫡⇟⇯↹⩛14310)∼(↹⩛13435∕⩚↹⩛10522))↓(∟⋨(↹⩛4450⨫⇇↔↹⩛5213))⨐⩸⫘((⪸↹⩛32140)⪢(↯⪼↹⩛103055)⊝)=NaN","reverse_text":"NaN=((⫡⇟⇯↹⩛14310)∼(↹⩛13435∕⩚↹⩛10522))↓(∟⋨(↹⩛4450⨫⇇↔↹⩛5213))⨐⩸⫘((⪸↹⩛32140)⪢(↯⪼↹⩛103055)⊝)","cot":[{"info":"⫡⇟⇯↹⩛14310=↹⩛41024","layer":3},{"info":"↹⩛13435∕⩚↹⩛10522=↹⩛-13442","layer":3},{"info":"↹⩛41024∼↹⩛-13442=NaN","layer":2},{"info":"↹⩛4450⨫⇇↔↹⩛5213=↹⩛-2235","layer":3},{"info":"∟⋨↹⩛-2235=↹⩛-111","layer":2},{"info":"NaN↓↹⩛-111=↹⩛250","layer":1},{"info":"⪸↹⩛32140=↹⩛-1331431","layer":3},{"info":"↯⪼↹⩛103055=↹⩛-33","layer":3},{"info":"↹⩛-1331431⪢↹⩛-33=NaN","layer":2},{"info":"NaN⊝=NaN","layer":1},{"info":"↹⩛250⨐⩸⫘NaN=NaN","layer":0}]} +{"id":977,"expression_no_base_symbol":"∐⩳⋚(($3115$⊬⨰$3938$)⫗⊷⫓(⨑⩽⪐$2458$)⊢((⫵↿$2968$)⇼⇔∾$1327$↓$4176$))","expression":"∐⩳⋚((↹⩛22231⊬⨰↹⩛30122)⫗⊷⫓(⨑⩽⪐↹⩛15214)⊢((⫵↿↹⩛21424)⇼⇔∾↹⩛10051↓↹⩛31200))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1757410,"operation_count":8,"complexity_ratio":219676.25,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3115,"base":6},"right_expr":{"type":"numeric_atoms","value":3938,"base":6}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2458,"base":6}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2968,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1327,"base":6},"right_expr":{"type":"numeric_atoms","value":4176,"base":6}}}}},"used_operators":["SL6IHkK8vl","5twsqlHp2o","zashukvMKz","s3Fd5m9Dh2","AF7qkfDlqP","tifHPKVTfV","ivGwdmUAux","Af076pWI7l"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"↹⩛-234354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3115","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=3938, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17811","layer":3},{"info":"number node, value=2458","layer":4},{"info":"compute unary expreesion, input=2458, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2185","layer":3},{"info":"compute binary expreesion, left_input=17811, right_input=-2185, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=4176, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-134, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-271","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-271, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=24","layer":1},{"info":"compute unary expreesion, input=24, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-20446","layer":0}],"base":6,"result_base":6,"text":"∐⩳⋚((↹⩛22231⊬⨰↹⩛30122)⫗⊷⫓(⨑⩽⪐↹⩛15214)⊢((⫵↿↹⩛21424)⇼⇔∾↹⩛10051↓↹⩛31200))=↹⩛-234354","reverse_text":"↹⩛-234354=∐⩳⋚((↹⩛22231⊬⨰↹⩛30122)⫗⊷⫓(⨑⩽⪐↹⩛15214)⊢((⫵↿↹⩛21424)⇼⇔∾↹⩛10051↓↹⩛31200))","cot":[{"info":"↹⩛22231⊬⨰↹⩛30122=↹⩛214243","layer":3},{"info":"⨑⩽⪐↹⩛15214=↹⩛-14041","layer":3},{"info":"↹⩛214243⫗⊷⫓↹⩛-14041=↹⩛-342","layer":2},{"info":"⫵↿↹⩛21424=↹⩛345","layer":3},{"info":"↹⩛10051↓↹⩛31200=↹⩛-342","layer":3},{"info":"↹⩛345⇼⇔∾↹⩛-342=↹��-1131","layer":2},{"info":"↹⩛-342⊢↹⩛-1131=↹⩛40","layer":1},{"info":"∐⩳⋚↹⩛40=↹⩛-234354","layer":0}]} +{"id":978,"expression_no_base_symbol":"⨞⊢($6142$⪟⇏$2323$⪛$5139$⫗⊷⫓$2069$≬⋮$3292$⨂≜$4760$⨜⨶($1030$⨶))","expression":"⨞⊢(↹⩛44234⪟⇏↹⩛14431⪛↹⩛35443⫗⊷⫓↹⩛13325≬⋮↹⩛23124⨂≜↹⩛34012⨜⨶(↹⩛4434⨶))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1610324,"operation_count":8,"complexity_ratio":201290.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6142,"base":6},"right_expr":{"type":"numeric_atoms","value":2323,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5139,"base":6},"right_expr":{"type":"numeric_atoms","value":2069,"base":6}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3292,"base":6},"right_expr":{"type":"numeric_atoms","value":4760,"base":6}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1030,"base":6}}}}},"used_operators":["xUOZtlo3hN","kbkesczE7y","uFcxV4UQCh","GODebY97qR","zashukvMKz","HiPekx5b7W","k1SHOSEABc","rFxw8gIMmB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","f6k1SAg4EE","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6142","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=6142, right_input=2323, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=5139","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=5139, right_input=2069, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1","layer":2},{"info":"number node, value=3292","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=4760, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=314","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=314, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨞⊢(↹⩛44234⪟⇏↹⩛14431⪛↹⩛35443⫗⊷⫓↹⩛13325≬⋮↹⩛23124⨂≜↹⩛34012⨜⨶(↹⩛4434⨶))=NaN","reverse_text":"NaN=⨞⊢(↹⩛44234⪟⇏↹⩛14431⪛↹⩛35443⫗⊷⫓↹⩛13325≬⋮↹⩛23124⨂≜↹⩛34012⨜⨶(↹⩛4434⨶))","cot":[{"info":"↹⩛44234⪟⇏↹⩛14431=↹⩛-1","layer":3},{"info":"↹⩛35443⫗⊷⫓↹⩛13325=↹⩛-342","layer":3},{"info":"↹⩛-1⪛↹⩛-342=↹⩛-1","layer":2},{"info":"↹⩛23124⨂≜↹⩛34012=NaN","layer":3},{"info":"↹⩛4434⨶=↹⩛1242","layer":3},{"info":"NaN⨜⨶↹⩛1242=NaN","layer":2},{"info":"↹⩛-1≬⋮NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]} +{"id":979,"expression_no_base_symbol":"(($4531$⨿$1670$⊋($5445$⫥∨⫟$1287$))⨌↪)⫌⩉⩟(⪡⇡≛($3324$⊉↱≁$4715$≒∊($1673$⨔≚≋$3362$)))","expression":"((↹⩛32551⨿↹⩛11422⊋(↹⩛41113⫥∨⫟↹⩛5543))⨌↪)⫌⩉⩟(⪡⇡≛(↹⩛23220⊉↱≁↹⩛33455≒∊(↹⩛11425⨔≚≋↹⩛23322)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35666,"operation_count":9,"complexity_ratio":3962.8888888888887,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4531,"base":6},"right_expr":{"type":"numeric_atoms","value":1670,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5445,"base":6},"right_expr":{"type":"numeric_atoms","value":1287,"base":6}}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3324,"base":6},"right_expr":{"type":"numeric_atoms","value":4715,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1673,"base":6},"right_expr":{"type":"numeric_atoms","value":3362,"base":6}}}}},"used_operators":["XIIwhv8d0m","cWQsF5MvuD","W4tP9CfskL","abYXlopdE0","KYD54nUTWz","qL4PrbW1Dq","5KTvxBwnZo","w2P8NbNXyL","Z57zeUYC9z"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","8HhzD0ZcuI","rGHVDoGpnC","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"↹⩛-122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4531","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=4531, right_input=1670, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=5445","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=1287, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"number node, value=3324","layer":4},{"info":"number node, value=4715","layer":4},{"info":"compute binary expreesion, left_input=3324, right_input=4715, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=3836","layer":3},{"info":"number node, value=1673","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=3362, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=3836, right_input=9872, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3352","layer":2},{"info":"compute unary expreesion, input=-3352, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3352","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=-3352, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":6,"result_base":6,"text":"((↹⩛32551⨿↹⩛11422⊋(↹⩛41113⫥∨⫟↹⩛5543))⨌↪)⫌⩉⩟(⪡⇡≛(↹⩛23220⊉↱≁↹⩛33455≒∊(↹⩛11425⨔≚≋↹⩛23322)))=↹⩛-122","reverse_text":"↹⩛-122=((↹⩛32551⨿↹⩛11422⊋(↹⩛41113⫥∨⫟↹⩛5543))⨌↪)⫌⩉⩟(⪡⇡≛(↹⩛23220⊉↱≁↹⩛33455≒∊(↹⩛11425⨔≚≋↹⩛23322)))","cot":[{"info":"↹⩛32551⨿↹⩛11422=↹⩛-1251","layer":3},{"info":"↹⩛41113⫥∨⫟↹⩛5543=NaN","layer":3},{"info":"↹⩛-1251⊋NaN=NaN","layer":2},{"info":"NaN⨌↪=↹⩛-2120","layer":1},{"info":"↹⩛23220⊉↱≁↹⩛33455=↹⩛25432","layer":3},{"info":"↹⩛11425⨔≚≋↹⩛23322=↹⩛113412","layer":3},{"info":"↹⩛25432≒∊↹⩛113412=↹⩛-23304","layer":2},{"info":"⪡⇡≛↹⩛-23304=↹⩛-23304","layer":1},{"info":"↹⩛-2120⫌⩉⩟↹⩛-23304=↹⩛-122","layer":0}]} +{"id":980,"expression_no_base_symbol":"(($1236$⩧⪆$1163$)⋥⋵⩄($9561$⨪↰⇹$5397$))↹⊜((⇉-⫰$1707$)⇮⋭$4211$⩇∃⫛$3721$)⪇≇⋚(($3381$⫚↹⊑$5683$)⫃⨇($6019$∕⩚$2741$))⊉↱≁(($2103$⇮⋭$1292$)↡⊰⫅$3555$≎⪠$6168$)","expression":"((↹⩛5420⩧⪆↹⩛5215)⋥⋵⩄(↹⩛112133⨪↰⇹↹⩛40553))↹⊜((⇉-⫰↹⩛11523)⇮⋭↹⩛31255⩇∃⫛↹⩛25121)⪇≇⋚((↹⩛23353⫚↹⊑↹⩛42151)⫃⨇(↹⩛43511∕⩚↹⩛20405))⊉↱≁((↹⩛13423⇮⋭↹⩛5552)↡⊰⫅↹⩛24243≎⪠↹⩛44320)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":308800,"operation_count":15,"complexity_ratio":20586.666666666668,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1236,"base":6},"right_expr":{"type":"numeric_atoms","value":1163,"base":6}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":9561,"base":6},"right_expr":{"type":"numeric_atoms","value":5397,"base":6}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1707,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4211,"base":6},"right_expr":{"type":"numeric_atoms","value":3721,"base":6}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3381,"base":6},"right_expr":{"type":"numeric_atoms","value":5683,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6019,"base":6},"right_expr":{"type":"numeric_atoms","value":2741,"base":6}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2103,"base":6},"right_expr":{"type":"numeric_atoms","value":1292,"base":6}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3555,"base":6},"right_expr":{"type":"numeric_atoms","value":6168,"base":6}}}}},"used_operators":["3sJ7IOPOlU","9bazX3JMtO","7t3wd0Fuz7","Ikt5ks8PT7","tmPS8pqC7x","vkpjKywKVM","IGFM8TAlm9","1aApVXNlOP","w2P8NbNXyL","09Ly4LVMIf","dfKe02y8D2","z9ffQ9n5Zr","VCtxkLNOzz","aNhz54LH3e"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1236","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1163, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1163","layer":3},{"info":"number node, value=9561","layer":4},{"info":"number node, value=5397","layer":4},{"info":"compute binary expreesion, left_input=9561, right_input=5397, 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=9561","layer":3},{"info":"compute binary expreesion, left_input=-1163, right_input=9561, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=1707","layer":4},{"info":"compute unary expreesion, input=1707, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=4211","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=4211, right_input=3721, 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=-17","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-17, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=12736","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=12736, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-101984","layer":1},{"info":"number node, value=3381","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=5683, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=6019","layer":4},{"info":"number node, value=2741","layer":4},{"info":"compute binary expreesion, left_input=6019, right_input=2741, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6022","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-6022, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=24056","layer":2},{"info":"number node, value=2103","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=1292, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3555","layer":4},{"info":"number node, value=6168","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=6168, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=19558, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=39116","layer":2},{"info":"compute binary expreesion, left_input=24056, right_input=39116, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=4750","layer":1},{"info":"compute binary expreesion, left_input=-101984, right_input=4750, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5420⩧⪆↹⩛5215)⋥⋵⩄(↹⩛112133⨪↰⇹↹⩛40553))↹⊜((⇉-⫰↹⩛11523)⇮⋭↹⩛31255⩇∃⫛↹⩛25121)⪇≇⋚((↹⩛23353⫚↹⊑↹⩛42151)⫃⨇(↹⩛43511∕⩚↹⩛20405))⊉↱≁((↹⩛13423⇮⋭↹⩛5552)↡⊰⫅↹⩛24243≎⪠↹⩛44320)=↹⩛0","reverse_text":"↹⩛0=((↹⩛5420⩧⪆↹⩛5215)⋥⋵⩄(↹⩛112133⨪↰⇹↹⩛40553))↹⊜((⇉-⫰↹⩛11523)⇮⋭↹⩛31255⩇∃⫛↹⩛25121)⪇≇⋚((↹⩛23353⫚↹⊑↹⩛42151)⫃⨇(↹⩛43511∕⩚↹⩛20405))⊉↱≁((↹⩛13423⇮⋭↹⩛5552)↡⊰⫅↹⩛24243≎⪠↹⩛44320)","cot":[{"info":"↹⩛5420⩧⪆↹⩛5215=↹⩛-5215","layer":3},{"info":"↹⩛112133⨪↰⇹↹⩛40553=↹⩛112133","layer":3},{"info":"↹⩛-5215⋥⋵⩄↹⩛112133=↹⩛305","layer":2},{"info":"⇉-⫰↹⩛11523=↹⩛32","layer":3},{"info":"↹⩛31255⩇∃⫛↹⩛25121=↹⩛-25","layer":3},{"info":"↹⩛32⇮⋭↹⩛-25=↹⩛134544","layer":2},{"info":"↹⩛305↹⊜↹⩛134544=↹⩛-2104052","layer":1},{"info":"↹⩛23353⫚↹⊑↹⩛42151=↹⩛-2023","layer":3},{"info":"↹⩛43511∕⩚↹⩛20405=↹⩛-43514","layer":3},{"info":"↹⩛-2023⫃⨇↹⩛-43514=↹⩛303212","layer":2},{"info":"↹⩛13423⇮⋭↹⩛5552=↹⩛-2105","layer":3},{"info":"↹⩛24243≎⪠↹⩛44320=↹⩛230314","layer":3},{"info":"↹⩛-2105↡⊰⫅↹⩛230314=↹⩛501032","layer":2},{"info":"↹⩛303212⊉↱≁↹⩛501032=↹⩛33554","layer":1},{"info":"↹⩛-2104052⪇≇⋚↹⩛33554=↹⩛0","layer":0}]} +{"id":981,"expression_no_base_symbol":"(($2222$↳∿⪆$2931$)≴⪞⇿($2607$⨐⩸⫘$6025$)⨳⩥⨓(($2310$⇍⊗$3899$)⩉⊫⨁))⊱⇼⊻(⨝⨆((⊿$3558$)-(⨆≐≲$4253$)))","expression":"((↹⩛14142↳∿⪆↹⩛21323)≴⪞⇿(↹⩛20023⨐⩸⫘↹⩛43521)⨳⩥⨓((↹⩛14410⇍⊗↹⩛30015)⩉⊫⨁))⊱⇼⊻(⨝⨆((⊿↹⩛24250)-(⨆≐≲↹⩛31405)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2655,"operation_count":11,"complexity_ratio":241.36363636363637,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2222,"base":6},"right_expr":{"type":"numeric_atoms","value":2931,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2607,"base":6},"right_expr":{"type":"numeric_atoms","value":6025,"base":6}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2310,"base":6},"right_expr":{"type":"numeric_atoms","value":3899,"base":6}}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3558,"base":6}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4253,"base":6}}}}},"used_operators":["FyVja0WsTP","nCS4ZIUYfx","lvlrscuwVU","Cw4SuJJGHO","fu6greOZ01","7qqUquhhSb","5uvYHDjeKN","bQ67fsrMVf","rysDP5nf3Z","DO4fhlbJSI","Bi9z9uYZqW"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","3ViojmjbAp","7j4O788W3g","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","tifHPKVTfV","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2222","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=2931, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2607","layer":4},{"info":"number node, value=6025","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=6025, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=2310","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=3899, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=3558","layer":4},{"info":"compute unary expreesion, input=3558, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-14970","layer":3},{"info":"number node, value=4253","layer":4},{"info":"compute unary expreesion, input=4253, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=46211352","layer":3},{"info":"compute binary expreesion, left_input=-14970, right_input=46211352, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-46226322","layer":2},{"info":"compute unary expreesion, input=-46226322, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-46226531","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-46226531, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛14142↳∿⪆↹⩛21323)≴⪞⇿(↹⩛20023⨐⩸⫘↹⩛43521)⨳⩥⨓((↹⩛14410⇍⊗↹⩛30015)⩉⊫⨁))⊱⇼⊻(⨝⨆((⊿↹⩛24250)-(⨆≐≲↹⩛31405)))=NaN","reverse_text":"NaN=((↹⩛14142↳∿⪆↹⩛21323)≴⪞⇿(↹⩛20023⨐⩸⫘↹⩛43521)⨳⩥⨓((↹⩛14410⇍⊗↹⩛30015)⩉⊫⨁))⊱⇼⊻(⨝⨆((⊿↹⩛24250)-(⨆≐≲↹⩛31405)))","cot":[{"info":"↹⩛14142↳∿⪆↹⩛21323=NaN","layer":3},{"info":"↹⩛20023⨐⩸⫘↹⩛43521=NaN","layer":3},{"info":"NaN≴⪞⇿NaN=NaN","layer":2},{"info":"↹⩛14410⇍⊗↹⩛30015=↹⩛-1044","layer":3},{"info":"↹⩛-1044⩉⊫⨁=↹⩛-1044","layer":2},{"info":"NaN⨳⩥⨓↹⩛-1044=NaN","layer":1},{"info":"⊿↹⩛24250=↹⩛-153150","layer":3},{"info":"⨆≐≲↹⩛31405=↹⩛4330245240","layer":3},{"info":"↹⩛-153150-↹⩛4330245240=↹⩛-4330442430","layer":2},{"info":"⨝⨆↹⩛-4330442430=↹⩛-4330443415","layer":1},{"info":"NaN⊱⇼⊻↹⩛-4330443415=NaN","layer":0}]} +{"id":982,"expression_no_base_symbol":"(($2004$⨎⋸⪻)*$6883$⪛⫼$5503$⋻⩜⩜$4935$⪶≀⋏$7004$∙⊟(∓$2819$))∀⇚≩(⊀(⨦⪝$5887$)⪭(↩$5716$))","expression":"((↹⩛13140⨎⋸⪻)*↹⩛51511⪛⫼↹⩛41251⋻⩜⩜↹⩛34503⪶≀⋏↹⩛52232∙⊟(∓↹⩛21015))∀⇚≩(⊀(⨦⪝↹⩛43131)⪭(↩↹⩛42244))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5537008,"operation_count":12,"complexity_ratio":461417.3333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":2004,"base":6}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":6883,"base":6},"right_expr":{"type":"numeric_atoms","value":5503,"base":6}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4935,"base":6},"right_expr":{"type":"numeric_atoms","value":7004,"base":6}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2819,"base":6}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":5887,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5716,"base":6}}}}},"used_operators":["LRNGc0VcxI","oDCm7WA9JY","9HNa5Wba9A","Dk5vyLCiGd","hyuBjUqXlG","SxTAKzQCrw","zR4jO40bMj","OwUj7dcsQK","oPMjh9089D","j9kHMeSvPp","SUjycxNXIR","jLgFTUHLKL"],"dependent_operators":["X99M06cbEe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","IWmyXbctLI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","COABgblf1C","xUOZtlo3hN","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2004","layer":4},{"info":"compute unary expreesion, input=2004, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=4324","layer":3},{"info":"number node, value=6883","layer":4},{"info":"number node, value=5503","layer":4},{"info":"compute binary expreesion, left_input=6883, right_input=5503, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=4324, right_input=968, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4185632","layer":2},{"info":"number node, value=4935","layer":4},{"info":"number node, value=7004","layer":4},{"info":"compute binary expreesion, left_input=4935, right_input=7004, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-29045","layer":3},{"info":"number node, value=2819","layer":4},{"info":"compute unary expreesion, input=2819, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-47157","layer":3},{"info":"compute binary expreesion, left_input=-29045, right_input=-47157, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=393329","layer":2},{"info":"compute binary expreesion, left_input=4185632, right_input=393329, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8371264","layer":1},{"info":"number node, value=5887","layer":4},{"info":"compute unary expreesion, input=5887, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=5716","layer":4},{"info":"compute unary expreesion, input=5716, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42948","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=-42948, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1710","layer":2},{"info":"compute unary expreesion, input=1710, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6578","layer":1},{"info":"compute binary expreesion, left_input=8371264, right_input=6578, 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":6,"result_base":6,"text":"((↹⩛13140⨎⋸⪻)*↹⩛51511⪛⫼↹⩛41251⋻⩜⩜↹⩛34503⪶≀⋏↹⩛52232∙⊟(∓↹⩛21015))∀⇚≩(⊀(⨦⪝↹⩛43131)⪭(↩↹⩛42244))=NaN","reverse_text":"NaN=((↹⩛13140⨎⋸⪻)*↹⩛51511⪛⫼↹⩛41251⋻⩜⩜↹⩛34503⪶≀⋏↹⩛52232∙⊟(∓↹⩛21015))∀⇚≩(⊀(⨦⪝↹⩛43131)⪭(↩↹⩛42244))","cot":[{"info":"↹⩛13140⨎⋸⪻=↹⩛32004","layer":3},{"info":"↹⩛51511⪛⫼↹⩛41251=↹⩛4252","layer":3},{"info":"↹⩛32004*↹⩛4252=↹⩛225413532","layer":2},{"info":"↹⩛34503⪶≀⋏↹⩛52232=↹⩛-342245","layer":3},{"info":"∓↹⩛21015=↹⩛-1002153","layer":3},{"info":"↹⩛-342245∙⊟↹⩛-1002153=↹⩛12232545","layer":2},{"info":"↹⩛225413532⋻⩜⩜↹⩛12232545=↹⩛455231504","layer":1},{"info":"⨦⪝↹⩛43131=↹⩛-12420","layer":3},{"info":"↩↹⩛42244=↹⩛-530500","layer":3},{"info":"↹⩛-12420⪭↹⩛-530500=↹⩛11530","layer":2},{"info":"⊀↹⩛11530=↹⩛50242","layer":1},{"info":"↹⩛455231504∀⇚≩↹⩛50242=NaN","layer":0}]} +{"id":983,"expression_no_base_symbol":"($8178$↳∿⪆$2818$⋣⋖$3299$⨼⩣$1936$⫃⨇($1237$⫘$5597$)≎⪠(⪛⨧$6767$))⇴($5830$⪘⫢$2834$+(↥$1867$))↹⊜(≋$3075$)⫣⪄⊒($1563$⋣⋖$2805$)","expression":"(↹⩛101510↳∿⪆↹⩛21014⋣⋖↹⩛23135⨼⩣↹⩛12544⫃⨇(↹⩛5421⫘↹⩛41525)≎⪠(⪛⨧↹⩛51155))⇴(↹⩛42554⪘⫢↹⩛21042+(↥↹⩛12351))↹⊜(≋↹⩛22123)⫣⪄⊒(↹⩛11123⋣⋖↹⩛20553)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23493,"operation_count":15,"complexity_ratio":1566.2,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":8178,"base":6},"right_expr":{"type":"numeric_atoms","value":2818,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3299,"base":6},"right_expr":{"type":"numeric_atoms","value":1936,"base":6}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1237,"base":6},"right_expr":{"type":"numeric_atoms","value":5597,"base":6}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":6767,"base":6}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5830,"base":6},"right_expr":{"type":"numeric_atoms","value":2834,"base":6}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1867,"base":6}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3075,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1563,"base":6},"right_expr":{"type":"numeric_atoms","value":2805,"base":6}}}}},"used_operators":["4JB6nKBMSY","09Ly4LVMIf","J0M6qkBnIM","Cw4SuJJGHO","JxwMv5le6e","aNhz54LH3e","48vC8HMD2b","6NJAcO2OWT","9bazX3JMtO","W4YGzv6Whe","oacrs7FA3X","A8NUZmVepG","RabNbG55vr","61wBmkZwlr"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8178","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=8178, right_input=2818, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b���⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=3299","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=1936, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"number node, value=1237","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=5597, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1459117","layer":3},{"info":"number node, value=6767","layer":4},{"info":"compute unary expreesion, input=6767, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=14935","layer":3},{"info":"compute binary expreesion, left_input=1459117, right_input=14935, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=5830","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=5830, right_input=2834, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11536","layer":3},{"info":"number node, value=1867","layer":4},{"info":"compute unary expreesion, input=1867, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"compute binary expreesion, left_input=11536, right_input=31, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11567","layer":2},{"info":"number node, value=3075","layer":4},{"info":"compute unary expreesion, input=3075, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3075","layer":3},{"info":"number node, value=1563","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2805, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1563","layer":3},{"info":"compute binary expreesion, left_input=3075, right_input=1563, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3740","layer":2},{"info":"compute binary expreesion, left_input=11567, right_input=-3740, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=37998","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=37998, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛101510↳∿⪆↹⩛21014⋣⋖↹⩛23135⨼⩣↹⩛12544⫃⨇(↹⩛5421⫘↹⩛41525)≎⪠(⪛⨧↹⩛51155))⇴(↹⩛42554⪘⫢↹⩛21042+(↥↹⩛12351))↹⊜(≋↹⩛22123)⫣⪄⊒(↹⩛11123⋣⋖↹⩛20553)=NaN","reverse_text":"NaN=(↹⩛101510↳∿⪆↹⩛21014⋣⋖↹⩛23135⨼⩣↹⩛12544⫃⨇(↹⩛5421⫘↹⩛41525)≎⪠(⪛⨧↹⩛51155))⇴(↹⩛42554⪘⫢↹⩛21042+(↥↹⩛12351))↹⊜(≋↹⩛22123)⫣⪄⊒(↹⩛11123⋣⋖↹⩛20553)","cot":[{"info":"↹⩛101510↳∿⪆↹⩛21014=NaN","layer":3},{"info":"↹⩛23135⨼⩣↹⩛12544=NaN","layer":3},{"info":"NaN⋣⋖NaN=NaN","layer":2},{"info":"↹⩛5421⫘↹⩛41525=↹⩛51135101","layer":3},{"info":"⪛⨧↹⩛51155=↹⩛153051","layer":3},{"info":"↹⩛51135101≎⪠↹⩛153051=↹⩛230314","layer":2},{"info":"NaN⫃⨇↹⩛230314=NaN","layer":1},{"info":"↹⩛42554⪘⫢↹⩛21042=↹⩛125224","layer":3},{"info":"↥↹⩛12351=↹⩛51","layer":3},{"info":"↹⩛125224+↹⩛51=↹⩛125315","layer":2},{"info":"≋↹⩛22123=↹⩛22123","layer":3},{"info":"↹⩛11123⋣⋖↹⩛20553=↹⩛11123","layer":3},{"info":"↹⩛22123⫣⪄⊒↹⩛11123=↹⩛-25152","layer":2},{"info":"↹⩛125315↹⊜↹⩛-25152=↹⩛451530","layer":1},{"info":"NaN⇴↹⩛451530=NaN","layer":0}]} +{"id":984,"expression_no_base_symbol":"⋎⨆($1056$⊲⩕⊾$1609$/$2674$≴⪞⇿$4415$)*($1712$≄⊠$1437$)⨜⨶(⪹$3502$)","expression":"⋎⨆(↹⩛4520⊲⩕⊾↹⩛11241/↹⩛20214≴⪞⇿↹⩛32235)*(↹⩛11532≄⊠↹⩛10353)⨜⨶(⪹↹⩛24114)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2784,"operation_count":8,"complexity_ratio":348.0,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1056,"base":6},"right_expr":{"type":"numeric_atoms","value":1609,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2674,"base":6},"right_expr":{"type":"numeric_atoms","value":4415,"base":6}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1712,"base":6},"right_expr":{"type":"numeric_atoms","value":1437,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3502,"base":6}}}}},"used_operators":["E64sFOc4tB","9HNa5Wba9A","XhwjNDsVaA","DmTXOeWf9t","lvlrscuwVU","HiPekx5b7W","vXNesLlMH1","USyYr0JgAa"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","tifHPKVTfV"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1056","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1609, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-29616","layer":3},{"info":"number node, value=2674","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=4415, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=11529836","layer":3},{"info":"compute binary expreesion, left_input=-29616, right_input=11529836, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1712","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1437, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=27660","layer":3},{"info":"number node, value=3502","layer":4},{"info":"compute unary expreesion, input=3502, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3322","layer":3},{"info":"compute binary expreesion, left_input=27660, right_input=-3322, 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=257451","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=257451, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-257451","layer":1},{"info":"compute unary expreesion, input=-257451, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⋎⨆(↹⩛4520⊲⩕⊾↹⩛11241/↹⩛20214≴⪞⇿↹⩛32235)*(↹⩛11532≄⊠↹⩛10353)⨜⨶(⪹↹⩛24114)=↹⩛454202000","reverse_text":"↹⩛454202000=⋎⨆(↹⩛4520⊲⩕⊾↹⩛11241/↹⩛20214≴⪞⇿↹⩛32235)*(↹⩛11532≄⊠↹⩛10353)⨜⨶(⪹↹⩛24114)","cot":[{"info":"↹⩛4520⊲⩕⊾↹⩛11241=↹⩛-345040","layer":3},{"info":"↹⩛20214≴⪞⇿↹⩛32235=↹⩛1051042512","layer":3},{"info":"↹⩛-345040/↹⩛1051042512=↹⩛-1","layer":2},{"info":"↹⩛11532≄⊠↹⩛10353=↹⩛332020","layer":3},{"info":"⪹↹⩛24114=↹⩛-23214","layer":3},{"info":"↹⩛332020⨜⨶↹⩛-23214=↹⩛5303523","layer":2},{"info":"↹⩛-1*↹⩛5303523=↹⩛-5303523","layer":1},{"info":"⋎⨆↹⩛-5303523=↹⩛454202000","layer":0}]} +{"id":985,"expression_no_base_symbol":"(((⇺⋃$2554$)⨲)⊭↱$2351$⫰⋱$2836$⋥≓≎(≉$7135$))↑","expression":"(((⇺⋃↹⩛15454)⨲)⊭↱↹⩛14515⫰⋱↹⩛21044⋥≓≎(≉↹⩛53011))↑","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5210,"operation_count":7,"complexity_ratio":744.2857142857143,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2554,"base":6}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2351,"base":6},"right_expr":{"type":"numeric_atoms","value":2836,"base":6}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7135,"base":6}}}}},"used_operators":["BThhyOhh10","COABgblf1C","nLYMGWM7L8","E5v5B3UAjG","Qy55tPpLXF","6o9Blt3TJ6","e1ybzncUwg"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛1010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2554","layer":4},{"info":"compute unary expreesion, input=2554, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=2351","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=2836, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2318","layer":3},{"info":"number node, value=7135","layer":4},{"info":"compute unary expreesion, input=7135, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7666","layer":3},{"info":"compute binary expreesion, left_input=-2318, right_input=7666, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=67, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9367279","layer":1},{"info":"compute unary expreesion, input=-9367279, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":6,"result_base":6,"text":"(((⇺⋃↹⩛15454)⨲)⊭↱↹⩛14515⫰⋱↹⩛21044⋥≓≎(≉↹⩛53011))↑=↹⩛1010","reverse_text":"↹⩛1010=(((⇺⋃↹⩛15454)⨲)⊭↱↹⩛14515⫰⋱↹⩛21044⋥≓≎(≉↹⩛53011))↑","cot":[{"info":"⇺⋃↹⩛15454=NaN","layer":3},{"info":"NaN⨲=↹⩛244215501","layer":2},{"info":"↹⩛14515⫰⋱↹⩛21044=↹⩛-14422","layer":3},{"info":"≉↹⩛53011=↹⩛55254","layer":3},{"info":"↹⩛-14422⋥≓≎↹⩛55254=↹⩛151","layer":2},{"info":"↹⩛244215501⊭↱↹⩛151=↹⩛-532435011","layer":1},{"info":"↹⩛-532435011↑=↹⩛1010","layer":0}]} +{"id":986,"expression_no_base_symbol":"(⩦⩻⨪(($6682$+⪬∐$2932$)↓⨍⋜))+⪬∐(($7685$⫔⩽⩺$3874$)⨰$1120$⫗⊷⫓$2819$)⊢($2586$⨐⩸⫘$9202$⨵⪆$4579$∺≝⩲$2147$)","expression":"(⩦⩻⨪((↹⩛50534+⪬∐↹⩛21324)↓⨍⋜))+⪬∐((↹⩛55325⫔⩽⩺↹⩛25534)⨰↹⩛5104⫗⊷⫓↹⩛21015)⊢(↹⩛15550⨐⩸⫘↹⩛110334⨵⪆↹⩛33111∺≝⩲↹⩛13535)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2190024,"operation_count":11,"complexity_ratio":199093.0909090909,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6682,"base":6},"right_expr":{"type":"numeric_atoms","value":2932,"base":6}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7685,"base":6},"right_expr":{"type":"numeric_atoms","value":3874,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1120,"base":6},"right_expr":{"type":"numeric_atoms","value":2819,"base":6}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2586,"base":6},"right_expr":{"type":"numeric_atoms","value":9202,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4579,"base":6},"right_expr":{"type":"numeric_atoms","value":2147,"base":6}}}}},"used_operators":["2GS7woTJqF","2td37pGCOC","3DVzLFNsE9","5twsqlHp2o","eewbuw0ToL","i9eR4S00cU","zashukvMKz","2DQ55sFlQl","fu6greOZ01","KPf6cnQVty"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"↹⩛-212323330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6682","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=6682, right_input=2932, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-20046","layer":3},{"info":"compute unary expreesion, input=-20046, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=1253058","layer":2},{"info":"compute unary expreesion, input=1253058, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1253058","layer":1},{"info":"number node, value=7685","layer":4},{"info":"number node, value=3874","layer":4},{"info":"compute binary expreesion, left_input=7685, right_input=3874, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=2819, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2586","layer":4},{"info":"number node, value=9202","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=9202, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4579","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=4579, right_input=2147, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1253058, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3759174","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪((↹⩛50534+⪬∐↹⩛21324)↓⨍⋜))+⪬∐((↹⩛55325⫔⩽⩺↹⩛25534)⨰↹⩛5104⫗⊷⫓↹⩛21015)⊢(↹⩛15550⨐⩸⫘↹⩛110334⨵⪆↹⩛33111∺≝⩲↹⩛13535)=↹⩛-212323330","reverse_text":"↹⩛-212323330=(⩦⩻⨪((↹⩛50534+⪬∐↹⩛21324)↓⨍⋜))+⪬∐((↹⩛55325⫔⩽⩺↹⩛25534)⨰↹⩛5104⫗⊷⫓↹⩛21015)⊢(↹⩛15550⨐⩸⫘↹⩛110334⨵⪆↹⩛33111∺≝⩲↹⩛13535)","cot":[{"info":"↹⩛50534+⪬∐↹⩛21324=↹⩛-232450","layer":3},{"info":"↹⩛-232450↓⨍⋜=↹⩛42505110","layer":2},{"info":"⩦⩻⨪↹⩛42505110=↹⩛42505110","layer":1},{"info":"↹⩛55325⫔⩽⩺↹⩛25534=NaN","layer":3},{"info":"↹⩛5104⫗⊷⫓↹⩛21015=↹⩛-342","layer":3},{"info":"NaN⨰↹⩛-342=NaN","layer":2},{"info":"↹⩛15550⨐⩸⫘↹⩛110334=NaN","layer":3},{"info":"↹⩛33111∺≝⩲↹⩛13535=↹⩛424","layer":3},{"info":"NaN⨵⪆↹⩛424=↹⩛424","layer":2},{"info":"NaN⊢↹⩛424=NaN","layer":1},{"info":"↹⩛42505110+⪬∐NaN=↹⩛-212323330","layer":0}]} +{"id":987,"expression_no_base_symbol":"(⫖→$1210$⪭≯$1096$⨎$6220$⫗⊷⫓$2658$)⨟⋌⩍(($1072$≨$7345$⊬⫿⊭)↪⪝)","expression":"(⫖→↹⩛5334⪭≯↹⩛5024⨎↹⩛44444⫗⊷⫓↹⩛20150)⨟⋌⩍((↹⩛4544≨↹⩛54001⊬⫿⊭)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2065875,"operation_count":8,"complexity_ratio":258234.375,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1210,"base":6},"right_expr":{"type":"numeric_atoms","value":1096,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6220,"base":6},"right_expr":{"type":"numeric_atoms","value":2658,"base":6}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1072,"base":6},"right_expr":{"type":"numeric_atoms","value":7345,"base":6}}}}},"used_operators":["rGHVDoGpnC","U4ylXWHChL","rJVOvQCfKK","XAx5wpdLa6","zashukvMKz","l07mrZUIn9","v0DYgG9ikt","0KMCeP1Jsh"],"dependent_operators":["Tcnh7f0tEr","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9HNa5Wba9A","2DDjHMKMc0","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1096, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=6220","layer":4},{"info":"number node, value=2658","layer":4},{"info":"compute binary expreesion, left_input=6220, right_input=2658, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=1072","layer":4},{"info":"number node, value=7345","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=7345, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8244","layer":3},{"info":"compute unary expreesion, input=-8244, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=8456","layer":2},{"info":"compute unary expreesion, input=8456, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=517354992","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=517354992, 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":6,"result_base":6,"text":"(⫖→↹⩛5334⪭≯↹⩛5024⨎↹⩛44444⫗⊷⫓↹⩛20150)⨟⋌⩍((↹⩛4544≨↹⩛54001⊬⫿⊭)↪⪝)=NaN","reverse_text":"NaN=(⫖→↹⩛5334⪭≯↹⩛5024⨎↹⩛44444⫗⊷⫓↹⩛20150)⨟⋌⩍((↹⩛4544≨↹⩛54001⊬⫿⊭)↪⪝)","cot":[{"info":"↹⩛5334⪭≯↹⩛5024=NaN","layer":3},{"info":"↹⩛44444⫗⊷⫓↹⩛20150=↹⩛-342","layer":3},{"info":"NaN⨎↹⩛-342=↹⩛-342","layer":2},{"info":"⫖→↹⩛-342=↹⩛453","layer":1},{"info":"↹⩛4544≨↹⩛54001=↹⩛-102100","layer":3},{"info":"↹⩛-102100⊬⫿⊭=↹⩛103052","layer":2},{"info":"↹⩛103052↪⪝=↹⩛123200414000","layer":1},{"info":"↹⩛453⨟⋌⩍↹⩛123200414000=NaN","layer":0}]} +{"id":988,"expression_no_base_symbol":"(($1241$⨸$2919$≓∲($2695$⩨$1825$))⩧⪆(($1286$⫯⪬∳$1968$)⫑%∭))⩣⫁∢(($4911$⇍⊗$5467$)↹⊜($1574$⩧⪆$1568$)∙∹∝($2120$⨚$1167$)⫉⨲⊜$1021$⊕∕$1117$)","expression":"((↹⩛5425⨸↹⩛21303≓∲(↹⩛20251⩨↹⩛12241))⩧⪆((↹⩛5542⫯⪬∳↹⩛13040)⫑%∭))⩣⫁∢((↹⩛34423⇍⊗↹⩛41151)↹⊜(↹⩛11142⩧⪆↹⩛11132)∙∹∝(↹⩛13452⨚↹⩛5223)⫉⨲⊜↹⩛4421⊕∕↹⩛5101)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2518,"operation_count":14,"complexity_ratio":179.85714285714286,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1241,"base":6},"right_expr":{"type":"numeric_atoms","value":2919,"base":6}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2695,"base":6},"right_expr":{"type":"numeric_atoms","value":1825,"base":6}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1286,"base":6},"right_expr":{"type":"numeric_atoms","value":1968,"base":6}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4911,"base":6},"right_expr":{"type":"numeric_atoms","value":5467,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1574,"base":6},"right_expr":{"type":"numeric_atoms","value":1568,"base":6}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2120,"base":6},"right_expr":{"type":"numeric_atoms","value":1167,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1021,"base":6},"right_expr":{"type":"numeric_atoms","value":1117,"base":6}}}}},"used_operators":["JDUIKTTSIa","Ikt5ks8PT7","s1XTVnmDOJ","KmoU8R5UQR","2DlMacCsIx","xUx7qlDO4z","d7ASUq0ydm","HmxsFra2vL","9bazX3JMtO","5uvYHDjeKN","WhqkvtTD3t","nREPSIbpBE","9cloC0Ngie"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eewbuw0ToL","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eewbuw0ToL","zVYPLywUTj","BjRHVeLaeN","12rbrZMWeM","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=2919, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2482","layer":3},{"info":"number node, value=2695","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=1825, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2482, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-127649","layer":2},{"info":"number node, value=1286","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1968, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4495","layer":3},{"info":"compute unary expreesion, input=4495, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-127649, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=4911","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=4911, right_input=5467, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1568, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1568","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-1568, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=12448","layer":2},{"info":"number node, value=2120","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=1167, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=506","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1117, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1021","layer":3},{"info":"compute binary expreesion, left_input=506, right_input=1021, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12448, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"((↹⩛5425⨸↹⩛21303≓∲(↹⩛20251⩨↹⩛12241))⩧⪆((↹⩛5542⫯⪬∳↹⩛13040)⫑%∭))⩣⫁∢((↹⩛34423⇍⊗↹⩛41151)↹⊜(↹⩛11142⩧⪆↹⩛11132)∙∹∝(↹⩛13452⨚↹⩛5223)⫉⨲⊜↹⩛4421⊕∕↹⩛5101)=NaN","reverse_text":"NaN=((↹⩛5425⨸↹⩛21303≓∲(↹⩛20251⩨↹⩛12241))⩧⪆((↹⩛5542⫯⪬∳↹⩛13040)⫑%∭))⩣⫁∢((↹⩛34423⇍⊗↹⩛41151)↹⊜(↹⩛11142⩧⪆↹⩛11132)∙∹∝(↹⩛13452⨚↹⩛5223)⫉⨲⊜↹⩛4421⊕∕↹⩛5101)","cot":[{"info":"↹⩛5425⨸↹⩛21303=↹⩛15254","layer":3},{"info":"↹⩛20251⩨↹⩛12241=↹⩛0","layer":3},{"info":"↹⩛15254≓∲↹⩛0=↹⩛-2422545","layer":2},{"info":"↹⩛5542⫯⪬∳↹⩛13040=↹⩛32451","layer":3},{"info":"↹⩛32451⫑%∭=NaN","layer":2},{"info":"↹⩛-2422545⩧⪆NaN=NaN","layer":1},{"info":"↹⩛34423⇍⊗↹⩛41151=↹⩛-1044","layer":3},{"info":"↹⩛11142⩧⪆↹⩛11132=↹⩛-11132","layer":3},{"info":"↹⩛-1044↹⊜↹⩛-11132=↹⩛133344","layer":2},{"info":"↹⩛13452⨚↹⩛5223=↹⩛2202","layer":3},{"info":"↹⩛4421⊕∕↹⩛5101=↹⩛4421","layer":3},{"info":"↹⩛2202⫉⨲⊜↹⩛4421=↹⩛0","layer":2},{"info":"↹⩛133344∙∹∝↹⩛0=↹⩛0","layer":1},{"info":"NaN⩣⫁∢↹⩛0=NaN","layer":0}]} +{"id":989,"expression_no_base_symbol":"(∤↝$1434$⇂≾⫗$6895$)⊔$4526$⨿$2228$∇⊂⋱(⫖→$3131$)⇼⇔∾($2350$⨚⇆$3408$⨑≵⋬(⪡⇡≛$1455$))+⪬∐($3014$⇷$2171$≎⊠⪸(≸$2179$))","expression":"(∤↝↹⩛10350⇂≾⫗↹⩛51531)⊔↹⩛32542⨿↹⩛14152∇⊂⋱(⫖→↹⩛22255)⇼⇔∾(↹⩛14514⨚⇆↹⩛23440⨑≵⋬(⪡⇡≛↹⩛10423))+⪬∐(↹⩛21542⇷↹⩛14015≎⊠⪸(≸↹⩛14031))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62703,"operation_count":14,"complexity_ratio":4478.785714285715,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1434,"base":6},"right_expr":{"type":"numeric_atoms","value":6895,"base":6}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4526,"base":6},"right_expr":{"type":"numeric_atoms","value":2228,"base":6}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":3131,"base":6}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2350,"base":6},"right_expr":{"type":"numeric_atoms","value":3408,"base":6}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1455,"base":6}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3014,"base":6},"right_expr":{"type":"numeric_atoms","value":2171,"base":6}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2179,"base":6}}}}},"used_operators":["tifHPKVTfV","E4l6HwMY31","3UMq87Qwqg","aBQ6xLxuTc","nhYeJWJD5X","abYXlopdE0","U4ylXWHChL","2GS7woTJqF","XnXgA4xnOs","lwHaAYXP2r","qL4PrbW1Dq","bJkvcejdHO","mp7IySMOzn","eOf03JbCpp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","g55IO6H4Gj","D4vGDi5EA2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"number node, value=6895","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=6895, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-676","layer":2},{"info":"number node, value=4526","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=2228, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3131","layer":4},{"info":"compute unary expreesion, input=3131, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=177, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-354","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=-354, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=4067","layer":1},{"info":"number node, value=2350","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=3408, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1455","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1455, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=3014","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=2171, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4342","layer":3},{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=4342, right_input=58, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1124105","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1124105, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4067, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∤↝↹⩛10350⇂≾⫗↹⩛51531)⊔↹⩛32542⨿↹⩛14152∇⊂⋱(⫖→↹⩛22255)⇼⇔∾(↹⩛14514⨚⇆↹⩛23440⨑≵⋬(⪡⇡≛↹⩛10423))+⪬∐(↹⩛21542⇷↹⩛14015≎⊠⪸(≸↹⩛14031))=NaN","reverse_text":"NaN=(∤↝↹⩛10350⇂≾⫗↹⩛51531)⊔↹⩛32542⨿↹⩛14152∇⊂⋱(⫖→↹⩛22255)⇼⇔∾(↹⩛14514⨚⇆↹⩛23440⨑≵⋬(⪡⇡≛↹⩛10423))+⪬∐(↹⩛21542⇷↹⩛14015≎⊠⪸(≸↹⩛14031))","cot":[{"info":"↹⩛10350⇂≾⫗↹⩛51531=↹⩛-3044","layer":3},{"info":"∤↝↹⩛-3044=↹⩛-3044","layer":2},{"info":"↹⩛32542⨿↹⩛14152=↹⩛-1251","layer":3},{"info":"⫖→↹⩛22255=↹⩛453","layer":3},{"info":"↹⩛-1251∇⊂⋱↹⩛453=↹⩛-1350","layer":2},{"info":"↹⩛-3044⊔↹⩛-1350=↹⩛30455","layer":1},{"info":"↹⩛14514⨚⇆↹⩛23440=NaN","layer":3},{"info":"⪡⇡≛↹⩛10423=↹⩛-10423","layer":3},{"info":"NaN⨑≵⋬↹⩛-10423=NaN","layer":2},{"info":"↹⩛21542⇷↹⩛14015=↹⩛32034","layer":3},{"info":"≸↹⩛14031=↹⩛134","layer":3},{"info":"↹⩛32034≎⊠⪸↹⩛134=↹⩛40032105","layer":2},{"info":"NaN+⪬∐↹⩛40032105=NaN","layer":1},{"info":"↹⩛30455⇼⇔∾NaN=NaN","layer":0}]} +{"id":990,"expression_no_base_symbol":"⋗⩴⪓($2887$⊋$7313$)⪒⊣⊆$1668$⨿$1135$⪥(≇⪴($1418$⪔$3860$))","expression":"⋗⩴⪓(↹⩛21211⊋↹⩛53505)⪒⊣⊆↹⩛11420⨿↹⩛5131⪥(≇⪴(↹⩛10322⪔↹⩛25512))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13037,"operation_count":7,"complexity_ratio":1862.4285714285713,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2887,"base":6},"right_expr":{"type":"numeric_atoms","value":7313,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1668,"base":6},"right_expr":{"type":"numeric_atoms","value":1135,"base":6}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1418,"base":6},"right_expr":{"type":"numeric_atoms","value":3860,"base":6}}}}},"used_operators":["nOKPl9n5zu","QbnwKVWMIQ","eRqsBgTDFp","W4tP9CfskL","abYXlopdE0","zoVPnxeHJ3","GjBEYRfMaF"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","W4YGzv6Whe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"↹⩛44512","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2887","layer":4},{"info":"number node, value=7313","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=7313, 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=-253831820","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=1135, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-253831820, right_input=-319, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=507663104","layer":2},{"info":"number node, value=1418","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=3860, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-10","layer":2},{"info":"compute binary expreesion, left_input=507663104, right_input=-10, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"compute unary expreesion, input=-116, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=6236","layer":0}],"base":6,"result_base":6,"text":"⋗⩴⪓(↹⩛21211⊋↹⩛53505)⪒⊣⊆↹⩛11420⨿↹⩛5131⪥(≇⪴(↹⩛10322⪔↹⩛25512))=↹⩛44512","reverse_text":"↹⩛44512=⋗⩴⪓(↹⩛21211⊋↹⩛53505)⪒⊣⊆↹⩛11420⨿↹⩛5131⪥(≇⪴(↹⩛10322⪔↹⩛25512))","cot":[{"info":"↹⩛21211⊋↹⩛53505=↹⩛-41104255152","layer":3},{"info":"↹⩛11420⨿↹⩛5131=↹⩛-1251","layer":3},{"info":"↹⩛-41104255152⪒⊣⊆↹⩛-1251=↹⩛122212552052","layer":2},{"info":"↹⩛10322⪔↹⩛25512=↹⩛2030","layer":3},{"info":"≇⪴↹⩛2030=↹⩛-14","layer":2},{"info":"↹⩛122212552052⪥↹⩛-14=↹⩛-312","layer":1},{"info":"⋗⩴⪓↹⩛-312=↹⩛44512","layer":0}]} +{"id":991,"expression_no_base_symbol":"(∓($7167$⫦⪉$3890$)∇⊂⋱($4446$⨘))⩇∃⫛((⫡⇟⇯$6506$)≠≀($4195$⫲≸⪮$5391$)⪔($1136$⫗⊷⫓$2723$⨔≚≋$3256$⩦$3210$))","expression":"(∓(↹⩛53103⫦⪉↹⩛30002)∇⊂⋱(↹⩛32330⨘))⩇∃⫛((⫡⇟⇯↹⩛50042)≠≀(↹⩛31231⫲≸⪮↹⩛40543)⪔(↹⩛5132⫗⊷⫓↹⩛20335⨔≚≋↹⩛23024⩦↹⩛22510))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2176664,"operation_count":12,"complexity_ratio":181388.66666666666,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7167,"base":6},"right_expr":{"type":"numeric_atoms","value":3890,"base":6}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":4446,"base":6}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":6506,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4195,"base":6},"right_expr":{"type":"numeric_atoms","value":5391,"base":6}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1136,"base":6},"right_expr":{"type":"numeric_atoms","value":2723,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3256,"base":6},"right_expr":{"type":"numeric_atoms","value":3210,"base":6}}}}},"used_operators":["1aApVXNlOP","OwUj7dcsQK","nhYeJWJD5X","wscyQdcy20","ljcfZBUpm8","GjBEYRfMaF","IwW236VD4Y","qWUSsah53b","P3lXMJvFrc","Z57zeUYC9z","zashukvMKz","0kmYd0q39Y"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DZ8iAZOCBD","P8v4zCKN1o","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛-32340410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7167","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=7167, right_input=3890, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9434","layer":3},{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-31897","layer":3},{"info":"compute binary expreesion, left_input=-9434, right_input=-31897, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=63794","layer":2},{"info":"compute unary expreesion, input=63794, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-961782","layer":1},{"info":"number node, value=6506","layer":4},{"info":"compute unary expreesion, input=6506, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=13880","layer":3},{"info":"number node, value=4195","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=4195, right_input=5391, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4195","layer":3},{"info":"compute binary expreesion, left_input=13880, right_input=4195, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-27454","layer":2},{"info":"number node, value=1136","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2723, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3256","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=3210, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6512","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=6512, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-52712","layer":2},{"info":"compute binary expreesion, left_input=-27454, right_input=-52712, 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=-961782, right_input=450, 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=-961782","layer":0}],"base":6,"result_base":6,"text":"(∓(↹⩛53103⫦⪉↹⩛30002)∇⊂⋱(↹⩛32330⨘))⩇∃⫛((⫡⇟⇯↹⩛50042)≠≀(↹⩛31231⫲≸⪮↹⩛40543)⪔(↹⩛5132⫗⊷⫓↹⩛20335⨔≚≋↹⩛23024⩦↹⩛22510))=↹⩛-32340410","reverse_text":"↹⩛-32340410=(∓(↹⩛53103⫦⪉↹⩛30002)∇⊂⋱(↹⩛32330⨘))⩇∃⫛((⫡⇟⇯↹⩛50042)≠≀(↹⩛31231⫲≸⪮↹⩛40543)⪔(↹⩛5132⫗⊷⫓↹⩛20335⨔≚≋↹⩛23024⩦↹⩛22510))","cot":[{"info":"↹⩛53103⫦⪉↹⩛30002=↹⩛-111402","layer":3},{"info":"↹⩛32330⨘=↹⩛-403401","layer":3},{"info":"↹⩛-111402∇⊂⋱↹⩛-403401=↹⩛1211202","layer":2},{"info":"∓↹⩛1211202=↹⩛-32340410","layer":1},{"info":"⫡⇟⇯↹⩛50042=↹⩛144132","layer":3},{"info":"↹⩛31231⫲≸⪮↹⩛40543=↹⩛31231","layer":3},{"info":"↹⩛144132≠≀↹⩛31231=↹⩛-331034","layer":2},{"info":"↹⩛5132⫗⊷⫓↹⩛20335=↹⩛-342","layer":3},{"info":"↹⩛23024⩦↹⩛22510=↹⩛50052","layer":3},{"info":"↹⩛-342⨔≚≋↹⩛50052=↹⩛-1044012","layer":2},{"info":"↹⩛-331034⪔↹⩛-1044012=↹⩛2030","layer":1},{"info":"↹⩛-32340410⩇∃⫛↹⩛2030=↹⩛-32340410","layer":0}]} +{"id":992,"expression_no_base_symbol":"(⋂($6330$⪇≇⋚$1760$⨁⊸⫻))⩦((⨆≐≲$2486$⪝$1300$)∴≳≥)","expression":"(⋂(↹⩛45150⪇≇⋚↹⩛12052⨁⊸⫻))⩦((⨆≐≲↹⩛15302⪝↹⩛10004)∴≳≥)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":582,"operation_count":7,"complexity_ratio":83.14285714285714,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6330,"base":6},"right_expr":{"type":"numeric_atoms","value":1760,"base":6}}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2486,"base":6},"right_expr":{"type":"numeric_atoms","value":1300,"base":6}}}}},"used_operators":["0kmYd0q39Y","BUOGQAYlQx","glklzrTFfD","3sJ7IOPOlU","a3N2hFLK0J","Bi9z9uYZqW","wicAB68Tmb"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"↹⩛5304","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6330","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=6330, right_input=1760, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=596","layer":1},{"info":"number node, value=2486","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=1300, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5143","layer":3},{"info":"compute unary expreesion, input=-5143, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute unary expreesion, input=-168548, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-674192","layer":1},{"info":"compute binary expreesion, left_input=596, right_input=-674192, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=1192","layer":0}],"base":6,"result_base":6,"text":"(⋂(↹⩛45150⪇≇⋚↹⩛12052⨁⊸⫻))⩦((⨆≐≲↹⩛15302⪝↹⩛10004)∴≳≥)=↹⩛5304","reverse_text":"↹⩛5304=(⋂(↹⩛45150⪇≇⋚↹⩛12052⨁⊸⫻))⩦((⨆≐≲↹⩛15302⪝↹⩛10004)∴≳≥)","cot":[{"info":"↹⩛45150⪇≇⋚↹⩛12052=↹⩛0","layer":3},{"info":"↹⩛0⨁⊸⫻=↹⩛0","layer":2},{"info":"⋂↹⩛0=↹⩛2432","layer":1},{"info":"↹⩛15302⪝↹⩛10004=↹⩛-35451","layer":3},{"info":"⨆≐≲↹⩛-35451=↹⩛-3340152","layer":2},{"info":"↹⩛-3340152∴≳≥=↹⩛-22241132","layer":1},{"info":"↹⩛2432⩦↹⩛-22241132=↹⩛5304","layer":0}]} +{"id":993,"expression_no_base_symbol":"↨(($7330$∠⫱$2421$)⫗⊷⫓($3852$≀⫉$3987$)⇋≉)","expression":"↨((↹⩛53534∠⫱↹⩛15113)⫗⊷⫓(↹⩛25500≀⫉↹⩛30243)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2194300,"operation_count":5,"complexity_ratio":438860.0,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":7330,"base":6},"right_expr":{"type":"numeric_atoms","value":2421,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3852,"base":6},"right_expr":{"type":"numeric_atoms","value":3987,"base":6}}}}},"used_operators":["jiX4gk2v2Q","XIabStNQrY","zashukvMKz","QvoQhV0rrE","oZj3VtZNQx"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7330","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=7330, right_input=2421, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3852","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=3987, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2822, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-366","layer":1},{"info":"compute unary expreesion, input=-366, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↨((↹⩛53534∠⫱↹⩛15113)⫗⊷⫓(↹⩛25500≀⫉↹⩛30243)⇋≉)=↹⩛0","reverse_text":"↹⩛0=↨((↹⩛53534∠⫱↹⩛15113)⫗⊷⫓(↹⩛25500≀⫉↹⩛30243)⇋≉)","cot":[{"info":"↹⩛53534∠⫱↹⩛15113=↹⩛5414","layer":3},{"info":"↹⩛25500≀⫉↹⩛30243=↹⩛21022","layer":3},{"info":"↹⩛5414⫗⊷⫓↹⩛21022=↹⩛-342","layer":2},{"info":"↹⩛-342⇋≉=↹⩛-1410","layer":1},{"info":"↨↹⩛-1410=↹⩛0","layer":0}]} +{"id":994,"expression_no_base_symbol":"(∓⪦($2875$⫸⊐$3501$))⪝($6612$⨫⇇↔$2010$⪭($1257$⇚⪠))⩵∡(($4356$⫑%∭)⇴($2180$↡⊰⫅$1383$)↸($1650$⊨$1283$)⇍⊗($4496$⫒⫫$5662$))","expression":"(∓⪦(↹⩛21151⫸⊐↹⩛24113))⪝(↹⩛50340⨫⇇↔↹⩛13150⪭(↹⩛5453⇚⪠))⩵∡((↹⩛32100⫑%∭)⇴(↹⩛14032↡⊰⫅↹⩛10223)↸(↹⩛11350⊨↹⩛5535)⇍⊗(↹⩛32452⫒⫫↹⩛42114))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":22188,"operation_count":14,"complexity_ratio":1584.857142857143,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2875,"base":6},"right_expr":{"type":"numeric_atoms","value":3501,"base":6}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6612,"base":6},"right_expr":{"type":"numeric_atoms","value":2010,"base":6}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1257,"base":6}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":4356,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2180,"base":6},"right_expr":{"type":"numeric_atoms","value":1383,"base":6}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1650,"base":6},"right_expr":{"type":"numeric_atoms","value":1283,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4496,"base":6},"right_expr":{"type":"numeric_atoms","value":5662,"base":6}}}}},"used_operators":["Y7wcNGrDQJ","wicAB68Tmb","D309nIvmXG","mqXw5SEYmG","j9kHMeSvPp","LXhwmt4mBO","Loh9y4A90B","1eCjFl0mb9","4JB6nKBMSY","xUx7qlDO4z","VCtxkLNOzz","5uvYHDjeKN","vg4gO5BX6G","6Ko8hGgeMq"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","COABgblf1C","xUOZtlo3hN","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","NTOWxs364D","COABgblf1C","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2875","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=3501, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13879","layer":3},{"info":"compute unary expreesion, input=13879, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=13471","layer":2},{"info":"number node, value=6612","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=6612, right_input=2010, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1257","layer":4},{"info":"compute unary expreesion, input=1257, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3160098","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=3160098, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=353","layer":2},{"info":"compute binary expreesion, left_input=13471, right_input=353, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-52871","layer":1},{"info":"number node, value=4356","layer":4},{"info":"compute unary expreesion, input=4356, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=2180","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=1383, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2766","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2766, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=1650","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1283, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7631","layer":3},{"info":"number node, value=4496","layer":4},{"info":"number node, value=5662","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=5662, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7631, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-52871, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∓⪦(↹⩛21151⫸⊐↹⩛24113))⪝(↹⩛50340⨫⇇↔↹⩛13150⪭(↹⩛5453⇚⪠))⩵∡((↹⩛32100⫑%∭)⇴(↹⩛14032↡⊰⫅↹⩛10223)↸(↹⩛11350⊨↹⩛5535)⇍⊗(↹⩛32452⫒⫫↹⩛42114))=NaN","reverse_text":"NaN=(∓⪦(↹⩛21151⫸⊐↹⩛24113))⪝(↹⩛50340⨫⇇↔↹⩛13150⪭(↹⩛5453⇚⪠))⩵∡((↹⩛32100⫑%∭)⇴(↹⩛14032↡⊰⫅↹⩛10223)↸(↹⩛11350⊨↹⩛5535)⇍⊗(↹⩛32452⫒⫫↹⩛42114))","cot":[{"info":"↹⩛21151⫸⊐↹⩛24113=↹⩛144131","layer":3},{"info":"∓⪦↹⩛144131=↹⩛142211","layer":2},{"info":"↹⩛50340⨫⇇↔↹⩛13150=↹⩛-2235","layer":3},{"info":"↹⩛5453⇚⪠=↹⩛151422030","layer":3},{"info":"↹⩛-2235⪭↹⩛151422030=↹⩛1345","layer":2},{"info":"↹⩛142211⪝↹⩛1345=↹⩛-1044435","layer":1},{"info":"↹⩛32100⫑%∭=NaN","layer":3},{"info":"↹⩛14032↡⊰⫅↹⩛10223=↹⩛20450","layer":3},{"info":"NaN⇴↹⩛20450=NaN","layer":2},{"info":"↹⩛11350⊨↹⩛5535=↹⩛55155","layer":3},{"info":"↹⩛32452⫒⫫↹⩛42114=NaN","layer":3},{"info":"↹⩛55155⇍⊗NaN=NaN","layer":2},{"info":"NaN↸NaN=NaN","layer":1},{"info":"↹⩛-1044435⩵∡NaN=NaN","layer":0}]} +{"id":995,"expression_no_base_symbol":"((⇋↷$4285$⪬$1247$)⨑≵⋬($2332$≁↽≥$4005$↪⪝))↓((∨∊⋏$1318$)⪒⊣⊆(⊁⨺$1231$)≨(($1908$≋⫹)⋝⋈⪟(⊖$3891$)))","expression":"((⇋↷↹⩛31501⪬↹⩛5435)⨑≵⋬(↹⩛14444≁↽≥↹⩛30313↪⪝))↓((∨∊⋏↹⩛10034)⪒⊣⊆(⊁⨺↹⩛5411)≨((↹⩛12500≋⫹)⋝⋈⪟(⊖↹⩛30003)))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5127782,"operation_count":13,"complexity_ratio":394444.76923076925,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4285,"base":6},"right_expr":{"type":"numeric_atoms","value":1247,"base":6}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2332,"base":6},"right_expr":{"type":"numeric_atoms","value":4005,"base":6}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1318,"base":6}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1231,"base":6}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1908,"base":6}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3891,"base":6}}}}},"used_operators":["Af076pWI7l","XnXgA4xnOs","SWo3A1KBJH","Ez1Nq5fNfI","l07mrZUIn9","ncHt1X6cMc","0KMCeP1Jsh","eRqsBgTDFp","R5aXW34M0v","PxiHyQbrIp","2DDjHMKMc0","N41Kp7NANJ","U6pG0PXrV3"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9HNa5Wba9A","2DDjHMKMc0","oWn0xqSxBt","3Oe9XWJUTD","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","W4YGzv6Whe","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4285","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=1247, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=9872","layer":2},{"info":"number node, value=2332","layer":4},{"info":"number node, value=4005","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=4005, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=44912","layer":3},{"info":"compute unary expreesion, input=44912, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=inf, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=18431","layer":3},{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=18431, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=36862","layer":2},{"info":"number node, value=1908","layer":4},{"info":"compute unary expreesion, input=1908, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3816","layer":3},{"info":"number node, value=3891","layer":4},{"info":"compute unary expreesion, input=3891, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3816, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3816","layer":2},{"info":"compute binary expreesion, left_input=36862, right_input=-3816, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-366144","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-366144, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":6,"result_base":6,"text":"((⇋↷↹⩛31501⪬↹⩛5435)⨑≵⋬(↹⩛14444≁↽≥↹⩛30313↪⪝))↓((∨∊⋏↹⩛10034)⪒⊣⊆(⊁⨺↹⩛5411)≨((↹⩛12500≋⫹)⋝⋈⪟(⊖↹⩛30003)))=↹⩛-342","reverse_text":"↹⩛-342=((⇋↷↹⩛31501⪬↹⩛5435)⨑≵⋬(↹⩛14444≁↽≥↹⩛30313↪⪝))↓((∨∊⋏↹⩛10034)⪒⊣⊆(⊁⨺↹⩛5411)≨((↹⩛12500≋⫹)⋝⋈⪟(⊖↹⩛30003)))","cot":[{"info":"↹⩛31501⪬↹⩛5435=↹⩛5414","layer":3},{"info":"⇋↷↹⩛5414=↹⩛113412","layer":2},{"info":"↹⩛14444≁↽≥↹⩛30313=↹⩛543532","layer":3},{"info":"↹⩛543532↪⪝=Inf","layer":2},{"info":"↹⩛113412⨑≵⋬Inf=NaN","layer":1},{"info":"∨∊⋏↹⩛10034=↹⩛221155","layer":3},{"info":"⊁⨺↹⩛5411=↹⩛424","layer":3},{"info":"↹⩛221155⪒⊣⊆↹⩛424=↹⩛442354","layer":2},{"info":"↹⩛12500≋⫹=↹⩛-25400","layer":3},{"info":"⊖↹⩛30003=↹⩛0","layer":3},{"info":"↹⩛-25400⋝⋈⪟↹⩛0=↹⩛-25400","layer":2},{"info":"↹⩛442354≨↹⩛-25400=↹⩛-11503040","layer":1},{"info":"NaN↓↹⩛-11503040=↹⩛-342","layer":0}]} +{"id":996,"expression_no_base_symbol":"⇵⪽(($3503$≎⊠⪸$1898$)⫗⊷⫓($1033$⫘$1546$)↱(⨂⪏⇭$4126$⩼⇪↪$1507$))","expression":"⇵⪽((↹⩛24115≎⊠⪸↹⩛12442)⫗⊷⫓(↹⩛4441⫘↹⩛11054)↱(⨂⪏⇭↹⩛31034⩼⇪↪↹⩛10551))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2243,"operation_count":7,"complexity_ratio":320.42857142857144,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3503,"base":6},"right_expr":{"type":"numeric_atoms","value":1898,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1033,"base":6},"right_expr":{"type":"numeric_atoms","value":1546,"base":6}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4126,"base":6},"right_expr":{"type":"numeric_atoms","value":1507,"base":6}}}}},"used_operators":["ZGCBLdVRRX","SR5kFfdi6N","zashukvMKz","bJkvcejdHO","48vC8HMD2b","AYdpE9sXAk","ocnLzx9CaJ"],"dependent_operators":["U7g4x0WXJJ","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3503","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=3503, right_input=1898, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=906804","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1546, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1219213","layer":3},{"info":"compute binary expreesion, left_input=906804, right_input=1219213, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=4126","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=1507, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-3080","layer":3},{"info":"compute unary expreesion, input=-3080, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-10219","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-10219, 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=-66440","layer":1},{"info":"compute unary expreesion, input=-66440, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽((↹⩛24115≎⊠⪸↹⩛12442)⫗⊷⫓(↹⩛4441⫘↹⩛11054)↱(⨂⪏⇭↹⩛31034⩼⇪↪↹⩛10551))=NaN","reverse_text":"NaN=⇵⪽((↹⩛24115≎⊠⪸↹⩛12442)⫗⊷⫓(↹⩛4441⫘↹⩛11054)↱(⨂⪏⇭↹⩛31034⩼⇪↪↹⩛10551))","cot":[{"info":"↹⩛24115≎⊠⪸↹⩛12442=↹⩛31234100","layer":3},{"info":"↹⩛4441⫘↹⩛11054=↹⩛42044301","layer":3},{"info":"↹⩛31234100⫗⊷⫓↹⩛42044301=↹⩛-342","layer":2},{"info":"↹⩛31034⩼⇪↪↹⩛10551=↹⩛-22132","layer":3},{"info":"⨂⪏⇭↹⩛-22132=↹⩛-115151","layer":2},{"info":"↹⩛-342↱↹⩛-115151=↹⩛-1231332","layer":1},{"info":"⇵⪽↹⩛-1231332=NaN","layer":0}]} +{"id":997,"expression_no_base_symbol":"↓⇌(($1046$⫗⊷⫓$3701$∠↢$2654$⩦$6708$)⨝⩣∺)","expression":"↓⇌((↹⩛4502⫗⊷⫓↹⩛25045∠↢↹⩛20142⩦↹⩛51020)⨝⩣∺)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2875024,"operation_count":5,"complexity_ratio":575004.8,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1046,"base":6},"right_expr":{"type":"numeric_atoms","value":3701,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2654,"base":6},"right_expr":{"type":"numeric_atoms","value":6708,"base":6}}}}},"used_operators":["PxpmPgHHJV","ancx8kZcWl","KbjG8mgYpV","zashukvMKz","0kmYd0q39Y"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","DZ8iAZOCBD","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛-3041032","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=3701, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2654","layer":4},{"info":"number node, value=6708","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=6708, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5308","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=5308, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-72694","layer":2},{"info":"compute unary expreesion, input=-72694, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-72694","layer":1},{"info":"compute unary expreesion, input=-72694, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-145388","layer":0}],"base":6,"result_base":6,"text":"↓⇌((↹⩛4502⫗⊷⫓↹⩛25045∠↢↹⩛20142⩦↹⩛51020)⨝⩣∺)=↹⩛-3041032","reverse_text":"↹⩛-3041032=↓⇌((↹⩛4502⫗⊷⫓↹⩛25045∠↢↹⩛20142⩦↹⩛51020)⨝⩣∺)","cot":[{"info":"↹⩛4502⫗⊷⫓↹⩛25045=↹⩛-342","layer":3},{"info":"↹⩛20142⩦↹⩛51020=↹⩛40324","layer":3},{"info":"↹⩛-342∠↢↹⩛40324=↹⩛-1320314","layer":2},{"info":"↹⩛-1320314⨝⩣∺=↹⩛-1320314","layer":1},{"info":"↓⇌↹⩛-1320314=↹⩛-3041032","layer":0}]} +{"id":998,"expression_no_base_symbol":"($3783$∳⫺$7480$≧⫂∧$2538$∥⊢⊲$4813$)⋹⋡⊁(⇋⊎⋝($6265$⩖⊿$1009$))⩺⪪(($2794$≥⨤⩑$3635$)⋝⋈⪟$1281$∺≝⩲$1924$⨸⪁(⊬↢$1681$)+⇶⊼$1067$⪭$2854$)","expression":"(↹⩛25303∳⫺↹⩛54344≧⫂∧↹⩛15430∥⊢⊲↹⩛34141)⋹⋡⊁(⇋⊎⋝(↹⩛45001⩖⊿↹⩛4401))⩺⪪((↹⩛20534≥⨤⩑↹⩛24455)⋝⋈⪟↹⩛5533∺≝⩲↹⩛12524⨸⪁(⊬↢↹⩛11441)+⇶⊼↹⩛4535⪭↹⩛21114)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19321,"operation_count":14,"complexity_ratio":1380.0714285714287,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3783,"base":6},"right_expr":{"type":"numeric_atoms","value":7480,"base":6}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2538,"base":6},"right_expr":{"type":"numeric_atoms","value":4813,"base":6}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":6265,"base":6},"right_expr":{"type":"numeric_atoms","value":1009,"base":6}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2794,"base":6},"right_expr":{"type":"numeric_atoms","value":3635,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1281,"base":6},"right_expr":{"type":"numeric_atoms","value":1924,"base":6}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1681,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1067,"base":6},"right_expr":{"type":"numeric_atoms","value":2854,"base":6}}}}},"used_operators":["uvdQJvN4PV","As8RqfVLgs","Ph9nP6C5qx","AzXXKTstlj","v1UQAVDJRr","CzM2PEoXns","RZ5CV9rWsJ","g55IO6H4Gj","2DDjHMKMc0","gJLn6v0xnP","KPf6cnQVty","TpPTUOHfaN","WPoGxAaPR1","j9kHMeSvPp"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","EBcxylXtPf","rGHVDoGpnC","dWAJyo7jo9","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","AHs5Up7iyr","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3783","layer":4},{"info":"number node, value=7480","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=7480, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2538","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=4813, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=6265","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=6265, right_input=1009, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-17070","layer":3},{"info":"compute unary expreesion, input=-17070, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"number node, value=2794","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=3635, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1924, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1234","layer":2},{"info":"number node, value=1681","layer":4},{"info":"compute unary expreesion, input=1681, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2854, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=5, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25303∳⫺↹⩛54344≧⫂∧↹⩛15430∥⊢⊲↹⩛34141)⋹⋡⊁(⇋⊎⋝(↹⩛45001⩖⊿↹⩛4401))⩺⪪((↹⩛20534≥⨤⩑↹⩛24455)⋝⋈⪟↹⩛5533∺≝⩲↹⩛12524⨸⪁(⊬↢↹⩛11441)+⇶⊼↹⩛4535⪭↹⩛21114)=NaN","reverse_text":"NaN=(↹⩛25303∳⫺↹⩛54344≧⫂∧↹⩛15430∥⊢⊲↹⩛34141)⋹⋡⊁(⇋⊎⋝(↹⩛45001⩖⊿↹⩛4401))⩺⪪((↹⩛20534≥⨤⩑↹⩛24455)⋝⋈⪟↹⩛5533∺≝⩲↹⩛12524⨸⪁(⊬↢↹⩛11441)+⇶⊼↹⩛4535⪭↹⩛21114)","cot":[{"info":"↹⩛25303∳⫺↹⩛54344=↹⩛-1112","layer":3},{"info":"↹⩛15430∥⊢⊲↹⩛34141=NaN","layer":3},{"info":"↹⩛-1112≧⫂∧NaN=NaN","layer":2},{"info":"↹⩛45001⩖⊿↹⩛4401=↹⩛-211010","layer":3},{"info":"⇋⊎⋝↹⩛-211010=NaN","layer":2},{"info":"NaN⋹⋡⊁NaN=NaN","layer":1},{"info":"↹⩛20534≥⨤⩑↹⩛24455=↹⩛5414","layer":3},{"info":"↹⩛5533∺≝⩲↹⩛12524=↹⩛424","layer":3},{"info":"↹⩛5414⋝⋈⪟↹⩛424=↹⩛5414","layer":2},{"info":"⊬↢↹⩛11441=↹⩛1002","layer":3},{"info":"↹⩛4535⪭↹⩛21114=↹⩛5","layer":3},{"info":"↹⩛1002+⇶⊼↹⩛5=NaN","layer":2},{"info":"↹⩛5414⨸⪁NaN=NaN","layer":1},{"info":"NaN⩺⪪NaN=NaN","layer":0}]} +{"id":999,"expression_no_base_symbol":"(($6126$⫩)∖$1115$∌$1077$)⇡⇂(($6689$⪶≀⋏$2292$)⊮⊟↴($1567$⋐⇩⊬))⨶","expression":"((↹⩛44210⫩)∖↹⩛5055∌↹⩛4553)⇡⇂((↹⩛50545⪶≀⋏↹⩛14340)⊮⊟↴(↹⩛11131⋐⇩⊬))⨶","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7656,"operation_count":8,"complexity_ratio":957.0,"tree":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":6126,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1115,"base":6},"right_expr":{"type":"numeric_atoms","value":1077,"base":6}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6689,"base":6},"right_expr":{"type":"numeric_atoms","value":2292,"base":6}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1567,"base":6}}}}},"used_operators":["rFxw8gIMmB","UMwdvZNt44","tXD093vOjl","6aG7x05OhS","8cLx32lpNA","QDVgd2eftb","zR4jO40bMj","JuuLT1NoCs"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","dWAJyo7jo9","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"↹⩛12502104","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6126","layer":4},{"info":"compute unary expreesion, input=6126, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1077, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1077","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1077, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=6689","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=6689, right_input=2292, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-24883","layer":3},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1567","layer":3},{"info":"compute binary expreesion, left_input=-24883, right_input=1567, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=207173","layer":1},{"info":"compute unary expreesion, input=207173, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=412600","layer":0}],"base":6,"result_base":6,"text":"((↹⩛44210⫩)∖↹⩛5055∌↹⩛4553)⇡⇂((↹⩛50545⪶≀⋏↹⩛14340)⊮⊟↴(↹⩛11131⋐⇩⊬))⨶=↹⩛12502104","reverse_text":"↹⩛12502104=((↹⩛44210⫩)∖↹⩛5055∌↹⩛4553)⇡⇂((↹⩛50545⪶≀⋏↹⩛14340)⊮⊟↴(↹⩛11131⋐⇩⊬))⨶","cot":[{"info":"↹⩛44210⫩=NaN","layer":3},{"info":"↹⩛5055∌↹⩛4553=↹⩛-4553","layer":3},{"info":"NaN∖↹⩛-4553=↹⩛0","layer":2},{"info":"↹⩛50545⪶≀⋏↹⩛14340=↹⩛-311111","layer":3},{"info":"↹⩛11131⋐⇩⊬=↹⩛11131","layer":3},{"info":"↹⩛-311111⊮⊟↴↹⩛11131=↹⩛0","layer":2},{"info":"↹⩛0⇡⇂↹⩛0=↹⩛4235045","layer":1},{"info":"↹⩛4235045⨶=↹⩛12502104","layer":0}]} +{"id":1000,"expression_no_base_symbol":"≤/(($4510$↡⊰⫅$3430$)⩎⪣⊞)≴⪞⇿((↓⇌$5913$)⊎←↗)","expression":"≤/((↹⩛32514↡⊰⫅↹⩛23514)⩎⪣⊞)≴⪞⇿((↓⇌↹⩛43213)⊎←↗)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":157581,"operation_count":6,"complexity_ratio":26263.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4510,"base":6},"right_expr":{"type":"numeric_atoms","value":3430,"base":6}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":5913,"base":6}}}}},"used_operators":["eLAdDNolq6","lvlrscuwVU","waWucp1uQ4","VCtxkLNOzz","dwb5p0fa6d","PxpmPgHHJV"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","mp7IySMOzn","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","COABgblf1C","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"↹⩛-55512225141","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4510","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=3430, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6860","layer":3},{"info":"compute unary expreesion, input=6860, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=13720","layer":2},{"info":"number node, value=5913","layer":4},{"info":"compute unary expreesion, input=5913, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5913","layer":3},{"info":"compute unary expreesion, input=5913, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-11141","layer":2},{"info":"compute binary expreesion, left_input=13720, right_input=-11141, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=361510457","layer":1},{"info":"compute unary expreesion, input=361510457, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-361509973","layer":0}],"base":6,"result_base":6,"text":"≤/((↹⩛32514↡⊰⫅↹⩛23514)⩎⪣⊞)≴⪞⇿((↓⇌↹⩛43213)⊎←↗)=↹⩛-55512225141","reverse_text":"↹⩛-55512225141=≤/((↹⩛32514↡⊰⫅↹⩛23514)⩎⪣⊞)≴⪞⇿((↓⇌↹⩛43213)⊎←↗)","cot":[{"info":"↹⩛32514↡⊰⫅↹⩛23514=↹⩛51432","layer":3},{"info":"↹⩛51432⩎⪣⊞=↹⩛143304","layer":2},{"info":"↓⇌↹⩛43213=↹⩛43213","layer":3},{"info":"↹⩛43213⊎←↗=↹⩛-123325","layer":2},{"info":"↹⩛143304≴⪞⇿↹⩛-123325=↹⩛55512231305","layer":1},{"info":"≤/↹⩛55512231305=↹⩛-55512225141","layer":0}]}